浙江省2014届高三理科数学一轮复习考试试题精选(1)分类汇编17:导数_图文


We will continue to impr ove the compa ny's inter nal control sy stem, and steady improveme nt in a bility to manage a nd contr ol, optimize business proce sse s, to ensure sm oot h process es, res ponsi bilities i n pla ce; to furt her strengt hen i nternal contr ols, play a control post inde pendent ov ersight role of evaluation com plying wit h third -party res ponsi bility; to a ctively make use of internal a udit tools detect potential management, streamline, standardiz e related transacti ons, strengthe ning operati ons i n accor dance with law. D eepeni ng the information manageme nt to ensure full communicati on "zero resistance". To constantly perfect ERP, and BFS++ , and PI, a nd M IS, and SCM, i nformation sy stem base d construction, full integrati on informati on system, a chieve d information resource s share d; to expand Portal system a ppli cation of breadt h and de pth, play i nformation sy stem on e nterprise of As sistant rol e; to perfect daily r un mainte nance operation of records, promote problem reasons a nalysis a nd system handover; t o strengtheni ng BFS++, a nd ERP, and S CM, technology a ppli cation of training , improve employees a ppli cation information system of ca pacity a nd level. Humanisti c care to ens ure "zero." To strengtheni ng Humanities care , continues to foster compa ny wind clea r, and gas are, a nd heart Shun of culture atmos phere; strengt heni ng love helpe d trapped, care difficult em ployee s; carrie d out style activitie s, rich employe es life; strengt heni ng healt h and la bour prote ction, orga nization career health me dical, co ntrol care er against; continues to impl ementation psy chological warni ng preventi on sy stem, training employees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude, created friendly fraternity of Huma nities envir onme nt. To stre ngthe n risk manageme nt, ensure that t he business of "zero risk". To stre ngthe ned busi nes s pla ns manageme nt, will busi nes s busine ss pl ans cover to all l evel, ensure the busine ss can control i n control ; to cl ose concer n financial, a nd coal ele ctric li nkage, and energy-savi ng scheduling, nati onal poli cy trends, strengt heni ng track, active shoul d; to impleme ntation State-ow ne d assets met hod, further s pe cification busine ss fina ncial ma nagement; t o perfect risk t ube contr ol system, achieved ri sk recognition, and meas ure, and asse ssment, a nd re port, a nd contr ol feedback of close d ring management, impr ove risk preve ntion capa city. To further standardize trading, a nd strive to a chi eve "accordi ng to law, standardize a nd fair." Innovati on of performance management, t o ens ure that potential em ployee s "zero fly". To stre ngthe n performance manageme nt, pr oces s control, e nha nce em ployee eval uation and levels of effective communi cation to improve performance manageme nt. To further quantify and refine employee sta ndar ds .. . Work, full pl ay party, a nd branch, a nd member s in "five type Enter prise" constr uction in t he of cor e role, a nd fighting fortres s role and pi oneer m odel r ole; to conti nue s to strengt heni ng "four good" leader shi p construction

浙江省 2014 届高三理科数学一轮复习考试试题精选(1)分类汇编 17:导数
一、选择题 1 . (浙江省杭州高级中学 2014 届高三上学期第一次月考数学(理)试题)函数 f ( x ) 在定义域 R 内可导,若

1 f ( x) ? f (2 ? x), 且 ( x ? 1) f '( x) ? 0 ,若 a ? f (0), b ? f ( ), c ? f (3), 则 a, b, c 的大小关系是( 2 A. a ? b ? c B. c ? b ? a C. b ? a ? c D. a ? c ? b
【答案】C 2 . ( 浙 江 省 建 人 高 复 2014 届 高 三 上 学 期 第 一 次 月 考 数 学 ( 理 ) 试 题 ) 设 f ( x) ?



f(

n? n? ? ) ? f ( ? ) 的最小正整数 n 是 6 6 6
B.8 C.9 D.10

sin x ,则满足 x
( )

A.7
【答案】C

3 . (浙江省台州市黄岩中学 2013-2014 学年高三第一学期第一次月考数学(理)试题)已知 f ( x ) 是定义在 R 上

的偶函数,且对于 ?x ? R, x ? f ' ( x) ? 0 ,若 f (a ? 1) ? f (3 ? a) ? 0 ,则 a 的取值范围 ( ) A. (1, 2) B. (2,3) C. (0, 2) D. (2, ??) 【答案】D 3 2 4 . (浙江省乐清市白象中学 2014 届高三上学期第二次月考数学(理)试题)函数 f(x)=x +ax +3x-9,已知 f(x) 在 x=-3 时取得极值,则 a= ( ) A.2 B.3 C.4 D.5 【答案】D 5 . (浙江省杭州高级中学 2014 届高三上学期第一次月考数学(理)试题)如图是导函数 y ? f ?( x) 的图像, 则下列命题错误的是
[来源:学§科§网]

( A.导函数 y ? f ?( x) 在 x ? x1 处有极小值 B.导函数 y ? f ?( x) 在 x ? x2 处有极大值 C.函数 y ? f ( x)在x ? x3 处有极小值 D.函数 y ? f ( x)在x ? x4 处有极小值
【答案】C



6 . (浙江省湖州市菱湖中学 2014 届高三 10 月月考数学(理)试题)函数 y ? x cos x ? sin x 在下面哪个区间

内是增函数

? 3? A. ( , ) 2 2
【答案】C

B. (

3? 5? , ) 2 2

C. (? ,2? )

D. (2? ,3? )

7 . (浙江省杭州市西湖高级中学 2014 届高三 9 月月考数学(理科)试题)设函数 y ? x sin x ? cos x 的图象

上的点 ( x0 , y0 ) 处的切线的斜率为 k,若 k ? g ( x0 ) ,则函数 k ? g ( x0 ) 的图象大致为

【答案】A
play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And m aintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety manag ement, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 平 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 more spirited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, t o create a gree n, low -cost operation, full of humane care of a worl d-class power ge neration company a nd w ork hard! T he occasi on of the Spri ng Festival, my sincere w ish t hat you a nd the families of the staff in the new yea r, good health, hap py, happy! To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a hi gher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of y ear, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s m ature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight

We will continue to impr ove the compa ny's inter nal control sy stem, and steady improveme nt in a bility to manage a nd contr ol, optimize business proce sse s, to ensure sm oot h process es, res ponsi bilities i n pla ce; to furt her strengt hen i nternal contr ols, play a control post inde pendent ov ersight role of evaluation com plying wit h third -party res ponsi bility; to a ctively make use of internal a udit tools detect potential management, streamline, standardiz e related transacti ons, strengthe ning operati ons i n accor dance with law. D eepeni ng the information manageme nt to ensure full communicati on "zero resistance". To constantly perfect ERP, and BFS++ , and PI, a nd M IS, and SCM, i nformation sy stem base d construction, full integrati on informati on sy stem, a chieve d information resource s share d; to expand Portal system a ppli cation of breadt h and de pth, play i nformation sy stem on e nterprise of As sistant rol e; to perfect daily r un mainte nance operation of records, promote problem reasons a nalysis a nd syst em handover; t o strengtheni ng BFS++, a nd ERP, and S CM, technology a ppli cation of training , improve employees a ppli cation information system of ca pacity a nd level. Humanisti c care to ens ure "zero." To strengtheni ng Humanities care , continues to foster compa ny wind clea r, and gas are, a nd heart Shun of culture atmos phere; strengt heni ng love helpe d trapped, care difficult em ployee s; carrie d out style activitie s, rich employe es life; strengt heni ng healt h and la bour prote ction, orga nization career health me di cal, control care er against; continues to impl ementation psy chological warni ng preventi on sy stem, training employees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude, created friendly fraternity of Huma nities envir onme nt. To stre ngthe n risk manageme nt, ensure that t he business of "zero risk". To stre ngthe ned busi nes s pla ns manageme nt, will busi nes s busine ss pl ans cover to all l evel, ensure the busine ss can control i n control ; to cl ose concer n financial, a nd coal ele ctric li nkage, and energy-savi ng scheduling, nati onal poli cy trends, strengt heni ng track, active shoul d; to impleme ntation State-ow ne d assets met hod, further s pe cification busine ss fina ncial ma nagement; t o perfect risk t ube contr ol system, achieved ri sk recognition, and meas ure, and asse ssment, a nd re port, a nd contr ol feedback of close d ring management, impr ove risk preve ntion capa city. To further standardize trading, a nd strive to a chi eve "accordi ng to law, standardize a nd fair." Innovati on of performance management, t o ens ure that potential em ployee s "zero fly". To stre ngthe n performance manageme nt, pr oces s control, e nha nce em ployee eval uation an d levels of effective communi cation to improve performance manageme nt. To further quantify and refine employee sta ndar ds .. . Work, full play party, a nd branch, a nd member s in "five type Enter prise" constr uction in t he of cor e role, a nd fighting fortres s role and pi oneer m odel r ole; to conti nue s to strengt heni ng "four good" leader shi p construction

8 . (浙江省绍兴市第一中学 2014 届高三上学期期中考试数学(理)试题)已知

f ?x ? ? x ln x ,若 f′(x0)=2,则
( )

x0 等于 A. e
2

B. e

ln 2 C. 2

D. ln 2

【答案】B 9 . (浙江省湖州中学 2014 届高三第一次月考数学 (理) 试题) 定义方程 f ? x ? ? f ? ? x ? 的实数根 x0 为函数 f ? x ?

? 、? , 则 的 “ 新 驻 点 ”, 若 函 数 g ? x ? ? x , h ? x ? ? ln ? x ? 1? , ? ? x ? ? x3 ? 1 的 “ 新 驻 点 ” 分 别 为 ? 、
( A. ? ? ? ? ? 【答案】C B. ? ? ? ? ? C. ? ? ? ? ? D. ? ? ? ? ? )

10. (浙江省慈溪中学 2014 届高三 10 月月考数学(理)试题)已知 f ( x ) ?

存在实数 t ,使 f ?(t ) ? 0 ,则 f ?(t ? 2) ? f ?( A.必为正数 【答案】B B.必为负数

2t ? 1 ) 的值 3
C.必为非负

1 3 x ? x 2 ? ax ? m ,其中 a ? 0 ,如果 3
( )

D.必为非正

11 . (浙江省建人高复 2014 届高三上学期第一次月考数学(理)试题) 函数 f(x) 在定义域 R 内可导 , 若

f(x)=f(2-x),且当 x∈(-∞,1)时, ( x ? 1) f '( x) <0,设 a=f(0),b=f( A.a<b<c 【答案】B B.c<a<b C.c <b<a

1 ),c=f(3),则 2





D.b<c<a

12 . (浙江省台州市黄岩中学 2013-2014 学年高三第一学期第一次月考数学 ( 理 ) 试题) 已知 a 为常数,函数

f ( x) ? x(ln x ? ax) 有两个极值点 x1 , x2 ( x1 ? x2 ) ,则 1 1 A. f ( x1 ) ? 0, f ( x2 ) ? ? B. f ( x1 ) ? 0, f ( x2 ) ? ? 2 2 1 1 C. f ( x1 ) ? 0, f ( x2 ) ? ? D. f ( x1 ) ? 0, f ( x2 ) ? ? 2 2
【答案】D





13 .( 浙 江 省 湖 州 市 菱 湖 中 学 2014 届 高 三 10 月 月 考 数 学 ( 理 ) 试 题 ) 设 函 数

2e 1 f ( x) ? p( x ? ) ? 2 ln x , g ( x ) ? , x ? [2, e] ,若 p >1,且对任意 x1 ? [2, e] ,存在 x2 ? [2, e] ,使不 x x 等式 f ( x1 ) ? g ( x2 ) 成立,则 p 的取值范围为 2e ? 4 ln 2 4e 4 ? 4 ln 2 4e 4 ? 4 ln 2 A. ( ,?? ) B. ( 2 ,?? ) C. ( ,?? ) D. ( 2 , ) 3 3 3 e ?1 e ?1
【答案】C 14. (浙江省湖州市菱湖中学 2014 届高三 10 月月考数学(理)试题)曲 线

f ( x) ? x 3 ? x ? 2 在 P0 处的切线

平行于直线 y ? 4 x ? 1 ,则 P0 点的坐标为

A. (1, 0)
【答案】B

B. (1, 0) 和 (?1, ?4)

C. (2,8)

D. (2,8) 和 (?1, ?4)

15. (浙江省临海市杜桥中学 2014 届高三上学期第二次月考数学(理)试题)曲线 y

? ? x 3 ? 3x 2 在点 (1, 2) 处
( ) D. y ? 2 x

的切线方程为 A. y ? 3 x ? 5 【答案】C

B. y ? ?3x ? 5

C. y ? 3 x ? 1

16. (浙江省温州市平阳中学 2014 届高三 10 月月考数学(理)试题)对任意实数 x ,函数 f ( x ) 的导数存在,
/ 若 f ( x) ? f ( x) 且 a ? 0 ,则以下正确的是


a



A. f (a) ? e ? f (0)
a
more spirited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, t o create a gree n, low -cost operation, full of humane care of a worl d-class power ge neration company a nd w ork hard! T he occasi on of the Spri ng Festival, my sincere w ish t hat you a nd the families of the staff in the new yea r, good health, happy, happy!

B. f (a) ? e ? f (0) C. f (a) ? f (0) D. f (a) ? f (0)
To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight

play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city a nd e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 平 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利

We will continue to impr ove the compa ny's inter nal control sy stem, and steady improveme nt in a bility to manage a nd contr ol, o ptimize business proce sse s, to ensure sm oot h process es, res ponsi bilities i n pla ce; to furt her strengt hen i nternal contr ols, play a control post inde pendent ov ersight role of evaluation com plying wit h third -party res ponsi bility; to a ctively make use of internal a udit tools detect potential management, streamline, standardiz e related transacti ons, strengthe ning operati ons i n accor dance with law. D eepeni ng the information m anageme nt to ensure full communicati on "zero resistance". To constantly perfect ERP, and BFS++ , and PI, a nd M IS, and SCM, i nform ation sy stem base d construction, full integrati on informati on system, a chieve d information resource s share d; to expand Portal system a ppli cation of breadt h and de pth, play i nformation sy stem on e nterprise of As sistant rol e; to perfect daily r un mainte nance operation of records, promote problem reasons a nalysis a nd system handover; t o strengtheni ng BFS++, a nd ERP, and S CM, technology a ppli cation of training , improve employees a ppli cation information system of ca pacity a nd level. Humanisti c care to ens ure "zero." To strengtheni ng Humanities care , continues to foster compa ny wind clea r, and gas are, a nd heart Shun of culture atmos phere; strengt heni ng love helpe d trapped, care difficult em ployee s; carrie d out style activitie s, rich employe es life; strengt heni ng healt h and la bour prote ction, orga nization career health me dical, control care er against; continues to impl ementation psy chological warni ng preventi on sy stem, training employees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude, created friendly fraternity of Huma nities envir onme nt. To stre ngthe n risk manageme nt, ensure that t he business of "zero risk". To stre ngthe ned busi nes s pla ns manageme nt, will busi nes s busine ss pl ans cover to all l evel, ensure the busine ss can control i n c ontrol ; to cl ose concer n financial, a nd coal ele ctric li nkage, and energy-savi ng scheduling, nati onal poli cy trends, strengt heni ng track, active shoul d; to impleme ntation State-ow ne d assets met hod, further s pe cification busine ss fina ncial ma nagement; t o perfect risk t ube contr ol system, achieved ri sk recognition, and meas ure, and asse ssment, a nd re port, a nd contr ol feedback of close d ring management, impr ove risk preve ntion capa city. To further standardize trading, a nd strive to a chi eve "accordi ng to law, standardize a nd fair." Innovati on of performance management, t o ens ure that potential em ployee s "zero fly". To stre ngthe n perform ance manageme nt, pr oces s control, e nha nce em ployee eval uation and levels of effective communi cation to improve performance manageme nt. To further quantify and refine employee sta ndar ds .. . Work, full play party, a nd branch, a nd member s in "five type Enter prise" constr uction in t he of cor e role, a nd fighting fortres s role and pi oneer m odel r ole; to conti nue s to strengt heni ng "four good" leader shi p

constructi on

【答案】B 二、填空题 17. (浙江省湖州市菱湖中学 2014 届高三 10 月月考数学 (理) 试题) 设函数

f ?( x) ? 2x3 ? ax2 ? x , f ?(1) = 9,

则 a ? __________. 【答案】6
18. (浙江省平阳县第三中学 2014 届高三上学期第一次月考数学(理)试题)设函数, f ( x) ? x e ? 1 ?
x

?

?

1 2 x , 2

则函数 f ( x) 的单调增区间为______.
【答案】

? ?1, ???
1 3 x ? ax 2 ? 5 x ? 6 在 [1,3] 上 3

19. (浙江省湖州市菱湖中学 2014 届高三 10 月月考数学(理)试题)设 f ( x) ?

为单调函数,则实数 a 的取值范围为____
【答案】 (??, ?3] ?[?

5, ??)
a , g ( x) ? x ? ln x , x

20. (浙江省东阳中学 2014 届高三 10 月月考数学(理)试题)设 a ? 0 ,函数 f ( x) ? x ?

若对任意的 x1 , x2 ? [1, e] ,都有 f ( x1 ) ? g ( x2 ) 成立,则 a 的取值范围为___ ___.
【答案】 [e ? 2, ??) 21 . ( 浙 江 省 台 州 市 黄 岩 中 学 2013-2014 学 年 高 三 第 一 学 期 第 一 次 月 考 数 学 ( 理 ) 试 题 ) 若

【答案】 ? ?1

1 f ? x ? = ? x 2 ? b ln( x ? 2)在(-1,+?)上是减函数,则 b 的取值范围是______. 2

22. (浙江省温州市平阳中学 2014 届高三 10 月月考数学(理)试题)函数

f ( x) ? x 3 ? ax2 ? bx ? a 2在x ? 1

处有极值 10,则 a 的值为_____________. 【答案】4
23 .( 浙 江 省 杭 州 市 西 湖 高 级 中 学 2014 届 高 三 9 月 月 考 数 学 ( 理 科 ) 试 题 ) 若 函 数

1 3 a | x | ? x 2 ? (3 ? a) | x | ?b 有六个不同的单调区间,则实数 a 的取 值范围是____ ___. 3 2 【答案】 (2,3) f ( x) ?
24. (浙江省金华一中 2014 届高三 10 月月考数学(理)试卷)过函数

f ( x) ? x3 ? 3x 上的点 M (?2, ?2) 的切线

方程是______________. 【答案】 y ? ?2 和 y ? 9 x ? 16
25. (浙江省乐清市白象中学 2014 届高三上学期第二次月考数学(理)试题)曲线 y ? ln x 在点

?1,0? 处的切

线方程为_______.
【答案】 y ? x ? 1 26. (浙江省慈溪中学 2014 届高三 10 月月考数学(理)试题)已知函数 f ( x) ?

1 3 x ? ax 2 ? 3x 在 (0,1) 上不是 3

单调函数,则实数 a 的取值范围为__________.
【答案】

(??,?2)

27. (浙江省临海市杜桥中学 2014 届高三上学期第二次月考数学 (理)试题)若函数 f ( x ) ?

1 3 x ? x 2 ? mx ? 3 3

在 R 上单调递增,则 m 的取值范围是______.
【答案】 m ? 1 28. (浙江省临海市杜桥中学 2014 届高三上学期第二次月考数学(理)试题)已知

f ( x) ? x 3 ? ax2 ? 4 x 有两

个极值点 x1 、 x2 ,且 f ( x ) 在区间(0,1)上有极大值,无极小值,则 a 的取值 范围是______
play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , A nd maintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety m anagement, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism . 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 平 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 more spirited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, t o create a gree n, low -cost operation, full of humane care of a worl d-class power ge neration company a nd w ork hard! T he occasi on of the Spri ng Festival, my sincere w ish t hat you a nd the families of the staff in the new yea r, good health, happy, To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration compani e s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight

happy!

We will continue to impr ove the compa ny's inter nal control sy stem, and steady improveme nt in a bility to manage a nd contr ol, optimize business proce sse s, to ensure sm oot h process es, res ponsi bilities i n pla ce; to furt her strengt hen i nternal contr ols, play a control post inde pendent ov ersight role of evaluation com plying wit h third -party res ponsi bility; to a ctively make use of internal a udit tools detect potential management, streamline, standardiz e related transacti ons, strengthe ning operati ons i n accor dance with law. D eepeni ng the information manageme nt to ensure full communicati on "zero resistance". To constantly perfect ERP, and BFS++ , and PI, a nd M IS, and SCM, i nformation sy stem base d construction, full integrati on informati on sy stem, a chieve d information resource s share d; to expand Portal system a ppli cation of breadt h and de pth, play i nformation sy stem on e nterprise of As sistant rol e; to perfect daily r un mainte nance operation of records, promote problem reasons a nalysis a nd syst em handover; t o strengtheni ng BFS++, a nd ERP, and S CM, technology a ppli cation of training , improve employees a ppli cation information system of ca pacity a nd level. Humanisti c care to ens ure "zero." To strengtheni ng Humanities care , continues to foster compa ny wind clea r, and gas are, a nd heart Shun of culture atmos phere; strengt heni ng love helpe d trapped, care difficult em ployee s; carrie d out style activitie s, rich employe es life; strengt heni ng healt h and la bour prote ction, orga nization career health me di cal, control care er against; continues to impl ementation psy chological warni ng preventi on sy stem, training employees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude, created friendly fraternity of Huma nities envir onme nt. To stre ngthe n risk manageme nt, ensure that t he business of "zero risk". To stre ngthe ned busi nes s pla ns manageme nt, will busi nes s busine ss pl ans cover to all l evel, ensure the busine ss can control i n control ; to cl ose concer n financial, a nd coal ele ctric li nkage, and energy-savi ng scheduling, nati onal poli cy trends, strengt heni ng track, active shoul d; to impleme ntation State-ow ne d assets met hod, further s pe cification busine ss fina ncial ma nagement; t o perfect risk t ube contr ol system, achieved ri sk recognition, and meas ure, and asse ssment, a nd re port, a nd contr ol feedback of close d ring management, impr ove risk preve ntion capa city. To further standardize trading, a nd strive to a chi eve "accordi ng to law, standardize a nd fair." Innovati on of performance management, t o ens ure that potential em ployee s "zero fly". To stre ngthe n performance manageme nt, pr oces s control, e nha nce em ployee eval uation an d levels of effective communi cation to improve performance manageme nt. To further quantify and refine employee sta ndar ds .. . Work, full play party, a nd branch, a nd member s in "five type Enter prise" constr uction in t he of cor e role, a nd fighting fortres s role and pi oneer m odel r ole; to conti nue s to strengt heni ng "four good" leader shi p construction

【答案】 a ?

7 2

29. (浙江省东阳中学 2014 届高三 10 月月考数学(理)试题)已知曲线 C:

f ( x) ? x3 ? ax ? a ,若过曲线 C

外一点 A(1,0) 引曲线 C 的两条切线,它们的倾斜角互补,则 a 的值为_____ ____.
【答案】

27 8

30. (浙江省平阳县第三中学 2014 届高三上学期第一次月考数学 (理) 试题) 函数

f ( x) ? x3 ? ax2 ? bx ? a2

在 x ? 1 处有极值 10,则 a ? b ? ___________
【答案】 ?7 31 . ( 浙 江 省 岱 山 县 大 衢 中 学 2014 届 高 三 10 月 月 考 数 学 ( 理 ) 试 题 ) 已 知

f ( x) ? x2 ? 2xf ' (1) , 则

f ' (0) ? _________.
【答案】-4 三、解答题 32. (浙江省 2014 届金华一中高三 9 月月考数学试卷(理) )已知函数 f ( x) ?
mx x ?n
2

(m, n ? R) 在 x ? 1 处取得

极值 2 . (Ⅰ)求 f ( x) 的解析式; (Ⅱ)设 A 是曲线 y ? f ( x) 上除原点 O 外的任意一点,过 OA 的中点且垂直于 x 轴的直线交曲线于点 B , 试问:是否存在这样的点 A ,使得曲线在点 B 处的切线与 OA 平行?若存在,求出点 A 的坐标;若不存在, 说明理由; (Ⅲ)设函数 g ( x) ? x2 ? 2ax ? a ,若对于任意 x1 ? R ,总存在 x2 ?[?1,1] ,使得 g ( x2 ) ? f ( x1 ) ,求实数 a 的 取值范围.
【答案】解:⑴∵ f ( x) ?
mx x ?n
2

,∴ f ?( x) ?

m( x ? n ) ? mx ? 2 x ( x ? n)
2 2

2

?

mn ? mx ( x ? n)
2

2

2

.又 f ( x) 在 x ? 1 处取得极值 2 .

m ( n ?1) ? 4x ? ? f ?(1) ? 0 2 ? 0 ∴? ,即 ? (1? n ) ,解得 n ? 1 , m ? 4 ,经检验满足题意,∴ f ( x) ? 2 . m f (1) ? 2 x ?1 ? ? 2 ? ?1? n

⑵由⑴知 f ?( x) ? 又 f ?(
x0

4 ? 4x
2

2 2

( x ? 1)

.假设存在满足条件的点 A ,且 A( x0 ,
2

4 x0
2 x0

?1

) ,则 kOA ?
2

4
2 x0

?1

,

x0 2 4 ? 4( 2 ) )? x 2 2 0 2 [( 2 ) ? 1]

?

16(4 ? x0 )
2 ( x0

? 4)

2

.则由 kOA ? f ?(

x0 2

) ,得

4
2 x0

?1

?

16(4 ? x0 )
2 ( x0

? 4)

2

4 2 ,∴ 5 x0 ,∵ x0 ? 0 , ? 4 x0

2 ∴ x0 ? ,得 x0 ? ?

4

2 5 5
2

5

.故存在满足条件的点 A ,此时点 A 的坐标为 (
2

2 5 8 5 5

,

9

) 或 (?

2 5 5

,?

8 5 9

).

⑶解法 1 : f ?( x) ?

?4( x ? 1)( x ? 1) ( x ? 1)

,令 f ?( x) ? 0 ,得 x ? ?1 或 x ? 1 .

当 x 变化时, f ?( x) 、 f ( x) 的变化情况如下表: (??, ?1) x ?1

( ?1,1)

0 0 ? ? ? 单调递 单调递 单调递 f ( x) 极小值 极大值 减 增 减 ∴ f ( x) 在 x ? ?1 处取得极小值 f (?1) ? ?2 ,在 x ? 1 处取得极大值 f (1) ? 2 . 又 x ? 0 时, f ( x) ? 0 ,∴ f ( x) 的最小值为 f (?1) ? ?2 . ∵对于任意的 x1 ? R ,总存在 x2 ?[?1,1] ,使得 g ( x2 ) ? f ( x1 ) ,∴当 x ? [?1,1] 时, g ( x) 最小值不大于 ?2 .
又 g ( x) ? x2 ? 2ax ? a ? ( x ? a)2 ? a ? a2 . ∴当 a ? ?1 时, g ( x) 的最小值为 g (?1) ? 1 ? 3a ,由 1 ? 3a ? ?2 ,得 a ? ?1 ; 当 a ? 1 时, g ( x) 最小值为 g (1) ? 1 ? a ,由 1 ? a ? ?2 ,得 a ? 3 ; 当 ?1 ? a ? 1 时, g ( x) 的最小值为 g (a) ? a ? a 2 .由 a ? a 2 ? ?2 ,即 a 2 ? a ? 2 ? 0 ,解得 a ? ?1 或 a ? 2 .又
play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city a nd e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 平 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 more spirited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, t o create a gree n, low -cost operation, full of humane care of a worl d-class power ge neration company a nd w ork hard! T he occasi on of the Spri ng Festival, my sincere w ish t hat you a nd the families of the staff in the new yea r, good health, happy, happy! To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight

f ?( x)

1

(1, ??)

We will continue to impr ove the compa ny's inter nal control sy stem, and steady improveme nt in a bility to manage a nd contr ol, o ptimize business proce sse s, to ensure sm oot h process es, res ponsi bilities i n pla ce; to furt her strengt hen i nternal contr ols, play a control post inde pendent ov ersight role of evaluation com plying wit h third -party res ponsi bility; to a ctively make use of internal a udit tools detect potential management, streamline, standardiz e related transacti ons, strengthe ning operati ons i n accor dance with law. D eepeni ng the information m anageme nt to ensure full communicati on "zero resistance". To constantly perfect ERP, and BFS++ , and PI, a nd M IS, and SCM, i nform ation sy stem base d construction, full integrati on informati on system, a chieve d information resource s share d; to expand Portal system a ppli cation of breadt h and de pth, play i nformation sy stem on e nterprise of As sistant rol e; to perfect daily r un mainte nance operation of records, promote problem reasons a nalysis a nd system handover; t o strengtheni ng BFS++, a nd ERP, and S CM, technology a ppli cation of training , improve employees a ppli cation information system of ca pacity a nd level. Humanisti c care to ens ure "zero." To strengtheni ng Humanities care , continues to foster compa ny wind clea r, and gas are, a nd heart Shun of culture atmos phere; strengt heni ng love helpe d trapped, care difficult em ployee s; carrie d out style activitie s, rich employe es life; strengt heni ng healt h and la bour prote ction, orga nization career health me dical, control care er against; continues to impl ementation psy chological warni ng preventi on sy stem, training employees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude, created friendly fraternity of Huma nities envir onme nt. To stre ngthe n risk manageme nt, ensure that t he business of "zero risk". To stre ngthe ned busi nes s pla ns manageme nt, will busi nes s busine ss pl ans cover to all l evel, ensure the busine ss can control i n c ontrol ; to cl ose concer n financial, a nd coal ele ctric li nkage, and energy-savi ng scheduling, nati onal poli cy trends, strengt heni ng track, active shoul d; to impleme ntation State-ow ne d assets met hod, further s pe cification busine ss fina ncial ma nagement; t o perfect risk t ube contr ol system, achieved ri sk recognition, and meas ure, and asse ssment, a nd re port, a nd contr ol feedback of close d ring management, impr ove risk preve ntion capa city. To further standardize trading, a nd strive to a chi eve "accordi ng to law, standardize a nd fair." Innovati on of performance management, t o ens ure that potential em ployee s "zero fly". To stre ngthe n perform ance manageme nt, pr oces s control, e nha nce em ployee eval uation and levels of effective communi cation to improve performance manageme nt. To further quantify and refine employee sta ndar ds .. . Work, full play party, a nd branch, a nd member s in "five type Enter prise" constr uction in t he of cor e role, a nd fighting fortres s role and pi oneer m odel r ole; to conti nue s to strengt heni ng "four good" leader shi p

constructi on

?1 ? a ? 1 ,∴此时 a 不存在. 解法 2 :同解法 1 得 f ( x) 的最小值为 ?2 .

综上, a 的取值范围是 (??, ?1] [3, ??) .

∵ 对 于 任 意 的 x1 ? R , 总 存 在 x2 ?[? 1,1], 使 得 g ( x2 ) ? f ( x1 ) ,∴ 当 x ? [?1,1] 时 , g ( x) ? ?2 有 解 , 即

x 2 ? 2ax ? a ? 2 ? 0 在 [ ?1,1] 上有解.设 h( x) ? x2 ? 2ax ? a ? 2 ,则

[来源:Z。xx。k.Com]

?? ? 4a 2 ? 4(a ? 2) ? 4(a ? 1)(a ? 2) ? 0 ? ??1 ? a ? 1 得 a ? ? , 或 h(?1)h(1) ? (3a ? 3)(?a ? 3) ? 0 ,得 a ? ?1 或 a ? 3 . ? ?h(?1) ? 3a ? 3 ? 0 ? ?h(1) ? ?a ? 3 ? 0

∴ a ? ?1 或 a ? 3 时, x 2 ? 2ax ? a ? 2 ? 0 在 [ ?1,1] 上有解,故 a 的取值范围是 (??, ?1] [3, ??) . 解法 3 :同解法 1 得 f ( x) 的最小值为 ?2 . ∵对于任意的 x1 ? R ,总存在 x2 ?[?1,1] ,使得 g ( x2 ) ? f ( x1 ) ,∴当 x ? [?1,1] 时, g ( x) ? x2 ? 2ax ? a ? ?2 有解,即 (2 x ? 1)a ? x 2 ? 2 在 [ ?1,1] 上有解.令 2 x ? 1 ? t ,则 x 2 ?
1 9 t 1 1 9 t
t ? 2t ? 1 4
2

,∴ at ?
9

t ? 2t ? 9 4

2

, t ? [?3,1] .

∴当 t ? [?3,0) 时, a ? (t ? 2 ? ) ? ? [(?t ) ? (? )] ? ?1 ;当 t ? 0 时,得 0 ? ,不成立,∴ a 不存在;
4 2 4 4

当 t ? (0,1) 时 , a ? (t ? 2 ? ) . 令 ? (t ) ? t ? 2 ? , t ? (0,1] ,∵ t ? (0,1] 时 , ? ?( x) ? 1 ?
4 t t

1

9

9

9 t
2

? 0 ,∴ ? (t ) 在

(0,1]
上为减函数,∴ ? (t ) ? ? (1) ? 12 ,∴ a ? ?12 ? 3 .
4 1

综上, a 的取值范围是 (??, ?1] [3, ??) .

33. (浙江省湖州市菱湖中学 2014 届高三 10 月月考数学(理)试题)已知函数

f ( x) ? x3 ? 2x2 ? 1 。

(1)求 f ( x ) 在区间 [?1,1] 上的最大值; (2)求曲线 y ? f ( x) 在点 (1, 0) 处的切线方程; (3)若函数 g ( x) ? f ( x) ? mx 在区间 [?2, 2] 上存在递增区间,求实数 m 的取值范围。
【答案】

play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , A nd maintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety m anagement, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism . 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 平 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 more spirited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, t o create a gree n, low -cost operation, full of humane care of a worl d-class power ge neration company a nd w ork hard! T he occasi on of the Spri ng Festival, my sincere w ish t hat you a nd the families of the staff in the new yea r, good health, happy,

To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration compani e s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight

happy!

We will continue to impr ove the compa ny's inter nal control sy stem, and steady improveme nt in a bility to manage a nd contr ol, optimize business proce sse s, to ensure sm oot h process es, res ponsi bilities i n pla ce; to furt her strengt hen i nternal contr ols, play a control post inde pendent ov ersight role of evaluation com plying wit h third -party res ponsi bility; to a ctively make use of internal a udit tools detect potential management, streamline, standardiz e related transacti ons, strengthe ning operati ons i n accor dance with law. D eepeni ng the information manageme nt to ensure full communicati on "zero resistance". To constantly perfect ERP, and BFS++ , and PI, a nd M IS, and SCM, i nformation sy stem base d construction, full integrati on informati on sy stem, a chieve d information resource s share d; to expand Portal system a ppli cation of breadt h and de pth, play i nformation sy stem on e nterprise of As sistant rol e; to perfect daily r un mainte nance operation of records, promote problem reasons a nalysis a nd syst em handover; t o strengtheni ng BFS++, a nd ERP, and S CM, technology a ppli cation of training , improve employees a ppli cation information system of ca pacity a nd level. Humanisti c care to ens ure "zero." To strengtheni ng Humanities care , continues to foster compa ny wind clea r, and gas are, a nd heart Shun of culture atmos phere; strengt heni ng love helpe d trapped, care difficult em ployee s; carrie d out style activitie s, rich employe es life; strengt heni ng healt h and la bour prote ction, orga nization career health me di cal, control care er against; continues to impl ementation psy chological warni ng preventi on sy stem, training employees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude, created friendly fraternity of Huma nities envir onme nt. To stre ngthe n risk manageme nt, ensure that t he business of "zero risk". To stre ngthe ned busi nes s pla ns manageme nt, will busi nes s busine ss pl ans cover to all l evel, ensure the busine ss can control i n control ; to cl ose concer n financial, a nd coal ele ctric li nkage, and energy-savi ng scheduling, nati onal poli cy trends, strengt heni ng track, active shoul d; to impleme ntation State-ow ne d assets met hod, further s pe cification busine ss fina ncial ma nagement; t o perfect risk t ube contr ol system, achieved ri sk recognition, and meas ure, and asse ssment, a nd re port, a nd contr ol feedback of close d ring management, impr ove risk preve ntion capa city. To further standardize trading, a nd strive to a chi eve "accordi ng to law, standardize a nd fair." Innovati on of performance management, t o ens ure that potential em ployee s "zero fly". To stre ngthe n performance manageme nt, pr oces s control, e nha nce em ployee eval uation an d levels of effective communi cation to improve performance manageme nt. To further quantify and refine employee sta ndar ds .. . Work, full play party, a nd branch, a nd member s in "five type Enter prise" constr uction in t he of cor e role, a nd fighting fortres s role and pi oneer m odel r ole; to conti nue s to strengt heni ng "four good" leader shi p construction

34. (浙江省温州中学 2014 届高三 10 月月考数学(理)试题)已知函数 f ( x) ? ae ?
x

(1)当 a ? 1 时,求 f ( x ) 在点 (1, f (1)) 处的切线方程; (2)若对于任意的 x ? (0, ??) ,恒有 f ( x) ? 0 成立,求 a 的取值范围.
【答案】

a ?1 ? 2(a ? 1)(a ? 0) . x

ax2ex ? (a ? 1) a ?1 ? 2(a ? 1) ∴ f ' ( x) ? x x2 2 x ' x 令 g ( x) ? ax e ? (a ? 1) ,则 g ( x) ? ax(2 ? x)e ? 0 ∴ g ( x) 在 (0, ??) 上递增
(Ⅱ)∵ f ( x) ? a ? e x ? ∵ g (0) ? ?(a ? 1) ? 0 ,当 x ??? 时, g ( x) ? 0 ∴存在 x0 ? (0, ??) ,使 g ( x0 ) ? 0 , 且 f ( x) 在 (0, x0 ) 上递减 , f ( x) 在 ( x0 , ??) 上递增
a ?1 x0 2

∵ g ( x0 ) ? ax02 ex0 ? (a ? 1) ? 0 ∴ ax02 e x0 ? a ? 1 ,即 ae x0 ?

∵对于任意的 x ? (0, ??) ,恒有 f ( x) ? 0 成 立 a ?1 a ?1 a ?1 ? 2(a ? 1) ? 0 ∴ 2 ? ? 2(a ? 1) ? 0 ∴ f ( x)min ? f ( x0 ) ? a ? e x0 ? x0 x0 x0 ∴
1 1 1 ? ? 2 ? 0 ∴ 2 x02 ? x0 ? 1 ? 0 ∴ ? ? x0 ? 1 2 x0 x0 2

a ?1 ?1 a 令 h( x0 ) ? x02e x0 ,而 h(0) ? 0 ,当 x0 ? ?? 时 , h( x0 ) ? ?? ∴存在 m ? (0, ??) ,使 h(m) ? 1
∵ ax02 e x0 ? a ? 1 ∴ x02ex0 ? ∵ h( x0 ) ? x02e x0 在 (0, ??) 上递增 ∴ m ? x0 ? 1 ∵ h( x0 ) ? x02e x0 在 (m,1] 上递增 a ?1 1 ∴1 ? . ?e ∴a? a e ?1 ∴ h(m) ? h( x0 ) ? h(1) ,∴ x0 ? m

35 . (浙江省临海市杜桥中学 2014 届高三上学期第二次月考数学(理)试题) ( 本题满分 14 分 ) 已知函数

play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city a nd e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 平 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 more spirited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, t o create a gree n, low -cost operation, full of humane care of a worl d-class power ge neration company a nd w ork hard! T he occasi on of the Spri ng Festival, my sincere w ish t hat you a nd the families of the staff in the new yea r, good health, happy, happy!

To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight

We will continue to impr ove the compa ny's inter nal control sy stem, and steady improveme nt in a bility to manage a nd contr ol, o ptimize business proce sse s, to ensure sm oot h process es, res ponsi bilities i n pla ce; to furt her strengt hen i nternal contr ols, play a control post inde pendent ov ersight role of evaluation com plying wit h third -party res ponsi bility; to a ctively make use of internal a udit tools detect potential management, streamline, standardiz e related transacti ons, strengthe ning operati ons i n accor dance with law. D eepeni ng the information m anageme nt to ensure full communicati on "zero resistance". To constantly perfect ERP, and BFS++ , and PI, a nd M IS, and SCM, i nform ation sy stem base d construction, full integrati on informati on system, a chieve d information resource s share d; to expand Portal system a ppli cation of breadt h and de pth, play i nformation sy stem on e nterprise of As sistant rol e; to perfect daily r un mainte nance operation of records, promote problem reasons a nalysis a nd system handover; t o strengtheni ng BFS++, a nd ERP, and S CM, technology a ppli cation of training , improve employees a ppli cation information system of ca pacity a nd level. Humanisti c care to ens ure "zero." To strengtheni ng Humanities care , continues to foster compa ny wind clea r, and gas are, a nd heart Shun of culture atmos phere; strengt heni ng love helpe d trapped, care difficult em ployee s; carrie d out style activitie s, rich employe es life; strengt heni ng healt h and la bour prote ction, orga nization career health me dical, control care er against; continues to impl ementation psy chological warni ng preventi on sy stem, training employees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude, created friendly fraternity of Huma nities envir onme nt. To stre ngthe n risk manageme nt, ensure that t he business of "zero risk". To stre ngthe ned busi nes s pla ns manageme nt, will busi nes s busine ss pl ans cover to all l evel, ensure the busine ss can control i n c ontrol ; to cl ose concer n financial, a nd coal ele ctric li nkage, and energy-savi ng scheduling, nati onal poli cy trends, strengt heni ng track, active shoul d; to impleme ntation State-ow ne d assets met hod, further s pe cification busine ss fina ncial ma nagement; t o perfect risk t ube contr ol system, achieved ri sk recognition, and meas ure, and asse ssment, a nd re port, a nd contr ol feedback of close d ring management, impr ove risk preve ntion capa city. To further standardize trading, a nd strive to a chi eve "accordi ng to law, standardize a nd fair." Innovati on of performance management, t o ens ure that potential em ployee s "zero fly". To stre ngthe n perform ance manageme nt, pr oces s control, e nha nce em ployee eval uation and levels of effective communi cation to improve performance manageme nt. To further quantify and refine employee sta ndar ds .. . Work, full play party, a nd branch, a nd member s in "five type Enter prise" constr uction in t he of cor e role, a nd fighting fortres s role and pi oneer m odel r ole; to conti nue s to strengt heni ng "four good" leader shi p

constructi on

f ? x ? ? ln x .

(1)求函数 g ? x ? ? f ? x ? 1? ? x 的最大值; (2)若 ?x ? 0 ,不等式 f ? x ? ? ax ? x2 ? 1 恒成立,求实数 a 的取值范围; (3)若 x1 ? x2 ? 0 ,求证:
【答案】

f ? x1 ? ? f ? x2 ? x1 ? x2

?

2 x2 . 2 x ? x2
2 1

36. (浙江省温州市十校联合体 2014 届高三 10 月阶段性测试数学 (理) 试题) 已知函数

f ? x ? ? ?2 x ? 2 ?e ? x ( e

为自然对数的底数)

[来源:学科网 ZXXK]

(1)求函数 f ( x) 的单调区间;

play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , A nd maintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety m anagement, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism . 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 平 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 more spirited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, t o create a gree n, low -cost operation, full of humane care of a worl d-class power ge neration company a nd w ork hard! T he occasi on of the Spri ng Festival, my sincere w ish t hat you a nd the families of the staff in the new yea r, good health, happy,

To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration compani e s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight

happy!

We will continue to impr ove the compa ny's inter nal control sy stem, and steady improveme nt in a bility to manage a nd contr ol, optimize business proce sse s, to ensure sm oot h process es, res ponsi bilities i n pla ce; to furt her strengt hen i nternal contr ols, play a control post inde pendent ov ersight role of evaluation com plying wit h third -party res ponsi bility; to a ctively make use of internal a udit tools detect potential management, streamline, standardiz e related transacti ons, strengthe ning operati ons i n accor dance with law. D eepeni ng the information manageme nt to ensure full communicati on "zero resistance". To constantly perfect ERP, and BFS++ , and PI, a nd M IS, and SCM, i nformation sy stem base d construction, full integrati on informati on sy stem, a chieve d information resource s share d; to expand Portal system a ppli cation of breadt h and de pth, play i nformation sy stem on e nterprise of As sistant rol e; to perfect daily r un mainte nance operation of records, promote problem reasons a nalysis a nd syst em handover; t o strengtheni ng BFS++, a nd ERP, and S CM, technology a ppli cation of training , improve employees a ppli cation information system of ca pacity a nd level. Humanisti c care to ens ure "zero." To strengtheni ng Humanities care , continues to foster compa ny wind clea r, and gas are, a nd heart Shun of culture atmos phere; strengt heni ng love helpe d trapped, care difficult em ployee s; carrie d out style activitie s, rich employe es life; strengt heni ng healt h and la bour prote ction, orga nization career health me di cal, control care er against; continues to impl ementation psy chological warni ng preventi on sy stem, training employees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude, created friendly fraternity of Huma nities envir onme nt. To stre ngthe n risk manageme nt, ensure that t he business of "zero risk". To stre ngthe ned busi nes s pla ns manageme nt, will busi nes s busine ss pl ans cover to all l evel, ensure the busine ss can control i n control ; to cl ose concer n financial, a nd coal ele ctric li nkage, and energy-savi ng scheduling, nati onal poli cy trends, strengt heni ng track, active shoul d; to impleme ntation State-ow ne d assets met hod, further s pe cification busine ss fina ncial ma nagement; t o perfect risk t ube contr ol system, achieved ri sk recognition, and meas ure, and asse ssment, a nd re port, a nd contr ol feedback of close d ring management, impr ove risk preve ntion capa city. To further standardize trading, a nd strive to a chi eve "accordi ng to law, standardize a nd fair." Innovati on of performance management, t o ens ure that potential em ployee s "zero fly". To stre ngthe n performance manageme nt, pr oces s control, e nha nce em ployee eval uation an d levels of effective communi cation to improve performance manageme nt. To further quantify and refine employee sta ndar ds .. . Work, full play party, a nd branch, a nd member s in "five type Enter prise" constr uction in t he of cor e role, a nd fighting fortres s role and pi oneer m odel r ole; to conti nue s to strengt heni ng "four good" leader shi p construction

(2)设函数 ? ? x ? ?

1 1 xf ? x ? ? tf ?? x ? ? e ? x ,是否存在实数 x1 , x 2 ? ?0,1? ,使得 2? ? x1 ? ? ? ? x 2 ? ?若存在, 2 2

求出实数的取值范围;若不存在,请说明 理由.

x 2 ? ?1 ? t ?x ? 1 1 1 xf ? x ? ? tf ?? x ? ? e ? x ? 2 2 ex ? x 2 ? ?1 ? t ?x ? t ? ? x ? t ?? x ? 1? ? ? ? ?? x ? ? ex ex ① 当 t ? 1 时, g ?? x ? ? 0 , g ( x) 在 [0,1] 上单调递减 3?t e ∴ 2? ?1? ? ? ?0 ? 即 2 ? 1 ,得 t ? 3 ? ? 1 e 2 ② 当 t ? 0 时, g ?? x ? ? 0 , g ( x) 在 [0,1] 上单调递增 3?t ∴ 2? ?0 ? ? ? ?1? 即 2 ? ,得 t ? 3 ? 2e ? 0 e ③ 当 0 ? t ? 1 时, 在 x ? ?0, t ? , g ?? x ? ? 0 , g ( x) 在 ?0, t ? 上单调递减 在 x ? ?t ,1? , g ?? x ? ? 0 , g ( x) 在 ?t ,1? 上单调递增
? ? ?x ? ?

? 2x ? f ?? x ? 在 ?? ?,0 ? 上单调递增,在 ?0,?? ? 上单调递减. ex (Ⅱ)假设存在实数 x1 , x 2 ? ?0,1? ,使得 2? ? x1 ? ? ? ? x 2 ? ,则 2[? ? x ?] min ? [? ? x ?] max
【答案】解:(Ⅰ)? f ?? x ? ?

1 ? x) ? ax(a ? R) . 37. (浙江省嘉兴一中 2014 届高三上学期期中数学理试卷)已知函数 f ( x) ? ln(
(I)当 a ? 0 时,过点 P(?1,0) 作曲线 y ? f ( x) 的切线,求切线的方程;

? ? ? 的单 调性; (II)讨论函数 f ( x ) 在 ?0,
(III)当 0 ? y ? x ? 1 时,证明: ln x ? ln y ? ln(x ? y ) ? 1.
【答案】解:(1)当 a ? 0 时,过点 P(?1,0) 作曲线 y ? f ( x) 的切线,求切线的方程;

1 ? x) ,设切点 P( x0 , ln(1 ? x0 )) , 当 a ? 0 时, f ( x) ? ln(
1 ln(x0 ? 1) 1 ? ,∴ ,即 x0 ? e ? 1 , 1? x 1 ? x0 x0 ? 1 1 ∴切线的斜率 k ? ,切线的方程为 x ? ey ? 1 ? 0 ; e 1 1 ? ?0,1? ? a ,且当 x ? ?0, (2)∵ f ?( x ) ? ? ? ? 时有 1? x 1? x 1 ? a ? 0 在 ?0, ? ? ? 上恒成立,即 f ( x) 在 ?0, ? ? ? 上单调递增 ∴当 a ? 0 时, f ?( x ) ? 1? x
∵ f ?( x ) ?
play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city a nd e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 平 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 more spirited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, t o create a gree n, low -cost operation, full of humane care of a worl d-class power ge neration company a nd w ork hard! T he occasi on of the Spri ng Festival, my sincere w ish t hat you a nd the families of the staff in the new yea r, good health, happy, happy! To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight

We will continue to impr ove the compa ny's inter nal control sy stem, and steady improveme nt in a bility to manage a nd contr ol, o ptimize business proce sse s, to ensure sm oot h process es, res ponsi bilities i n pla ce; to furt her strengt hen i nternal contr ols, play a control post inde pendent ov ersight role of evaluation com plying wit h third -party res ponsi bility; to a ctively make use of internal a udit tools detect potential management, streamline, standardiz e related transacti ons, strengthe ning operati ons i n accor dance with law. D eepeni ng the information m anageme nt to ensure full communicati on "zero resistance". To constantly perfect ERP, and BFS++ , and PI, a nd M IS, and SCM, i nform ation sy stem base d construction, full integrati on informati on system, a chieve d information resource s share d; to expand Portal system a ppli cation of breadt h and de pth, play i nformation sy stem on e nterprise of As sistant rol e; to perfect daily r un mainte nance operation of records, promote problem reasons a nalysis a nd system handover; t o strengtheni ng BFS++, a nd ERP, and S CM, technology a ppli cation of training , improve employees a ppli cation information system of ca pacity a nd level. Humanisti c care to ens ure "zero." To strengtheni ng Humanities care , continues to foster compa ny wind clea r, and gas are, a nd heart Shun of culture atmos phere; strengt heni ng love helpe d trapped, care difficult em ployee s; carrie d out style activitie s, rich employe es life; strengt heni ng healt h and la bour prote ction, orga nization career health me dical, control care er against; continues to impl ementation psy chological warni ng preventi on sy stem, training employees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude, created friendly fraternity of Huma nities envir onme nt. To stre ngthe n risk manageme nt, ensure that t he business of "zero risk". To stre ngthe ned busi nes s pla ns manageme nt, will busi nes s busine ss pl ans cover to all l evel, ensure the busine ss can control i n c ontrol ; to cl ose concer n financial, a nd coal ele ctric li nkage, and energy-savi ng scheduling, nati onal poli cy trends, strengt heni ng track, active shoul d; to impleme ntation State-ow ne d assets met hod, further s pe cification busine ss fina ncial ma nagement; t o perfect risk t ube contr ol system, achieved ri sk recognition, and meas ure, and asse ssment, a nd re port, a nd contr ol feedback of close d ring management, impr ove risk preve ntion capa city. To further standardize trading, a nd strive to a chi eve "accordi ng to law, standardize a nd fair." Innovati on of performance management, t o ens ure that potential em ployee s "zero fly". To stre ngthe n perform ance manageme nt, pr oces s control, e nha nce em ployee eval uation and levels of effective communi cation to improve performance manageme nt. To further quantify and refine employee sta ndar ds .. . Work, full play party, a nd branch, a nd member s in "five type Enter prise" constr uction in t he of cor e role, a nd fighting fortres s role and pi oneer m odel r ole; to conti nue s to strengt heni ng "four good" leader shi p

constructi on

1 ? a ? 0 在 ?0, ? ? ? 上恒成立,即 f ( x) 在 ?0, ? ? ? 单调递减 1? x 1? a ? 1? a ? ,?? ) 上单调递减; 当 0 ? a ? 1 时, f ( x ) 在 ?0, ? 上单调递増,在 ( a a ? ? (3)当 0 ? a ? 1 时, f ( x ) 的最大值为 M (a) ? ? ln a ? a ? 1 a ?1 ? 0 在 (0,1) 上恒成立, ∵ M ?( a ) ? a ∴ M (a) ? ? ln a ? a ? 1 在 (0,1) 上单调递减,即 M (a) ? ? ln a ? a ? 1 ? 0 ∴ ? ln y ? y ? 1 ? ? ln x ? x ? 1 ,即 ln x ? ln y ? x ? y 同时 0 ? x ? y ? 1 ,有 M ( x ? y) ? ? ln(x ? y) ? ( x ? y) ? 1 ? 0 ,即 x ? y ? ln(x ? y) ? 1 ∴当 0 ? y ? x ? 1 时,有 ln x ? ln y ? ln(x ? y ) ? 1. 38 . (浙江省绍兴市第一中学 2014 届高三上学期期中考试数学(理)试题) 已知 a , b 是正实数 , 设函数 . f ( x) ? x ln x , g ( x )? ? a? x ln b (Ⅰ )设 h( x) ? f ( x) ? g ( x) ,求 h( x) 的单调区间; a ? b 3a ? b b , ] 且 f ( x0 ) ? g ( x0 ) 成立,求 的取值范围. (Ⅱ)若存在 x0 ,使 x0 ? [ 4 5 a 【答案】解:(1) h(x )=x ln x-x ln b+a, x ? (0,+?) ? h'(x )= ln x +1- ln b b b b +? )上单调递增 由 h'(x )>0 得 x > ,? h(x )在(0, )上 单调递减, 在( , e e e 3a +b a +b b ? (2)由 得 ?7 a 5 4 a +b b 3a +b e b 3e b b ? ? ? ? (i)当 ,即 时, h(x )min =h( )= - +a 4 e 5 4-e a 5-e e e b b 3e b 由 - +a ? 0 得 ? e ,? e ? ? e a a 5-e b a +b 4 -e b (ii)当 < 时, a > e 4 e a +b 3a +b ? h(x )在[ , ]上d 单调递增. 4 5 4-e 3? b-b a +b a +b a +b a +b b 3a-b 3-e e h(x )min =h( )= (ln -lnb)+a ? (ln -lnb)+a = > = b >0 4 4 4 4 e 4 4 e ?不成立 b 3e 5-e b 3a +b b (iii)当 > ,即 > 时, a < a 5-e 3e e 5 a +b 3a +b ? h(x )在[ , ]上d 单调递减. 4 5 5-e 2? b-b 3a +b 3a +b 3a +b 3a +b b 2a-b 2-e h(x )min =h( )= (ln -lnb)+a < (ln -lnb)+a = < 3e = b<0 5 5 5 5 e 5 5 3e b 3e 时恒成立 ?当 > a 5-e b 综上所述, e ? <7 a 3a +b a +b b ? 解法二:由 得 ? 7. a 5 4
当 a ? 1 时, f ?( x ) ?
play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , A nd maintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety m anagement, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism . 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 平 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 more spirited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, t o create a gree n, low -cost operation, full of humane care of a worl d-class power ge neration company a nd w ork hard! T he occasi on of the Spri ng Festival, my sincere w ish t hat you a nd the families of the staff in the new yea r, good health, happy, To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration compani e s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight happy!

We will continue to impr ove the compa ny's inter nal control sy stem, and steady improveme nt in a bility to manage a nd contr ol, optimize business proce sse s, to ensure sm oot h process es, res ponsi bilities i n pla ce; to furt her strengt hen i nternal contr ols, play a control post inde pendent ov ersight role of evaluation com plying wit h third -party res ponsi bility; to a ctively make use of internal a udit tools detect potential management, streamline, standardiz e related transacti ons, strengthe ning operati ons i n accor dance with law. D eepeni ng the information manageme nt to ensure full communicati on "zero resistance". To constantly perfect ERP, and BFS++ , and PI, a nd M IS, and SCM, i nformation sy stem base d construction, full integrati on informati on sy stem, a chieve d information resource s share d; to expand Portal system a ppli cation of breadt h and de pth, play i nformation sy stem on e nterprise of As sistant rol e; to perfect daily r un mainte nance operation of records, promote problem reasons a nalysis a nd syst em handover; t o strengtheni ng BFS++, a nd ERP, and S CM, technology a ppli cation of training , improve employees a ppli cation information system of ca pacity a nd level. Humanisti c care to ens ure "zero." To strengtheni ng Humanities care , continues to foster compa ny wind clea r, and gas are, a nd heart Shun of culture atmos phere; strengt heni ng love helpe d trapped, care difficult em ployee s; carrie d out style activitie s, rich employe es life; strengt heni ng healt h and la bour prote ction, orga nization career health me di cal, control care er against; continues to impl ementation psy chological warni ng preventi on sy stem, training employees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude, created friendly fraternity of Huma nities envir onme nt. To stre ngthe n risk manageme nt, ensure that t he business of "zero risk". To stre ngthe ned busi nes s pla ns manageme nt, will busi nes s busine ss pl ans cover to all l evel, ensure the busine ss can control i n control ; to cl ose concer n financial, a nd coal ele ctric li nkage, and energy-savi ng scheduling, nati onal poli cy trends, strengt heni ng track, active shoul d; to impleme ntation State-ow ne d assets met hod, further s pe cification busine ss fina ncial ma nagement; t o perfect risk t ube contr ol system, achieved ri sk recognition, and meas ure, and asse ssment, a nd re port, a nd contr ol feedback of close d ring management, impr ove risk preve ntion capa city. To further standardize trading, a nd strive to a chi eve "accordi ng to law, standardize a nd fair." Innovati on of performance management, t o ens ure that potential em ployee s "zero fly". To stre ngthe n performance manageme nt, pr oces s control, e nha nce em ployee eval uation an d levels of effective communi cation to improve performance manageme nt. To further quantify and refine employee sta ndar ds .. . Work, full play party, a nd branch, a nd member s in "five type Enter prise" constr uction in t he of cor e role, a nd fighting fortres s role and pi oneer m odel r ole; to conti nue s to strengt heni ng "four good" leader shi p construction

?a b ?a b ? ? ?4 ? ? ?4 x0 x0 ? x0 x0 ? 3a ? b ?a ? b ? 3a b ? 3a b ? x0 ? 由? ?? ? ?5?? 5 ? 4 ? ? ?5 x0 x0 ? ? ? x0 x0 x ln x ? ? a ? x ln b 0 0 ? 0 a ? b ? a ?ln ? ? b ? e x0 ? x0 x0 ? ? x0



b y a b ? x, ? y, 则 ? ,题目转化为: a x x0 x0

?3 x ? y ? 5 ?x ? y ? 4 y ? 已知 x ,求 的取值范围. ,y 满足 ? x x ?y ? e ? x > 0,y > 0 ? 作出( x ,y )所在平面区域(如图).求出 y =e x 的过原点的切线.
设过切点 P ? x0,y0 ? 的切线为 y ? ex0 ? e x0 ( x ? x0 ) , 因为过原点,故有 ?ex0 ? ? x0e x0 , 即 x0 ? 1, P(1, e) , ∴

y 的最小值在 P ? x0,y0 ? 处,为 e .此时,点 P(1, e) 在 y =e x 上 A, B 之间. x

1 ? x? 1 7 ? 2 ,即 C ( , ) 当( x ,y )对应点 C 时,由 ? y ? 4 ? x ? ? ? ? 2 2 ? y ? 5 ? 3x ? y ? 7 ? ? 2

y 的最大值在 C 处,为 7. x y b ∴ 的取值范围为 ? e, 7? ,即 的取值范围是 ? e,7 ? a x


39 . (浙江省嘉兴市 2014 届高三 9 月月考数学理试题) 已知函数

曲线 y=f(x)在点

P(0,f(0))处的切线是 l:2x-y+3=0. (I)求 b,c 的值; (II)若 f(x)在(0,+ ? )上单调递增,求 a 的取值范围.
【答案】

play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city a nd e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 平 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 more spirited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, t o create a gree n, low -cost operation, full of humane care of a worl d-class power ge neration company a nd w ork hard! T he occasi on of the Spri ng Festival, my sincere w ish t hat you a nd the families of the staff in the new yea r, good health, happy, happy!

To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight

We will continue to impr ove the compa ny's inter nal control sy stem, and steady improveme nt in a bility to manage a nd contr ol, o ptimize business proce sse s, to ensure sm oot h process es, res ponsi bilities i n pla ce; to furt her strengt hen i nternal contr ols, play a control post inde pendent ov ersight role of evaluation com plying wit h third -party res ponsi bility; to a ctively make use of internal a udit tools detect potential management, streamline, standardiz e related transacti ons, strengthe ning operati ons i n accor dance with law. D eepeni ng the information m anageme nt to ensure full communicati on "zero resistance". To constantly perfect ERP, and BFS++ , and PI, a nd M IS, and SCM, i nform ation sy stem base d construction, full integrati on informati on system, a chieve d information resource s share d; to expand Portal system a ppli cation of breadt h and de pth, play i nformation sy stem on e nterprise of As sistant rol e; to perfect daily r un mainte nance operation of records, promote problem reasons a nalysis a nd system handover; t o strengtheni ng BFS++, a nd ERP, and S CM, technology a ppli cation of training , improve employees a ppli cation information system of ca pacity a nd level. Humanisti c care to ens ure "zero." To strengtheni ng Humanities care , continues to foster compa ny wind clea r, and gas are, a nd heart Shun of culture atmos phere; strengt heni ng love helpe d trapped, care difficult em ployee s; carrie d out style activitie s, rich employe es life; strengt heni ng healt h and la bour prote ction, orga nization career health me dical, control care er against; continues to impl ementation psy chological warni ng preventi on sy stem, training employees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude, created friendly fraternity of Huma nities envir onme nt. To stre ngthe n risk manageme nt, ensure that t he business of "zero risk". To stre ngthe ned busi nes s pla ns manageme nt, will busi nes s busine ss pl ans cover to all l evel, ensure the busine ss can control i n c ontrol ; to cl ose concer n financial, a nd coal ele ctric li nkage, and energy-savi ng scheduling, nati onal poli cy trends, strengt heni ng track, active shoul d; to impleme ntation State-ow ne d assets met hod, further s pe cification busine ss fina ncial ma nagement; t o perfect risk t ube contr ol system, achieved ri sk recognition, and meas ure, and asse ssment, a nd re port, a nd contr ol feedback of close d ring management, impr ove risk preve ntion capa city. To further standardize trading, a nd strive to a chi eve "accordi ng to law, standardize a nd fair." Innovati on of performance management, t o ens ure that potential em ployee s "zero fly". To stre ngthe n perform ance manageme nt, pr oces s control, e nha nce em ployee eval uation and levels of effective communi cation to improve performance manageme nt. To further quantify and refine employee sta ndar ds .. . Work, full play party, a nd branch, a nd member s in "five type Enter prise" constr uction in t he of cor e role, a nd fighting fortres s role and pi oneer m odel r ole; to conti nue s to strengt heni ng "four good" leader shi p

constructi on

40. (浙江省温州市平阳中学 2014 届高三 10 月月考数学 (理) 试题) 已知

f ( x) ? 2x ln x, g ( x) ? ? x2 ? ax ? 3 .

(Ⅰ) 求函数 f ( x ) 的最小值; (Ⅱ)若存在 x ? (0, ??) ,使 f ( x) ? g ( x) 成立,求实数 a 的取值范围; (Ⅲ)证明对一切 x ? (0, ??) ,都有 f ( x) ? 2(
【答案】

x 2 ? ) 成立. ex e

[来源:Z+xx+k.Com]

play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , A nd maintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety m anagement, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism . 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 平 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 more spirited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, t o create a gree n, low -cost operation, full of humane care of a worl d-class power ge neration company a nd w ork hard! T he occasi on of the Spri ng Festival, my sincere w ish t hat you a nd the families of the staff in the new yea r, good health, happy,

To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration compani e s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight

happy!

We will continue to impr ove the compa ny's inter nal control sy stem, and steady improveme nt in a bility to manage a nd contr ol, optimize business proce sse s, to ensure sm oot h process es, res ponsi bilities i n pla ce; to furt her strengt hen i nternal contr ols, play a control post inde pendent ov ersight role of evaluation com plying wit h third -party res ponsi bility; to a ctively make use of internal a udit tools detect potential management, streamline, standardiz e related transacti ons, strengthe ning operati ons i n accor dance with law. D eepeni ng the information manageme nt to ensure full communicati on "zero resistance". To constantly perfect ERP, and BFS++ , and PI, a nd M IS, and SCM, i nformation sy stem base d construction, full integrati on informati on sy stem, a chieve d information resource s share d; to expand Portal system a ppli cation of breadt h and de pth, play i nformation sy stem on e nterprise of As sistant rol e; to perfect daily r un mainte nance operation of records, promote problem reasons a nalysis a nd syst em handover; t o strengtheni ng BFS++, a nd ERP, and S CM, technology a ppli cation of training , improve employees a ppli cation information system of ca pacity a nd level. Humanisti c care to ens ure "zero." To strengtheni ng Humanities care , continues to foster compa ny wind clea r, and gas are, a nd heart Shun of culture atmos phere; strengt heni ng love helpe d trapped, care difficult em ployee s; carrie d out style activitie s, rich employe es life; strengt heni ng healt h and la bour prote ction, orga nization career health me di cal, control care er against; continues to impl ementation psy chological warni ng preventi on sy stem, training employees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude, created friendly fraternity of Huma nities envir onme nt. To stre ngthe n risk manageme nt, ensure that t he business of "zero risk". To stre ngthe ned busi nes s pla ns manageme nt, will busi nes s busine ss pl ans cover to all l evel, ensure the busine ss can control i n control ; to cl ose concer n financial, a nd coal ele ctric li nkage, and energy-savi ng scheduling, nati onal poli cy trends, strengt heni ng track, active shoul d; to impleme ntation State-ow ne d assets met hod, further s pe cification busine ss fina ncial ma nagement; t o perfect risk t ube contr ol system, achieved ri sk recognition, and meas ure, and asse ssment, a nd re port, a nd contr ol feedback of close d ring management, impr ove risk preve ntion capa city. To further standardize trading, a nd strive to a chi eve "accordi ng to law, standardize a nd fair." Innovati on of performance management, t o ens ure that potential em ployee s "zero fly". To stre ngthe n performance manageme nt, pr oces s control, e nha nce em ployee eval uation an d levels of effective communi cation to improve performance manageme nt. To further quantify and refine employee sta ndar ds .. . Work, full play party, a nd branch, a nd member s in "five type Enter prise" constr uction in t he of cor e role, a nd fighting fortres s role and pi oneer m odel r ole; to conti nue s to strengt heni ng "four good" leader shi p construction

41. (浙江省 2014 届金华一中高三 9 月月考数学试卷(理) )已知函数 f ? x ? ? x x ? a ? ln x , a ? R .

(Ⅰ)若 a ? 2 ,求函数 f ? x ? 在区间 ?1, e? 上的最值;

(Ⅱ)若 f ? x ? ? 0 恒成立,求 a 的取值范围. (注: e 是自然对数的底数)

e] 时, f ? x ? ? x2 ? 2x ? ln x , 【答案】解:(1) 若 a ? 2 ,则 f ( x) ? x x ? 2 ? ln x .当 x ? [2 ,
2 e? 上单调递增; f ? ? x ? ? 2 x ? 2 ? 1 ? 2 x ? 2 x ? 1 ? 0 , 所以函数 f ? x ? 在 ? 2 , x x 2 当 x ??1, 2? 时, f ? x ? ? ?x2 ? 2x ? ln x , f ? ? x ? ? ?2 x ? 2 ? 1 ? ?2 x ? 2 x ? 1 ? 0 . x x 所以函数 f ? x ? 在区间 ?1, 2? 上单调递减 , 所以 f ? x ? 在区间 [1,e] 上有最小值 f ? 2? ? ? ln 2 , 又因为

f ? e ? ? e ? e ? 2? ? 1 ,而 e ? e ? 2? ? 1 ? 1 ,所以 f ? x ? 在区间 ?1, e? 上有最大值 f ?1? ? 1 . (2) 函数 f ? x ? 的定义域为 ? 0 , (*) ? ? ? . 由 f ? x ? ? 0 ,得 x ? a ? ln x . x (ⅰ)当 x ? ? 0 , 1? 时, x ? a ? 0 , ln x ? 0 ,不等式(*)恒成立,所以 a ? R ; x (ⅱ)当 x ? 1 时, ①当 a ? 1 时,由 x ? a ? ln x 得 x ? a ? ln x ,即 a ? x ? ln x , x x x 2 ? ln x ,因为 x ? 1 ,所以 h? ? x ? ? 0 ,故 h ? x ? 在 ?1, 现令 h ? x ? ? x ? ln x , 则 h?( x) ? x ? 12 ? ? ? 上单调递增, x x 从而 h ? x ? 的最小值为 1 ,因为 a ? x ? ln x 恒成立等价于 a ? h ? x ?min ,所以 a ? 1 ; x ②当 a ? 1 时, x ? a 的最小值为 0 ,而 ln x ? 0 ? x ? 1? ,显然不满足题意. x 综上可得,满足条件的 a 的取值范围是 ? ?? , 1? .
42 .( 浙 江 省 建 人 高 复 2014 届 高 三 上 学 期 第 一 次 月 考 数 学 ( 理 ) 试 题 ) 设 函 数

f ?1? ? 1 ,

f (x)= ? x 3 ? 2mx2 ? m 2 x ? 1 ? m (其中 m > - 2)的图像在 x=2 处的切线与直线 y= -5x+12 平行;
(Ⅰ)求 m 的值与该切线方程; (Ⅱ)若对任意的 x1 , x2 ? ?0,1?, f ?x1 ? ? f ?x2 ? ? M 恒成立,则求 M 的最小值; (Ⅲ)若 a ? 0, b ? 0, c ? 0 且 a+b+c=1,试证明:
more spirited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, t o create a gree n, low -cost operation, full of humane care of a worl d-class power ge neration company a nd w ork hard! T he occasi on of the Spri ng Festival, my sincere w ish t hat you a nd the families of the staff in the new yea r, good health, happy, happy!

a b c 9 ? ? ? 2 2 2 10 1? a 1? b 1? c
To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight

play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city a nd e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 平 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利

We will continue to impr ove the compa ny's inter nal control sy stem, and steady improveme nt in a bility to manage a nd contr ol, o ptimize business proce sse s, to ensure sm oot h process es, res ponsi bilities i n pla ce; to furt her strengt hen i nternal contr ols, play a control post inde pendent ov ersight role of evaluation com plying wit h third -party res ponsi bility; to a ctively make use of internal a udit tools detect potential management, streamline, standardiz e related transacti ons, strengthe ning operati ons i n accor dance with law. D eepeni ng the information m anageme nt to ensure full communicati on "zero resistance". To constantly perfect ERP, and BFS++ , and PI, a nd M IS, and SCM, i nform ation sy stem base d construction, full integrati on informati on system, a chieve d information resource s share d; to expand Portal system a ppli cation of breadt h and de pth, play i nformation sy stem on e nterprise of As sistant rol e; to perfect daily r un mainte nance operation of records, promote problem reasons a nalysis a nd system handover; t o strengtheni ng BFS++, a nd ERP, and S CM, technology a ppli cation of training , improve employees a ppli cation information system of ca pacity a nd level. Humanisti c care to ens ure "zero." To strengtheni ng Humanities care , continues to foster compa ny wind clea r, and gas are, a nd heart Shun of culture atmos phere; strengt heni ng love helpe d trapped, care difficult em ployee s; carrie d out style activitie s, rich employe es life; strengt heni ng healt h and la bour prote ction, orga nization career health me dical, control care er against; continues to impl ementation psy chological warni ng preventi on sy stem, training employees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude, created friendly fraternity of Huma nities envir onme nt. To stre ngthe n risk manageme nt, ensure that t he business of "zero risk". To stre ngthe ned busi nes s pla ns manageme nt, will busi nes s busine ss pl ans cover to all l evel, ensure the busine ss can control i n c ontrol ; to cl ose concer n financial, a nd coal ele ctric li nkage, and energy-savi ng scheduling, nati onal poli cy trends, strengt heni ng track, active shoul d; to impleme ntation State-ow ne d assets met hod, further s pe cification busine ss fina ncial ma nagement; t o perfect risk t ube contr ol system, achieved ri sk recognition, and meas ure, and asse ssment, a nd re port, a nd contr ol feedback of close d ring management, impr ove risk preve ntion capa city. To further standardize trading, a nd strive to a chi eve "accordi ng to law, standardize a nd fair." Innovati on of performance management, t o ens ure that potential em ployee s "zero fly". To stre ngthe n perform ance manageme nt, pr oces s control, e nha nce em ployee eval uation and levels of effective communi cation to improve performance manageme nt. To further quantify and refine employee sta ndar ds .. . Work, full play party, a nd branch, a nd member s in "five type Enter prise" constr uction in t he of cor e role, a nd fighting fortres s role and pi oneer m odel r ole; to conti nue s to strengt heni ng "four good" leader shi p

constructi on

【答案】解:(Ⅰ)m= ? 1 ,

y= ? 5 x+10 (过程略);

4 (过程略); 27 (Ⅲ)? f ?x? ? ? x 3 ? 2x 2 ? x ? 2 ? 1 ? x 2 ?2 ? x?
(Ⅱ)M min =

?

?

由上知,当x ? ?0,1?时, 1 ? x 2 ?2 ? x ? ? ?

?

?

27 , 50

1 27 ?2 ? x ? ? 2 50 1? x x 27 1 ? ? 2 x ? x 2 (当x ? 时取等号) 50 3 1? x2

? ?

? ?

?

?

当a ? 0, b ? 0, c ? 0; a ? b ? c ? 1时,0 ? a ? 1,0 ? b ? 1,0 ? c ? 1 a b c 27 27 ? ? ? 2?a ? b ? c ? ? a 2 ? b 2 ? c 2 ? 2 ? a2 ? b2 ? c2 , 2 2 2 50 50 1? a 1? b 1? c 1 又 ? a 2 ? b 2 ? c 2 ? (可证明) , 3 a b c 27 ? 1? 9 1 ? ? ? ? ? 2 ? ? ? (当且仅当a ? b ? c ? 时取等号) 3 ? 10 3 1 ? a 2 1 ? b 2 1 ? c 2 50 ? 若运用不等式知识证明出也给满分 ?

?

?

??

? ?

??

?

?

43. (浙江省温州市 2014 届高三上学期八校联考数学(理)试题)设函数

f ( x) ? x ?1e x 的定义域为(0, ? ? ).

( Ⅰ)求函数 f ( x) 在 [m, m ? 1](m ? 0) 上的最小值; (Ⅱ)设函数 g ( x) ?
【答案】解:(Ⅰ)

1 ,如 果 x1 ? x 2 ,且 g ( x1 ) ? g ( x2 ) ,证明: x1 ? x2 ? 2 . f ( x)

xe x ? e x ' ' ,则 x ? 1 时, f ( x) ? 0 ; 0 ? x ? 1 时, f ( x) ? 0 . x2 所以,函数 f ( x) 在(0,1 )上是减函数,在(1,+ ? )上是增函数 当 m ? 1 时,函数 f ( x) 在[m,m+1]上是增函数, f ' ( x) ? em ; m 当 0 ? m ? 1 时,函数 f ( x) 在[m, 1]上是减函数,在[1,m+1]上是增函数, 此时 f ( x) min ? f (1) ? e ;
此时 f ( x) min ? f (m) ? (Ⅱ)证明:考察函数 g ( x) ? xe , g ( x) ? (1 ? x)e 所以 g(x)在( ??,1 )内是增函数,在( 1, ?? )内是减函数.(结论 1)
' ?x ?x

考察函数 F(x)=g(x)-g(2-x),即 F ( x) ? xe 于是 F '( x) ? ( x ?1)(e
2 x ?2

?x

? ( x ? 2)e x?2

?1)e? x 2x-2 当 x>1 时,2x-2>0,从而 e ?1 ? 0, 又e? x ? 0, 所以F ' (x)>0,
从而函数 F(x)在[1,+∞)是增函数. 又 F(1)= e ? e ? 0,所以x>1时,有 F(x)>F(1)=0,即 g(x)>g(2- x). (结论 2)
-1 -1

若 ( x1 ? 1)(x2 ? 1) ? 0 ,由结论 1 及 g ( x1 ) ? g ( x2 ) ,得 x1 ? x2 ? 1 ,与 x1 ? x 2 矛盾; 若 ( x1 ? 1)(x2 ? 1) ? 0 ,由结论 1 及 g ( x1 ) ? g ( x2 ) ,得 x1 ? x 2 ,与 x1 ? x 2 矛盾; 若 ( x1 ? 1)(x2 ? 1) ? 0, 不妨设 x1 ? 1, x2 ? 1 由结论 2 可知,g( x2 )>g(2- x2 ),所以

g ( x1 ) ? g ( x2 ) >g(2- x2 ).

因为 x2 ? 1 ,所以 2 ? x2 ? 1,又由结论 1 可知函数 g(x)在区间(-∞,1)内是增函数,所以 x1 > 2 ? x2 ,即

x1 ? x2 >2
44.(浙江省平阳县第三中学 2014 届高三上学期第一次月考数学(理)试题)已知函数
play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , A nd maintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety m anagement, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism . 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 平 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 more spirited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, t o create a gree n, low -cost operation, full of humane care of a worl d-class power ge neration company a nd w ork hard! T he occasi on of the Spri ng Festival, my sincere w ish t hat you a nd the families of the staff in the new yea r, good health, happy, To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration compani e s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight

happy!

We will continue to impr ove the compa ny's inter nal control sy stem, and steady improveme nt in a bility to manage a nd contr ol, optimize business proce sse s, to ensure sm oot h process es, res ponsi bilities i n pla ce; to furt her strengt hen i nternal contr ols, play a control post inde pendent ov ersight role of evaluation com plying wit h third -party res ponsi bility; to a ctively make use of internal a udit tools detect potential management, streamline, standardiz e related transacti ons, strengthe ning operati ons i n accor dance with law. D eepeni ng the information manageme nt to ensure full communicati on "zero resistance". To constantly perfect ERP, and BFS++ , and PI, a nd M IS, and SCM, i nformation sy stem base d construction, full integrati on informati on sy stem, a chieve d information resource s share d; to expand Portal system a ppli cation of breadt h and de pth, play i nformation sy stem on e nterprise of As sistant rol e; to perfect daily r un mainte nance operation of records, promote problem reasons a nalysis a nd syst em handover; t o strengtheni ng BFS++, a nd ERP, and S CM, technology a ppli cation of training , improve employees a ppli cation information system of ca pacity a nd level. Humanisti c care to ens ure "zero." To strengtheni ng Humanities care , continues to foster compa ny wind clea r, and gas are, a nd heart Shun of culture atmos phere; strengt heni ng love helpe d trapped, care difficult em ployee s; carrie d out style activitie s, rich employe es life; strengt heni ng healt h and la bour prote ction, orga nization career health me di cal, control care er against; continues to impl ementation psy chological warni ng preventi on sy stem, training employees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude, created friendly fraternity of Huma nities envir onme nt. To stre ngthe n risk manageme nt, ensure that t he business of "zero risk". To stre ngthe ned busi nes s pla ns manageme nt, will busi nes s busine ss pl ans cover to all l evel, ensure the busine ss can control i n control ; to cl ose concer n financial, a nd coal ele ctric li nkage, and energy-savi ng scheduling, nati onal poli cy trends, strengt heni ng track, active shoul d; to impleme ntation State-ow ne d assets met hod, further s pe cification busine ss fina ncial ma nagement; t o perfect risk t ube contr ol system, achieved ri sk recognition, and meas ure, and asse ssment, a nd re port, a nd contr ol feedback of close d ring management, impr ove risk preve ntion capa city. To further standardize trading, a nd strive to a chi eve "accordi ng to law, standardize a nd fair." Innovati on of performance management, t o ens ure that potential em ployee s "zero fly". To stre ngthe n performance manageme nt, pr oces s control, e nha nce em ployee eval uation an d levels of effective communi cation to improve performance manageme nt. To further quantify and refine employee sta ndar ds .. . Work, full play party, a nd branch, a nd member s in "five type Enter prise" constr uction in t he of cor e role, a nd fighting fortres s role and pi oneer m odel r ole; to conti nue s to strengt heni ng "four good" leader shi p construction

f ? x ? ? ax3 ? bx2 ? c ? a, b, c ? R, a ? 0? 的图象过点 P ? ?1, 2? ,且在点 P 处的切
线与直线 x ? 3 y ? 0 垂直. (1) 若 c ??0,1? ,试求函数 f ? x ? 的单调区间; (2)
【答案】

若 a ? 0, b ? 0 且 ? ??, m? , ? n, ??? 是 f ? x ? 的单调递增区间,试求 n ? m ? 2c 的范围.

play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city a nd e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 平 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 more spirited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, t o create a gree n, low -cost operation, full of humane care of a worl d-class power ge neration company a nd w ork hard! T he occasi on of the Spri ng Festival, my sincere w ish t hat you a nd the families of the staff in the new yea r, good health, happy, happy!

To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight

We will continue to impr ove the compa ny's inter nal control sy stem, and steady improveme nt in a bility to manage a nd contr ol, o ptimize business proce sse s, to ensure sm oot h process es, res ponsi bilities i n pla ce; to furt her strengt hen i nternal contr ols, play a control post inde pendent ov ersight role of evaluation com plying wit h third -party res ponsi bility; to a ctively make use of internal a udit tools detect potential management, streamline, standardiz e related transacti ons, strengthe ning operati ons i n accor dance with law. D eepeni ng the information m anageme nt to ensure full communicati on "zero resistance". To constantly perfect ERP, and BFS++ , and PI, a nd M IS, and SCM, i nform ation sy stem base d construction, full integrati on informati on system, a chieve d information resource s share d; to expand Portal system a ppli cation of breadt h and de pth, play i nformation sy stem on e nterprise of As sistant rol e; to perfect daily r un mainte nance operation of records, promote problem reasons a nalysis a nd system handover; t o strengtheni ng BFS++, a nd ERP, and S CM, technology a ppli cation of training , improve employees a ppli cation information system of ca pacity a nd level. Humanisti c care to ens ure "zero." To strengtheni ng Humanities care , continues to foster compa ny wind clea r, and gas are, a nd heart Shun of culture atmos phere; strengt heni ng love helpe d trapped, care difficult em ployee s; carrie d out style activitie s, rich employe es life; strengt heni ng healt h and la bour prote ction, orga nization career health me dical, control care er against; continues to impl ementation psy chological warni ng preventi on sy stem, training employees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude, created friendly fraternity of Huma nities envir onme nt. To stre ngthe n risk manageme nt, ensure that t he business of "zero risk". To stre ngthe ned busi nes s pla ns manageme nt, will busi nes s busine ss pl ans cover to all l evel, ensure the busine ss can control i n c ontrol ; to cl ose concer n financial, a nd coal ele ctric li nkage, and energy-savi ng scheduling, nati onal poli cy trends, strengt heni ng track, active shoul d; to impleme ntation State-ow ne d assets met hod, further s pe cification busine ss fina ncial ma nagement; t o perfect risk t ube contr ol system, achieved ri sk recognition, and meas ure, and asse ssment, a nd re port, a nd contr ol feedback of close d ring management, impr ove risk preve ntion capa city. To further standardize trading, a nd strive to a chi eve "accordi ng to law, standardize a nd fair." Innovati on of performance management, t o ens ure that potential em ployee s "zero fly". To stre ngthe n perform ance manageme nt, pr oces s control, e nha nce em ployee eval uation and levels of effective communi cation to improve performance manageme nt. To further quantify and refine employee sta ndar ds .. . Work, full play party, a nd branch, a nd member s in "five type Enter prise" constr uction in t he of cor e role, a nd fighting fortres s role and pi oneer m odel r ole; to conti nue s to strengt heni ng "four good" leader shi p

constructi on

45. (浙江省东阳中学 2014 届高三 10 月月考数学(理)试题)已知函数 f ( x) ? ln x ?

a ( x ? 1) . x ?1

(1)若函数 f ( x)在(0, ??) 上为单调增函数,求 a 的取值范围;

m?n m?n ? . ln m ? ln n 2 1 a( x ? 1) ? a( x ? 1) 【答案】解:(I) f ?( x) ? ? x ( x ? 1)2
? (2)设 m, n ? R , 且m ? n, 求证 :

( x ? 1)2 ? 2ax x 2 ? (2 ? 2a) x ? 1 ? . x( x ? 1)2 x( x ? 1)2 因为 f ( x)在(0, ??) 上为单调增函数, 所以 f ?( x) ? 0在(0, ??) 上恒成立. 即x 2 ? (2 ? 2a) x ? 1 ? 0在(0, ??)上恒成立. ?
当x ? (0, ??)时,由x 2 ? (2 ? 2a) x ? 1 ? 0, 1 得2a ? 2 ? x ? . x 1 设g ( x) ? x ? , x ? (0, ??). x 1 1 ? 2 x ? ? 2. x x 1 所以当且仅当x ? ,即x ? 1时, g ( x)有最小值2. x 所以2a ? 2 ? 2. 所以 a 的取值范围是 (??, 2]. 所以a ? 2. m?n m?n 要证 ? , ln m ? ln n 2 m m ?1 ?1 n n 只需证 ? , m 2 ln n m m 2( ? 1) 2( ? 1) m m n 即证 ln ? . 只需证 ln ? n ? 0. m m n n ?1 ?1 n n 2( x ? 1) 设h( x) ? ln x ? . x ?1 g ( x) ? x ?

play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , A nd maintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety m anagement, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism . 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 平 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 more spirited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, t o create a gree n, low -cost operation, full of humane care of a worl d-class power ge neration company a nd w ork hard! T he occasi on of the Spri ng Festival, my sincere w ish t hat you a nd the families of the staff in the new yea r, good health, happy,

To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration compani e s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight

happy!

We will continue to impr ove the compa ny's inter nal control sy stem, and steady improveme nt in a bility to manage a nd contr ol, optimize business proce sse s, to ensure sm oot h process es, res ponsi bilities i n pla ce; to furt her strengt hen i nternal contr ols, play a control post inde pendent ov ersight role of evaluation com plying wit h third -party res ponsi bility; to a ctively make use of internal a udit tools detect potential management, streamline, standardiz e related transacti ons, strengthe ning operati ons i n accor dance with law. D eepeni ng the information manageme nt to ensure full communicati on "zero resistance". To constantly perfect ERP, and BFS++ , and PI, a nd M IS, and SCM, i nformation sy stem base d construction, full integrati on informati on sy stem, a chieve d information resource s share d; to expand Portal system a ppli cation of breadt h and de pth, play i nformation sy stem on e nterprise of As sistant rol e; to perfect daily r un mainte nance operation of records, promote problem reasons a nalysis a nd syst em handover; t o strengtheni ng BFS++, a nd ERP, and S CM, technology a ppli cation of training , improve employees a ppli cation information system of ca pacity a nd level. Humanisti c care to ens ure "zero." To strengtheni ng Humanities care , continues to foster compa ny wind clea r, and gas are, a nd heart Shun of culture atmos phere; strengt heni ng love helpe d trapped, care difficult em ployee s; carrie d out style activitie s, rich employe es life; strengt heni ng healt h and la bour prote ction, orga nization career health me di cal, control care er against; continues to impl ementation psy chological warni ng preventi on sy stem, training employees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude, created friendly fraternity of Huma nities envir onme nt. To stre ngthe n risk manageme nt, ensure that t he business of "zero risk". To stre ngthe ned busi nes s pla ns manageme nt, will busi nes s busine ss pl ans cover to all l evel, ensure the busine ss can control i n control ; to cl ose concer n financial, a nd coal ele ctric li nkage, and energy-savi ng scheduling, nati onal poli cy trends, strengt heni ng track, active shoul d; to impleme ntation State-ow ne d assets met hod, further s pe cification busine ss fina ncial ma nagement; t o perfect risk t ube contr ol system, achieved ri sk recognition, and meas ure, and asse ssment, a nd re port, a nd contr ol feedback of close d ring management, impr ove risk preve ntion capa city. To further standardize trading, a nd strive to a chi eve "accordi ng to law, standardize a nd fair." Innovati on of performance management, t o ens ure that potential em ployee s "zero fly". To stre ngthe n performance manageme nt, pr oces s control, e nha nce em ployee eval uation an d levels of effective communi cation to improve performance manageme nt. To further quantify and refine employee sta ndar ds .. . Work, full play party, a nd branch, a nd member s in "five type Enter prise" constr uction in t he of cor e role, a nd fighting fortres s role and pi oneer m odel r ole; to conti nue s to strengt heni ng "four good" leader shi p construction

46. (浙江省金华一中 2014 届高三 10 月月考数学(理)试卷)已知函数 f ? x ? ? x2 ? 2x ? a ln x , a ? R .

(Ⅰ) 当 a ? ?4 时,求 f ( x ) 的极值;; (Ⅱ) 若 f ? x ? 在区间 (0,1) 上无极值点,求 a 的取值范围; (Ⅲ)若对任意 t ? 1 ,有 f (2t ? 1) ? 2 f (t ) ? 3 ,求 a 的取值范围;
【答案】
[来源:Zxxk.Com]

a a ? 0 对 x ? (0,1) 恒成立或 f ?( x) ? 2 x ? 2 ? ? 0 对 x ? (0,1) 恒成立 x x 即 a ? ?2 x( x ? 1) x ? (0,1) 或 a ? ?2 x( x ? 1) x ? (0,1) 所以 a ? 0 或 a ? 4
(Ⅱ) f ?( x) ? 2 x ? 2 ? (Ⅲ)∵ f ? x ? ? x2 ? 2x ? a ln x

47. (浙江省乐清市白象中学 2014 届高三上学期第二次月考数学(理)试题)已知函数 f ? x ? ?

(1) 若函数 f ? x ? 在 ?1, ?? ? 上是增函数,求正实数 a 的取值范围;

1? x ? Inx . ax

? ? ax ? 1 (a ? 0) 【答案】解:(I)由题设可得 f '( x) ? ax 2 函数 f ( x ) 在 [1, ??) 上是增函数, ax ? 1 1 ? 0 即 a ? 恒成立. ? 当 x ? [1, ??) 时,不等式 f '( x) ? 2 ax x 1 当 x ? [1, ??) 时, 的最大值为 1,则实数 a 的取值范围是 [1, ??) ; x x ?1 (Ⅱ)当 a ? 1 时, f '( x) ? 2 x
(2) 当 a ? 1 时,求函数 f ? x ? 在 ? , 2 ? 上的最大值和最小值; 2
play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city a nd e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 平 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 more spirited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, t o create a gree n, low -cost operation, full of humane care of a worl d-class power ge neration company a nd w ork hard! T he occasi on of the Spri ng Festival, my sincere w ish t hat you a nd the families of the staff in the new yea r, good health, happy, happy! To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight

?1 ?

We will continue to impr ove the compa ny's inter nal control sy stem, and steady improveme nt in a bility to manage a nd contr ol, o ptimize business proce sse s, to ensure sm oot h process es, res ponsi bilities i n pla ce; to furt her strengt hen i nternal contr ols, play a control post inde pendent ov ersight role of evaluation com plying wit h third -party res ponsi bility; to a ctively make use of internal a udit tools detect potential management, streamline, standardiz e related transacti ons, strengthe ning operati ons i n accor dance with law. D eepeni ng the information m anageme nt to ensure full communicati on "zero resistance". To constantly perfect ERP, and BFS++ , and PI, a nd M IS, and SCM, i nform ation sy stem base d construction, full integrati on informati on system, a chieve d information resource s share d; to expand Portal system a ppli cation of breadt h and de pth, play i nformation sy stem on e nterprise of As sistant rol e; to perfect daily r un mainte nance operation of records, promote problem reasons a nalysis a nd system handover; t o strengtheni ng BFS++, a nd ERP, and S CM, technology a ppli cation of training , improve employees a ppli cation information system of ca pacity a nd level. Humanisti c care to ens ure "zero." To strengtheni ng Humanities care , continues to foster compa ny wind clea r, and gas are, a nd heart Shun of culture atmos phere; strengt heni ng love helpe d trapped, care difficult em ployee s; carrie d out style activitie s, rich employe es life; strengt heni ng healt h and la bour prote ction, orga nization career health me dical, control care er against; continues to impl ementation psy chological warni ng preventi on sy stem, training employees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude, created friendly fraternity of Huma nities envir onme nt. To stre ngthe n risk manageme nt, ensure that t he business of "zero risk". To stre ngthe ned busi nes s pla ns manageme nt, will busi nes s busine ss pl ans cover to all l evel, ensure the busine ss can control i n c ontrol ; to cl ose concer n financial, a nd coal ele ctric li nkage, and energy-savi ng scheduling, nati onal poli cy trends, strengt heni ng track, active shoul d; to impleme ntation State-ow ne d assets met hod, further s pe cification busine ss fina ncial ma nagement; t o perfect risk t ube contr ol system, achieved ri sk recognition, and meas ure, and asse ssment, a nd re port, a nd contr ol feedback of close d ring management, impr ove risk preve ntion capa city. To further standardize trading, a nd strive to a chi eve "accordi ng to law, standardize a nd fair." Innovati on of performance management, t o ens ure that potential em ployee s "zero fly". To stre ngthe n perform ance manageme nt, pr oces s control, e nha nce em ployee eval uation and levels of effective communi cation to improve performance manageme nt. To further quantify and refine employee sta ndar ds .. . Work, full play party, a nd branch, a nd member s in "five type Enter prise" constr uction in t he of cor e role, a nd fighting fortres s role and pi oneer m odel r ole; to conti nue s to strengt heni ng "four good" leader shi p

constructi on

?1 ? ?1 ? ? 当 x ? ? ,1? 时, f '( x) ? 0 ,于是 f ( x) 在 ? ,1? 上单调递减; ?2 ? ?2 ? 当 x ? (1, 2] 时, f '( x) ? 0 ,于是 f ( x ) 在 (1, 2] 上单调递增.

3 ln e3 ? ln16 ?1? ? 2ln 2 ? ? 0 ? f ? ? ? f (2) 2 2 ?2? 1 ?1 ? 综上所述,当 x ? 1 时,函数 f ( x ) 在 ? , 2 ? 上的最小值为 f (1) ? 0 ,当 x ? 时, 2 ?2 ? ?1 ? ?1? 函数 f ( x ) 在 ? , 2 ? 上的最大值为 f ? ? ? 1 ? ln 2 ?2 ? ?2?
又 f ? ? ? f (2) ?

?1? ?2?

48 .( 浙 江 省 湖 州 市 八 校 2014 届 高 三 上 学 期 第 二 次 联 考 数 学 ( 理 ) 试 题 ) 已 知 函 数

f ( x) ? ( x2 ? ax ? 2a2 ? 3a)e x ( x ? R), 其中 a ? R (I)当 a ? 0 时,求 曲线 y ? f ( x)在点(1, f (1)) 处的切线的斜率;w.w.w..c.o.m 2 (II)当 a ? 时,求函数 f ( x) 的单调区间与极值.w.w.w..c.o.m 3
【答案】

play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , A nd maintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety m anagement, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism . 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 平 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 more spirited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, t o create a gree n, low -cost operation, full of humane care of a worl d-class power ge neration company a nd w ork hard! T he occasi on of the Spri ng Festival, my sincere w ish t hat you a nd the families of the staff in the new yea r, good health, happy,

To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration compani e s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight

happy!

We will continue to impr ove the compa ny's inter nal control sy stem, and steady improveme nt in a bility to manage a nd contr ol, optimize business proce sse s, to ensure sm oot h process es, res ponsi bilities i n pla ce; to furt her strengt hen i nternal contr ols, play a control post inde pendent ov ersight role of evaluation com plying wit h third -party res ponsi bility; to a ctively make use of internal a udit tools detect potential management, streamline, standardiz e related transacti ons, strengthe ning operati ons i n accor dance with law. D eepeni ng the information manageme nt to ensure full communicati on "zero resistance". To constantly perfect ERP, and BFS++ , and PI, a nd M IS, and SCM, i nformation sy stem base d construction, full integrati on informati on sy stem, a chieve d information resource s share d; to expand Portal system a ppli cation of breadt h and de pth, play i nformation sy stem on e nterprise of As sistant rol e; to perfect daily r un mainte nance operation of records, promote problem reasons a nalysis a nd syst em handover; t o strengtheni ng BFS++, a nd ERP, and S CM, technology a ppli cation of training , improve employees a ppli cation information system of ca pacity a nd level. Humanisti c care to ens ure "zero." To strengtheni ng Humanities care , continues to foster compa ny wind clea r, and gas are, a nd heart Shun of culture atmos phere; strengt heni ng love helpe d trapped, care difficult em ployee s; carrie d out style activitie s, rich employe es life; strengt heni ng healt h and la bour prote ction, orga nization career health me di cal, control care er against; continues to impl ementation psy chological warni ng preventi on sy stem, training employees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude, created friendly fraternity of Huma nities envir onme nt. To stre ngthe n risk manageme nt, ensure that t he business of "zero risk". To stre ngthe ned busi nes s pla ns manageme nt, will busi nes s busine ss pl ans cover to all l evel, ensure the busine ss can control i n control ; to cl ose concer n financial, a nd coal ele ctric li nkage, and energy-savi ng scheduling, nati onal poli cy trends, strengt heni ng track, active shoul d; to impleme ntation State-ow ne d assets met hod, further s pe cification busine ss fina ncial ma nagement; t o perfect risk t ube contr ol system, achieved ri sk recognition, and meas ure, and asse ssment, a nd re port, a nd contr ol feedback of close d ring management, impr ove risk preve ntion capa city. To further standardize trading, a nd strive to a chi eve "accordi ng to law, standardize a nd fair." Innovati on of performance management, t o ens ure that potential em ployee s "zero fly". To stre ngthe n performance manageme nt, pr oces s control, e nha nce em ployee eval uation an d levels of effective communi cation to improve performance manageme nt. To further quantify and refine employee sta ndar ds .. . Work, full play party, a nd branch, a nd member s in "five type Enter prise" constr uction in t he of cor e role, a nd fighting fortres s role and pi oneer m odel r ole; to conti nue s to strengt heni ng "four good" leader shi p construction

49 .( 浙 江 省 慈 溪 中 学 2014 届 高 三 10 月 月 考 数 学 ( 理 ) 试 题 ) 设

x?m 和 x ?n 是 函 数

1 2 x ? (a ? 2) x 的两个极值点, 2 其中 m ? n , a ? R . (1) 求 f (m) ? f (n) 的取值 范围; 1 ? 2 ,求 f (n) ? f (m) 的最大值.(注:e 是自然对数的底数) (2)若 a ? e ? e f ( x) ? ln x ?
1 x 2 ? (a ? 2) x ? 1 ? x ? (a ? 2) ? . x x 依题意,方程 x2 ? (a ? 2) x ? 1 ? 0 有两个不等的正根 m , n (其中 m ? n ).故
【答案】(Ⅰ)解:函数 f ( x) 的定义域为 (0, ??) , f ?( x) ?

?(a ? 2)2 ? 4 ? 0 ? a ? 0, ? ?a ? 2 ? 0 并且
more spirited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, t o create a gree n, low -cost operation, full of humane care of a worl d-class power ge neration company a nd w ork hard! T he occasi on of the Spri ng Festival, my sincere w ish t hat you a nd the families of the staff in the new yea r, good health, happy, happy!

m ? n ? a ? 2, mn ? 1 .
To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight

play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city a nd e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 平 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利

We will continue to impr ove the compa ny's inter nal control sy stem, and steady improveme nt in a bility to manage a nd contr ol, o ptimize business proce sse s, to ensure sm oot h process es, res ponsi bilities i n pla ce; to furt her strengt hen i nternal contr ols, play a control post inde pendent ov ersight role of evaluation com plying wit h third -party res ponsi bility; to a ctively make use of internal a udit tools detect potential management, streamline, standardiz e related transacti ons, strengthe ning operati ons i n accor dance with law. D eepeni ng the information m anageme nt to ensure full communicati on "zero resistance". To constantly perfect ERP, and BFS++ , and PI, a nd M IS, and SCM, i nform ation sy stem base d construction, full integrati on informati on system, a chieve d information resource s share d; to expand Portal system a ppli cation of breadt h and de pth, play i nformation sy stem on e nterprise of As sistant rol e; to perfect daily r un mainte nance operation of records, promote problem reasons a nalysis a nd system handover; t o strengtheni ng BFS++, a nd ERP, and S CM, technology a ppli cation of training , improve employees a ppli cation information system of ca pacity a nd level. Humanisti c care to ens ure "zero." To strengtheni ng Humanities care , continues to foster compa ny wind clea r, and gas are, a nd heart Shun of culture atmos phere; strengt heni ng love helpe d trapped, care difficult em ployee s; carrie d out style activitie s, rich employe es life; strengt heni ng healt h and la bour prote ction, orga nization career health me dical, control care er against; continues to impl ementation psy chological warni ng preventi on sy stem, training employees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude, created friendly fraternity of Huma nities envir onme nt. To stre ngthe n risk manageme nt, ensure that t he business of "zero risk". To stre ngthe ned busi nes s pla ns manageme nt, will busi nes s busine ss pl ans cover to all l evel, ensure the busine ss can control i n c ontrol ; to cl ose concer n financial, a nd coal ele ctric li nkage, and energy-savi ng scheduling, nati onal poli cy trends, strengt heni ng track, active shoul d; to impleme ntation State-ow ne d assets met hod, further s pe cification busine ss fina ncial ma nagement; t o perfect risk t ube contr ol system, achieved ri sk recognition, and meas ure, and asse ssment, a nd re port, a nd contr ol feedback of close d ring management, impr ove risk preve ntion capa city. To further standardize trading, a nd strive to a chi eve "accordi ng to law, standardize a nd fair." Innovati on of performance management, t o ens ure that potential em ployee s "zero fly". To stre ngthe n perform ance manageme nt, pr oces s control, e nha nce em ployee eval uation and levels of effective communi cation to improve performance manageme nt. To further quantify and refine employee sta ndar ds .. . Work, full play party, a nd branch, a nd member s in "five type Enter prise" constr uction in t he of cor e role, a nd fighting fortres s role and pi oneer m odel r ole; to conti nue s to strengt heni ng "four good" leader shi p

constructi on

所以, f (m) ? f (n) ? ln mn ? (m2 ? n2 ) ? (a ? 2)(m ? n)

1 2

1 1 ? [(m ? n)2 ? 2mn] ? (a ? 2)(m ? n) ? ? (a ? 2)2 ? 1 ? ?3 2 2 故 f (m) ? f (n) 的取值范围是 (??, ?3)
(Ⅱ)解当 a ?

e?

1 1 n ? 2 时, (a ? 2)2 ? e ? ? 2 .若设 t ? (t ? 1) ,则 e m e

( m ? n) 2 1 1 ?t ? ?2?e? ?2. mn t e 1 1 1 于是有 t ? ? e ? ? (t ? e)(1 ? ) ? 0 ? t ? e t e te n 1 2 n 1 2 f (n) ? f (m) ? ln ? (n ? m ) ? (a ? 2)(n ? m) ? ln ? (n2 ? m2 ) ? (n ? m)(n ? m) m 2 m 2 2 2 n 1 n 1 n ?m n 1 n m ? ln ? (n2 ? m2 ) ? ln ? ( ) ? ln ? ( ? ) m 2 m 2 mn m 2 m n 1 1 ? ln t ? (t ? ) 2 t 1 1 1 (t ? 1) 2 1 1 ? 0. 构造函数 g (t ) ? ln t ? (t ? ) (其中 t ? e ),则 g ?(t ) ? ? (1 ? 2 ) ? ? t 2 t 2t 2 2 t e 1 所以 g (t ) 在 [e, ??) 上单调递减, g (t ) ? g (e) ? 1 ? ? . 2 2e e 1 故 f (n) ? f (m) 的最大值是 1 ? ? 2 2e 50. (浙江省平阳县第三中学 2014 届高三上学期第一次月考数学(理)试题)已知函数 (a ? 2) 2 ? ( m ? n) 2 ?

f ( x) ? a ln x ? ax ? 3 (a ? R) ,
(1)若函数 y ? f ( x) 在点 (2, f (2)) 处的切线斜率为 1,求 a 的值; (2)在(1)的条件下,对任意 t ?[1, 2] ,函数 g ( x) ? x ? x [
3 2

m ? f ?( x)] 在区间 (t ,3) 总存在极值,求 m 的 2

取值范围;
【答案】

51 . ( 浙 江 省 台 州 市 黄 岩 中 学 2013-2014 学 年 高 三 第 一 学 期 第 一 次 月 考 数 学 ( 理 ) 试 题 ) 设 函 数

f ( x) ? x2 ? a ln x ? bx ? 2, a, b ? R . (1)若函数 f ( x ) 的图像在 x ? 1 处的切线方程为 y ? 2 ,求实数 a , b 的值;
play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , A nd maintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety m anagement, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism . 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 平 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 more spirited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, t o create a gree n, low -cost operation, full of humane care of a worl d-class power ge neration company a nd w ork hard! T he occasi on of the Spri ng Festival, my sincere w ish t hat you a nd the families of the staff in the new yea r, good health, happy, To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration compani e s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight

happy!

We will continue to impr ove the compa ny's inter nal control sy stem, and steady improveme nt in a bility to manage a nd contr ol, optimize business proce sse s, to ensure sm oot h process es, res ponsi bilities i n pla ce; to furt her strengt hen i nternal contr ols, play a control post inde pendent ov ersight role of evaluation com plying wit h third -party res ponsi bility; to a ctively make use of internal a udit tools detect potential management, streamline, standardiz e related transacti ons, strengthe ning operati ons i n accor dance with law. D eepeni ng the information manageme nt to ensure full communicati on "zero resistance". To constantly perfect ERP, and BFS++ , and PI, a nd M IS, and SCM, i nformation sy stem base d construction, full integrati on informati on sy stem, a chieve d information resource s share d; to expand Portal system a ppli cation of breadt h and de pth, play i nformation sy stem on e nterprise of As sistant rol e; to perfect daily r un mainte nance operation of records, promote problem reasons a nalysis a nd syst em handover; t o strengtheni ng BFS++, a nd ERP, and S CM, technology a ppli cation of training , improve employees a ppli cation information system of ca pacity a nd level. Humanisti c care to ens ure "zero." To strengtheni ng Humanities care , continues to foster compa ny wind clea r, and gas are, a nd heart Shun of culture atmos phere; strengt heni ng love helpe d trapped, care difficult em ployee s; carrie d out style activitie s, rich employe es life; strengt heni ng healt h and la bour prote ction, orga nization career health me di cal, control care er against; continues to impl ementation psy chological warni ng preventi on sy stem, training employees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude, created friendly fraternity of Huma nities envir onme nt. To stre ngthe n risk manageme nt, ensure that t he business of "zero risk". To stre ngthe ned busi nes s pla ns manageme nt, will busi nes s busine ss pl ans cover to all l evel, ensure the busine ss can control i n control ; to cl ose concer n financial, a nd coal ele ctric li nkage, and energy-savi ng scheduling, nati onal poli cy trends, strengt heni ng track, active shoul d; to impleme ntation State-ow ne d assets met hod, further s pe cification busine ss fina ncial ma nagement; t o perfect risk t ube contr ol system, achieved ri sk recognition, and meas ure, and asse ssment, a nd re port, a nd contr ol feedback of close d ring management, impr ove risk preve ntion capa city. To further standardize trading, a nd strive to a chi eve "accordi ng to law, standardize a nd fair." Innovati on of performance management, t o ens ure that potential em ployee s "zero fly". To stre ngthe n performance manageme nt, pr oces s control, e nha nce em ployee eval uation an d levels of effective communi cation to improve performance manageme nt. To further quantify and refine employee sta ndar ds .. . Work, full play party, a nd branch, a nd member s in "five type Enter prise" constr uction in t he of cor e role, a nd fighting fortres s role and pi oneer m odel r ole; to conti nue s to strengt heni ng "four good" leader shi p construction

(2)若函数 f ( x ) 有 2 个不同的零点 x1 , x2 ,求证: a ? f (
'

x1 ? x2 )?0. 2

? f (1) ? 2 ?1 ? b ? 2 ? 2 ,即 ? ,所以 a ? 1, b ? 1 ? f '(1) ? 0 ?2 ? a ? b ? 0 (2)由于 x1 , x2 是 f ( x ) 的两个不同的零点,可设 x1 ? x2 ,且
【答案】解:由题意得: ?

x12 ? a ln x1 ? bx1 ? 2 ? 0 ,
2 x2 ? a ln x2 ? bx2 ? 2 ? 0 , a a(ln x2 ? ln x1 ) 两式相减,可得: x1 ? x2 ? ? b ,又 f '( x) ? 2 x ? ? b ,从而 x x1 ? x2 x ?x a(ln x2 ? ln x1 ) 2a 2a f '( 1 2 ) ? x1 ? x2 ? b ? ? ? 2 x1 ? x2 x2 ? x1 x1 ? x2 2( x2 ? x1 ) a ? [ln x2 ? ln x1 ? ] x2 ? x1 x2 ? x1 x 2( 2 ? 1) x x1 a ? [ln 2 ? ] x2 x2 ? x1 x1 ?1 x1 2(t ? 1) x 令 t ? 2 (t ? 1) , g (t ) ? ln t ? ,则 t ?1 x1

1 4 (1 ? t )2 g '(t ) ? ? ? ? 0 ,则 g (t ) 在 (1, ??) 上单调递增,从而 g (t ) ? g (1) ? 0 t (1 ? t )2 t (1 ? t )2 x ? x2 a2 所以 af '( 1 )? g (t ) ? 0 2 x2 ? x1
52. (浙江省台州中学 2014 届高三上学期第二次统练数学(理)试题)

设函数 f ( x) ? x ? ax ? b .
3

(Ⅰ)当 a ? 1, b ? 2 时,求函数 f ( x) 在 ?1, f (1) ? 处的切线方程;

(Ⅱ)当 b ? 2 时,若 f ( x) ? 0 对任意的 x ??0, ??? 都成立,求实数 a 的取值范围; (III)若 f ( x) ? 0 对任意的 x ? ?0, 2? 均成立,求 a ? b 的最大值.
【答案】

play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city a nd e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 平 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 more spirited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, t o create a gree n, low -cost operation, full of humane care of a worl d-class power ge neration company a nd w ork hard! T he occasi on of the Spri ng Festival, my sincere w ish t hat you a nd the families of the staff in the new yea r, good health, happy, happy!

To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight

We will continue to impr ove the compa ny's inter nal control sy stem, and steady improveme nt in a bility to manage a nd contr ol, o ptimize business proce sse s, to ensure sm oot h process es, res ponsi bilities i n pla ce; to furt her strengt hen i nternal contr ols, play a control post inde pendent ov ersight role of evaluation com plying wit h third -party res ponsi bility; to a ctively make use of internal a udit tools detect potential management, streamline, standardiz e related transacti ons, strengthe ning operati ons i n accor dance with law. D eepeni ng the information m anageme nt to ensure full communicati on "zero resistance". To constantly perfect ERP, and BFS++ , and PI, a nd M IS, and SCM, i nform ation sy stem base d construction, full integrati on informati on system, a chieve d information resource s share d; to expand Portal system a ppli cation of breadt h and de pth, play i nformation sy stem on e nterprise of As sistant rol e; to perfect daily r un mainte nance operation of records, promote problem reasons a nalysis a nd system handover; t o strengtheni ng BFS++, a nd ERP, and S CM, technology a ppli cation of training , improve employees a ppli cation information system of ca pacity a nd level. Humanisti c care to ens ure "zero." To strengtheni ng Humanities care , continues to foster compa ny wind clea r, and gas are, a nd heart Shun of culture atmos phere; strengt heni ng love helpe d trapped, care difficult em ployee s; carrie d out style activitie s, rich employe es life; strengt heni ng healt h and la bour prote ction, orga nization career health me dical, control care er against; continues to impl ementation psy chological warni ng preventi on sy stem, training employees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude, created friendly fraternity of Huma nities envir onme nt. To stre ngthe n risk manageme nt, ensure that t he business of "zero risk". To stre ngthe ned busi nes s pla ns manageme nt, will busi nes s busine ss pl ans cover to all l evel, ensure the busine ss can control i n c ontrol ; to cl ose concer n financial, a nd coal ele ctric li nkage, and energy-savi ng scheduling, nati onal poli cy trends, strengt heni ng track, active shoul d; to impleme ntation State-ow ne d assets met hod, further s pe cification busine ss fina ncial ma nagement; t o perfect risk t ube contr ol system, achieved ri sk recognition, and meas ure, and asse ssment, a nd re port, a nd contr ol feedback of close d ring management, impr ove risk preve ntion capa city. To further standardize trading, a nd strive to a chi eve "accordi ng to law, standardize a nd fair." Innovati on of performance management, t o ens ure that potential em ployee s "zero fly". To stre ngthe n perform ance manageme nt, pr oces s control, e nha nce em ployee eval uation and levels of effective communi cation to improve performance manageme nt. To further quantify and refine employee sta ndar ds .. . Work, full play party, a nd branch, a nd member s in "five type Enter prise" constr uction in t he of cor e role, a nd fighting fortres s role and pi oneer m odel r ole; to conti nue s to strengt heni ng "four good" leader shi p

constructi on

a 2a a )?? ?b ? 0 3 3 3 2a a a ,令 ?a ? b ? a ? ? t (0 ? t ? 2) 3 3 3 设 h(t ) ? 3t 2 ? 2t 3 , h?(t ) ? 6t ? 6t 2 ? h(t ) 在 ? 0,1? 上递增,在在 ?1, 2 ? 上递减, f ( x)min ? f (

h(t )max ? h(1) ? 1 ? a ? b 最大值是 1 ③当 a ? 12 时, f ( x ) 在 ? 0, 2? 上递减, f ( x)min ? f (2) ? 8 ? 2a ? b ? 0 ? a ? b ? ?4 综上所述, a ? b 的最大值是 1
53 . ( 浙 江 省 台 州 市 黄 岩 中 学 2013-2014 学 年 高 三 第 一 学 期 第 一 次 月 考 数 学 ( 理 ) 试 题 ) 已 知 函 数
2 . f ( x) ? x ? ln x? ax, a ? R .
play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , A nd maintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety m anagement, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism . 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 平 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 more spirited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, t o create a gree n, low -cost operation, full of humane care of a worl d-class power ge neration company a nd w ork hard! T he occasi on of the Spri ng Festival, my sincere w ish t hat you a nd the families of the staff in the new yea r, good health, happy, To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration compani e s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight

happy!

We will continue to impr ove the compa ny's inter nal control sy stem, and steady improveme nt in a bility to manage a nd contr ol, optimize business proce sse s, to ensure sm oot h process es, res ponsi bilities i n pla ce; to furt her strengt hen i nternal contr ols, play a control post inde pendent ov ersight role of evaluation com plying wit h third -party res ponsi bility; to a ctively make use of internal a udit tools detect potential management, streamline, standardiz e related transacti ons, strengthe ning operati ons i n accor dance with law. D eepeni ng the information manageme nt to ensure full communicati on "zero resistance". To constantly perfect ERP, and BFS++ , and PI, a nd M IS, and SCM, i nformation sy stem base d construction, full integrati on informati on sy stem, a chieve d information resource s share d; to expand Portal system a ppli cation of breadt h and de pth, play i nformation sy stem on e nterprise of As sistant rol e; to perfect daily r un mainte nance operation of records, promote problem reasons a nalysis a nd syst em handover; t o strengtheni ng BFS++, a nd ERP, and S CM, technology a ppli cation of training , improve employees a ppli cation information system of ca pacity a nd level. Humanisti c care to ens ure "zero." To strengtheni ng Humanities care , continues to foster compa ny wind clea r, and gas are, a nd heart Shun of culture atmos phere; strengt heni ng love helpe d trapped, care difficult em ployee s; carrie d out style activitie s, rich employe es life; strengt heni ng healt h and la bour prote ction, orga nization career health me di cal, control care er against; continues to impl ementation psy chological warni ng preventi on sy stem, training employees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude, created friendly fraternity of Huma nities envir onme nt. To stre ngthe n risk manageme nt, ensure that t he business of "zero risk". To stre ngthe ned busi nes s pla ns manageme nt, will busi nes s busine ss pl ans cover to all l evel, ensure the busine ss can control i n control ; to cl ose concer n financial, a nd coal ele ctric li nkage, and energy-savi ng scheduling, nati onal poli cy trends, strengt heni ng track, active shoul d; to impleme ntation State-ow ne d assets met hod, further s pe cification busine ss fina ncial ma nagement; t o perfect risk t ube contr ol system, achieved ri sk recognition, and meas ure, and asse ssment, a nd re port, a nd contr ol feedback of close d ring management, impr ove risk preve ntion capa city. To further standardize trading, a nd strive to a chi eve "accordi ng to law, standardize a nd fair." Innovati on of performance management, t o ens ure that potential em ployee s "zero fly". To stre ngthe n performance manageme nt, pr oces s control, e nha nce em ployee eval uation an d levels of effective communi cation to improve performance manageme nt. To further quantify and refine employee sta ndar ds .. . Work, full play party, a nd branch, a nd member s in "five type Enter prise" constr uction in t he of cor e role, a nd fighting fortres s role and pi oneer m odel r ole; to conti nue s to strengt heni ng "four good" leader shi p construction

(1)若 a ? 0, 求函数 f ( x ) 的单调区间 (2)若 f ( x ) 在 (0,1) 上是增函数,求实数 a 的取值范围.
【 答 案 】 (1) 当

a ? 2 2 时 , f ( x) 的 增 区 间 是 (0,

a ? a2 ? 8 a ? a2 ? 8 ),( , ??) , 减 区 间 是 4 4

a ? a2 ? 8 a ? a2 ? 8 , ) ;当 0 ? a ? 2 2 时, f ( x) 的增区间是 (0, ??) 4 4 (2) a ? 2 2 . (

play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city a nd e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 平 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 more spirited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, t o create a gree n, low -cost operation, full of humane care of a worl d-class power ge neration company a nd w ork hard! T he occasi on of the Spri ng Festival, my sincere w ish t hat you a nd the families of the staff in the new yea r, good health, happy, happy!

To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight


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