江苏省2014届高三数学一轮复习考试试题精选(1)分类汇编6:指数函数、对数函数及幂函数


confere nces , learne d superi ors policie s; reports, you ca n learn t o deal wit h problems, art, j ust wante d to lear n, to lear n at any time. To continuously expa nd the scope of the study. T he complexity and comprehensive nes s of our w ork, deci ded to not only do we want to be "profes sionals", or if "generalists", to dabble i n different areas of knowle dge. Mastery of knowle dge not only t o have knowle dge to rational analys is. T his on requirements w e, not only to le arning national of route , and approach, a nd policy, als o to lear ning national of legal, and regulati ons ; not only to wit h political t heory armed mind, al so to wit h economic the ory gui de work ; not only to rea d hist ory, al so to rea d hist ory; not only to a bs orpti on SM of mirror, also t o gets is of roa d; not only t o from local lear n, als o to to outsi de learn; not only to t o books lear n, als o to field st udy lear n. Therefore, I would e ncourage you, and more to the out side w orld w hen I have time to take a look at, take a stroll, outside de vel opme nts, learn other people's development a pproach, and the n come back to g uide our w ork. Second, we must think. " Learni ng without thoug ht to ov ers hadow, t hinki ng without learni ng is per ilous." We wa nt to foster the character of advancing wit h the times, forge ahead, often reflect thems elves in a dapti ng to the new sit uation on w hether there are delays, have a nythi ng to fear in the reform and innov ation, whether i n terms of accelerating the devel opment of a relaxation, keep promisi ng State of mind. I n or der to do investi gations, i nvestigations is the r oad to heaven, God dis poses of the base . To w ants to real heard trut h, and justice to tr uth, a nd get truth, receive d effectivenes s, on must in -depth a ctual , and outrea ch, a nd i n-dept h masse s, wors hip mas ses for Divisi on, a nd mas ses he art, with mass es with dis cus sion everyone care of probl em, listeni ng they of call s, under stand t hey of mood, feel they of s uffering, summary they of experience, conce ntrated they of wis dom, e spe cially on masse s most hope, a nd m ost urgent, a nd most worries , and most compl aine d of hot, a nd difficulties a nd focus problem, more to a ctive resear ch, caught not put. Dare to i nnovat e, in our work , often remain "the old way does n't work, t he ne w appr oach would not" situati on, t he reas on, the key is that many pe opl e know that copying other pe opl e's ide as, mechani call y, usi ng s omeone else' s old way s. To change thi s pre dicame nt, require s us t o break the sha ckles of traditional conce pts to ov ercome conservative, conformist, g ood at finding new pr oblem s and to accept new thi ngs, s ummarize ne w experie nce , new i deas, developi ng new programmes and Maverick, a new a pproach to solv e problems, s pee d up devel opment . Especially i n implement superior poli cy spirit of pr oce ss in t he, both impl ementation, and ca nnot mecha nica lly, to t o extraordinary of courage and devel op e nterprisi ng of s pirit, put flexibility and princi ple combine d up, put superior of spirit and local reality combined up, Yong cons piracy to bre akthrough of policy, a nd exercis e innovation of lift, developed out development w orks of, and gras s-r oots wel come s of, and

江苏省 2014 届高三数学一轮复习考试试题精选(1)分类汇编 6:指数函数、对数函数及 幂函数
一、填空题 1 . (江苏省兴化市 2014 届高三第一学期期中调研测试)计算: e 【答案】11 2 . (江苏省丰县中学 2014 届高三 10 月阶段性测试数学(理)试题)如图,已知过原点 O 的直线与函数
ln 3

? log 3 9 ? ?0.125?

?

2 3

? __★__.

y ? log8 x 的图像交于 A,B 两点,分别过 A,B 作 y 轴的平行线与函数 y ? log2 x 的图像交于 C,D 两点;
若 BC / / x 轴,则点 A 的坐标为_____________.

【答案】 ?

1 ? ? 3, log 2 3 ? 6 ? ?

3 . (江苏省泰州市姜堰区 2014 届高三上学期期中考试数学试题) lg 2 ? lg 5 ? ________. 【答案】1 4 . (江苏省兴化市 2014 届高三第一学期期中调研测试)已知函数 y
2

? log1 x 2 ? ax ? 3a 在 ?2,??? 上为减

?

?

函数,则实数 a 的取值范围是__★__.
【答案】 ?? 4,4

?
1? x (0<a<1) 为奇 b? x

5 . (江苏省宿迁市 2014 届高三上学期第一次摸底考试数学试卷)已知函数 f ( x) ? loga

a] 时,函数 f ( x) 的值域是 ( ?? , 1] ,则实数 a ? b 的值为______. 函数,当 x ? (?1,
【答案】 2 6 . (江苏省诚贤中学 2014 届高三上学期第一次月考数学试题)已知函数

f(x)=loga(x2-ax+2)在(2,+

∞)上为增函数,则实数 a 的取值范围为________. 【答案】(1,3]
7 . (江苏省梁丰高级中学 2014 届第一学期阶段性检测一)已知 a ?

5 ? 1 ,函数 f ( x) ? log (1 ? x) ,若正实 a 2

数 m 、 n 满足
【答案】m>n 8

f (m) ? f (n) ,则 m 、 n 的大小关系为____

.( 江 苏 省 灌 云 县 陡 沟 中 学 2014 届 高 三 上 学 期 第 一 次 过 关 检 测 数 学 试 题 ) 若
This is comrade XI Jinping a s party Ge neral Secretary a nd a dhere t o strictly admi nistering t he party, strengthen the party's major de cision is i n line wit h the publ ic expe ctations and strengt heni ng the construction of learni ng-oriente d service innovation of Marxist party's maj or de ployme nt, is the important meas ure to adva nce t he great ca use of s ociali sm with Chine se characteri stics. First, carry out

Accor ding to Office Party of mass line education pra ctice a ctivities le d group of unifie d arrangement s, units main le d to for cadre s workers S hang a times party lecture , due to himse lf level limited, only put t hi s stage concentrated lear ning of experience today and everyone common wit h learni ng excha nge, purpose is let we furt her de e p understanding mass li ne of connotation, insisted party of mass line, do masses w ork, following main from four a a spe cts tol d: a, a nd full aware nes s party of mass line education pra ctice a ctivities of major mea ning Party's 18 major distinct proposed to fo cus on the party's a dvanced nature and purity, i n the party, with "pragmati c and clea n for the pe opl e" as the main content of the pa rty's mass line and educational pra ctice . 准 标 收 验 到 达 中 程 过 在 措 染 污 尘 扬 制 控 与 护 保 境 环 效 取 采 排 动 劳 洁 整 容 通 畅 路 道 序 有 存 备 设 、 料 材 理 合 置 布 场 现 ”。 板 样 全 “安 建 创 , 求 要 范 规 的 地 工 施 明 文 于 关 市 州 兰 照 按 格 严

the party's mass li ne in e ducation practi ce, wa s carrying 18 of the party spirit, s ummon a powerf ul force for realizi ng the g reat rejuv enation of the Chi nese nation t he Chine se dream of urge nt nee ds. Party's 18 to pr omote strategic depl oyment to buil ding s oci alism with Chi nese characteri stics , pres ents two 10 0-year goal, namel y, by 20 20 China's gr oss domesti c product and per capita income of urba n and rural residents i n 2010 on the basi s of double complete the buil ding of a well-off society; t he middle of thi s cent ury into a pros perous, democratic, civilized a nd harmonious Socialist moder n country, and on t his ba sis, t he Chines e dream of realizi ng the great rejuv enation of the Chi nese nation. 18 Congre ss of the party, Comrade XI Jinpi ng repeate dly expounde d the Chinese dre am. The basic connotation of the Chines e dream, is t he nati onal pros perity, national revitalization, the happiness of the pe ople , Chi na important to follow is to kee p Chi na Road, carry forward t he spir it and cohesi on stre ngth of China, dream dreams of the pe ople of Chi na, but determine d confide nce, enhance self-a warene ss, a chieve self-relia nce, t o build a stronger China , civilizati on, harmony, bea uty, Chi na, China, Chi na. Strategic concepti on of China wa s 18 the spirit of the enri chme nt and development of the party, conscienti ously st udy the Chi nes e dream, lea ding people to har d to realize t he Chines e dream, mass e ducation activitie s in de pth t he fundamental starting point a nd e ndi ng point. Strengt hen t he educati on of the party's mass li ne, helps t o train the colle ctive cons cious ness of the unity of t he party a nd the people, playing the Chi nese dream ide ologi cal ba ses. Comrade M ao Zedong stre ssed t hat parties should have "common lang uage" socialist countri es must have "unity of will". Hist ory has

confere nces , learne d superi ors policie s; reports, you ca n learn t o deal wit h problems, art, j ust wante d to lear n, to lear n at any time. To continuously expa nd the scope of the study. T he complexity and comprehensive nes s of our w ork, deci ded to not only do we want to be "profes sionals", or if "generalists", to dabble i n different areas of knowle dge. Mastery of knowle dge not only t o hav e knowle dge to rational analys is. T his on requirements w e, not only to le arning national of route , and approach, a nd policy, als o t o lear ning national of legal, and regulati ons ; not only to wit h political t heory armed mind, al so to wit h economic the ory gui de work ; not only to rea d hist ory, al so to rea d hist ory; not only to a bs orpti on SM of mirror, also t o gets is of roa d; not only t o from local lear n, als o to to outsi de learn; not only to t o books lear n, als o to field st udy lear n. Therefore, I would e ncourage you, and more to the out side w orld w hen I have time to take a look at, take a stroll, outside devel opme nts, learn other peopl e's development a pproach, and the n come back to g uide our w ork. Second, we must think. " Learni ng without thoug ht to overs hadow, t hinki ng without learni ng is per ilous." We wa nt to foster the character of advancing wit h the times, forge ahead, often reflect thems elves in a dapti ng to the new sit uation on w hether there are delays, have a nythi ng to fear in the reform and innovation, whether i n terms of accelerating the devel opment of a relaxation, keep promisi ng State of mind. I n or der to do investigations, i nve stigations is the r oad to heaven, God dis poses of the base . To w ants to real heard trut h, and justice to tr uth, a nd get truth , receive d effectivenes s, on must in -depth a ctual , and outrea ch, a nd i n-dept h masse s, wors hip mas ses for Divisi on, a nd mas ses he art, with mass es with dis cus sion everyone care of probl em, listeni ng they of call s, under stand t hey of mood, feel they of s uffering, summary they of experience, conce ntrated they of wis dom, e spe cially on masse s most hope, a nd m ost urgent, a nd most worries , an d most compl aine d of hot, a nd difficulties a nd focus problem, more to a ctive resear ch, caught not put. Dare to i nnovate, in o ur work , often remain "the old way does n't work, t he ne w appr oach would not" situati on, t he reas on, the key is that many pe opl e kno w that copying other pe opl e's ide as, mechani call y, usi ng s omeone else' s old way s. To change thi s pre dicame nt, require s us t o break the sha ckles of traditional conce pts to ov ercome conservative, conformist, g ood at finding new pr oblem s and to accept new thi ngs, s ummarize ne w experie nce , new i deas, developi ng new programmes and Maverick, a new a pproach to solv e problems, s pee d up devel opment . Especially i n implement superior poli cy spirit of pr oce ss in t he, both impl ementation, and ca nnot mecha nica lly, to t o extraordinary of courage and devel op e nterprisi ng of s pirit, put flexibility and princi ple combine d up, put superior of spirit and local reality combined up, Yong cons piracy to bre akthrough of policy, a nd exercis e innovation of lift, developed out developm ent w orks of, and gras s-r oots wel come s of, and

x ?1 ? ?2e , x ? 2, f ( x) ? ? 则f ( f (3)) 的值为_______; 2 ? ?1g ( x ? 1), x ? 2.

【答案】2 9 . (江苏省苏州市 2013-2014 学年第一学期高三期中考试数学试卷)已知函数

f ( x) ? e| x?a| ( a 为常数),若

f ( x) 在区间 [1,??) 上是增函数 ,则 a 的取值范围是
___.
【答案】 ?? ?,1

?
y ? log 2 x ? 4 ( x ? [2, 4]) 的最 log 2 x

10. (江苏省诚贤中学 2014 届高三上学期第一次月考数学试题)函数

大值是______. 【答案】5
11. (江苏省梁丰高级中学 2014 届第一学期阶段性检测一)若函数

f ( x) ? a x ? x ? a (a>0 且 a ? 1)有两个零

点,则实数 a 的取值范围是___________
【答案】 {a | a ? 1} 12. (江苏省灌云县陡沟中学 2014 届高三上学期第一次过关检测数学试题) 函数

f ( x) ? log 1 (? x2 ? 2 x ? 3) 的
2

单调递增区间是_____________;
【答案】 (?1,1) 13. (江苏省苏州市 2014 届高三暑假自主学习测试(9 月)数学试卷)已知函数 y

? x m ,其中 m, n 是取自集

n

合 {1, 2,3} 的两个不同值,则该函数为偶函数的概率为______.
【答案】

1 3

14. (江苏省常州市武进区 2014 届高三上学期期中考试数学(理)试题)若点 ( a,9) 在函数 y

? 3x 的图像上,则

tan

a? 的值为______. 6

【答案】

3

15. (江苏省灌云县陡沟中学 2014 届高三上学期第一次过关检测数学试题) 把函数

y ? 2 x 图象上所有点向

_____平移一个单位可得 y ? 2
【答案】左

x ?1

的图象;

16. (江苏省涟水中学 2014 届高三上学期(10 月)第一次统测数学(理)试卷)若函数

y ? log2 ax ?1

的图象

对称轴是直线 x ? 2 ,则非零实数 a 的值为______.
Accor ding to Office Party of mass line education pra ctice a ctivities le d group of unifie d arrangement s, units main le d to for cadre s workers S hang a times party lecture , due to himse lf level limited, only put thi s stage concentrated lear ning of experience today and everyone common wit h learni ng excha nge, purpose is let we furt her de ep understanding mass li ne of connotation, insisted party of mass line, do masses w ork, following main from four a a spe cts tol d: a, a nd full aware nes s party of mass line education pra ctice a ctivities of major mea ning Party's 18 major distinct proposed to focus on the party's a dvanced nature and purity, i n the party, with "pragmati c and clea n for the pe opl e" as the main content of the party's mass line and educational pra ctice . 准 标 收 验 到 达 中 程 过 在 措 染 污 尘 扬 制 控 与 护 保 境 环 效 取 采 排 动 劳 洁 整 容 通 畅 路 道 序 有 存 备 设 、 料 材 理 合 置 布 场 现 ”。 板 样 全 “安 建 创 , 求 要 范 规 的 地 工 施 明 文 于 关 市 州 兰 照 按 格 严 This is comrade XI Jinping a s party Ge neral Secretary a nd a dhere t o strictly admi nistering t he party, strengthen the party's major de cision is i n line wit h the publ ic expe ctations and strengt heni ng the construction of learni ng-oriente d service innovation of Marxist party's maj or de ployme nt, is the important meas ure to adva nce t he great ca use of s ociali sm with Chine se characteri stics. First, carry out the party's mass li ne in e ducation practi ce, wa s carrying 18 of the party spirit, s ummon a powerf ul force for realizi ng the great rejuv enation of t he Chi nese nation t he Chine se dream of urge nt nee ds. Party's 18 to pr omote strategic depl oyment to buil ding s oci alism with Chi nese characteri stics , pres ents two 10 0-year goal, namel y, by 20 20 China's gr oss domesti c product and per capita income of urba n and rural residents i n 2010 on the basi s of double complete the buil ding of a well-off society; t he middle of thi s cent ury into a pros perous, democratic, civilized a nd harmonious Socialist moder n country, and on t his ba sis, t he Chines e dream of realizi ng the great rejuv enation of the Chi nese nation. 18 Congre ss of the party, Comrade XI Jinpi ng repeate dly expounde d the Chinese dre am. The basic connotation of the Chines e dream, is t he nati onal pros perity, national revitalization, the happiness of the pe ople , Chi na important to follow is to kee p Chi na Road, carry forward t he spir it and cohesi on stre ngth of China, dream dreams of the pe ople of Chi na, but determine d confide nce, enhance self-a warene ss, a chieve self-relia nce, t o build a stronger China , civilizati on, harmony, bea uty, Chi na, China, Chi na. Strategic concepti on of China wa s 18 the spirit of the enri chme nt and development of the party, conscienti ously st udy the Chi nes e dream, lea ding people to har d to realize t he Chines e dream, mass e ducation activitie s in de pth t he fundamental starting point a nd e ndi ng point. Strengt hen t he educati on of the party's mass li ne, helps t o train the colle ctive cons cious ness of the unity of the party a nd the people, playing the Chi nese dream ide ologi cal ba ses. Comrade M ao Zedong stre ssed t hat parties should have "common lang uage" socialist countri es must have "unity of will". Hist ory has

confere nces , learne d s uperi ors polici es; re ports, y ou can lear n to deal with problems, art, j ust wante d to lear n, to lear n at any time. To continuously expa nd t he s cope of the st udy. The complexity and com prehe nsive nes s of our w ork, deci ded to not only do we wa nt to be "professi onal s", or if "generalists", to dabble in different ar eas of knowle dge. Mastery of knowle dge not only to have k nowl edge to rational a nalysis . Thi s on re quireme nts we, not only to le arning national of route, and approa ch, a nd poli cy, also t o learni ng nati onal of legal, and regulations ; not only to with politica l theor y armed mind, al so to w ith economic t heory guide w ork; not only to read histor y, als o to read history ; not only t o abs orpti on SM of mirror, als o to gets is of road; not only to from l ocal lear n, als o to to outsi de lear n; not only to to book s learn, also t o field st udy lear n. Therefore, I would e ncourage you, and more to t he outside worl d whe n I hav e time to take a look at, take a stroll, outsi de de vel opme nts, lear n other pe ople' s devel opme nt approa ch, a nd then come back to g uide our w ork. Second, we mu st think . "Learning without t hought to ov ersha dow, thi nking without learni ng is perilous." We w ant to foster t he character of a dvancing wit h the times, forge a head, often reflect t hemselves i n ada pting to t he new situati on on w hether there are delays, have anyt hing to fear in t he reform and innovation, w hether i n terms of accelerating t he development of a relaxation, keep promisi ng State of mind. I n or der to do inve stigations, investigations i s the roa d to heaven, God di sposes of the ba se. To want s to real he ard trut h, and justice to tr uth, a nd get trut h, received effectiveness, on must in -de pth a ctual, a nd outrea ch, a nd i n-de pth masse s, w orshi p masses for Divisi on, and masses heart, wit h masse s with discus sion everyone care of problem, liste ning they of calls, understa nd they of mood, feel they of s uffering, s ummary they of experie nce , concentrated they of wis dom, es pe cially on m asse s most hope , and most urge nt, and most w orries, and most com plaine d of hot, and difficulties and focus probl em, more to a ctive resear ch, caught not put. Dar e to innovate, i n our work, often remain "the old way doe sn't work , the new approa ch w oul d not" situation, the reason, the key is that many people know that copying other pe opl e's ide as, mechani call y, usi ng s omeone else' s old way s. To change thi s pre dicame nt, require s us t o break the sha ckles of traditional conce pts to ov ercome conservative, conformist, g ood at finding new pr oblem s and to accept new thi ngs, s ummarize ne w experie nce , new i deas, developi ng new programmes and Maverick, a new a pproach to solv e problems, s pee d up devel opment . Especially i n implement superior poli cy spirit of pr oce ss in t he, both impl ementation, and ca nnot mecha nica lly, to t o extraordinary of courage and devel op e nterprisi ng of s pirit, put flexib ility and princi ple combine d up, put superior of spirit and local reality combined up, Yong cons piracy to bre akthrough of policy, a nd exercis e innovation of lift, developed out development w orks of, and gras s-r oots wel come s of, and

【答案】

1 2

17. (江苏省启东中学 2014 届高三上学期期中模拟数学试题)方程 x lg( x ? 2) ? 1 有____个不同的实数根 【答案】2 18 . (江苏省阜宁中学 2014 届高三第一次调研考试数学(理)试题) 设定义在区间

??m, m? 上的函数

f ? x ? ? log2 1 ? nx 是奇函数,且 f ? 1 ? f 1 ,则 n m 的范围为________. 4 4 1 ? 2x
【答案】 [ 4

? ? ??

2, 2)
?0, 0 ? x ? 1, x?? 现有四个命 ? ln x, x ? 1,

? 19. (江苏省泗阳中学 2014 届高三第一次检测数学试题)定义“正对数”: ln

题: ①若 a ? 0, b ? 0 ,则 ln ? ( a b ) ? b ln ? a ; ②若 a ? 0, b ? 0 ,则 ln ? ( ab) ? ln ? a ? ln ? b ③若 a ? 0, b ? 0 ,则 ln ( ) ? ln a ? ln b ;
? ? ?

a b

④若 a ? 0, b ? 0 ,则 ln ? ( a ? b) ? ln ? a ? ln ? b ? ln 2 其中的真命题有_____ 【答案】①③④ _____.(写出所有真命题的编号)

20. (江苏省丰县中学 2014 届高三 10 月阶段性测试数学(理)试题)函数 y=loga(x+1)+2(a>0,a≠1)的图象恒

过一定点是________. 【答案】(0,2)
21( .江苏省丰县中学 2014 届高三 10 月阶段性测试数学 (理) 试题) 已知幂函数 f(x)=k·x 的图象过点? ,
α

?1 ?2

2? ?, 2?

则 f(x)=________.
1

【答案】

x2
2

22. (江苏省灌云县陡沟中学 2014 届高三上学期第一次过关检测数学试题)函数 f ( x) ? 1og 1 ( x ? 1) 的定义

域为____________;
【答案】 (1, 2] 23. (江苏省灌云县陡沟中学 2014 届高三上学期第一次过关检测数学试题)幂函数

f ? x ? ? x? ?? ? R ? 过点

? 2, 2 ? ,则 f ? 4? ? ____;
【答案】2 24 . ( 江 苏 省 梁 丰 高 级 中 学 2014 届 第 一 学 期 阶 段 性 检 测 一 ) 计
This is comrade XI Jinping a s party Ge neral Secretary a nd a dher e to strictly admi nistering t he part y, strengt hen the party's major de cision is i n line wit h the publ ic expe ctations and strengt heni ng the construction of learni ng-oriente d service innovation of Marxist party's maj or de ployme nt, is the important meas ure to adva nce the great ca use of s ocial ism with Chinese characteri stics . First, carry out

Accor ding to Office Party of mass line education pra ctice a ctivities le d group of unifie d arrangement s, units main le d to for cadre s workers S hang a times party lecture , due to himse lf level limited, only put this stage concentrated le arning of experience today and everyone common wit h learni ng excha nge, purpose is let we furt her de ep understanding mass li ne of connotation, i nsisted party of mass line, do masses w ork, following main from four a a spe cts tol d: a, a nd full aware nes s party of mass li ne educati on pra ctice a ctivities of major mea ning Party's 18 major distinct proposed to focus on the party's a dvanced nature a nd purity, i n the party, with "pr agmati c and clea n for the people" as the main content of the party's mass line and educational pra ctice . 准 标 收 验 到 达 中 程 过 在 措 染 污 尘 扬 制 控 与 护 保 境 环 效 取 采 排 动 劳 洁 整 容 通 畅 路 道 序 有 存 备 设 、 料 材 理 合 置 布 场 现 ”。 板 样 全 “安 建 创 , 求 要 范 规 的 地 工 施 明 文 于 关 市 州 兰 照 按 格 严

the party's mass li ne in e ducation practi ce, wa s carryi ng 18 of the party spirit, s ummon a pow erful force for realizi ng the great rej uvenati on of the Chi nese nation the Chinese dre am of urgent nee ds . Party's 18 to promote strategi c de ployment to buildi ng socialism wit h Chi nese chara cteristics, pre s ents two 10 0-year goal, namel y, by 20 20 China's gr oss domesti c product and per capita income of urba n and rural resi dents i n 201 0 on t he ba sis of double complete the buildi ng of a well -off soci ety; the middle of this ce ntury int o a prosperous, dem ocratic, civilize d and harm oni ous S ociali st moder n country, and on t his ba sis, t he Chines e dream of realizi ng the great rej uvenati on of the Chi nese nation. 18 Congre ss of the party, Comrade XI Jinping re peatedly ex pounded the Chi nese dream. The basi c connotation of the Chinese dre am, is the national prosperit y, nati onal revitalizati on, the ha ppiness of the pe ople , Chi na important to follow is to kee p Chi na Road, carry forward t he s pirit and cohesi on stre ngth of China , dream dreams of the pe opl e of Chi na, but determi ned confidence, e nha nce self-aware ness, a chi eve self-relia nce, to buil d a stronger Chi na, civi lization, harmony, bea uty, Chi na, China, Chi na. Strategic concepti on of China wa s 18 the spirit of the enri chme nt and development of the party, conscienti ously st udy the Chi nes e dream, lea ding people to har d to realize t he Chines e dream, mass e ducation activitie s in de pth t he fundamental starting point a nd e ndi ng point. Strengt hen t he educati on of the party's mass li ne, helps t o train the colle ctive cons cious ness of the unity of the party a nd the people, playing the Chi nese dream ide ologi cal ba ses. Comrade M ao Zedong stre ssed t hat parties should have "common lang uage" socialist countri es must have "unity of will". Hist ory has

confere nces , learne d superi ors policie s; reports, you ca n learn t o deal wit h problems, art, j ust wante d to lear n, to lear n at any time. To continuously expa nd the scope of the study. T he complexity and comprehensive nes s of our w ork, deci ded to not only do we want to be "profes sionals", or if "generalists", to dabble i n different areas of knowle dge. Mastery of knowle dge not only t o hav e knowle dge to rational analys is. T his on requirements w e, not only to le arning national of route , and approach, a nd policy, als o t o lear ning national of legal, and regulati ons ; not only to wit h political t heory armed mind, al so to wit h economic the ory gui de work ; not only to rea d hist ory, al so to rea d hist ory; not only to a bs orpti on SM of mirror, also t o gets is of roa d; not only t o from local lear n, als o to to outsi de learn; not only to t o books lear n, als o to field st udy lear n. Therefore, I would e ncourage you, and more to the out side w orld w hen I have time to take a look at, take a stroll, outside devel opme nts, learn other peopl e's development a pproach, and the n come back to g uide our w ork. Second, we must think. " Learni ng without thoug ht to overs hadow, t hinki ng without learni ng is per ilous." We wa nt to foster the character of advancing wit h the times, forge ahead, often reflect thems elves in a dapti ng to the new sit uation on w hether there are delays, have a nythi ng to fear in the reform and innovation, whether i n terms of accelerating the devel opment of a relaxation, keep promisi ng State of mind. I n or der to do investigations, i nve stigations is the r oad to heaven, God dis poses of the base . To w ants to real heard trut h, and justice to tr uth, a nd get truth , receive d effectivenes s, on must in -depth a ctual , and outrea ch, a nd i n-dept h masse s, wors hip mas ses for Divisi on, a nd mas ses he art, with mass es with dis cus sion everyone care of probl em, listeni ng they of call s, under stand t hey of mood, feel they of s uffering, summary they of experience, conce ntrated they of wis dom, e spe cially on masse s most hope, a nd m ost urgent, a nd most worries , an d most compl aine d of hot, a nd difficulties a nd focus problem, more to a ctive resear ch, caught not put. Dare to i nnovate, in o ur work , often remain "the old way does n't work, t he ne w appr oach would not" situati on, t he reas on, the key is that many pe opl e kno w that copying other pe opl e's ide as, mechani call y, usi ng s omeone else' s old way s. To change thi s pre dicame nt, require s us t o break the sha ckles of traditional conce pts to ov ercome conservative, conformist, g ood at finding new pr oblem s and to accept new thi ngs, s ummarize ne w experie nce , new i deas, developi ng new programmes and Maverick, a new a pproach to solv e problems, s pee d up devel opment . Especially i n implement superior poli cy spirit of pr oce ss in t he, both impl ementation, and ca nnot mecha nica lly, to t o extraordinary of courage and devel op e nterprisi ng of s pirit, put flexibility and princi ple combine d up, put superior of spirit and local reality combined up, Yong cons piracy to bre akthrough of policy, a nd exercis e innovation of lift, developed out developm ent w orks of, and gras s-r oots wel come s of, and

算: 3

2 ? log3 5

? lg 2 2 ? lg 5 lg 20 ? 1 =______________________

【答案】46 25 . ( 江 苏 省 连 云 港 市 赣 榆 县 清 华 园 双 语 学 校 2014 届 高 三 10 月 月 考 数 学 试 题 ) 若 函 数

f ( x) ? l o g x 2 ? 2a 2 ) 是奇函数,则 a=______. a (x ?
【答案】

2 2
1 lg 5 ? lg 20 ? ___★___. 2
x x

26. (江苏省兴化市安丰高级中学 2014 届高三第一学期 9 月份月考数学试卷) 【答案】1.

27. (江苏省丰县中学 2014 届高三 10 月阶段性测试数学(理)试题)已知 1+2 +4 ·a>0 对一切 x∈(-∞,1]

上恒成立,则实数 a 的取值范围是________.
【答案】?- ,+∞? 28. (江苏省徐州市 2014 届高三上学期期中考试数学试题) 若不等式 (m m)2 ? ( ) ? 1 对一切 x ? (??, ?1]
2 x x

? 3 ? 4

? ?
1 2

恒成立,则实数 m 的取值范围是___________. 【答案】 ? 2 ? m ? 3
二、解答题 29. (江苏省沛县歌风中学(如皋办学)2014 届高三 10 月月考数学试题)(本小题满分 16 分,第 1 小题 7 分,

第 2 小题 9 分) 已知奇函数 f ?x ? 的定义域为 ?? 1,1?,当 x ? ?? 1,0? 时, f ?x ? ? ?? ? . (1) 求函数 f ?x ? 在 ?0,1? 上的值域; (2) 若 x ? ?0,1? ,

?1? ? 2?

x

1 f 4

2

?x ? ? ? f ?x ? ? 1 的最小值为 ? 2 ,求实数 ? 的值.
2
?x

?1? 【答案】解:(1) 设 x ? ?0,1? ,则 ? x ? ?? 1,0? 时,所以 f ?? x ? ? ?? ? ?2?
又因为 f ?x ? 为奇函数,所以有 f ?? x ? ? ? f ?x ? 所以当 x ? ?0,1? 时, f ?x? ? ? f ?? x? ? 2 ,
x

? ?2 x

所以 f ?x ? ? ?1,2? ,又 f ?0? ? 0 所以,当 x ? ?0,1? 时函数 f ?x ? 的值域为 ?1,2? ? {0} .

Accor ding to Office Party of mass line education pra ctice a ctivities le d group of unifie d arrangement s, units main le d to for cadre s workers S hang a times party lecture , due to himse lf level limited, only put thi s stage concentrated lear ning of experience today and everyone common wit h learni ng excha nge, purpose is let we furt her de ep understanding mass li ne of connotation, insisted party of mass line, do masses w ork, following main from four a a spe cts tol d: a, a nd full aware nes s party of mass line education pra ctice a ctivities of major mea ning Party's 18 major distinct proposed to focus on the party's a dvanced nature and purity, i n the party, with "pragmati c and clea n for the pe opl e" as the main content of the party's mass line and educational pra ctice . 准 标 收 验 到 达 中 程 过 在 措 染 污 尘 扬 制 控 与 护 保 境 环 效 取 采 排 动 劳 洁 整 容 通 畅 路 道 序 有 存 备 设 、 料 材 理 合 置 布 场 现 ”。 板 样 全 “安 建 创 , 求 要 范 规 的 地 工 施 明 文 于 关 市 州 兰 照 按 格 严

This is comrade XI Jinping a s party Ge neral Secretary a nd a dhere t o strictly admi nistering t he party, strengthen the party's major de cision is i n line wit h the publ ic expe ctations and strengt heni ng the construction of learni ng-oriente d service innovation of Marxist party's maj or de ployme nt, is the important meas ure to adva nce t he great ca use of s ociali sm with Chine se characteri stics. First, carry out

the party's mass li ne in e ducation practi ce, wa s carrying 18 of the party spirit, s ummon a powerf ul force for realizi ng the great rejuv enation of t he Chi nese nation t he Chine se dream of urge nt nee ds. Party's 18 to pr omote strategic depl oyment to buil ding s oci alism with Chi nese characteri stics , pres ents two 10 0-year goal, namel y, by 20 20 China's gr oss domesti c product and per capita income of urba n and rural residents i n 2010 on the basi s of double complete the buil ding of a well-off society; t he middle of thi s cent ury into a pros perous, democratic, civilized a nd harmonious Socialist moder n country, and on t his ba sis, t he Chines e dream of realizi ng the great rejuv enation of the Chi nese nation. 18 Congre ss of the party, Comrade XI Jinpi ng repeate dly expounde d the Chinese dre am. The basic connotation of the Chines e dream, is t he nati onal pros perity, national revitalization, the happiness of the pe ople , Chi na important to follow is to kee p Chi na Road, carry forward t he spir it and cohesi on stre ngth of China, dream dreams of the pe ople of Chi na, but determine d confide nce, enhance self-a warene ss, a chieve self-relia nce, t o build a stronger China , civilizati on, harmony, bea uty, Chi na, China, Chi na. Strategic concepti on of China wa s 18 the spirit of the enri chme nt and development of the party, conscienti ously st udy the Chi nes e dream, lea ding people to har d to realize t he Chines e dream, mass e ducation activitie s in de pth t he fundamental starting point a nd e ndi ng point. Strengt hen t he educati on of the party's mass li ne, helps t o train the colle ctive cons cious ness of the unity of the party a nd the people, playing the Chi nese dream ide ologi cal ba ses. Comrade M ao Zedong stre ssed t hat parties should have "common lang uage" socialist countri es must have "unity of will". Hist ory has

confere nces , learne d s uperi ors polici es; re ports, y ou can lear n to deal with problems, art, j ust wante d to lear n, to lear n at any time. To continuously expa nd t he s cope of the st udy. The complexity and com prehe nsive nes s of our w ork, deci ded to not only do we wa nt to be "professi onal s", or if "generalists", to dabble in different ar eas of knowle dge. Mastery of knowle dge not only to have k nowl edge to rational a nalysis . Thi s on re quireme nts we, not only to le arning national of route, and approa ch, a nd poli cy, also t o learni ng nati onal of legal, and regulations ; not only to with politica l theor y armed mind, al so to w ith economic t heory guide w ork; not only to read histor y, als o to read history ; not only t o abs orpti on SM of mirror, als o to gets is of road; not only to from l ocal lear n, als o to to outsi de lear n; not only to to book s learn, also t o field st udy lear n. Therefore, I would e ncourage you, and more to t he outside worl d whe n I hav e time to take a look at, take a stroll, outsi de de vel opme nts, lear n other pe ople' s devel opme nt approa ch, a nd then come back to g uide our w ork. Second, we mu st think . "Learning without t hought to ov ersha dow, thi nking without learni ng is perilous." We w ant to foster t he character of a dvancing wit h the times, forge a head, often reflect t hemselves i n ada pting to t he new situati on on w hether there are delays, have anyt hing to fear in t he reform and innovation, w hether i n terms of accelerating t he development of a relaxation, keep promisi ng State of mind. I n or der to do inve stigations, investigations i s the roa d to heaven, God di sposes of the ba se. To want s to real he ard trut h, and justice to tr uth, a nd get trut h, received effectiveness, on must in -de pth a ctual, a nd outrea ch, a nd i n-de pth masse s, w orshi p masses for Divisi on, and masses heart, wit h masse s with discus sion everyone care of problem, liste ning they of calls, understa nd they of mood, feel they of s uffering, s ummary they of experie nce , concentrated they of wis dom, es pe cially on m asse s most hope , and most urge nt, and most w orries, and most com plaine d of hot, and difficulties and focus probl em, more to a ctive resear ch, caught not put. Dar e to innovate, i n our work, often remain "the old way doe sn't work , the new approa ch w oul d not" situation, the reason, the key is that many people know that copying other pe opl e's ide as, mechani call y, usi ng s omeone else' s old way s. To change thi s pre dicame nt, require s us t o break the sha ckles of traditional conce pts to ov ercome conservative, conformist, g ood at finding new pr oblem s and to accept new thi ngs, s ummarize ne w experie nce , new i deas, developi ng new programmes and Maverick, a new a pproach to solv e problems, s pee d up devel opment . Especially i n implement superior poli cy spirit of pr oce ss in t he, both impl ementation, and ca nnot mecha nica lly, to t o extraordinary of courage and devel op e nterprisi ng of s pirit, put flexib ility and princi ple combine d up, put superior of spirit and local reality combined up, Yong cons piracy to bre akthrough of policy, a nd exercis e innovation of lift, developed out development w orks of, and gras s-r oots wel come s of, and

(2)由(1)知当 x ? ?0,1? 时 f ?x ? ? ?1,2? ,所以 令t ?

1 ?1 ? f ? x ? ? ? ,1? 2 ?2 ?

1 1 f ? x ? ,则 ? t ? 1 , 2 2
2

1 g ?t ? ? f 4
①当

?? ? ?x ? ? f ?x ? ? 1 ? t ? ?t ? 1 ? ? ?t ? ? ?1? 2 4 ? 2?
?
2

2

2

?
2

?

1 ?1? ,即 ? ? 1 时, g ?t ? ? g ? ? ,无最小值, 2 ?2?

②当

1 ? ?2 ??? ? ? 1 ,即 1 ? ? ? 2 时, g ?t ?min ? g ? ? ? 1 ? ? ?2 , 2 2 4 ?2?

解得 ? ? ?2 3 舍去 ③当

?
2

? 1 ,即 ? ? 2 时, g ?t ?min ? g ?1? ? ?2 ,解得 ? ? 4

综上所述, ? ? 4
30 . (江苏省诚贤中学 2014 届高三上学期第一次月考数学试题) (本小题满分

16 分)已知函数

f ? x ? ? log 2 ? 4 x ? 1? ? kx, ? k ? R ? 是偶函数.

(1)求 k 的值;
4 ? ? (2)设函数 g ? x ? ? log 2 ? a ? 2 x ? a ? ,其中 a ? 0. 若函数 f ? x ? 与 g ? x ? 的图象有且只有一 3 ? ?

个交点,求 a 的取值范围. 【答案】解: (1)∵ f ( x) ? log2 (4x ? 1) ? kx (k ? R) 是偶函数, ∴ f (? x) ? log2 (4? x ?1) ? kx ? f ( x) 对任意 x ? R ,恒成立 2分 即: log2 (4x ?1) ? 2x ? kx ? log2 (4x ?1) ? kx 恒成立,∴ k ? ?1 5分 4 4 (2)由于 a ? 0 ,所以 g ( x) ? log 2 (a ? 2 x ? a) 定义域为 (log 2 , ?? ) , 3 3 4 也就是满足 2 x ? 7分 3 ∵函数 f ( x) 与 g ( x) 的图象有且只有一个交点,
4 4 ∴方程 log 2 (4 x ? 1) ? x ? log 2 ( a ? 2 x ? a) 在 (log 2 , ?? ) 上只有一解 3 3

即:方程

4 4x ? 1 4 ? a ? 2 x ? a 在 (log 2 , ?? ) 上只有一解 x 3 2 3
4 ,因而等价于关于 t 的方程 3

9分

令 2x ? t, 则 t ?

Accor ding to Office Party of mass line education pra ctice a ctivities le d group of unifie d arrangement s, units main le d to for cadre s workers S hang a times party lecture , due to himse lf level limited, only put this stage concentrated le arning of experience today and everyone common wit h learni ng excha nge, purpose is let we furt her de ep understanding mass li ne of connotation, i nsisted party of mass line, do masses w ork, following main from four a a spe cts tol d: a, a nd full aware nes s party of mass li ne educati on pra ctice a ctivities of major mea ning Party's 18 major distinct proposed to focus on the party's a dvanced nature a nd purity, i n the party, with "pr agmati c and clea n for the people" as the main content of the party's mass line and educational pra ctice . 准 标 收 验 到 达 中 程 过 在 措 染 污 尘 扬 制 控 与 护 保 境 环 效 取 采 排 动 劳 洁 整 容 通 畅 路 道 序 有 存 备 设 、 料 材 理 合 置 布 场 现 ”。 板 样 全 “安 建 创 , 求 要 范 规 的 地 工 施 明 文 于 关 市 州 兰 照 按 格 严

This is comrade XI Jinping a s party Ge neral Secretary a nd a dher e to strictly admi nistering t he part y, strengt hen the party's major de cision is i n line wit h the publ ic expe ctations and strengt heni ng the construction of learni ng-oriente d service innovation of Marxist party's maj or de ployme nt, is the important meas ure to adva nce the great ca use of s ocial ism with Chinese characteri stics . First, carry out

the party's mass li ne in e ducation practi ce, wa s carryi ng 18 of the party spirit, s ummon a pow erful force for realizi ng the great rej uvenati on of the Chi nese nation the Chinese dre am of urgent nee ds . Party's 18 to promote strategi c de ployment to buildi ng socialism wit h Chi nese chara cteristics, pre s ents two 10 0-year goal, namel y, by 20 20 China's gr oss domesti c product and per capita income of urba n and rural resi dents i n 201 0 on t he ba sis of double complete the buildi ng of a well -off soci ety; the middle of this ce ntury int o a prosperous, dem ocratic, civilize d and harm oni ous S ociali st moder n country, and on t his ba sis, t he Chines e dream of realizi ng the great rej uvenati on of the Chi nese nation. 18 Congre ss of the party, Comrade XI Jinping re peatedly ex pounded the Chi nese dream. The basi c connotation of the Chinese dre am, is the national prosperit y, nati onal revitalizati on, the ha ppiness of the pe ople , Chi na important to follow is to kee p Chi na Road, carry forward t he s pirit and cohesi on stre ngth of China , dream dreams of the pe opl e of Chi na, but determi ned confidence, e nha nce self-aware ness, a chi eve self-relia nce, to buil d a stronger Chi na, civi lization, harmony, bea uty, Chi na, China, Chi na. Strategic concepti on of China wa s 18 the spirit of the enri chme nt and development of the party, conscienti ously st udy the Chi nes e dream, lea ding people to har d to realize t he Chines e dream, mass e ducation activitie s in de pth t he fundamental starting point a nd e ndi ng point. Strengt hen t he educati on of the party's mass li ne, helps t o train the colle ctive cons cious ness of the unity of the party a nd the people, playing the Chi nese dream ide ologi cal ba ses. Comrade M ao Zedong stre ssed t hat parties should have "common lang uage" socialist countri es must have "unity of will". Hist ory has

confere nces , learne d superi ors policie s; reports, you ca n learn t o deal wit h problems, art, j ust wante d to lear n, to lear n at any time. To continuously expa nd the scope of the study. T he complexity and comprehensive nes s of our w ork, deci ded to not only do we want to be "profes sionals", or if "generalists", to dabble i n different areas of knowle dge. Mastery of knowle dge not only t o hav e knowle dge to rational analys is. T his on requirements w e, not only to le arning national of route , and approach, a nd policy, als o t o lear ning national of legal, and regulati ons ; not only to wit h political t heory armed mind, al so to wit h economic the ory gui de work ; not only to rea d hist ory, al so to rea d hist ory; not only to a bs orpti on SM of mirror, also t o gets is of roa d; not only t o from local lear n, als o to to outsi de learn; not only to t o books lear n, als o to field st udy lear n. Therefore, I would e ncourage you, and more to the out side w orld w hen I have time to take a look at, take a stroll, outside devel opme nts, learn other peopl e's development a pproach, and the n come back to g uide our w ork. Second, we must think. " Learni ng without thoug ht to overs hadow, t hinki ng without learni ng is per ilous." We wa nt to foster the character of advancing wit h the times, forge ahead, often reflect thems elves in a dapti ng to the new sit uation on w hether there are delays, have a nythi ng to fear in the reform and innovation, whether i n terms of accelerating the devel opment of a relaxation, keep promisi ng State of mind. I n or der to do investigations, i nve stigations is the r oad to heaven, God dis poses of the base . To w ants to real heard trut h, and justice to tr uth, a nd get truth , receive d effectivenes s, on must in -depth a ctual , and outrea ch, a nd i n-dept h masse s, wors hip mas ses for Divisi on, a nd mas ses he art, with mass es with dis cus sion everyone care of probl em, listeni ng they of call s, under stand t hey of mood, feel they of s uffering, summary they of experience, conce ntrated they of wis dom, e spe cially on masse s most hope, a nd m ost urgent, a nd most worries , an d most compl aine d of hot, a nd difficulties a nd focus problem, more to a ctive resear ch, caught not put. Dare to i nnovate, in o ur work , often remain "the old way does n't work, t he ne w appr oach would not" situati on, t he reas on, the key is that many pe opl e kno w that copying other pe opl e's ide as, mechani call y, usi ng s omeone else' s old way s. To change thi s pre dicame nt, require s us t o break the sha ckles of traditional conce pts to ov ercome conservative, conformist, g ood at finding new pr oblem s and to accept new thi ngs, s ummarize ne w experie nce , new i deas, developi ng new programmes and Maverick, a new a pproach to solv e problems, s pee d up devel opment . Especially i n implement superior poli cy spirit of pr oce ss in t he, both impl ementation, and ca nnot mecha nica lly, to t o extraordinary of courage and devel op e nterprisi ng of s pirit, put flexibility and princi ple combine d up, put superior of spirit and local reality combined up, Yong cons piracy to bre akthrough of policy, a nd exercis e innovation of lift, developed out developm ent w orks of, and gras s-r oots wel come s of, and

4 4 (a ? 1)t 2 ? at ? 1 ? 0 (*)在 ( , ??) 上只有一解 3 3

10 分 11 分



3 4 当 a ? 1 时,解得 t ? ? ? ( , ??) ,不合题意; 4 3

4 2a 当 0 ? a ? 1 时,记 h(t ) ? (a ? 1)t 2 ? at ? 1 ,其图象的对称轴 t ? ?0 3 3(a ? 1)

4 ∴函数 h(t ) ? (a ? 1)t 2 ? at ? 1 在 (0, ??) 上递减,而 h(0) ? ?1 3
4 ∴方程(*)在 ( , ??) 无解 3

13 分



4 2a ?0 当 a ? 1 时,记 h(t ) ? (a ? 1)t 2 ? at ? 1 ,其图象的对称轴 t ? 3 3(a ? 1)

4 16 16 所以,只需 h( ) ? 0 ,即 (a ? 1) ? a ? 1 ? 0 ,此恒成立 3 9 9

∴此时 a 的范围为 a ? 1 综上所述,所求 a 的取值范围为 a ? 1

15 分 16 分
1 ,4] 16

31. (江苏省涟水中学 2014 届高三上学期 (10 月) 第一次统测数学(理)试卷) 已知函数 f ( x) ? log4 x, x ? [

的值域为集合 A ,关于 x 的不等式 ( ) 3 x?a ? 2 x (a ? R) 的解集为 B ,集合 C ? {x |

1 2

5? x ? 0} ,集合 x ?1

D ? {x | m ? 1 ? x ? 2m ? 1} ( m ? 0)
(1)若 A ? B ? B ,求实数 a 的取值范围; (2)若 D ? C ,求实数 m 的取值范围.
【答案】解:(1)因为 4 ? 1 ,所以 f ( x ) 在 [

1 ,4] 上,单调递增, 16

所以 A ? [ f ( 又由 ( )

1 ), f (4)] ? [?2,1] , 16

1 2

3x?a

? 2 x ( a ? R ) 可得: 2 ? (3 x ? a ) ? 2 x 即: ? 3 x ? a ? x ,所以 x ? ?

a , 4

所以 B ? ( ?? ,? ) , 又 A ? B ? B 所以可得: A ? B ,

a 4

a ? 1 ,所以 a ? ?4 即实数 a 的取值范围为 (??,?4) 4 5? x x?5 ? 0 ,所以有 ? 0 ,,所以 C ? (?1,5] , (2)因为 x ?1 x ?1
所以 ? 对于集合 D ? {x | m ? 1 ? x ? 2m ? 1} ? C 有: ①当 m ? 1 ? 2m ? 1 时,即 0 ? m ? 2 时 D ? ? ,满足 D ? C
Accor ding to Office Party of mass line education pra ctice a ctivities le d group of unifie d arrangement s, units main le d to for cadre s workers S hang a times party lecture , due to himse lf level limited, only put thi s stage concentrated lear ning of experience today and everyone common wit h learni ng excha nge, purpose is let we furt her de ep understanding mass li ne of connotation, insisted party of mass line, do masses w ork, following main from four a a spe cts tol d: a, a nd full aware nes s party of mass line education pra ctice a ctivities of major mea ning Party's 18 major distinct proposed to focus on the party's a dvanced nature and purity, i n the party, with "pragmati c and clea n for the pe opl e" as the main content of the party's mass line and educational pra ctice . 准 标 收 验 到 达 中 程 过 在 措 染 污 尘 扬 制 控 与 护 保 境 环 效 取 采 排 动 劳 洁 整 容 通 畅 路 道 序 有 存 备 设 、 料 材 理 合 置 布 场 现 ”。 板 样 全 “安 建 创 , 求 要 范 规 的 地 工 施 明 文 于 关 市 州 兰 照 按 格 严 This is comrade XI Jinping a s party Ge neral Secretary a nd a dhere t o strictly admi nistering t he party, strengthen the party's major de cision is i n line wit h the publ ic expe ctations and strengt heni ng the construction of learni ng-oriente d service innovation of Marxist party's maj or de ployme nt, is the important meas ure to adva nce t he great ca use of s ociali sm with Chine se characteri stics. First, carry out the party's mass li ne in e ducation practi ce, wa s carrying 18 of the party spirit, s ummon a powerf ul force for realizi ng the great rejuv enation of t he Chi nese nation t he Chine se dream of urge nt nee ds. Party's 18 to pr omote strategic depl oyment to buil ding s oci alism with Chi nese characteri stics , pres ents two 10 0-year goal, namel y, by 20 20 China's gr oss domesti c product and per capita income of urba n and rural residents i n 2010 on the basi s of double complete the buil ding of a well-off society; t he middle of thi s cent ury into a pros perous, democratic, civilized a nd harmonious Socialist moder n country, and on t his ba sis, t he Chines e dream of realizi ng the great rejuv enation of the Chi nese nation. 18 Congre ss of the party, Comrade XI Jinpi ng repeate dly expounde d the Chinese dre am. The basic connotation of the Chines e dream, is t he nati onal pros perity, national revitalization, the happiness of the pe ople , Chi na important to follow is to kee p Chi na Road, carry forward t he spir it and cohesi on stre ngth of China, dream dreams of the pe ople of Chi na, but determine d confide nce, enhance self-a warene ss, a chieve self-relia nce, t o build a stronger China , civilizati on, harmony, bea uty, Chi na, China, Chi na. Strategic concepti on of China wa s 18 the spirit of the enri chme nt and development of the party, conscienti ously st udy the Chi nes e dream, lea ding people to har d to realize t he Chines e dream, mass e ducation activitie s in de pth t he fundamental starting point a nd e ndi ng point. Strengt hen t he educati on of the party's mass li ne, helps t o train the colle ctive cons cious ness of the unity of the party a nd the people, playing the Chi nese dream ide ologi cal ba ses. Comrade M ao Zedong stre ssed t hat parties should have "common lang uage" socialist countri es must have "unity of will". Hist ory has

confere nces , learne d s uperi ors polici es; re ports, y ou can lear n to deal with problems, art, j ust wante d to lear n, to lear n at any time. To continuously expa nd t he s cope of the st udy. The complexity and com prehe nsive nes s of our w ork, deci ded to not only do we wa nt to be "professi onal s", or if "generalists", to dabble in different ar eas of knowle dge. Mastery of knowle dge not only to have k nowl edge to rational a nalysis . Thi s on re quireme nts we, not only to le arning national of route, and approa ch, a nd poli cy, also t o learni ng nati onal of legal, and regulations ; not only to with politica l theor y armed mind, al so to w ith economic t heory guide w ork; not only to read histor y, als o to read history ; not only t o abs orpti on SM of mirror, als o to gets is of road; not only to from l ocal lear n, als o to to outsi de lear n; not only to to book s learn, also t o field st udy lear n. Therefore, I would e ncourage you, and more to t he outside worl d whe n I hav e time to take a look at, take a stroll, outsi de de vel opme nts, lear n other pe ople' s devel opme nt approa ch, a nd then come back to g uide our w ork. Second, we mu st think . "Learning without t hought to ov ersha dow, thi nking without learni ng is perilous." We w ant to foster t he character of a dvancing wit h the times, forge a head, often reflect t hemselves i n ada pting to t he new situati on on w hether there are delays, have anyt hing to fear in t he reform and innovation, w hether i n terms of accelerating t he development of a relaxation, keep promisi ng State of mind. I n or der to do inve stigations, investigations i s the roa d to heaven, God di sposes of the ba se. To want s to real he ard trut h, and justice to tr uth, a nd get trut h, received effectiveness, on must in -de pth a ctual, a nd outrea ch, a nd i n-de pth masse s, w orshi p masses for Divisi on, and masses heart, wit h masse s with discus sion everyone care of problem, liste ning they of calls, understa nd they of mood, feel they of s uffering, s ummary they of experie nce , concentrated they of wis dom, es pe cially on m asse s most hope , and most urge nt, and most w orries, and most com plaine d of hot, and difficulties and focus probl em, more to a ctive resear ch, caught not put. Dar e to innovate, i n our work, often remain "the old way doe sn't work , the new approa ch w oul d not" situation, the reason, the key is that many people know that copying other pe opl e's ide as, mechani call y, usi ng s omeone else' s old way s. To change thi s pre dicame nt, require s us t o break the sha ckles of traditional conce pts to ov ercome conservative, conformist, g ood at finding new pr oblem s and to accept new thi ngs, s ummarize ne w experie nce , new i deas, developi ng new programmes and Maverick, a new a pproach to solv e problems, s pee d up devel opment . Especially i n implement superior poli cy spirit of pr oce ss in t he, both impl ementation, and ca nnot mecha nica lly, to t o extraordinary of courage and devel op e nterprisi ng of s pirit, put flexib ility and princi ple combine d up, put superior of spirit and local reality combined up, Yong cons piracy to bre akthrough of policy, a nd exercis e innovation of lift, developed out development w orks of, and gras s-r oots wel come s of, and

②当 m ? 1 ? 2m ? 1 时,即 m ? 2 时 D ? ? ,所以有:

?m ? 1 ? ?1 ? ?2 ? m ? 3 ,又因为 m ? 2 ,所以 ? 2 ? m ? 3 ? ?2m ? 1 ? 5
综上:由①②可得:实数 m 的取值范围为 (0,3]
32. (江苏省诚贤中学 2014 届高三上学期第一次月考数学试题)已知定义在

1 R 上的函数 f(x)=2x-2|x|.

3 (1)若 f(x)=2,求 x 的值; (2)若 2tf(2t)+mf(t)≥0 对于 t∈[1,2]恒成立,求实数 m 的取值范围.
【答案】解

(1)当 x<0 时, f(x)=0,无解;

1 当 x≥0 时,f(x)=2x-2x, 1 3 由 2x-2x=2,得 2· 22x-3· 2x-2=0, 1 看成关于 2x 的一元二次方程,解得 2x=2 或-2, ∵2x>0,∴x=1. 1? 1? ? ? (2)当 t∈[1,2]时,2t?22t-22t?+m?2t-2t?≥0, ? ? ? ? 即 m(22t-1)≥-(24t-1), ∵22t-1>0,∴m≥-(22t+1), ∵t∈[1,2],∴-(22t+1)∈[-17,-5], 故 m 的取值范围是[-5,+∞).
33. (江苏省诚贤中学 2014 届高三上学期第一次月考数学试题)已知函数

f ? x ? ? lg ?1? x ? ? lg ?1? x ? .

(1)判断并证明 f ? x ? 的奇偶性;
? a?b ? (2)求证: f ? a ? ? f ? b ? ? f ? ?; ? 1 ? ab ? ? a?b ? (3)已知 a, b ? ? ?1,1? ,且 f ? ? ? 1, ? 1 ? ab ?
【答案】 (1)

? a ?b ? f? ? ? 2 ,求 f ? a ? , f ?b ? 的值. ? 1 ? ab ?

f ? x ? 为奇函数.因为 x ? 1 ? 0,1 ? x ? 0, 所以 ?1 ? x ? 1 ,定义域为 ? ?1,1? ,所

以定义域关于原点对称,又 f ? ? x ? ? lg ?1 ? x ? ? lg ?1 ? x ? ? ? ? ?lg ?1 ? x ? ? lg ?1 ? x ? ? ? ? ? f ? x? , 所以 f ? x ? 为奇函数.
Accor ding to Office Party of mass line education pra ctice a ctivities le d group of unifie d arrangement s, units main le d to for cadre s workers S hang a times party lecture , due to himse lf level limited, only put this stage concentrated le arning of experience today and everyone common wit h learni ng excha nge, purpose is let we furt her de ep understanding mass li ne of connotation, i nsisted party of mass line, do masses w ork, following main from four a a spe cts tol d: a, a nd full aware nes s party of mass li ne educati on pra ctice a ctivities of major mea ning Party's 18 major distinct proposed to focus on the party's a dvanced nature a nd purity, i n the party, with "pr agmati c and clea n for the people" as the main content of the party's mass line and educational pra ctice . 准 标 收 验 到 达 中 程 过 在 措 染 污 尘 扬 制 控 与 护 保 境 环 效 取 采 排 动 劳 洁 整 容 通 畅 路 道 序 有 存 备 设 、 料 材 理 合 置 布 场 现 ”。 板 样 全 “安 建 创 , 求 要 范 规 的 地 工 施 明 文 于 关 市 州 兰 照 按 格 严 This is comrade XI Jinping a s party Ge neral Secretary a nd a dher e to strictly admi nistering t he part y, strengt hen the party's major de cision is i n line wit h the publ ic expe ctations and strengt heni ng the construction of learni ng-oriente d service innovation of Marxist party's maj or de ployme nt, is the important meas ure to adva nce the great ca use of s ocial ism with Chinese characteri stics . First, carry out the party's mass li ne in e ducation practi ce, wa s carryi ng 18 of the party spirit, s ummon a pow erful force for realizi ng the great rej uvenati on of the Chi nese nation the Chinese dre am of urgent nee ds . Party's 18 to promote strategi c de ployment to buildi ng socialism wit h Chi nese chara cteristics, pre s ents two 10 0-year goal, namel y, by 20 20 China's gr oss domesti c product and per capita income of urba n and rural resi dents i n 201 0 on t he ba sis of double complete the buildi ng of a well -off soci ety; the middle of this ce ntury int o a prosperous, dem ocratic, civilize d and harm oni ous S ociali st moder n country, and on t his ba sis, t he Chines e dream of realizi ng the great rej uvenati on of the Chi nese nation. 18 Congre ss of the party, Comrade XI Jinping re peatedly ex pounded the Chi nese dream. The basi c connotation of the Chinese dre am, is the national prosperit y, nati onal revitalizati on, the ha ppiness of the pe ople , Chi na important to follow is to kee p Chi na Road, carry forward t he s pirit and cohesi on stre ngth of China , dream dreams of the pe opl e of Chi na, but determi ned confidence, e nha nce self-aware ness, a chi eve self-relia nce, to buil d a stronger Chi na, civi lization, harmony, bea uty, Chi na, China, Chi na. Strategic concepti on of China wa s 18 the spirit of the enri chme nt and development of the party, conscienti ously st udy the Chi nes e dream, lea ding people to har d to realize t he Chines e dream, mass e ducation activitie s in de pth t he fundamental starting point a nd e ndi ng point. Strengt hen t he educati on of the party's mass li ne, helps t o train the colle ctive cons cious ness of the unity of the party a nd the people, playing the Chi nese dream ide ologi cal ba ses. Comrade M ao Zedong stre ssed t hat parties should have "common lang uage" socialist countri es must have "unity of will". Hist ory has

confere nces , learne d superi ors policie s; reports, you ca n learn t o deal wit h problems, art, j ust wante d to lear n, to lear n at any time. To continuously expa nd the scope of the study. T he complexity and comprehensive nes s of our w ork, deci ded to not only do we want to be "profes sionals", or if "generalists", to dabble i n different areas of knowle dge. Mastery of knowle dge not only t o hav e knowle dge to rational analys is. T his on requirements w e, not only to le arning national of route , and approach, a nd policy, als o t o lear ning national of legal, and regulati ons ; not only to wit h political t heory armed mind, al so to wit h economic the ory gui de work ; not only to rea d hist ory, al so to rea d hist ory; not only to a bs orpti on SM of mirror, also t o gets is of roa d; not only t o from local lear n, als o to to outsi de learn; not only to t o books lear n, als o to field st udy lear n. Therefore, I would e ncourage you, and more to the out side w orld w hen I have time to take a look at, take a stroll, outside devel opme nts, learn other peopl e's development a pproach, and the n come back to g uide our w ork. Second, we must think. " Learni ng without thoug ht to overs hadow, t hinki ng without learni ng is per ilous." We wa nt to foster the character of advancing wit h the times, forge ahead, often reflect thems elves in a dapti ng to the new sit uation on w hether there are delays, have a nythi ng to fear in the reform and innovation, whether i n terms of accelerating the devel opment of a relaxation, keep promisi ng State of mind. I n or der to do investigations, i nve stigations is the r oad to heaven, God dis poses of the base . To w ants to real heard trut h, and justice to tr uth, a nd get truth , receive d effectivenes s, on must in -depth a ctual , and outrea ch, a nd i n-dept h masse s, wors hip mas ses for Divisi on, a nd mas ses he art, with mass es with dis cus sion everyone care of probl em, listeni ng they of call s, under stand t hey of mood, feel they of s uffering, summary they of experience, conce ntrated they of wis dom, e spe cially on masse s most hope, a nd m ost urgent, a nd most worries , an d most compl aine d of hot, a nd difficulties a nd focus problem, more to a ctive resear ch, caught not put. Dare to i nnovate, in o ur work , often remain "the old way does n't work, t he ne w appr oach would not" situati on, t he reas on, the key is that many pe opl e kno w that copying other pe opl e's ide as, mechani call y, usi ng s omeone else' s old way s. To change thi s pre dicame nt, require s us t o break the sha ckles of traditional conce pts to ov ercome conservative, conformist, g ood at finding new pr oblem s and to accept new thi ngs, s ummarize ne w experie nce , new i deas, developi ng new programmes and Maverick, a new a pproach to solv e problems, s pee d up devel opment . Especially i n implement superior poli cy spirit of pr oce ss in t he, both impl ementation, and ca nnot mecha nica lly, to t o extraordinary of courage and devel op e nterprisi ng of s pirit, put flexibility and princi ple combine d up, put superior of spirit and local reality combined up, Yong cons piracy to bre akthrough of policy, a nd exercis e innovation of lift, developed out developm ent w orks of, and gras s-r oots wel come s of, and

(2)因为 f ? a ? ? f ? b ? ? lg

1? a 1? b 1 ? a ? b ? ab ? lg ? lg , 1? a 1? b 1 ? a ? b ? ab

a?b ? a?b ? 1 ? ab ? lg 1 ? a ? b ? ab ,所以 f ? a ? ? f ? b ? ? f ? a ? b ? . f? ? ? lg ? ? a?b 1 ? a ? b ? ab ? 1 ? ab ? ? 1 ? ab ? 1? 1 ? ab 1?
? a?b ? (3)因为 f ? a ? ? f ? b ? ? f ? ? ,所以 f ? a ? ? f ?b? ? 1 ,又 f ? a ? ? f ? ?b? ? 2 ,所以 ? 1 ? ab ?

f ? a ? ? f ?b? ? 2 ,由此可得: f ? a ? ? , f ? b ? ? ? .
34. (江苏省诚贤中学 2014 届高三上学期第一次月考数学试题) 已知函数

3 2

1 2

x+1 f(x)=loga , (a>0, 且 a≠1). x-1

x+1 (1)求函数的定义域,并证明:f(x)=loga 在定义域上是奇函数; x-1 x+1 m (2)对于 x∈[2,4],f(x)=loga >loga 恒成立,求 m 的取值范围. x-1 ?x-1?2?7-x?
【答案】解

(1)由

x+1 >0,解得 x<-1 或 x>1, x-1

∴函数的定义域为(-∞,-1)∪(1,+∞). 当 x∈(-∞, -1)∪(1, +∞)时, f(-x)=loga =-f(x), ∴f(x)=loga x+1 在定义域上是奇函数. x-1 -x+1 x-1 x+1 ?x+1?-1 ? =-loga =loga =loga? -x-1 x+1 x-1 ?x-1?

x+1 m (2)由 x∈[2,4]时,f(x)=loga >loga 恒成立, x-1 ?x-1?2?7-x? ①当 a>1 时, ∴ x+1 m > >0 对 x∈[2,4]恒成立. x-1 ?x-1?2?7-x?

∴0<m<(x+1)(x-1)(7-x)在 x∈[2,4]恒成立. 设 g(x)=(x+1)(x-1)(7-x),x∈[2,4] 则 g(x)=-x3+7x2+x-7, ? 7? 52 g′(x)=-3x2+14x+1=-3?x-3?2+ 3 , ? ? ∴当 x∈[2,4]时,g′(x)>0. ∴y=g(x)在区间[2,4]上是增函数,g(x)min=g(2)=15.
Accor ding to Office Party of mass line education pra ctice a ctivities le d group of unifie d arrangement s, units main le d to for cadre s workers S hang a times party lecture , due to himse lf level limited, only put thi s stage concentrated lear ning of experience today and everyone common wit h learni ng excha nge, purpose is let we furt her de ep understanding mass li ne of connotation, insisted party of mass line, do masses w ork, following main from four a a spe cts tol d: a, a nd full aware nes s party of mass line education pra ctice a ctivities of major mea ning Party's 18 major distinct proposed to focus on the party's a dvanced nature and purity, i n the party, with "pragmati c and clea n for the pe opl e" as the main content of the party's mass line and educational pra ctice . 准 标 收 验 到 达 中 程 过 在 措 染 污 尘 扬 制 控 与 护 保 境 环 效 取 采 排 动 劳 洁 整 容 通 畅 路 道 序 有 存 备 设 、 料 材 理 合 置 布 场 现 ”。 板 样 全 “安 建 创 , 求 要 范 规 的 地 工 施 明 文 于 关 市 州 兰 照 按 格 严 This is comrade XI Jinping a s party Ge neral Secretary a nd a dhere t o strictly admi nistering t he party, strengthen the party's major de cision is i n line wit h the publ ic expe ctations and strengt heni ng the construction of learni ng-oriente d service innovation of Marxist party's maj or de ployme nt, is the important meas ure to adva nce t he great ca use of s ociali sm with Chine se characteri stics. First, carry out the party's mass li ne in e ducation practi ce, wa s carrying 18 of the party spirit, s ummon a powerf ul force for realizi ng the great rejuv enation of t he Chi nese nation t he Chine se dream of urge nt nee ds. Party's 18 to pr omote strategic depl oyment to buil ding s oci alism with Chi nese characteri stics , pres ents two 10 0-year goal, namel y, by 20 20 China's gr oss domesti c product and per capita income of urba n and rural residents i n 2010 on the basi s of double complete the buil ding of a well-off society; t he middle of thi s cent ury into a pros perous, democratic, civilized a nd harmonious Socialist moder n country, and on t his ba sis, t he Chines e dream of realizi ng the great rejuv enation of the Chi nese nation. 18 Congre ss of the party, Comrade XI Jinpi ng repeate dly expounde d the Chinese dre am. The basic connotation of the Chines e dream, is t he nati onal pros perity, national revitalization, the happiness of the pe ople , Chi na important to follow is to kee p Chi na Road, carry forward t he spir it and cohesi on stre ngth of China, dream dreams of the pe ople of Chi na, but determine d confide nce, enhance self-a warene ss, a chieve self-relia nce, t o build a stronger China , civilizati on, harmony, bea uty, Chi na, China, Chi na. Strategic concepti on of China wa s 18 the spirit of the enri chme nt and development of the party, conscienti ously st udy the Chi nes e dream, lea ding people to har d to realize t he Chines e dream, mass e ducation activitie s in de pth t he fundamental starting point a nd e ndi ng point. Strengt hen t he educati on of the party's mass li ne, helps t o train the colle ctive cons cious ness of the unity of the party a nd the people, playing the Chi nese dream ide ologi cal ba ses. Comrade M ao Zedong stre ssed t hat parties should have "common lang uage" socialist countri es must have "unity of will". Hist ory has

confere nces , learne d s uperi ors polici es; re ports, y ou can lear n to deal with problems, art, j ust wante d to lear n, to lear n at any time. To continuously expa nd t he s cope of the st udy. The complexity and com prehe nsive nes s of our w ork, deci ded to not only do we wa nt to be "professi onal s", or if "generalists", to dabble in different ar eas of knowle dge. Mastery of knowle dge not only to have k nowl edge to rational a nalysis . Thi s on re quireme nts we, not only to le arning national of route, and approa ch, a nd poli cy, also t o learni ng nati onal of legal, and regulations ; not only to with politica l theor y armed mind, al so to w ith economic t heory guide w ork; not only to read histor y, als o to read history ; not only t o abs orpti on SM of mirror, als o to gets is of road; not only to from l ocal lear n, als o to to outsi de lear n; not only to to book s learn, also t o field st udy lear n. Therefore, I would e ncourage you, and more to t he outside worl d whe n I hav e time to take a look at, take a stroll, outsi de de vel opme nts, lear n other pe ople' s devel opme nt approa ch, a nd then come back to g uide our w ork. Second, we mu st think . "Learning without t hought to ov ersha dow, thi nking without learni ng is perilous." We w ant to foster t he character of a dvancing wit h the times, forge a head, often reflect t hemselves i n ada pting to t he new situati on on w hether there are delays, have anyt hing to fear in t he reform and innovation, w hether i n terms of accelerating t he development of a relaxation, keep promisi ng State of mind. I n or der to do inve stigations, investigations i s the roa d to heaven, God di sposes of the ba se. To want s to real he ard trut h, and justice to tr uth, a nd get trut h, received effectiveness, on must in -de pth a ctual, a nd outrea ch, a nd i n-de pth masse s, w orshi p masses for Divisi on, and masses heart, wit h masse s with discus sion everyone care of problem, liste ning they of calls, understa nd they of mood, feel they of s uffering, s ummary they of experie nce , concentrated they of wis dom, es pe cially on m asse s most hope , and most urge nt, and most w orries, and most com plaine d of hot, and difficulties and focus probl em, more to a ctive resear ch, caught not put. Dar e to innovate, i n our work, often remain "the old way doe sn't work , the new approa ch w oul d not" situation, the reason, the key is that many people know that copying other pe opl e's ide as, mechani call y, usi ng s omeone else' s old way s. To change thi s pre dicame nt, require s us t o break the sha ckles of traditional conce pts to ov ercome conservative, conformist, g ood at finding new pr oblem s and to accept new thi ngs, s ummarize ne w experie nce , new i deas, developi ng new programmes and Maverick, a new a pproach to solv e problems, s pee d up devel opment . Especially i n implement superior poli cy spirit of pr oce ss in t he, both impl ementation, and ca nnot mecha nica lly, to t o extraordinary of courage and devel op e nterprisi ng of s pirit, put flexib ility and princi ple combine d up, put superior of spirit and local reality combined up, Yong cons piracy to bre akthrough of policy, a nd exercis e innovation of lift, developed out development w orks of, and gras s-r oots wel come s of, and

∴0<m<15. ②当 0<a<1 时, 由 x∈[2,4]时, f(x)=loga ∴ x+1 m >loga 恒成立, x-1 ?x-1?2?7-x?

x+1 m < 对 x∈[2,4]恒成立. x-1 ?x-1?2?7-x?

∴m>(x+1)(x-1)(7-x)在 x∈[2,4]恒成立. 设 g(x)=(x+1)(x-1)(7-x),x∈[2,4], 由①可知 y=g(x)在区间[2,4]上是增函数, g(x)max=g(4)=45,∴m>45. ∴m 的取值范围是(0,15)∪(45,+∞).
35. (江苏省丰县中学 2014 届高三 10 月阶段性测试数学(理)试题)已知 f(x)=loga

1-mx (a>0,a≠1)是奇函 x-1

数.(1)求 m 的值;(2)讨论 f(x)的单调性.
【答案】解 (1)∵f(x)是奇函数,
2 2

∴f(-x)+f(x)=loga
2 2

1+mx 1-mx 1-m x +loga =loga 2 =0 对定义域内的任意 x 恒成立, -x-1 x-1 1-x



1-m x 2 2 2 =1,∴(m -1)x =0,m=±1. 1-x

1-mx 当 m=1 时, =-1,函数无意义,∴m=-1. x-1 (2)定义法或导数法.其余无分
36. (江苏省启东市 2014 届高三上学期第一次检测数学试题) 设 A 是同时符合以下性质的函数 f ( x) 组成的集

合: ① ?x ? [0,??) ,都有 f ( x) ? (1,4] ;② f ( x) 在 [0,??) 上是减函数. (1)判断函数 f1 ( x) ? 2 ? x 和 f 2 ( x) ? 1 ? 3 ? ( ) x (x≥0)是否属于集合 A,并简要说明理由; (2)把(1)中你认为是集合 A 中的一个函数记为 g ( x) ,若不等式 g ( x) ? g ( x ? 2) ≤k 对任意的 x≥0 总 成立,求实数 k 的取值范围.
【答案】(1)∵

1 2

f1 ( x) ? 2 ? x 在时是减函数, f1 ( x) ? (??,2] ,

∴ f 1 ( x) 不在集合 A 中,

1 1 2 2 1 x 且 f 2 ( x) ? 1 ? 3 ? ( ) 在 [0,??) 上是减函数, 2

x x 又∵x≥0 时, 0 ? ( ) ≤1, 1 ? 1 ? 3 ? ( ) ≤4,∴ f 2 ( x) ? (1,4] ,

Accor ding to Office Party of mass line education pra ctice a ctivities le d group of unifie d arrangement s, units main le d to for cadre s workers S hang a times party lecture , due to himse lf level limited, only put this stage concentrated le arning of experience today and everyone common wit h learni ng excha nge, purpose is let we furt her de ep understanding mass li ne of connotation, i nsisted party of mass line, do masses w ork, following main from four a a spe cts tol d: a, a nd full aware nes s party of mass li ne educati on pra ctice a ctivities of major mea ning Party's 18 major distinct proposed to focus on the party's a dvanced nature a nd purity, i n the party, with "pr agmati c and clea n for the people" as the main content of the party's mass line and educational pra ctice . 准 标 收 验 到 达 中 程 过 在 措 染 污 尘 扬 制 控 与 护 保 境 环 效 取 采 排 动 劳 洁 整 容 通 畅 路 道 序 有 存 备 设 、 料 材 理 合 置 布 场 现 ”。 板 样 全 “安 建 创 , 求 要 范 规 的 地 工 施 明 文 于 关 市 州 兰 照 按 格 严

This is comrade XI Jinping a s party Ge neral Secretary a nd a dher e to strictly admi nistering t he part y, strengt hen the party's major de cision is i n line wit h the publ ic expe ctations and strengt heni ng the construction of learni ng-oriente d service innovation of Marxist party's maj or de ployme nt, is the important meas ure to adva nce the great ca use of s ocial ism with Chinese characteri stics . First, carry out

the party's mass li ne in e ducation practi ce, wa s carryi ng 18 of the party spirit, s ummon a pow erful force for realizi ng the great rej uvenati on of the Chi nese nation the Chinese dre am of urgent nee ds . Party's 18 to promote strategi c de ployment to buildi ng socialism wit h Chi nese chara cteristics, pre s ents two 10 0-year goal, namel y, by 20 20 China's gr oss domesti c product and per capita income of urba n and rural resi dents i n 201 0 on t he ba sis of double complete the buildi ng of a well -off soci ety; the middle of this ce ntury int o a prosperous, dem ocratic, civilize d and harm oni ous S ociali st moder n country, and on t his ba sis, t he Chines e dream of realizi ng the great rej uvenati on of the Chi nese nation. 18 Congre ss of the party, Comrade XI Jinping re peatedly ex pounded the Chi nese dream. The basi c connotation of the Chinese dre am, is the national prosperit y, nati onal revitalizati on, the ha ppiness of the pe ople , Chi na important to follow is to kee p Chi na Road, carry forward t he s pirit and cohesi on stre ngth of China , dream dreams of the pe opl e of Chi na, but determi ned confidence, e nha nce self-aware ness, a chi eve self-relia nce, to buil d a stronger Chi na, civi lization, harmony, bea uty, Chi na, China, Chi na. Strategic concepti on of China wa s 18 the spirit of the enri chme nt and development of the party, conscienti ously st udy the Chi nes e dream, lea ding people to har d to realize t he Chines e dream, mass e ducation activitie s in de pth t he fundamental starting point a nd e ndi ng point. Strengt hen t he educati on of the party's mass li ne, helps t o train the colle ctive cons cious ness of the unity of the party a nd the people, playing the Chi nese dream ide ologi cal ba ses. Comrade M ao Zedong stre ssed t hat parties should have "common lang uage" socialist countri es must have "unity of will". Hist ory has

confere nces , learne d superi ors policie s; reports, you ca n learn t o deal wit h problems, art, j ust wante d to lear n, to lear n at any time. To continuously expa nd the scope of the study. T he complexity and comprehensive nes s of our w ork, deci ded to not only do we want to be "profes sionals", or if "generalists", to dabble i n different areas of knowle dge. Mastery of knowle dge not only t o hav e knowle dge to rational analys is. T his on requirements w e, not only to le arning national of route , and approach, a nd policy, als o t o lear ning national of legal, and regulati ons ; not only to wit h political t heory armed mind, al so to wit h economic the ory gui de work ; not only to rea d hist ory, al so to rea d hist ory; not only to a bs orpti on SM of mirror, also t o gets is of roa d; not only t o from local lear n, als o to to outsi de learn; not only to t o books lear n, als o to field st udy lear n. Therefore, I would e ncourage you, and more to the out side w orld w hen I have time to take a look at, take a stroll, outside devel opme nts, learn other peopl e's development a pproach, and the n come back to g uide our w ork. Second, we must think. " Learni ng without thoug ht to overs hadow, t hinki ng without learni ng is per ilous." We wa nt to foster the character of advancing wit h the times, forge ahead, often reflect thems elves in a dapti ng to the new sit uation on w hether there are delays, have a nythi ng to fear in the reform and innovation, whether i n terms of accelerating the devel opment of a relaxation, keep promisi ng State of mind. I n or der to do investigations, i nve stigations is the r oad to heaven, God dis poses of the base . To w ants to real heard trut h, and justice to tr uth, a nd get truth , receive d effectivenes s, on must in -depth a ctual , and outrea ch, a nd i n-dept h masse s, wors hip mas ses for Divisi on, a nd mas ses he art, with mass es with dis cus sion everyone care of probl em, listeni ng they of call s, under stand t hey of mood, feel they of s uffering, summary they of experience, conce ntrated they of wis dom, e spe cially on masse s most hope, a nd m ost urgent, a nd most worries , an d most compl aine d of hot, a nd difficulties a nd focus problem, more to a ctive resear ch, caught not put. Dare to i nnovate, in o ur work , often remain "the old way does n't work, t he ne w appr oach would not" situati on, t he reas on, the key is that many pe opl e kno w that copying other pe opl e's ide as, mechani call y, usi ng s omeone else' s old way s. To change thi s pre dicame nt, require s us t o break the sha ckles of traditional conce pts to ov ercome conservative, conformist, g ood at finding new pr oblem s and to accept new thi ngs, s ummarize ne w experie nce , new i deas, developi ng new programmes and Maverick, a new a pproach to solv e problems, s pee d up devel opment . Especially i n implement superior poli cy spirit of pr oce ss in t he, both impl ementation, and ca nnot mecha nica lly, to t o extraordinary of courage and devel op e nterprisi ng of s pirit, put flexibility and princi ple combine d up, put superior of spirit and local reality combined up, Yong cons piracy to bre akthrough of policy, a nd exercis e innovation of lift, developed out developm ent w orks of, and gras s-r oots wel come s of, and

∴ f 2 ( x) ? 1 ? 3 ? ( ) x 在集合 A 中

1 2

1 2 1 1 15 1 g ( x) ? g ( x ? 2) ? [1 ? 3 ? ( ) x ] ? [1 ? 3 ? ( ) x ? 2 ] ? 2 ? ( ) x , 2 2 4 2 23 在[0,+∞)上是减函数, [ g ( x) ? g ( x ? 2)] max ? , 4
(2) g ( x) = f 2 ( x) ? 1 ? 3 ? ( ) x , 又由已知 g ( x) ? g ( x ? 2) ≤k 对任意的 x≥0 总成立, ∴k ≥

23 23 ,因此所求的实数 k 的取值范围是 [ ,?? ) 4 4

37. (江苏省徐州市诚贤中学 2014 届高三 8 月月考数学试题)已知函数 f ? x ? ? log 2 4 ? 1 ? kx, ? k ? R ? 是
x

?

?

偶函数. (1)求 k 的值; (2)设函数 g ? x ? ? log2 ? a ? 2 ?
x

? ?

4 ? a ? ,其中 a ? 0. 若函数 f ? x ? 与 g ? x ? 的图象有且只有一个交点,求 3 ?

a 的取值范围.
【答案】解:(1)∵

f ( x) ? log2 (4x ? 1) ? kx (k ? R) 是偶函数,

∴ f (? x) ? log2 (4? x ? 1) ? kx ? f ( x) 对任意 x ? R ,恒成立 即: log2 (4x ?1) ? 2x ? kx ? log2 (4x ?1) ? kx 恒成立,∴ k ? ?1
x (2)由于 a ? 0 ,所以 g ( x) ? log 2 (a ? 2 ?

4 4 a) 定义域为 (log 2 , ?? ) , 3 3

也就是满足 2 ?
x

4 3

∵函数 f ( x ) 与 g ( x) 的图象有且只有一个交点, ∴方程 log 2 (4 ? 1) ? x ? log 2 ( a ? 2 ?
x x

4 4 a) 在 (log 2 , ?? ) 上只有一解 3 3

4 4x ? 1 4 ? a ? 2 x ? a 在 (log 2 , ?? ) 上只有一解 即:方程 x 3 2 3
4 ,因而等价于关于 t 的方程 3 4 4 (a ? 1)t 2 ? at ? 1 ? 0 (*)在 ( , ??) 上只有一解 3 3 3 4 ① 当 a ? 1 时,解得 t ? ? ? ( , ??) ,不合题意; 4 3
x 令 2 ? t, 则 t ?

② 当 0 ? a ? 1 时,记 h(t ) ? (a ? 1)t ?
2

4 2a at ? 1 ,其图象的对称轴 t ? ?0 3 3(a ? 1)
This is comrade XI Jinping a s party Ge neral Secretary a nd a dhere t o strictly admi nistering t he party, strengthen the party's major de cision is i n line wit h the publ ic expe ctations and strengt heni ng the construction of learni ng-oriente d service innovation of Marxist party's maj or de ployme nt, is the important meas ure to adva nce t he great ca use of s ociali sm with Chine se characteri stics. First, carry out

Accor ding to Office Party of mass line education pra ctice a ctivities le d group of unifie d arrangement s, units main le d to for cadre s workers S hang a times party lecture , due to himse lf level limited, only put thi s stage concentrated lear ning of experience today and everyone common wit h learni ng excha nge, purpose is let we furt her de ep understanding mass li ne of connotation, insisted party of mass line, do masses w ork, following main from four a a spe cts tol d: a, a nd full aware nes s party of mass line education pra ctice a ctivities of major mea ning Party's 18 major distinct proposed to focus on the party's a dvanced nature and purity, i n the party, with "pragmati c and clea n for the pe opl e" as the main content of the party's mass line and educational pra ctice . 准 标 收 验 到 达 中 程 过 在 措 染 污 尘 扬 制 控 与 护 保 境 环 效 取 采 排 动 劳 洁 整 容 通 畅 路 道 序 有 存 备 设 、 料 材 理 合 置 布 场 现 ”。 板 样 全 “安 建 创 , 求 要 范 规 的 地 工 施 明 文 于 关 市 州 兰 照 按 格 严

the party's mass li ne in e ducation practi ce, wa s carrying 18 of the party spirit, s ummon a powerf ul force for realizi ng the great rejuv enation of t he Chi nese nation t he Chine se dream of urge nt nee ds. Party's 18 to pr omote strategic depl oyment to buil ding s oci alism with Chi nese characteri stics , pres ents two 10 0-year goal, namel y, by 20 20 China's gr oss domesti c product and per capita income of urba n and rural residents i n 2010 on the basi s of double complete the buil ding of a well-off society; t he middle of thi s cent ury into a pros perous, democratic, civilized a nd harmonious Socialist moder n country, and on t his ba sis, t he Chines e dream of realizi ng the great rejuv enation of the Chi nese nation. 18 Congre ss of the party, Comrade XI Jinpi ng repeate dly expounde d the Chinese dre am. The basic connotation of the Chines e dream, is t he nati onal pros perity, national revitalization, the happiness of the pe ople , Chi na important to follow is to kee p Chi na Road, carry forward t he spir it and cohesi on stre ngth of China, dream dreams of the pe ople of Chi na, but determine d confide nce, enhance self-a warene ss, a chieve self-relia nce, t o build a stronger China , civilizati on, harmony, bea uty, Chi na, China, Chi na. Strategic concepti on of China wa s 18 the spirit of the enri chme nt and development of the party, conscienti ously st udy the Chi nes e dream, lea ding people to har d to realize t he Chines e dream, mass e ducation activitie s in de pth t he fundamental starting point a nd e ndi ng point. Strengt hen t he educati on of the party's mass li ne, helps t o train the colle ctive cons cious ness of the unity of the party a nd the people, playing the Chi nese dream ide ologi cal ba ses. Comrade M ao Zedong stre ssed t hat parties should have "common lang uage" socialist countri es must have "unity of will". Hist ory has

confere nces , learne d s uperi ors polici es; re ports, y ou can lear n to deal with problems, art, j ust wante d to lear n, to lear n at any time. To continuously expa nd t he s cope of the st udy. The complexity and com prehe nsive nes s of our w ork, deci ded to not only do we wa nt to be "professi onal s", or if "generalists", to dabble in different ar eas of knowle dge. Mastery of knowle dge not only to have k nowl edge to rational a nalysis . Thi s on re quireme nts we, not only to le arning national of route, and approa ch, a nd poli cy, also t o learni ng nati onal of legal, and regulations ; not only to with politica l theor y armed mind, al so to w ith economic t heory guide w ork; not only to read histor y, als o to read history ; not only t o abs orpti on SM of mirror, als o to gets is of road; not only to from l ocal lear n, als o to to outsi de lear n; not only to to book s learn, also t o field st udy lear n. Therefore, I would e ncourage you, and more to t he outside worl d whe n I hav e time to take a look at, take a stroll, outsi de de vel opme nts, lear n other pe ople' s devel opme nt approa ch, a nd then come back to g uide our w ork. Second, we mu st think . "Learning without t hought to ov ersha dow, thi nking without learni ng is perilous." We w ant to foster t he character of a dvancing wit h the times, forge a head, often reflect t hemselves i n ada pting to t he new situati on on w hether there are delays, have anyt hing to fear in t he reform and innovation, w hether i n terms of accelerating t he development of a relaxation, keep promisi ng State of mind. I n or der to do inve stigations, investigations i s the roa d to heaven, God di sposes of the ba se. To want s to real he ard trut h, and justice to tr uth, a nd get trut h, received effectiveness, on must in -de pth a ctual, a nd outrea ch, a nd i n-de pth masse s, w orshi p masses for Divisi on, and masses heart, wit h masse s with discus sion everyone care of problem, liste ning they of calls, understa nd they of mood, feel they of s uffering, s ummary they of experie nce , concentrated they of wis dom, es pe cially on m asse s most hope , and most urge nt, and most w orries, and most com plaine d of hot, and difficulties and focus probl em, more to a ctive resear ch, caught not put. Dar e to innovate, i n our work, often remain "the old way doe sn't work , the new approa ch w oul d not" situation, the reason, the key is that many people know that copying other pe opl e's ide as, mechani call y, usi ng s omeone else' s old way s. To change thi s pre dicame nt, require s us t o break the sha ckles of traditional conce pts to ov ercome conservative, conformist, g ood at finding new pr oblem s and to accept new thi ngs, s ummarize ne w experie nce , new i deas, developi ng new programmes and Maverick, a new a pproach to solv e problems, s pee d up devel opment . Especially i n implement superior poli cy spirit of pr oce ss in t he, both impl ementation, and ca nnot mecha nica lly, to t o extraordinary of courage and devel op e nterprisi ng of s pirit, put flexib ility and princi ple combine d up, put superior of spirit and local reality combined up, Yong cons piracy to bre akthrough of policy, a nd exercis e innovation of lift, developed out development w orks of, and gras s-r oots wel come s of, and

∴函数 h(t ) ? (a ? 1)t ?
2

4 at ? 1 在 (0, ??) 上递减,而 h(0) ? ?1 3

∴方程(*)在 ( , ??) 无解
2 ③ 当 a ? 1 时,记 h(t ) ? (a ? 1)t ?

4 3

4 2a at ? 1 ,其图象的对称轴 t ? ?0 3 3(a ? 1)

所以,只需 h ( ) ? 0 ,即

4 3

16 16 (a ? 1) ? a ? 1 ? 0 ,此恒成立 9 9

∴此时 a 的范围为 a ? 1 综上所述,所求 a 的取值范围为 a ? 1

Accor ding to Office Party of mass line education pra ctice a ctivities le d group of unifie d arrangement s, units main le d to for cadre s workers S hang a times party lecture , due to himse lf level limited, only put this stage concentrated le arning of experience today and everyone common wit h learni ng excha nge, purpose is let we furt her de ep understanding mass li ne of connotation, i nsisted party of mass line, do masses w ork, following main from four a a spe cts tol d: a, a nd full aware nes s party of mass li ne educati on pra ctice a ctivities of major mea ning Party's 18 major distinct proposed to focus on the party's a dvanced nature a nd purity, i n the party, with "pr agmati c and clea n for the people" as the main content of the party's mass line and educational pra ctice . 准 标 收 验 到 达 中 程 过 在 措 染 污 尘 扬 制 控 与 护 保 境 环 效 取 采 排 动 劳 洁 整 容 通 畅 路 道 序 有 存 备 设 、 料 材 理 合 置 布 场 现 ”。 板 样 全 “安 建 创 , 求 要 范 规 的 地 工 施 明 文 于 关 市 州 兰 照 按 格 严

This is comrade XI Jinping a s party Ge neral Secretary a nd a dher e to strictly admi nistering t he part y, strengt hen the party's major de cision is i n line wit h the publ ic expe ctations and strengt heni ng the construction of learni ng-oriente d service innovation of Marxist party's maj or de ployme nt, is the important meas ure to adva nce the great ca use of s ocial ism with Chinese characteri stics . First, carry out

the party's mass li ne in e ducation practi ce, wa s carryi ng 18 of the party spirit, s ummon a pow erful force for realizi ng the great rej uvenati on of the Chi nese nation the Chinese dre am of urgent nee ds . Party's 18 to promote strategi c de ployment to buildi ng socialism wit h Chi nese chara cteristics, pre s ents two 10 0-year goal, namel y, by 20 20 China's gr oss domesti c product and per capita income of urba n and rural resi dents i n 201 0 on t he ba sis of double complete the buildi ng of a well -off soci ety; the middle of this ce ntury int o a prosperous, dem ocratic, civilize d and harm oni ous S ociali st moder n country, and on t his ba sis, t he Chines e dream of realizi ng the great rej uvenati on of the Chi nese nation. 18 Congre ss of the party, Comrade XI Jinping re peatedly ex pounded the Chi nese dream. The basi c connotation of the Chinese dre am, is the national prosperit y, nati onal revitalizati on, the ha ppiness of the pe ople , Chi na important to follow is to kee p Chi na Road, carry forward t he s pirit and cohesi on stre ngth of China , dream dreams of the pe opl e of Chi na, but determi ned confidence, e nha nce self-aware ness, a chi eve self-relia nce, to buil d a stronger Chi na, civi lization, harmony, bea uty, Chi na, China, Chi na. Strategic concepti on of China wa s 18 the spirit of the enri chme nt and development of the party, conscienti ously st udy the Chi nes e dream, lea ding people to har d to realize t he Chines e dream, mass e ducation activitie s in de pth t he fundamental starting point a nd e ndi ng point. Strengt hen t he educati on of the party's mass li ne, helps t o train the colle ctive cons cious ness of the unity of the party a nd the people, playing the Chi nese dream ide ologi cal ba ses. Comrade M ao Zedong stre ssed t hat parties should have "common lang uage" socialist countri es must have "unity of will". Hist ory has


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