(考试必备)湖北省部分重点中学2011届高三第二次联考数学理


letters and calls, a nd do pra ctical t hings for t he masse s com bine g ood, effective through rea chi ng pe ople at the servi ce of the "last mile". T hird, foster t he devel opme nt of new e nergy, new G eneral Se cretary XI Ji npi ng stresse d devel opme nt of innovation forest restructuring, revitalization of the ol d industrial bases i n Northeast Chi na is the State's maj or strategy, Central ha s iss ued compr ehe nsive opi nions of revitalizi ng Nort heast China and other old i ndustrial ba ses, t he CPC Ce ntral Committee on revitalizati on in Nort heast China w ere ... V igorous determination does not waver, the w ork does not sl acken off. Be firm with in the devel opment has more t o do with har d, and not muddle al ong, passiv e ina ction. To re ly on t heir ow n efforts, ca n't wait, ca n't wait, stand still. T his not only pr ovides new opportunities for development in our regi on, a nd gave us ne w requirements. We must s eize the opportunity, full use of national policy, ha s to be m ore com plicate d, to start and target, give full play to t he initiative of leadi ng ca dres at all level s, active, active, focusi ng on building new moment um for devel opment , accelerating transformation of forest devel opment . To im plement t he ne w devel opme nt philos ophy. Phi los op hy is the action gui de, new ideas a nd new deve lopme nts. Carrying out innov ation, coor dinati on a nd development of green, ope n, s hared i deas, must be mea surabl e, dire ct acti on wit h ne w devel opme nt concepts, trai ning ca dres. In a new development concept a s a yardsti ck. Esta blished i n line w ith the new conce pt of evaluati on system a nd eval uation criteri on, embodies the new devel opment poli cy, organizati on, ma ndate im plementation, always mea sure d by the new devel opment phil os ophy, conti nuous correction of forest transition course. In a new development concept for t he pat h comma nd. A s part of the implementati on of the ne w devel opme nt ph ilosophy followe d and acti on gui deli nes, firmly adj usted, corre cted a nd rej ect uns uitable , ina ppropriate a nd eve n agains t the new devel opment i deas, be haviors a nd practi ces, more pragmatic approa ch base d on a br oad visi on, and creatively carry out e col ogica l construction, industrial devel opme nt, improvi ng pe opl e's liveli hood, such as t he w ork to ensure t hat new devel opment i deas take root in forest area s. I n a new dev elopment concept for wea pon traini ng ca dre. Educati on lea ders "in t he ne w, nothi ng" two art icl es, e nha nci ng vitality and power. Combi ned devel opme nt "six big industry", a nd impl ementation "three big engineering", a nd create "two big e nvironment", strengt heni ng on new devel opme nt, and new e conomy concept of learni ng, and grasp and usi ng, real put thoug ht and action unified to new development conce pt up, at with new development concept arme d himse lf, and gui de pra ctice , effective do a dvocate innovation, a nd focuse d on coor dinati on, a nd a dvocate gre en, a nd t hick plant open, and adva nce share d. Second, we must rely on Scie nce a nd te chnol ogy affects. Te chnical innovation is the promoti on of economi c transformation and upgra ding, quality a nd efficie ncy "first pow er".

整理日期 2011 年 2 月 24 日星期四

整理人 小セ

湖北省部分重点中学 2011 届高三第二次联考

数 学 试 题(理)
试卷满分:150 分 注意事项: 1.本卷 1—10 题为选择题,共 50 分,11—21 题为非选择题,共 100 分,考试结束, 监 考人员将答题卷收回。 2.答题前,考生务必将自己的学校、班级、姓名、准考证号填写在试题卷和答题卷指 定位置。 3.选择题的作答:选出答案后,用 2B 铅笔把答题卡上对应题目的答案标号涂黑,如 需改动,用橡皮擦干净后,再选涂其他答案标号,答在试题卷上无效。 4.非选择题的作答:用 0.5 毫米黑色墨水的签字笔直接答在答题卷上的每题所对应的 答题区域内。答在指定区域外无效。 ()

第一部分

选择题

一、选择题:本大题共有 10 小题,每小题 5 分,共 50 分,在每小题给出的四个选项中,只 有一项是符合题目要求的。请把它选出后在答题卡上规定的位置上用铅笔涂黑。 1.设集合 A ? {1, 2}, B ? {1, 2,3}, C ? {2,3, 4}, 则( A

B) C =





A.{1,2,3} B.{1,2,4} C.{2,3,4} D.{1,2,3,4} 2.某商场有四类商品,其中粮食类、植物油类、动物性食品类及果蔬类分别有 40 种、10 种、30 种、20 种,现从中抽取一个容量为 20 的样本进行食品安全检测,若采用分层抽 样的方法抽取样本,则抽取的植物油类与果蔬类食品种数之和是 ( ) A.4 B.5 C .6 D.7 3.已知复数 Z ? 1 ? A.1+i

2i , 则1 ? z ? z 2 ? 1? i
B.1-i

z 2010 为
C .i D.-i





?x ? 2 ? 4.已知实数 x,y 满足约束条件 ? y ? 2 ,则 z ? 2 x ? 4 y 的最大值为 ?x ? y ? 6 ?
A.24 B.20 C.16 D.12





livelihood, i s related to people's w ell-being a nd social harmony and stabilit y. We need t o prote ct and improve the livelihood of the people as the starting point a nd e ndi ng point of transiti on a nd impr ove forest pe ople' s feeling and ha ppi nes s. To prom ote poverty relief a nd development work . Impl ementing poverty alleviation cr ucial proje ct is a major strate gi c de cisi on made by the CPC Central Committee, is als o determine d by the provi ncial "first project", we must unify thi nking a nd a ction to the re quireme nts of the Central, pr ovincial, res olutely wi n the poverty battle. T he previ ous phase I to 18 stations, Tahe, Pine Ri dge research, visite d many of the poor, go, the heavie r, more pre ssur e. For poverty relief and development w ork, we must pay attention t o it, always in mi nd, gras ping hands, s hould not be blindly optimistic, t here ca n be no s lack. Poverty alle viati on a nd development li es in pre cise, a ccurate. Pre sent, i n order to find out the real base of poor pe ople a s soon a s possi ble, come up with 强 很 、 力 响 影 ; 专 最 该 时 同 办 举 么 致 一 相 场 市 标 目 们 我 与 否 是 虑 考 要 首 于 对 。 外 次 其 , 合 综 和 览 展 业 行 名 著 性 际 的 内 国 加 参 择 选 先 优 feasible poverty standards, state card, built on t he ba sis of docume nt management . To firmly establis h the " poverty reducti on" concept, increase t he inte nsity of res our ce integration, a nd relate d funding, with limite d funds wi sely. By usi ng a combi nation of empl oyment, e ntrepre neurs hip for poverty eradication poverty eradi cation, educati on, poverty all eviation, medi cal aid of poverty means, due to effects of poli cies, those poli cies, e ns ure the com pletion of missi on obj ectives for poverty eradicati on for t he year. To actively promote t he constr ucti on of new t owns. I n February t his yea r, promulgate d by the State Council on furt her pr omoting urba nization constructi on of new opi nions, propos ed to a dhere to t he people-centere d, four moder nizati ons synchronizati on, optimizati on, e col ogy civ ilization and cultural heritage of new urba nization pat h with Chi nese characteristi cs. A ccor ding t o distri ct-wi de constructi on of civiliz ed city and the beautif ul country side, f urther stre ngthe ning of urba n transport, water supply a nd drainage a nd sewage, waste dis posal ground, underground, s uch as infrastructure construction, strive to create a safer and m ore livable environment. To a ctively seize t he full st op a nd opportunities for poverty alleviation and dev elopment, further efforts to increa se forest villages merge, population to the County (distri ct) Council sites a nd centre s concentrated i n villages a nd towns . Com bine d devel opme nt of urban constructi on a nd t ourism i ndustries, careful pla nni ng and constr ucti on of a number of suita ble for resi dential a nd farm tour towns a nd v illages, f orming one village one product, a feature pattern. Cl oser to the ma sses. Si nce last year, our i n-dept h implementati on of the leadi ng ca dres of grassr oots mas ses at w ork, solve t he pr oblem s of a large number of people, get the mas ses give w hole hearted support to and prais e, this w ork will carry on, abs olutel y cannot or movement. Grassroots masse s and ca dres in com bination wit h poverty re duction, com bine d with the stea dy work of

letters and calls, a nd do pra ctical t hings for t he masse s com bine g ood, effective through rea chi ng pe ople at the servi ce of the "last mile". T hird, foster t he devel opme nt of new e nergy, new G eneral Se cretary XI Ji npi ng stresse d devel opme nt of innovation forest restructuring, revitalizatio n of the ol d industrial bases i n Northeast Chi na is the State's maj or strategy, Central ha s iss ued compr ehe nsive opi nions of revitalizi ng Nort heast China and other old i ndustrial ba ses, t he CPC Ce ntral Committee on revitalizati on in Nort heast China w ere ... V igorous determination does not waver, the w ork does not sl acken off. Be firm with in the devel opment has more t o do with har d, and not muddle al ong, passiv e ina ction. To re ly on t heir ow n efforts, ca n't wait, ca n't wait, stand still. T his not only pr ovides new opportunities for development in our regi on, a nd gave us ne w requirements. We must s eize the opportunity, full use of natio nal policy, ha s to be m ore com plicate d, to start and target, give full play to t he initiative of leadi ng ca dres at all level s, active, active, focusi ng on building new moment um for devel opment , accelerating transformation of forest devel opment . To im plement t he ne w devel opme nt philos ophy. Phi los ophy is the action gui de, new ideas a nd new deve lopme nts. Carrying out innov ation, coor dinati on a nd development of green, ope n, s hared i deas, must be mea surabl e, dire ct acti on wit h ne w devel opme nt concepts, trai ning ca dres. In a new development concept a s a yardsti ck. Esta blished i n line w ith the new conce pt of evaluati on system a nd eval uation criteri on, embodies the new devel opment poli cy, organizati on, ma ndate im plementation, always mea sure d by the new devel opment phil os ophy, conti nuous correction of forest transition course. In a new development concept for t he pat h comma nd. A s part of the implementati on of the ne w devel opme nt philosophy followe d and acti on gui deli nes, firmly adj usted, corre cted a nd rej ect uns uitabl e , ina ppropriate a nd eve n agains t the new devel opment i deas, be haviors a nd practi ces, more pragmatic approa ch base d on a br oad visi on, and creatively carry out e col ogica l construction, industrial devel opme nt, improvi ng pe opl e's liveli hood, such as t he w ork to ensure t hat new devel opment i deas take root in forest area s. I n a new dev elopment concept for wea pon traini ng ca dre. Educa ti on lea ders "in t he ne w, nothi ng" two articl es, e nha nci ng vitality and power. Combi ned devel opme nt "six big industry", a nd impl em entation "three big engineering", a nd create "two big e nvironment", strengt heni ng on new devel opme nt, and new e conomy concept of learni ng, and grasp and usi ng, real put thoug ht and action unified to new development conce pt up, at with new development concept arme d himse lf, and gui de pra ctice , effective do a dvocate innovation, a nd focuse d on coor dinati on, a nd a dvocate gre en, a nd t hick plant open, and adva nce share d. Second, we must rely on Scie nce a nd te chnol ogy affects. Te chnical innovation is the promoti on of economi c transformation and upgra ding, quality a nd efficie ncy "first pow er".

5.函数 f ( x) ? 2sin(2 x ? ? ) 的图像如图所示, ?? ? ? ? ? ,则 ? 的值为





A. ?

?

2? C. ? 或 ? 3 3
6.三个数 60.7 ,0.76 ,log0.7 6 的大小顺序是 A. log0.7 6 ? 0.76 ? 60.7 C. log0.7 6 ? 60.7 ? 0.76

?

3

B. ? D. ?

?

?
6

6

或?

5? 6
( )

B. 0.76 ? 60.7 ? log0.7 6 D. 0.76 ? log0.7 6 ? 60.7

7.有一正方体,六个面上分别写有数字 1、2、3、4、5、6,有三个人从不同的角度观察的 结果如图所示, 如果记 3 的对面的数字为 m, 4 的对面的数字为 n, 那么 m+n 的值为 ( )

A.3

B.7

C .8

D.11

8. 已知函数 f ( x ) 的图像如图所示,f '( x)是f ( x) 的导函数, 则下列数值排序正确的是 ( A. 0 ? f '(2) ? f '(3) ? f (3) ? f (2) B. 0 ? f '(3) ? f (3) ? f (2) ? f '(2) C. 0 ? f '(3) ? f '(2) ? f (3) ? f (2) D. 0 ? f (3) ? f (2) ? f '(2) ? f '(3)



9.有红、蓝、黄三种颜色的球各 7 个,每种颜色的 7 个球分别标有数字 1、2、3、4、5、6、 7,从中任取 3 个标号不同的球,这 3 个颜色互不相同且所标数字互不相邻的取法种数

livelihood, i s related to people's w ell-being a nd social harmony and stabilit y. We need t o prote ct and improve the livelihood of the people as the starting point a nd e ndi ng point of transiti on a nd impr ove forest pe ople' s feeling and ha ppi nes s. To prom ote poverty relief a nd development work . Impl ementing poverty alleviation cr ucial proje ct is a major strategi c de cisi on made by the CPC Central Committee, is als o det ermine d by the provi ncial "first project", we must unify thi nking a nd a ction to the re quireme nts of the Central, pr ovincial, res olutely wi n the poverty battle. T he previ ous phase I to 18 stations, Tahe, Pine Ri dge research, visite d many of the poor, go, th e heavie r, more pre ssur e. For poverty relief and development w ork, we must pay attention t o it, always in mi nd, gras ping hands, s ho uld not be blindly optimistic, t here ca n be no s lack. Poverty alleviati on a nd development li es in pre cise, a ccurate. Pre sent, i n order to find out the real base of poor pe ople a s soon a s possi ble, come up with 强 很 、 力 响 影 ; 专 最 该 时 同 办 举 么 致 一 相 场 市 标 目 们 我 与 否 是 虑 考 要 首 于 对 。 外 次 其 , 合 综 和 览 展 业 行 名 著 性 际 的 内 国 加 参 择 选 先 优 feasible poverty standards, state card, built on t he ba sis of docume nt management . To firmly establis h the " poverty reducti on" concept, increase t he inte nsity of res our ce integration, a nd relate d funding, with limite d funds wi sely. By usi ng a combi nation of empl oyment, e ntrepre neurs hip for poverty era dication poverty eradi cation, educati on, poverty all eviation, medi cal aid of poverty means, due to effects of poli cies, those poli cies, e ns ure the com pletion of missi on obj ectives for poverty eradicati on for t he year. To actively promote t he constr ucti on of new t owns. I n February t his yea r, promulgate d by the State Council on furt her pr omoting urba nization constructi on of new opi nions, propos ed to a dhere to t he people-centere d, four moder nizati ons synchronizati on, optimizati on, e col ogy civ ilization and cultural heritage of new urba nization pat h with Chi nese characteristi cs. A ccor ding t o distri ct-wi de constructi on of civiliz ed city and the beautif ul country side, f urther stre ngthe ning of urba n transport, water supply a nd drainage a nd sewage, waste dis posal ground, underground, s uch as infrastructure construction, strive to create a safer and m ore livable environment. To a ctively seize t he full st op a nd opportunities for poverty alleviation and dev elopment, further efforts to increa se forest villages merge, popul ation to the County (distri ct) Council sites a nd centre s concentrated i n villages a nd towns . Com bine d devel opme nt of urban constructi on a nd t ourism i ndustries, careful pla nni ng and constr ucti on of a number of suita ble for resi dential a nd farm tour towns a nd v illages, f orming one village one product, a feature pattern. Closer to the ma sses. Si nce last year, our i n-dept h implementati on of the leadi ng ca dres of grassr oots mas ses at w ork, solve t he pr oblem s of a large number of people, get the mas ses give w hole hearted support to and prais e, this w ork will carry on, abs olutely cannot or movement. Grassroots masse s and ca dres in com bination wit h poverty re duction, com bine d with the stea dy work of

letters and calls, a nd do pra ctical thi ngs for the ma sses combi ne good, effective thr oug h reaching people at the s ervice of the "last mile". Third, foster t he devel opme nt of new e nergy, new G eneral Se cretary XI Jinping stresse d devel opme nt of innovation forest restr uct uring, revitalizati on of the ol d industrial bases i n Northeast China is the State's maj or strategy, Ce ntral has i ssue d compre hensive opini ons of revitalizing Northea st Chi na and other old i ndustrial bases, t he CPC Ce ntral Committee on revitalization in Nort heast China wer e ... V igorous determi nation does not waver, the work does not sla cken off. Be firm with in the development ha s more to do with hard, a nd not muddl e along, pas sive ina ction. To rely on t heir ow n efforts, ca n't wait, ca n't wait, stand still. T his not only provi des new opportunities for devel opme nt in our region, and gave us new requirements . We must s e ize the opportunit y, full use of nati onal poli cy, has to be more compli cated, to start a nd target, give full play to t he initiative of leadi ng cadre s at all levels, a ctive, active, focusing on building ne w moment um for development, a ccel erating transformation of forest devel opme nt. To im plement the new development phil os ophy. Phil osophy is t he acti on gui de, new ideas and ne w devel opme nts. Carryi ng out innova tion, coor dinati on a nd development of green, open, s hared i deas, m ust be meas urabl e, dire ct action with new development concept s, training cadres . In a new dev elopment concept as a yardstick. E stablis hed i n line with the new conce pt of evaluation system and evaluati on criter i on, embodies t he new deve lopme nt policy, organi zation, mandate im plementati on, always mea sure d by the new dev elopment philosophy, continuous correcti on of forest trans ition course. I n a ne w devel opme nt conce pt for the pat h command. A s part of the impl ementatio n of the new devel opme nt philosophy followe d and acti on gui deli nes, firmly adjusted, corre cted and reje ct unsuita ble, ina ppr opriate a nd eve n against the new development i deas, behavi ors and pra ctices , more pragmatic a pproach base d on a broa d visi on, a nd creatively carry out ecologi cal constr uction, i ndustrial devel opme nt, improvi ng pe ople' s livelihood, s uch as the w ork to e nsure t hat new development i deas take root i n forest areas. I n a new development conce pt for weapon traini ng ca dre. Education leade rs "in the new, not hing" two arti cles, e nha nci ng vitality and pow er. Combi ned development "six big i ndustry", and im plementation " three big e ngineering", and create "two big envir onment", stre ngthe ning on ne w devel opment , and new economy conce pt of learni ng, and grasp a nd usi ng, real put thought and acti on unified t o new development conce pt up, at wit h new devel opment conce pt armed hims elf, and gui de pra ctice, effective do adv ocate i nnovation, and focused on coor dinati on, a nd a dvocate gree n, a nd thi ck plant ope n, a nd adva nce share d. Second, we must rely on S cience and technology affects. Techni cal innovation is

the promoti on of economi c transformation and upgra ding, quality a nd efficie ncy "first pow er".

七彩教育网 www.7caiedu.cn 免费提供 Word 版教学资源

为 A.42

( B.48 C.54 D.60



2 2 10.已知定点 F 1 (?2,0), F2 (2,0) ,N 是圆 O : x ? y ? 1 上任意一点,点 F1 关于点 N 的对

称点为 M,线段 F1M 的中垂线与直线 F2M 相交于点 P,则点 P 的轨迹是 A.椭圆 B.双曲线 C.抛物线 D.圆





第二部分

非选择题

二、填空题:本大题共 5 小题,每小题 5 分,满分 25 分。 11 . 已 知 数 列 {an } 是 公 差 不 为 零 的 等 差 数 列 , a1 ? 1 . 若 a1 , a2 , a5成 等 比 数 列 , 则

an =

。 。

12.已知 A、B、C 是 O : x2 ? y 2 ? 1上三点, OA ? OB ? OC, 则AB ? OA = 13.设 F 为抛物线 y ? ? 为 Q,则 ?PQF ?

1 2 x 的焦点,与抛物线相切于点 P(-4,-4)的直线 l与x 轴的交点 4

?0.3 x

14.甲、乙、丙、丁四位同学得到方程 2 x ? e

? 100 ? 0 (其中 e ? 2.7182

)的大于

零的近似解依次为①50;②50.1;③49.5;④50.001,你认为 近似解(请填甲、乙、丙、丁中的一个) 15.对一切 x ? R, f ( x) ? ax ? bx ? c(a ? b) 的值恒为非负实数,则

的答案为最佳

a?b?c 的最小值为 b?a

。 三、解答题(解答应写出文字说明,证明过程或演算步骤,共 75 分) 16. (本小题满分 12 分) 一射击测试每人射击三次,每击中目标一次记 10 分。没有击中记 0 分,某人每次 击中目标的概率为 . (I)求此人得 20 分的概率; (II)求此人得分的数学期望与方差。

2 3

livelihood, i s related to people's w ell-being a nd s oci al harmony and stabilit y. We need t o prote ct and im prove the liv elihood of the people as the starting point and e ndi ng poi nt of transition and improve fore st people's feeli ng and ha ppi ness . To promote poverty relief and devel opme nt work. Im pl ementing poverty alleviation cr ucial proje ct is a major strategi c de cision made by the CPC Central Committee, is also determine d by the provi ncial "first proj ect", we m ust unify think ing and acti on to t he requirements of the Ce ntral, provi ncial , resol utely win t he poverty battle. The previ ous pha se I to 18 stations, Tahe, Pine Ridg e research, visite d many of the poor, go, the heavier, more pres sure . For poverty relief a nd development work, we must pay attenti on to it, alway s in mind, graspi ng ha nds, shoul d not be bl indly optimisti c, ther e can be no sla ck. Poverty alleviation and devel opment li es in pre cise, a ccurate. Pre sent, i n order t o find out the real base of poor peo ple as soon as possi ble, come up with 强 很 、 力 响 影 ; 专 最 该 时 同 办 举 么 致 一 相 场 市 标 目 们 我 与 否 是 虑 考 要 首 于 对 。 外 次 其 , 合 综 和 览 展 业 行 名 著 性 际 的 内 国 加 参 择 选 先 优 feasible poverty standards , state card, built on the basi s of docume nt manageme nt. To firmly establi sh the "poverty reducti on" concept, i ncreas e the inte nsity of res our ce integration, and related fundi ng, with limited funds wisel y. By usi ng a com binati on of employment, e ntrepre neur shi p for pove rty eradication poverty era dicati on, e ducation, poverty allevi ation, medical ai d of poverty means, due t o effects of poli cies , those policie s, ensure the completion of missi on obje ctives for poverty eradicati on for the year. To actively promote the construction of new t owns. In Fe bruary thi s year, promulgated by the State Council on further prom oting ur bani zation construction of new opi nions, pr opose d to adhere to t he pe opl e-centere d, four moderni zations synchr onizati on, optimizati on, e col ogy civili zation a nd cult ural heritage of new ur banizati on path wit h Chi nese chara cteristics. Accor ding to district-wide construction of civilize d city a nd the bea utiful countrysi de, furt her strengt heni ng of urban transport, water supply a nd drai nage a nd sew age, waste di sposal ground, underground, s uch as i nfrastructure construction, strive to create a safer and mor e livable e nvironme nt. To actively s eize the full stop a nd opportunities for poverty alleviation and deve lopme nt, further efforts to i ncrea se forest villages merge, populati on to t he County (district) Council sites a nd centres conce ntrated in vill ages and tow ns. Combi ned development of ur ban construction and touri sm industries, careful pla nni ng and constr ucti on of a number of suitabl e for reside ntial and farm tour towns and villages, for ming one vill age one product, a feature pattern. Closer to the mas ses. Si nce la st year, our in -de pth impl ementation of the lea ding cadres of grassroots ma sses at w ork, solve t he pr oblems of a large number of pe ople, get the masses give w hol ehearte d support to and prais e, this w ork will carry on, absol utely ca nnot or movement . Grassr oots mass es and ca dres in combi nation with poverty reducti on, combi ned

with the stea dy work of

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letters and calls, a nd do pra ctical t hings for t he masse s com bine g ood, effective through rea chi ng pe ople at the servi ce of the "last mile". T hird, foster t he devel opme nt of new e nergy, new G eneral Se cretary XI Ji npi ng stresse d devel opme nt of innovation forest restructuring, revitalizatio n of the ol d industrial bases i n Northeast Chi na is the State's maj or strategy, Central ha s iss ued compr ehe nsive opi nions of revitalizi ng Nort heast China and other old i ndustrial ba ses, t he CPC Ce ntral Committee on revitalizati on in Nort heast China w ere ... V igorous determination does not waver, the w ork does not sl acken off. Be firm with in the devel opment has more t o do with har d, and not muddle al ong, passiv e ina ction. To re ly on t heir ow n efforts, ca n't wait, ca n't wait, stand still. T his not only pr ovides new opportunities for development in our regi on, a nd gave us ne w requirements. We must s eize the opportunity, full use of natio nal policy, ha s to be m ore com plicate d, to start and target, give full play to t he initiative of leadi ng ca dres at all level s, active, active, focusi ng on building new moment um for devel opment , accelerating transformation of forest devel opment . To im plement t he ne w devel opme nt philos ophy. Phi los ophy is the action gui de, new ideas a nd new deve lopme nts. Carrying out innov ation, coor dinati on a nd development of green, ope n, s hared i deas, must be mea surabl e, dire ct acti on wit h ne w devel opme nt concepts, trai ning ca dres. In a new development concept a s a yardsti ck. Esta blished i n line w ith the new conce pt of evaluati on system a nd eval uation criteri on, embodies the new devel opment poli cy, organizati on, ma ndate im plementation, always mea sure d by the new devel opment phil os ophy, conti nuous correction of forest transition course. In a new development concept for t he pat h comma nd. A s part of the implementati on of the ne w devel opme nt philosophy followe d and acti on gui deli nes, firmly adj usted, corre cted a nd rej ect uns uitabl e , ina ppropriate a nd eve n agains t the new devel opment i deas, be haviors a nd practi ces, more pragmatic approa ch base d on a br oad visi on, and creatively carry out e col ogica l construction, industrial devel opme nt, improvi ng pe opl e's liveli hood, such as t he w ork to ensure t hat new devel opment i deas take root in forest area s. I n a new dev elopment concept for wea pon traini ng ca dre. Educa ti on lea ders "in t he ne w, nothi ng" two articl es, e nha nci ng vitality and power. Combi ned devel opme nt "six big industry", a nd impl em entation "three big engineering", a nd create "two big e nvironment", strengt heni ng on new devel opme nt, and new e conomy concept of learni ng, and grasp and usi ng, real put thoug ht and action unified to new development conce pt up, at with new development concept arme d himse lf, and gui de pra ctice , effective do a dvocate innovation, a nd focuse d on coor dinati on, a nd a dvocate gre en, a nd t hick plant open, and adva nce share d. Second, we must rely on Scie nce a nd te chnol ogy affects. Te chnical innovation is the promoti on of economi c transformation and upgra ding, quality a nd efficie ncy "first pow er".

17. (本小题满分 12 分) 已知 ?ABC 的三内角 A, B, C 所对三边分别为 a, b, c, 且 sin( (I)求 tan A 的值。 (II)若 ?ABC 的面积 s ? 24, b ? 8, 求 a 的值。

?
4

? A) ?

7 2 ? ,0 ? A ? . 10 4

18. (12 分) 如图,平面 ABEF ? 平面 ABCD ,四边形 ABEF 与 ABCD 都是直角梯形,

?BAD ? ?FAB ? 90?, BC / /
??

1 1 AD, BE / / AF . ?? 2 2

(I)证明:C,D,F,E 四点共面; (II)设 AB=BC=BE,求二面角 A—ED—B 的大小。

19. (本小题满分 12 分) 已知点 P( x0 , y0 ) 是椭圆 E :

x2 ? y 2 ? 1 上任意一点 x0 y0 ? 1 ,直线 l 的方程为 2

livelihood, i s related to people's w ell-being a nd social harmony and stabilit y. We need t o prote ct and improve the livelihood of the people as the starting point a nd e ndi ng point of transiti on a nd impr ove forest pe ople' s feeling and ha ppi nes s. To prom ote poverty relief a nd development work . Impl ementing poverty alleviation cr ucial proje ct is a major strategi c de cisi on made by the CPC Central Committee, is als o det ermine d by the provi ncial "first project", we must unify thi nking a nd a ction to the re quireme nts of the Central, pr ovincial, res olutely wi n the poverty battle. T he previ ous phase I to 18 stations, Tahe, Pine Ri dge research, visite d many of the poor, go, th e heavie r, more pre ssur e. For poverty relief and development w ork, we must pay attention t o it, always in mi nd, gras ping hands, s ho uld not be blindly optimistic, t here ca n be no s lack. Poverty alleviati on a nd development li es in pre cise, a ccurate. Pre sent, i n order to find out the real base of poor pe ople a s soon a s possi ble, come up with 强 很 、 力 响 影 ; 专 最 该 时 同 办 举 么 致 一 相 场 市 标 目 们 我 与 否 是 虑 考 要 首 于 对 。 外 次 其 , 合 综 和 览 展 业 行 名 著 性 际 的 内 国 加 参 择 选 先 优 feasible poverty standards, state card, built on t he ba sis of docume nt management . To firmly establis h the " poverty reducti on" concept, increase t he inte nsity of res our ce integration, a nd relate d funding, with limite d funds wi sely. By usi ng a combi nation of empl oyment, e ntrepre neurs hip for poverty era dication poverty eradi cation, educati on, poverty all eviation, medi cal aid of poverty means, due to effects of poli cies, those poli cies, e ns ure the com pletion of missi on obj ectives for poverty eradicati on for t he year. To actively promote t he constr ucti on of new t owns. I n February t his yea r, promulgate d by the State Council on furt her pr omoting urba nization constructi on of new opi nions, propos ed to a dhere to t he people-centere d, four moder nizati ons synchronizati on, optimizati on, e col ogy civ ilization and cultural heritage of new urba nization pat h with Chi nese characteristi cs. A ccor ding t o distri ct-wi de constructi on of civiliz ed city and the beautif ul country side, f urther stre ngthe ning of urba n transport, water supply a nd drainage a nd sewage, waste dis posal ground, underground, s uch as infrastructure construction, strive to create a safer and m ore livable environment. To a ctively seize t he full st op a nd opportunities for poverty alleviation and dev elopment, further efforts to increa se forest villages merge, popul ation to the County (distri ct) Council sites a nd centre s concentrated i n villages a nd towns . Com bine d devel opme nt of urban constructi on a nd t ourism i ndustries, careful pla nni ng and constr ucti on of a number of suita ble for resi dential a nd farm tour towns a nd v illages, f orming one village one product, a feature pattern. Closer to the ma sses. Si nce last year, our i n-dept h implementati on of the leadi ng ca dres of grassr oots mas ses at w ork, solve t he pr oblem s of a large number of people, get the mas ses give w hole hearted support to and prais e, this w ork will carry on, abs olutely cannot or movement. Grassroots masse s and ca dres in com bination wit h poverty re duction, com bine d with the stea dy work of

letters and calls, a nd do pra ctical thi ngs for the ma sses combi ne good, effective thr oug h reaching people at the s ervice of the "last mile". Third, foster t he devel opme nt of new e nergy, new G eneral Se cretary XI Jinping stresse d devel opme nt of innovation forest restr uct uring, revitalizati on of the ol d industrial bases i n Northeast China is the State's maj or strategy, Ce ntral has i ssue d compre hensive opini ons of revitalizing Northea st Chi na and other old i ndustrial bases, t he CPC Ce ntral Committee on revitalization in Nort heast China wer e ... V igorous determi nation does not waver, the work does not sla cken off. Be firm with in the development ha s more to do with hard, a nd not muddl e along, pas sive ina ction. To rely on t heir ow n efforts, ca n't wait, ca n't wait, stand still. T his not only provi des new opportunities for devel opme nt in our region, and gave us new requirements . We must s e ize the opportunit y, full use of nati onal poli cy, has to be more compli cated, to start a nd target, give full play to t he initiative of leadi ng cadre s at all levels, a ctive, active, focusing on building ne w moment um for development, a ccel erating transformation of forest devel opme nt. To im plement the new development phil os ophy. Phil osophy is t he acti on gui de, new ideas and ne w devel opme nts. Carryi ng out innova tion, coor dinati on a nd development of green, open, s hared i deas, m ust be meas urabl e, dire ct action with new development concept s, training cadres . In a new dev elopment concept as a yardstick. E stablis hed i n line with the new conce pt of evaluation system and evaluati on criter i on, embodies t he new deve lopme nt policy, organi zation, mandate im plementati on, always mea sure d by the new dev elopment philosophy, continuous correcti on of forest trans ition course. I n a ne w devel opme nt conce pt for the pat h command. A s part of the impl ementatio n of the new devel opme nt philosophy followe d and acti on gui deli nes, firmly adjusted, corre cted and reje ct unsuita ble, ina ppr opriate a nd eve n against the new development i deas, behavi ors and pra ctices , more pragmatic a pproach base d on a broa d visi on, a nd creatively carry out ecologi cal constr uction, i ndustrial devel opme nt, improvi ng pe ople' s livelihood, s uch as the w ork to e nsure t hat new development i deas take root i n forest areas. I n a new development conce pt for weapon traini ng ca dre. Education leade rs "in the new, not hing" two arti cles, e nha nci ng vitality and pow er. Combi ned development "six big i ndustry", and im plementation " three big e ngineering", and create "two big envir onment", stre ngthe ning on ne w devel opment , and new economy conce pt of learni ng, and grasp a nd usi ng, real put thought and acti on unified t o new development conce pt up, at wit h new devel opment conce pt armed hims elf, and gui de pra ctice, effective do adv ocate i nnovation, and focused on coor dinati on, a nd a dvocate gree n, a nd thi ck plant ope n, a nd adva nce share d. Second, we must rely on S cience and technology affects. Techni cal innovation is

the promoti on of economi c transformation and upgra ding, quality a nd efficie ncy "first pow er".

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x0 x ? y0 y ? 1 2 (I)判断直线 l 与椭圆 E 交点的个数;
(II)直线 l0 过 P 点与直线 l 垂直,点 M(-1,0)关于直线 l0 的对称点为 N,直线 PN 恒 过一定点 G,求点 G 的坐标。

20. (本小题满分 13 分) 在数列 {an } 中, a1 ? 1, a2 ? 1, an?1 ? ?an ? an?1. (I)若 ? ? ?

(II)若 ? ? 1 ,基于事实:如果 d 是 a 和 b 的公约数,那么 d 一定是 a-b 的约数。研讨 是否存在正整数 k 和 n,使得 kan?2 ? an与kan?3 ? an?1 有大于 1 的公约数,如果存 在求出 k 和 n,如果不存在请说明理由。

3 , bn ? an ?1 ? aan , 数列{bn } 是公比为β 的等比数列,求α 和β 的值。 2

21. (本小题满分 14 分) 设函数 f ( x) ? x ? ae
x ?1



(I)求函数 f ( x ) 单调区间; (II)若 f ( x) ? 0对x ? R 恒成立,求 a 的取值范围; (III)对任意 n 的个正整数 a1 , a2 ,

, an .记A ?

a1 ? a2 ? n

an

livelihood, i s related to people's w ell-being a nd s oci al harmony and stabilit y. We need t o prote ct and im prove the liv elihood of the people as the starting point and e ndi ng poi nt of transition and improve fore st people's feeli ng and ha ppi ness . To promote poverty relief and devel opme nt work. Im pl ementing poverty alleviation cr ucial proje ct is a major strategi c de cision made by the CPC Central Committee, is also determine d by the provi ncial "first proj ect", we m ust unify think ing and acti on to t he requirements of the Ce ntral, provi ncial , resol utely win t he poverty battle. The previ ous pha se I to 18 stations, Tahe, Pine Ridg e research, visite d many of the poor, go, the heavier, more pres sure . For poverty relief a nd development work, we must pay attenti on to it, alway s in mind, graspi ng ha nds, shoul d not be bl indly optimisti c, ther e can be no sla ck. Poverty alleviation and devel opment li es in pre cise, a ccurate. Pre sent, i n order t o find out the real base of poor peo ple as soon as possi ble, come up with 强 很 、 力 响 影 ; 专 最 该 时 同 办 举 么 致 一 相 场 市 标 目 们 我 与 否 是 虑 考 要 首 于 对 。 外 次 其 , 合 综 和 览 展 业 行 名 著 性 际 的 内 国 加 参 择 选 先 优 feasible poverty standards , state card, built on the basi s of docume nt manageme nt. To firmly establi sh the "poverty reducti on" concept, i ncreas e the inte nsity of res our ce integration, and related fundi ng, with limited funds wisel y. By usi ng a com binati on of employment, e ntrepre neur shi p for pove rty eradication poverty era dicati on, e ducation, poverty allevi ation, medical ai d of poverty means, due t o effects of poli cies , those policie s, ensure the completion of missi on obje ctives for poverty eradicati on for the year. To actively promote the construction of new t owns. In Fe bruary thi s year, promulgated by the State Council on further prom oting ur bani zation construction of new opi nions, pr opose d to adhere to t he pe opl e-centere d, four moderni zations synchr onizati on, optimizati on, e col ogy civili zation a nd cult ural heritage of new ur banizati on path wit h Chi nese chara cteristics. Accor ding to district-wide construction of civilize d city a nd the bea utiful countrysi de, furt her strengt heni ng of urban transport, water supply a nd drai nage a nd sew age, waste di sposal ground, underground, s uch as i nfrastructure construction, strive to create a safer and mor e livable e nvironme nt. To actively s eize the full stop a nd opportunities for poverty alleviation and deve lopme nt, further efforts to i ncrea se forest villages merge, populati on to t he County (district) Council sites a nd centres conce ntrated in vill ages and tow ns. Combi ned development of ur ban construction and touri sm industries, careful pla nni ng and constr ucti on of a number of suitabl e for reside ntial and farm tour towns and villages, for ming one vill age one product, a feature pattern. Closer to the mas ses. Si nce la st year, our in -de pth impl ementation of the lea ding cadres of grassroots ma sses at w ork, solve t he pr oblems of a large number of pe ople, get the masses give w hol ehearte d support to and prais e, this w ork will carry on, absol utely ca nnot or movement . Grassr oots mass es and ca dres in combi nation with poverty reducti on, combi ned

with the stea dy work of

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letters and calls, a nd do pra ctical t hings for t he masse s com bine g ood, effective through rea chi ng pe ople at the servi ce of the "last mile". T hird, foster t he devel opme nt of new e nergy, new G eneral Se cretary XI Ji npi ng stresse d devel opme nt of innovation forest restructuring, revitalizatio n of the ol d industrial bases i n Northeast Chi na is the State's maj or strategy, Central ha s iss ued compr ehe nsive opi nions of revitalizi ng Nort heast China and other old i ndustrial ba ses, t he CPC Ce ntral Committee on revitalizati on in Nort heast China w ere ... V igorous determination does not waver, the w ork does not sl acken off. Be firm with in the devel opment has more t o do with har d, and not muddle al ong, passiv e ina ction. To re ly on t heir ow n efforts, ca n't wait, ca n't wait, stand still. T his not only pr ovides new opportunities for development in our regi on, a nd gave us ne w requirements. We must s eize the opportunity, full use of natio nal policy, ha s to be m ore com plicate d, to start and target, give full play to t he initiative of leadi ng ca dres at all level s, active, active, focusi ng on building new moment um for devel opment , accelerating transformation of forest devel opment . To im plement t he ne w devel opme nt philos ophy. Phi los ophy is the action gui de, new ideas a nd new deve lopme nts. Carrying out innov ation, coor dinati on a nd development of green, ope n, s hared i deas, must be mea surabl e, dire ct acti on wit h ne w devel opme nt concepts, trai ning ca dres. In a new development concept a s a yardsti ck. Esta blished i n line w ith the new conce pt of evaluati on system a nd eval uation criteri on, embodies the new devel opment poli cy, organizati on, ma ndate im plementation, always mea sure d by the new devel opment phil os ophy, conti nuous correction of forest transition course. In a new development concept for t he pat h comma nd. A s part of the implementati on of the ne w devel opme nt philosophy followe d and acti on gui deli nes, firmly adj usted, corre cted a nd rej ect uns uitabl e , ina ppropriate a nd eve n agains t the new devel opment i deas, be haviors a nd practi ces, more pragmatic approa ch base d on a br oad visi on, and creatively carry out e col ogica l construction, industrial devel opme nt, improvi ng pe opl e's liveli hood, such as t he w ork to ensure t hat new devel opment i deas take root in forest area s. I n a new dev elopment concept for wea pon traini ng ca dre. Educa ti on lea ders "in t he ne w, nothi ng" two articl es, e nha nci ng vitality and power. Combi ned devel opme nt "six big industry", a nd impl em entation "three big engineering", a nd create "two big e nvironment", strengt heni ng on new devel opme nt, and new e conomy concept of learni ng, and grasp and usi ng, real put thoug ht and action unified to new development conce pt up, at with new development concept arme d himse lf, and gui de pra ctice , effective do a dvocate innovation, a nd focuse d on coor dinati on, a nd a dvocate gre en, a nd t hick plant open, and adva nce share d. Second, we must rely on Scie nce a nd te chnol ogy affects. Te chnical innovation is the promoti on of economi c transformation and upgra ding, quality a nd efficie ncy "first pow er".

(1)求证:

ai ?1 ai ? e A (i ? 1, 2, A

n) (2)求证: A ? n a1a2

an

参考答案
一、选择题答案:DCCBA 二、填空题:11、. an ? 2n ? 1 三、解答题: 16.解: (Ⅰ)此人得 20 分的概率为 p ? C 3 ( ) ?
2 2

ACBDB 12、 ?

3 2

13、

? 2
1 4 ? 3 9

14、甲

15、3

2 3

……4 分

(Ⅱ)记此人三次射击击中目标? 次得分为 ? 分,则? ~ B (3, ) , ? =10? …6 分 ∴ E (? ) ? 10 E (? ) ? 10 ? 3 ?

2 3

2 ? 20 3 2 1 200 D(? ) ? 100 D(? ) ? 100 ? 3 ? ? ? 3 3 3

……9 分 ……12 分

17.解: (Ⅰ)∵ 0 ? A ? 得 cos(

?
4



?
4

? A?

?
4

?

?
2

由 sin(

?
4

? A) ?

7 2 10

2 …2 分 4 10 ? ? ? ? ? ? 3 ∴ sin A ? sin( ? A ? ) = sin( ? A) cos - cos( ? A) sin = ……4 分 4 4 4 4 4 4 5 4 3 ∴ cos A ? ……5 分 ∴ tan A ? ……6 分 5 4 1 (Ⅱ) bc sin A ? 24 得 c ? 10 ……8 分 2 2 2 2 ∴ a ? b ? c ? 2bc cos A ? 36 ∴ a ? 6 ……12 分 18.解:法 1: (Ⅰ)解:延长 DC 交 AB 的延长线于点 G , 1 由 BC // AD 得 ? 2 GB GC BC 1 ? ? ? ……2 分 GA GD AD 2 ' 延长 FE 交 AB 的延长线于 G 同理可得 ? A) ?

?

livelihood, i s related to people's w ell-being a nd social harmony and stabilit y. We need t o prote ct and improve the livelihood of the people as the starting point a nd e ndi ng point of transiti on a nd impr ove forest pe ople' s feeling and ha ppi nes s. To prom ote poverty relief a nd development work . Impl ementing poverty alleviation cr ucial proje ct is a major strategi c de cisi on made by the CPC Central Committee, is als o det ermine d by the provi ncial "first project", we must unify thi nking a nd a ction to the re quireme nts of the Central, pr ovincial, res olutely wi n the poverty battle. T he previ ous phase I to 18 stations, Tahe, Pine Ri dge research, visite d many of the poor, go, th e heavie r, more pre ssur e. For poverty relief and development w ork, we must pay attention t o it, always in mi nd, gras ping hands, s ho uld not be blindly optimistic, t here ca n be no s lack. Poverty alleviati on a nd development li es in pre cise, a ccurate. Pre sent, i n order to find out the real base of poor pe ople a s soon a s possi ble, come up with 强 很 、 力 响 影 ; 专 最 该 时 同 办 举 么 致 一 相 场 市 标 目 们 我 与 否 是 虑 考 要 首 于 对 。 外 次 其 , 合 综 和 览 展 业 行 名 著 性 际 的 内 国 加 参 择 选 先 优 feasible poverty standards, state card, built on t he ba sis of docume nt management . To firmly establis h the " poverty reducti on" concept, increase t he inte nsity of res our ce integration, a nd relate d funding, with limite d funds wi sely. By usi ng a combi nation of empl oyment, e ntrepre neurs hip for poverty era dication poverty eradi cation, educati on, poverty all eviation, medi cal aid of poverty means, due to effects of poli cies, those poli cies, e ns ure the com pletion of missi on obj ectives for poverty eradicati on for t he year. To actively promote t he constr ucti on of new t owns. I n February t his yea r, promulgate d by the State Council on furt her pr omoting urba nization constructi on of new opi nions, propos ed to a dhere to t he people-centere d, four moder nizati ons synchronizati on, optimizati on, e col ogy civ ilization and cultural heritage of new urba nization pat h with Chi nese characteristi cs. A ccor ding t o distri ct-wi de constructi on of civiliz ed city and the beautif ul country side, f urther stre ngthe ning of urba n transport, water supply a nd drainage a nd sewage, waste dis posal ground, underground, s uch as infrastructure construction, strive to create a safer and m ore livable environment. To a ctively seize t he full st op a nd opportunities for poverty alleviation and dev elopment, further efforts to increa se forest villages merge, popul ation to the County (distri ct) Council sites a nd centre s concentrated i n villages a nd towns . Com bine d devel opme nt of urban constructi on a nd t ourism i ndustries, careful pla nni ng and constr ucti on of a number of suita ble for resi dential a nd farm tour towns a nd v illages, f orming one village one product, a feature pattern. Closer to the ma sses. Si nce last year, our i n-dept h implementati on of the leadi ng ca dres of grassr oots mas ses at w ork, solve t he pr oblem s of a large number of people, get the mas ses give w hole hearted support to and prais e, this w ork will carry on, abs olutely cannot or movement. Grassroots masse s and ca dres in com bination wit h poverty re duction, com bine d with the stea dy work of

letters and calls, a nd do pra ctical thi ngs for the ma sses combi ne good, effective thr oug h reaching people at the s ervice of the "last mile". Third, foster t he devel opme nt of new e nergy, new G eneral Se cretary XI Jinping stresse d devel opme nt of innovation forest restr uct uring, revitalizati on of the ol d industrial bases i n Northeast China is the State's maj or strategy, Ce ntral has i ssue d compre hensive opini ons of revitalizing Northea st Chi na and other old i ndustrial bases, t he CPC Ce ntral Committee on revitalization in Nort heast China wer e ... V igorous determi nation does not waver, the work does not sla cken off. Be firm with in the development ha s more to do with hard, a nd not muddl e along, pas sive ina ction. To rely on t heir ow n efforts, ca n't wait, ca n't wait, stand still. T his not only provi des new opportunities for devel opme nt in our region, and gave us new requirements . We must s e ize the opportunit y, full use of nati onal poli cy, has to be more compli cated, to start a nd target, give full play to t he initiative of leadi ng cadre s at all levels, a ctive, active, focusing on building ne w moment um for development, a ccel erating transformation of forest devel opme nt. To im plement the new development phil os ophy. Phil osophy is t he acti on gui de, new ideas and ne w devel opme nts. Carryi ng out innova tion, coor dinati on a nd development of green, open, s hared i deas, m ust be meas urabl e, dire ct action with new development concept s, training cadres . In a new dev elopment concept as a yardstick. E stablis hed i n line with the new conce pt of evaluation system and evaluati on criter i on, embodies t he new deve lopme nt policy, organi zation, mandate im plementati on, always mea sure d by the new dev elopment philosophy, continuous correcti on of forest trans ition course. I n a ne w devel opme nt conce pt for the pat h command. A s part of the impl ementatio n of the new devel opme nt philosophy followe d and acti on gui deli nes, firmly adjusted, corre cted and reje ct unsuita ble, ina ppr opriate a nd eve n against the new development i deas, behavi ors and pra ctices , more pragmatic a pproach base d on a broa d visi on, a nd creatively carry out ecologi cal constr uction, i ndustrial devel opme nt, improvi ng pe ople' s livelihood, s uch as the w ork to e nsure t hat new development i deas take root i n forest areas. I n a new development conce pt for weapon traini ng ca dre. Education leade rs "in the new, not hing" two arti cles, e nha nci ng vitality and pow er. Combi ned development "six big i ndustry", and im plementation " three big e ngineering", and create "two big envir onment", stre ngthe ning on ne w devel opment , and new economy conce pt of learni ng, and grasp a nd usi ng, real put thought and acti on unified t o new development conce pt up, at wit h new devel opment conce pt armed hims elf, and gui de pra ctice, effective do adv ocate i nnovation, and focused on coor dinati on, a nd a dvocate gree n, a nd thi ck plant ope n, a nd adva nce share d. Second, we must rely on S cience and technology affects. Techni cal innovation is

the promoti on of economi c transformation and upgra ding, quality a nd efficie ncy "first pow er".

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G ' E G ' B BE 1 ? ? ? G ' F G ' A AF 2 G ' B GB 故 ' ? ,即 G 与 G ' 重合……4 分 G A GA 因此直线 CD、EF 相交于点 G ,即 C , D, F , E 四点共面。……6 分 (Ⅱ)证明:设 AB ? 1 ,则 BC ? BE ? 1 , AD ? 2

取 AE 中点 M ,则 BM ? AE , 又由已知得, AD ? 平面 ABEF 故 AD ? BM , BM 与平面 ADE 内两相交直线 AD、AE 都垂直。 所以 BM ? 平面 ADE ,作 MN ? DE ,垂足为 N ,连结 BN 由三垂线定理知 BN ? ED,?BNM 为二面角 A ? ED ? B 的平面角。……9 分

BM ?

2 1 AD ? AE 3 ,MN ? ? ? 2 2 DE 3

故 tan ?BNM ?

BM 6 ? MN 2

所以二面角 A ? ED ? B 的大小 arctan 法 2:向量法(略)

6 ……12 分 2

? x2 ? y2 ? 1 ? x0 2 ? 2 y0 2 2 ?2 y x ? x0 x ? 1 ? y0 2 ? 0 ……2 分 19.解: (1)由 ? 消去 并整理得 4 ? x0 x ? y y ? 1 0 ? ? 2 2 x0 2 ? x0 2 ? y0 2 ? 1,? y0 2 ? 2 2 2 2 ? x ? 2x0 x ? x0 ? 0 …………4 分

?? ? 4x02 ? 4x02 ? 0 故直线 l 与椭圆 E 只有一个交点…………5 分 (2)直线 l0 的方程为 x0 ( y ? y0 ) ? 2 y0 ( x ? x0 ) 即 2 y0 x ? x0 y ? x0 y0 ? 0 ………………6 分 设 M (?1,0) 关于直线 l0 的对称点 N 的坐标为 N (m, n)
? 2 x03 ? 3 x0 2 ? 4 x0 ? 4 m ? ? x0 2 ? 4 ? 解得 ? ……8 分 4 3 2 ? n ? 2 x0 ? 4 x0 ? 4 x0 ? 8 x0 ? 2 y0 (4 ? x0 2 ) ? n ? y0 x0 4 ? 4 x03 ? 2 x0 2 ? 8x0 ? 8 ? ? 直线 PN 的斜率为 k ? m ? x0 2 y0 (? x03 ? 3x02 ? 4) 从而直线 PN 的方程为 x 4 ? 4 x03 ? 2 x02 ? 8x0 ? 8 y ? y0 ? 0 ( x ? x0 ) 2 y0 (? x03 ? 3x02 ? 4)

x ? n ?? 0 ? 2 y0 ? m ?1 则? ?2 y ? m ? 1 ? x0 n ? x y ? 0 0 0 0 ? ? 2 2

2 y0 (? x03 ? 3x02 ? 4) y ?1 x04 ? 4 x03 ? 2 x02 ? 8x0 ? 8 从而直线 PN 恒过定点 G (1, 0) …………12 分
即x? 20. (I)

?bn ? 是公比的 ? 的等比数列
with the stea dy work of

livelihood, i s related to people's w ell-being a nd s oci al harmony and stabilit y. We need t o prote ct and im prove the liv elihood of the people as the starting point and e ndi ng poi nt of transition and improve fore st people's feeli ng and ha ppi ness . To promote poverty relief and devel opme nt work. Im pl ementing poverty alleviation cr ucial proje ct is a major strategi c de cision made by the CPC Central Committee, is also determine d by the provi ncial "first proj ect", we m ust unify think ing and acti on to t he requirements of the Ce ntral, provi ncial , resol utely win t he poverty battle. The previ ous pha se I to 18 stations, Tahe, Pine Ridg e research, visite d many of the poor, go, the heavier, more pres sure . For poverty relief a nd development work, we must pay attenti on to it, alway s in mind, graspi ng ha nds, shoul d not be bl indly optimisti c, ther e can be no sla ck. Poverty alleviation and devel opment li es in pre cise, a ccurate. Pre sent, i n order t o find out the real base of poor peo ple as soon as possi ble, come up with 强 很 、 力 响 影 ; 专 最 该 时 同 办 举 么 致 一 相 场 市 标 目 们 我 与 否 是 虑 考 要 首 于 对 。 外 次 其 , 合 综 和 览 展 业 行 名 著 性 际 的 内 国 加 参 择 选 先 优 feasible poverty standards , state card, built on the basi s of docume nt manageme nt. To firmly establi sh the "poverty reducti on" concept, i ncreas e the inte nsity of res our ce integration, and related fundi ng, with limited funds wisel y. By usi ng a com binati on of employment, e ntrepre neur shi p for pove rty eradication poverty era dicati on, e ducation, poverty allevi ation, medical ai d of poverty means, due t o effects of poli cies , those policie s, ensure the completion of missi on obje ctives for poverty eradicati on for the year. To actively promote the construction of new t owns. In Fe bruary thi s year, promulgated by the State Council on further prom oting ur bani zation construction of new opi nions, pr opose d to adhere to t he pe opl e-centere d, four moderni zations synchr onizati on, optimizati on, e col ogy civili zation a nd cult ural heritage of new ur banizati on path wit h Chi nese chara cteristics. Accor ding to district-wide construction of civilize d city a nd the bea utiful countrysi de, furt her strengt heni ng of urban transport, water supply a nd drai nage a nd sew age, waste di sposal ground, underground, s uch as i nfrastructure construction, strive to create a safer and mor e livable e nvironme nt. To actively s eize the full stop a nd opportunities for poverty alleviation and deve lopme nt, further efforts to i ncrea se forest villages merge, populati on to t he County (district) Council sites a nd centres conce ntrated in vill ages and tow ns. Combi ned development of ur ban construction and touri sm industries, careful pla nni ng and constr ucti on of a number of suitabl e for reside ntial and farm tour towns and villages, for ming one vill age one product, a feature pattern. Closer to the mas ses. Si nce la st year, our in -de pth impl ementation of the lea ding cadres of grassroots ma sses at w ork, solve t he pr oblems of a large number of pe ople, get the masses give w hol ehearte d support to and prais e, this w ork will carry on, absol utely ca nnot or movement . Grassr oots mass es and ca dres in combi nation with poverty reducti on, combi ned

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letters and calls, a nd do pra ctical t hings for t he masse s com bine g ood, effective through rea chi ng pe ople at the servi ce of the "last mile". T hird, foster t he devel opme nt of new e nergy, new G eneral Se cretary XI Ji npi ng stresse d devel opme nt of innovation forest restructuring, revitalizatio n of the ol d industrial bases i n Northeast Chi na is the State's maj or strategy, Central ha s iss ued compr ehe nsive opi nions of revitalizi ng Nort heast China and other old i ndustrial ba ses, t he CPC Ce ntral Committee on revitalizati on in Nort heast China w ere ... V igorous determination does not waver, the w ork does not sl acken off. Be firm with in the devel opment has more t o do with har d, and not muddle al ong, passiv e ina ction. To re ly on t heir ow n efforts, ca n't wait, ca n't wait, stand still. T his not only pr ovides new opportunities for development in our regi on, a nd gave us ne w requirements. We must s eize the opportunity, full use of natio nal policy, ha s to be m ore com plicate d, to start and target, give full play to t he initiative of leadi ng ca dres at all level s, active, active, focusi ng on building new moment um for devel opment , accelerating transformation of forest devel opment . To im plement t he ne w devel opme nt philos ophy. Phi los ophy is the action gui de, new ideas a nd new deve lopme nts. Carrying out innov ation, coor dinati on a nd development of green, ope n, s hared i deas, must be mea surabl e, dire ct acti on wit h ne w devel opme nt concepts, trai ning ca dres. In a new development concept a s a yardsti ck. Esta blished i n line w ith the new conce pt of evaluati on system a nd eval uation criteri on, embodies the new devel opment poli cy, organizati on, ma ndate im plementation, always mea sure d by the new devel opment phil os ophy, conti nuous correction of forest transition course. In a new development concept for t he pat h comma nd. A s part of the implementati on of the ne w devel opme nt philosophy followe d and acti on gui deli nes, firmly adj usted, corre cted a nd rej ect uns uitabl e , ina ppropriate a nd eve n agains t the new devel opment i deas, be haviors a nd practi ces, more pragmatic approa ch base d on a br oad visi on, and creatively carry out e col ogica l construction, industrial devel opme nt, improvi ng pe opl e's liveli hood, such as t he w ork to ensure t hat new devel opment i deas take root in forest area s. I n a new dev elopment concept for wea pon traini ng ca dre. Educa ti on lea ders "in t he ne w, nothi ng" two articl es, e nha nci ng vitality and power. Combi ned devel opme nt "six big industry", a nd impl em entation "three big engineering", a nd create "two big e nvironment", strengt heni ng on new devel opme nt, and new e conomy concept of learni ng, and grasp and usi ng, real put thoug ht and action unified to new development conce pt up, at with new development concept arme d himse lf, and gui de pra ctice , effective do a dvocate innovation, a nd focuse d on coor dinati on, a nd a dvocate gre en, a nd t hick plant open, and adva nce share d. Second, we must rely on Scie nce a nd te chnol ogy affects. Te chnical innovation is the promoti on of economi c transformation and upgra ding, quality a nd efficie ncy "first pow er".

?bn ? ? bn?1 ? an?1 ? ? an ? ? (an ? ? an?1 ) …………2 分 即 an?1 ? (? ? ? )an ? ?? an?1 3 又 an ?1 ? ? an ? an ?1 2 3 ? ?? ? ? ? ? ?? 2 ………………4 分 ? ???? ? 1 3 ? ? 、 ? 是方程 x 2 ? x ? 1 ? 0 的两根 2 1 ? ?? ? ?2 ?? ? ? ?? 2 或? 1 …………6 分 ?? ? ? ? ? ? ?2 ? 2 (II)假设存在正整数 k , n 使得 kan?2 ? an 与 kan?3 ? an?1 有大于 1 的公约数 d , 则 d 也是 (kan?3 ? an?1 ) ? (kan?2 ? an ) 即 k (an?3 ? an?2 ) ? (an?1 ? an ) 的约数 依题设 an?3 ? an?2 ? an?1 , an?1 ? an ? an?1 ? d 是 kan?1 ? an?1 的约数…………8 分 从而 d 是 kan?2 ? an 与 kan?1 ? an?1 的公约数 同理可得 d 是 kan ? an?2 的约数依次类推, d 是 ka4 ? a2 与 ka3 ? a1 的约数……10 分 a1 ? 1, a2 ? 1 ,故 a3 ? 2, a4 ? 3 于是 ka4 ? a2 ? 3k ? 1 ka3 ? a1 ? 2k ? 1 ………………12 分 又∵ (3k ? 1) ? (2k ? 1) ? k ? d 是 k 的约数和 2k ? 1 的约数 ? d 是 (2k ? 1) ? k 即 (k ? 1) 的约数 从而 d 是 (k ? 1) ? k 即 1 的约数,这与 d ? 1 矛盾 故不存在 k , n 使 kan?2 ? an 与 kan?3 ? an?1 有大于 1 的公约数.
21. (I) f ?( x) ? 1 ? ae ………………1 分 当 a ? 0 时, f ?( x) ? 0 , f ( x ) 在 R 上是增函数…………2 分
x ?1

当 a ? 0 时,令 f ?( x) ? 0 得 x ? 1 ? ln a ……………………3 分 若 x ? 1 ? ln a 则 f ?( x) ? 0 ,从而 f ( x ) 在区间 (??,1 ? ln a) 上是增函数 若 x ? 1 ? ln a 则 f ?( x) ? 0 ,从而 f ( x ) 在区间 (1 ? ln a, ? ?) 上是减函数 综上可知:当 a ? 0 时, f ( x ) 在区间 (??, ? ?) 上是增函数。当 a ? 0 时,在区间

(??,1 ? ln a) 上是增函数, f ( x) 在区间 (1 ? ln a, ? ?) 上是减函数…………5 分 (II)由(I)可知:当 a ? 0 时, f ( x) ? 0 不恒成立…………6 分 又当 a ? 0 时, f ( x ) 在点 x ? 1 ? ln a 处取最大值,
且 f (1 ? ln a) ? 1 ? ln a ? ae 令 ? ln a ? 0 得 a ? 1
? ln a

? ? ln a ………………8 分

故若 f ( x) ? 0 对 x ? R 恒成立,则 a 的取值范围是 ?1, ? ?? ……9 分
x ?1 (III)证明: (1)由(II)知:当 a ? 1 时恒有 f ( x) ? x ? e ? 0 成立

即x?e

x ?1

livelihood, i s related to people's w ell-being a nd social harmony and stabilit y. We need t o prote ct and improve the livelihood of the people as the starting point a nd e ndi ng point of transiti on a nd impr ove forest pe ople' s feeling and ha ppi nes s. To prom ote poverty relief a nd development work . Impl ementing poverty alleviation cr ucial proje ct is a major strategi c de cisi on made by the CPC Central Committee, is als o det ermine d by the provi ncial "first project", we must unify thi nking a nd a ction to the re quireme nts of the Central, pr ovincial, res olutely wi n the poverty battle. T he previ ous phase I to 18 stations, Tahe, Pine Ri dge research, visite d many of the poor, go, th e heavie r, more pre ssur e. For poverty relief and development w ork, we must pay attention t o it, always in mi nd, gras ping hands, s ho uld not be blindly optimistic, t here ca n be no s lack. Poverty alleviati on a nd development li es in pre cise, a ccurate. Pre sent, i n order to find out the real base of poor pe ople a s soon a s possi ble, come up with 强 很 、 力 响 影 ; 专 最 该 时 同 办 举 么 致 一 相 场 市 标 目 们 我 与 否 是 虑 考 要 首 于 对 。 外 次 其 , 合 综 和 览 展 业 行 名 著 性 际 的 内 国 加 参 择 选 先 优 feasible poverty standards, state card, built on t he ba sis of docume nt management . To firmly establis h the " poverty reducti on" concept, increase t he inte nsity of res our ce integration, a nd relate d funding, with limite d funds wi sely. By usi ng a combi nation of empl oyment, e ntrepre neurs hip for poverty era dication poverty eradi cation, educati on, poverty all eviation, medi cal aid of poverty means, due to effects of poli cies, those poli cies, e ns ure the com pletion of missi on obj ectives for poverty eradicati on for t he year. To actively promote t he constr ucti on of new t owns. I n February t his yea r, promulgate d by the State Council on furt her pr omoting urba nization constructi on of new opi nions, propos ed to a dhere to t he people-centere d, four moder nizati ons synchronizati on, optimizati on, e col ogy civ ilization and cultural heritage of new urba nization pat h with Chi nese characteristi cs. A ccor ding t o distri ct-wi de constructi on of civiliz ed city and the beautif ul country side, f urther stre ngthe ning of urba n transport, water supply a nd drainage a nd sewage, waste dis posal ground, underground, s uch as infrastructure construction, strive to create a safer and m ore livable environment. To a ctively seize t he full st op a nd opportunities for poverty alleviation and dev elopment, further efforts to increa se forest villages merge, popul ation to the County (distri ct) Council sites a nd centre s concentrated i n villages a nd towns . Com bine d devel opme nt of urban constructi on a nd t ourism i ndustries, careful pla nni ng and constr ucti on of a number of suita ble for resi dential a nd farm tour towns a nd v illages, f orming one village one product, a feature pattern. Closer to the ma sses. Si nce last year, our i n-dept h implementati on of the leadi ng ca dres of grassr oots mas ses at w ork, solve t he pr oblem s of a large number of people, get the mas ses give w hole hearted support to and prais e, this w ork will carry on, abs olutely cannot or movement. Grassroots masse s and ca dres in com bination wit h poverty re duction, com bine d with the stea dy work of

letters and calls, a nd do pra ctical thi ngs for the ma sses combi ne good, effective thr oug h reaching people at the s ervice of the "last mile". Third, foster t he devel opme nt of new e nergy, new G eneral Se cretary XI Jinping stresse d devel opme nt of innovation forest restr uct uring, revitalizati on of the ol d industrial bases i n Northeast China is the State's maj or strategy, Ce ntral has i ssue d compre hensive opini ons of revitalizing Northea st Chi na and other old i ndustrial bases, t he CPC Ce ntral Committee on revitalization in Nort heast China wer e ... V igorous determi nation does not waver, the work does not sla cken off. Be firm with in the development ha s more to do with hard, a nd not muddl e along, pas sive ina ction. To rely on t heir ow n efforts, ca n't wait, ca n't wait, stand still. T his not only provi des new opportunities for devel opme nt in our region, and gave us new requirements . We must s e ize the opportunit y, full use of nati onal poli cy, has to be more compli cated, to start a nd target, give full play to t he initiative of leadi ng cadre s at all levels, a ctive, active, focusing on building ne w moment um for development, a ccel erating transformation of forest devel opme nt. To im plement the new development phil os ophy. Phil osophy is t he acti on gui de, new ideas and ne w devel opme nts. Carryi ng out innova tion, coor dinati on a nd development of green, open, s hared i deas, m ust be meas urabl e, dire ct action with new development concept s, training cadres . In a new dev elopment concept as a yardstick. E stablis hed i n line with the new conce pt of evaluation system and evaluati on criter i on, embodies t he new deve lopme nt policy, organi zation, mandate im plementati on, always mea sure d by the new dev elopment philosophy, continuous correcti on of forest trans ition course. I n a ne w devel opme nt conce pt for the pat h command. A s part of the impl ementatio n of the new devel opme nt philosophy followe d and acti on gui deli nes, firmly adjusted, corre cted and reje ct unsuita ble, ina ppr opriate a nd eve n against the new development i deas, behavi ors and pra ctices , more pragmatic a pproach base d on a broa d visi on, a nd creatively carry out ecologi cal constr uction, i ndustrial devel opme nt, improvi ng pe ople' s livelihood, s uch as the w ork to e nsure t hat new development i deas take root i n forest areas. I n a new development conce pt for weapon traini ng ca dre. Education leade rs "in the new, not hing" two arti cles, e nha nci ng vitality and pow er. Combi ned development "six big i ndustry", and im plementation " three big e ngineering", and create "two big envir onment", stre ngthe ning on ne w devel opment , and new economy conce pt of learni ng, and grasp a nd usi ng, real put thought and acti on unified t o new development conce pt up, at wit h new devel opment conce pt armed hims elf, and gui de pra ctice, effective do adv ocate i nnovation, and focused on coor dinati on, a nd a dvocate gree n, a nd thi ck plant ope n, a nd adva nce share d. Second, we must rely on S cience and technology affects. Techni cal innovation is

the promoti on of economi c transformation and upgra ding, quality a nd efficie ncy "first pow er".

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ai ?1 ai ? ? e A ………………11 分 A an a1 a2 ?1 ?1 ?1 an a a2 ? e A ;……; ?eA (2)由(1)知: 1 ? e A ; A A A a1 ? a2 ? ? an ?n aa a A ? 1 ………………13 分 把以上 n 个式子相乘得 1 2 n n ? e A ? An ? a1a2 an

故 A?

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livelihood, i s related to people's w ell-being a nd s oci al harmony and stabilit y. We need t o prote ct and im prove the liv elihood of the people as the starting point and e ndi ng poi nt of transition and improve fore st people's feeli ng and ha ppi ness . To promote poverty relief and devel opme nt work. Im pl ementing poverty alleviation cr ucial proje ct is a major strategi c de cision made by the CPC Central Committee, is also determine d by the provi ncial "first proj ect", we m ust unify think ing and acti on to t he requirements of the Ce ntral, provi ncial , resol utely win t he poverty battle. The previ ous pha se I to 18 stations, Tahe, Pine Ridg e research, visite d many of the poor, go, the heavier, more pres sure . For poverty relief a nd development work, we must pay attenti on to it, alway s in mind, graspi ng ha nds, shoul d not be bl indly optimisti c, ther e can be no sla ck. Poverty alleviation and devel opment li es in pre cise, a ccurate. Pre sent, i n order t o find out the real base of poor peo ple as soon as possi ble, come up with 强 很 、 力 响 影 ; 专 最 该 时 同 办 举 么 致 一 相 场 市 标 目 们 我 与 否 是 虑 考 要 首 于 对 。 外 次 其 , 合 综 和 览 展 业 行 名 著 性 际 的 内 国 加 参 择 选 先 优 feasible poverty standards , state card, built on the basi s of docume nt manageme nt. To firmly establi sh the "poverty reducti on" concept, i ncreas e the inte nsity of res our ce integration, and related fundi ng, with limited funds wisel y. By usi ng a com binati on of employment, e ntrepre neur shi p for pove rty eradication poverty era dicati on, e ducation, poverty allevi ation, medical ai d of poverty means, due t o effects of poli cies , those policie s, ensure the completion of missi on obje ctives for poverty eradicati on for the year. To actively promote the construction of new t owns. In Fe bruary thi s year, promulgated by the State Council on further prom oting ur bani zation construction of new opi nions, pr opose d to adhere to t he pe opl e-centere d, four moderni zations synchr onizati on, optimizati on, e col ogy civili zation a nd cult ural heritage of new ur banizati on path wit h Chi nese chara cteristics. Accor ding to district-wide construction of civilize d city a nd the bea utiful countrysi de, furt her strengt heni ng of urban transport, water supply a nd drai nage a nd sew age, waste di sposal ground, underground, s uch as i nfrastructure construction, strive to create a safer and mor e livable e nvironme nt. To actively s eize the full stop a nd opportunities for poverty alleviation and deve lopme nt, further efforts to i ncrea se forest villages merge, populati on to t he County (district) Council sites a nd centres conce ntrated in vill ages and tow ns. Combi ned development of ur ban construction and touri sm industries, careful pla nni ng and constr ucti on of a number of suitabl e for reside ntial and farm tour towns and villages, for ming one vill age one product, a feature pattern. Closer to the mas ses. Si nce la st year, our in -de pth impl ementation of the lea ding cadres of grassroots ma sses at w ork, solve t he pr oblems of a large number of pe ople, get the masses give w hol ehearte d support to and prais e, this w ork will carry on, absol utely ca nnot or movement . Grassr oots mass es and ca dres in combi nation with poverty reducti on, combi ned

with the stea dy work of

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