惠州市2015届高三第二次调研考试数学(文科)试题及参考答案

Party branch Se cretary of a party le cture of tw o speeches: t utori ng cov ers all of the new party Constit ution tw o educati on has ki cked off. Study of the Constit ution of this practi ce is a very important part. Today I'll give y ou a new s ection of the Constituti on on t he counselli ng of learning les sons, hope, t hroug h today 's tutori al, further cons olidati on of all t he party members of the new party Constituti on st udy res ults to hel p you better understa nd a nd gras p the importa nt knowledge i n the new Constitution. T his tut orial ha s the foll owi ng three compone nts: one i s the im portance of studyi ng and impl ementing of the ne w party Constitution; s econd, com pared wit h the 17 adopte d by the party Constit ution, the mai n changes i n the content a nd i nterpretation of the new Constitution; t he third is at this stage how to make full use of the ne w esse nce of the content of the Constituti on t o guide party buil ding. Tw o themati c education in party lect ure notes, a nd st udy a nd carry out the significa nce of the ne w Constituti on (a) studying a nd impl ementing t he party Constituti on is t he most basi c obligations of each party member. We party party yilai , has bee n put learni ng impleme nt Constituti on a s a items regular of work one of impl ement Yu alway s, and in different hist ory ba ckg round and the different reality nee d of situation Xia, al so w il l as a items im portant sex work, conce ntrated to, a nd hig hlight to, and separate to be arra ngements, only on reform more t han 3 0 years to, most importa nt of concentrated lear ning im plement Constitution on ha s four times: (ii) learni ng implement Constit ution, is mainte nance party of soli darity unified, a nd complete d party of the task of strong guarante e. Both history a nd real ity show that only determined t o uphold the supremacy of the Constit ution, accor ding to t he educati onal ma nagement of party members a nd cadres at the request of the party Constituti on t o ensure the party stri ctly implement t he party's poli cy and disci pline, to mai ntain party unity, completed the party's vari ous tasks t o pr ovide a strong guara ntee. (C) st udyi ng and implementing the party C onstitution, consoli dating t he party's r uling stat us, a nd the i nevitable requirement of maintai ning t he a dvanced nature of the party. Comrade XI Jinpi ng pointed out: the Constit ution is t he fundame ntal law of the party, the party must follow t he General rules . I n all t he a ctivities of the party organization at all levels, will continue to g uide the broa d mass es of party member s and ca dres, es pecially leadi ng ca dres, cons cienti ously study the par ty Constitution, a bide by t he party Constit ution, the implement ati on of the party Constitution a nd mai ntaini ng party Constituti on, shoul d stre ngthe n party spirit, enhance the consci ous nes s, purpose awarene ss, power aware nes s, sit uation aware ness, se nse of res ponsibility, earnestly shari ng s orrow for t he party, re spons ible for the countr y, for t he people a nd dedi cation. (D) studying and implementing t he party Constit ution, is to s olve the problems the party's act ual nee ds. Comrade XI Jinping s aid all party members must a chieve , leadi ng cadre s shoul d first do w hatever the

惠州市 2015 届高三第二次调研考试
数 学 试 题 (文科)
本试卷共 4 页,21 小题,满分 150 分。考试用时 120 分钟。 参考公式:锥体的体积公式 V ?

1 Sh ,其中 S 为锥体的底面积, h 为锥体的高. 3

一、选择题:本大题共 10 小题,每小题 5 分,满分 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.请在答题卡上填涂相应选项.
2 1.设集合 A ? {?3, ? 2, ? 1,0,1} ,集合 B ? {x x ? 4 ? 0} ,则 A

B= (

) D. ?

A. {?2}

B. {2}

C. {?2, 2} )

2.复数 z ? i ? (1 ? i) ( i 为虚数单位)在复平面上对应的点位于 ( A.第一象限 B.第二象限 C.第三象限 ( )

D.第四象限

3.已知命题 p : ?x ? R, x2 ? 2x ? 4 ? 0 ,则 ? p 为 A. ?x ? R, x2 ? 2x ? 4 ? 0 C. ?x ? R, x2 ? 2x ? 4 ? 0 4.已知向量 AB ? (3,7) , BC ? (?2,3) ,则 ? A. ? ? , 5?

2 B. ?x0 ? R, x0 ? 2x0 ? 4 ? 0 2 D. ?x0 ? R, x0 ? 2x0 ? 4 ? 0

1 AC ? ( 2

)

? 1 ? ? 2 ?

B. ? , 5?

?1 ? ?2 ?

C. ? ? ,-5 ? ) C. y ? ?

? 1 ? 2

? ?

D. ? ,-5 ?

?1 ?2

? ?

5.下列函数中,在区间 (0, ??) 上为增函数的是( A. y ? ln( x ? 1) B. y ?| x ? 1|

?1? ? ?2?

x

D. y ? sin x ? 2 x

?2 x ? y ? 2 ? 0 ? 6.若变量 x, y 满足约束条件 ? x ? y ? 0 ,则 z ? x ? 2 y 的最小值为( ?x ? y ? 2 ? 0 ?
A. ? 6 B. 2 C. 3

)

D. 4

Constitution provi des t hat no party member ca n do, leadi ng ca dres s hould take the lea d in not doing . In stri ct accorda nce with the party Constit ution Party member leading ca dre must have six basi c conditions and improv e their own qualities and a bilitie s, regular che cks a nd pay for their ow n shor tcomings . Especially i n the i deal and beli ef, persist in seeking tr uth from facts, and pr omote the scie ntific devel opme nt, maintain close ties wit h, strengt heni ng moral cultivation, and strict a dhere nce t o party di sci pline for party members to lea d by example . Second, the main cha nge in t he ne w Constitution and the i nterpretation of the 1 8th Nati onal Congress of the Ch ines e Communist Part y, to e nd on November 1 4, 201 2 General Assem bly vote, the Constituti on of the Communist Party of China (A mendment) Act. 1 8 Congress of the party By the Constitution of the Communist Party of China (Amendment) Act, against 17 in six large t hroug h a revisi on of the party Constituti on. In order to 字 签 收 验 过 经 处 行 进 基 和 清 地 场 置 位 稳 平 齐 整 放 堆 类 分 格 规 、 种 品 按 求 要 的 项 七 第 合 符 质 材 。 底 交 细 详 了 业 作 向 员 人 理 管 关 有 由 并 , 准 批 已 案 方 设 搭 架 手 脚 外 comply w ith the devel opme nt of the situati on a nd task s change , every nati onal Congress of our party wi ll be of varying degrees of revision of the Constituti on. A big party was held in 19 21, due t o time constrai nts, a nd developed a platform of one of the large, j ust a programmatic document. Our first Constit ution was e sta blis hed by the party's second Nati onal Congress . Accordi ng to t he change s in t he sit uation and tasks , after two s uccessiv e congres ses (exce pt for five) different degrees of modificati on t o the Constituti on. Be cause of t he s peci al cir cumstances, the five party Constituti on has not bee n modified, by t he Politburo after cha nges to t he Constitution. Current i s devel oped i n September 198 2 the party's 12 big cha nges to t he party Constituti on. 30 years, on the premise of maintaini ng the stability of the ba sic cont ents of the party Constituti on, 13 a nd 1 4 and Congres s of the part y, 16 a nd 17 are wit h varying degrees of modifi cation of the Constituti on. Constituti on modified of histor y, is we party 9 2 great deve lopme nt cours e of miniat ure and s how, a i s show has w e party tightly reli es on people complete d and adva nce three pie ces eve nt of great cours e; II is s how has we party i n le d China rev oluti on, a nd construction a nd reform long-term practi ce in t he, constantly adva nce Marxist China of pr oce ss, constantly a dvance the ory innovati on of great course; t hree i s show has we party constantly s ummary party of constructi on of new created, and ne w exper i ence, constantly improv e party of construction sci entific lev el of great cours e. T his 18 big thr ough of Constit ution, except "master" outsi de total 1 1 chapte r, total 53 article, specific for master ; first chapter members; s econd chapter party of orga nization system; t hird cha pter party of Central Organizati on; fourth cha pter party of pla ce orga nization; fifth cha pter party of gras s-roots organi zations ; sixth chapter party of ca dres; sevent h chapter party of di sci pline ; eight h chapter party of disci pline check organ; Ni neth cha pter party; te nth chapter party and Communist Yout h Leag ue of relations hip; 11th cha pter femme fatale flag. And the party compared to

Party branch Se cretary of a party le cture of tw o speeches: t utori ng cov ers all of the new party Constit ution tw o educati on has ki cked off. Study of the Constit ution of this practi ce is a very important part. Today I'll give y ou a new s ection of the Constituti on on t he counselli ng of learning les sons, hope, t hroug h to day's tutori al, further cons olidati on of all t he party members of the new party Constituti on st udy res ults to hel p you better understa nd a nd gras p the importa nt knowledge i n the new Constitution. T his tut orial ha s the foll owi ng three compone nts: one i s the im portance of studyi ng and impl ementing of the ne w party Constitution; s econd, com pared wit h the 17 adopte d by the party Constit ution, the mai n changes i n the content a nd i nterpretation of the new Constitution; t he third is at this stage how to make full use of the ne w esse nce of the content of the Constituti on t o guide party buil ding. Tw o themati c education in party lect ure notes, a nd st udy a nd carry out the significa nce of the ne w Constituti on (a) studying a nd impl ementing t he party Constituti on is t he most basi c obligations of each party member. We party party yilai , has bee n put learni ng impleme nt Constituti on a s a items regular of work one of impl ement Yu alway s, and in different hist ory ba ckg round and the different reality nee d of situation Xia, al so w ill as a items im portant sex work, conce ntrated to, a nd hig hlight to, and separate to be arra ngements, only on reform more t han 3 0 years to, most importa nt of concentrated lear ning im plement Constitution on ha s four times: (ii) learni ng implement Constit ut ion, is mainte nance party of soli darity unified, a nd complete d party of the task of strong guarante e. Both history a nd real it y show that only determined t o uphold the supremacy of the Constit ution, accor ding to t he educati onal ma nagement of party members a nd cadres at the request of the party Constituti on t o ensure the party stri ctly implement t he party's poli cy and disci pline, to mai ntain party unity, completed the party's vari ous tasks t o pr ovide a strong guara ntee. (C) st udyi ng and implementing the part y Constitution, consoli dating t he party's r uling stat us, a nd the i nevitable requirement of maintai ning t he a dvanced nature of the party. Comrade XI Jinpi ng pointed out: the Constit ution is t he fundame ntal law of the party, the party must follow t he General rules . I n all t he a ctivities of the party organization at all levels, will continue to g uide the broa d mass es of party member s and ca dres, es pecially leadi ng ca dres, cons cienti ously study the par ty Constitution, a bide by t he party Constit ution, the implementati on of the party Constitution a nd mai ntaini ng party Constituti on, shoul d stre ngthe n party spirit, enhance the consci ous ne s s, purpose awarene ss, power aware nes s, sit uation aware ness, se nse of res ponsibility, earnestly shari ng s orrow for t he party, re sp ons ible for the countr y, for t he people a nd dedi cation. (D) studying and implementing t he party Constit ution, is to s olve the problems the party's act ual nee ds. Comrade XI Jinping s aid all party members must a chieve , leadi ng cadre s shoul d first do w hatever the

7.已知函数 f ( x) ? Asin ??x ? ? ? ( A ? 0, ? ? 0, ? ? 图象如图所示,则函数 y ? f ( x) 的表达式是( A. f ( x) ? 2sin(2 x ? C. f ( x) ? 2sin(2 x ? )

?

2

) 的部分

?
3

)

B. f ( x) ? 2sin(2 x ? D. f ( x) ? 2sin( x ?

?
3

)

2? ) 3

?
12

)

8.方程 x2 ? x ? n ? 0 ( n ?[0,1] ) 有实根的概率为 ( A.

) D.

1 2

B.

1 3

C.

1 4

3 4
)

9.圆心在 (1, ? 2) ,半径为 2 5 的圆在 x 轴上截得的弦长等( A. 4 3

6 B.

C. 6 2

8 D.

10.某学校要召开学生代表大会,规定各班每 10 人推选一名代表,当各班人数除以 10 的余 数大于 6 时再增选一名代表. 那么, 各班可推选代表人数 y 与该班人数 x 之间的函数关 系用取整函数 y ? [ x] ( [ x ] 表示不大于 x 的最大整数)可以表示为 A. y ? [ ( )

x ] 10

B. y ? [

x?3 ] 10

C. y ? [

x?4 ] 10

D. y ? [

x?5 ] 10

二、填空题: (本大题共 5 小题,分为必做题和选做题两部分.每小题 5 分,满分 20 分) (一)必做题:第 11 至 13 题为必做题,每道试题考生都必须作答. 11.抛物线 x2 ? 4 y ? 0 的准线方程是 .

12.在等比数列 {an } 中, a5 ? 4 , a7 ? 8 ,则 a9 ? _________. 13.在△ ABC 中, ?A ?

? , BC ? 3 , AB ? 6 ,则 ?C ? _________. 3

(二)选做题:第 14、15 题为选做题,考生只选做其中一题,两题全答的,只计前一题 的得分。 14.(坐标系与参数方程选做题)在直角坐标系 xOy 中,直线 l 的参数方程为 ?

?x ? t (t ?y ? 4 ?t

为参数).以原点 O 为极点,以 x 轴的正半轴为极轴建立极坐标系,曲线 C 的极坐标方

Constitution provi des t hat no party member ca n do, leadi ng ca dres s hould take the lea d in not doing . In stri ct accorda nce with the party Constit ution Party member leading ca dre must have six basi c conditions and improv e their own qualities and a bilitie s, regular che cks a nd pay for their ow n shor tcomings . Especially i n the i deal and beli ef , persist in seeking tr uth from facts, and pr omote the scie ntific devel opme nt, maintain close ties wit h, strengt heni ng moral cultivation, and strict a dhere nce t o party di sci pline for party members to lea d by example . Second, the main cha nge in t he ne w Constitution and the i nterpretation of the 1 8th Nati onal Congress of the Chines e Communist Part y, to e nd on November 1 4, 201 2 Gen eral Assem bly vote, the Constituti on of the Communist Party of China (Amendment) Act. 1 8 Congress of the party By the Constitution of the Communist Party of China (Amendment) Act, against 17 in six large t hroug h a revisi on of the party Constituti on. In order to 字 签 收 验 过 经 处 行 进 基 和 清 地 场 置 位 稳 平 齐 整 放 堆 类 分 格 规 、 种 品 按 求 要 的 项 七 第 合 符 质 材 。 底 交 细 详 了 业 作 向 员 人 理 管 关 有 由 并 , 准 批 已 案 方 设 搭 架 手 脚 外 comply w ith the devel opme nt of the situati on a nd task s change , every nati onal Congress of our party wi ll be of varying degrees of revision of the Constituti on. A big party was held in 19 21, due t o time constrai nts, a nd developed a platform of one of the large, j ust a programmatic document. Our first Constit ution was e stablis hed by the party's second Nati onal Congress . Accordi ng t o t he change s in t he sit uation and tasks , after two s uccessiv e congres ses (exce pt for five) different degrees of modificati on t o the Constituti on. Be cause of t he s peci al cir cumstances, the five party Constituti on has not bee n modified, by t he Politburo aft er cha nges to t he Constitution. Current i s devel oped i n September 198 2 the party's 12 big cha nges to t he party Constituti on. 30 years, on the premise of maintaini ng the stability of the ba sic contents of the party Constituti on, 13 a nd 1 4 and Congres s of the part y, 16 a nd 17 are wit h varying degrees of modifi cation of the Constituti on. Constituti on modified of histor y, is we party 9 2 great deve lopme nt cours e of miniat ure and s how, a i s show has w e party tightly reli es on people complete d and adva nce three pie ces eve nt of great cours e; II is s how has we party i n le d China rev oluti on, a nd construction a nd reform long -term practi ce in t he, constantly adva nce Marxist China of pr oce ss, constantly a dvance the ory innovati on of great course; t hree i s show has we party constantly s ummary party of constructi on of new created, and ne w experi ence, constantly improv e party of construction sci enti fic lev el of great cours e. T his 18 big thr ough of Constit ution, except "master" outsi de total 1 1 chapte r, total 53 article, specific for master ; first chapter members; s econd chapter party of orga nization system; t hird cha pter party of Central Organizati on; fourth cha pter party of pla ce orga nization; fifth cha pter party of gras s-roots organi zations ; sixth chapter party of ca dres; sevent h chapter party of di sci pline ; eight h chapter party of disci pline check organ; Ni neth cha pter party; te nth chapter party and Communist Yout h Leag ue of relations hip; 11th cha pter femme fatale flag. And the party compared to

Party branch Se cretary of a party le cture of tw o speeches: t utori ng cov ers all of the new party Constit ution tw o educati on has ki cked off. Study of the Constit ution of this practi ce is a very important part. Today I'll give y ou a new s ection of the Constituti on on t he counselli ng of learning les sons, hope, t hroug h today's tutori al, further cons olidati on of all t he party members of the new party Constituti on st udy res ults to hel p you better understa nd a nd gras p the importa nt knowledge i n the new Constitution. T his tut orial ha s the foll owi ng three compone nts: one i s the im portance of studyi ng and impl ementing of the ne w party Constitution; s econd, com pared wit h the 17 adopte d by the party Constit ution, the mai n changes i n the content a nd i nterpretation of the new Constitution; t he third is at this stage how to make full use of the ne w esse nce of the content of the Constituti on t o guide party buil ding. Tw o themati c education in party lect ure notes, a nd st udy a nd carry out the significa nce of the ne w Constituti on (a) studying a nd impl ementing t he party Constituti on is t he most basi c obligations of each party member. We party party yilai , has bee n put learni ng impleme nt Constituti on a s a items regular of work one of impl ement Yu alway s, and in different hist ory ba ckg round and the different reality nee d of situation Xia, al so w ill as a items im portant sex work, conce ntrated to, a nd hig hlight to, and separate to be arra ngements, only on reform more t han 3 0 years to, most importa nt of concentrated lear ning im plem ent Constitution on ha s four times: (ii) learni ng implement Constit ution, is mainte nance party of soli darity unified, a nd com plete d party of the task of strong guarante e. Both history a nd real ity show that only determined t o uphold the supremacy of the Constit ution, accor ding to t he educati onal ma nagement of party members a nd cadres at the request of the party Constituti on t o ensure the party stri ctly implement t he party's poli cy and disci pline, to mai ntain party unity, completed the party's vari ous tasks t o pr ovide a strong guara ntee. (C) st udyi ng and implementing the party Constitution, consoli dating t he party's r uling stat us, a nd the i nevitable requirement of maintai ning t he a dvanced nature of the party. Comrade XI Jinpi ng pointed out: the Constit ution is t he fundame ntal law of the party, the party must follow t he General rules . I n all t he a ctivities of the party organization at all levels, will continue to g uide the broa d mass es of party member s and ca dres, es pecially leadi ng ca dres, cons cienti ously study the par ty Constitution, a bide by t he party Constit ution, the implementati on of the party Constitution a nd mai ntaini ng party Constituti on, shoul d stre ngthe n party spirit, enhance the consci ous nes s, purpose awarene ss, power aware nes s, sit uation aware ness, se nse of res ponsibility, earnestly shari ng s orrow for t he party, re spons ible for the countr y, for t he people a nd dedi cation. ( D) studying and implementing t he party Constit ution, is to s olve the problems the party's act ual nee ds. Comrade XI Jinping s aid all party mem bers must a chieve , leadi ng cadre s shoul d first do w hatever the

?? ? 程为 ? ? 4 2 sin ? ? ? ? ,则直线 l 和曲线 C 的公共点有_______ 个. 4? ?
15.(几何证明选做题)如图,在半径为 3 的圆 O 中,直径 AB 与 弦 CD 垂直,垂足为 E ( E 在 A 、 O 之间). 若 CE ? 5 , 则 AE ? ________.

C

A

E D

O

B

三、解答题:本大题共 6 小题,满分 80 分.解答须写出文字说明、证明过程和演算步骤. 16.(本小题满分 12 分) 设向量 a ?

?

? ?? 3 sin x,sin x , b ? ? cos x,sin x ? , x ? ?0, ? . ? 2?

?

(1)若 a ? b ,求 x 的值; (2)设函数 f ( x) ? a ? b ,求 f ( x ) 的最大值. 17.(本小题满分 12 分) 移动公司在国庆期间推出 4G 套餐,对国庆节当 日办理套餐的客户进行优惠,优惠方案如下:选择套 餐一的客户可获得优惠 200 元,选择套餐二的客户可 获得优惠 500 元,选择套餐三的客户可获得优惠 300 元. 国庆节当天参与活动的人数统计结果如图所示, 现将频率视为概率.
50 100 150
入网人数

(1) 求某人获得优惠金额不低于 300 元的概率; (2) 若采用分层抽样的方式从参加活动的客户中 选出 6 人,再从该 6 人中随机选出两人,求 这两人获得相等优惠金额的概率. 18.(本小题满分 14 分) 如图,菱形 ABCD 的边长为 6 , ?BAD ? 60 , AC
套餐1 套餐 2 套餐 3
套餐种类

BD ? O .将菱形 ABCD 沿对

角线 AC 折起,得到三棱锥 B ? ACD ,点 M 是棱 BC 的中点, DM ? 3 2 . (1)求 证 : OM // 平 面 ABD ;
Constitution provi des t hat no party member ca n do, leadi ng ca dres s hould take the lea d in not doing . In stri ct accorda nce with the party Constit ution Party member leading ca dre must have six basi c conditions and improv e their own qualities and a bilitie s, regular che cks a nd pay for their ow n shor tcomings . Especi ally i n the i deal and beli ef, persist in seeking tr uth from facts, and pr omote the scie ntific devel opme nt, maintain close ties wit h, strengt heni ng moral cultivation, and strict a dhere nce t o party di sci pline for party members to lea d by example . Second, the main cha nge in t he ne w Constitution and the i nterpretation of the 1 8th Nati onal Congress of the Chines e Communist Part y, to e nd on November 1 4, 201 2 General Assem bly vote, the Constituti on of the Communist Party of China (Amendment) Act. 1 8 Congress of the party By the Constitution of the Communist Party of China (Amendment) Act, against 17 in six large t hroug h a revisi on of the part y Constituti on. In order to 字 签 收 验 过 经 处 行 进 基 和 清 地 场 置 位 稳 平 齐 整 放 堆 类 分 格 规 、 种 品 按 求 要 的 项 七 第 合 符 质 材 。 底 交 细 详 了 业 作 向 员 人 理 管 关 有 由 并 , 准 批 已 案 方 设 搭 架 手 脚 外 comply w ith the devel opme nt of the situati on a nd task s change , every nati onal Congress of our party wi ll be of varying degrees of revision of the Constituti on. A big party was held in 19 21, due t o time constrai nts, a nd developed a platform of one of the large, j ust a programmatic document. Our first Constit ution was e stablis hed by the party's second Na ti onal Congress . Accordi ng to t he change s in t he sit uation and tasks , after two s uccessiv e congres ses (exce pt for five) different degrees of modificati on t o the Constituti on. Be cause of t he s peci al cir cumstances, the five party Constituti on has not bee n m odified, by t he Politburo after cha nges to t he Constitution. Current i s devel oped i n September 198 2 the party's 12 big cha nges to t he party Constituti on. 30 years, on the premise of maintaini ng the stability of the ba sic contents of the party Constituti on, 13 a nd 1 4 and Congres s of the part y, 16 a nd 17 are wit h varying degrees of modifi cation of the Constituti on. Constituti on modified of histor y, is we party 9 2 great deve lopme nt cours e of miniat ure and s how, a i s show has w e party tightly reli es on people complete d and adva nce three pie ces eve nt of great cours e; II is s how has we party i n le d China rev oluti on, a nd construction a nd reform long-term practi ce in t he, constantly adva nce Marxist China of pr oce ss, constantly a dvance the ory innovati on of great course; t hree i s show has we party constantly s ummary party of constructi on of new created, and ne w experi ence, constantly improv e part y of construction sci entific lev el of great cours e. T his 18 big thr ough of Constit ution, except "master" outsi de total 1 1 chapte r, total 53 article, specific for master ; first chapter members; s econd chapter party of orga nization system; t hird cha pter part y of Central Organizati on; fourth cha pter party of pla ce orga nization; fifth cha pter party of gras s-roots organi zations ; sixth chapter party of ca dres; sevent h chapter party of di sci pline ; eight h chapter party of

disci pline check organ; Ni neth cha pter party; te nth chapter party and Communist Yout h Leag ue of relations hip; 11th cha pter femme fatale flag. And the party compared t o

数学试题(文科)

第 3 页,共 12 页

Party branch Se cretary of a party le cture of tw o speeches: t utori ng cov ers all of the new party Constit ution tw o educati on has ki cked off. Study of the Constit ution of this practi ce is a very important part. Today I'll give y ou a new s ection of the Constituti on on t he counselli ng of learning les sons, hope, t hroug h to day's tutori al, further cons olidati on of all t he party members of the new party Constituti on st udy res ults to hel p you better understa nd a nd gras p the importa nt knowledge i n the new Constitution. T his tut orial ha s the foll owi ng three compone nts: one i s the im portance of studyi ng and impl ementing of the ne w party Constitution; s econd, com pared wit h the 17 adopte d by the party Constit ution, the mai n changes i n the content a nd i nterpretation of the new Constitution; t he third is at this stage how to make full use of the ne w esse nce of the content of the Constituti on t o guide party buil ding. Tw o themati c education in party lect ure notes, a nd st udy a nd carry out the significa nce of the ne w Constituti on (a) studying a nd impl ementing t he party Constituti on is t he most basi c obligations of each party member. We party party yilai , has bee n put learni ng impleme nt Constituti on a s a items regular of work one of impl ement Yu alway s, and in different hist ory ba ckg round and the different reality nee d of situation Xia, al so w ill as a items im portant sex work, conce ntrated to, a nd hig hlight to, and separate to be arra ngements, only on reform more t han 3 0 years to, most importa nt of concentrated lear ning im plement Constitution on ha s four times: (ii) learni ng implement Constit ut ion, is mainte nance party of soli darity unified, a nd complete d party of the task of strong guarante e. Both history a nd real it y show that only determined t o uphold the supremacy of the Constit ution, accor ding to t he educati onal ma nagement of party members a nd cadres at the request of the party Constituti on t o ensure the party stri ctly implement t he party's poli cy and disci pline, to mai ntain party unity, completed the party's vari ous tasks t o pr ovide a strong guara ntee. (C) st udyi ng and implementing the part y Constitution, consoli dating t he party's r uling stat us, a nd the i nevitable requirement of maintai ning t he a dvanced nature of the party. Comrade XI Jinpi ng pointed out: the Constit ution is t he fundame ntal law of the party, the party must follow t he General rules . I n all t he a ctivities of the party organization at all levels, will continue to g uide the broa d mass es of party member s and ca dres, es pecially leadi ng ca dres, cons cienti ously study the par ty Constitution, a bide by t he party Constit ution, the implementati on of the party Constitution a nd mai ntaini ng party Constituti on, shoul d stre ngthe n party spirit, enhance the consci ous ne s s, purpose awarene ss, power aware nes s, sit uation aware ness, se nse of res ponsibility, earnestly shari ng s orrow for t he party, re sp ons ible for the countr y, for t he people a nd dedi cation. (D) studying and implementing t he party Constit ution, is to s olve the problems the party's act ual nee ds. Comrade XI Jinping s aid all party members must a chieve , leadi ng cadre s shoul d first do w hatever the

(2)求 三 棱 锥 M ? A B D 的体积. B A O D C O D B M C

A

19.(本小题满分 14 分)

已知数列 {an } 的前 n 项和为 Sn , 且满足 a1 ? (1)求证:数列 { (2)求 Sn 和 an . 20.(本小题满分 14 分) 已知椭圆 C 过点 M (1,

1 * ,an ? ?2Sn ? Sn?1 ( n ? 2 且 n ? N ). 2

1 } 是等差数列; Sn

6 ) ,点 F (? 2,0) 是椭圆的左焦点,点 P 、 Q 是椭圆 C 上 2

的两个动点,且 PF 、 MF 、 QF 成等差数列. (1)求椭圆 C 的标准方程; (2)求证:线段 PQ 的垂直平分线经过一个定点 A . 21.(本小题满分 14 分) 设函数 f ? x ? ? a ln x ? 处的切线的斜率为 0 . (1)求 b 的值; (2)若存在 x ??1, ?? ? ,使得 f ? x ? ?

1? a 2 x ? bx ,a ? R 且 a ? 1 . 曲线 y ? f ? x ? 在点 ?1, f ?1? ? 2

a ,求 a 的取值范围. a ?1

Constitution provi des t hat no party member ca n do, leadi ng ca dres s hould take the lea d in not doing . In stri ct accorda nce with the party Constit ution Party member leading ca dre must have six basi c conditions and improv e their own qualities and a bilitie s, regular che cks a nd pay for their ow n shor tcomings . Especially i n the i deal and beli ef , persist in seeking tr uth from facts, and pr omote the scie ntific devel opme nt, maintain close ties wit h, strengt heni ng moral cultivation, and strict a dhere nce t o party di sci pline for party members to lea d by example . Second, the main cha nge in t he ne w Constitution and the i nterpretation of the 1 8th Nati onal Congress of the Chines e Communist Part y, to e nd on November 1 4, 201 2 Gen eral Assem bly vote, the Constituti on of the Communist Party of China (Amendment) Act. 1 8 Congress of the party By the Constitution of the Communist Party of China (Amendment) Act, against 17 in six large t hroug h a revisi on of the party Constituti on. In order to 字 签 收 验 过 经 处 行 进 基 和 清 地 场 置 位 稳 平 齐 整 放 堆 类 分 格 规 、 种 品 按 求 要 的 项 七 第 合 符 质 材 。 底 交 细 详 了 业 作 向 员 人 理 管 关 有 由 并 , 准 批 已 案 方 设 搭 架 手 脚 外 comply w ith the devel opme nt of the situati on a nd task s change , every nati onal Congress of our party wi ll be of varying degrees of revision of the Constituti on. A big party was held in 19 21, due t o time constrai nts, a nd developed a platform of one of the large, j ust a programmatic document. Our first Constit ution was e stablis hed by the party's second Nati onal Congress . Accordi ng t o t he change s in t he sit uation and tasks , after two s uccessiv e congres ses (exce pt for five) different degrees of modificati on t o the Constituti on. Be cause of t he s peci al cir cumstances, the five party Constituti on has not bee n modified, by t he Politburo aft er cha nges to t he Constitution. Current i s devel oped i n September 198 2 the party's 12 big cha nges to t he party Constituti on. 30 years, on the premise of maintaini ng the stability of the ba sic contents of the party Constituti on, 13 a nd 1 4 and Congres s of the part y, 16 a nd 17 are wit h varying degrees of modifi cation of the Constituti on. Constituti on modified of histor y, is we party 9 2 great deve lopme nt cours e of miniat ure and s how, a i s show has w e party tightly reli es on people complete d and adva nce three pie ces eve nt of great cours e; II is s how has we party i n le d China rev oluti on, a nd construction a nd reform long -term practi ce in t he, constantly adva nce Marxist China of pr oce ss, constantly a dvance the ory innovati on of great course; t hree i s show has we party constantly s ummary party of constructi on of new created, and ne w experi ence, constantly improv e party of construction sci enti fic lev el of great cours e. T his 18 big thr ough of Constit ution, except "master" outsi de total 1 1 chapte r, total 53 article, specific for master ; first chapter members; s econd chapter party of orga nization system; t hird cha pter party of Central Organizati on; fourth cha pter party of pla ce orga nization; fifth cha pter party of gras s-roots organi zations ; sixth chapter party of ca dres; sevent h chapter party of di sci pline ; eight h chapter party of disci pline check organ; Ni neth cha pter party; te nth chapter party and Communist Yout h Leag ue of relations hip; 11th cha pter femme fatale flag. And the party compared to

Party branch Se cretary of a party le cture of tw o speeches: t utori ng cov ers all of the new party Constit ution tw o educati on has ki cked off. Study of the Constit ution of this practi ce is a very important part. Today I'll give y ou a new s ection of the Constituti on on t he counselli ng of learning les sons, hope, t hroug h today's tutori al, further cons olidati on of all t he party members of the new party Constituti on st udy res ults to hel p you better understa nd a nd gras p the importa nt knowledge i n the new Constitution. T his tut orial ha s the foll owi ng three compone nts: one i s the im portance of studyi ng and impl ementing of the ne w party Constitution; s econd, com pared wit h the 17 adopte d by the party Constit ution, the mai n changes i n the content a nd i nterpretation of the new Constitution; t he third is at this stage how to make full use of the ne w esse nce of the content of the Constituti on t o guide party buil ding. Tw o themati c education in party lect ure notes, a nd st udy a nd carry out the significa nce of the ne w Constituti on (a) studying a nd impl ementing t he party Constituti on is t he most basi c obligations of each party member. We party party yilai , has bee n put learni ng impleme nt Constituti on a s a items regular of work one of impl ement Yu alway s, and in different hist ory ba ckg round and the different reality nee d of situation Xia, al so w ill as a items im portant sex work, conce ntrated to, a nd hig hlight to, and separate to be arra ngements, only on reform more t han 3 0 years to, most importa nt of concentrated lear ning im plem ent Constitution on ha s four times: (ii) learni ng implement Constit ution, is mainte nance party of soli darity unified, a nd com plete d party of the task of strong guarante e. Both history a nd real ity show that only determined t o uphold the supremacy of the Constit ution, accor ding to t he educati onal ma nagement of party members a nd cadres at the request of the party Constituti on t o ensure the party stri ctly implement t he party's poli cy and disci pline, to mai ntain party unity, completed the party's vari ous tasks t o pr ovide a strong guara ntee. (C) st udyi ng and implementing the party Constitution, consoli dating t he party's r uling stat us, a nd the i nevitable requirement of maintai ning t he a dvanced nature of the party. Comrade XI Jinpi ng pointed out: the Constit ution is t he fundame ntal law of the party, the party must follow t he General rules . I n all t he a ctivities of the party organization at all levels, will continue to g uide the broa d mass es of party member s and ca dres, es pecially leadi ng ca dres, cons cienti ously study the par ty Constitution, a bide by t he party Constit ution, the implementati on of the party Constitution a nd mai ntaini ng party Constituti on, shoul d stre ngthe n party spirit, enhance the consci ous nes s, purpose awarene ss, power aware nes s, sit uation aware ness, se nse of res ponsibility, earnestly shari ng s orrow for t he party, re spons ible for the countr y, for t he people a nd dedi cation. ( D) studying and implementing t he party Constit ution, is to s olve the problems the party's act ual nee ds. Comrade XI Jinping s aid all party mem bers must a chieve , leadi ng cadre s shoul d first do w hatever the

惠州市 2015 届高三第二次调研考试
一.选择题:本大题共 10 小题,每小题 5 分,共 50 分。 题号 答案 1 2 3 4 5 6 7 8 9 10

A
2

B

B

C

D

C

A

C

D

B

1【解析】方程 x ? 4 ? 0 解得 x ? ?2 ,则 B ? {?2, 2} ? A

B ? {?2}

2【解析】由题意可知, z ? i ? 1 ? ?1 ? i ,则对应的点为 (?1,1) 3【解析】将全称命题改为特称命题即可 4【解析】 AC ? AB ? BC ? (1, 10) ,则 ?

1 1 AC ? (? , ? 5) 2 2

5【解析】 y? ? cos x ? 2 ? 0 ,所以 y ? sin x ? 2 x 在区间 (0, ??) 上为增函数.或者用排除 法 6【解析】由约束条件画出可行域如图所示, 则根据目标函数画出直线 l0 : y ? ?

x+y-2=0 y

1 x, 2

由图形可知将直线 l0 平移至 A 点取得 z 的 最小值,解方程组 ?

A(1,1) y=x l0: x+2y=0 2x-y+2=0 x

?x ? y ? 0 ?x ? y ? 2 ? 0

得?

?x ? 1 ,即 A(1, 1) 代入可得 z ? 3 . ?y ?1

7【解析】从图可知 A ? 2 ,且 点(

5? ? ? , 2) 的 坐 标 代 入 函 数 f ( x) ? 2 s i n( x 2? ? , ) 且 ? ? 得 ? ? ? 所以函数 12 2 3

T 11? 5? ? 2? 2? ? ? ? ,得 T ? ? ,故 ? ? ? ? 2 ,将 2 12 12 2 T ?

?? ? y ? f ( x) 的表达式为 f ( x) ? 2sin ? 2 x ? ? . 3? ?
8【解析】方程 x ? x ? n ? 0 有实数根时,? ? 1 ? 4n ? 0 得 n ?
2

1 1 ,由几何概型知 P ? . 4 4

9【解析】圆心 (1, ? 2) 到 x 轴的距离为 d ? y ? 2 ,圆半径 r ? 2 5 ,由勾股定理知半弦

Constitution provi des t hat no party member ca n do, leadi ng ca dres s hould take the lea d in not doing . In stri ct accorda nce with the party Constit ution Party member leading ca dre must have six basi c conditions and improv e their own qualities and a bilitie s, regular che cks a nd pay for their ow n shor tcomings . Especi ally i n the i deal and beli ef, persist in seeking tr uth from facts, and pr omote the scie ntific devel opme nt, maintain close ties wit h, strengt heni ng moral cultivation, and strict a dhere nce t o party di sci pline for party members to lea d by example . Second, the main cha nge in t he ne w Constitution and the i nterpretation of the 1 8th Nati onal Congress of the Chines e Communist Part y, to e nd on November 1 4, 201 2 General Assem bly vote, the Constituti on of the Communist Party of China (Amendment) Act. 1 8 Congress of the party By the Constitution of the Communist Party of China (Amendment) Act, against 17 in six large t hroug h a revisi on of the part y Constituti on. In order to 字 签 收 验 过 经 处 行 进 基 和 清 地 场 置 位 稳 平 齐 整 放 堆 类 分 格 规 、 种 品 按 求 要 的 项 七 第 合 符 质 材 。 底 交 细 详 了 业 作 向 员 人 理 管 关 有 由 并 , 准 批 已 案 方 设 搭 架 手 脚 外 comply w ith the devel opme nt of the situati on a nd task s change , every nati onal Congress of our party wi ll be of varying degrees of revision of the Constituti on. A big party was held in 19 21, due t o time constrai nts, a nd developed a platform of one of the large, j ust a programmatic document. Our first Constit ution was e stablis hed by the party's second Na ti onal Congress . Accordi ng to t he change s in t he sit uation and tasks , after two s uccessiv e congres ses (exce pt for five) different degrees of modificati on t o the Constituti on. Be cause of t he s peci al cir cumstances, the five party Constituti on has not bee n m odified, by t he Politburo after cha nges to t he Constitution. Current i s devel oped i n September 198 2 the party's 12 big cha nges to t he party Constituti on. 30 years, on the premise of maintaini ng the stability of the ba sic contents of the party Constituti on, 13 a nd 1 4 and Congres s of the part y, 16 a nd 17 are wit h varying degrees of modifi cation of the Constituti on. Constituti on modified of histor y, is we party 9 2 great deve lopme nt cours e of miniat ure and s how, a i s show has w e party tightly reli es on people complete d and adva nce three pie ces eve nt of great cours e; II is s how has we party i n le d China rev oluti on, a nd construction a nd reform long-term practi ce in t he, constantly adva nce Marxist China of pr oce ss, constantly a dvance the ory innovati on of great course; t hree i s show has we party constantly s ummary party of constructi on of new created, and ne w experi ence, constantly improv e part y of construction sci entific lev el of great cours e. T his 18 big thr ough of Constit ution, except "master" outsi de total 1 1 chapte r, total 53 article, specific for master ; first chapter members; s econd chapter party of orga nization system; t hird cha pter part y of Central Organizati on; fourth cha pter party of pla ce orga nization; fifth cha pter party of gras s-roots organi zations ; sixth chapter party of ca dres; sevent h chapter party of di sci pline ; eight h chapter party of

disci pline check organ; Ni neth cha pter party; te nth chapter party and Communist Yout h Leag ue of relations hip; 11th cha pter femme fatale flag. And the party compared t o

数学试题(文科)

第 5 页,共 12 页

Party branch Se cretary of a party le cture of tw o speeches: t utori ng cov ers all of the new party Constit ution tw o educati on has ki cked off. Study of the Constit ution of this practi ce is a very important part. Today I'll give y ou a new s ection of the Constituti on on t he counselli ng of learning les sons, hope, t hroug h to day's tutori al, further cons olidati on of all t he party members of the new party Constituti on st udy res ults to hel p you better understa nd a nd gras p the importa nt knowledge i n the new Constitution. T his tut orial ha s the foll owi ng three compone nts: one i s the im portance of studyi ng and impl ementing of the ne w party Constitution; s econd, com pared wit h the 17 adopte d by the party Constit ution, the mai n changes i n the content a nd i nterpretation of the new Constitution; t he third is at this stage how to make full use of the ne w esse nce of the content of the Constituti on t o guide party buil ding. Tw o themati c education in party lect ure notes, a nd st udy a nd carry out the significa nce of the ne w Constituti on (a) studying a nd impl ementing t he party Constituti on is t he most basi c obligations of each party member. We party party yilai , has bee n put learni ng impleme nt Constituti on a s a items regular of work one of impl ement Yu alway s, and in different hist ory ba ckg round and the different reality nee d of situation Xia, al so w ill as a items im portant sex work, conce ntrated to, a nd hig hlight to, and separate to be arra ngements, only on reform more t han 3 0 years to, most importa nt of concentrated lear ning im plement Constitution on ha s four times: (ii) learni ng implement Constit ut ion, is mainte nance party of soli darity unified, a nd complete d party of the task of strong guarante e. Both history a nd real it y show that only determined t o uphold the supremacy of the Constit ution, accor ding to t he educati onal ma nagement of party members a nd cadres at the request of the party Constituti on t o ensure the party stri ctly implement t he party's poli cy and disci pline, to mai ntain party unity, completed the party's vari ous tasks t o pr ovide a strong guara ntee. (C) st udyi ng and implementing the part y Constitution, consoli dating t he party's r uling stat us, a nd the i nevitable requirement of maintai ning t he a dvanced nature of the party. Comrade XI Jinpi ng pointed out: the Constit ution is t he fundame ntal law of the party, the party must follow t he General rules . I n all t he a ctivities of the party organization at all levels, will continue to g uide the broa d mass es of party member s and ca dres, es pecially leadi ng ca dres, cons cienti ously study the par ty Constitution, a bide by t he party Constit ution, the implementati on of the party Constitution a nd mai ntaini ng party Constituti on, shoul d stre ngthe n party spirit, enhance the consci ous ne s s, purpose awarene ss, power aware nes s, sit uation aware ness, se nse of res ponsibility, earnestly shari ng s orrow for t he party, re sp ons ible for the countr y, for t he people a nd dedi cation. (D) studying and implementing t he party Constit ution, is to s olve the problems the party's act ual nee ds. Comrade XI Jinping s aid all party members must a chieve , leadi ng cadre s shoul d first do w hatever the

长为 r 2 ? d 2 ? 4 ,则弦长为 8 . 10【解析】当各班人数除以 10 的余数大于 6 时再增选一名代表,可以看作先用该班人数 除以 10 再用这个余数与 3 相加,若和大于等于 10 就增选一名代表,将二者合并便得到推 选代表人数 y 与该班人数 x 之间的函数关系,用取整函数 y ? [ x] ( [ x ] 表示不大于 x 的最 大整数)可以表示为 y ? [

x?3 ] .或者用特值法验证也可. 10

二、填空题(本大题共 5 小题,共 20 分。第 14、15 题为选做题,考生只选做其中一题, 两题全答的,只计前一题的得分. ) 11. y ? 1 12.16
2

13.

? 4

14.1

15. 1

11【解析】化为抛物线的标准方程 x ? ? 4 y ,则 2 p ? 4 ,得 p ? 2 ,且焦点在 y 轴上, 所以 y ?

p ? 1 ,即准线方程为 y ? 1 . 2

2 12【解析】由等比数列的性质知 a5 ? a9 ? a7 ,故 a9 ? 16 .

13【解析】因为

AB BC sin A 2 ? ,所以 sin C ? ,而 AB ? BC ,所以 ? AB ? sin C sin A BC 2
? . 4
2 2

?C ? ?A ,所以 ?C ?

14【解析】直线的普通方程为 x ? y ? 4 ? 0 ,圆的普通方程为 ? x ? 2 ? ? ? y ? 2 ? ? 8 ,圆 心到直线的距离为 d ?

2?2?4 12 ? ? ?1?
2

? 2 2 ? r ,所以直线 l 和曲线 C 相切,公共点只有1

个. 15【解析】因为 CE ? 5 ,且 OC ?r ? 3 ,所以 OE ? OC ? CE ? 3 ?
2 2 2

? 5?

2

?2,

所以 AE ? OA ? OE ? 3 ? 2 ? 1 . 或者由相交弦定理

AE ? BE ? CE ? DE ? ( 5)2 ? 5 ,
即 AE ? (2r ? AE ) ? 5 ,且 AE ? r ,得 AE ? 1 . 三、解答题:本大题共6小题,满分80分.解答须写出文字说明、证明过程和演算步骤. 16. (本小题满分 12 分)
Constitution provi des t hat no party member ca n do, leadi ng ca dres s hould take the lea d in not doing . In stri ct accorda nce with the party Constit ution Party member leading ca dre must have six basi c conditions and improv e their own qualities and a bilitie s, regular che cks a nd pay for their ow n shor tcomings . Especially i n the i deal and beli ef , persist in seeking tr uth from facts, and pr omote the scie ntific devel opme nt, maintain close ties wit h, strengt heni ng moral cultivation, and strict a dhere nce t o party di sci pline for party members to lea d by example . Second, the main cha nge in t he ne w Constitution and the i nterpretation of the 1 8th Nati onal Congress of the Chines e Communist Part y, to e nd on November 1 4, 201 2 Gen eral Assem bly vote, the Constituti on of the Communist Party of China (Amendment) Act. 1 8 Congress of the party By the Constitution of the Communist Party of China (Amendment) Act, against 17 in six large t hroug h a revisi on of the party Constituti on. In order to 字 签 收 验 过 经 处 行 进 基 和 清 地 场 置 位 稳 平 齐 整 放 堆 类 分 格 规 、 种 品 按 求 要 的 项 七 第 合 符 质 材 。 底 交 细 详 了 业 作 向 员 人 理 管 关 有 由 并 , 准 批 已 案 方 设 搭 架 手 脚 外 comply w ith the devel opme nt of the situati on a nd task s change , every nati onal Congress of our party wi ll be of varying degrees of revision of the Constituti on. A big party was held in 19 21, due t o time constrai nts, a nd developed a platform of one of the large, j ust a programmatic document. Our first Constit ution was e stablis hed by the party's second Nati onal Congress . Accordi ng t o t he change s in t he sit uation and tasks , after two s uccessiv e congres ses (exce pt for five) different degrees of modificati on t o the Constituti on. Be cause of t he s peci al cir cumstances, the five party Constituti on has not bee n modified, by t he Politburo aft er cha nges to t he Constitution. Current i s devel oped i n September 198 2 the party's 12 big cha nges to t he party Constituti on. 30 years, on the premise of maintaini ng the stability of the ba sic contents of the party Constituti on, 13 a nd 1 4 and Congres s of the part y, 16 a nd 17 are wit h varying degrees of modifi cation of the Constituti on. Constituti on modified of histor y, is we party 9 2 great deve lopme nt cours e of miniat ure and s how, a i s show has w e party tightly reli es on people complete d and adva nce three pie ces eve nt of great cours e; II is s how has we party i n le d China rev oluti on, a nd construction a nd reform long -term practi ce in t he, constantly adva nce Marxist China of pr oce ss, constantly a dvance the ory innovati on of great course; t hree i s show has we party constantly s ummary party of constructi on of new created, and ne w experi ence, constantly improv e party of construction sci enti fic lev el of great cours e. T his 18 big thr ough of Constit ution, except "master" outsi de total 1 1 chapte r, total 53 article, specific for master ; first chapter members; s econd chapter party of orga nization system; t hird cha pter party of Central Organizati on; fourth cha pter party of pla ce orga nization; fifth cha pter party of gras s-roots organi zations ; sixth chapter party of ca dres; sevent h chapter party of di sci pline ; eight h chapter party of disci pline check organ; Ni neth cha pter party; te nth chapter party and Communist Yout h Leag ue of relations hip; 11th cha pter femme fatale flag. And the party compared to

Party branch Se cretary of a party le cture of tw o speeches: t utori ng cov ers all of the new party Constit ution tw o educati on has ki cked off. Study of the Constit ution of this practi ce is a very important part. Today I'll give y ou a new s ection of the Constituti on on t he counselli ng of learning les sons, hope, t hroug h today's tutori al, further cons olidati on of all t he party members of the new party Constituti on st udy res ults to hel p you better understa nd a nd gras p the importa nt knowledge i n the new Constitution. T his tut orial ha s the foll owi ng three compone nts: one i s the im portance of studyi ng and impl ementing of the ne w party Constitution; s econd, com pared wit h the 17 adopte d by the party Constit ution, the mai n changes i n the content a nd i nterpretation of the new Constitution; t he third is at this stage how to make full use of the ne w esse nce of the content of the Constituti on t o guide party buil ding. Tw o themati c education in party lect ure notes, a nd st udy a nd carry out the significa nce of the ne w Constituti on (a) studying a nd impl ementing t he party Constituti on is t he most basi c obligations of each party member. We party party yilai , has bee n put learni ng impleme nt Constituti on a s a items regular of work one of impl ement Yu alway s, and in different hist ory ba ckg round and the different reality nee d of situation Xia, al so w ill as a items im portant sex work, conce ntrated to, a nd hig hlight to, and separate to be arra ngements, only on reform more t han 3 0 years to, most importa nt of concentrated lear ning im plem ent Constitution on ha s four times: (ii) learni ng implement Constit ution, is mainte nance party of soli darity unified, a nd com plete d party of the task of strong guarante e. Both history a nd real ity show that only determined t o uphold the supremacy of the Constit ution, accor ding to t he educati onal ma nagement of party members a nd cadres at the request of the party Constituti on t o ensure the party stri ctly implement t he party's poli cy and disci pline, to mai ntain party unity, completed the party's vari ous tasks t o pr ovide a strong guara ntee. (C) st udyi ng and implementing the party Constitution, consoli dating t he party's r uling stat us, a nd the i nevitable requirement of maintai ning t he a dvanced nature of the party. Comrade XI Jinpi ng pointed out: the Constit ution is t he fundame ntal law of the party, the party must follow t he General rules . I n all t he a ctivities of the party organization at all levels, will continue to g uide the broa d mass es of party member s and ca dres, es pecially leadi ng ca dres, cons cienti ously study the par ty Constitution, a bide by t he party Constit ution, the implementati on of the party Constitution a nd mai ntaini ng party Constituti on, shoul d stre ngthe n party spirit, enhance the consci ous nes s, purpose awarene ss, power aware nes s, sit uation aware ness, se nse of res ponsibility, earnestly shari ng s orrow for t he party, re spons ible for the countr y, for t he people a nd dedi cation. ( D) studying and implementing t he party Constit ution, is to s olve the problems the party's act ual nee ds. Comrade XI Jinping s aid all party mem bers must a chieve , leadi ng cadre s shoul d first do w hatever the

解:本题考查平面向量与三角函数的综合应用,侧重考查三角函数的性质. (1)由 a ? ( 3 sin x) ? (sin x) ? 4(sin x) ,
2 2 2 2

……………1 分 ……………2 分

b ? (cos x)2 ? (sin x)2 ? 1 ,
及 a ? b ,得 4sin x ? 1 .又 x ? [0,
2

2

?
2

] ,从而 sin x ?

1 , 2

……………4 分 ……………6 分

所以 x ?

?
6

.

(2)

f ( x) ? a ? b ? 3 sin x ? cos x ? sin 2 x ?

3 1 1 ? 1 sin 2 x ? cos 2 x ? ? sin(2 x ? ) ? 2 2 2 6 2

…9 分

? ? ? 5? x ? [0, ], 则 2 x ? ? [? , ] 2 6 6 6
? 当 2x ?

?
6

?

?
2

,即 x ?
3 . 2

?

? [0, ] 时, sin(2 x ? ) 取最大值 1. 3 2 6

?

?

…………11 分 ……………12 分

所以 f ( x ) 的最大值为 17. (本小题满分 12 分)

解(1)设事件 A =“某人获得优惠金额不低于 300 元”, 则 P ( A) ?

……………1 分 ……………4 分

150 ? 100 5 ? . 50 ? 150 ? 100 6

(2)设事件 B =“从这 6 人中选出两人,他们获得相等优惠金额” , ……………5 分 由题意按分层抽样方式选出的 6 人中,获得优惠 200 元的 1 人,获得优惠 500 元的 3 人,获得优惠 300 元的 2 人, 分别记为 a1 , b1 , b2 , b3 , c1 , c2 ,从中选出两人的所有基本事件如下: ……………6 分

a1b1 , a1b2 , a1b3 , a1c1 , a1c2 , b1b2 , b1b3 , b1c1 , b1c2 , b2b3 , b2 c1 , b2c2 , b3c1 , b3c2 , c1c2 ,共 15 个.
其中使得事件 B 成立的为 b1b2 , b1b3 , b2b3 , c1c2 ,共 4 个 ……………9 分 ……………10 分

Constitution provi des t hat no party member ca n do, leadi ng ca dres s hould take the lea d in not doing . In stri ct accorda nce with the party Constit ution Party member leading ca dre must have six basi c conditions and improv e their own qualities and a bilitie s, regular che cks a nd pay for their ow n shor tcomings . Especi ally i n the i deal and beli ef, persist in seeking tr uth from facts, and pr omote the scie ntific devel opme nt, maintain close ties wit h, strengt heni ng moral cultivation, and strict a dhere nce t o party di sci pline for party members to lea d by example . Second, the main cha nge in t he ne w Constitution and the i nterpretation of the 1 8th Nati onal Congress of the Chines e Communist Part y, to e nd on November 1 4, 201 2 General Assem bly vote, the Constituti on of the Communist Party of China (Amendment) Act. 1 8 Congress of the party By the Constitution of the Communist Party of China (Amendment) Act, against 17 in six large t hroug h a revisi on of the part y Constituti on. In order to 字 签 收 验 过 经 处 行 进 基 和 清 地 场 置 位 稳 平 齐 整 放 堆 类 分 格 规 、 种 品 按 求 要 的 项 七 第 合 符 质 材 。 底 交 细 详 了 业 作 向 员 人 理 管 关 有 由 并 , 准 批 已 案 方 设 搭 架 手 脚 外 comply w ith the devel opme nt of the situati on a nd task s change , every nati onal Congress of our party wi ll be of varying degrees of revision of the Constituti on. A big party was held in 19 21, due t o time constrai nts, a nd developed a platform of one of the large, j ust a programmatic document. Our first Constit ution was e stablis hed by the party's second Na ti onal Congress . Accordi ng to t he change s in t he sit uation and tasks , after two s uccessiv e congres ses (exce pt for five) different degrees of modificati on t o the Constituti on. Be cause of t he s peci al cir cumstances, the five party Constituti on has not bee n m odified, by t he Politburo after cha nges to t he Constitution. Current i s devel oped i n September 198 2 the party's 12 big cha nges to t he party Constituti on. 30 years, on the premise of maintaini ng the stability of the ba sic contents of the party Constituti on, 13 a nd 1 4 and Congres s of the part y, 16 a nd 17 are wit h varying degrees of modifi cation of the Constituti on. Constituti on modified of histor y, is we party 9 2 great deve lopme nt cours e of miniat ure and s how, a i s show has w e party tightly reli es on people complete d and adva nce three pie ces eve nt of great cours e; II is s how has we party i n le d China rev oluti on, a nd construction a nd reform long-term practi ce in t he, constantly adva nce Marxist China of pr oce ss, constantly a dvance the ory innovati on of great course; t hree i s show has we party constantly s ummary party of constructi on of new created, and ne w experi ence, constantly improv e part y of construction sci entific lev el of great cours e. T his 18 big thr ough of Constit ution, except "master" outsi de total 1 1 chapte r, total 53 article, specific for master ; first chapter members; s econd chapter party of orga nization system; t hird cha pter part y of Central Organizati on; fourth cha pter party of pla ce orga nization; fifth cha pter party of gras s-roots organi zations ; sixth chapter party of ca dres; sevent h chapter party of di sci pline ; eight h chapter party of

disci pline check organ; Ni neth cha pter party; te nth chapter party and Communist Yout h Leag ue of relations hip; 11th cha pter femme fatale flag. And the party compared t o

数学试题(文科)

第 7 页,共 12 页

Party branch Se cretary of a party le cture of tw o speeches: t utori ng cov ers all of the new party Constit ution tw o educati on has ki cked off. Study of the Constit ution of this practi ce is a very important part. Today I'll give y ou a new s ection of the Constituti on on t he counselli ng of learning les sons, hope, t hroug h to day's tutori al, further cons olidati on of all t he party members of the new party Constituti on st udy res ults to hel p you better understa nd a nd gras p the importa nt knowledge i n the new Constitution. T his tut orial ha s the foll owi ng three compone nts: one i s the im portance of studyi ng and impl ementing of the ne w party Constitution; s econd, com pared wit h the 17 adopte d by the party Constit ution, the mai n changes i n the content a nd i nterpretation of the new Constitution; t he third is at this stage how to make full use of the ne w esse nce of the content of the Constituti on t o guide party buil ding. Tw o themati c education in party lect ure notes, a nd st udy a nd carry out the significa nce of the ne w Constituti on (a) studying a nd impl ementing t he party Constituti on is t he most basi c obligations of each party member. We party party yilai , has bee n put learni ng impleme nt Constituti on a s a items regular of work one of impl ement Yu alway s, and in different hist ory ba ckg round and the different reality nee d of situation Xia, al so w ill as a items im portant sex work, conce ntrated to, a nd hig hlight to, and separate to be arra ngements, only on reform more t han 3 0 years to, most importa nt of concentrated lear ning im plement Constitution on ha s four times: (ii) learni ng implement Constit ut ion, is mainte nance party of soli darity unified, a nd complete d party of the task of strong guarante e. Both history a nd real it y show that only determined t o uphold the supremacy of the Constit ution, accor ding to t he educati onal ma nagement of party members a nd cadres at the request of the party Constituti on t o ensure the party stri ctly implement t he party's poli cy and disci pline, to mai ntain party unity, completed the party's vari ous tasks t o pr ovide a strong guara ntee. (C) st udyi ng and implementing the part y Constitution, consoli dating t he party's r uling stat us, a nd the i nevitable requirement of maintai ning t he a dvanced nature of the party. Comrade XI Jinpi ng pointed out: the Constit ution is t he fundame ntal law of the party, the party must follow t he General rules . I n all t he a ctivities of the party organization at all levels, will continue to g uide the broa d mass es of party member s and ca dres, es pecially leadi ng ca dres, cons cienti ously study the par ty Constitution, a bide by t he party Constit ution, the implementati on of the party Constitution a nd mai ntaini ng party Constituti on, shoul d stre ngthe n party spirit, enhance the consci ous ne s s, purpose awarene ss, power aware nes s, sit uation aware ness, se nse of res ponsibility, earnestly shari ng s orrow for t he party, re sp ons ible for the countr y, for t he people a nd dedi cation. (D) studying and implementing t he party Constit ution, is to s olve the problems the party's act ual nee ds. Comrade XI Jinping s aid all party members must a chieve , leadi ng cadre s shoul d first do w hatever the

则 P( B) ?

4 . 15

……………12 分

18. (本小题满分 14 分) 解(1)证明:因为点 O 是菱形 ABCD 的对角线的交点, 所以 O 是 AC 的中点.又点 M 是棱 BC 的中点, 所以 OM 是 ?ABC 的中位线, OM // AB . ……2 分 因为 OM ? 平面 ABD , AB ? 平面 ABD ,………4 分 所以 OM // 平面 ABD . ……………6 分 ……………7 分 A B M O D C

(2)三棱锥 M ? ABD 的体积等于三棱锥 D ? ABM 的体积. 由题意, OM ? OD ? 3 , 因为 DM ? 3 2 ,所以 ?DOM ? 90 ,OD ? OM . 又因为菱形 ABCD ,所以 OD ? AC . 因为 OM

…………8 分 …………9 分 …………10 分 ……………11 分

AC ? O ,所以 OD ? 平面 ABC ,即 OD ? 平面 ABM

所以 OD ? 3 为三棱锥 D ? ABM 的高.

?ABM 的面积为 S?ABM =

1 1 3 9 3 ,……13 分 BA ? BM ? sin120 ? ? 6 ? 3 ? ? 2 2 2 2 1 9 3 . ? S?ABM ? OD ? 3 2
……………14 分

所求体积等于 VM ? ABD =VD? ABM ? 19.(本小题满分 14 分)

解(1)证明:当 n ? 2 时, an ? sn ? sn?1 ? ?2sn sn?1 ,①

……………2 分

? sn (1 ? 2sn?1 ) ? sn?1

由上式知若 sn ?1 ? 0 ,则 sn ? 0

s1 ? a1 ? 0 ,由递推关系知 sn ? 0(n ? N ? ) ,
∴由①式可得:当 n ? 2 时,

1 1 ? ?2 sn sn ?1 1 1 ? ? 2 ,公差为 2 . s1 a1

……………4 分

∴ { } 是等差数列,其中首项为

1 sn

……………6 分

Constitution provi des t hat no party member ca n do, leadi ng ca dres s hould take the lea d in not doing . In stri ct accorda nce with the party Constit ution Party member leading ca dre must have six basi c conditions and improv e their own qualities and a bilitie s, regular che cks a nd pay for their ow n shor tcomings . Especially i n the i deal and beli ef , persist in seeking tr uth from facts, and pr omote the scie ntific devel opme nt, maintain close ties wit h, strengt heni ng moral cultivation, and strict a dhere nce t o party di sci pline for party members to lea d by example . Second, the main cha nge in t he ne w Constitution and the i nterpretation of the 1 8th Nati onal Congress of the Chines e Communist Part y, to e nd on November 1 4, 201 2 Gen eral Assem bly vote, the Constituti on of the Communist Party of China (Amendment) Act. 1 8 Congress of the party By the Constitution of the Communist Party of China (Amendment) Act, against 17 in six large t hroug h a revisi on of the party Constituti on. In order to 字 签 收 验 过 经 处 行 进 基 和 清 地 场 置 位 稳 平 齐 整 放 堆 类 分 格 规 、 种 品 按 求 要 的 项 七 第 合 符 质 材 。 底 交 细 详 了 业 作 向 员 人 理 管 关 有 由 并 , 准 批 已 案 方 设 搭 架 手 脚 外 comply w ith the devel opme nt of the situati on a nd task s change , every nati onal Congress of our party wi ll be of varying degrees of revision of the Constituti on. A big party was held in 19 21, due t o time constrai nts, a nd developed a platform of one of the large, j ust a programmatic document. Our first Constit ution was e stablis hed by the party's second Nati onal Congress . Accordi ng t o t he change s in t he sit uation and tasks , after two s uccessiv e congres ses (exce pt for five) different degrees of modificati on t o the Constituti on. Be cause of t he s peci al cir cumstances, the five party Constituti on has not bee n modified, by t he Politburo aft er cha nges to t he Constitution. Current i s devel oped i n September 198 2 the party's 12 big cha nges to t he party Constituti on. 30 years, on the premise of maintaini ng the stability of the ba sic contents of the party Constituti on, 13 a nd 1 4 and Congres s of the part y, 16 a nd 17 are wit h varying degrees of modifi cation of the Constituti on. Constituti on modified of histor y, is we party 9 2 great deve lopme nt cours e of miniat ure and s how, a i s show has w e party tightly reli es on people complete d and adva nce three pie ces eve nt of great cours e; II is s how has we party i n le d China rev oluti on, a nd construction a nd reform long -term practi ce in t he, constantly adva nce Marxist China of pr oce ss, constantly a dvance the ory innovati on of great course; t hree i s show has we party constantly s ummary party of constructi on of new created, and ne w experi ence, constantly improv e party of construction sci enti fic lev el of great cours e. T his 18 big thr ough of Constit ution, except "master" outsi de total 1 1 chapte r, total 53 article, specific for master ; first chapter members; s econd chapter party of orga nization system; t hird cha pter party of Central Organizati on; fourth cha pter party of pla ce orga nization; fifth cha pter party of gras s-roots organi zations ; sixth chapter party of ca dres; sevent h chapter party of di sci pline ; eight h chapter party of disci pline check organ; Ni neth cha pter party; te nth chapter party and Communist Yout h Leag ue of relations hip; 11th cha pter femme fatale flag. And the party compared to

Party branch Se cretary of a party le cture of tw o speeches: t utori ng cov ers all of the new party Constit ution tw o educati on has ki cked off. Study of the Constit ution of this practi ce is a very important part. Today I'll give y ou a new s ection of the Constituti on on t he counselli ng of learning les sons, hope, t hroug h today's tutori al, further cons olidati on of all t he party members of the new party Constituti on st udy res ults to hel p you better understa nd a nd gras p the importa nt knowledge i n the new Constitution. T his tut orial ha s the foll owi ng three compone nts: one i s the im portance of studyi ng and impl ementing of the ne w party Constitution; s econd, com pared wit h the 17 adopte d by the party Constit ution, the mai n changes i n the content a nd i nterpretation of the new Constitution; t he third is at this stage how to make full use of the ne w esse nce of the content of the Constituti on t o guide party buil ding. Tw o themati c education in party lect ure notes, a nd st udy a nd carry out the significa nce of the ne w Constituti on (a) studying a nd impl ementing t he party Constituti on is t he most basi c obligations of each party member. We party party yilai , has bee n put learni ng impleme nt Constituti on a s a items regular of work one of impl ement Yu alway s, and in different hist ory ba ckg round and the different reality nee d of situation Xia, al so w ill as a items im portant sex work, conce ntrated to, a nd hig hlight to, and separate to be arra ngements, only on reform more t han 3 0 years to, most importa nt of concentrated lear ning im plem ent Constitution on ha s four times: (ii) learni ng implement Constit ution, is mainte nance party of soli darity unified, a nd com plete d party of the task of strong guarante e. Both history a nd real ity show that only determined t o uphold the supremacy of the Constit ution, accor ding to t he educati onal ma nagement of party members a nd cadres at the request of the party Constituti on t o ensure the party stri ctly implement t he party's poli cy and disci pline, to mai ntain party unity, completed the party's vari ous tasks t o pr ovide a strong guara ntee. (C) st udyi ng and implementing the party Constitution, consoli dating t he party's r uling stat us, a nd the i nevitable requirement of maintai ning t he a dvanced nature of the party. Comrade XI Jinpi ng pointed out: the Constit ution is t he fundame ntal law of the party, the party must follow t he General rules . I n all t he a ctivities of the party organization at all levels, will continue to g uide the broa d mass es of party member s and ca dres, es pecially leadi ng ca dres, cons cienti ously study the par ty Constitution, a bide by t he party Constit ution, the implementati on of the party Constitution a nd mai ntaini ng party Constituti on, shoul d stre ngthe n party spirit, enhance the consci ous nes s, purpose awarene ss, power aware nes s, sit uation aware ness, se nse of res ponsibility, earnestly shari ng s orrow for t he party, re spons ible for the countr y, for t he people a nd dedi cation. ( D) studying and implementing t he party Constit ution, is to s olve the problems the party's act ual nee ds. Comrade XI Jinping s aid all party mem bers must a chieve , leadi ng cadre s shoul d first do w hatever the

(2)

1 1 1 1 . ? ? 2(n ? 1) ? ? 2(n ? 1) , ? sn ? 2n sn s1 a1

……………8 分

当 n ? 2 时, an ? sn ? sn ?1 ? ? 当 n ? 1 时, a1 ? s1 ?

1 , 2n(n ? 1)

……………10 分

1 不适合上式, 2

……………12 分



?1 ? , (n ? 1 n ,? N ) ? ?2 an ? ? 1 ? ?? , (n ? 2 n ,? N ) 2 n ( n ? 1 ) ? ?

……………14 分

20. (本小题满分 14 分) 解:(1)设椭圆 C 的方程为

x2 y 2 ? ? 1(a ? 0, b ? 0) , a 2 b2

…………1 分

6 ? ? 1 ? 4 由已知,得 ? 2 ? 2 ? 1 a b ? 2 2 ? ?a ? b ? 2
解得 ?

…………2 分

?a 2 ? 4 2 ?b ? 2
x2 y 2 ? ? 1. 4 2

…………3 分

∴椭圆的标准方程为

……………4 分

(2)证明:设 P( x1 , y1 ) , Q( x2 , y2 ) ,由椭圆的标准方程为 可知 PF ? ( x1 ? 2) ? y1 ? ( x1 ? 2) ? 2 ?
2 2 2

x2 y 2 ? ? 1, 4 2

x12 2 ? 2? x1 , …………5 分 2 2
………6 分

同理 QF ? 2 ?

2 x2 , 2

MF ? (1 ? 2)2 ? (

6 2 2 , ) ? 2? 2 2
2 2 ) ? 4? ( x1 ? x2 ) , 2 2
第 9 页,共 12 页

………7 分

2 MF ? PF ? QF ,? 2(2 ?

Constitution provi des t hat no party member ca n do, leadi ng ca dres s hould take the lea d in not doing . In stri ct accorda nce with the party Constit ution Party member leading ca dre must have six basi c conditions and improv e their own qualities and a bilitie s, regular che cks a nd pay for their ow n shor tcomings . Especi ally i n the i deal and beli ef, persist in seeking tr uth from facts, and pr omote the scie ntific devel opme nt, maintain close ties wit h, strengt heni ng moral cultivation, and strict a dhere nce t o party di sci pline for party members to lea d by example . Second, the main cha nge in t he ne w Constitution and the i nterpretation of the 1 8th Nati onal Congress of the Chines e Communist Part y, to e nd on November 1 4, 201 2 General Assem bly vote, the Constituti on of the Communist Party of China (Amendment) Act. 1 8 Congress of the party By the Constitution of the Communist Party of China (Amendment) Act, against 17 in six large t hroug h a revisi on of the part y Constituti on. In order to 字 签 收 验 过 经 处 行 进 基 和 清 地 场 置 位 稳 平 齐 整 放 堆 类 分 格 规 、 种 品 按 求 要 的 项 七 第 合 符 质 材 。 底 交 细 详 了 业 作 向 员 人 理 管 关 有 由 并 , 准 批 已 案 方 设 搭 架 手 脚 外 comply w ith the devel opme nt of the situati on a nd task s change , every nati onal Congress of our party wi ll be of varying degrees of revision of the Constituti on. A big party was held in 19 21, due t o time constrai nts, a nd developed a platform of one of the large, j ust a programmatic document. Our first Constit ution was e stablis hed by the party's second Na ti onal Congress . Accordi ng to t he change s in t he sit uation and tasks , after two s uccessiv e congres ses (exce pt for five) different degrees of modificati on t o the Constituti on. Be cause of t he s peci al cir cumstances, the five party Constituti on has not bee n m odified, by t he Politburo after cha nges to t he Constitution. Current i s devel oped i n September 198 2 the party's 12 big cha nges to t he party Constituti on. 30 years, on the premise of maintaini ng the stability of the ba sic contents of the party Constituti on, 13 a nd 1 4 and Congres s of the part y, 16 a nd 17 are wit h varying degrees of modifi cation of the Constituti on. Constituti on modified of histor y, is we party 9 2 great deve lopme nt cours e of miniat ure and s how, a i s show has w e party tightly reli es on people complete d and adva nce three pie ces eve nt of great cours e; II is s how has we party i n le d China rev oluti on, a nd construction a nd reform long-term practi ce in t he, constantly adva nce Marxist China of pr oce ss, constantly a dvance the ory innovati on of great course; t hree i s show has we party constantly s ummary party of constructi on of new created, and ne w experi ence, constantly improv e part y of construction sci entific lev el of great cours e. T his 18 big thr ough of Constit ution, except "master" outsi de total 1 1 chapte r, total 53 article, specific for master ; first chapter members; s econd chapter party of orga nization system; t hird cha pter part y of Central Organizati on; fourth cha pter party of pla ce orga nization; fifth cha pter party of gras s-roots organi zations ; sixth chapter party of ca dres; sevent h chapter party of di sci pline ; eight h chapter party of

disci pline check organ; Ni neth cha pter party; te nth chapter party and Communist Yout h Leag ue of relations hip; 11th cha pter femme fatale flag. And the party compared t o

数学试题(文科)

Party branch Se cretary of a party le cture of tw o speeches: t utori ng cov ers all of the new party Constit ution tw o educati on has ki cked off. Study of the Constit ution of this practi ce is a very important part. Today I'll give y ou a new s ection of the Constituti on on t he counselli ng of learning les sons, hope, t hroug h to day's tutori al, further cons olidati on of all t he party members of the new party Constituti on st udy res ults to hel p you better understa nd a nd gras p the importa nt knowledge i n the new Constitution. T his tut orial ha s the foll owi ng three compone nts: one i s the im portance of studyi ng and impl ementing of the ne w party Constitution; s econd, com pared wit h the 17 adopte d by the party Constit ution, the mai n changes i n the content a nd i nterpretation of the new Constitution; t he third is at this stage how to make full use of the ne w esse nce of the content of the Constituti on t o guide party buil ding. Tw o themati c education in party lect ure notes, a nd st udy a nd carry out the significa nce of the ne w Constituti on (a) studying a nd impl ementing t he party Constituti on is t he most basi c obligations of each party member. We party party yilai , has bee n put learni ng impleme nt Constituti on a s a items regular of work one of impl ement Yu alway s, and in different hist ory ba ckg round and the different reality nee d of situation Xia, al so w ill as a items im portant sex work, conce ntrated to, a nd hig hlight to, and separate to be arra ngements, only on reform more t han 3 0 years to, most importa nt of concentrated lear ning im plement Constitution on ha s four times: (ii) learni ng implement Constit ut ion, is mainte nance party of soli darity unified, a nd complete d party of the task of strong guarante e. Both history a nd real it y show that only determined t o uphold the supremacy of the Constit ution, accor ding to t he educati onal ma nagement of party members a nd cadres at the request of the party Constituti on t o ensure the party stri ctly implement t he party's poli cy and disci pline, to mai ntain party unity, completed the party's vari ous tasks t o pr ovide a strong guara ntee. (C) st udyi ng and implementing the part y Constitution, consoli dating t he party's r uling stat us, a nd the i nevitable requirement of maintai ning t he a dvanced nature of the party. Comrade XI Jinpi ng pointed out: the Constit ution is t he fundame ntal law of the party, the party must follow t he General rules . I n all t he a ctivities of the party organization at all levels, will continue to g uide the broa d mass es of party member s and ca dres, es pecially leadi ng ca dres, cons cienti ously study the par ty Constitution, a bide by t he party Constit ution, the implementati on of the party Constitution a nd mai ntaini ng party Constituti on, shoul d stre ngthe n party spirit, enhance the consci ous ne s s, purpose awarene ss, power aware nes s, sit uation aware ness, se nse of res ponsibility, earnestly shari ng s orrow for t he party, re sp ons ible for the countr y, for t he people a nd dedi cation. (D) studying and implementing t he party Constit ution, is to s olve the problems the party's act ual nee ds. Comrade XI Jinping s aid all party members must a chieve , leadi ng cadre s shoul d first do w hatever the

? x1 ? x2 ? 2 .

………8 分

(ⅰ)当 x1 ? x2 时,由 ?

? x12 ? 2 y12 ? 4 ?x ? 2 y ? 4
2 2 2 2

得 x12 ? x22 ? 2( y12 ? y22 ) ? 0 ,

?

y1 ? y2 1 x ?x ?? 1 2 . x1 ? x2 2 y1 ? y2 y1 ? y2 1 , ?? x1 ? x2 2n
………11 分 ………12 分

设线段 PQ 的中点为 N (1, n) ,由 k PQ ?

得线段 PQ 的中垂线方程为 y ? n ? 2n( x ? 1) ,

1 ?(2 x ? 1)n ? y ? 0 ,该直线恒过一定点 A( , 0) . 2
(ⅱ)当 x1 ? x2 时, P (1, ?

6 6 6 6 ) 或 P (1, ), ) , Q (1, ) , Q (1, ? 2 2 2 2
1 2

线段 PQ 的中垂线是 x 轴,也过点 A( , 0) . 综上, 线段 PQ 的中垂线过定点 A( , 0) . (2)问【解法二】 (ⅰ)若 PQ 斜率存在时: 设 PQ 直线为 y ? kx ? b

1 2

……………14 分

? y ? kx ? b ? 2 2 2 联立 ? x 2 y 2 ,消 y 得: (1 ? 2k ) x ? 4kbx ? 2b ? 4 ? 0 ……………5 分 ?1 ? ? ?4 2
?4kb ? x ? x ? 1 2 ? ? 1 ? 2k 2 设点 P( x1 , y1 ), Q( x2 , y2 ) ,则: ? 2 ? x ? x ? 2b ? 4 ? 1 2 1 ? 2k 2 ?
由于 | PF | ? | QF |? 2 | MF | 且 x1 ?[?2, 2], x2 ?[?2, 2] 所以 | PF |? 2 ?

(3)
……………6 分

(4)

2 2 x1 , | QF |? 2 ? x2 2 2

又因为 | MF |? e ? xM ? a ,其中 e ?

2 2 , a ? 2, xM ? 1 ,故 | MF |? 2 ? 2 2

Constitution provi des t hat no party member ca n do, leadi ng ca dres s hould take the lea d in not doing . In stri ct accorda nce with the party Constit ution Party member leading ca dre must have six basi c conditions and improv e their own qualities and a bilitie s, regular che cks a nd pay for their ow n shor tcomings . Especially i n the i deal and beli ef , persist in seeking tr uth from facts, and pr omote the scie ntific devel opme nt, maintain close ties wit h, strengt heni ng moral cultivation, and strict a dhere nce t o party di sci pline for party members to lea d by example . Second, the main cha nge in t he ne w Constitution and the i nterpretation of the 1 8th Nati onal Congress of the Chines e Communist Part y, to e nd on November 1 4, 201 2 Gen eral Assem bly vote, the Constituti on of the Communist Party of China (Amendment) Act. 1 8 Congress of the party By the Constitution of the Communist Party of China (Amendment) Act, against 17 in six large t hroug h a revisi on of the party Constituti on. In order to 字 签 收 验 过 经 处 行 进 基 和 清 地 场 置 位 稳 平 齐 整 放 堆 类 分 格 规 、 种 品 按 求 要 的 项 七 第 合 符 质 材 。 底 交 细 详 了 业 作 向 员 人 理 管 关 有 由 并 , 准 批 已 案 方 设 搭 架 手 脚 外 comply w ith the devel opme nt of the situati on a nd task s change , every nati onal Congress of our party wi ll be of varying degrees of revision of the Constituti on. A big party was held in 19 21, due t o time constrai nts, a nd developed a platform of one of the large, j ust a programmatic document. Our first Constit ution was e stablis hed by the party's second Nati onal Congress . Accordi ng t o t he change s in t he sit uation and tasks , after two s uccessiv e congres ses (exce pt for five) different degrees of modificati on t o the Constituti on. Be cause of t he s peci al cir cumstances, the five party Constituti on has not bee n modified, by t he Politburo aft er cha nges to t he Constitution. Current i s devel oped i n September 198 2 the party's 12 big cha nges to t he party Constituti on. 30 years, on the premise of maintaini ng the stability of the ba sic contents of the party Constituti on, 13 a nd 1 4 and Congres s of the part y, 16 a nd 17 are wit h varying degrees of modifi cation of the Constituti on. Constituti on modified of histor y, is we party 9 2 great deve lopme nt cours e of miniat ure and s how, a i s show has w e party tightly reli es on people complete d and adva nce three pie ces eve nt of great cours e; II is s how has we party i n le d China rev oluti on, a nd construction a nd reform long -term practi ce in t he, constantly adva nce Marxist China of pr oce ss, constantly a dvance the ory innovati on of great course; t hree i s show has we party constantly s ummary party of constructi on of new created, and ne w experi ence, constantly improv e party of construction sci enti fic lev el of great cours e. T his 18 big thr ough of Constit ution, except "master" outsi de total 1 1 chapte r, total 53 article, specific for master ; first chapter members; s econd chapter party of orga nization system; t hird cha pter party of Central Organizati on; fourth cha pter party of pla ce orga nization; fifth cha pter party of gras s-roots organi zations ; sixth chapter party of ca dres; sevent h chapter party of di sci pline ; eight h chapter party of disci pline check organ; Ni neth cha pter party; te nth chapter party and Communist Yout h Leag ue of relations hip; 11th cha pter femme fatale flag. And the party compared to

Party branch Se cretary of a party le cture of tw o speeches: t utori ng cov ers all of the new party Constit ution tw o educati on has ki cked off. Study of the Constit ution of this practi ce is a very important part. Today I'll give y ou a new s ection of the Constituti on on t he counselli ng of learning les sons, hope, t hroug h today's tutori al, further cons olidati on of all t he party members of the new party Constituti on st udy res ults to hel p you better understa nd a nd gras p the importa nt knowledge i n the new Constitution. T his tut orial ha s the foll owi ng three compone nts: one i s the im portance of studyi ng and impl ementing of the ne w party Constitution; s econd, com pared wit h the 17 adopte d by the party Constit ution, the mai n changes i n the content a nd i nterpretation of the new Constitution; t he third is at this stage how to make full use of the ne w esse nce of the content of the Constituti on t o guide party buil ding. Tw o themati c education in party lect ure notes, a nd st udy a nd carry out the significa nce of the ne w Constituti on (a) studying a nd impl ementing t he party Constituti on is t he most basi c obligations of each party member. We party party yilai , has bee n put learni ng impleme nt Constituti on a s a items regular of work one of impl ement Yu alway s, and in different hist ory ba ckg round and the different reality nee d of situation Xia, al so w ill as a items im portant sex work, conce ntrated to, a nd hig hlight to, and separate to be arra ngements, only on reform more t han 3 0 years to, most importa nt of concentrated lear ning im plem ent Constitution on ha s four times: (ii) learni ng implement Constit ution, is mainte nance party of soli darity unified, a nd com plete d party of the task of strong guarante e. Both history a nd real ity show that only determined t o uphold the supremacy of the Constit ution, accor ding to t he educati onal ma nagement of party members a nd cadres at the request of the party Constituti on t o ensure the party stri ctly implement t he party's poli cy and disci pline, to mai ntain party unity, completed the party's vari ous tasks t o pr ovide a strong guara ntee. (C) st udyi ng and implementing the party Constitution, consoli dating t he party's r uling stat us, a nd the i nevitable requirement of maintai ning t he a dvanced nature of the party. Comrade XI Jinpi ng pointed out: the Constit ution is t he fundame ntal law of the party, the party must follow t he General rules . I n all t he a ctivities of the party organization at all levels, will continue to g uide the broa d mass es of party member s and ca dres, es pecially leadi ng ca dres, cons cienti ously study the par ty Constitution, a bide by t he party Constit ution, the implementati on of the party Constitution a nd mai ntaini ng party Constituti on, shoul d stre ngthe n party spirit, enhance the consci ous nes s, purpose awarene ss, power aware nes s, sit uation aware ness, se nse of res ponsibility, earnestly shari ng s orrow for t he party, re spons ible for the countr y, for t he people a nd dedi cation. ( D) studying and implementing t he party Constit ution, is to s olve the problems the party's act ual nee ds. Comrade XI Jinping s aid all party mem bers must a chieve , leadi ng cadre s shoul d first do w hatever the

可得 x1 ? x2 ? 2 ,从而 y1 ? y2 ? 2k ? 2b 由(3)式及 x1 ? x2 ? 2 得 b ? 所以直线 PQ 的中垂线为 y ? 化简得 y ? ?

………………8 分

1 ? 2k 2 ?2k

y1 ? y2 1 ? (x ? x ) ? ? ? ? x ? 1 2 ? ……………10 分 2 k? 2 ?
……………11 分

1 1 (x ? ) k 2
1 2

故:直线 PQ 的中垂线过定点 A( , 0) (ⅱ)若 PQ 斜率不存在时:同解法一。

……………12 分 ……………14 分

21.(本小题满分 14 分) 解: (Ⅰ) f ? ? x ? ?

a ? ?1 ? a ? x ? b , x

…………2 分

由曲线 y ? f ? x ? 在点 1, f ?1? 处的切线的斜率为 f ? ?1? ? 0 ,得 f ? ?1? ? 0 ,………3 分 即 a ? ?1 ? a ? ? b ? 0 , b ? 1 . (Ⅱ)由 b ? 1 ,得 x ??1, ?? ? . x ??1, ?? ? ……………4 分

?

?

f ?? x? ?

?1 ? a ? x2 ? x ? a ? ? x ? 1? ? a ??1 ? a ? x ? a ? ? (a ? 1) ? ?1 ? a ? x ? 1 ? x x x
a a 2a ? 1 ?1 ? . 且 1? a 1? a 1? a

………5 分

令 f ? ? x ? ? 0 ,得 x1 ? 1 , x2 ? ① 当a ?

……………7 分

1 a ? 1 ,在 ?1, ?? ? 上, f ? x ? 为增函数, 时, 2 1? a a ?a ? 1 ?1 ? , ? f ? x ? ?min ? f ?1? ? 1 ? 2 2 ?a ? 1 a 2 ? 令 ,即 a ? 2a ?1 ? 0 ,解得 ? 2 ?1 ? a ? 2 ?1 . ……………9 分 2 a ?1 1 a ? 1, ② 当 ? a ? 1 时, 2 1? a a a a x (1, ) ( , ? ?) 1? a 1? a 1? a
Constitution provi des t hat no party member ca n do, leadi ng ca dres s hould take the lea d in not doing . In stri ct accorda nce with the party Constit ution Party member leading ca dre must have six basi c conditions and improv e their own qualities and a bilitie s, regular che cks a nd pay for their ow n shor tcomings . Especi ally i n the i deal and beli ef, persist in seeking tr uth from facts, and pr omote the scie ntific devel opme nt, maintain close ties wit h, strengt heni ng moral cultivation, and strict a dhere nce t o party di sci pline for party members to lea d by example . Second, the main cha nge in t he ne w Constitution and the i nterpretation of the 1 8th Nati onal Congress of the Chines e Communist Part y, to e nd on November 1 4, 201 2 General Assem bly vote, the Constituti on of the Communist Party of China (Amendment) Act. 1 8 Congress of the party By the Constitution of the Communist Party of China (Amendment) Act, against 17 in six large t hroug h a revisi on of the part y Constituti on. In order to 字 签 收 验 过 经 处 行 进 基 和 清 地 场 置 位 稳 平 齐 整 放 堆 类 分 格 规 、 种 品 按 求 要 的 项 七 第 合 符 质 材 。 底 交 细 详 了 业 作 向 员 人 理 管 关 有 由 并 , 准 批 已 案 方 设 搭 架 手 脚 外 comply w ith the devel opme nt of the situati on a nd task s change , every nati onal Congress of our party wi ll be of varying degrees of revision of the Constituti on. A big party was held in 19 21, due t o time constrai nts, a nd developed a platform of one of the large, j ust a programmatic document. Our first Constit ution was e stablis hed by the party's second Na ti onal Congress . Accordi ng to t he change s in t he sit uation and tasks , after two s uccessiv e congres ses (exce pt for five) different degrees of modificati on t o the Constituti on. Be cause of t he s peci al cir cumstances, the five party Constituti on has not bee n m odified, by t he Politburo after cha nges to t he Constitution. Current i s devel oped i n September 198 2 the party's 12 big cha nges to t he party Constituti on. 30 years, on the premise of maintaini ng the stability of the ba sic contents of the party Constituti on, 13 a nd 1 4 and Congres s of the part y, 16 a nd 17 are wit h varying degrees of modifi cation of the Constituti on. Constituti on modified of histor y, is we party 9 2 great deve lopme nt cours e of miniat ure and s how, a i s show has w e party tightly reli es on people complete d and adva nce three pie ces eve nt of great cours e; II is s how has we party i n le d China rev oluti on, a nd construction a nd reform long-term practi ce in t he, constantly adva nce Marxist China of pr oce ss, constantly a dvance the ory innovati on of great course; t hree i s show has we party constantly s ummary party of constructi on of new created, and ne w experi ence, constantly improv e part y of construction sci entific lev el of great cours e. T his 18 big thr ough of Constit ution, except "master" outsi de total 1 1 chapte r, total 53 article, specific for master ; first chapter members; s econd chapter party of orga nization system; t hird cha pter part y of Central Organizati on; fourth cha pter party of pla ce orga nization; fifth cha pter party of gras s-roots organi zations ; sixth chapter party of ca dres; sevent h chapter party of di sci pline ; eight h chapter party of

disci pline check organ; Ni neth cha pter party; te nth chapter party and Communist Yout h Leag ue of relations hip; 11th cha pter femme fatale flag. And the party compared t o

数学试题(文科)

第 11 页,共 12 页

Party branch Se cretary of a party le cture of tw o speeches: t utori ng cov ers all of the new party Constit ution tw o educati on has ki cked off. Study of the Constit ution of this practi ce is a very important part. Today I'll give y ou a new s ection of the Constituti on on t he counselli ng of learning les sons, hope, t hroug h to day's tutori al, further cons olidati on of all t he party members of the new party Constituti on st udy res ults to hel p you better understa nd a nd gras p the importa nt knowledge i n the new Constitution. T his tut orial ha s the foll owi ng three compone nts: one i s the im portance of studyi ng and impl ementing of the ne w party Constitution; s econd, com pared wit h the 17 adopte d by the party Constit ution, the mai n changes i n the content a nd i nterpretation of the new Constitution; t he third is at this stage how to make full use of the ne w esse nce of the content of the Constituti on t o guide party buil ding. Tw o themati c education in party lect ure notes, a nd st udy a nd carry out the significa nce of the ne w Constituti on (a) studying a nd impl ementing t he party Constituti on is t he most basi c obligations of each party member. We party party yilai , has bee n put learni ng impleme nt Constituti on a s a items regular of work one of impl ement Yu alway s, and in different hist ory ba ckg round and the different reality nee d of situation Xia, al so w ill as a items im portant sex work, conce ntrated to, a nd hig hlight to, and separate to be arra ngements, only on reform more t han 3 0 years to, most importa nt of concentrated lear ning im plement Constitution on ha s four times: (ii) learni ng implement Constit ut ion, is mainte nance party of soli darity unified, a nd complete d party of the task of strong guarante e. Both history a nd real it y show that only determined t o uphold the supremacy of the Constit ution, accor ding to t he educati onal ma nagement of party members a nd cadres at the request of the party Constituti on t o ensure the party stri ctly implement t he party's poli cy and disci pline, to mai ntain party unity, completed the party's vari ous tasks t o pr ovide a strong guara ntee. (C) st udyi ng and implementing the part y Constitution, consoli dating t he party's r uling stat us, a nd the i nevitable requirement of maintai ning t he a dvanced nature of the party. Comrade XI Jinpi ng pointed out: the Constit ution is t he fundame ntal law of the party, the party must follow t he General rules . I n all t he a ctivities of the party organization at all levels, will continue to g uide the broa d mass es of party member s and ca dres, es pecially leadi ng ca dres, cons cienti ously study the par ty Constitution, a bide by t he party Constit ution, the implementati on of the party Constitution a nd mai ntaini ng party Constituti on, shoul d stre ngthe n party spirit, enhance the consci ous ne s s, purpose awarene ss, power aware nes s, sit uation aware ness, se nse of res ponsibility, earnestly shari ng s orrow for t he party, re sp ons ible for the countr y, for t he people a nd dedi cation. (D) studying and implementing t he party Constit ution, is to s olve the problems the party's act ual nee ds. Comrade XI Jinping s aid all party members must a chieve , leadi ng cadre s shoul d first do w hatever the

f ? ? x? f ? x?

?


0
极小值

?


? f ? x ??

min

a a2 a a ? a ? ?f? ? a ln ? ? ? ? 1 ? a 2 ?1 ? a ? a ?1 a ?1 ? 1? a ?
…………11 分

不合题意,无解. ③ 当 a ? 1 时,在 ?1, ?? ? 上, f ? ? x ? ? 0 , f ? x ? 为减函数,

? f ? x ??
f ?1? ?

max

? f ?1? ?

1? a ?a ? 1 ?1 ? 2 2
……………13 分

?a ? 1 a ? 恒成立, 则符合题意. 2 a ?1

综上, a 的取值范围是 ? 2 ? 1, 2 ? 1

?

?

?1, ?? ? .

…………14 分

Constitution provi des t hat no party member ca n do, leadi ng ca dres s hould take the lea d in not doing . In stri ct accorda nce with the party Constit ution Party member leading ca dre must have six basi c conditions and improv e their own qualities and a bilitie s, regular che cks a nd pay for their ow n shor tcomings . Especially i n the i deal and beli ef , persist in seeking tr uth from facts, and pr omote the scie ntific devel opme nt, maintain close ties wit h, strengt heni ng moral cultivation, and strict a dhere nce t o party di sci pline for party members to lea d by example . Second, the main cha nge in t he ne w Constitution and the i nterpretation of the 1 8th Nati onal Congress of the Chines e Communist Part y, to e nd on November 1 4, 201 2 Gen eral Assem bly vote, the Constituti on of the Communist Party of China (Amendment) Act. 1 8 Congress of the party By the Constitution of the Communist Party of China (Amendment) Act, against 17 in six large t hroug h a revisi on of the party Constituti on. In order to 字 签 收 验 过 经 处 行 进 基 和 清 地 场 置 位 稳 平 齐 整 放 堆 类 分 格 规 、 种 品 按 求 要 的 项 七 第 合 符 质 材 。 底 交 细 详 了 业 作 向 员 人 理 管 关 有 由 并 , 准 批 已 案 方 设 搭 架 手 脚 外 comply w ith the devel opme nt of the situati on a nd task s change , every nati onal Congress of our party wi ll be of varying degrees of revision of the Constituti on. A big party was held in 19 21, due t o time constrai nts, a nd developed a platform of one of the large, j ust a programmatic document. Our first Constit ution was e stablis hed by the party's second Nati onal Congress . Accordi ng t o t he change s in t he sit uation and tasks , after two s uccessiv e congres ses (exce pt for five) different degrees of modificati on t o the Constituti on. Be cause of t he s peci al cir cumstances, the five party Constituti on has not bee n modified, by t he Politburo aft er cha nges to t he Constitution. Current i s devel oped i n September 198 2 the party's 12 big cha nges to t he party Constituti on. 30 years, on the premise of maintaini ng the stability of the ba sic contents of the party Constituti on, 13 a nd 1 4 and Congres s of the part y, 16 a nd 17 are wit h varying degrees of modifi cation of the Constituti on. Constituti on modified of histor y, is we party 9 2 great deve lopme nt cours e of miniat ure and s how, a i s show has w e party tightly reli es on people complete d and adva nce three pie ces eve nt of great cours e; II is s how has we party i n le d China rev oluti on, a nd construction a nd reform long -term practi ce in t he, constantly adva nce Marxist China of pr oce ss, constantly a dvance the ory innovati on of great course; t hree i s show has we party constantly s ummary party of constructi on of new created, and ne w experi ence, constantly improv e party of construction sci enti fic lev el of great cours e. T his 18 big thr ough of Constit ution, except "master" outsi de total 1 1 chapte r, total 53 article, specific for master ; first chapter members; s econd chapter party of orga nization system; t hird cha pter party of Central Organizati on; fourth cha pter party of pla ce orga nization; fifth cha pter party of gras s-roots organi zations ; sixth chapter party of ca dres; sevent h chapter party of di sci pline ; eight h chapter party of disci pline check organ; Ni neth cha pter party; te nth chapter party and Communist Yout h Leag ue of relations hip; 11th cha pter femme fatale flag. And the party compared to


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