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2009年高考福建数学(理科)试题及参考答案

difficult, not hati ng; bl uepri nts, not rhetoric; wor ds and sim ple, but full of lov e, truth, pas sion, entre prene urial passi on. Take this opport unity, my ins pirational quotes Li Daz hao' s clas sic "iron s pecia lise i n uplifting ble nd w ith the article" gave everyone, wit h a view on how to do well under the new situati on of towns hip a nd v illage leaders inspire a nd hel p, and als o share with y ou. A g ood play to create iron shoul ders strong arms , to as sume the bur den be passe d; only s pe cific qualities, will it be possi ble in specific area s to cre ate a worl d. In my view, village chiefs i n the new s ituation, we must first have five basic quality. One am bition is to pioneer. "Who is handsome ." People only hig h-mi nde d ca n stimulate t he flow of momentum to become brave a nd persiste nt, be come quiet a nd pow erful. Townshi p and village party "leaders", wit hin their respective j uris dicti ons, political stabil ity and economi c and s ocial deve l opment i ssues, decis ions and ori entation de pends t o a large extent beca use of your. Every body in village chiefs a nd the positions, both t he trust of the masses, t he Orga nization's trust , more abil ity to you, ful ly affirmed the moral and other qualiti es. Therefore, we must always maintain t he hist orical mis sion and social res ponsi bility, a nd our i deal tree roote d in the hard w ork of the s oil, wit h indomitabl e spirit, i ndomitable courage to open up a new situati on of villages and tow ns. To have a feeli ng of cl ose ness t o the se cond. "T he pe opl e and countr y." Our bus ines s foundati on in t he pe opl e's bl ood in the pe ople pow er pe ople . Advanced deci sions of t he party ca dres to the feelings of the pe ople i s an eter nal theme. Fa n Zhong-ya n, call ed "first, and e njoy comfort about ot hers", Zheng Banqiao' s also wr ote a "Ya Chai lay liste ning to t he rustli ng of bamboo, t he s uspect is suffering. Ca o County officials, little my, a total t urn off. "Old of feuda l official even ha s so feeli ngs, al one w e is to" servi ng "for purpose s of pe ople servant does? we m ore shoul d always hold with on pe opl e of dee p feeling s, heart D epartment mas ses of leading visite d tea, care mas ses of emoti ons thoughts compl aine d, always i nsiste d put mas ses of intere sts put in first, cons ciously f rom itself do up, from small do up, from mass es most care, and most directly, and most reality of interests problem grabbe d, real do love for people by D epartment, a nd rig ht for pe ople by with, a nd Lee for pe opl e by conspira cy to. Thre e with the fame of m ind. "Non-indifferent not insist your dream, wit hout serenity not go far." As cension to fame is morality, i s the s ublimati on of the soul. As Township and village, be s ure to maintai n a normal state of mind, e stablis h a correct view poi nt on power, positi on a nd val ues a nd Outlook, as fame is light l ike water, depe ndi ng ... 5 0 km, also re d and like hundreds of thousa nds of the KMT m ilitary com bat, but he we nt on t o collect a variety of new spapers and magazine s, and the n race agai nst time to pore over. As long as the study of mind, it is not nece ssary to come to the library, works hops, i nto the village s, pe opl e learne d farming techniques, problem-s olving met hods, parti cipati on i n

2009 年普通高等学校招生全国统一考试(福建卷) 数学(理工农医类)
一. 选择题:本小题共 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。 1. 函数 f ( x) ? sin x cos x 最小值是 A.-1 1. 【答案】 :B [解析]∵ f ( x) ? B. ?

1 2

C.

1 2

D.1

1 1 sin 2 x ∴ f ( x) min ? ? .故选 B 2 2
2

2.已知全集 U=R,集合 A ? {x | x ? 2 x ? 0},则 ? U A 等于 A. { x ∣0 ? x ? 2} C. { x ∣x<0 或 x>2} 2. 【答案】 :A [解析]∵计算可得 A ? x x ? 0 或 x ? 2? ∴ CuA ? x 0 ? x ? 2? .故选 A B { x ∣0<x<2} D { x ∣x ? 0 或 x ? 2}

?

?

3.等差数列 {an } 的前 n 项和为 Sn ,且 S3 =6, a1 =4, 则公差 d 等于 A.1 3. 【答案】 :C [解析]∵ S3 ? 6 ?
?

B

5 3

C.- 2

D3

3 (a1 ? a3 ) 且 a3 ? a1 ? 2d a1 =4 ? d=2 .故选 C 2

4.

? ? (1 ? cos x)dx 等于
2 ? 2

A. ? 4. 【答案】 :D

B. 2

C.

? -2

D.

? +2

[解析]∵ 原式 ? x ? sin x

? ( ? sin ) ? [? ? sin(? )] ? ? ? 2 .故选 D x 2 2 2 2 ? 2

x 2

?

?

?

?

5.下列函数 f ( x ) 中,满足“对任意 x1 , x2 ? (0, ?? ) ,当 x1 < x2 时,都有 f ( x1 ) > f ( x2 ) 的是

confere nces , learne d s uperi ors polici es; re ports, y ou can lear n to deal with problems, art, j ust wante d to lear n, to lear n at any time. To continuously expand the s cope of the study. T he complexity and comprehensiv enes s of our work, deci de d to not only do w e want to be "profess i onals", or if "generalists", to dabble in different areas of knowle dge. Mastery of knowl edge not only to have k now ledge to rati onal a nalysis . Thi s on requirements we , not only to l earni ng national of route, a nd a pproa ch, and policy, als o to learning nati onal of legal, and regulati ons; not only to with politi cal the or y armed mind, al so to w ith economic t heory g uide w ork; not only to read histor y, als o to rea d hist ory; not only t o absorpti on SM of mirror, als o to gets i s of road; not only t o from local le arn, al so to t o out side le arn; not only to to books lear n, als o to field study le arn. 状 运 停 于 处 备 设 械 机 部 全 内 , 前 在 。 新 重 后 修 检 或 次 初 的 统 系 区 氨 硝 脱 为 动 启 态 冷

Therefore, I woul d encourage you, and more to t he outside worl d whe n I have time to take a look at, take a stroll, outsi de dev elopments,

learn other pe ople' s devel opme nt appr oach, a nd then come ba ck to gui de our work . Second, we must t hink. "Learni ng without thoug ht to overs hadow, t hinki ng without lear ning is peril ous." We want to foster the character of advancing wit h the times, forge a head, often reflect themselves i n ada pting to the new s ituation on whet her ther e are delays , have anyt hing to fear in t he reform and innovation, whether i n terms of accelerating the devel opme nt of a relaxation, kee p pr omising State of mind. In order t o do i nvestigations, inve stigations is the r oad to heaven, God di sposes of the ba se . To wa nts to real heard trut h, and justi ce to tr uth, a nd get truth, receive d effectivene ss, on must i n-dept h act ual, and outreach, and in -de pth mas ses, w orshi p masse s for Divisi on, a nd mas ses heart, with mas ses wit h dis cussi on every one care of problem, liste ning t hey of calls , understa nd they of mood, feel they of suffering, summary they of experi ence, concentrated t hey of wis dom, e spe cially on masse s most hope, and most urgent, and most w orries, a nd m ost complai ned of hot, a nd difficulties a nd focus problem, more to active rese arch, caug ht not put. Dare to i nnovate, in our work , often remai n " the ol d way doesn't w ork, the new a ppr oach would not" situati on, t he reas on, t he key is that ma ny pe ople k now t hat copying ot her people's i deas, me cha nically, using some one e lse's old way s. To change t his pre dicame nt, requires us to break the s ha ckles of traditi onal conce pts to overcome conservative, conformist, good at findi ng ne w problems a nd t o accept new thi ngs, s ummarize new experie nce, new i deas, developing new programmes and Maveri ck, a ne w approa ch to solve probl ems, s pee d up devel opment . Especially i n impleme nt superior poli cy s pirit of proces s in the, both impl ementation, and ca nnot mechani cally, t o to extraordi nary of c ourage a nd develop enter prisi ng of s pirit, put flexibility a nd principl e com bine d up, put superi or of spirit a nd l ocal real it y com bine d up, Yong conspira cy t o breakthrough of poli cy, a nd exerci se innovation of lift, develope d out development w orks of, and gras s-r oots wel come s of

difficult, not hati ng; bl uepri nts, not rhetoric; wor ds and sim ple, but full of lov e, truth, pas sion, entre prene urial passi on. Take this opport unity, my ins pirational quotes Li Daz hao' s clas sic "iron s pecia lise i n uplifting ble nd w ith the article" gave everyone, wit h a view on how to do well under the new situati on of towns hip a nd v illag e leaders inspire a nd hel p, and als o share with y ou. A g ood play to create iron shoul ders strong arms , to as sume the bur den be passe d; only s pe cific qualities, will it be possi ble in specific area s to cre ate a worl d. In my view, village chiefs i n the new s ituation, we must first have five basic quality. One am bition is to pioneer. "Who is handsome ." People only hig h-mi nde d ca n stimulate t he flow of momentum to become brave a nd persiste nt, be come quiet a nd pow erful. Townshi p and village party "leaders", wit hin their respective j uris dicti ons, political stabil ity and economi c and s ocial devel opment i ssues, decis ions and ori entat ion de pends t o a large extent beca use of your. Every body in village chiefs a nd the positions, both t he trust of the masses, t he Orga nization's trust , more abil ity to you, ful ly affirmed the moral and other qualiti es. Therefore, we must always maintain t he hist orical mis sion and social res ponsi bility, a nd our i deal tree roote d in the hard w ork of the s oil, wit h indomitabl e spirit, i ndomitable courage to open up a new situati on of villages and tow ns. To have a feeli ng of cl ose ness t o the se cond. "T he pe opl e and countr y." Our bus ines s foundati on in t he pe opl e's bl ood in the pe ople pow er pe ople . Advanced deci sions of t he party ca dres to the feelings of the pe ople i s an eter nal theme. Fa n Zhong-ya n, call ed "first, and e njoy comfort about ot hers", Zheng Banqiao' s also wr ote a "Ya Chai lay liste ning to t he rustli ng of bamboo, t he s uspect is suffering. Ca o County officials, little my, a tota l t urn off. "Old of feuda l official even ha s so feeli ngs, al one w e is to" servi ng "for purpose s of pe ople servant does? we m ore shoul d always hold with on pe opl e of dee p feeling s, heart D epartment mas ses of leading visite d tea, care mas ses of emoti ons thoughts compl aine d, always i nsiste d put mas ses of intere sts put in first, cons ciously from itself do up, from small do up, from mass es most care, and most directly, and most reality of interests problem grabbe d, real do love for people by D epartment, a nd rig ht for pe ople by with, a nd Lee for pe opl e by conspira cy to. Thre e with the fame of mind. "Non -indifferent not insist your dream, wit hout serenity not go far." As cension to fame is morality, i s the s ublimati on of the soul. As Township and village, be s ure to maintai n a normal state of mind, e stablis h a correct view poi nt on power, positi on a nd val ues a nd Outlook, as fame is light l ike water, depe ndi ng ... 5 0 km, also re d and like hundreds of thousa nds of the KMT military com bat, but he we nt on t o collect a v ariety of new spapers and magazine s, and the n race agai nst time to pore over. As long as the study of mind, it is not nece ssar y to come to the library, works hops, i nto the village s, pe opl e learne d farming techniques, problem -s olving met hods, parti cipati on i n

A . f ( x) =

1 x

B.

f ( x) = ( x ? 1)2

C . f ( x) = e

x

D

f ( x) ? ln( x ?1)
5. 【答案】 :A [解析]依题意可得函数应在 x ? (0, ??) 上单调递减,故由选项可得 A 正确。 6.阅读右图所示的程序框图,运行相应的程序,输出的结果是 A.2 B .4 C. 8 D .16

6. 【答案】 :C [解析]由算法程序图可知, 在 n =4 前均执行”否”命令, 故 n=2×4=8. 故选 C 7.设 m,n 是平面 ? 内的两条不同直线,l1 , l2 是平面 ? 内的两条相交直线,则 ? // ? 的 一个充分而不必要条件是 A.m // ? 且 l //

?

B. m // l

且 n // l 2

C. m // ? 且 n // ? 7. 【答案】 :B

D. m // ? 且 n // l 2

[ 解 析 ] 若 m / /l1 , n / /l2 , m.n ? ? , ?1.?2 ? ? , 则 可 得 ? // ? . 若 ? // ? 则 存 在

?1 ? ? 2 ,m / l /2 n , / l1/
8.已知某运动员每次投篮命中的概率低于 40%。 现采用随机模拟的方法估计该运动员三次投 篮恰有两次命中的概率:先由计算器算出 0 到 9 之间取整数值的随机数,指定 1,2,3,4 表示命中,5,6, ,7,8,9,0 表示不命中;再以每三个随机数为一组,代表三次投篮的结 果。经随机模拟产生了 20 组随机数: 907 431 966 257 191 393 925 027 271 556 932 488 812 730 458 113 569 537 683 989

据此估计,该运动员三次投篮恰有两次命中的概率为 A.0.35 8. 【答案】 :B [解析]由随机数可估算出每次投篮命中的概率 p ?
2 C3 ? P2 ? (1 ? P) ? 0.25 故选 B

B 0.25

C 0.20

D 0.15

24 2 ? 则三次投篮命中两次为 60 5

9.设 a,b,c 为同一平面内具有相同起点的任意三个非零向量,且满足 a 与 b 不共线,
confere nces , learne d s uperi ors polici es; re ports, y ou can lear n to deal with problems, art, j ust wante d to lear n, to lear n at any time. To continuously expand the s cope of the study. T he complexity and comprehensiv enes s of our work, deci de d to not only do w e want to be "profess ionals", or if "generalists", to dabble in different areas of knowle dge. Mastery of knowl edge not only to have k now ledge to rati onal a nalysis . Thi s on requirements we , not only to l earni ng national of route, a nd a pproa ch, and policy, als o to learning nati onal of legal, and regulati ons; not only to with politi cal the or y armed mind, al so t o w ith economic t heory g uide w ork; not only to read histor y, als o to rea d hist ory; not only t o absorpti on SM of mirror, als o to gets i s of road; not only t o from local le arn, al so to t o out side le arn; not only to to books lear n, als o to field study le arn. 状 运 停 于 处 备 设 械 机 部 全 内 , 前 在 。 新 重 后 修 检 或 次 初 的 统 系 区 氨 硝 脱 为 动 启 态 冷 Therefore, I woul d encourage you, and more to t he outside worl d whe n I have time to take a look at, take a stroll, outsi de dev elopments,

learn other pe ople' s devel opme nt appr oach, a nd then come ba ck to gui de our work . Second, we must t hink. "Learni ng without thoug ht to overs hadow, t hinki ng without lear ning is peril ous." We want to foster the character of advancing wit h the times, f orge a head, often reflect themselves i n ada pting to the new s ituation on whet her ther e are delays , have anyt hing to fear in t he reform and innovation, whether i n terms of accelerating the devel opme nt of a relaxation, kee p pr omising State of mind. In order t o do i nvestigations, inve stigations is the r oad to heaven, God di sposes of the ba se . To wa nts to real heard trut h, and justi ce to tr uth, a nd get truth, receive d effectivene ss, on must i n-dept h act ual, and outreach, and in -de pth mas ses, w orshi p masse s for Divisi on, a nd mas ses heart, with mas ses wit h dis cussi on every one care of problem, liste ning t hey of calls , understa nd they of mood, feel they of suffering, summary they of experi ence, concentrated t hey of wis dom, e spe cially on masse s most hope, and most urgent, and most w orries, a nd m ost complai ned of hot, a nd difficulties a nd focus problem, more to active rese arch, caug ht not put. Dare to i nnovate, in our work , often remai n "the ol d way doesn't w ork, the new a ppr oach would not" situati on, t he reas on, t he key is that ma ny pe ople k now t hat copying other people's i deas, me cha nically, using some one e lse's old way s. To change t his pre dicame nt, requires us to break the s ha ckles of traditi onal conce pts to overcome conservative, conformist, good at findi ng ne w problems a nd t o accept new thi ngs, s ummarize new experie nce, new i deas, developing new programmes and Maveri ck, a ne w approa ch to solve probl ems, s pee d up devel opment . Especially i n impleme nt superior poli cy s pirit of proces s in the, both impl ementation, and ca nnot mechani cally, t o to extraordi nary of courage a nd develop enter prisi ng of s pirit, put flexibility a nd principl e com bine d up, put superi or of spirit a nd l ocal real ity com bine d up, Yong conspira cy t o breakthrough of poli cy, a nd exerci se innovation of lift, develope d out development w orks of, and gras s-r oots wel come s of

difficult, not hati ng; bl uepri nts, not rhetoric; wor ds and sim ple, but full of lov e, truth, pas sion, entre prene urial passi on. Take this opport unity, my ins pirational quotes Li Daz hao' s clas sic "iron s pecia lise i n uplifting ble nd w ith the article" gave everyone, wit h a view on how to do well under the new situati on of towns hip a nd v illage leaders inspire a nd hel p, and als o sh are with y ou. A g ood play to create iron shoul ders strong arms , to as sume the bur den be passe d; only s pe cific qualities, will it be possi ble in specific area s to cre ate a worl d. In my view, village chiefs i n the new s ituation, we must first have five basic quality. One am bition is to pioneer. "Who is handsome ." People only hig h-mi nde d ca n stimulate t he flow of momentum to become brave a nd persiste nt, be come quiet a nd pow erful. Townshi p and village party "leaders", wit hin their respective j uris dicti ons, political stabil ity and economi c and s ocial devel opment i ssues, decis ions and ori entation de pends t o a large extent beca use of your. Every body in village chiefs a nd the positions, both t he trust of the masses, t he Orga nization's trust , more abil ity to you, ful ly affirmed the moral and other qualiti es. Therefore, we must always maintain t he hist orical mis sion and social res ponsi bility, a nd our i deal tree roote d in the hard w ork of the s oil, wit h indomitabl e spirit, i ndomitable courage to open up a new situati on of villages and tow ns. To have a feeli ng of cl ose ness t o the se cond. "T he pe opl e and countr y." Our bus ines s foundati on in t he pe opl e's bl ood in the pe ople pow er pe ople . Advanced deci sions of t he party ca dres to the feelings of the pe ople i s an eter nal theme. Fa n Zhong-ya n, call ed "first, and e njoy comfort about ot hers", Zheng Banqiao' s also wr ote a "Ya Chai lay liste ning to t he rustli ng of bamboo, t he s uspect is suffering. Ca o County officials, little my, a total t urn off. "Old of feuda l official even ha s so feeli ngs, al one w e is to" servi ng "for purpose s of pe ople servant does? we m ore shoul d always hold with on pe opl e of dee p feeling s, heart D epartment mas ses of leading visite d tea, care mas ses of emoti ons thoughts compl aine d, always i nsiste d put mas ses of intere sts put in first, cons ciously from itself do up, from small do up, from mass es most care, and most directly, and most reality of interests problem grabbe d, real do love for people by D epartment, a nd rig ht for pe ople by with, a nd Lee for pe opl e by conspira cy to. Thre e with the fame of mind. "Non -indifferent not insist your dream, wit hout serenity not go far." As cension to fame is morality, i s the s ublimati on of the soul. As Township and village, be s ure to maintai n a normal state of mind, e stablis h a correct view poi nt on power, positi on a nd val ues a nd Outlook, as fame is light l ike water, depe ndi ng ... 5 0 km, also re d and like hundreds of thousa nds of the KMT military com bat, but he we nt on t o collect a variety of new spapers and magazine s, a nd the n race agai nst time to pore over. As long as the study of mind, it is not nece ssary to come to the library, works hops, i nto the village s, pe opl e learne d farming techniques, problem -s olving met hods, parti cipati on i n

a? c

∣a∣=∣c∣,则∣b ? c∣的值一定等于 B 以 b,c 为两边的三角形面积 D 以 b,c 为邻边的平行四边形的面积

A. 以 a,b 为两边的三角形面积 C.以 a,b 为邻边的平行四边形的面积 9. 【答案】 :C

[解析]依题意可得 b ? c ? b ? c ? cos(b, c) ? b ? a ? sin(a, c) ? S 故选 C. 10.函数 f ( x) ? ax ? bx ? c( a ? 0) 的图象关于直线 x ? ?
2

b 对称。据此可推测,对任意的 2a

非零实数 a,b,c,m,n,p,关于 x 的方程 m ? f ( x) ? ? nf ( x) ? p ? 0 的解集都不可能是 A. ?1, 2? 10. 【答案】 :D [解析]本题用特例法解决简洁快速,对方程 m[ f ( x)]2 ? nf ( x) ? P ? 0 中 m, n, p 分别赋 值求出 f ( x ) 代入 f ( x) ? 0 求出检验即得. B ?1, 4? C ?1,2,3,4? D ?1,4,16,64?

第二卷

(非选择题共 100 分)

二、填空题:本大题共 5 小题,每小题 4 分,共 20 分。把答案填在答题卡的相应位置。 11.若

2 ? a ? bi (i 为虚数单位, a, b ? R )则 a ? b ? _________ 1? i

11. 【答案】 :2 解析:由

2 2(1 ? i) ? a ? bi ? ? 1 ? i ,所以 a ? 1, b ? 1, 故 a ? b ? 2 。 1? i (1 ? i )(1 ? i )

12.某校开展“爱我海西、爱我家乡”摄影比赛,9 位评委为参赛作品 A 给出的分数如茎叶 图所示。记分员在去掉一个最高分和一个最低分后,算的平均分为 91,复核员在复核时, 发现有一个数字 (茎叶图中的 x) 无法看清。 若记分员计算失误, 则数字 x 应该是___________

12. 【答案】 :1 解析:观察茎叶图, 可知有 91 ?

88 ? 89 ? 89 ? 92 ? 93 ? 90 ? x ? 92 ? 91 ? 94 ? x ? 1。 9
2

13.过抛物线 y ? 2 px( p ? 0) 的焦点 F 作倾斜角为 45 的直线交抛物线于 A、B 两点,若线 段 AB 的长为 8,则 p ? ________________
confere nces, lear ned superior s poli cie s; reports, you ca n lear n to dea l with pr obl ems, art, just wante d to lear n, to lear n at any time. T o continuously expand t he s cope of the st udy. T he complexity a nd compre hensiveness of our w ork, de cided to not only do we wa nt to be "pr ofessi onal s", or if "generalists", to dabble in different areas of knowledge . Mastery of knowl edge not only to hav e knowledge t o rational analy sis. T his on requireme nts we, not only to lear ning national of rout e, and approa ch, a nd poli cy, als o to learning nati onal of legal, and regulati ons; not only to with politi cal the ory armed mind, als o to wit h economic t he ory gui de work ; not only t o read history, al so to re ad hi story; not only to a bsor ption SM of mirror, als o to gets i s of roa d; not only to from loca l learn, al so to t o outside l earn; not only to t o books lear n, als o to field study le arn. 状 运 停 于 处 备 设 械 机 部 全 内 , 前 在 。 新 重 后 修 检 或 次 初 的 统 系 区 氨 硝 脱 为 动 启 态 冷 Therefore, I would e ncour age you, and more to the out side w orld w he n I have time to take a l ook at, take a stroll, outsi de

developments , learn other people's development a ppr oach, and the n come back t o gui de our work. Se cond, w e must thi nk. "Lear ning wit hout thought to overs hadow, thi nking wit hout learni ng is perilous." We want to foster the chara cter of adva nci ng with the times, forge ahead, often reflect themselves in a dapti ng to the new s ituation on whet her ther e are delay s, hav e anythi ng to fear in the reform and i nnovation, w hether i n terms of accelerati ng the development of a relaxati on, kee p pr omising State of mind. I n or der to do inve stigati ons, inv estigations is t he roa d to he aven, God dis pose s of the base. T o wa nts to real heard tr uth, a nd j ustice t o truth, a nd get tr uth, re ceived effectivene ss, on must i n-dept h actual, and outreach, and in -de pth mas ses, w ors hip mas ses for Divi sion, and masse s heart, wit h masse s with discus sion everyone car e of problem, liste ning t hey of call s, understand they of mood, feel they of s uffering, summary they of experie nce, conce ntrated t hey of wis dom, espe cially on masse s most hope, and most urge nt, and most w orries, a nd m ost complai ned of hot, a nd difficulties a nd focus pro blem, more to a ctive res earch, ca ught not put. Dare to i nnovate, in our w ork, often remai n "the ol d way does n't work, t he ne w approa ch w oul d not" sit uation, the rea s on, the key is that many people know that copying ot her pe opl e's ideas, mecha nically, usi ng some one el se's old way s. To cha nge thi s pre dicame nt, requires us to br eak the s hack les of traditi onal conce pts to overcome cons ervative, conformist, g ood at findi ng new problems and to a cce pt new t hi ngs, s ummarize ne w experie nce , new i deas , devel opi ng new programmes a nd Maverick, a new a ppr oach to s olve pr oblems , spe ed up dev elopment. Es pe cially in impl ement s uperi or policy s pirit of pr oce ss in t he, both impleme ntation, and ca nnot mechani call y, to to extraordi nary of courage a nd develop enter prisi ng of spirit, put flexibility a nd principle combi ne d up, put s uperior of s pirit and local reality

combi ned up, Yong cons piracy to breakthr oug h of policy, a nd exer cise i nnovation of lift, devel ope d out devel opme nt works of, and gra ss-r oot s welcomes of

第 3 页 共 13 页

difficult, not hati ng; bl uepri nts, not rhetoric; wor ds and sim ple, but full of lov e, truth, pas sion, entre prene urial passi on. Take this opport unity, my ins pirational quotes Li Daz hao' s clas sic "iron s pecia lise i n uplifting ble nd w ith the article" gave everyone, wit h a view on how to do well under the new situati on of towns hip a nd v illag e leaders inspire a nd hel p, and als o share with y ou. A g ood play to create iron shoul ders strong arms , to as sume the bur den be passe d; only s pe cific qualities, will it be possi ble in specific area s to cre ate a worl d. In my view, village chiefs i n the new s ituation, we must first have five basic quality. One am bition is to pioneer. "Who is handsome ." People only hig h-mi nde d ca n stimulate t he flow of momentum to become brave a nd persiste nt, be come quiet a nd pow erful. Townshi p and village party "leaders", wit hin their respective j uris dicti ons, political stabil ity and economi c and s ocial devel opment i ssues, decis ions and ori entat ion de pends t o a large extent beca use of your. Every body in village chiefs a nd the positions, both t he trust of the masses, t he Orga nization's trust , more abil ity to you, ful ly affirmed the moral and other qualiti es. Therefore, we must always maintain t he hist orical mis sion and social res ponsi bility, a nd our i deal tree roote d in the hard w ork of the s oil, wit h indomitabl e spirit, i ndomitable courage to open up a new situati on of villages and tow ns. To have a feeli ng of cl ose ness t o the se cond. "T he pe opl e and countr y." Our bus ines s foundati on in t he pe opl e's bl ood in the pe ople pow er pe ople . Advanced deci sions of t he party ca dres to the feelings of the pe ople i s an eter nal theme. Fa n Zhong-ya n, call ed "first, and e njoy comfort about ot hers", Zheng Banqiao' s also wr ote a "Ya Chai lay liste ning to t he rustli ng of bamboo, t he s uspect is suffering. Ca o County officials, little my, a tota l t urn off. "Old of feuda l official even ha s so feeli ngs, al one w e is to" servi ng "for purpose s of pe ople servant does? we m ore shoul d always hold with on pe opl e of dee p feeling s, heart D epartment mas ses of leading visite d tea, care mas ses of emoti ons thoughts compl aine d, always i nsiste d put mas ses of intere sts put in first, cons ciously from itself do up, from small do up, from mass es most care, and most directly, and most reality of interests problem grabbe d, real do love for people by D epartment, a nd rig ht for pe ople by with, a nd Lee for pe opl e by conspira cy to. Thre e with the fame of mind. "Non -indifferent not insist your dream, wit hout serenity not go far." As cension to fame is morality, i s the s ublimati on of the soul. As Township and village, be s ure to maintai n a normal state of mind, e stablis h a correct view poi nt on power, positi on a nd val ues a nd Outlook, as fame is light l ike water, depe ndi ng ... 5 0 km, also re d and like hundreds of thousa nds of the KMT military com bat, but he we nt on t o collect a v ariety of new spapers and magazine s, and the n race agai nst time to pore over. As long as the study of mind, it is not nece ssar y to come to the library, works hops, i nto the village s, pe opl e learne d farming techniques, problem -s olving met hods, parti cipati on i n

13. 【答案】 :2 解 析 : 由 题 意 可 知 过 焦 点 的 直 线 方 程 为 y ? x?

p , 联 立 有 2

? y 2 ? 2 px p2 p2 ? 2 ?8? p ? 2。 ? 0 ,又 AB ? (1 ? 12 ) (3 p)2 ? 4 ? ? p ? x ? 3 px ? 4 4 ?y ? x ? ? 2
14.若曲线 f ( x) ? ax3 ? ln x 存在垂直于 y 轴的切线,则实数 a 取值范围是_____________. 14. 【答案】 : ( ??, 0) 解析:由题意可知 f ( x) ? 2ax ?
' 2

1 ,又因为存在垂直于 y 轴的切线, x

所以 2ax ?
2

1 1 ? 0 ? a ? ? 3 ( x ? 0) ? a ? (??, 0) 。 x 2x

15.五位同学围成一圈依序循环报数,规定: ①第一位同学首次报出的数为 1,第二位同学首次报出的数也为 1,之后每位同学所报出的 数都是前两位同学所报出的数之和; ②若报出的数为 3 的倍数,则报该数的同学需拍手一次 已知甲同学第一个报数,当五位同学依序循环报到第 100 个数时,甲同学拍手的总次数为 ________. 15. 【答案】 :5 解析:由题意可设第 n 次报数,第 n ? 1 次报数,第 n ? 2 次报数分别为 an , an ?1 , an?2 , 所以有 an ? an?1 ? an?2 ,又 a1 ? 1, a2 ? 1, 由此可得在报到第 100 个数时,甲同学拍手 5 次。 三解答题 16.(13 分) 从集合 ?1,2,3,4,5? 的所有非空子集 中,等可能地取出一个。 .... (1) 记性质 r:集合中的所有元素之和为 10,求所取出的非空子集满足性质 r 的概率; (2) 记所取出的非空子集的元素个数为 ? ,求 ? 的分布列和数学期望 E ? 16、解: (1)记”所取出的非空子集满足性质 r”为事件 A 基本事件总数 n= C5 ? C5 ? C5 ? C5 ? C5 =31
1 2 3 4 5

事件 A 包含的基本事件是{1,4,5}、{2,3,5}、{1,2,3,4} 事件 A 包含的基本事件数 m=3 所以 p ( A) ?

m 3 ? n 31
Therefore, I woul d encourage you, and more to t he outside worl d whe n I have time to take a look at, take a stroll, outsi de dev elopments,

confere nces , learne d s uperi ors polici es; re ports, y ou can lear n to deal with problems, art, j ust wante d to lear n, to lear n at any time. To continuously expand the s cope of the study. T he complexity and comprehensiv enes s of our work, deci de d to not only do w e want to be "profess ionals", or if "generalists", to dabble in different areas of knowle dge. Mastery of knowl edge not only to have k now ledge to rati onal a nalysis . Thi s on requirements we , not only to l earni ng national of route, a nd a pproa ch, and policy, als o to learning nati onal of legal, and regulati ons; not only to with politi cal the or y armed mind, al so t o w ith economic t heory g uide w ork; not only to read histor y, als o to rea d hist ory; not only t o absorpti on SM of mirror, als o to gets i s of road; not only t o from local le arn, al so to t o out side le arn; not only to to books lear n, als o to field study le arn. 状 运 停 于 处 备 设 械 机 部 全 内 , 前 在 。 新 重 后 修 检 或 次 初 的 统 系 区 氨 硝 脱 为 动 启 态 冷

learn other pe ople' s devel opme nt appr oach, a nd then come ba ck to gui de our work . Second, we must t hink. "Learni ng without thoug ht to overs hadow, t hinki ng without lear ning is peril ous." We want to foster the character of advancing wit h the times, f orge a head, often reflect themselves i n ada pting to the new s ituation on whet her ther e are delays , have anyt hing to fear in t he reform and innovation, whether i n terms of accelerating the devel opme nt of a relaxation, kee p pr omising State of mind. In order t o do i nvestigations, inve stigations is the r oad to heaven, God di sposes of the ba se . To wa nts to real heard trut h, and justi ce to tr uth, a nd get truth, receive d effectivene ss, on must i n-dept h act ual, and outreach, and in -de pth mas ses, w orshi p masse s for Divisi on, a nd mas ses heart, with mas ses wit h dis cussi on every one care of problem, liste ning t hey of calls , understa nd they of mood, feel they of suffering, summary they of experi ence, concentrated t hey of wis dom, e spe cially on masse s most hope, and most urgent, and most w orries, a nd m ost complai ned of hot, a nd difficulties a nd focus problem, more to active rese arch, caug ht not put. Dare to i nnovate, in our work , often remai n "the ol d way doesn't w ork, the new a ppr oach would not" situati on, t he reas on, t he key is that ma ny pe ople k now t hat copying other people's i deas, me cha nically, using some one e lse's old way s. To change t his pre dicame nt, requires us to break the s ha ckles of traditi onal conce pts to overcome conservative, conformist, good at findi ng ne w problems a nd t o accept new thi ngs, s ummarize new experie nce, new i deas, developing new programmes and Maveri ck, a ne w approa ch to solve probl ems, s pee d up devel opment . Especially i n impleme nt superior poli cy s pirit of proces s in the, both impl ementation, and ca nnot mechani cally, t o to extraordi nary of courage a nd develop enter prisi ng of s pirit, put flexibility a nd principl e com bine d up, put superi or of spirit a nd l ocal real ity com bine d up, Yong conspira cy t o breakthrough of poli cy, a nd exerci se innovation of lift, develope d out development w orks of, and gras s-r oots wel come s of

difficult, not hati ng; bl uepri nts, not rhetoric; wor ds and sim ple, but full of lov e, truth, pas sion, entre prene urial passi on. Take this opport unity, my ins pirational quotes Li Daz hao' s clas sic "iron s pecia lise i n uplifting ble nd w ith the article" gave everyone, wit h a view on how to do well under the new situati on of towns hip a nd v illage leaders inspire a nd hel p, and als o sh are with y ou. A g ood play to create iron shoul ders strong arms , to as sume the bur den be passe d; only s pe cific qualities, will it be possi ble in specific area s to cre ate a worl d. In my view, village chiefs i n the new s ituation, we must first have five basic quality. One am bition is to pioneer. "Who is handsome ." People only hig h-mi nde d ca n stimulate t he flow of momentum to become brave a nd persiste nt, be come quiet a nd pow erful. Townshi p and village party "leaders", wit hin their respective j uris dicti ons, political stabil ity and economi c and s ocial devel opment i ssues, decis ions and ori entation de pends t o a large extent beca use of your. Every body in village chiefs a nd the positions, both t he trust of the masses, t he Orga nization's trust , more abil ity to you, ful ly affirmed the moral and other qualiti es. Therefore, we must always maintain t he hist orical mis sion and social res ponsi bility, a nd our i deal tree roote d in the hard w ork of the s oil, wit h indomitabl e spirit, i ndomitable courage to open up a new situati on of villages and tow ns. To have a feeli ng of cl ose ness t o the se cond. "T he pe opl e and countr y." Our bus ines s foundati on in t he pe opl e's bl ood in the pe ople pow er pe ople . Advanced deci sions of t he party ca dres to the feelings of the pe ople i s an eter nal theme. Fa n Zhong-ya n, call ed "first, and e njoy comfort about ot hers", Zheng Banqiao' s also wr ote a "Ya Chai lay liste ning to t he rustli ng of bamboo, t he s uspect is suffering. Ca o County officials, little my, a total t urn off. "Old of feuda l official even ha s so feeli ngs, al one w e is to" servi ng "for purpose s of pe ople servant does? we m ore shoul d always hold with on pe opl e of dee p feeling s, heart D epartment mas ses of leading visite d tea, care mas ses of emoti ons thoughts compl aine d, always i nsiste d put mas ses of intere sts put in first, cons ciously from itself do up, from small do up, from mass es most care, and most directly, and most reality of interests problem grabbe d, real do love for people by D epartment, a nd rig ht for pe ople by with, a nd Lee for pe opl e by conspira cy to. Thre e with the fame of mind. "Non -indifferent not insist your dream, wit hout serenity not go far." As cension to fame is morality, i s the s ublimati on of the soul. As Township and village, be s ure to maintai n a normal state of mind, e stablis h a correct view poi nt on power, positi on a nd val ues a nd Outlook, as fame is light l ike water, depe ndi ng ... 5 0 km, also re d and like hundreds of thousa nds of the KMT military com bat, but he we nt on t o collect a variety of new spapers and magazine s, a nd the n race agai nst time to pore over. As long as the study of mind, it is not nece ssary to come to the library, works hops, i nto the village s, pe opl e learne d farming techniques, problem -s olving met hods, parti cipati on i n

(II)依题意, ? 的所有可能取值为 1,2,3,4,5 又 p(? ? 1) ?
1 C5 C 2 10 C 3 10 5 ? , p (? ? 2) ? 5 ? , p(? ? 3) ? 5 ? 31 31 31 31 31 31

p (? ? 4) ?

C54 5 ? , 31 31

p(? ? 5) ?

5 C5 1 ? 31 31

故 ? 的分布列为:

?
P

1

2

3

4

5

10 10 5 31 31 31 5 10 10 5 1 80 ? 从而 E ? ? 1? +2 ? +3 ? +4 ? +5 ? 31 31 31 31 31 31

5 31

1 31

17(13 分) 如图,四边形 ABCD 是边长为 1 的正方形, MD ? 平面ABCD ,

NB ? 平面ABCD ,且 MD=NB=1,E 为 BC 的中点
(1) 求异面直线 NE 与 AM 所成角的余弦值 (2) 在线段 AN 上是否存在点 S,使得 ES ? 平面 AMN?若存在,求线段 AS 的长;若不存在,请说明理由 17.解析: (1)在如图,以 D 为坐标原点,建立空间直角坐标 D ? xyz 依题意,得 D(0, 0, 0) A(1, 0, 0) M (0, 0,1), C (0,1, 0), B(1,1, 0), N (1,1,1), E ( ,1, 0) 。

1 2

1 ? NE ? (? , 0, ?1), AM ? (?1, 0,1) 2

cos ? NE, AM ??

NE AM 10 , ?? 10 | NE | ? | AM |
10 .A 10

所以异面直线 NE 与 AM 所成角的余弦值为

(2)假设在线段 AN 上存在点 S ,使得 ES ? 平面 AMN .

AN ? (0,1,1) ,
可设 AS ? ? AN ? (0, ?, ? ),

confere nces, lear ned superior s poli cie s; reports, you ca n lear n to dea l with pr obl ems, art, just wante d to lear n, to lear n at any time. T o continuously expand t he s cope of the st udy. T he complexity a nd compre hensiveness of our w ork, de cided to not only do we wa nt to be "pr ofessi onal s", or if "generalists", to dabble in different areas of knowledge . Mastery of knowl edge not only to hav e knowledge t o rational analy sis. T his on requireme nts we, not only to lear ning national of rout e, and approa ch, a nd poli cy, als o to learning nati onal of legal, and regulati ons; not only to with politi cal the ory armed mind, als o to wit h economic t he ory gui de work ; not only t o read history, al so to re ad hi story; not only to a bsor ption SM of mirror, als o to gets i s of roa d; not only to from loca l learn, al so to t o outside l earn; not only to t o books lear n, als o to field study le arn. 状 运 停 于 处 备 设 械 机 部 全 内 , 前 在 。 新 重 后 修 检 或 次 初 的 统 系 区 氨 硝 脱 为 动 启 态 冷

Therefore, I would e ncour age you, and more to the out side w orld w he n I have time to take a l ook at, take a stroll, outsi de

developments , learn other people's development a ppr oach, and the n come back t o gui de our work. Se cond, w e must thi nk. "Lear ning wit hout thought to overs hadow, thi nking wit hout learni ng is perilous." We want to foster the chara cter of adva nci ng with the times, forge ahead, often reflect themselves in a dapti ng to the new s ituation on whet her ther e are delay s, hav e anythi ng to fear in the reform and i nnovation, w hether i n terms of accelerati ng the development of a relaxati on, kee p pr omising State of mind. I n or der to do inve stigati ons, inv estigations is t he roa d to he aven, God dis pose s of the base. T o wa nts to real heard tr uth, a nd j ustice t o truth, a nd get tr uth, re ceived effectivene ss, on must i n-dept h actual, and outreach, and in -de pth mas ses, w ors hip mas ses for Divi sion, and masse s heart, wit h masse s with discus sion everyone car e of problem, liste ning t hey of call s, understand they of mood, feel they of s uffering, summary they of experie nce, conce ntrated t hey of wis dom, espe cially on masse s most hope, and most urge nt, and most w orries, a nd m ost complai ned of hot, a nd difficulties a nd focus pro blem, more to a ctive res earch, ca ught not put. Dare to i nnovate, in our w ork, often remai n "the ol d way does n't work, t he ne w approa ch w oul d not" sit uation, the rea s on, the key is that many people know that copying ot her pe opl e's ideas, mecha nically, usi ng some one el se's old way s. To cha nge thi s pre dicame nt, requires us to br eak the s hack les of traditi onal conce pts to overcome cons ervative, conformist, g ood at findi ng new problems and to a cce pt new t hi ngs, s ummarize ne w experie nce , new i deas , devel opi ng new programmes a nd Maverick, a new a ppr oach to s olve pr oblems , spe ed up dev elopment. Es pe cially in impl ement s uperi or policy s pirit of pr oce ss in t he, both impleme ntation, and ca nnot mechani call y, to to extraordi nary of courage a nd develop enter prisi ng of spirit, put flexibility a nd principle combi ne d up, put s uperior of s pirit and local reality

combi ned up, Yong cons piracy to breakthr oug h of policy, a nd exer cise i nnovation of lift, devel ope d out devel opme nt works of, and gra ss-r oot s welcomes of

第 5 页 共 13 页

difficult, not hati ng; bl uepri nts, not rhetoric; wor ds and sim ple, but full of lov e, truth, pas sion, entre prene urial passi on. Take this opport unity, my ins pirational quotes Li Daz hao' s clas sic "iron s pecia lise i n uplifting ble nd w ith the article" gave everyone, wit h a view on how to do well under the new situati on of towns hip a nd v illag e leaders inspire a nd hel p, and als o share with y ou. A g ood play to create iron shoul ders strong arms , to as sume the bur den be passe d; only s pe cific qualities, will it be possi ble in specific area s to cre ate a worl d. In my view, village chiefs i n the new s ituation, we must first have five basic quality. One am bition is to pioneer. "Who is handsome ." People only hig h-mi nde d ca n stimulate t he flow of momentum to become brave a nd persiste nt, be come quiet a nd pow erful. Townshi p and village party "leaders", wit hin their respective j uris dicti ons, political stabil ity and economi c and s ocial devel opment i ssues, decis ions and ori entat ion de pends t o a large extent beca use of your. Every body in village chiefs a nd the positions, both t he trust of the masses, t he Orga nization's trust , more abil ity to you, ful ly affirmed the moral and other qualiti es. Therefore, we must always maintain t he hist orical mis sion and social res ponsi bility, a nd our i deal tree roote d in the hard w ork of the s oil, wit h indomitabl e spirit, i ndomitable courage to open up a new situati on of villages and tow ns. To have a feeli ng of cl ose ness t o the se cond. "T he pe opl e and countr y." Our bus ines s foundati on in t he pe opl e's bl ood in the pe ople pow er pe ople . Advanced deci sions of t he party ca dres to the feelings of the pe ople i s an eter nal theme. Fa n Zhong-ya n, call ed "first, and e njoy comfort about ot hers", Zheng Banqiao' s also wr ote a "Ya Chai lay liste ning to t he rustli ng of bamboo, t he s uspect is suffering. Ca o County officials, little my, a tota l t urn off. "Old of feuda l official even ha s so feeli ngs, al one w e is to" servi ng "for purpose s of pe ople servant does? we m ore shoul d always hold with on pe opl e of dee p feeling s, heart D epartment mas ses of leading visite d tea, care mas ses of emoti ons thoughts compl aine d, always i nsiste d put mas ses of intere sts put in first, cons ciously from itself do up, from small do up, from mass es most care, and most directly, and most reality of interests problem grabbe d, real do love for people by D epartment, a nd rig ht for pe ople by with, a nd Lee for pe opl e by conspira cy to. Thre e with the fame of mind. "Non -indifferent not insist your dream, wit hout serenity not go far." As cension to fame is morality, i s the s ublimati on of the soul. As Township and village, be s ure to maintai n a normal state of mind, e stablis h a correct view poi nt on power, positi on a nd val ues a nd Outlook, as fame is light l ike water, depe ndi ng ... 5 0 km, also re d and like hundreds of thousa nds of the KMT military com bat, but he we nt on t o collect a v ariety of new spapers and magazine s, and the n race agai nst time to pore over. As long as the study of mind, it is not nece ssar y to come to the library, works hops, i nto the village s, pe opl e learne d farming techniques, problem -s olving met hods, parti cipati on i n

又 EA ? ( , ?1, 0),? ES ? EA ? AS ? ( , ? ? 1, ? ) .

1 2

1 2

? 1 ? ? ES AM ? 0, ?? ? ? ? 0, 由 ES ? 平面 AMN ,得 ? 即? 2 ? ? ES AN ? 0, ? ?(? ? 1) ? ? ? 0.
故? ?

1 1 1 2 ,此时 AS ? (0, , ),| AS |? . 2 2 2 2

经检验,当 AS ?

2 时, ES ? 平面 AMN . 2 2 . 2

故线段 AN 上存在点 S ,使得 ES ? 平面 AMN ,此时 AS ? 18、 (本小题满分 13 分) 如图,某市拟在长为 8km 的道路 OP 的一侧修建一条运动 赛道,赛道的前一部分为曲线段 OSM,该曲线段为函数 y=Asin ? x(A>0,

? >0) x ? [0,4]的图象,且图象的最高点为

S(3,2 3 );赛道的后一部分为折线段 MNP,为保证参赛 运动员的安全,限定 ? MNP=120 (I)求 A ,
o

? 的值和 M,P 两点间的距离;

(II)应如何设计,才能使折线段赛道 MNP 最长? 18.本小题主要考查三角函数的图象与性质、解三角形等基础知识,考查运算求解能力以及 应用数学知识分析和解决实际问题的能力,考查化归与转化思想、数形结合思想, 解法一 (Ⅰ)依题意,有 A ? 2 3 , 当 x ? 4 是,? y ? 2 3 sin
? M (4, 3) 又 p(8, 3)

T 2? ? ? ,? ? ? 。? y ? 2 3 sin x ? 3 ,又 T ? 4 ? 6 6

2? ?3 3

? MP ? 42 ? 32 ? 5

(Ⅱ)在△MNP 中∠MNP=120°,MP=5, 设∠PMN= ? ,则 0°< ? <60° 由正弦定理得
? NP ? MP NP MN ? ? 0 sin ? sin(60 0 ? ? ) sin 120

10 3 10 3 sin ? , ? MN ? sin(600 ? ? ) 3 3

confere nces , learne d s uperi ors polici es; re ports, y ou can lear n to deal with problems, art, j ust wante d to lear n, to lear n at any time. To continuously expand the s cope of the study. T he complexity and comprehensiv enes s of our work, deci de d to not only do w e want to be "profess ionals", or if "generalists", to dabble in different areas of knowle dge. Mastery of knowl edge not only to have k now ledge to rati onal a nalysis . Thi s on requirements we , not only to l earni ng national of route, a nd a pproa ch, and policy, als o to learning nati onal of legal, and regulati ons; not only to with politi cal the or y armed mind, al so t o w ith economic t heory g uide w ork; not only to read histor y, als o to rea d hist ory; not only t o absorpti on SM of mirror, als o to gets i s of road; not only t o from local le arn, al so to t o out side le arn; not only to to books lear n, als o to field study le arn. 状 运 停 于 处 备 设 械 机 部 全 内 , 前 在 。 新 重 后 修 检 或 次 初 的 统 系 区 氨 硝 脱 为 动 启 态 冷

Therefore, I woul d encourage you, and more to t he outside worl d whe n I have time to take a look at, take a stroll, outsi de dev elopments,

learn other pe ople' s devel opme nt appr oach, a nd then come ba ck to gui de our work . Second, we must t hink. "Learni ng without thoug ht to overs hadow, t hinki ng without lear ning is peril ous." We want to foster the character of advancing wit h the times, f orge a head, often reflect themselves i n ada pting to the new s ituation on whet her ther e are delays , have anyt hing to fear in t he reform and innovation, whether i n terms of accelerating the devel opme nt of a relaxation, kee p pr omising State of mind. In order t o do i nvestigations, inve stigations is the r oad to heaven, God di sposes of the ba se . To wa nts to real heard trut h, and justi ce to tr uth, a nd get truth, receive d effectivene ss, on must i n-dept h act ual, and outreach, and in -de pth mas ses, w orshi p masse s for Divisi on, a nd mas ses heart, with mas ses wit h dis cussi on every one care of problem, liste ning t hey of calls , understa nd they of mood, feel they of suffering, summary they of experi ence, concentrated t hey of wis dom, e spe cially on masse s most hope, and most urgent, and most w orries, a nd m ost complai ned of hot, a nd difficulties a nd focus problem, more to active rese arch, caug ht not put. Dare to i nnovate, in our work , often remai n "the ol d way doesn't w ork, the new a ppr oach would not" situati on, t he reas on, t he key is that ma ny pe ople k now t hat copying other people's i deas, me cha nically, using some one e lse's old way s. To change t his pre dicame nt, requires us to break the s ha ckles of traditi onal conce pts to overcome conservative, conformist, good at findi ng ne w problems a nd t o accept new thi ngs, s ummarize new experie nce, new i deas, developing new programmes and Maveri ck, a ne w approa ch to solve probl ems, s pee d up devel opment . Especially i n impleme nt superior poli cy s pirit of proces s in the, both impl ementation, and ca nnot mechani cally, t o to extraordi nary of courage a nd develop enter prisi ng of s pirit, put flexibility a nd principl e com bine d up, put superi or of spirit a nd l ocal real ity com bine d up, Yong conspira cy t o breakthrough of poli cy, a nd exerci se innovation of lift, develope d out development w orks of, and gras s-r oots wel come s of

difficult, not hati ng; bl uepri nts, not rhetoric; wor ds and sim ple, but full of lov e, truth, pas sion, entre prene urial passi on. Take this opport unity, my ins pirational quotes Li Daz hao' s clas sic "iron s pecia lise i n uplifting ble nd w ith the article" gave everyone, wit h a view on how to do well under the new situati on of towns hip a nd v illage leaders inspire a nd hel p, and als o sh are with y ou. A g ood play to create iron shoul ders strong arms , to as sume the bur den be passe d; only s pe cific qualities, will it be possi ble in specific area s to cre ate a worl d. In my view, village chiefs i n the new s ituation, we must first have five basic quality. One am bition is to pioneer. "Who is handsome ." People only hig h-mi nde d ca n stimulate t he flow of momentum to become brave a nd persiste nt, be come quiet a nd pow erful. Townshi p and village party "leaders", wit hin their respective j uris dicti ons, political stabil ity and economi c and s ocial devel opment i ssues, decis ions and ori entation de pends t o a large extent beca use of your. Every body in village chiefs a nd the positions, both t he trust of the masses, t he Orga nization's trust , more abil ity to you, ful ly affirmed the moral and other qualiti es. Therefore, we must always maintain t he hist orical mis sion and social res ponsi bility, a nd our i deal tree roote d in the hard w ork of the s oil, wit h indomitabl e spirit, i ndomitable courage to open up a new situati on of villages and tow ns. To have a feeli ng of cl ose ness t o the se cond. "T he pe opl e and countr y." Our bus ines s foundati on in t he pe opl e's bl ood in the pe ople pow er pe ople . Advanced deci sions of t he party ca dres to the feelings of the pe ople i s an eter nal theme. Fa n Zhong-ya n, call ed "first, and e njoy comfort about ot hers", Zheng Banqiao' s also wr ote a "Ya Chai lay liste ning to t he rustli ng of bamboo, t he s uspect is suffering. Ca o County officials, little my, a total t urn off. "Old of feuda l official even ha s so feeli ngs, al one w e is to" servi ng "for purpose s of pe ople servant does? we m ore shoul d always hold with on pe opl e of dee p feeling s, heart D epartment mas ses of leading visite d tea, care mas ses of emoti ons thoughts compl aine d, always i nsiste d put mas ses of intere sts put in first, cons ciously from itself do up, from small do up, from mass es most care, and most directly, and most reality of interests problem grabbe d, real do love for people by D epartment, a nd rig ht for pe ople by with, a nd Lee for pe opl e by conspira cy to. Thre e with the fame of mind. "Non -indifferent not insist your dream, wit hout serenity not go far." As cension to fame is morality, i s the s ublimati on of the soul. As Township and village, be s ure to maintai n a normal state of mind, e stablis h a correct view poi nt on power, positi on a nd val ues a nd Outlook, as fame is light l ike water, depe ndi ng ... 5 0 km, also re d and like hundreds of thousa nds of the KMT military com bat, but he we nt on t o collect a variety of new spapers and magazine s, a nd the n race agai nst time to pore over. As long as the study of mind, it is not nece ssary to come to the library, works hops, i nto the village s, pe opl e learne d farming techniques, problem -s olving met hods, parti cipati on i n

故 NP ? MN ?
?

10 3 10 3 10 3 1 3 sin ? ? sin(600 ? ? ) ? ( sin ? ? cos ? ) 3 3 3 2 3

10 3 sin(? ? 600 ) 3

0°< ? <60°,? 当 ? =30°时,折线段赛道 MNP 最长 亦即,将∠PMN 设计为 30°时,折线段道 MNP 最长 解法二: (Ⅰ)同解法一 (Ⅱ)在△MNP 中,∠MNP=120°,MP=5, 由余弦定理得 MN 2 ? NP 2 ? 2MN NP cos ∠MNP= MP 2 即 MN 2 ? NP 2 ? MN NP ? 25 故 (MN ? NP)2 ? 25 ? MN NP ? (
MN ? NP 2 ) 2

10 3 3 从而 (MN ? NP)2 ? 25 ,即 MN ? NP ? 3 4 当且仅当 MN ? NP 时,折线段道 MNP 最长 注:本题第(Ⅱ)问答案及其呈现方式均不唯一,除了解法一、 解法二给出的两种设计方式,

还可以设计为:① N ( 平分线上等

12 ? 3 9 ? 4 3 12 ? 3 9 ? 4 3 , ) , ) ;② N ( ;③点 N 在线段 MP 的垂直 2 6 2 6

19、 (本小题满分 13 分) 已知 A,B 分别为曲线 C:

x2 + y 2 =1(y ? 0,a>0)与 x 轴 2 a

的左、右两个交点,直线 l 过点 B,且与 x 轴垂直,S 为 l 上 异于点 B 的一点,连结 AS 交曲线 C 于点 T. (1)若曲线 C 为半圆,点 T 为圆弧 AB 的三等分点,试求出点 S 的坐标; (II)如图,点 M 是以 SB 为直径的圆与线段 TB 的交点,试问:是否存在 a ,使得 O,M,S 三 点共线?若存在,求出 a 的值,若不存在,请说明理由。 19.【解析】 解法一: (Ⅰ)当曲线 C 为半圆时, a ? 1, 如图,由点 T 为圆弧 AB 的三等分点得∠BOT=60°或 120°. (1)当∠BOT=60°时, ∠SAE=30°. 又 AB=2,故在△SAE 中,有 SB ? AB ? tan 30? ?
? ? ? ? ,? s (t , ); ? ? 2 3 )或S(1,2 3) 3
Therefore, I would e ncour age you, and more to the out side w orld w he n I have time to take a l ook at, take a stroll, outsi de

(2)当∠BOT=120°时,同理可求得点 S 的坐标为 (1, 2 3) ,综上, S (1,

confere nces, lear ned superior s poli cie s; reports, you ca n lear n to dea l with pr obl ems, art, just wante d to lear n, to lear n at any time. T o continuously expand t he s cope of the st udy. T he complexity a nd compre hensiveness of our w ork, de cided to not only do we wa nt to be "pr ofessi onal s", or if "generalists", to dabble in different areas of knowledge . Mastery of knowl edge not only to hav e knowledge t o rational analy sis. T his on requireme nts we, not only to lear ning national of rout e, and approa ch, a nd poli cy, als o to learning nati onal of legal, and regulati ons; not only to with politi cal the ory armed mind, als o to wit h economic t he ory gui de work ; not only t o read history, al so to re ad hi story; not only to a bsor ption SM of mirror, als o to gets i s of roa d; not only to from loca l learn, al so to t o outside l earn; not only to t o books lear n, als o to field study le arn. 状 运 停 于 处 备 设 械 机 部 全 内 , 前 在 。 新 重 后 修 检 或 次 初 的 统 系 区 氨 硝 脱 为 动 启 态 冷

developments , learn other people's development a ppr oach, and the n come back t o gui de our work. Se cond, w e must thi nk. "Lear ning wit hout thought to overs hadow, thi nking wit hout learni ng is perilous." We want to foster the chara cter of adva nci ng with the times, forge ahead, often reflect themselves in a dapti ng to the new s ituation on whet her ther e are delay s, hav e anythi ng to fear in the reform and i nnovation, w hether i n terms of accelerati ng the development of a relaxati on, kee p pr omising State of mind. I n or der to do inve stigati ons, inv estigations is t he roa d to he aven, God dis pose s of the base. T o wa nts to real heard tr uth, a nd j ustice t o truth, a nd get tr uth, re ceived effectivene ss, on must i n-dept h actual, and outreach, and in -de pth mas ses, w ors hip mas ses for Divi sion, and masse s heart, wit h masse s with discus sion everyone car e of problem, liste ning t hey of call s, understand they of mood, feel they of s uffering, summary they of experie nce, conce ntrated t hey of wis dom, espe cially on masse s most hope, and most urge nt, and most w orries, a nd m ost complai ned of hot, a nd difficulties a nd focus pro blem, more to a ctive res earch, ca ught not put. Dare to i nnovate, in our w ork, often remai n "the ol d way does n't work, t he ne w approa ch w oul d not" sit uation, the rea s on, the key is that many people know that copying ot her pe opl e's ideas, mecha nically, usi ng some one el se's old way s. To cha nge thi s pre dicame nt, requires us to br eak the s hack les of traditi onal conce pts to overcome cons ervative, conformist, g ood at findi ng new problems and to a cce pt new t hi ngs, s ummarize ne w experie nce , new i deas , devel opi ng new programmes a nd Maverick, a new a ppr oach to s olve pr oblems , spe ed up dev elopment. Es pe cially in impl ement s uperi or policy s pirit of pr oce ss in t he, both impleme ntation, and ca nnot mechani call y, to to extraordi nary of courage a nd develop enter prisi ng of spirit, put flexibility a nd principle combi ne d up, put s uperior of s pirit and local reality

combi ned up, Yong cons piracy to breakthr oug h of policy, a nd exer cise i nnovation of lift, devel ope d out devel opme nt works of, and gra ss-r oot s welcomes of

第 7 页 共 13 页

difficult, not hati ng; bl uepri nts, not rhetoric; wor ds and sim ple, but full of lov e, truth, pas sion, entre prene urial passi on. Take this opport unity, my ins pirational quotes Li Daz hao' s clas sic "iron s pecia lise i n uplifting ble nd w ith the article" gave everyone, wit h a view on how to do well under the new situati on of towns hip a nd v illag e leaders inspire a nd hel p, and als o share with y ou. A g ood play to create iron shoul ders strong arms , to as sume the bur den be passe d; only s pe cific qualities, will it be possi ble in specific area s to cre ate a worl d. In my view, village chiefs i n the new s ituation, we must first have five basic quality. One am bition is to pioneer. "Who is handsome ." People only hig h-mi nde d ca n stimulate t he flow of momentum to become brave a nd persiste nt, be come quiet a nd pow erful. Townshi p and village party "leaders", wit hin their respective j uris dicti ons, political stabil ity and economi c and s ocial devel opment i ssues, decis ions and ori entat ion de pends t o a large extent beca use of your. Every body in village chiefs a nd the positions, both t he trust of the masses, t he Orga nization's trust , more abil ity to you, ful ly affirmed the moral and other qualiti es. Therefore, we must always maintain t he hist orical mis sion and social res ponsi bility, a nd our i deal tree roote d in the hard w ork of the s oil, wit h indomitabl e spirit, i ndomitable courage to open up a new situati on of villages and tow ns. To have a feeli ng of cl ose ness t o the se cond. "T he pe opl e and countr y." Our bus ines s foundati on in t he pe opl e's bl ood in the pe ople pow er pe ople . Advanced deci sions of t he party ca dres to the feelings of the pe ople i s an eter nal theme. Fa n Zhong-ya n, call ed "first, and e njoy comfort about ot hers", Zheng Banqiao' s also wr ote a "Ya Chai lay liste ning to t he rustli ng of bamboo, t he s uspect is suffering. Ca o County officials, little my, a tota l t urn off. "Old of feuda l official even ha s so feeli ngs, al one w e is to" servi ng "for purpose s of pe ople servant does? we m ore shoul d always hold with on pe opl e of dee p feeling s, heart D epartment mas ses of leading visite d tea, care mas ses of emoti ons thoughts compl aine d, always i nsiste d put mas ses of intere sts put in first, cons ciously from itself do up, from small do up, from mass es most care, and most directly, and most reality of interests problem grabbe d, real do love for people by D epartment, a nd rig ht for pe ople by with, a nd Lee for pe opl e by conspira cy to. Thre e with the fame of mind. "Non -indifferent not insist your dream, wit hout serenity not go far." As cension to fame is morality, i s the s ublimati on of the soul. As Township and village, be s ure to maintai n a normal state of mind, e stablis h a correct view poi nt on power, positi on a nd val ues a nd Outlook, as fame is light l ike water, depe ndi ng ... 5 0 km, also re d and like hundreds of thousa nds of the KMT military com bat, but he we nt on t o collect a v ariety of new spapers and magazine s, and the n race agai nst time to pore over. As long as the study of mind, it is not nece ssar y to come to the library, works hops, i nto the village s, pe opl e learne d farming techniques, problem -s olving met hods, parti cipati on i n

(Ⅱ)假设存在 a(a ? 0) ,使得 O,M,S 三点共线. 由于点 M 在以 SB 为直线的圆上,故 BT ? OS . 显然,直线 AS 的斜率 k 存在且 k>0,可设直线 AS 的方程为 y ? k ( x ? a ) .
? x2 2 ? ? y ?1 得(1 ? a 2 k 2 ) x 2 ? 2a 2 k 2 x ? a 4 k 2 ? a 2 ? 0 由 ? a2 ? y ? k ( x ? a) ?

设点 T ( xT , yT ),? xT ? (?a) ? 故 xT ? 亦即 T (

a2 k 2 ? a2 , 1 ? a2 k 2

2ak a ? a2 k 2 ,从而 y T ? k ( xT ? a) ? . 2 2 1 ? a2 k 2 1? a k

a ? a2 k 2 2ak , ). 1 ? a2 k 2 1 ? a2 k 2

?2a2 k 2 2ak B(a,0),? BT ? (( , )) 2 2 1 ? a k 1 ? a2 k 2
?x ? a 由? 得 s(a,2ak ),?OS ? (a,2ak ). ? y ? k ( x ? a)

由 BT ? OS ,可得 BT ? OS ?
k ? 0, a ? 0,? a ? 2

?2a2 k 2 ? 4a2 k 2 ? 0 即 ?2a 2 k 2 ? 4a 2 k 2 ? 0 2 1? a k2

经检验,当 a ? 2 时,O,M,S 三点共线.

故存在 a ? 2 ,使得 O,M,S 三点共线.

解法二: (Ⅰ)同解法一. (Ⅱ)假设存在 a,使得 O,M,S 三点共线. 由于点 M 在以 SO 为直径的圆上,故 SM ? BT . 显然,直线 AS 的斜率 k 存在且 K>0,可设直线 AS 的方程为 y ? k ( x ? a )
? x2 2 ? ? y ?1 得(1 ? a 2 b 2 ) x 2 ? 2a 2 k 2 x ? a 2 k 2 ? a 2 ? 0 由 ? a2 ? y ? k ( x ? a) ?

设点 T ( xT , yT ) ,则有 xT ? (?a) ? 故 xT ?

a4 k 2 ? a2 . 1 ? a2 k 2

a ? a2 k 2 2ak a ? a2 k 2 2ak , 从而 y ? k ( x ? a ) ? 亦即 T ( ? ). T T 2 2 2 2 2 2 a?a k 1? a k 1 ? a k 1 ? a2 k 2 yT 1 B (a, 0),? k BT ? ? ? 2 , 故k SM ? a 2 k xT ? a a k

?x ? a 得S(a,2ak),所直线 SM 的方程为 y ? 2ak ? a2 k ( x ? a) 由? y ? k ( x ? a ) ?

O,S,M 三点共线当且仅当 O 在直线 SM 上,即 2ak ? a2 k (?a) .

confere nces , learne d s uperi ors polici es; re ports, y ou can lear n to deal with problems, art, j ust wante d to lear n, to lear n at any time. To continuously expand the s cope of the study. T he complexity and comprehensiv enes s of our work, deci de d to not only do w e want to be "profess ionals", or if "generalists", to dabble in different areas of knowle dge. Mastery of knowl edge not only to have k now ledge to rati onal a nalysis . Thi s on requirements we , not only to l earni ng national of route, a nd a pproa ch, and policy, als o to learning nati onal of legal, and regulati ons; not only to with politi cal the or y armed mind, al so t o w ith economic t heory g uide w ork; not only to read histor y, als o to rea d hist ory; not only t o absorpti on SM of mirror, als o to gets i s of road; not only t o from local le arn, al so to t o out side le arn; not only to to books lear n, als o to field study le arn. 状 运 停 于 处 备 设 械 机 部 全 内 , 前 在 。 新 重 后 修 检 或 次 初 的 统 系 区 氨 硝 脱 为 动 启 态 冷

Therefore, I woul d encourage you, and more to t he outside worl d whe n I have time to take a look at, take a stroll, outsi de dev elopments,

learn other pe ople' s devel opme nt appr oach, a nd then come ba ck to gui de our work . Second, we must t hink. "Learni ng without thoug ht to overs hadow, t hinki ng without lear ning is peril ous." We want to foster the character of advancing wit h the times, f orge a head, often reflect themselves i n ada pting to the new s ituation on whet her ther e are delays , have anyt hing to fear in t he reform and innovation, whether i n terms of accelerating the devel opme nt of a relaxation, kee p pr omising State of mind. In order t o do i nvestigations, inve stigations is the r oad to heaven, God di sposes of the ba se . To wa nts to real heard trut h, and justi ce to tr uth, a nd get truth, receive d effectivene ss, on must i n-dept h act ual, and outreach, and in -de pth mas ses, w orshi p masse s for Divisi on, a nd mas ses heart, with mas ses wit h dis cussi on every one care of problem, liste ning t hey of calls , understa nd they of mood, feel they of suffering, summary they of experi ence, concentrated t hey of wis dom, e spe cially on masse s most hope, and most urgent, and most w orries, a nd m ost complai ned of hot, a nd difficulties a nd focus problem, more to active rese arch, caug ht not put. Dare to i nnovate, in our work , often remai n "the ol d way doesn't w ork, the new a ppr oach would not" situati on, t he reas on, t he key is that ma ny pe ople k now t hat copying other people's i deas, me cha nically, using some one e lse's old way s. To change t his pre dicame nt, requires us to break the s ha ckles of traditi onal conce pts to overcome conservative, conformist, good at findi ng ne w problems a nd t o accept new thi ngs, s ummarize new experie nce, new i deas, developing new programmes and Maveri ck, a ne w approa ch to solve probl ems, s pee d up devel opment . Especially i n impleme nt superior poli cy s pirit of proces s in the, both impl ementation, and ca nnot mechani cally, t o to extraordi nary of courage a nd develop enter prisi ng of s pirit, put flexibility a nd principl e com bine d up, put superi or of spirit a nd l ocal real ity com bine d up, Yong conspira cy t o breakthrough of poli cy, a nd exerci se innovation of lift, develope d out development w orks of, and gras s-r oots wel come s of

difficult, not hati ng; bl uepri nts, not rhetoric; wor ds and sim ple, but full of lov e, truth, pas sion, entre prene urial passi on. Take this opport unity, my ins pirational quotes Li Daz hao' s clas sic "iron s pecia lise i n uplifting ble nd w ith the article" gave everyone, wit h a view on how to do well under the new situati on of towns hip a nd v illage leaders inspire a nd hel p, and als o sh are with y ou. A g ood play to create iron shoul ders strong arms , to as sume the bur den be passe d; only s pe cific qualities, will it be possi ble in specific area s to cre ate a worl d. In my view, village chiefs i n the new s ituation, we must first have five basic quality. One am bition is to pioneer. "Who is handsome ." People only hig h-mi nde d ca n stimulate t he flow of momentum to become brave a nd persiste nt, be come quiet a nd pow erful. Townshi p and village party "leaders", wit hin their respective j uris dicti ons, political stabil ity and economi c and s ocial devel opment i ssues, decis ions and ori entation de pends t o a large extent beca use of your. Every body in village chiefs a nd the positions, both t he trust of the masses, t he Orga nization's trust , more abil ity to you, ful ly affirmed the moral and other qualiti es. Therefore, we must always maintain t he hist orical mis sion and social res ponsi bility, a nd our i deal tree roote d in the hard w ork of the s oil, wit h indomitabl e spirit, i ndomitable courage to open up a new situati on of villages and tow ns. To have a feeli ng of cl ose ness t o the se cond. "T he pe opl e and countr y." Our bus ines s foundati on in t he pe opl e's bl ood in the pe ople pow er pe ople . Advanced deci sions of t he party ca dres to the feelings of the pe ople i s an eter nal theme. Fa n Zhong-ya n, call ed "first, and e njoy comfort about ot hers", Zheng Banqiao' s also wr ote a "Ya Chai lay liste ning to t he rustli ng of bamboo, t he s uspect is suffering. Ca o County officials, little my, a total t urn off. "Old of feuda l official even ha s so feeli ngs, al one w e is to" servi ng "for purpose s of pe ople servant does? we m ore shoul d always hold with on pe opl e of dee p feeling s, heart D epartment mas ses of leading visite d tea, care mas ses of emoti ons thoughts compl aine d, always i nsiste d put mas ses of intere sts put in first, cons ciously from itself do up, from small do up, from mass es most care, and most directly, and most reality of interests problem grabbe d, real do love for people by D epartment, a nd rig ht for pe ople by with, a nd Lee for pe opl e by conspira cy to. Thre e with the fame of mind. "Non -indifferent not insist your dream, wit hout serenity not go far." As cension to fame is morality, i s the s ublimati on of the soul. As Township and village, be s ure to maintai n a normal state of mind, e stablis h a correct view poi nt on power, positi on a nd val ues a nd Outlook, as fame is light l ike water, depe ndi ng ... 5 0 km, also re d and like hundreds of thousa nds of the KMT military com bat, but he we nt on t o collect a variety of new spapers and magazine s, a nd the n race agai nst time to pore over. As long as the study of mind, it is not nece ssary to come to the library, works hops, i nto the village s, pe opl e learne d farming techniques, problem -s olving met hods, parti cipati on i n

a ? 0, K ? 0,? a ? 2

故存在 a ? 2 ,使得 O,M,S 三点共线. 20、 (本小题满分 14 分) 已知函数 f ( x) ?

1 3 x ? ax 2 ? bx ,且 f '(?1) ? 0 3

(1) 试用含 a 的代数式表示 b,并求 f ( x ) 的单调区间; ( 2 ) 令 a ? ?1 , 设 函 数 f ( x ) 在 x1 , x2 ( x1 ? x2 ) 处 取 得 极 值 , 记 点 M ( x1 , f ( x1 ) ) , N( x2 , f ( x2 ) ),P( m, f ( m) ),

x1 ? m ? x2 ,请仔细观察曲线 f ( x) 在点 P 处的切线与线段

MP 的位置变化趋势,并解释以下问题: (I)若对任意的 m ? ( x1 , x 2 ),线段 MP 与曲线 f(x)均有异于 M,P 的公共点,试确定 t 的最 小值,并证明你的结论; (II)若存在点 Q(n ,f(n)), x ? n< m,使得线段 PQ 与曲线 f(x)有异于 P、Q 的公共点,请直接 写出 m 的取值范围(不必给出求解过程) 20.解法一: (Ⅰ)依题意,得 f '( x) ? x2 ? 2ax ? b 由 f '(?1) ? 1 ? 2a ? b ? 0得b ? 2a ? 1 .

1 从而 f ( x) ? x3 ? ax2 ? (2a ? 1) x, 故f '( x) ? ( x ? 1)( x ? 2a ? 1). 3
令 f '( x) ? 0, 得x ? ?1或x ? 1 ? 2a. ①当 a>1 时, 1 ? 2a ? ?1 当 x 变化时, f '( x) 与 f ( x ) 的变化情况如下表: x

(??,1 ? 2a)
+ 单调递增

(1 ? 2a, ?1)
- 单调递减

(?1, ??)
+ 单调递增

f '( x)
f ( x)

由此得,函数 f ( x ) 的单调增区间为 (??,1 ? 2a) 和 (?1, ??) ,单调减区间为 (1 ? 2a, ?1) 。 ②当 a ? 1 时, 1 ? 2a ? ?1此时有 f '( x ) ? 0 恒成立,且仅在 x ? ?1 处 f '( x) ? 0 ,故函数

confere nces, lear ned superior s poli cie s; reports, you ca n lear n to dea l with pr obl ems, art, just wante d to lear n, to lear n at any time. T o continuously expand t he s cope of the st udy. T he complexity a nd compre hensiveness of our w ork, de cided to not only do we wa nt to be "pr ofessi onal s", or if "generalists", to dabble in different areas of knowledge . Mastery of knowl edge not only to hav e knowledge t o rational analy sis. T his on requireme nts we, not only to lear ning national of rout e, and approa ch, a nd poli cy, als o to learning nati onal of legal, and regulati ons; not only to with politi cal the ory armed mind, als o to wit h economic t he ory gui de work ; not only t o read history, al so to re ad hi story; not only to a bsor ption SM of mirror, als o to gets i s of roa d; not only to from loca l learn, al so to t o outside l earn; not only to t o books lear n, als o to field study le arn. 状 运 停 于 处 备 设 械 机 部 全 内 , 前 在 。 新 重 后 修 检 或 次 初 的 统 系 区 氨 硝 脱 为 动 启 态 冷

Therefore, I would e ncour age you, and more to the out side w orld w he n I have time to take a l ook at, take a stroll, outsi de

developments , learn other people's development a ppr oach, and the n come back t o gui de our work. Se cond, w e must thi nk. "Lear ning wit hout thought to overs hadow, thi nking wit hout learni ng is perilous." We want to foster the chara cter of adva nci ng with the times, forge ahead, often reflect themselves in a dapti ng to the new s ituation on whet her ther e are delay s, hav e anythi ng to fear in the reform and i nnovation, w hether i n terms of accelerati ng the development of a relaxati on, kee p pr omising State of mind. I n or der to do inve stigati ons, inv estigations is t he roa d to he aven, God dis pose s of the base. T o wa nts to real heard tr uth, a nd j ustice t o truth, a nd get tr uth, re ceived effectivene ss, on must i n-dept h actual, and outreach, and in -de pth mas ses, w ors hip mas ses for Divi sion, and masse s heart, wit h masse s with discus sion everyone car e of problem, liste ning t hey of call s, understand they of mood, feel they of s uffering, summary they of experie nce, conce ntrated t hey of wis dom, espe cially on masse s most hope, and most urge nt, and most w orries, a nd m ost complai ned of hot, a nd difficulties a nd focus pro blem, more to a ctive res earch, ca ught not put. Dare to i nnovate, in our w ork, often remai n "the ol d way does n't work, t he ne w approa ch w oul d not" sit uation, the rea s on, the key is that many people know that copying ot her pe opl e's ideas, mecha nically, usi ng some one el se's old way s. To cha nge thi s pre dicame nt, requires us to br eak the s hack les of traditi onal conce pts to overcome cons ervative, conformist, g ood at findi ng new problems and to a cce pt new t hi ngs, s ummarize ne w experie nce , new i deas , devel opi ng new programmes a nd Maverick, a new a ppr oach to s olve pr oblems , spe ed up dev elopment. Es pe cially in impl ement s uperi or policy s pirit of pr oce ss in t he, both impleme ntation, and ca nnot mechani call y, to to extraordi nary of courage a nd develop enter prisi ng of spirit, put flexibility a nd principle combi ne d up, put s uperior of s pirit and local reality

combi ned up, Yong cons piracy to breakthr oug h of policy, a nd exer cise i nnovation of lift, devel ope d out devel opme nt works of, and gra ss-r oot s welcomes of

第 9 页 共 13 页

difficult, not hati ng; bl uepri nts, not rhetoric; wor ds and sim ple, but full of lov e, truth, pas sion, entre prene urial passi on. Take this opport unity, my ins pirational quotes Li Daz hao' s clas sic "iron s pecia lise i n uplifting ble nd w ith the article" gave everyone, wit h a view on how to do well under the new situati on of towns hip a nd v illag e leaders inspire a nd hel p, and als o share with y ou. A g ood play to create iron shoul ders strong arms , to as sume the bur den be passe d; only s pe cific qualities, will it be possi ble in specific area s to cre ate a worl d. In my view, village chiefs i n the new s ituation, we must first have five basic quality. One am bition is to pioneer. "Who is handsome ." People only hig h-mi nde d ca n stimulate t he flow of momentum to become brave a nd persiste nt, be come quiet a nd pow erful. Townshi p and village party "leaders", wit hin their respective j uris dicti ons, political stabil ity and economi c and s ocial devel opment i ssues, decis ions and ori entat ion de pends t o a large extent beca use of your. Every body in village chiefs a nd the positions, both t he trust of the masses, t he Orga nization's trust , more abil ity to you, ful ly affirmed the moral and other qualiti es. Therefore, we must always maintain t he hist orical mis sion and social res ponsi bility, a nd our i deal tree roote d in the hard w ork of the s oil, wit h indomitabl e spirit, i ndomitable courage to open up a new situati on of villages and tow ns. To have a feeli ng of cl ose ness t o the se cond. "T he pe opl e and countr y." Our bus ines s foundati on in t he pe opl e's bl ood in the pe ople pow er pe ople . Advanced deci sions of t he party ca dres to the feelings of the pe ople i s an eter nal theme. Fa n Zhong-ya n, call ed "first, and e njoy comfort about ot hers", Zheng Banqiao' s also wr ote a "Ya Chai lay liste ning to t he rustli ng of bamboo, t he s uspect is suffering. Ca o County officials, little my, a tota l t urn off. "Old of feuda l official even ha s so feeli ngs, al one w e is to" servi ng "for purpose s of pe ople servant does? we m ore shoul d always hold with on pe opl e of dee p feeling s, heart D epartment mas ses of leading visite d tea, care mas ses of emoti ons thoughts compl aine d, always i nsiste d put mas ses of intere sts put in first, cons ciously from itself do up, from small do up, from mass es most care, and most directly, and most reality of interests problem grabbe d, real do love for people by D epartment, a nd rig ht for pe ople by with, a nd Lee for pe opl e by conspira cy to. Thre e with the fame of mind. "Non -indifferent not insist your dream, wit hout serenity not go far." As cension to fame is morality, i s the s ublimati on of the soul. As Township and village, be s ure to maintai n a normal state of mind, e stablis h a correct view poi nt on power, positi on a nd val ues a nd Outlook, as fame is light l ike water, depe ndi ng ... 5 0 km, also re d and like hundreds of thousa nds of the KMT military com bat, but he we nt on t o collect a v ariety of new spapers and magazine s, and the n race agai nst time to pore over. As long as the study of mind, it is not nece ssar y to come to the library, works hops, i nto the village s, pe opl e learne d farming techniques, problem -s olving met hods, parti cipati on i n

f ( x) 的单调增区间为 R
③当 a ? 1 时, 1 ? 2a ? ?1 同理可得,函数 f ( x ) 的单调增区间为 (??, ?1) 和 (1 ? 2a, ??) , 单调减区间为 (?1,1 ? 2a) 综上: 当 a ? 1 时, 函数 f ( x ) 的单调增区间为 (??,1 ? 2a) 和 (?1, ??) , 单调减区间为 (1 ? 2a, ?1) ; 当 a ? 1 时,函数 f ( x ) 的单调增区间为 R; 当 a ? 1 时, 函数 f ( x ) 的单调增区间为 (??, ?1) 和 (1 ? 2a, ??) , 单调减区间为 (?1,1 ? 2a) . (Ⅱ)由 a ? ?1 得 f ( x) ?

1 3 x ? x 2 ? 3x 令 f ( x) ? x2 ? 2x ? 3 ? 0 得 x1 ? ?1, x2 ? 3 3

由(1)得 f ( x ) 增区间为 (??, ?1) 和 (3, ??) ,单调减区间为 (?1,3) ,所以函数 f ( x ) 在处

5 。 x1 ? ?1, x2 ? 3 取得极值,故 M( ?1, )N( 3, ?9 ) 3
观察 f ( x ) 的图象,有如下现象: ①当 m 从-1(不含-1)变化到 3 时,线段 MP 的斜率与曲线 f ( x ) 在点 P 处切线的斜率 f ( x ) 之差 Kmp- f '(m) 的值由正连续变为负。 ②线段 MP 与曲线是否有异于 H,P 的公共点与 Kmp- f '(m) 的 m 正负有着密切的关联; ③Kmp- f '(m) =0 对应的位置可能是临界点,故推测:满足 Kmp- f '(m) 的 m 就是所求的 t 最小值,下面给出证明并确定的 t 最小值 . 曲线 f ( x ) 在点 P( m, f ( m))处的切线斜率

f '(m) ? m2 ? 2m ? 3 ;
线段 MP 的斜率 Kmp ?

m 2 ? 4m ? 5 3

当 Kmp- f '(m) =0 时,解得 m ? ?1或m ? 2

m 2 ? 4m ? 5 m 2 ? 4m x? ) 直线 MP 的方程为 y ? ( 3 3
令 g ( x) ? f ( x) ? (

m 2 ? 4m ? 5 m 2 ? 4m x? ) 3 3

confere nces , learne d s uperi ors polici es; re ports, y ou can lear n to deal with problems, art, j ust wante d to lear n, to lear n at any time. To continuously expand the s cope of the study. T he complexity and comprehensiv enes s of our work, deci de d to not only do w e want to be "profess ionals", or if "generalists", to dabble in different areas of knowle dge. Mastery of knowl edge not only to have k now ledge to rati onal a nalysis . Thi s on requirements we , not only to l earni ng national of route, a nd a pproa ch, and policy, als o to learning nati onal of legal, and regulati ons; not only to with politi cal the or y armed mind, al so t o w ith economic t heory g uide w ork; not only to read histor y, als o to rea d hist ory; not only t o absorpti on SM of mirror, als o to gets i s of road; not only t o from local le arn, al so to t o out side le arn; not only to to books lear n, als o to field study le arn. 状 运 停 于 处 备 设 械 机 部 全 内 , 前 在 。 新 重 后 修 检 或 次 初 的 统 系 区 氨 硝 脱 为 动 启 态 冷

Therefore, I woul d encourage you, and more to t he outside worl d whe n I have time to take a look at, take a stroll, outsi de dev elopments,

learn other pe ople' s devel opme nt appr oach, a nd then come ba ck to gui de our work . Second, we must t hink. "Learni ng without thoug ht to overs hadow, t hinki ng without lear ning is peril ous." We want to foster the character of advancing wit h the times, f orge a head, often reflect themselves i n ada pting to the new s ituation on whet her ther e are delays , have anyt hing to fear in t he reform and innovation, whether i n terms of accelerating the devel opme nt of a relaxation, kee p pr omising State of mind. In order t o do i nvestigations, inve stigations is the r oad to heaven, God di sposes of the ba se . To wa nts to real heard trut h, and justi ce to tr uth, a nd get truth, receive d effectivene ss, on must i n-dept h act ual, and outreach, and in -de pth mas ses, w orshi p masse s for Divisi on, a nd mas ses heart, with mas ses wit h dis cussi on every one care of problem, liste ning t hey of calls , understa nd they of mood, feel they of suffering, summary they of experi ence, concentrated t hey of wis dom, e spe cially on masse s most hope, and most urgent, and most w orries, a nd m ost complai ned of hot, a nd difficulties a nd focus problem, more to active rese arch, caug ht not put. Dare to i nnovate, in our work , often remai n "the ol d way doesn't w ork, the new a ppr oach would not" situati on, t he reas on, t he key is that ma ny pe ople k now t hat copying other people's i deas, me cha nically, using some one e lse's old way s. To change t his pre dicame nt, requires us to break the s ha ckles of traditi onal conce pts to overcome conservative, conformist, good at findi ng ne w problems a nd t o accept new thi ngs, s ummarize new experie nce, new i deas, developing new programmes and Maveri ck, a ne w approa ch to solve probl ems, s pee d up devel opment . Especially i n impleme nt superior poli cy s pirit of proces s in the, both impl ementation, and ca nnot mechani cally, t o to extraordi nary of courage a nd develop enter prisi ng of s pirit, put flexibility a nd principl e com bine d up, put superi or of spirit a nd l ocal real ity com bine d up, Yong conspira cy t o breakthrough of poli cy, a nd exerci se innovation of lift, develope d out development w orks of, and gras s-r oots wel come s of

difficult, not hati ng; bl uepri nts, not rhetoric; wor ds and sim ple, but full of lov e, truth, pas sion, entre prene urial passi on. Take this opport unity, my ins pirational quotes Li Daz hao' s clas sic "iron s pecia lise i n uplifting ble nd w ith the article" gave everyone, wit h a view on how to do well under the new situati on of towns hip a nd v illage leaders inspire a nd hel p, and als o sh are with y ou. A g ood play to create iron shoul ders strong arms , to as sume the bur den be passe d; only s pe cific qualities, will it be possi ble in specific area s to cre ate a worl d. In my view, village chiefs i n the new s ituation, we must first have five basic quality. One am bition is to pioneer. "Who is handsome ." People only hig h-mi nde d ca n stimulate t he flow of momentum to become brave a nd persiste nt, be come quiet a nd pow erful. Townshi p and village party "leaders", wit hin their respective j uris dicti ons, political stabil ity and economi c and s ocial devel opment i ssues, decis ions and ori entation de pends t o a large extent beca use of your. Every body in village chiefs a nd the positions, both t he trust of the masses, t he Orga nization's trust , more abil ity to you, ful ly affirmed the moral and other qualiti es. Therefore, we must always maintain t he hist orical mis sion and social res ponsi bility, a nd our i deal tree roote d in the hard w ork of the s oil, wit h indomitabl e spirit, i ndomitable courage to open up a new situati on of villages and tow ns. To have a feeli ng of cl ose ness t o the se cond. "T he pe opl e and countr y." Our bus ines s foundati on in t he pe opl e's bl ood in the pe ople pow er pe ople . Advanced deci sions of t he party ca dres to the feelings of the pe ople i s an eter nal theme. Fa n Zhong-ya n, call ed "first, and e njoy comfort about ot hers", Zheng Banqiao' s also wr ote a "Ya Chai lay liste ning to t he rustli ng of bamboo, t he s uspect is suffering. Ca o County officials, little my, a total t urn off. "Old of feuda l official even ha s so feeli ngs, al one w e is to" servi ng "for purpose s of pe ople servant does? we m ore shoul d always hold with on pe opl e of dee p feeling s, heart D epartment mas ses of leading visite d tea, care mas ses of emoti ons thoughts compl aine d, always i nsiste d put mas ses of intere sts put in first, cons ciously from itself do up, from small do up, from mass es most care, and most directly, and most reality of interests problem grabbe d, real do love for people by D epartment, a nd rig ht for pe ople by with, a nd Lee for pe opl e by conspira cy to. Thre e with the fame of mind. "Non -indifferent not insist your dream, wit hout serenity not go far." As cension to fame is morality, i s the s ublimati on of the soul. As Township and village, be s ure to maintai n a normal state of mind, e stablis h a correct view poi nt on power, positi on a nd val ues a nd Outlook, as fame is light l ike water, depe ndi ng ... 5 0 km, also re d and like hundreds of thousa nds of the KMT military com bat, but he we nt on t o collect a variety of new spapers and magazine s, a nd the n race agai nst time to pore over. As long as the study of mind, it is not nece ssary to come to the library, works hops, i nto the village s, pe opl e learne d farming techniques, problem -s olving met hods, parti cipati on i n

当 m ? 2 时, g '( x) ? x 2 ? 2 x 在 (?1, 2) 上只有一个零点 x ? 0 ,可判断 f ( x ) 函数在 (?1, 0) 上单调递增,在 (0, 2) 上单调递减,又 g (?1) ? g (2) ? 0 ,所以 g ( x) 在 (?1, 2) 上没有零点, 即线段 MP 与曲线 f ( x ) 没有异于 M,P 的公共点。 当 m ? ? 2,3? 时, g (0) ? ?

m 2 ? 4m ? 0 . g (2) ? ?(m ? 2)2 ? 0 3

所以存在 m ? ? 0,2? 使得 g (? ) ? 0 即当 m ? ? 2,3?时, MP 与曲线 f ( x ) 有异于 M,P 的公共点 综上,t 的最小值为 2. (2)类似(1)于中的观察,可得 m 的取值范围为 ?1,3? 解法二: (1)同解法一. (2)由 a ? ?1 得 f ( x) ? ?

1 3 x ? x 2 ? 3x ,令 f '( x) ? x2 ? 2x ? 3 ? 0 ,得 x1 ? ?1, x2 ? 3 3

由(1)得的 f ( x ) 单调增区间为 (??, ?1) 和 (3, ??) ,单调减区间为 (?1,3) ,所以函数在处 取得极值。故 M( ?1,

5 ).N( 3, ?9 ) 3
m2 ? 4m ? 5 m2 ? 4m x? . 3 3

(Ⅰ) 直线 MP 的方程为 y ?

? m 2 ? 4m ? 5 m 2 ? 4m y ? x ? ? ? 3 3 由? ? y ? 1 x3 ? x 2 ? 3x ? 3 ?

得 x3 ? 3x2 ? (m2 ? 4m ? 4) x ? m2 ? 4m ? 0 线段 MP 与曲线 f ( x) 有异于 M,P 的公共点等价于上述方程在(-1,m)上有根,即函数
g ( x) ? x3 ? 3x2 ? (m2 ? 4m ? 4) x ? m2 ? 4m在(-1,m) 上有零点.

因为函数 g ( x) 为三次函数,所以 g ( x) 至多有三个零点,两个极值点. 又 g (?1) ? g (m) ? 0 .因此, g ( x) 在 (?1, m) 上有零点等价于 g ( x) 在 (?1, m) 内恰有一个极大值 点和一个极小值点,即 g '( x) ? 3x2 ? 6x ? (m2 ? 4m ? 4) ? 0在(1, m) 内有两不相等的实数根.
??=36 ? 12 (m2 ? 4m ? 4)>0 ? 2 2 ?3(?1) ? 6 ? (m ? 4m ? 4) ? 0 等价于 ? 2 2 ?3m ? 6m ? (m ? 4m ? 4) ? 0 ?m ? 1 ?
??1 ? m ? 5 ? 即 ?m ? 2或m ? ?1, 解得2 ? m ? 5 ?m ? 1 ?

confere nces, lear ned superior s poli cie s; reports, you ca n lear n to dea l with pr obl ems, art, just wante d to lear n, to lear n at any time. T o continuously expand t he s cope of the st udy. T he complexity a nd compre hensiveness of our w ork, de cided to not only do we wa nt to be "pr ofessi onal s", or if "generalists", to dabble in different areas of knowledge . Mastery of knowl edge not only to hav e knowledge t o rational analy sis. T his on requireme nts we, not only to lear ning national of rout e, and approa ch, a nd poli cy, als o to learning nati onal of legal, and regulati ons; not only to with politi cal the ory armed mind, als o to wit h economic t he ory gui de work ; not only t o read history, al so to re ad hi story; not only to a bsor ption SM of mirror, als o to gets i s of roa d; not only to from loca l learn, al so to t o outside l earn; not only to t o books lear n, als o to field study le arn. 状 运 停 于 处 备 设 械 机 部 全 内 , 前 在 。 新 重 后 修 检 或 次 初 的 统 系 区 氨 硝 脱 为 动 启 态 冷

Therefore, I would e ncour age you, and more to the out side w orld w he n I have time to take a l ook at, take a stroll, outsi de

developments , learn other people's development a ppr oach, and the n come back t o gui de our work. Se cond, w e must thi nk. "Lear ning wit hout thought to overs hadow, thi nking wit hout learni ng is perilous." We want to foster the chara cter of adva nci ng with the times, forge ahead, often reflect themselves in a dapti ng to the new s ituation on whet her ther e are delay s, hav e anythi ng to fear in the reform and i nnovation, w hether i n terms of accelerati ng the development of a relaxati on, kee p pr omising State of mind. I n or der to do inve stigati ons, inv estigations is t he roa d to he aven, God dis pose s of the base. T o wa nts to real heard tr uth, a nd j ustice t o truth, a nd get tr uth, re ceived effectivene ss, on must i n-dept h actual, and outreach, and in -de pth mas ses, w ors hip mas ses for Divi sion, and masse s heart, wit h masse s with discus sion everyone car e of problem, liste ning t hey of call s, understand they of mood, feel they of s uffering, summary they of experie nce, conce ntrated t hey of wis dom, espe cially on masse s most hope, and most urge nt, and most w orries, a nd m ost complai ned of hot, a nd difficulties a nd focus pro blem, more to a ctive res earch, ca ught not put. Dare to i nnovate, in our w ork, often remai n "the ol d way does n't work, t he ne w approa ch w oul d not" sit uation, the rea s on, the key is that many people know that copying ot her pe opl e's ideas, mecha nically, usi ng some one el se's old way s. To cha nge thi s pre dicame nt, requires us to br eak the s hack les of traditi onal conce pts to overcome cons ervative, conformist, g ood at findi ng new problems and to a cce pt new t hi ngs, s ummarize ne w experie nce , new i deas , devel opi ng new programmes a nd Maverick, a new a ppr oach to s olve pr oblems , spe ed up dev elopment. Es pe cially in impl ement s uperi or policy s pirit of pr oce ss in t he, both impleme ntation, and ca nnot mechani call y, to to extraordi nary of courage a nd develop enter prisi ng of spirit, put flexibility a nd principle combi ne d up, put s uperior of s pirit and local reality

combi ned up, Yong cons piracy to breakthr oug h of policy, a nd exer cise i nnovation of lift, devel ope d out devel opme nt works of, and gra ss-r oot s welcomes of

第 11 页 共 13 页

difficult, not hati ng; bl uepri nts, not rhetoric; wor ds and sim ple, but full of lov e, truth, pas sion, entre prene urial passi on. Take this opport unity, my ins pirational quotes Li Daz hao' s clas sic "iron s pecia lise i n uplifting ble nd w ith the article" gave everyone, wit h a view on how to do well under the new situati on of towns hip a nd v illag e leaders inspire a nd hel p, and als o share with y ou. A g ood play to create iron shoul ders strong arms , to as sume the bur den be passe d; only s pe cific qualities, will it be possi ble in specific area s to cre ate a worl d. In my view, village chiefs i n the new s ituation, we must first have five basic quality. One am bition is to pioneer. "Who is handsome ." People only hig h-mi nde d ca n stimulate t he flow of momentum to become brave a nd persiste nt, be come quiet a nd pow erful. Townshi p and village party "leaders", wit hin their respective j uris dicti ons, political stabil ity and economi c and s ocial devel opment i ssues, decis ions and ori entat ion de pends t o a large extent beca use of your. Every body in village chiefs a nd the positions, both t he trust of the masses, t he Orga nization's trust , more abil ity to you, ful ly affirmed the moral and other qualiti es. Therefore, we must always maintain t he hist orical mis sion and social res ponsi bility, a nd our i deal tree roote d in the hard w ork of the s oil, wit h indomitabl e spirit, i ndomitable courage to open up a new situati on of villages and tow ns. To have a feeli ng of cl ose ness t o the se cond. "T he pe opl e and countr y." Our bus ines s foundati on in t he pe opl e's bl ood in the pe ople pow er pe ople . Advanced deci sions of t he party ca dres to the feelings of the pe ople i s an eter nal theme. Fa n Zhong-ya n, call ed "first, and e njoy comfort about ot hers", Zheng Banqiao' s also wr ote a "Ya Chai lay liste ning to t he rustli ng of bamboo, t he s uspect is suffering. Ca o County officials, little my, a tota l t urn off. "Old of feuda l official even ha s so feeli ngs, al one w e is to" servi ng "for purpose s of pe ople servant does? we m ore shoul d always hold with on pe opl e of dee p feeling s, heart D epartment mas ses of leading visite d tea, care mas ses of emoti ons thoughts compl aine d, always i nsiste d put mas ses of intere sts put in first, cons ciously from itself do up, from small do up, from mass es most care, and most directly, and most reality of interests problem grabbe d, real do love for people by D epartment, a nd rig ht for pe ople by with, a nd Lee for pe opl e by conspira cy to. Thre e with the fame of mind. "Non -indifferent not insist your dream, wit hout serenity not go far." As cension to fame is morality, i s the s ublimati on of the soul. As Township and village, be s ure to maintai n a normal state of mind, e stablis h a correct view poi nt on power, positi on a nd val ues a nd Outlook, as fame is light l ike water, depe ndi ng ... 5 0 km, also re d and like hundreds of thousa nds of the KMT military com bat, but he we nt on t o collect a v ariety of new spapers and magazine s, and the n race agai nst time to pore over. As long as the study of mind, it is not nece ssar y to come to the library, works hops, i nto the village s, pe opl e learne d farming techniques, problem -s olving met hods, parti cipati on i n

又因为 ?1 ? m ? 3 ,所以 m 的取值范围为(2,3) 从而满足题设条件的 r 的最小值为 2. 21、本题(1) 、 (2) 、 (3)三个选答题,每小题 7 分,请考生任选 2 题作答,满分 14 分,如 果多做,则按所做的前两题计分。作答时,先用 2B 铅笔在答题卡上把所选题目对应的题号 涂黑,并将所选题号填入括号中, (1) (本小题满分 7 分)选修 4-4:矩阵与变换 已知矩阵 M ? 的坐标 (2) (本小题满分 7 分)选修 4-4:坐标系与参数方程 已知直线 l:3x+4y-12=0 与圆 C: ?

? 2 ?3 ? ? 所对应的线性变换把点 A(x,y)变成点 A ‘(13,5),试求 M 的逆矩阵及点 A ? 1 ?1 ?

? x ? ?1 ? 2cos? ? y ? 2 ? 2sin ?

( ? 为参数 )试判断他们的公共点个数

(3) (本小题满分 7 分)选修 4-5:不等式选讲 解不等式∣2x-1∣<∣x∣+1 21. (1)解:依题意得
?2 由M ?? ?1 ?2 从而由 ? ?1 ? 3? ? ?1 ?1 ? , 得 M ? 1 ,故 M ? ? ? 1? ? ?1 ? 3 ?? x ? ?13 ? ? x ? ? ?1 ?? ? ? ? ? 得 ? ? ? ? ? 1 ?? y ? ? 5 ? ? y ? ? ?1 3? ?, 2? 3 ??13 ? ? ?1 ? 13 ? 3 ? 5 ? ? 2 ? ?? ? ? ? ??? ? 2 ?? 5 ? ? ?1 ? 13 ? 2 ? 5 ? ? ?3 ?

? x ? 2, 即A(2, ?3) 为所求. 故? ? y ? ?3,

(2)解:圆的方程可化为 ( x ? 1)2 ? ( y ? 2)2 ? 4 . 其圆心为 C (?1, 2) ,半径为 2. (3)解:当 x<0 时,原不等式可化为 ?2 x ? 1 ? ? x ? 1, 解得x ? 0 又 x ? 0,? x 不存在; 当0? x ?

1 时,原不等式可化为 ?2 x ? 1 ? x ? 1, 解得x ? 0 2

1 1 又 0 ? x ? ,?0 ? x ? ; 2 2 1 1 当 x ? ,? ? x ? 2 2 2
综上,原不等式的解集为 x | 0 ? x ? 2 .

confere nces , learne d s uperi ors polici es; re ports, y ou can lear n to deal with problems, art, j ust wante d to lear n, to lear n at any time. To continuously expand the s cope of the study. T he complexity and comprehensiv enes s of our work, deci de d to not only do w e want to be "profess ionals", or if "generalists", to dabble in different areas of knowle dge. Mastery of knowl edge not only to have k now ledge to rati onal a nalysis . Thi s on requirements we , not only to l earni ng national of route, a nd a pproa ch, and policy, als o to learning nati onal of legal, and regulati ons; not only to with politi cal the or y armed mind, al so t o w ith economic t heory g uide w ork; not only to read histor y, als o to rea d hist ory; not only t o absorpti on SM of mirror, als o to gets i s of road; not only t o from local le arn, al so to t o out side le arn; not only to to books lear n, als o to field study le arn. 状 运 停 于 处 备 设 械 机 部 全 内 , 前 在 。 新 重 后 修 检 或 次 初 的 统 系 区 氨 硝 脱 为 动 启 态 冷

Therefore, I woul d encourage you, and more to t he outside worl d whe n I have time to take a look at, take a stroll, outsi de dev elopments,

learn other pe ople' s devel opme nt appr oach, a nd then come ba ck to gui de our work . Second, we must t hink. "Learni ng without thoug ht to overs hadow, t hinki ng without lear ning is peril ous." We want to foster the character of advancing wit h the times, f orge a head, often reflect themselves i n ada pting to the new s ituation on whet her ther e are delays , have anyt hing to fear in t he reform and innovation, whether i n terms of accelerating the devel opme nt of a relaxation, kee p pr omising State of mind. In order t o do i nvestigations, inve stigations is the r oad to heaven, God di sposes of the ba se . To wa nts to real heard trut h, and justi ce to tr uth, a nd get truth, receive d effectivene ss, on must i n-dept h act ual, and outreach, and in -de pth mas ses, w orshi p masse s for Divisi on, a nd mas ses heart, with mas ses wit h dis cussi on every one care of problem, liste ning t hey of calls , understa nd they of mood, feel they of suffering, summary they of experi ence, concentrated t hey of wis dom, e spe cially on masse s most hope, and most urgent, and most w orries, a nd m ost complai ned of hot, a nd difficulties a nd focus problem, more to active rese arch, caug ht not put. Dare to i nnovate, in our work , often remai n "the ol d way doesn't w ork, the new a ppr oach would not" situati on, t he reas on, t he key is that ma ny pe ople k now t hat copying other people's i deas, me cha nically, using some one e lse's old way s. To change t his pre dicame nt, requires us to break the s ha ckles of traditi onal conce pts to overcome conservative, conformist, good at findi ng ne w problems a nd t o accept new thi ngs, s ummarize new experie nce, new i deas, developing new programmes and Maveri ck, a ne w approa ch to solve probl ems, s pee d up devel opment . Especially i n impleme nt superior poli cy s pirit of proces s in the, both impl ementation, and ca nnot mechani cally, t o to extraordi nary of courage a nd develop enter prisi ng of s pirit, put flexibility a nd principl e com bine d up, put superi or of spirit a nd l ocal real ity com bine d up, Yong conspira cy t o breakthrough of poli cy, a nd exerci se innovation of lift, develope d out development w orks of, and gras s-r oots wel come s of

difficult, not hati ng; bl uepri nts, not rhetoric; wor ds and sim ple, but full of lov e, truth, pas sion, entre prene urial passi on. Take this opport unity, my ins pirational quotes Li Daz hao' s clas sic "iron s pecia lise i n uplifting ble nd w ith the article" gave everyone, wit h a view on how to do well under the new situati on of towns hip a nd v illage leaders inspire a nd hel p, and als o sh are with y ou. A g ood play to create iron shoul ders strong arms , to as sume the bur den be passe d; only s pe cific qualities, will it be possi ble in specific area s to cre ate a worl d. In my view, village chiefs i n the new s ituation, we must first have five basic quality. One am bition is to pioneer. "Who is handsome ." People only hig h-mi nde d ca n stimulate t he flow of momentum to become brave a nd persiste nt, be come quiet a nd pow erful. Townshi p and village party "leaders", wit hin their respective j uris dicti ons, political stabil ity and economi c and s ocial devel opment i ssues, decis ions and ori entation de pends t o a large extent beca use of your. Every body in village chiefs a nd the positions, both t he trust of the masses, t he Orga nization's trust , more abil ity to you, ful ly affirmed the moral and other qualiti es. Therefore, we must always maintain t he hist orical mis sion and social res ponsi bility, a nd our i deal tree roote d in the hard w ork of the s oil, wit h indomitabl e spirit, i ndomitable courage to open up a new situati on of villages and tow ns. To have a feeli ng of cl ose ness t o the se cond. "T he pe opl e and countr y." Our bus ines s foundati on in t he pe opl e's bl ood in the pe ople pow er pe ople . Advanced deci sions of t he party ca dres to the feelings of the pe ople i s an eter nal theme. Fa n Zhong-ya n, call ed "first, and e njoy comfort about ot hers", Zheng Banqiao' s also wr ote a "Ya Chai lay liste ning to t he rustli ng of bamboo, t he s uspect is suffering. Ca o County officials, little my, a total t urn off. "Old of feuda l official even ha s so feeli ngs, al one w e is to" servi ng "for purpose s of pe ople servant does? we m ore shoul d always hold with on pe opl e of dee p feeling s, heart D epartment mas ses of leading visite d tea, care mas ses of emoti ons thoughts compl aine d, always i nsiste d put mas ses of intere sts put in first, cons ciously from itself do up, from small do up, from mass es most care, and most directly, and most reality of interests problem grabbe d, real do love for people by D epartment, a nd rig ht for pe ople by with, a nd Lee for pe opl e by conspira cy to. Thre e with the fame of mind. "Non -indifferent not insist your dream, wit hout serenity not go far." As cension to fame is morality, i s the s ublimati on of the soul. As Township and village, be s ure to maintai n a normal state of mind, e stablis h a correct view poi nt on power, positi on a nd val ues a nd Outlook, as fame is light l ike water, depe ndi ng ... 5 0 km, also re d and like hundreds of thousa nds of the KMT military com bat, but he we nt on t o collect a variety of new spapers and magazine s, a nd the n race agai nst time to pore over. As long as the study of mind, it is not nece ssary to come to the library, works hops, i nto the village s, pe opl e learne d farming techniques, problem -s olving met hods, parti cipati on i n

confere nces, lear ned superior s poli cie s; reports, you ca n lear n to dea l with pr obl ems, art, just wante d to lear n, to lear n at any time. T o continuously expand t he s cope of the st udy. T he complexity a nd compre hensiveness of our w ork, de cided to not only do we wa nt to be "pr ofessi onal s", or if "generalists", to dabble in different areas of knowledge . Mastery of knowl edge not only to hav e knowledge t o rational analy sis. T his on requireme nts we, not only to lear ning national of rout e, and approa ch, a nd poli cy, als o to learning nati onal of legal, and regulati ons; not only to with politi cal the ory armed mind, als o to wit h economic t he ory gui de work ; not only t o read history, al so to re ad hi story; not only to a bsor ption SM of mirror, als o to gets i s of roa d; not only to from loca l learn, al so to t o outside l earn; not only to t o books lear n, als o to field study le arn. 状 运 停 于 处 备 设 械 机 部 全 内 , 前 在 。 新 重 后 修 检 或 次 初 的 统 系 区 氨 硝 脱 为 动 启 态 冷

Therefore, I would e ncour age you, and more to the out side w orld w he n I have time to take a l ook at, take a stroll, outsi de

developments , learn other people's development a ppr oach, and the n come back t o gui de our work. Se cond, w e must thi nk. "Lear ning wit hout thought to overs hadow, thi nking wit hout learni ng is perilous." We want to foster the chara cter of adva nci ng with the times, forge ahead, often reflect themselves in a dapti ng to the new s ituation on whet her ther e are delay s, hav e anythi ng to fear in the reform and i nnovation, w hether i n terms of accelerati ng the development of a relaxati on, kee p pr omising State of mind. I n or der to do inve stigati ons, inv estigations is t he roa d to he aven, God dis pose s of the base. T o wa nts to real heard tr uth, a nd j ustice t o truth, a nd get tr uth, re ceived effectivene ss, on must i n-dept h actual, and outreach, and in -de pth mas ses, w ors hip mas ses for Divi sion, and masse s heart, wit h masse s with discus sion everyone car e of problem, liste ning t hey of call s, understand they of mood, feel they of s uffering, summary they of experie nce, conce ntrated t hey of wis dom, espe cially on masse s most hope, and most urge nt, and most w orries, a nd m ost complai ned of hot, a nd difficulties a nd focus pro blem, more to a ctive res earch, ca ught not put. Dare to i nnovate, in our w ork, often remai n "the ol d way does n't work, t he ne w approa ch w oul d not" sit uation, the rea s on, the key is that many people know that copying ot her pe opl e's ideas, mecha nically, usi ng some one el se's old way s. To cha nge thi s pre dicame nt, requires us to br eak the s hack les of traditi onal conce pts to overcome cons ervative, conformist, g ood at findi ng new problems and to a cce pt new t hi ngs, s ummarize ne w experie nce , new i deas , devel opi ng new programmes a nd Maverick, a new a ppr oach to s olve pr oblems , spe ed up dev elopment. Es pe cially in impl ement s uperi or policy s pirit of pr oce ss in t he, both impleme ntation, and ca nnot mechani call y, to to extraordi nary of courage a nd develop enter prisi ng of spirit, put flexibility a nd principle combi ne d up, put s uperior of s pirit and local reality

combi ned up, Yong cons piracy to breakthr oug h of policy, a nd exer cise i nnovation of lift, devel ope d out devel opme nt works of, and gra ss-r oot s welcomes of

第 13 页 共 13 页


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