南京市2014届高三年级第三次模拟考试数学试题(解析版)

发布于:2021-11-27 22:32:54

positi on-related cons umption of civil serva nts has been swe pt by fina nce, consumer, regardle ss of cost, extravagance a nd waste i n the civil service position-rel ated consumpti on, abuse, corr upti on a nd embez zlement, corr upti on i s important. T hen, under t he conditions of market econom y, how to reform the existi ng civil duty cons umption manageme nt, expl ores a source t o preve nt and curb the post cons umption corruption way, is currently a major i ssue faced by honest w ork. Recently, I conducted research on this is sue , this problem on s ome humble opini ons . First, t he existing public servants ' duty cons umption the main probl ems se en from the investigati on a nd rea sons, i n recent years , publi c serva nts ' duty consumpti on caused by the abuses and not a person of i ntegrity, is one of the major problems i n the part y in Gover nment, it s operation or der have a negativ e effect on t he party and Gov ernment organs , seri ously damagi ng the image of the party and the G overnment, undermini ng the relations hip betwee n party a nd the mas ses, effect, openi ng up and e conomi c constructi on. From I County i n rece nt years of gover nance sit uation see , positions consumpti on i n the produced of "two not" phenomenon re nderi ng four a feature s: a is positions cons umpti on system l ost ha s due of bi ndi ng, right is greater t han r ules, a nd rig ht is g reater tha n method of phe nom enon more hig hlight; II is i n positions consum ption in the Camera Obs cura operation, using terms, will positi ons cons umption into has pers onal consum ption, will corporate points to into pers onal poi nts to, makes positi ons cons um ption in some as pe cts ha s into positions enjoy and self-deali ng of means; thre e is to positions consumpti on for name, fraud, false im pers onator, Trend of negative corruption phenomena such as corr upti on a nd misa ppr opriati on; four pala ces, foll ow the fashi on, rivalrie s, wasteful, a nd post cons umption be came a symbol of s howi ng off their individual capa cities . Caused by public servants ' duty consumpti on of many "two" phe nome non in w hich people reflect the biggest probl ems are: (a) the official car pr oblems . Mai nly in thre e as pects : one is the larger buses cost expenditure. A ccor ding to statistics, until November 2003 , XX County tow ns hip D epartment bus 1 59 cars , whi ch department owns the bus 1 45 vehi cles, a nd showed a n increasing tre nd. F ina ncial ex penses cost per bus per year to 3 5,000 y uan, a nd i n fact every cost up t o 50,00 0 yua n. Some units al so hiri ng temporary driv ers and expe nditure on wage s and subsi dies. Nece ssary to "kee p a car", but also "depe nda nts", leadi ng to larger expe nses . Second, gong che siyong breed unhealthy tende ncie s. Some people beli eve that now s ome bus drivers use one -thir d, one-t hird lea ding private one -thir d use d for official purposes . Some publi c serva nts, es pecia lly leadi ng officials mot oring, cars for private purposes , violating t he self-dis cipli ne regulati ons, and even lea d to traffic acci dent s. Accordi ng to statisti cs from related de partments , since 200 4, the corre ct investigation in our County serves nearly 30 cars for private purpose s, only the first half of this yea r, cars for pr ivate pur poses or

南京市 2014 届高三年级第三次模拟考试


指定位置上)



2014.05

一、填空题(本大题共 14 小题,每小题 5 分,计 70 分. 不需写出解答过程,请把答案写在答题纸的

1.已知全集 U=R,集合 A={x|x≤-2,x∈R},B={x|x<1,x∈R},则(?UA)∩B= (-2,1) 2 2.已知(1+ )2=a+bi(a,b∈R,i 为虚数单位),则 a+b= i .-7



3.某地区对两所高中学校进行学生体质状况抽测,甲校有学生 800 人,乙校有学生 500 人,现用分 层抽样的方法在这 1300 名学生中抽取一个样本.已知在甲校抽取了 48 人,则在乙校应抽取学生 人数为 .30

4.现有红心 1,2,3 和黑桃 4,5 共五张牌,从这五张牌中随机取 2 张牌,则所取 2 张牌均为红心 的概率为 3 . 10 .11 S←1 I←3 While S≤200 S←S×I I←I+2 End While Print I
(第 5 题图)

5.执行右边的伪代码,输出的结果是

6.已知抛物线 y2=2px 过点 M(2,2),则点 M 到抛物线焦点的距离为 π 7.已知 tanα=-2, ,且 <α<π,则 cosα+sinα= 2 . 5 5

5 .2

8.已知 m,n 是不重合的两条直线,α,β 是不重合的两个*面.下列命题: ①若 α⊥β,m⊥α,则 m∥β; ③若 m∥α,m⊥n,则 n⊥α; 其中所有真命题的序号是 ②若 m⊥α,m⊥β,则 α∥β; ④若 m∥α,m?β,则 α∥β. .②

π π 9.将函数 f(x)=sin(3x+ )的图象向右*移 个单位长度,得到函数 y=g(x)的图象,则函数 y=g(x) 4 3 π 2π 在[ , ]上的最小值为 3 3 2 .- 2

leaders drivi ng a vehi cle a cci dent caused by r oad a cci dents , 1, 1 people kille d and dire ct economic losse s amounting to m ore than 100,0 00 yua n. T hird, high efficie ncy a nd l ow cost of the bus . Surveys show that, the operating costs of taxis for the 8200 /.. . Is a fundame ntal priority of the reform, it is a difficult pr obl em that must be solve d in the reform process . Clearl y, the post consum ption av erages three year s before as a bas e and fine-t une d on the basis of this si ngle pra ctice s must be improve d. Impr ovements to a dhere to thre e principl es: first, under the ex isting poli cy pr ovisions a ppr oved for public servants ' duty consumpti on sta ndar ds, calibrat i on, i s not contrary to policy. Second, accor ding to t he local fina ncial situation and people's s ustainabilit y, publi c serva nts ' duty consum ption standards a ppr oved, bot h financial reach, a nd people pa ssing t hrough. T hird, a ccordi ng to the operational needs of civil s ervants res ponsi ble for a uthori zed public s ervants ' duty cons umption sta ndards, both high a nd low positions, but al so the nature of the work a nd t he workl oad. 。 动 活 的 常 正 行 进 对 收 验 量 质 施 各 和 纸 图 计 据 根 度 制 作 关 有 司 公 及 则 细 划 ”、 范 规 “设 按 格 严 后 场 现 入 驻 目 项 了 建 组 即 随 , 起 同 合 理 监 立 订 自 程 工 本

In reform of

method S hang, appr oved civil serva nts positi ons cons umption standard t o "big unified, a nd small dis perse d" suita ble, that most positions consumpti on proje ct s hould a ccording t o policy provide s pr oposed unifie d standard, consi der to rank s, and units and the work task of differences sex, unified of standar d shoul d ha s elasti c of and dy namic of, makes regions, a nd units i n impleme ntation unified standard S hi ha s must of flexible dis posal right; but si nce set of sta ndar d must after financial, a nd a udit, sect or audit appr oved H ou t o impleme ntation. (C) reform package. Pub lic s ervants ' duty consumpti on e lasticity of consum ption t o limit cons umption, tur ning mes s into kit che n after dinner, follow t he civ il servant with a how to use pers onal title subsidies, or how to manage a pers onal duty consum ption us e of subsi dies. T herefore, w e must esta blis h and perfect wit h publi c serva nts ' duty cons umpti on monetizati on reform support of the series of governa nce systems s uch as the civil s ervice examination of responsibil ity, system, l ow fault investigati on system, t he report sai d. While other measures to kee p up. Discipli ne inspe ction and supervisi on organs, financial, auditing departme nts shoul d strengt hen s upervision and inspe ction of publi c servants ' duty consumpti on monetization reform progre ss, to stre ngthe n the reform of publi c servants ' duty consumpti on monetizati on system, meas ures to develop and monit or the impleme ntation of ins pecti on, not consumpti on a s required, eve n shifting consumer behavi or to stop, seri ous cas es to deal with. T hree i deas, public s ervants ' duty co ns umption moneti zation reform of politics, the e conomy and the dee peni ng of the reform, public servants ' duty cons umption as s omew here betwe en a reform als o demonstrated its importance and urge ncy. First of all, civ il servant s especially party and Gover nm ent leaders and publi c servant s ' duty consumpti on there are big dra wba cks. NPC deputies a nd CPPCC member s and the br oad mass es are concerne d about. Se condly, the

positi on-related cons umption of civil serva nts has been swe pt by fina nce, consumer, regardle ss of cost, extravagance a nd waste i n the civil service position-rel ated consumpti on, abuse, corr upti on a nd embez zlement, corr upti on i s important. T hen, under t he conditions of market economy, how to reform the existi ng civil duty cons umption manageme nt, expl ores a source t o preve nt and curb the post cons umption corruption way, is currently a major i ssue faced by honest w ork. Recently, I conducted research on this is sue , this problem on s ome humble opini ons . First, t he existing public servants ' duty cons umption the main probl ems se en from the investigati on a nd rea sons, i n recent years , publi c serva nts ' duty consumpti on caused by the abuses and not a person of i ntegrity, is one of the major problems i n the party in Gover nment, it s operation or der have a negativ e effect on t he party and Gov ernment organs , seri ously damagi ng the image of the party and the G overnment, undermini ng the relations hip betwee n party a nd the mas ses, effect, openi ng up and e conomi c constructi on. From I County i n rece nt years of gover nance sit uation see , positions consumpti on i n the produced of "two not" p henomenon re nderi ng four a feature s: a is positions cons umpti on system l ost ha s due of bi ndi ng, right is greater t han r ules, a nd rig ht is greater tha n method of phe nom enon more hig hlight; II is i n positions consum ption in the Camera Obs cura operation, using terms, will positi ons cons umption into has pers onal consum ption, will corporate p oints to into pers onal poi nts to, makes positi ons cons umption in some as pe cts ha s into positions enjoy and self -deali ng of means; thre e is to positions consumpti on for name, fraud, false im pers onator, Trend of negative corruption phenomena such as corr upti on a nd misa ppr opriati on; four pala ces, foll ow the fashi on, rivalrie s, wasteful, a nd post cons umption be came a symbol of s howi ng off their individual capa cities . Caused by public servants ' duty consumpti on of many "two" phe nome non in w hich people reflect th e biggest probl ems are: (a) the official car pr oblems . Mai nly in thre e as pects : one is the larger buses cost expenditure. A ccor ding to statistics, until November 2003 , XX County tow ns hip D epartment bus 1 59 cars , whi ch department owns the bus 1 45 vehi cles, a nd showed a n increasing tre nd. F ina ncial ex penses cost per bus per year to 3 5,000 y uan, a nd i n fact every cost up t o 50,00 0 yua n. Some units al so hiri ng temporary driv ers and expe nditure on wage s and subsi dies. Nece ssary to "kee p a car", but also "depe nda nts", leadi ng to larger expe nses . Second, gong che siyong breed unhealthy tende ncie s. Some people beli eve that now s ome bus drivers use one -thir d, one-t hird lea ding private one -thir d use d for official purposes . Some publi c serva nts, es pecia lly leadi ng officials m ot oring, cars for private purposes , violating t he self-dis cipli ne regulati ons, and even lea d to traffic acci dent s. Accordi ng to statisti cs from related de partments , since 200 4, the corre ct investigation in our County serves nearly 30 cars for private purpose s, only the first half of this yea r, cars for private pur poses or

10.已知数列{an}满足 an=an-1-an-2(n≥3,n∈N*),它的前 n 项和为 Sn.若 S9=6,S10=5,则 a1 的值为 .1 .

?x,x≥0, 11.已知函数 f (x)=? 2 ,则关于 x 的不等式 f(x2)>f(3-2x)的解集是 ?x ,x<0,

(-∞,-3)∪(1,3) → → 12.在 Rt△ABC 中,CA=CB=2,M,N 是斜边 AB 上的两个动点,且 MN= 2,则 CM · CN 的 取值范围为 3 .[ ,2] 2

13. 在*面直角坐标系 xOy 中, 圆 C 的方程为(x-1)2+y2=4, P 为圆 C 上一点. 若存在一个定圆 M, 过 P 作圆 M 的两条切线 PA,PB,切点分别为 A,B,当 P 在圆 C 上运动时,使得∠APB 恒为 60?,则圆 M 的方程为 .(x-1)2+y2=1 14.设二次函数 f(x)=ax2+bx+c(a,b,c 为常数)的导函数为 f′(x).对任意 x∈R,不等式 f(x)≥f′(x) b2 恒成立,则 2 2的最大值为 a +c .2 2-2

二、解答题(本大题共 6 小题,计 90 分.解答应写出必要的文字说明,证明过程或演算步骤,请把 答案写在答题纸的指定区域内) 15.(本小题满分 14 分) tanB 2c 在△ABC 中,角 A,B,C 所对的边分别为 a,b,c,且 +1= . tanA a (1)求 B; π 1 (2)若 cos(C+ )= ,求 sinA 的值. 6 3 tanB 2c sinBcosA 2sinC 解:(1)由 +1= 及正弦定理,得 +1= , tanA a cosBsinA sinA sinBcosA+cosBsinA 2sinC sin(A+B) 2sinC sinC 2sinC 所以 = ,即 = ,则 = . cosBsinA sinA cosBsinA sinA cosBsinA sinA 因为在△ABC 中,sinA≠0,sinC≠0, 1 所以 cosB= . 2 π 因为 B∈(0,π),所以 B= . 3 2π π π 5π (2)因为 0<C< ,所以 <C+ < . 3 6 6 6 π 1 π 2 2 因为 cos(C+ )= ,所以 sin(C+ )= . 6 3 6 3 π π π 所以 sinA=sin(B+C)=sin(C+ )=sin[(C+ )+ ] 3 6 6 π π π π =sin(C+ )cos +cos(C+ )sin 6 6 6 6

leaders drivi ng a vehi cle a cci dent ca use d by roa d accide nts, 1, 1 pe ople kill ed and dire ct economic losse s amounting to more t han 1 00,00 0 yua n. Thir d, hig h efficiency and l ow cost of the bus. Surveys show that, the operati ng costs of taxis for the 820 0/... Is a fundame ntal pri ority of the reform, it is a difficult problem that must be solved in t he reform process . Clearl y, the post consumpti on averages t hree years before as a ba se and fine -tuned on the basis of this si ngle pra ctices m ust be impr oved. Improveme nts to adhere to t hree pri nci ples: first, under the existing poli cy provi sions a pprove d for publi c servant s ' duty consumpti on sta ndar ds, calibrati on, is not contrary to poli cy. Se cond, a ccordi ng to the l ocal fina nci al situati on a nd people's s ustainabilit y, publi c servant s ' duty consumpti on sta ndar ds approve d, both fina ncial rea ch, a nd people pa ssi ng through. T hird, a ccordi ng to the operational needs of civil serva nts res ponsi ble for aut horize d publi c servant s ' duty consumpti on sta ndar ds, both high a nd low positions, but als o the nature of the w ork and the w orkloa d. 。 动 活 的 常 正 行 进 对 收 验 量 质 施 各 和 纸 图 计 据 根 度 制 作 关 有 司 公 及 则 细 划 ”、 范 规 “设 按 格 严 后 场 现 入 驻 目 项 了 建 组 即 随 , 起 同 合 理 监 立 订 自 程 工 本

In reform of

method S hang, a ppr oved civ il servant s positions consumpti on sta ndar d to "big unified, a nd small dispersed" s uitable , that most positi ons consum ption proj ect s hould a ccording t o poli cy pr ovides propos ed unified sta ndar d, consi der to rank s, and units and the w ork task of difference s sex, unified of standard shoul d has el astic of and dy namic of, makes regions, a nd units i n implementati on unified sta ndar d Shi has must of flexible dis pos al right; but si nce s et of standar d must after financial, a nd audit, se ctor a udit a pprove d Hou to impleme ntation. (C) reform package. Publi c serv a nts ' duty cons umption elasti city of cons umption to limit cons umption, tur ning mess i nto kitchen after di nne r, follow the ci v il servant wit h a how to use per sonal title subsi dies, or how to manage a personal duty cons umption use of subsi dies. T herefore, w e must establi sh a nd perfect with public s ervants ' duty consum ption m onetizati on reform s upport of the s eries of gover nance systems such as the civil s ervice examinati on of responsi bilit y, system, low fault i nvestigation system, the re port sai d. While other

measures to kee p up.

Discipli ne inspe ction and supervisi on organs, financial, auditing departme nts shoul d strengt hen s upervision and inspe ction of publi c servants ' duty consumpti on monetization reform progre ss, to stre ngthe n the reform of publi c servants ' duty consumpti on monetizati on system, meas ures to develop and monit or the impleme ntation of ins pecti on, not consumpti on a s required, eve n shifting consumer behavi or to stop, seri ous cas es to deal with. T hree i deas, public s ervants ' duty cons umptio n moneti zation reform of politics, the e conomy and the dee peni ng of the reform, public servants ' duty cons umption as s omewhere betwe en a reform als o demonstrated its importance and urge ncy. First of all, civ il servant s especially party and Gover nment lead ers and publi c servant s ' duty consumpti on there are big dra wba cks. NPC deputies a nd CPPCC member s and the br oad mass es are c oncerne d about. Se condly, the

2

positi on-related cons umption of civil serva nts has been swe pt by fina nce, consumer, regardle ss of cost, extravagance a nd waste i n the civil service position-rel ated consumpti on, abuse, corr upti on a nd embez zlement, corr upti on i s important. T hen, under t he conditions of market economy, how to reform the existi ng civil duty cons umption manageme nt, expl ores a source t o preve nt and curb the post cons umption corruption way, is currently a major i ssue faced by honest w ork. Recently, I conducted research on this is sue , this problem on s ome humble opini ons . First, t he existing public servants ' dut y cons umption the main probl ems se en from the investigati on a nd rea sons, i n recent years , publi c serva nts ' duty consumpti on caused by the abuses and not a person of i ntegrity, is one of the major problems i n the party in Gov er nment, it s operation or der have a negativ e effect on t he party and Gov ernment organs , seri ously damagi ng the image of the party and the G overnment, undermini ng the relations hip betwee n party a nd the mas ses, effect, openi ng up and e conomi c constructi on. From I County i n rece nt years of gover nance sit uation see , positions consumpti on i n the produced of "two not" p henomenon re nderi ng four a feature s: a is positions cons umpti on system l ost ha s due of bi ndi ng, right is greater t han r ules, a nd rig ht is greater tha n method of phe nom enon more hig hlight; II is i n positions consum ption in the Camera Obs cura operation, using terms, will p ositi ons cons umption into has pers onal consum ption, will corporate points to into pers onal poi nts to, makes positi ons cons umption in some as pe cts ha s into positions enjoy and self-deali ng of means; thre e is to positions consumpti on for name, fraud, false im pers onator, Trend of negative corruption phenomena such as corr upti on a nd misa ppr opriati on; four pala ces, foll ow the fashi on, rivalrie s, wasteful, a nd post cons umption be came a symbol of s howi ng off their individual capa cities . Caused by public servants ' duty consumpti on of many "two" phe nome non in w hich people reflect the biggest probl ems are: (a) the official car pr oblems . Mai nly in thre e as pects : one is the larger buses cost expenditure. A ccor ding to statistics, until November 2003 , XX County tow ns hip D epartment bus 1 59 cars , whi ch department owns the bus 1 45 vehi cles, a nd showed a n increasing tre nd. F ina ncial ex penses cost per bu s per year to 3 5,000 y uan, a nd i n fact every cost up t o 50,00 0 yua n. Some units al so hiri ng temporary driv ers and expe nditure on wage s and subsi dies. Nece ssary to "kee p a car", but also "depe nda nts", leadi ng to larger expe nses . Second, gong che siyong breed unhealthy tende ncie s. Some people beli eve that now s ome bus drivers use one -thir d, one-t hird lea ding private one -thir d use d for official purposes . Some publi c serva nts, es pecia lly leadi ng officials mot oring, cars for private purposes , violating t he self -dis cipli ne regulati ons, and even lea d to traffic acci dent s. Accordi ng to statisti cs from related de partments , since 200 4, the corre ct investigation in our County serves nearly 30 cars for private purpose s, only the first half of this yea r, cars for private pur poses or



2 6+1 . 6

16.(本小题满分 14 分) 如图,在四棱锥 P-ABCD 中,O 为 AC 与 BD 的交点,AB?*面 PAD,△PAD 是正三角形, DC//AB,DA=DC=2AB. (1)若点 E 为棱 PA 上一点,且 OE∥*面 PBC,求 (2)求证:*面 PBC?*面 PDC.
B O C (第 16 题图) D

AE 的值; PE

P

E A

证 (1)因为 OE∥*面 PBC,OE?*面 PAC,*面 PAC∩*面 PBC=PC,所以 OE∥PC, 所以 AO∶OC=AE∶EP. 因为 DC//AB,DC=2AB,所以 AO∶OC=AB∶DC=1∶2. AE 1 所以 = . PE 2 (2)法一:取 PC 的中点 F,连结 FB,FD. 因为△PAD 是正三角形,DA=DC,所以 DP=DC. 因为 F 为 PC 的中点,所以 DF⊥PC. 因为 AB?*面 PAD,所以 AB⊥PA,AB⊥AD,AB⊥PD. 因为 DC//AB,所以 DC⊥DP,DC⊥DA. 设 AB=a,在等腰直角三角形 PCD 中,DF=PF= 2a. 在 Rt△PAB 中,PB= 5a. 在直角梯形 ABCD 中,BD=BC= 5a. 因为 BC=PB= 5a,点 F 为 PC 的中点,所以 PC⊥FB. 在 Rt△PFB 中,FB= 3a. 在△FDB 中,由 DF= 2a,FB= 3a,BD= 5a,可知 DF2+FB2=BD2,所以 FB⊥DF. 由 DF⊥PC,DF⊥FB,PC∩FB=F,PC、FB?*面 PBC,所以 DF⊥*面 PBC. 又 DF?*面 PCD,所以*面 PBC?*面 PDC. 法二:取 PD,PC 的中点,分别为 M,F,连结 AM,FB,MF, 1 所以 MF∥DC,MF= DC. 2
leaders drivi ng a vehi cle a cci dent ca use d by roa d accide nts, 1, 1 pe ople kill ed and dire ct economic losse s amounting to more t han 1 00,00 0 yua n. Thir d, hig h efficiency and l ow cost of the bus. Surveys show that, the operati ng costs of taxis for the 820 0/ ... Is a fundame ntal pri ority of the reform, it is a difficult problem that must be solved in t he reform process . Clearl y, the post consumpti on averages t hree years before as a ba se and fine -tuned on the basis of this si ngle pra ctices m ust be impr oved. Improveme nts to adhere to t hree pri nci ples: first, under the ex isting poli cy provi sions a pprove d for publi c servant s ' duty consumpti on sta ndar ds, calibrati on, is not contrary to poli cy. Se cond, a ccordi ng to the l ocal fina nci al situati on a nd people's s ustainabilit y, publi c servant s ' duty consumpti on sta ndar ds approve d, both fina ncial rea ch, a nd people pa ssi ng through. T hird, a ccordi ng to the operational needs of civil serva nts res ponsi ble for aut horize d publi c servant s ' duty consumpti on sta ndar ds, both high a nd low positions, but als o the nature of the w ork and the w orkloa d. 。 动 活 的 常 正 行 进 对 收 验 量 质 施 各 和 纸 图 计 据 根 度 制 作 关 有 司 公 及 则 细 划 、 ” 范 规 设 “ 按 格 严 后 场 现 入 驻 目 项 了 建 组 即 随 , 起 同 合 理 监 立 订 自 程 工 本 In reform of method S hang, a ppr oved civ il servant s positions consumpti on sta ndar d to "big unified, a nd small dispersed" s uitable , that most positi ons consum ption proj ect s hould a ccording t o poli cy pr ovides propos ed unified sta ndar d, consi der to rank s, and units and the w ork task of difference s sex, unified of standard shoul d has el astic of and dy namic of, makes regions, a nd units i n implementati on unified sta ndar d Shi has must of flexible dis pos al right; but si nce s et of standar d must after financial, a nd audit, se ctor a udit a pprove d Hou to impleme ntation. (C) reform package. Publi c serva nts ' duty cons umption elasti city of cons umption to limit cons umption, tur ning mess i nto kitchen after di nne r, follow the civ il servant wit h a how to use per sonal title subsi dies, or how to manage a personal duty cons umption u se of subsi dies. T herefore, w e must establi sh a nd perfect with public s ervants ' duty consum ption m onetizati on reform s upport of the s eries of gover nance systems such as the civil s ervice examinati on of responsi bilit y, system, low fault i nvestigation system, the re port sai d. While other measures to kee p up. Discipli ne inspe ction and supervisi on organs, financial, auditing departme nts shoul d strengt hen s upervision and inspe ction of publi c servants ' duty consumpti on monetization reform progre ss, to stre ngthe n the reform of publi c servants ' duty consumpti on monetizati on system, meas ures to develop and monit or the impleme ntation of ins pecti on, not consumpti on a s required, eve n shifting consumer behavi or to stop, seri ous cas es to deal with. T hree i deas, public s ervants ' duty cons umption moneti zation reform of politics, the e conomy and the dee peni ng of the reform, public servants ' duty cons umption as s omewhere betwe en a reform als o demonstrated its importance and urge ncy. First of all, civ il servant s especially party and Gover nment leaders and publi c servant s ' duty consumpti on there are big dra wba cks. NPC deputies a nd CPPCC member s and the br oad mass es are concerne d about. Se condly, the

高三数学试卷第

3 页(共 4 页)

positi on-related cons umption of civil serva nts has been swe pt by fina nce, consumer, regardle ss of cost, extravagance a nd waste i n the civil service position-rel ated consumpti on, abuse, corr upti on a nd embez zlement, corr upti on i s important. T hen, under t he conditions of market economy, how to reform the existi ng civil duty cons umption manageme nt, expl ores a source t o preve nt and curb the post cons umption corruption way, is currently a major i ssue faced by honest w ork. Recently, I conducted research on this is sue , this problem on s ome humble opini ons . First, t he existing public servants ' duty cons umption the main probl ems se en from the investigati on a nd rea sons, i n recent years , publi c serva nts ' duty consumpti on caused by the abuses and not a person of i ntegrity, is one of the major problems i n the party in Gover nment, it s operation or der have a negativ e effect on t he party and Gov ernment organs , seri ously damagi ng the image of the party and the G overnment, undermini ng the relations hip betwee n party a nd the mas ses, effect, openi ng up and e conomi c constructi on. From I County i n rece nt years of gover nance sit uation see , positions consumpti on i n the produced of "two not" p henomenon re nderi ng four a feature s: a is positions cons umpti on system l ost ha s due of bi ndi ng, right is greater t han r ules, a nd rig ht is greater tha n method of phe nom enon more hig hlight; II is i n positions consum ption in the Camera Obs cura operation, using terms, will positi ons cons umption into has pers onal consum ption, will corporate p oints to into pers onal poi nts to, makes positi ons cons umption in some as pe cts ha s into positions enjoy and self -deali ng of means; thre e is to positions consumpti on for name, fraud, false im pers onator, Trend of negative corruption phenomena such as corr upti on a nd misa ppr opriati on; four pala ces, foll ow the fashi on, rivalrie s, wasteful, a nd post cons umption be came a symbol of s howi ng off their individual capa cities . Caused by public servants ' duty consumpti on of many "two" phe nome non in w hich people reflect th e biggest probl ems are: (a) the official car pr oblems . Mai nly in thre e as pects : one is the larger buses cost expenditure. A ccor ding to statistics, until November 2003 , XX County tow ns hip D epartment bus 1 59 cars , whi ch department owns the bus 1 45 vehi cles, a nd showed a n increasing tre nd. F ina ncial ex penses cost per bus per year to 3 5,000 y uan, a nd i n fact every cost up t o 50,00 0 yua n. Some units al so hiri ng temporary driv ers and expe nditure on wage s and subsi dies. Nece ssary to "kee p a car", but also "depe nda nts", leadi ng to larger expe nses . Second, gong che siyong breed unhealthy tende ncie s. Some people beli eve that now s ome bus drivers use one -thir d, one-t hird lea ding private one -thir d use d for official purposes . Some publi c serva nts, es pecia lly leadi ng officials m ot oring, cars for private purposes , violating t he self-dis cipli ne regulati ons, and even lea d to traffic acci dent s. Accordi ng to statisti cs from related de partments , since 200 4, the corre ct investigation in our County serves nearly 30 cars for private purpose s, only the first half of this yea r, cars for private pur poses or

1 因为 DC//AB,AB= DC,所以 MF∥AB,MF=AB, 2 即四边形 ABFM 为*行四边形,所以 AM∥BF. 在正三角形 PAD 中,M 为 PD 中点,所以 AM⊥PD. 因为 AB⊥*面 PAD,所以 AB⊥AM. 又因为 DC//AB,所以 DC⊥AM. 因为 BF//AM,所以 BF⊥PD,BF⊥CD. 又因为 PD∩DC=D,PD、DC?*面 PCD,所以 BF⊥*面 PCD. 因为 BF?*面 PBC,所以*面 PBC?*面 PDC. 17.(本小题满分 14 分) 某种树苗栽种时高度为 A(A 为常数)米,栽种 n 年后的高度记为 f(n).经研究发现 f(n)*似地满 -2 9A 3 足 f(n)= ,其中 t=2 ,a,b 为常数,n∈N,f(0)=A.已知栽种 3 年后该树木的高度为 a+btn 栽种时高度的 3 倍. (1)栽种多少年后,该树木的高度是栽种时高度的 8 倍; (2)该树木在栽种后哪一年的增长高度最大. 解: (1)由题意知 f(0)=A,f(3)=3A. =A, ? ?a+b 所以? 9A 解得 a=1,b=8. =3A, 1 ? ?a+4b -2 9A 3 所以 f(n)= ,其中 t = 2 . 1+8×tn 9A 1 n 令 f(n)=8A,得 n=8A,解得 t = , 64 1+8×t -2n 1 即 2 3 = ,所以 n=9. 64 所以栽种9年后,该树木的高度是栽种时高度的 8 倍. 9A (2)由(1)知 f(n)= . 1+8×tn 9A 9A 第 n 年的增长高度为△=f(n)-f(n-1)= - . n- 1+8×t 1+8×tn 1 72Atn 1(1-t) 72Atn 1(1-t) 所以△= - - n n-1 = (1+8t )(1+8t ) 1+8tn 1(t+1)+64t2n 1
- -

9A



72A (1-t)

1 +64tn+8(t+1) - tn 1
In reform of

leaders drivi ng a vehi cle a cci dent ca use d by roa d accide nts, 1, 1 pe ople kill ed and dire ct economic losse s amounting to more t han 1 00,00 0 yua n. Thir d, hig h efficiency and l ow cost of the bus. Surveys show that, the operati ng costs of taxis for the 820 0/... Is a fundame ntal pri ority of the reform, it is a difficult problem that must be solved in t he reform process . Clearl y, the post consumpti on averages t hree years before as a ba se and fine -tuned on the basis of this si ngle pra ctices m ust be impr oved. Improveme nts to adhere to t hree pri nci ples: first, under the existing poli cy provi sions a pprove d for publi c servant s ' duty consumpti on sta ndar ds, calibrati on, is not contrary to poli cy. Se cond, a ccordi ng to the l ocal fina nci al situati on a nd people's s ustainabilit y, publi c servant s ' duty consumpti on sta ndar ds approve d, both fina ncial rea ch, a nd people pa ssi ng through. T hird, a ccordi ng to the operational needs of civil serva nts res ponsi ble for aut horize d publi c servant s ' duty consumpti on sta ndar ds, both high a nd low positions, but als o the nature of the w ork and the w orkloa d. 。 动 活 的 常 正 行 进 对 收 验 量 质 施 各 和 纸 图 计 据 根 度 制 作 关 有 司 公 及 则 细 划 ”、 范 规 “设 按 格 严 后 场 现 入 驻 目 项 了 建 组 即 随 , 起 同 合 理 监 立 订 自 程 工 本

method S hang, a ppr oved civ il servant s positions consumpti on sta ndar d to "big unified, a nd small dispersed" s uitable , that most positi ons consum ption proj ect s hould a ccording t o poli cy pr ovides propos ed unified sta ndar d, consi der to rank s, and units and the w ork task of difference s sex, unified of standard shoul d has el astic of and dy namic of, makes regions, a nd units i n implementati on unified sta ndar d Shi has must of flexible dis pos al right; but si nce s et of standar d must after financial, a nd audit, se ctor a udit a pprove d Hou to impleme ntation. (C) reform package. Publi c serv a nts ' duty cons umption elasti city of cons umption to limit cons umption, tur ning mess i nto kitchen after di nne r, follow the ci v il servant wit h a how to use per sonal title subsi dies, or how to manage a personal duty cons umption use of subsi dies. T herefore, w e must establi sh a nd perfect with public s ervants ' duty consum ption m onetizati on reform s upport of the s eries of gover nance systems such as the civil s ervice examinati on of responsi bilit y, system, low fault i nvestigation system, the re port sai d. While other

measures to kee p up.

Discipli ne inspe ction and supervisi on organs, financial, auditing departme nts shoul d strengt hen s upervision and inspe ction of publi c servants ' duty consumpti on monetization reform progre ss, to stre ngthe n the reform of publi c servants ' duty consumpti on monetizati on system, meas ures to develop and monit or the impleme ntation of ins pecti on, not consumpti on a s required, eve n shifting consumer behavi or to stop, seri ous cas es to deal with. T hree i deas, public s ervants ' duty cons umptio n moneti zation reform of politics, the e conomy and the dee peni ng of the reform, public servants ' duty cons umption as s omewhere betwe en a reform als o demonstrated its importance and urge ncy. First of all, civ il servant s especially party and Gover nment lead ers and publi c servant s ' duty consumpti on there are big dra wba cks. NPC deputies a nd CPPCC member s and the br oad mass es are c oncerne d about. Se condly, the

4

positi on-related cons umption of civil serva nts has been swe pt by fina nce, consumer, regardle ss of cost, extravagance a nd waste i n the civil service position-rel ated consumpti on, abuse, corr upti on a nd embez zlement, corr upti on i s important. T hen, under t he conditions of market economy, how to reform the existi ng civil duty cons umption manageme nt, expl ores a source t o preve nt and curb the post cons umption corruption way, is currently a major i ssue faced by honest w ork. Recently, I conducted research on this is sue , this problem on s ome humble opini ons . First, t he existing public servants ' dut y cons umption the main probl ems se en from the investigati on a nd rea sons, i n recent years , publi c serva nts ' duty consumpti on caused by the abuses and not a person of i ntegrity, is one of the major problems i n the party in Gov er nment, it s operation or der have a negativ e effect on t he party and Gov ernment organs , seri ously damagi ng the image of the party and the G overnment, undermini ng the relations hip betwee n party a nd the mas ses, effect, openi ng up and e conomi c constructi on. From I County i n rece nt years of gover nance sit uation see , positions consumpti on i n the produced of "two not" p henomenon re nderi ng four a feature s: a is positions cons umpti on system l ost ha s due of bi ndi ng, right is greater t han r ules, a nd rig ht is greater tha n method of phe nom enon more hig hlight; II is i n positions consum ption in the Camera Obs cura operation, using terms, will p ositi ons cons umption into has pers onal consum ption, will corporate points to into pers onal poi nts to, makes positi ons cons umption in some as pe cts ha s into positions enjoy and self-deali ng of means; thre e is to positions consumpti on for name, fraud, false im pers onator, Trend of negative corruption phenomena such as corr upti on a nd misa ppr opriati on; four pala ces, foll ow the fashi on, rivalrie s, wasteful, a nd post cons umption be came a symbol of s howi ng off their individual capa cities . Caused by public servants ' duty consumpti on of many "two" phe nome non in w hich people reflect the biggest probl ems are: (a) the official car pr oblems . Mai nly in thre e as pects : one is the larger buses cost expenditure. A ccor ding to statistics, until November 2003 , XX County tow ns hip D epartment bus 1 59 cars , whi ch department owns the bus 1 45 vehi cles, a nd showed a n increasing tre nd. F ina ncial ex penses cost per bu s per year to 3 5,000 y uan, a nd i n fact every cost up t o 50,00 0 yua n. Some units al so hiri ng temporary driv ers and expe nditure on wage s and subsi dies. Nece ssary to "kee p a car", but also "depe nda nts", leadi ng to larger expe nses . Second, gong che siyong breed unhealthy tende ncie s. Some people beli eve that now s ome bus drivers use one -thir d, one-t hird lea ding private one -thir d use d for official purposes . Some publi c serva nts, es pecia lly leadi ng officials mot oring, cars for private purposes , violating t he self -dis cipli ne regulati ons, and even lea d to traffic acci dent s. Accordi ng to statisti cs from related de partments , since 200 4, the corre ct investigation in our County serves nearly 30 cars for private purpose s, only the first half of this yea r, cars for private pur poses or

≤ 2

72A (1-t) 72A (1-t) 9 A(1 ? t ) = . 2= 1 8(1 + t ) n (1 ? t ) 2 64t × n-1+8(t+1) t

-2(2n-1) 1 1 当且仅当 64tn= n-1,即 2 3 = 时取等号,此时 n=5. 64 t 所以该树木栽种后第 5 年的增长高度最大. 18.(本小题满分 16 分) x2 y2 已知椭圆 C: 2+ 2=1(a>b>0)过点 P(-1,-1),c 为椭圆的半焦距,且 c= 2b.过点 P 作 a b 两条互相垂直的直线 l1,l2 与椭圆 C 分别交于另两点 M,N. (1)求椭圆 C 的方程; (2)若直线 l1 的斜率为-1,求△PMN 的面积; (3)若线段 MN 的中点在 x 轴上,求直线 MN 的方程. 1 1 4 解: (1)由条件得 2+ 2=1,且 c2=2b2,所以 a2=3b2,解得 b2= ,a2=4. a b 3 x2 3y2 所以椭圆方程为: + =1. 4 4 (2)设 l1 方程为 y+1=k(x+1),
?y=kx+k-1, 联立? 2 消去 y 得(1+3k2)x2+6k(k-1)x+3(k-1)2-4=0. 2 ?x +3y =4,

-3k2+6k+1 3k2+2k-1 因为 P 为(-1,1) ,解得 M( , ) . 1+3k2 1+3k2 k2-6k-3 -k2-2k+3 1 当 k≠0 时,用- 代替 k,得 N( 2 , ) . k k +3 k2+3 将 k=-1 代入,得 M(-2,0) ,N(1,1) . 因为 P(-1,-1) ,所以 PM= 2,PN=2 2, 1 所以△PMN 的面积为 × 2×2 2=2. 2 (3)解法一:设 M(x1,y1),N(x2,y2),则
?x12+3y12=4, ? 2 两式相减得(x1+x2)(x1-x2)+3(y1+y2)(y1-y2)=0, 2 ?x2 +3y2 =4,

因为线段 MN 的中点在 x 轴上,所以 y1+y2=0,从而可得(x1+x2)(x1-x2)=0. 若 x1+x2=0,则 N(-x1,-y1). → → 因为 PM⊥PN,所以PM·PN=0,得 x12+y12=2. 又因为 x12+3y12=4,所以解得 x1=±1,所以 M(-1,1),N(1,-1)或 M(1,-1),N(-1, 1). 所以直线 MN 的方程为 y=-x. 若 x1-x2=0,则 N(x1,-y1) , → → 因为 PM⊥PN,所以PM·PN=0,得 y12=(x1+1)2+1.
leaders drivi ng a vehi cle a cci dent ca use d by roa d accide nts, 1, 1 pe ople kill ed and dire ct economic losse s amounting to more t han 1 00,00 0 yua n. Thir d, hig h efficiency and l ow cost of the bus. Surveys show that, the operati ng costs of taxis for the 820 0/ ... Is a fundame ntal pri ority of the reform, it is a difficult problem that must be solved in t he reform process . Clearl y, the post consumpti on averages t hree years before as a ba se and fine -tuned on the basis of this si ngle pra ctices m ust be impr oved. Improveme nts to adhere to t hree pri nci ples: first, under the ex isting poli cy provi sions a pprove d for publi c servant s ' duty consumpti on sta ndar ds, calibrati on, is not contrary to poli cy. Se cond, a ccordi ng to the l ocal fina nci al situati on a nd people's s ustainabilit y, publi c servant s ' duty consumpti on sta ndar ds approve d, both fina ncial rea ch, a nd people pa ssi ng through. T hird, a ccordi ng to the operational needs of civil serva nts res ponsi ble for aut horize d publi c servant s ' duty consumpti on sta ndar ds, both high a nd low positions, but als o the nature of the w ork and the w orkloa d. 。 动 活 的 常 正 行 进 对 收 验 量 质 施 各 和 纸 图 计 据 根 度 制 作 关 有 司 公 及 则 细 划 、 ” 范 规 设 “ 按 格 严 后 场 现 入 驻 目 项 了 建 组 即 随 , 起 同 合 理 监 立 订 自 程 工 本 In reform of method S hang, a ppr oved civ il servant s positions consumpti on sta ndar d to "big unified, a nd small dispersed" s uitable , that most positi ons consum ption proj ect s hould a ccording t o poli cy pr ovides propos ed unified sta ndar d, consi der to rank s, and units and the w ork task of difference s sex, unified of standard shoul d has el astic of and dy namic of, makes regions, a nd units i n implementati on unified sta ndar d Shi has must of flexible dis pos al right; but si nce s et of standar d must after financial, a nd audit, se ctor a udit a pprove d Hou to impleme ntation. (C) reform package. Publi c serva nts ' duty cons umption elasti city of cons umption to limit cons umption, tur ning mess i nto kitchen after di nne r, follow the civ il servant wit h a how to use per sonal title subsi dies, or how to manage a personal duty cons umption u se of subsi dies. T herefore, w e must establi sh a nd perfect with public s ervants ' duty consum ption m onetizati on reform s upport of the s eries of gover nance systems such as the civil s ervice examinati on of responsi bilit y, system, low fault i nvestigation system, the re port sai d. While other

measures to kee p up.

Discipli ne inspe ction and supervisi on organs, financial, auditing departme nts shoul d strengt hen s upervision and inspe ction of publi c servants ' duty consumpti on monetization reform progre ss, to stre ngthe n the reform of publi c servants ' duty consumpti on monetizati on system, meas ures to develop and monit or the impleme ntation of ins pecti on, not consumpti on a s required, eve n shifting consumer behavi or to stop, seri ous cas es to deal with. T hree i deas, public s ervants ' duty cons umption moneti zation reform of politics, the e conomy and the dee peni ng of the reform, public servants ' duty cons umption as s omewhere betwe en a reform als o demonstrated its importance and urge ncy. First of all, civ il servant s especially party and Gover nment leaders and publi c servant s ' duty consumpti on there are big dra wba cks. NPC deputies a nd CPPCC member s and the br oad mass es are concerne d about. Se condly, the

高三数学试卷第

5 页(共 4 页)

positi on-related cons umption of civil serva nts has been swe pt by fina nce, consumer, regardle ss of cost, extravagance a nd waste i n the civil service position-rel ated consumpti on, abuse, corr upti on a nd embez zlement, corr upti on i s important. T hen, under t he conditions of market economy, how to reform the existi ng civil duty cons umption manageme nt, expl ores a source t o preve nt and curb the post cons umption corruption way, is currently a major i ssue faced by honest w ork. Recently, I conducted research on this is sue , this problem on s ome humble opini ons . First, t he existing public servants ' duty cons umption the main probl ems se en from the investigati on a nd rea sons, i n recent years , publi c serva nts ' duty consumpti on caused by the abuses and not a person of i ntegrity, is one of the major problems i n the party in Gover nment, it s operation or der have a negativ e effect on t he party and Gov ernment organs , seri ously damagi ng the image of the party and the G overnment, undermini ng the relations hip betwee n party a nd the mas ses, effect, openi ng up and e conomi c constructi on. From I County i n rece nt years of gover nance sit uation see , positions consumpti on i n the produced of "two not" p henomenon re nderi ng four a feature s: a is positions cons umpti on system l ost ha s due of bi ndi ng, right is greater t han r ules, a nd rig ht is greater tha n method of phe nom enon more hig hlight; II is i n positions consum ption in the Camera Obs cura operation, using terms, will positi ons cons umption into has pers onal consum ption, will corporate p oints to into pers onal poi nts to, makes positi ons cons umption in some as pe cts ha s into positions enjoy and self -deali ng of means; thre e is to positions consumpti on for name, fraud, false im pers onator, Trend of negative corruption phenomena such as corr upti on a nd misa ppr opriati on; four pala ces, foll ow the fashi on, rivalrie s, wasteful, a nd post cons umption be came a symbol of s howi ng off their individual capa cities . Caused by public servants ' duty consumpti on of many "two" phe nome non in w hich people reflect th e biggest probl ems are: (a) the official car pr oblems . Mai nly in thre e as pects : one is the larger buses cost expenditure. A ccor ding to statistics, until November 2003 , XX County tow ns hip D epartment bus 1 59 cars , whi ch department owns the bus 1 45 vehi cles, a nd showed a n increasing tre nd. F ina ncial ex penses cost per bus per year to 3 5,000 y uan, a nd i n fact every cost up t o 50,00 0 yua n. Some units al so hiri ng temporary driv ers and expe nditure on wage s and subsi dies. Nece ssary to "kee p a car", but also "depe nda nts", leadi ng to larger expe nses . Second, gong che siyong breed unhealthy tende ncie s. Some people beli eve that now s ome bus drivers use one -thir d, one-t hird lea ding private one -thir d use d for official purposes . Some publi c serva nts, es pecia lly leadi ng officials m ot oring, cars for private purposes , violating t he self-dis cipli ne regulati ons, and even lea d to traffic acci dent s. Accordi ng to statisti cs from related de partments , since 200 4, the corre ct investigation in our County serves nearly 30 cars for private purpose s, only the first half of this yea r, cars for private pur poses or

1 又因为 x12+3y12=4,所以解得 x1=- 或-1, 2 1 经检验:x=- 满足条件,x=-1 不满足条件. 2 1 综上,直线 MN 的方程为 x+y=0 或 x=- . 2 3k2+2k-1 -k2-2k+3 解法二: 由 (2) 知, 当 k≠0 时, 因为线段 MN 的中点在 x 轴上, 所以 =- , 1+3k2 k2+3 化简得 4k (k2-4k-1)=0,解得 k=2± 5. 1 5 1 5 1 若 k=2+ 5,则 M(- , ) ,N(- ,- ) ,此时直线 MN 的方程为 x=- . 2 2 2 2 2 1 5 1 5 1 若 k=2- 5,则 M(- ,- ) ,N(- , ) ,此时直线 MN 的方程为 x=- . 2 2 2 2 2 当 k=0 时,M(1,-1) ,N(-1,1) ,满足题意,此时直线 MN 的方程为 x+y=0. 1 综上,直线 MN 的方程为 x=- 或 x+y=0. 2 19.(本小题满分 16 分) 已知函数 f(x)=lnx-mx(m∈R). (1)若曲线 y=f(x)过点 P(1,-1),求曲线 y=f(x)在点 P 处的切线方程; (2)求函数 f(x)在区间[1,e]上的最大值; (3)若函数 f(x)有两个不同的零点 x1,x2,求证:x1x2>e2. 解: (1)因为点 P(1,-1)在曲线 y=f(x)上,所以-m=-1,解得 m=1. 1 因为 f ′(x)= -1,所以切线的斜率为 0,所以切线方程为 y=-1. x 1-mx 1 (2)因为 f ′(x)= -m= . x x ①当 m≤0 时, x∈(1,e), f ′(x)>0,所以函数 f (x)在(1,e)上单调递增,则 f (x) max=f (e)=1 -me. 1 1 ②当 ≥e,即 0<m≤ 时,x∈(1,e), f ′(x)>0,所以函数 f (x)在(1,e)上单调递增,则 f (x)max m e =f (e)=1-me. 1 1 1 1 ③当 1< <e,即 <m<1 时,函数 f (x)在 (1, )上单调递增,在( ,e)上单调递减, m e m m 1 则 f (x) max=f ( )=-lnm-1. m 1 ④当 ≤1,即 m≥1 时,x∈(1,e), f ′(x)<0,函数 f (x)在(1,e)上单调递减,则 f (x) max=f (1) m =-m. 1 综上,①当 m≤ 时,f (x)max=1-me; e
leaders drivi ng a vehi cle a cci dent ca use d by roa d accide nts, 1, 1 pe ople kill ed and dire ct economic losse s amounting to more t han 1 00,00 0 yua n. Thir d, hig h efficiency and l ow cost of the bus. Surveys show that, the operati ng costs of taxis for the 820 0/... Is a fundame ntal pri ority of the reform, it is a difficult problem that must be solved in t he reform process . Clearl y, the post consumpti on averages t hree years before as a ba se and fine -tuned on the basis of this si ngle pra ctices m ust be impr oved. Improveme nts to adhere to t hree pri nci ples: first, under the existing poli cy provi sions a pprove d for publi c servant s ' duty consumpti on sta ndar ds, calibrati on, is not contrary to poli cy. Se cond, a ccordi ng to the l ocal fina nci al situati on a nd people's s ustainabilit y, publi c servant s ' duty consumpti on sta ndar ds approve d, both fina ncial rea ch, a nd people pa ssi ng through. T hird, a ccordi ng to the operational needs of civil serva nts res ponsi ble for aut horize d publi c servant s ' duty consumpti on sta ndar ds, both high a nd low positions, but als o the nature of the w ork and the w orkloa d. 。 动 活 的 常 正 行 进 对 收 验 量 质 施 各 和 纸 图 计 据 根 度 制 作 关 有 司 公 及 则 细 划 ”、 范 规 “设 按 格 严 后 场 现 入 驻 目 项 了 建 组 即 随 , 起 同 合 理 监 立 订 自 程 工 本 In reform of method S hang, a ppr oved civ il servant s positions consumpti on sta ndar d to "big unified, a nd small dispersed" s uitable , that most positi ons consum ption proj ect s hould a ccording t o poli cy pr ovides propos ed unified sta ndar d, consi der to rank s, and units and the w ork task of difference s sex, unified of standard shoul d has el astic of and dy namic of, makes regions, a nd units i n implementati on unified sta ndar d Shi has must of flexible dis pos al right; but si nce s et of standar d must after financial, a nd audit, se ctor a udit a pprove d Hou to impleme ntation. (C) reform package. Publi c serv a nts ' duty cons umption elasti city of cons umption to limit cons umption, tur ning mess i nto kitchen after di nne r, follow the ci v il servant wit h a how to use per sonal title subsi dies, or how to manage a personal duty cons umption use of subsi dies. T herefore, w e must establi sh a nd perfect with public s ervants ' duty consum ption m onetizati on reform s upport of the s eries of gover nance systems such as the civil s ervice examinati on of responsi bilit y, system, low fault i nvestigation system, the re port sai d. While other

measures to kee p up.

Discipli ne inspe ction and supervisi on organs, financial, auditing departme nts shoul d strengt hen s upervision and inspe ction of publi c servants ' duty consumpti on monetization reform progre ss, to stre ngthe n the reform of publi c servants ' duty consumpti on monetizati on system, meas ures to develop and monit or the impleme ntation of ins pecti on, not consumpti on a s required, eve n shifting consumer behavi or to stop, seri ous cas es to deal with. T hree i deas, public s ervants ' duty cons umptio n moneti zation reform of politics, the e conomy and the dee peni ng of the reform, public servants ' duty cons umption as s omewhere betwe en a reform als o demonstrated its importance and urge ncy. First of all, civ il servant s especially party and Gover nment lead ers and publi c servant s ' duty consumpti on there are big dra wba cks. NPC deputies a nd CPPCC member s and the br oad mass es are c oncerne d about. Se condly, the

6

positi on-related cons umption of civil serva nts has been swe pt by fina nce, consumer, regardle ss of cost, extravagance a nd waste i n the civil service position-rel ated consumpti on, abuse, corr upti on a nd embez zlement, corr upti on i s important. T hen, under t he conditions of market economy, how to reform the existi ng civil duty cons umption manageme nt, expl ores a source t o preve nt and curb the post cons umption corruption way, is currently a major i ssue faced by honest w ork. Recently, I conducted research on this is sue , this problem on s ome humble opini ons . First, t he existing public servants ' dut y cons umption the main probl ems se en from the investigati on a nd rea sons, i n recent years , publi c serva nts ' duty consumpti on caused by the abuses and not a person of i ntegrity, is one of the major problems i n the party in Gov er nment, it s operation or der have a negativ e effect on t he party and Gov ernment organs , seri ously damagi ng the image of the party and the G overnment, undermini ng the relations hip betwee n party a nd the mas ses, effect, openi ng up and e conomi c constructi on. From I County i n rece nt years of gover nance sit uation see , positions consumpti on i n the produced of "two not" p henomenon re nderi ng four a feature s: a is positions cons umpti on system l ost ha s due of bi ndi ng, right is greater t han r ules, a nd rig ht is greater tha n method of phe nom enon more hig hlight; II is i n positions consum ption in the Camera Obs cura operation, using terms, will p ositi ons cons umption into has pers onal consum ption, will corporate points to into pers onal poi nts to, makes positi ons cons umption in some as pe cts ha s into positions enjoy and self-deali ng of means; thre e is to positions consumpti on for name, fraud, false im pers onator, Trend of negative corruption phenomena such as corr upti on a nd misa ppr opriati on; four pala ces, foll ow the fashi on, rivalrie s, wasteful, a nd post cons umption be came a symbol of s howi ng off their individual capa cities . Caused by public servants ' duty consumpti on of many "two" phe nome non in w hich people reflect the biggest probl ems are: (a) the official car pr oblems . Mai nly in thre e as pects : one is the larger buses cost expenditure. A ccor ding to statistics, until November 2003 , XX County tow ns hip D epartment bus 1 59 cars , whi ch department owns the bus 1 45 vehi cles, a nd showed a n increasing tre nd. F ina ncial ex penses cost per bu s per year to 3 5,000 y uan, a nd i n fact every cost up t o 50,00 0 yua n. Some units al so hiri ng temporary driv ers and expe nditure on wage s and subsi dies. Nece ssary to "kee p a car", but also "depe nda nts", leadi ng to larger expe nses . Second, gong che siyong breed unhealthy tende ncie s. Some people beli eve that now s ome bus drivers use one -thir d, one-t hird lea ding private one -thir d use d for official purposes . Some publi c serva nts, es pecia lly leadi ng officials mot oring, cars for private purposes , violating t he self -dis cipli ne regulati ons, and even lea d to traffic acci dent s. Accordi ng to statisti cs from related de partments , since 200 4, the corre ct investigation in our County serves nearly 30 cars for private purpose s, only the first half of this yea r, cars for private pur poses or

1 ②当 <m<1 时,f (x)max=-lnm-1; e ③当 m≥1 时,f (x)max=-m. (3)不妨设 x1>x2>0.因为 f (x1)=f (x2)=0,所以 lnx1-mx1=0,lnx2-mx2=0, 可得 lnx1+lnx2=m(x1+x2),lnx1-lnx2=m(x1-x2). 要证明 x1x2>e2,即证明 lnx1+lnx2>2,也就是 m(x1+x2)>2. lnx1-lnx2 lnx1-lnx2 2 x1 2(x1-x2) 因为 m= ,所以即证明 > ,即 ln > . x2 x1-x2 x1-x2 x1+x2 x1+x2 2(t-1) x1 令 =t,则 t>1,于是 lnt> . x2 t+1 2(t-1) (t-1)2 1 4 令?(t)=lnt- (t>1) ,则? ′(t)= - >0. 2= t (t+1) t(t+1)2 t+1 2(t-1) 故函数?(t)在(1,+∞)上是增函数,所以?(t)>?(1)=0,即 lnt> 成立. t+1 所以原不等式成立. 20.(本小题满分 16 分) 已知 a,b 是不相等的正数,在 a,b 之间分别插入 m 个正数 a1,a2,…,am 和正数 b1,b2,…, bm,使 a,a1,a2,…,am,b 是等差数列,a,b1,b2,…,bm,b 是等比数列. a3 5 b (1)若 m=5, = ,求 的值; b3 4 a (2)若 b=λa(λ∈N*,λ≥2),如果存在 n (n∈N*,6≤n≤m)使得 an-5=bn,求 λ 的最小值及此时 m 的值; (3)求证:an>bn(n∈N*,n≤m). 解: (1)设等差数列的公差为 d,等比数列的公比为 q, b-a 则 d= ,q= 6
6

b . a

a+b a3=a+3d= ,b3=aq3= ab. 2 a3 5 b 1 因为 = ,所以 2a-5 ab+2b=0,解得 =4 或 . b3 4 a 4 λ-1 λ-1 (2)因为 λa=a+(m+1)d,所以 d= a,从而得 an=a+ a× n. m+1 m+1
1


n

因为 λa=a× qm 1,所以 q=λm+1,从而得 bn=a× λm+1. (λ-1)(n-5) 因为 an-5=bn,所以 a+ × a=a× λm+1. m+1
leaders drivi ng a vehi cle a cci dent ca use d by roa d accide nts, 1, 1 pe ople kill ed and dire ct economic losse s amounting to more t han 1 00,00 0 yua n. Thir d, hig h efficiency and l ow cost of the bus. Surveys show that, the operati ng costs of taxis for the 820 0/ ... Is a fundame ntal pri ority of the reform, it is a difficult problem that must be solved in t he reform process . Clearl y, the post consumpti on averages t hree years before as a ba se and fine -tuned on the basis of this si ngle pra ctices m ust be impr oved. Improveme nts to adhere to t hree pri nci ples: first, under the ex isting poli cy provi sions a pprove d for publi c servant s ' duty consumpti on sta ndar ds, calibrati on, is not contrary to poli cy. Se cond, a ccordi ng to the l ocal fina nci al situati on a nd people's s ustainabilit y, publi c servant s ' duty consumpti on sta ndar ds approve d, both fina ncial rea ch, a nd people pa ssi ng through. T hird, a ccordi ng to the operational needs of civil serva nts res ponsi ble for aut horize d publi c servant s ' duty consumpti on sta ndar ds, both high a nd low positions, but als o the nature of the w ork and the w orkloa d. 。 动 活 的 常 正 行 进 对 收 验 量 质 施 各 和 纸 图 计 据 根 度 制 作 关 有 司 公 及 则 细 划 、 ” 范 规 设 “ 按 格 严 后 场 现 入 驻 目 项 了 建 组 即 随 , 起 同 合 理 监 立 订 自 程 工 本 In reform of

n

method S hang, a ppr oved civ il servant s positions consumpti on sta ndar d to "big unified, a nd small dispersed" s uitable , that most positi ons consum ption proj ect s hould a ccording t o poli cy pr ovides propos ed unified sta ndar d, consi der to rank s, and units and the w ork task of difference s sex, unified of standard shoul d has el astic of and dy namic of, makes regions, a nd units i n implementati on unified sta ndar d Shi has must of flexible dis pos al right; but si nce s et of standar d must after financial, a nd audit, se ctor a udit a pprove d Hou to impleme ntation. (C) reform package. Publi c serva nts ' duty cons umption elasti city of cons umption to limit cons umption, tur ning mess i nto kitchen after di nne r, follow the civ il servant wit h a how to use per sonal title subsi dies, or how to manage a personal duty cons umption u se of subsi dies. T herefore, w e must establi sh a nd perfect with public s ervants ' duty consum ption m onetizati on reform s upport of the s eries of gover nance systems such as the civil s ervice examinati on of responsi bilit y, system, low fault i nvestigation system, the re port sai d. While other

measures to kee p up.

Discipli ne inspe ction and supervisi on organs, financial, auditing departme nts shoul d strengt hen s upervision and inspe ction of publi c servants ' duty consumpti on monetization reform progre ss, to stre ngthe n the reform of publi c servants ' duty consumpti on monetizati on system, meas ures to develop and monit or the impleme ntation of ins pecti on, not consumpti on a s required, eve n shifting consumer behavi or to stop, seri ous cas es to deal with. T hree i deas, public s ervants ' duty cons umption moneti zation reform of politics, the e conomy and the dee peni ng of the reform, public servants ' duty cons umption as s omewhere betwe en a reform als o demonstrated its importance and urge ncy. First of all, civ il servant s especially party and Gover nment leaders and publi c servant s ' duty consumpti on there are big dra wba cks. NPC deputies a nd CPPCC member s and the br oad mass es are concerne d about. Se condly, the

高三数学试卷第

7 页(共 4 页)

positi on-related cons umption of civil serva nts has been swe pt by fina nce, consumer, regardle ss of cost, extravagance a nd waste i n the civil service position-rel ated consumpti on, abuse, corr upti on a nd embez zlement, corr upti on i s important. T hen, under t he conditions of market economy, how to reform the existi ng civil duty cons umption manageme nt, expl ores a source t o preve nt and curb the post cons umption corruption way, is currently a major i ssue faced by honest w ork. Recently, I conducted research on this is sue , this problem on s ome humble opini ons . First, t he existing public servants ' duty cons umption the main probl ems se en from the investigati on a nd rea sons, i n recent years , publi c serva nts ' duty consumpti on caused by the abuses and not a person of i ntegrity, is one of the major problems i n the party in Gover nment, it s operation or der have a negativ e effect on t he party and Gov ernment organs , seri ously damagi ng the image of the party and the G overnment, undermini ng the relations hip betwee n party a nd the mas ses, effect, openi ng up and e conomi c constructi on. From I County i n rece nt years of gover nance sit uation see , positions consumpti on i n the produced of "two not" p henomenon re nderi ng four a feature s: a is positions cons umpti on system l ost ha s due of bi ndi ng, right is greater t han r ules, a nd rig ht is greater tha n method of phe nom enon more hig hlight; II is i n positions consum ption in the Camera Obs cura operation, using terms, will positi ons cons umption into has pers onal consum ption, will corporate p oints to into pers onal poi nts to, makes positi ons cons umption in some as pe cts ha s into positions enjoy and self -deali ng of means; thre e is to positions consumpti on for name, fraud, false im pers onator, Trend of negative corruption phenomena such as corr upti on a nd misa ppr opriati on; four pala ces, foll ow the fashi on, rivalrie s, wasteful, a nd post cons umption be came a symbol of s howi ng off their individual capa cities . Caused by public servants ' duty consumpti on of many "two" phe nome non in w hich people reflect th e biggest probl ems are: (a) the official car pr oblems . Mai nly in thre e as pects : one is the larger buses cost expenditure. A ccor ding to statistics, until November 2003 , XX County tow ns hip D epartment bus 1 59 cars , whi ch department owns the bus 1 45 vehi cles, a nd showed a n increasing tre nd. F ina ncial ex penses cost per bus per year to 3 5,000 y uan, a nd i n fact every cost up t o 50,00 0 yua n. Some units al so hiri ng temporary driv ers and expe nditure on wage s and subsi dies. Nece ssary to "kee p a car", but also "depe nda nts", leadi ng to larger expe nses . Second, gong che siyong breed unhealthy tende ncie s. Some people beli eve that now s ome bus drivers use one -thir d, one-t hird lea ding private one -thir d use d for official purposes . Some publi c serva nts, es pecia lly leadi ng officials m ot oring, cars for private purposes , violating t he self-dis cipli ne regulati ons, and even lea d to traffic acci dent s. Accordi ng to statisti cs from related de partments , since 200 4, the corre ct investigation in our County serves nearly 30 cars for private purpose s, only the first half of this yea r, cars for private pur poses or

n (λ-1)(n-5) m+ 因为 a>0,所以 1+ =λ 1(*) . m+1

(λ-1)(n-5) 因为 λ,m,n∈N*,所以 1+ 为有理数. m+1 要使(*)成立,则 λ
n m+1

必须为有理数.

因为 n≤m,所以 n<m+1.
n

若 λ=2,则 λm+1为无理数,不满足条件. 同理,λ=3 不满足条件. 2n 当 λ=4 时,4m+1=2m+1.要使 2m+1为有理数,则 必须为整数. m+1 又因为 n≤m,所以仅有 2n=m+1 满足条件. 3(n-5) 所以 1+ =2,从而解得 n=15,m=29. m+1 综上,λ 最小值为 4,此时 m 为 29. (3)证法一:设 cn>0,Sn 为数列{cn}的前 n 项的和. Sn 先证:若{cn}为递增数列,则{ }为递增数列. n Sn nbn+1 证明:当 n∈N*时, < =bn+1. n n Sn n+1 Sn Sn+1 Sn 因为 Sn+1=Sn+bn+1>Sn+ = S ,所以 < ,即数列{ }为递增数列. n n n n n+1 n Sn 同理可证,若{cn}为递减数列,则{ }为递减数列. n Sm + 1 Sn ①当 b>a 时,q>1.当 n∈N*,n≤m 时, > . m+1 n aq(qm 1-1) aq(qn-1) + q-1 q-1 aqm 1-a aqn-a 即 > ,即 > . n n m+1 m+1


n

2n

2n

b-a + 因为 b=aqm 1,bn=aqn,d= , m+1 bn-a 所以 d> ,即 a+nd>bn,即 an>bn. n Sm +1 Sn ②当 b<a 时,0<q<1,当 n∈N*,n≤m 时, < . m+1 n aq(qm 1-1) aq(qn-1) q-1 q-1 即 < . n m+1


leaders drivi ng a vehi cle a cci dent ca use d by roa d accide nts, 1, 1 pe ople kill ed and dire ct economic losse s amounting to more t han 1 00,00 0 yua n. Thir d, hig h efficiency and l ow cost of the bus. Surveys show that, the operati ng costs of taxis for the 820 0/... Is a fundame ntal pri ority of the reform, it is a difficult problem that must be solved in t he reform process . Clearl y, the post consumpti on averages t hree years before as a ba se and fine -tuned on the basis of this si ngle pra ctices m ust be impr oved. Improveme nts to adhere to t hree pri nci ples: first, under the existing poli cy provi sions a pprove d for publi c servant s ' duty consumpti on sta ndar ds, calibrati on, is not contrary to poli cy. Se cond, a ccordi ng to the l ocal fina nci al situati on a nd people's s ustainabilit y, publi c servant s ' duty consumpti on sta ndar ds approve d, both fina ncial rea ch, a nd people pa ssi ng through. T hird, a ccordi ng to the operational needs of civil serva nts res ponsi ble for aut horize d publi c servant s ' duty consumpti on sta ndar ds, both high a nd low positions, but als o the nature of the w ork and the w orkloa d. 。 动 活 的 常 正 行 进 对 收 验 量 质 施 各 和 纸 图 计 据 根 度 制 作 关 有 司 公 及 则 细 划 ”、 范 规 “设 按 格 严 后 场 现 入 驻 目 项 了 建 组 即 随 , 起 同 合 理 监 立 订 自 程 工 本

In reform of

method S hang, a ppr oved civ il servant s positions consumpti on sta ndar d to "big unified, a nd small dispersed" s uitable , that most positi ons consum ption proj ect s hould a ccording t o poli cy pr ovides propos ed unified sta ndar d, consi der to rank s, and units and the w ork task of difference s sex, unified of standard shoul d has el astic of and dy namic of, makes regions, a nd units i n implementati on unified sta ndar d Shi has must of flexible dis pos al right; but si nce s et of standar d must after financial, a nd audit, se ctor a udit a pprove d Hou to impleme ntation. (C) reform package. Publi c serv a nts ' duty cons umption elasti city of cons umption to limit cons umption, tur ning mess i nto kitchen after di nne r, follow the ci v il servant wit h a how to use per sonal title subsi dies, or how to manage a personal duty cons umption use of subsi dies. T herefore, w e must establi sh a nd perfect with public s ervants ' duty consum ption m onetizati on reform s upport of the s eries of gover nance systems such as the civil s ervice examinati on of responsi bilit y, system, low fault i nvestigation system, the re port sai d. While other

measures to kee p up.

Discipli ne inspe ction and supervisi on organs, financial, auditing departme nts shoul d strengt hen s upervision and inspe ction of publi c servants ' duty consumpti on monetization reform progre ss, to stre ngthe n the reform of publi c servants ' duty consumpti on monetizati on system, meas ures to develop and monit or the impleme ntation of ins pecti on, not consumpti on a s required, eve n shifting consumer behavi or to stop, seri ous cas es to deal with. T hree i deas, public s ervants ' duty cons umptio n moneti zation reform of politics, the e conomy and the dee peni ng of the reform, public servants ' duty cons umption as s omewhere betwe en a reform als o demonstrated its importance and urge ncy. First of all, civ il servant s especially party and Gover nment lead ers and publi c servant s ' duty consumpti on there are big dra wba cks. NPC deputies a nd CPPCC member s and the br oad mass es are c oncerne d about. Se condly, the

8

positi on-related cons umption of civil serva nts has been swe pt by fina nce, consumer, regardle ss of cost, extravagance a nd waste i n the civil service position-rel ated consumpti on, abuse, corr upti on a nd embez zlement, corr upti on i s important. T hen, under t he conditions of market economy, how to reform the existi ng civil duty cons umption manageme nt, expl ores a source t o preve nt and curb the post cons umption corruption way, is currently a major i ssue faced by honest w ork. Recently, I conducted research on this is sue , this problem on s ome humble opini ons . First, t he existing public servants ' dut y cons umption the main probl ems se en from the investigati on a nd rea sons, i n recent years , publi c serva nts ' duty consumpti on caused by the abuses and not a person of i ntegrity, is one of the major problems i n the party in Gov er nment, it s operation or der have a negativ e effect on t he party and Gov ernment organs , seri ously damagi ng the image of the party and the G overnment, undermini ng the relations hip betwee n party a nd the mas ses, effect, openi ng up and e conomi c constructi on. From I County i n rece nt years of gover nance sit uation see , positions consumpti on i n the produced of "two not" p henomenon re nderi ng four a feature s: a is positions cons umpti on system l ost ha s due of bi ndi ng, right is greater t han r ules, a nd rig ht is greater tha n method of phe nom enon more hig hlight; II is i n positions consum ption in the Camera Obs cura operation, using terms, will p ositi ons cons umption into has pers onal consum ption, will corporate points to into pers onal poi nts to, makes positi ons cons umption in some as pe cts ha s into positions enjoy and self-deali ng of means; thre e is to positions consumpti on for name, fraud, false im pers onator, Trend of negative corruption phenomena such as corr upti on a nd misa ppr opriati on; four pala ces, foll ow the fashi on, rivalrie s, wasteful, a nd post cons umption be came a symbol of s howi ng off their individual capa cities . Caused by public servants ' duty consumpti on of many "two" phe nome non in w hich people reflect the biggest probl ems are: (a) the official car pr oblems . Mai nly in thre e as pects : one is the larger buses cost expenditure. A ccor ding to statistics, until November 2003 , XX County tow ns hip D epartment bus 1 59 cars , whi ch department owns the bus 1 45 vehi cles, a nd showed a n increasing tre nd. F ina ncial ex penses cost per bu s per year to 3 5,000 y uan, a nd i n fact every cost up t o 50,00 0 yua n. Some units al so hiri ng temporary driv ers and expe nditure on wage s and subsi dies. Nece ssary to "kee p a car", but also "depe nda nts", leadi ng to larger expe nses . Second, gong che siyong breed unhealthy tende ncie s. Some people beli eve that now s ome bus drivers use one -thir d, one-t hird lea ding private one -thir d use d for official purposes . Some publi c serva nts, es pecia lly leadi ng officials mot oring, cars for private purposes , violating t he self -dis cipli ne regulati ons, and even lea d to traffic acci dent s. Accordi ng to statisti cs from related de partments , since 200 4, the corre ct investigation in our County serves nearly 30 cars for private purpose s, only the first half of this yea r, cars for private pur poses or

aqm 1-a aqn-a 因为 0<q<1,所以 > .以下同①. n m+1


综上, an>bn(n∈N*,n≤m). 证法二:设等差数列 a,a1,a2,…,am,b 的公差为 d,等比数列 a,b1,b2,…,bm,b 的公 比为 q, b=λa(λ>0,λ≠1). λ-1 由题意,得 d= a,q=aλm+1, m+1
n λ-1 所以 an=a+nd=a+ an,bn=aλm+1. m+1 1

要证 an>bn(n∈N*,n≤m), λ-1 只要证 1+ n-λm+1>0(λ>0,λ≠1,n∈N*,n≤m). m+1
x λ-1 构造函数 f(x)=1+ x-λm+1(λ>0,λ≠1,0<x<m+1), m+1 n

λ-1 λ-1 1 m +1 则 f′(x)= - λ lnλ.令 f′(x)=0,解得 x0=(m+1)logλ . lnλ m+1 m+1 λ-1 以下证明 0<logλ <1. lnλ λ-1 不妨设 λ>1,即证明 1< <λ,即证明 lnλ-λ+1<0,λlnλ-λ+1>0. lnλ 1 设 g(λ)=lnλ-λ+1,h(λ)=λlnλ-λ+1(λ>1),则 g′(λ)= -1<0,h′(λ)=lnλ>0, λ 所以函数 g(λ)=lnλ-λ+1(λ>1)为减函数,函数 h(λ)=λlnλ-λ+1(λ>1)为增函数. 所以 g(λ)<g(1)=0,h(λ)>h(1)=0. λ-1 λ-1 所以 1< <λ,从而 0<logλ <1,所以 0<x0<m+1. lnλ lnλ 因为在(0,x0)上 f′(x)>0,函数 f(x)在(0,x0)上是增函数; 因为在(x0,m+1)上 f′(x)<0,函数 f(x)在(x0,m+1)上是减函数. 所以 f(x)>min{f(0),f(m+1)}=0. 所以 an>bn(n∈N*,n≤m). 同理,当 0<λ<1 时,an>bn(n∈N*,n≤m).

x

.... 21. 【选做题】在 A、B、C、D 四小题中只能选做 2 题,每小题 10 分,共计 20 分.请在答卷卡指
leaders drivi ng a vehi cle a cci dent ca use d by roa d accide nts, 1, 1 pe ople kill ed and dire ct economic losse s amounting to more t han 1 00,00 0 yua n. Thir d, hig h efficiency and l ow cost of the bus. Surveys show that, the operati ng costs of taxis for the 820 0/ ... Is a fundame ntal pri ority of the reform, it is a difficult problem that must be solved in t he reform process . Clearl y, the post consumpti on averages t hree years before as a ba se and fine -tuned on the basis of this si ngle pra ctices m ust be impr oved. Improveme nts to adhere to t hree pri nci ples: first, under the ex isting poli cy provi sions a pprove d for publi c servant s ' duty consumpti on sta ndar ds, calibrati on, is not contrary to poli cy. Se cond, a ccordi ng to the l ocal fina nci al situati on a nd people's s ustainabilit y, publi c servant s ' duty consumpti on sta ndar ds approve d, both fina ncial rea ch, a nd people pa ssi ng through. T hird, a ccordi ng to the operational needs of civil serva nts res ponsi ble for aut horize d publi c servant s ' duty consumpti on sta ndar ds, both high a nd low positions, but als o the nature of the w ork and the w orkloa d. 。 动 活 的 常 正 行 进 对 收 验 量 质 施 各 和 纸 图 计 据 根 度 制 作 关 有 司 公 及 则 细 划 、 ” 范 规 设 “ 按 格 严 后 场 现 入 驻 目 项 了 建 组 即 随 , 起 同 合 理 监 立 订 自 程 工 本 In reform of method S hang, a ppr oved civ il servant s positions consumpti on sta ndar d to "big unified, a nd small dispersed" s uitable , that most positi ons consum ption proj ect s hould a ccording t o poli cy pr ovides propos ed unified sta ndar d, consi der to rank s, and units and the w ork task of difference s sex, unified of standard shoul d has el astic of and dy namic of, makes regions, a nd units i n implementati on unified sta ndar d Shi has must of flexible dis pos al right; but si nce s et of standar d must after financial, a nd audit, se ctor a udit a pprove d Hou to impleme ntation. (C) reform package. Publi c serva nts ' duty cons umption elasti city of cons umption to limit cons umption, tur ning mess i nto kitchen after di nne r, follow the civ il servant wit h a how to use per sonal title subsi dies, or how to manage a personal duty cons umption u se of subsi dies. T herefore, w e must establi sh a nd perfect with public s ervants ' duty consum ption m onetizati on reform s upport of the s eries of gover nance systems such as the civil s ervice examinati on of responsi bilit y, system, low fault i nvestigation system, the re port sai d. While other measures to kee p up. Discipli ne inspe ction and supervisi on organs, financial, auditing departme nts shoul d strengt hen s upervision and inspe ction of publi c servants ' duty consumpti on monetization reform progre ss, to stre ngthe n the reform of publi c servants ' duty consumpti on monetizati on system, meas ures to develop and monit or the impleme ntation of ins pecti on, not consumpti on a s required, eve n shifting consumer behavi or to stop, seri ous cas es to deal with. T hree i deas, public s ervants ' duty cons umption moneti zation reform of politics, the e conomy and the dee peni ng of the reform, public servants ' duty cons umption as s omewhere betwe en a reform als o demonstrated its importance and urge ncy. First of all, civ il servant s especially party and Gover nment leaders and publi c servant s ' duty consumpti on there are big dra wba cks. NPC deputies a nd CPPCC member s and the br oad mass es are concerne d about. Se condly, the

数学附加题
9 页(共 4 页)

2014.05

高三数学试卷第

positi on-related cons umption of civil serva nts has been swe pt by fina nce, consumer, regardle ss of cost, extravagance a nd waste i n the civil service position-rel ated consumpti on, abuse, corr upti on a nd embez zlement, corr upti on i s important. T hen, under t he conditions of market economy, how to reform the existi ng civil duty cons umption manageme nt, expl ores a source t o preve nt and curb the post cons umption corruption way, is currently a major i ssue faced by honest w ork. Recently, I conducted research on this is sue , this problem on s ome humble opini ons . First, t he existing public servants ' duty cons umption the main probl ems se en from the investigati on a nd rea sons, i n recent years , publi c serva nts ' duty consumpti on caused by the abuses and not a person of i ntegrity, is one of the major problems i n the party in Gover nment, it s operation or der have a negativ e effect on t he party and Gov ernment organs , seri ously damagi ng the image of the party and the G overnment, undermini ng the relations hip betwee n party a nd the mas ses, effect, openi ng up and e conomi c constructi on. From I County i n rece nt years of gover nance sit uation see , positions consumpti on i n the produced of "two not" p henomenon re nderi ng four a feature s: a is positions cons umpti on system l ost ha s due of bi ndi ng, right is greater t han r ules, a nd rig ht is greater tha n method of phe nom enon more hig hlight; II is i n positions consum ption in the Camera Obs cura operation, using terms, will positi ons cons umption into has pers onal consum ption, will corporate p oints to into pers onal poi nts to, makes positi ons cons umption in some as pe cts ha s into positions enjoy and self -deali ng of means; thre e is to positions consumpti on for name, fraud, false im pers onator, Trend of negative corruption phenomena such as corr upti on a nd misa ppr opriati on; four pala ces, foll ow the fashi on, rivalrie s, wasteful, a nd post cons umption be came a symbol of s howi ng off their individual capa cities . Caused by public servants ' duty consumpti on of many "two" phe nome non in w hich people reflect th e biggest probl ems are: (a) the official car pr oblems . Mai nly in thre e as pects : one is the larger buses cost expenditure. A ccor ding to statistics, until November 2003 , XX County tow ns hip D epartment bus 1 59 cars , whi ch department owns the bus 1 45 vehi cles, a nd showed a n increasing tre nd. F ina ncial ex penses cost per bus per year to 3 5,000 y uan, a nd i n fact every cost up t o 50,00 0 yua n. Some units al so hiri ng temporary driv ers and expe nditure on wage s and subsi dies. Nece ssary to "kee p a car", but also "depe nda nts", leadi ng to larger expe nses . Second, gong che siyong breed unhealthy tende ncie s. Some people beli eve that now s ome bus drivers use one -thir d, one-t hird lea ding private one -thir d use d for official purposes . Some publi c serva nts, es pecia lly leadi ng officials m ot oring, cars for private purposes , violating t he self-dis cipli ne regulati ons, and even lea d to traffic acci dent s. Accordi ng to statisti cs from related de partments , since 200 4, the corre ct investigation in our County serves nearly 30 cars for private purpose s, only the first half of this yea r, cars for private pur poses or

.... 定区域内作答.解答应写出文字说明、证明过程或演算步骤. A.选修 4—1:几何证明选讲 已知圆 O 的内接△ABC 中,D 为 BC 上一点,且△ADC 为正三角形,点 E 为 BC 的延长线上一 点,AE 为圆 O 的切线,求证:CD2=BD·EC.
O · A

B

D

C

E

证:因为 AE 为圆 O 的切线,所以∠ABD=∠CAE. 因为△ACD 为等边三角形,所以∠ADC=∠ACD, 所以∠ADB=∠ECA,所以△ABD∽△EAC. AD EC 所以 = ,即 AD·CA=BD·EC. BD CA 因为△ACD 为等边三角形,所以 AD=AC=CD, 所以 CD2=BD·EC. B.选修 4—2:矩阵与变换

(第 21 题 A 图)

?a k ? (k≠0)的一个特征向量为 α=? k ?,A 的逆矩阵 A-1 对应的变换将点 已知矩阵 A=? ? ?-1? ?0 1?
(3,1)变为点(1,1).求实数 a,k 的值. 解:设特征向量为 α=

? k ?对应的特征值为 λ, ?-1?

ak-k=λk, ?a k ? ? k ?=λ? k ?,即? ? 则? ? ?0 1? ?-1? ?-1? ? λ=1. 因为 k≠0,所以 a=2. 1 1 3 ?2 k ? ?1?=?3?, - 3 因为 A 1? ?=? ?,所以 A? ?=? ?,即? ? ?1? ?1? ?1? ?1? ?0 1? ?1? ?1? 所以 2+k=3,解得 k=1. 综上,a=2,k=1. C.选修 4—4:坐标系与参数方程 x2 y2 在*面直角坐标系 xOy 中,已知 M 是椭圆 + =1 上在第一象限的点,A(2,0),B(0,2 3) 4 12 是椭圆两个顶点,求四边形 OAMB 的面积的最大值. π 解:设 M(2cosθ,2 3sinθ),θ∈(0, ). 2 由题知 OA=2,OB=2 3, 1 1 所以四边形 OAMB 的面积 S= ×OA×2 3sinθ+ ×OB×2cosθ 2 2
leaders drivi ng a vehi cle a cci dent ca use d by roa d accide nts, 1, 1 pe ople kill ed and dire ct economic losse s amounting to more t han 1 00,00 0 yua n. Thir d, hig h efficiency and l ow cost of the bus. Surveys show that, the operati ng costs of taxis for the 820 0/... Is a fundame ntal pri ority of the reform, it is a difficult problem that must be solved in t he reform process . Clearl y, the post consumpti on averages t hree years before as a ba se and fine -tuned on the basis of this si ngle pra ctices m ust be impr oved. Improveme nts to adhere to t hree pri nci ples: first, under the existing poli cy provi sions a pprove d for publi c servant s ' duty consumpti on sta ndar ds, calibrati on, is not contrary to poli cy. Se cond, a ccordi ng to the l ocal fina nci al situati on a nd people's s ustainabilit y, publi c servant s ' duty consumpti on sta ndar ds approve d, both fina ncial rea ch, a nd people pa ssi ng through. T hird, a ccordi ng to the operational needs of civil serva nts res ponsi ble for aut horize d publi c servant s ' duty consumpti on sta ndar ds, both high a nd low positions, but als o the nature of the w ork and the w orkloa d. 。 动 活 的 常 正 行 进 对 收 验 量 质 施 各 和 纸 图 计 据 根 度 制 作 关 有 司 公 及 则 细 划 ”、 范 规 “设 按 格 严 后 场 现 入 驻 目 项 了 建 组 即 随 , 起 同 合 理 监 立 订 自 程 工 本 In reform of method S hang, a ppr oved civ il servant s positions consumpti on sta ndar d to "big unified, a nd small dispersed" s uitable , that most positi ons consum ption proj ect s hould a ccording t o poli cy pr ovides propos ed unified sta ndar d, consi der to rank s, and units and the w ork task of difference s sex, unified of standard shoul d has el astic of and dy namic of, makes regions, a nd units i n implementati on unified sta ndar d Shi has must of flexible dis pos al right; but si nce s et of standar d must after financial, a nd audit, se ctor a udit a pprove d Hou to impleme ntation. (C) reform package. Publi c serv a nts ' duty cons umption elasti city of cons umption to limit cons umption, tur ning mess i nto kitchen after di nne r, follow the ci v il servant wit h a how to use per sonal title subsi dies, or how to manage a personal duty cons umption use of subsi dies. T herefore, w e must establi sh a nd perfect with public s ervants ' duty consum ption m onetizati on reform s upport of the s eries of gover nance systems such as the civil s ervice examinati on of responsi bilit y, system, low fault i nvestigation system, the re port sai d. While other

measures to kee p up.

Discipli ne inspe ction and supervisi on organs, financial, auditing departme nts shoul d strengt hen s upervision and inspe ction of publi c servants ' duty consumpti on monetization reform progre ss, to stre ngthe n the reform of publi c servants ' duty consumpti on monetizati on system, meas ures to develop and monit or the impleme ntation of ins pecti on, not consumpti on a s required, eve n shifting consumer behavi or to stop, seri ous cas es to deal with. T hree i deas, public s ervants ' duty cons umptio n moneti zation reform of politics, the e conomy and the dee peni ng of the reform, public servants ' duty cons umption as s omewhere betwe en a reform als o demonstrated its importance and urge ncy. First of all, civ il servant s especially party and Gover nment lead ers and publi c servant s ' duty consumpti on there are big dra wba cks. NPC deputies a nd CPPCC member s and the br oad mass es are c oncerne d about. Se condly, the

10

positi on-related cons umption of civil serva nts has been swe pt by fina nce, consumer, regardle ss of cost, extravagance a nd waste i n the civil service position-rel ated consumpti on, abuse, corr upti on a nd embez zlement, corr upti on i s important. T hen, under t he conditions of market economy, how to reform the existi ng civil duty cons umption manageme nt, expl ores a source t o preve nt and curb the post cons umption corruption way, is currently a major i ssue faced by honest w ork. Recently, I conducted research on this is sue , this problem on s ome humble opini ons . First, t he existing public servants ' dut y cons umption the main probl ems se en from the investigati on a nd rea sons, i n recent years , publi c serva nts ' duty consumpti on caused by the abuses and not a person of i ntegrity, is one of the major problems i n the party in Gov er nment, it s operation or der have a negativ e effect on t he party and Gov ernment organs , seri ously damagi ng the image of the party and the G overnment, undermini ng the relations hip betwee n party a nd the mas ses, effect, openi ng up and e conomi c constructi on. From I County i n rece nt years of gover nance sit uation see , positions consumpti on i n the produced of "two not" p henomenon re nderi ng four a feature s: a is positions cons umpti on system l ost ha s due of bi ndi ng, right is greater t han r ules, a nd rig ht is greater tha n method of phe nom enon more hig hlight; II is i n positions consum ption in the Camera Obs cura operation, using terms, will p ositi ons cons umption into has pers onal consum ption, will corporate points to into pers onal poi nts to, makes positi ons cons umption in some as pe cts ha s into positions enjoy and self-deali ng of means; thre e is to positions consumpti on for name, fraud, false im pers onator, Trend of negative corruption phenomena such as corr upti on a nd misa ppr opriati on; four pala ces, foll ow the fashi on, rivalrie s, wasteful, a nd post cons umption be came a symbol of s howi ng off their individual capa cities . Caused by public servants ' duty consumpti on of many "two" phe nome non in w hich people reflect the biggest probl ems are: (a) the official car pr oblems . Mai nly in thre e as pects : one is the larger buses cost expenditure. A ccor ding to statistics, until November 2003 , XX County tow ns hip D epartment bus 1 59 cars , whi ch department owns the bus 1 45 vehi cles, a nd showed a n increasing tre nd. F ina ncial ex penses cost per bu s per year to 3 5,000 y uan, a nd i n fact every cost up t o 50,00 0 yua n. Some units al so hiri ng temporary driv ers and expe nditure on wage s and subsi dies. Nece ssary to "kee p a car", but also "depe nda nts", leadi ng to larger expe nses . Second, gong che siyong breed unhealthy tende ncie s. Some people beli eve that now s ome bus drivers use one -thir d, one-t hird lea ding private one -thir d use d for official purposes . Some publi c serva nts, es pecia lly leadi ng officials mot oring, cars for private purposes , violating t he self -dis cipli ne regulati ons, and even lea d to traffic acci dent s. Accordi ng to statisti cs from related de partments , since 200 4, the corre ct investigation in our County serves nearly 30 cars for private purpose s, only the first half of this yea r, cars for private pur poses or

π =2 3sinθ+2 3cosθ=2 6sin(θ+ ). 4 π 所以当 θ= 时,四边形 OAMB 的面积的最大值为 2 6. 4 D.选修 4—5:不等式选讲 已知 a,b,c∈R,a2+2b2+3c2=6,求 a+b+c 的最大值. 解:由柯西不等式,得[a2+( 2b)2+( 3c)2][12+( 因为 a2+2b2+3c2=6,所以(a+b+c)2≤11, 所以- 11≤a+b+c≤ 11. 6 11 所以 a+b+c 的最大值为 11,当且仅当 a=2b=3c= . 11 ........ 【必做题】第 22 题、第 23 题,每题 10 分,共计 20 分.请在答卷卡指定区域内作答.解答应写出 文字说明、证明过程或演算步骤. 22. (本小题满分 10 分) 1 如图,在正四棱锥 P-ABCD 中,PA=AB= 2,点 M,N 分别在线段 PA 和 BD 上,BN= BD. 3 1 (1)若 PM= PA,求证:MN⊥AD; 3 π (2)若二面角 M-BD-A 的大小为 ,求线段 MN 的长度. 4
P

1 2 1 ) +( )2]≥(a+b+c)2. 2 3



D A

C N · B (第 22 题图)

证明:连接 AC,BD 交于点 O,以 OA 为 x 轴正方向,以 OB 为 y 轴正方向,OP 为 z 轴建立空 间直角坐标系. 因为 PA=AB= 2,则 A(1,0,0),B(0,1,0),D(0,-1,0),P(0,0,1). 1 1 2 → 1→ → 1→ (1)由 BN = BD ,得 N(0, ,0),由 PM = PA ,得 M( ,0, ), 3 3 3 3 3 1 1 2 → → 所以 MN =(- , ,- ), AD =(-1,-1,0). 3 3 3 → → 因为 MN · AD =0.所以 MN⊥AD.
leaders drivi ng a vehi cle a cci dent ca use d by roa d accide nts, 1, 1 pe ople kill ed and dire ct economic losse s amounting to more t han 1 00,00 0 yua n. Thir d, hig h efficiency and l ow cost of the bus. Surveys show that, the operati ng costs of taxis for the 820 0/ ... Is a fundame ntal pri ority of the reform, it is a difficult problem that must be solved in t he reform process . Clearl y, the post consumpti on averages t hree years before as a ba se and fine -tuned on the basis of this si ngle pra ctices m ust be impr oved. Improveme nts to adhere to t hree pri nci ples: first, under the ex isting poli cy provi sions a pprove d for publi c servant s ' duty consumpti on sta ndar ds, calibrati on, is not contrary to poli cy. Se cond, a ccordi ng to the l ocal fina nci al situati on a nd people's s ustainabilit y, publi c servant s ' duty consumpti on sta ndar ds approve d, both fina ncial rea ch, a nd people pa ssi ng through. T hird, a ccordi ng to the operational needs of civil serva nts res ponsi ble for aut horize d publi c servant s ' duty consumpti on sta ndar ds, both high a nd low positions, but als o the nature of the w ork and the w orkloa d. 。 动 活 的 常 正 行 进 对 收 验 量 质 施 各 和 纸 图 计 据 根 度 制 作 关 有 司 公 及 则 细 划 、 ” 范 规 设 “ 按 格 严 后 场 现 入 驻 目 项 了 建 组 即 随 , 起 同 合 理 监 立 订 自 程 工 本 In reform of method S hang, a ppr oved civ il servant s positions consumpti on sta ndar d to "big unified, a nd small dispersed" s uitable , that most positi ons consum ption proj ect s hould a ccording t o poli cy pr ovides propos ed unified sta ndar d, consi der to rank s, and units and the w ork task of difference s sex, unified of standard shoul d has el astic of and dy namic of, makes regions, a nd units i n implementati on unified sta ndar d Shi has must of flexible dis pos al right; but si nce s et of standar d must after financial, a nd audit, se ctor a udit a pprove d Hou to impleme ntation. (C) reform package. Publi c serva nts ' duty cons umption elasti city of cons umption to limit cons umption, tur ning mess i nto kitchen after di nne r, follow the civ il servant wit h a how to use per sonal title subsi dies, or how to manage a personal duty cons umption u se of subsi dies. T herefore, w e must establi sh a nd perfect with public s ervants ' duty consum ption m onetizati on reform s upport of the s eries of gover nance systems such as the civil s ervice examinati on of responsi bilit y, system, low fault i nvestigation system, the re port sai d. While other

measures to kee p up.

Discipli ne inspe ction and supervisi on organs, financial, auditing departme nts shoul d strengt hen s upervision and inspe ction of publi c servants ' duty consumpti on monetization reform progre ss, to stre ngthe n the reform of publi c servants ' duty consumpti on monetizati on system, meas ures to develop and monit or the impleme ntation of ins pecti on, not consumpti on a s required, eve n shifting consumer behavi or to stop, seri ous cas es to deal with. T hree i deas, public s ervants ' duty cons umption moneti zation reform of politics, the e conomy and the dee peni ng of the reform, public servants ' duty cons umption as s omewhere betwe en a reform als o demonstrated its importance and urge ncy. First of all, civ il servant s especially party and Gover nment leaders and publi c servant s ' duty consumpti on there are big dra wba cks. NPC deputies a nd CPPCC member s and the br oad mass es are concerne d about. Se condly, the

高三数学试卷第

11 页(共 4 页)

positi on-related cons umption of civil serva nts has been swe pt by fina nce, consumer, regardle ss of cost, extravagance a nd waste i n the civil service position-rel ated consumpti on, abuse, corr upti on a nd embez zlement, corr upti on i s important. T hen, under t he conditions of market economy, how to reform the existi ng civil duty cons umption manageme nt, expl ores a source t o preve nt and curb the post cons umption corruption way, is currently a major i ssue faced by honest w ork. Recently, I conducted research on this is sue , this problem on s ome humble opini ons . First, t he existing public servants ' duty cons umption the main probl ems se en from the investigati on a nd rea sons, i n recent years , publi c serva nts ' duty consumpti on caused by the abuses and not a person of i ntegrity, is one of the major problems i n the party in Gover nment, it s operation or der have a negativ e effect on t he party and Gov ernment organs , seri ously damagi ng the image of the party and the G overnment, undermini ng the relations hip betwee n party a nd the mas ses, effect, openi ng up and e conomi c constructi on. From I County i n rece nt years of gover nance sit uation see , positions consumpti on i n the produced of "two not" p henomenon re nderi ng four a feature s: a is positions cons umpti on system l ost ha s due of bi ndi ng, right is greater t han r ules, a nd rig ht is greater tha n method of phe nom enon more hig hlight; II is i n positions consum ption in the Camera Obs cura operation, using terms, will positi ons cons umption into has pers onal consum ption, will corporate p oints to into pers onal poi nts to, makes positi ons cons umption in some as pe cts ha s into positions enjoy and self -deali ng of means; thre e is to positions consumpti on for name, fraud, false im pers onator, Trend of negative corruption phenomena such as corr upti on a nd misa ppr opriati on; four pala ces, foll ow the fashi on, rivalrie s, wasteful, a nd post cons umption be came a symbol of s howi ng off their individual capa cities . Caused by public servants ' duty consumpti on of many "two" phe nome non in w hich people reflect th e biggest probl ems are: (a) the official car pr oblems . Mai nly in thre e as pects : one is the larger buses cost expenditure. A ccor ding to statistics, until November 2003 , XX County tow ns hip D epartment bus 1 59 cars , whi ch department owns the bus 1 45 vehi cles, a nd showed a n increasing tre nd. F ina ncial ex penses cost per bus per year to 3 5,000 y uan, a nd i n fact every cost up t o 50,00 0 yua n. Some units al so hiri ng temporary driv ers and expe nditure on wage s and subsi dies. Nece ssary to "kee p a car", but also "depe nda nts", leadi ng to larger expe nses . Second, gong che siyong breed unhealthy tende ncie s. Some people beli eve that now s ome bus drivers use one -thir d, one-t hird lea ding private one -thir d use d for official purposes . Some publi c serva nts, es pecia lly leadi ng officials m ot oring, cars for private purposes , violating t he self-dis cipli ne regulati ons, and even lea d to traffic acci dent s. Accordi ng to statisti cs from related de partments , since 200 4, the corre ct investigation in our County serves nearly 30 cars for private purpose s, only the first half of this yea r, cars for private pur poses or

→ → (2)因为 M 在 PA 上,可设 PM =λ PA ,得 M(λ,0,1-λ). → → 所以 BM =(λ,-1,1-λ), BD =(0,-2,0). 设*面 MBD 的法向量 n=(x,y,z),

?n· → ? BD =0, ?-2y=0, 由? 得? → ?n· BM =0, ?λx-y+(1-λ)z=0, ?
其中一组解为 x=λ-1,y=0,z=λ,所以可取 n=(λ-1,0,λ). → 因为*面 ABD 的法向量为 OP =(0,0,1), → π n· OP 2 λ 1 所以 cos = ,即 = ,解得 λ= , 2 2 4 2 2 → (λ-1) +λ |n|| OP |

|

|

1 1 1 从而 M( ,0, ),N(0, ,0), 2 2 3 所以 MN= 1 1 1 22 ( -0)2+(0- )2+( -0)2= . 2 3 2 6

23. (本小题满分 10 分) 已知非空有限实数集 S 的所有非空子集依次记为 S1,S2,S3,……,集合 Sk 中所有元素的*均 值记为 bk.将所有 bk 组成数组 T:b1,b2,b3,……,数组 T 中所有数的*均值记为 m(T). (1)若 S={1,2},求 m(T); (2)若 S={a1,a2,…,an}(n∈N*,n≥2) ,求 m(T). 解: (1)S={1,2}的所有非空子集为:{1},{2},{1,2},错误!未指定书签。所以数组 T 为:1,2, 3 . 2 3 1+2+ 2 3 因此 m(T)= = . 3 2 (2)因为 S={a1,a2,…, an},n∈N*,n≥2,
1 2 n-1 1) ?ai+( Cn-1) ?ai+…+( Cn-1) ?ai ?ai+(2Cn- 3 n

n

1

n

1
2 n

n

1

n

i=1

i=1

i=1

i=1

所以 m(T)=

C +C +C +…+C

1 n

3 n

n n

1 1 1 2 1 n-1 1+ Cn- 1+ Cn-1+…+ Cn-1 n 2 3 n = ai . ? 1 2 3 n Cn+Cn+Cn+…+Cn i=1 (n-1)! (n-1)! 1 k -1 1 1 n! 1 k 又因为 Cn -1= · = = · = Cn , k k (k-1) ! (n-k) ! k ! (n-k) ! n (n-k) ! k! n

leaders drivi ng a vehi cle a cci dent ca use d by roa d accide nts, 1, 1 pe ople kill ed and dire ct economic losse s amounting to more t han 1 00,00 0 yua n. Thir d, hig h efficiency and l ow cost of the bus. Surveys show that, the operati ng costs of taxis for the 820 0/... Is a fundame ntal pri ority of the reform, it is a difficult problem that must be solved in t he reform process . Clearl y, the post consumpti on averages t hree years before as a ba se and fine -tuned on the basis of this si ngle pra ctices m ust be impr oved. Improveme nts to adhere to t hree pri nci ples: first, under the existing poli cy provi sions a pprove d for publi c servant s ' duty consumpti on sta ndar ds, calibrati on, is not contrary to poli cy. Se cond, a ccordi ng to the l ocal fina nci al situati on a nd people's s ustainabilit y, publi c servant s ' duty consumpti on sta ndar ds approve d, both fina ncial rea ch, a nd people pa ssi ng through. T hird, a ccordi ng to the operational needs of civil serva nts res ponsi ble for aut horize d publi c servant s ' duty consumpti on sta ndar ds, both high a nd low positions, but als o the nature of the w ork and the w orkloa d. 。 动 活 的 常 正 行 进 对 收 验 量 质 施 各 和 纸 图 计 据 根 度 制 作 关 有 司 公 及 则 细 划 ”、 范 规 “设 按 格 严 后 场 现 入 驻 目 项 了 建 组 即 随 , 起 同 合 理 监 立 订 自 程 工 本

In reform of

method S hang, a ppr oved civ il servant s positions consumpti on sta ndar d to "big unified, a nd small dispersed" s uitable , that most positi ons consum ption proj ect s hould a ccording t o poli cy pr ovides propos ed unified sta ndar d, consi der to rank s, and units and the w ork task of difference s sex, unified of standard shoul d has el astic of and dy namic of, makes regions, a nd units i n implementati on unified sta ndar d Shi has must of flexible dis pos al right; but si nce s et of standar d must after financial, a nd audit, se ctor a udit a pprove d Hou to impleme ntation. (C) reform package. Publi c serv a nts ' duty cons umption elasti city of cons umption to limit cons umption, tur ning mess i nto kitchen after di nne r, follow the ci v il servant wit h a how to use per sonal title subsi dies, or how to manage a personal duty cons umption use of subsi dies. T herefore, w e must establi sh a nd perfect with public s ervants ' duty consum ption m onetizati on reform s upport of the s eries of gover nance systems such as the civil s ervice examinati on of responsi bilit y, system, low fault i nvestigation system, the re port sai d. While other

measures to kee p up.

Discipli ne inspe ction and supervisi on organs, financial, auditing departme nts shoul d strengt hen s upervision and inspe ction of publi c servants ' duty consumpti on monetization reform progre ss, to stre ngthe n the reform of publi c servants ' duty consumpti on monetizati on system, meas ures to develop and monit or the impleme ntation of ins pecti on, not consumpti on a s required, eve n shifting consumer behavi or to stop, seri ous cas es to deal with. T hree i deas, public s ervants ' duty cons umptio n moneti zation reform of politics, the e conomy and the dee peni ng of the reform, public servants ' duty cons umption as s omewhere betwe en a reform als o demonstrated its importance and urge ncy. First of all, civ il servant s especially party and Gover nment lead ers and publi c servant s ' duty consumpti on there are big dra wba cks. NPC deputies a nd CPPCC member s and the br oad mass es are c oncerne d about. Se condly, the

12

positi on-related cons umption of civil serva nts has been swe pt by fina nce, consumer, regardle ss of cost, extravagance a nd waste i n the civil service position-rel ated consumpti on, abuse, corr upti on a nd embez zlement, corr upti on i s important. T hen, under t he conditions of market economy, how to reform the existi ng civil duty cons umption manageme nt, expl ores a source t o preve nt and curb the post cons umption corruption way, is currently a major i ssue faced by honest w ork. Recently, I conducted research on this is sue , this problem on s ome humble opini ons . First, t he existing public servants ' dut y cons umption the main probl ems se en from the investigati on a nd rea sons, i n recent years , publi c serva nts ' duty consumpti on caused by the abuses and not a person of i ntegrity, is one of the major problems i n the party in Gov er nment, it s operation or der have a negativ e effect on t he party and Gov ernment organs , seri ously damagi ng the image of the party and the G overnment, undermini ng the relations hip betwee n party a nd the mas ses, effect, openi ng up and e conomi c constructi on. From I County i n rece nt years of gover nance sit uation see , positions consumpti on i n the produced of "two not" p henomenon re nderi ng four a feature s: a is positions cons umpti on system l ost ha s due of bi ndi ng, right is greater t han r ules, a nd rig ht is greater tha n method of phe nom enon more hig hlight; II is i n positions consum ption in the Camera Obs cura operation, using terms, will p ositi ons cons umption into has pers onal consum ption, will corporate points to into pers onal poi nts to, makes positi ons cons umption in some as pe cts ha s into positions enjoy and self-deali ng of means; thre e is to positions consumpti on for name, fraud, false im pers onator, Trend of negative corruption phenomena such as corr upti on a nd misa ppr opriati on; four pala ces, foll ow the fashi on, rivalrie s, wasteful, a nd post cons umption be came a symbol of s howi ng off their individual capa cities . Caused by public servants ' duty consumpti on of many "two" phe nome non in w hich people reflect the biggest probl ems are: (a) the official car pr oblems . Mai nly in thre e as pects : one is the larger buses cost expenditure. A ccor ding to statistics, until November 2003 , XX County tow ns hip D epartment bus 1 59 cars , whi ch department owns the bus 1 45 vehi cles, a nd showed a n increasing tre nd. F ina ncial ex penses cost per bu s per year to 3 5,000 y uan, a nd i n fact every cost up t o 50,00 0 yua n. Some units al so hiri ng temporary driv ers and expe nditure on wage s and subsi dies. Nece ssary to "kee p a car", but also "depe nda nts", leadi ng to larger expe nses . Second, gong che siyong breed unhealthy tende ncie s. Some people beli eve that now s ome bus drivers use one -thir d, one-t hird lea ding private one -thir d use d for official purposes . Some publi c serva nts, es pecia lly leadi ng officials mot oring, cars for private purposes , violating t he self -dis cipli ne regulati ons, and even lea d to traffic acci dent s. Accordi ng to statisti cs from related de partments , since 200 4, the corre ct investigation in our County serves nearly 30 cars for private purpose s, only the first half of this yea r, cars for private pur poses or

1 1 1 2 1 3 1 Cn+ Cn+ Cn+…+ Cn n n n n n n 1n 所以 m(T)= ai= ?ai. ? 1 2 3 n ni=1 Cn+Cn+Cn+…+Cn i=1

leaders drivi ng a vehi cle a cci dent ca use d by roa d accide nts, 1, 1 pe ople kill ed and dire ct economic losse s amounting to more t han 1 00,00 0 yua n. Thir d, hig h efficiency and l ow cost of the bus. Surveys show that, the operati ng costs of taxis for the 820 0/ ... Is a fundame ntal pri ority of the reform, it is a difficult problem that must be solved in t he reform process . Clearl y, the post consumpti on averages t hree years before as a ba se and fine -tuned on the basis of this si ngle pra ctices m ust be impr oved. Improveme nts to adhere to t hree pri nci ples: first, under the ex isting poli cy provi sions a pprove d for publi c servant s ' duty consumpti on sta ndar ds, calibrati on, is not contrary to poli cy. Se cond, a ccordi ng to the l ocal fina nci al situati on a nd people's s ustainabilit y, publi c servant s ' duty consumpti on sta ndar ds approve d, both fina ncial rea ch, a nd people pa ssi ng through. T hird, a ccordi ng to the operational needs of civil serva nts res ponsi ble for aut horize d publi c servant s ' duty consumpti on sta ndar ds, both high a nd low positions, but als o the nature of the w ork and the w orkloa d. 。 动 活 的 常 正 行 进 对 收 验 量 质 施 各 和 纸 图 计 据 根 度 制 作 关 有 司 公 及 则 细 划 、 ” 范 规 设 “ 按 格 严 后 场 现 入 驻 目 项 了 建 组 即 随 , 起 同 合 理 监 立 订 自 程 工 本

In reform of

method S hang, a ppr oved civ il servant s positions consumpti on sta ndar d to "big unified, a nd small dispersed" s uitable , that most positi ons consum ption proj ect s hould a ccording t o poli cy pr ovides propos ed unified sta ndar d, consi der to rank s, and units and the w ork task of difference s sex, unified of standard shoul d has el astic of and dy namic of, makes regions, a nd units i n implementati on unified sta ndar d Shi has must of flexible dis pos al right; but si nce s et of standar d must after financial, a nd audit, se ctor a udit a pprove d Hou to impleme ntation. (C) reform package. Publi c serva nts ' duty cons umption elasti city of cons umption to limit cons umption, tur ning mess i nto kitchen after di nne r, follow the civ il servant wit h a how to use per sonal title subsi dies, or how to manage a personal duty cons umption u se of subsi dies. T herefore, w e must establi sh a nd perfect with public s ervants ' duty consum ption m onetizati on reform s upport of the s eries of gover nance systems such as the civil s ervice examinati on of responsi bilit y, system, low fault i nvestigation system, the re port sai d. While other

measures to kee p up.

Discipli ne inspe ction and supervisi on organs, financial, auditing departme nts shoul d strengt hen s upervision and inspe ction of publi c servants ' duty consumpti on monetization reform progre ss, to stre ngthe n the reform of publi c servants ' duty consumpti on monetizati on system, meas ures to develop and monit or the impleme ntation of ins pecti on, not consumpti on a s required, eve n shifting consumer behavi or to stop, seri ous cas es to deal with. T hree i deas, public s ervants ' duty cons umption moneti zation reform of politics, the e conomy and the dee peni ng of the reform, public servants ' duty cons umption as s omewhere betwe en a reform als o demonstrated its importance and urge ncy. First of all, civ il servant s especially party and Gover nment leaders and publi c servant s ' duty consumpti on there are big dra wba cks. NPC deputies a nd CPPCC member s and the br oad mass es are concerne d about. Se condly, the

高三数学试卷第

13 页(共 4 页)


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