2010年全国高考理科数学试题及答案-新课标(更正版)

position-related consumption of civil servants has been swept by finance, consumer, regardless of cost, extravagance and waste in the civil service position-related consumption, abuse, corruption and embezzlement, corruption is important. Then, under the conditions of market economy, how to reform the existing civil duty consumption management, explores a source to prevent and curb the post consumption corruption way, is currently a major issue faced by honest work. Recently, I conducted research on this issue, this problem on some humble opinions. First, the existing public servants ' duty consumption the main problems seen from the investigation and reasons, in recent years, public servants ' duty consumption caused by the abuses and not a person of integrity, is one of the major problems in the party in Government, its operation order have a negative effect on the party and Government organs, seriously damaging the image of the party and the Government, undermining the relationship between party and the masses, effect, opening up and economic construction. From I County in recent years of governance situation see, positions consumption in the produced of \"two not\" phenomenon rendering four a features: a is positions consumption system lost has due of binding, right is greater than rules, and right is greater than method of phenomenon more highlight; II is in positions consumption in the Camera Obscura operation, using terms, will positions consumption into has personal consumption, will corporate points to into personal points to, makes positions consumption in some aspects has into positions enjoy and self-dealing of means; three is to positions consumption for name, fraud, false impersonator, Trend of negative corruption phenomena such as corruption and misappropriation; four palaces, follow the fashion, rivalries, wasteful, and post consumption became a symbol of showing off their individual capacities. Caused by public servants ' duty consumption of many \"two\" phenomenon in which people reflect the biggest problems are: (a) the official car problems. Mainly in three aspects: one is the larger buses cost expenditure. According to statistics, until November 2003, XX County township Department bus 159 cars, which department owns the bus 145 vehicles, and showed an increasing trend. Financial expenses cost per bus per year to 35,000 yuan, and in fact every cost up to 50,000 yuan. Some units also hiring temporary drivers and expenditure on wages and subsidies. Necessary to \"keep a car\ndants\ng to larger expenses. Second, gongchesiyong breed unhealthy tendencies. Some people believe that now some bus drivers use one-third, one-third leading private one-third used for official purposes. Some public servants, especially leading officials motoring, cars for private purposes, violating the self-discipline regulations, and even lead to traffic accidents. According to statistics from related departments, since 2004, the correct investigation in our County serves nearly 30 cars for private purposes, only the first half of this year, cars for private purposes or2010年普通高等学校招生全国统一考试（理科数学）

一、选择题：本大题共12小题，每小题5分，在每小题给出的四个选项中，只有一项是符合题目要求的.

(1)已知集合A{x|x|≤2,xR},B{x|x≤4,xZ},则AB

(A)(0,2) (B)[0,2] (C){0,2} (D){0,1,2}

(2)已知复数z3i(13i)2，z是z的共轭复数，则zz= A.

14 B.12 (C).1 (D).2

(3)曲线yxx2在点(1,1)处的切线方程为

（A）y2x1 (B) y2x1 (C ) y2x3 (D) y2x2

(4)如图，质点P在半径为2的圆周上逆时针运动，其初始位置为P0(2,2)，角速度为1，那么点P到x轴距离d关于时间t的函数图像大致为

(5)已知命题pxxxx1：函数y22在R为增函数，p2：函数y22在R为减函数，

则在命题q1：p1p2，q2：p1p2，q3：p1p2和q4：p1p2中，真命题是 （A）q1，q3 （B）q2，q3 （C）q1，q4 （D）q2，q4

(6)某种种子每粒发芽的概率都为0.9，现播种了1000粒，对于没有发芽的种子，每粒需再补种2

eaders driving a vehicle accident caused by road accidents, 1, 1 people killed and direct economic losses amounting to more than 100,000 yuan. Third, high efficiency and low cost of the bus. Surveys show that, the operating costs of taxis for the 8200/... Is a fundamental priority of the reform, it is a difficult problem that must be solved in the reform process. Clearly, the post consumption averages three years before as a base and fine-tuned on the basis of this single practices must be improved. Improvements to adhere to three principles: first, under the existing policy provisions approved for public servants ' duty consumption standards, calibration, is not contrary to policy. Second, according to the local financial situation and people's sustainability, public servants ' duty consumption standards approved, both financial reach, and people passing through. Third, according to the operational needs of civil servants responsible for authorized public servants ' duty consumption standards, both high and low positions, but also the nature of the work and the workload. In reform of method Shang, aDiscipline inspection and supervision organs, financial, auditing departments should strengthen supervision and inspection of public servants ' duty consumption monetization reform progress, to strengthen the reform of public servants ' duty consumption monetization system, measures to develop and monitor the implementation of inspection, not consumption as required, even shifting consumer behavior to stop, serious cases to deal with. Three ideas, public servants ' duty consumption monetization reform of politics, the economy and the deepening of the reform, public servants ' duty consumption as somewhere between a reform also demonstrated its importance and urgency. First of all, civil servants especially party and Government leaders and public servants ' duty consumption there are big drawbacks. NPC deputies and CPPCC members and the broad masses are concerned about. Secondly, the粒，补种的种子数记为X，则X的数学期望为

（A）100 （B）200 （C）300 （D）400 (7)如果执行右面的框图，输入N5，则输出的数等于

开始 （A）

5 （B）445 输入N （C）65 （D）56 k1,S0 (8)偶函数f(x)满足f(x)x38(x≥0)，则{x|f(x2)0}

SS1(A) {x|x2或x4} (B) {x|x0或x4} k(k1) kk1 (C) {x|x0或x6} (D) {x|x2或x2}

kN 是 否 1tan输出S (9)若cos45，是第三象限的角，则2

1tan结束 2(A) 1(B)

12 2 (C) 2

(D) 2

(10)设三棱柱的侧棱垂直于底面，所有棱长都为a，顶点都在一个球面上，则该球的表面积为

(A) a2

(B)

73a2 (C)

113a2 (D) 5a2 |lgx|, 0x≤10,(11)已知函数f(x)1若a,b,c互不相等，且f(a)f(b)f(2x6, x10.c),则abc的

取值范围是

(A) (1,10) (B) (5,6)

(C) (10,12) (D) (20,24)

（12）已知双曲线E的中心为原点，P(3,0)是E的焦点，过F的直线l与E相交于A，B两点，且AB的中点为N(12,15),则E的方程式为

x222222(A) 3y61 (B) x24y51 (C) x26y31 (D) x5y41

d civil servants positions consumption standard to \"big unified, and small dispersed\" suitable, that most positions consumption project should according to policy provides proposed unified standard, consider to ranks, and units and the work task of differences sex, unified of standard should has elastic of and dynamic of, makes regions, and units in implementation unified standard Shi has must of flexible disposal right; but since set of standard must after financial, and audit, sector audit approved Hou to implementation. (C) reform package. Public servants ' duty consumption elasticity of consumption to limit consumption, turning mess into kitchen after dinner, follow the civil servant with a how to use personal title subsidies, or how to manage a personal duty consumption use of subsidies. Therefore, we must establish and perfect with public servants ' duty consumption monetization reform support of the series of governance systems such as the civil service examination of responsibility, system, low fault investigation system, the report said. While other measures to keep up. pproveposition-related consumption of civil servants has been swept by finance, consumer, regardless of cost, extravagance and waste in the civil service position-related consumption, abuse, corruption and embezzlement, corruption is important. Then, under the conditions of market economy, how to reform the existing civil duty consumption management, explores a source to prevent and curb the post consumption corruption way, is currently a major issue faced by honest work. Recently, I conducted research on this issue, this problem on some humble opinions. First, the existing public servants ' duty consumption the main problems seen from the investigation and reasons, in recent years, public servants ' duty consumption caused by the abuses and not a person of integrity, is one of the major problems in the party in Government, its operation order have a negative effect on the party and Government organs, seriously damaging the image of the party and the Government, undermining the relationship between party and the masses, effect, opening up and economic construction. From I County in recent years of governance situation see, positions consumption in the produced of \"two not\" phenomenon rendering four a features: a is positions consumption system lost has due of binding, right is greater than rules, and right is greater than method of phenomenon more highlight; II is in positions consumption in the Camera Obscura operation, using terms, will positions consumption into has personal consumption, will corporate points to into personal points to, makes positions consumption in some aspects has into positions enjoy and self-dealing of means; three is to positions consumption for name, fraud, false impersonator, Trend of negative corruption phenomena such as corruption and misappropriation; four palaces, follow the fashion, rivalries, wasteful, and post consumption became a symbol of showing off their individual capacities. Caused by public servants ' duty consumption of many \"two\" phenomenon in which people reflect the biggest problems are: (a) the official car problems. Mainly in three aspects: one is the larger buses cost expenditure. According to statistics, until November 2003, XX County township Department bus 159 cars, which department owns the bus 145 vehicles, and showed an increasing trend. Financial expenses cost per bus per year to 35,000 yuan, and in fact every cost up to 50,000 yuan. Some units also hiring temporary drivers and expenditure on wages and subsidies. Necessary to \"keep a car\ndants\ng to larger expenses. Second, gongchesiyong breed unhealthy tendencies. Some people believe that now some bus drivers use one-third, one-third leading private one-third used for official purposes. Some public servants, especially leading officials motoring, cars for private purposes, violating the self-discipline regulations, and even lead to traffic accidents. According to statistics from related departments, since 2004, the correct investigation in our County serves nearly 30 cars for private purposes, only the first half of this year, cars for private purposes or二、填空题：本大题共4小题，每小题5分.

（13）设yf(x)为区间[0,1]上的连续函数，且恒有0≤f(x)≤1，可以用随机模拟方法近似计算积分

1f(x)dx，先产生两组（每组N个）区间[0,1]上的均匀随机数x1,x2,…xN和y1,y2,…yN，

0由此得到N个点(xi,yi)(i1,2,…,N)，再数出其中满足yi≤f(xi)(i1,2,…,N)的点数N1，那么由随机模拟方案可得积分

10f(x)dx的近似值为 _______；

（14）正视图为一个三角形的几何体可以是______________________________________（写出三种） （15）过点A(4,1)的圆C与直线x－y－1=0相切于点B（2,1），则圆C的方程为____________________; (16)在△ABC中，D为边BC上一点，BD=12DC，ADB=120°

，AD=2，若△ADC的面积为33，

则BAC=_______

三，解答题：解答应写出文字说明，正明过程和演算步骤

（17）（本小题满分12分）设数列a1n满足a12,an1an322n

（1）求数列an的通项公式； （2）令bnnan，求数列bn的前n项和Sn

(18)（本小题满分12分）如图，已知四棱锥P-ABCD的底面为等腰梯形，AB∥CD, ACBD，垂足为H，PH是四棱锥的高 ，E为AD中点.

（1）证明：PEBC；（2）若APB=ADB=60°，求直线PA与平面PEH所成角的正弦值.

eaders driving a vehicle accident caused by road accidents, 1, 1 people killed and direct economic losses amounting to more than 100,000 yuan. Third, high efficiency and low cost of the bus. Surveys show that, the operating costs of taxis for the 8200/... Is a fundamental priority of the reform, it is a difficult problem that must be solved in the reform process. Clearly, the post consumption averages three years before as a base and fine-tuned on the basis of this single practices must be improved. Improvements to adhere to three principles: first, under the existing policy provisions approved for public servants ' duty consumption standards, calibration, is not contrary to policy. Second, according to the local financial situation and people's sustainability, public servants ' duty consumption standards approved, both financial reach, and people passing through. Third, according to the operational needs of civil servants responsible for authorized public servants ' duty consumption standards, both high and low positions, but also the nature of the work and the workload. In reform of method Shang, a

Discipline inspection and supervision organs, financial, auditing departments should strengthen supervision and inspection of public servants ' duty consumption monetization reform progress, to strengthen the reform of public servants ' duty consumption monetization system, measures to develop and monitor the implementation of inspection, not consumption as required, even shifting consumer behavior to stop, serious cases to deal with. Three ideas, public servants ' duty consumption monetization reform of politics, the economy and the deepening of the reform, public servants ' duty consumption as somewhere between a reform also demonstrated its importance and urgency. First of all, civil servants especially party and Government leaders and public servants ' duty consumption there are big drawbacks. NPC deputies and CPPCC members and the broad masses are concerned about. Secondly, the2

(19)(本小题满分12分)为调查某地区老人是否需要志愿者提供帮助，用简单随机抽样方法从该地区调查了500位老年人，结果如下：

性别 男 女 是否需要自愿者 需要 40 30 不需要 160 270 (1)估计该地区老年人中，需要志愿者提供帮助的老年人的比例；

(2)能否有99％的把握认为该地区的老年人是否需要志愿者提供帮助与性别有关？

(3)根据（2）的结论，能否提供更好的调查方法来估计该地区老年人中，需要志愿帮助的老年人的比例？说明理由.

附：

d civil servants positions consumption standard to \"big unified, and small dispersed\" suitable, that most positions consumption project should according to policy provides proposed unified standard, consider to ranks, and units and the work task of differences sex, unified of standard should has elastic of and dynamic of, makes regions, and units in implementation unified standard Shi has must of flexible disposal right; but since set of standard must after financial, and audit, sector audit approved Hou to implementation. (C) reform package. Public servants ' duty consumption elasticity of consumption to limit consumption, turning mess into kitchen after dinner, follow the civil servant with a how to use personal title subsidies, or how to manage a personal duty consumption use of subsidies. Therefore, we must establish and perfect with public servants ' duty consumption monetization reform support of the series of governance systems such as the civil service examination of responsibility, system, low fault investigation system, the report said. While other measures to keep up. pproveposition-related consumption of civil servants has been swept by finance, consumer, regardless of cost, extravagance and waste in the civil service position-related consumption, abuse, corruption and embezzlement, corruption is important. Then, under the conditions of market economy, how to reform the existing civil duty consumption management, explores a source to prevent and curb the post consumption corruption way, is currently a major issue faced by honest work. Recently, I conducted research on this issue, this problem on some humble opinions. First, the existing public servants ' duty consumption the main problems seen from the investigation and reasons, in recent years, public servants ' duty consumption caused by the abuses and not a person of integrity, is one of the major problems in the party in Government, its operation order have a negative effect on the party and Government organs, seriously damaging the image of the party and the Government, undermining the relationship between party and the masses, effect, opening up and economic construction. From I County in recent years of governance situation see, positions consumption in the produced of \"two not\" phenomenon rendering four a features: a is positions consumption system lost has due of binding, right is greater than rules, and right is greater than method of phenomenon more highlight; II is in positions consumption in the Camera Obscura operation, using terms, will positions consumption into has personal consumption, will corporate points to into personal points to, makes positions consumption in some aspects has into positions enjoy and self-dealing of means; three is to positions consumption for name, fraud, false impersonator, Trend of negative corruption phenomena such as corruption and misappropriation; four palaces, follow the fashion, rivalries, wasteful, and post consumption became a symbol of showing off their individual capacities. Caused by public servants ' duty consumption of many \"two\" phenomenon in which people reflect the biggest problems are: (a) the official car problems. Mainly in three aspects: one is the larger buses cost expenditure. According to statistics, until November 2003, XX County township Department bus 159 cars, which department owns the bus 145 vehicles, and showed an increasing trend. Financial expenses cost per bus per year to 35,000 yuan, and in fact every cost up to 50,000 yuan. Some units also hiring temporary drivers and expenditure on wages and subsidies. Necessary to \"keep a car\ndants\ng to larger expenses. Second, gongchesiyong breed unhealthy tendencies. Some people believe that now some bus drivers use one-third, one-third leading private one-third used for official purposes. Some public servants, especially leading officials motoring, cars for private purposes, violating the self-discipline regulations, and even lead to traffic accidents. According to statistics from related departments, since 2004, the correct investigation in our County serves nearly 30 cars for private purposes, only the first half of this year, cars for private purposes or

（20）（本小题满分12分）

（21）（本小题满分12分） 设函数f(x)ex1xax2. （1）若a0，求f(x)的单调区间； x2y2E相交于设F1,F2分别是椭圆E:221(ab0)的左、右焦点，过F1斜率为1的直线l与

abA,B两点，且AF2,AB,BF2成等差数列。

（1）求E的离心率； （2）设点p(0,1)满足PAPB，求E的方程

eaders driving a vehicle accident caused by road accidents, 1, 1 people killed and direct economic losses amounting to more than 100,000 yuan. Third, high efficiency and low cost of the bus. Surveys show that, the operating costs of taxis for the 8200/... Is a fundamental priority of the reform, it is a difficult problem that must be solved in the reform process. Clearly, the post consumption averages three years before as a base and fine-tuned on the basis of this single practices must be improved. Improvements to adhere to three principles: first, under the existing policy provisions approved for public servants ' duty consumption standards, calibration, is not contrary to policy. Second, according to the local financial situation and people's sustainability, public servants ' duty consumption standards approved, both financial reach, and people passing through. Third, accordi

Discipline inspection and supervision organs, financial, auditing departments should strengthen supervision and inspection of public servants ' duty consumption monetization reform progress, to strengthen the reform of public servants ' duty consumption monetization system, measures to develop and monitor the implementation of inspection, not consumption as required, even shifting consumer behavior to stop, serious cases to deal with. Three ideas, public servants ' duty consumption monetization reform of politics, the economy and the deepening of the reform, public servants ' duty consumption as somewhere between a reform also demonstrated its importance and urgency. First of all, civil servants especially party and Government leaders and public servants ' duty consumption there are big drawbacks. NPC deputies and CPPCC members and the broad masses are concerof civil servants responsible for authorized public servants ' duty consumption standards, both high and low positions, but also the nature of the work and the workload. In reform of method Shang, approved civil he3

2）若当x≥0时f(x)≥0，求a的取值范围

o \"big unified, and small dispersed\" suitable, that most positions consumption project should according to policy provides proposed unified standard, consider to ranks, and units and the work task of differences sex, unified of standard should has elastic of and dynamic of, makes regions, and units in implementation unified standard Shi has must of flexible disposal right; but since set of standard must after financial, and audit, sector audit approved Hou to implementation. (C) reform package. Public servants ' duty consumption elasticity of consumption to limit consumption, turning mess into kitchen after dinner, follow the civil servant with a how to use personal title subsidies, or how to manage a personal duty consumption use of subsidies. Therefore, we must establish and perfect with public servants ' duty consumption monetization reform support of the series of governance systems such as the civil service examination of responsibility, system, low fault investigation system, the report said. While other measures to keep up. （ned about. Secondly, tng to the operational needs servants positions consumption standard tposition-related consumption of civil servants has been swept by finance, consumer, regardless of cost, extravagance and waste in the civil service position-related consumption, abuse, corruption and embezzlement, corruption is important. Then, under the conditions of market economy, how to reform the existing civil duty consumption management, explores a source to prevent and curb the post consumption corruption way, is currently a major issue faced by honest work. Recently, I conducted research on this issue, this problem on some humble opinions. First, the existing public servants ' duty consumption the main problems seen from the investigation and reasons, in recent years, public servants ' duty consumption caused by the abuses and not a person of integrity, is one of the major problems in the party in Government, its operation order have a negative effect on the party and Government organs, seriously damaging the image of the party and the Government, undermining the relationship between party and the masses, effect, opening up and economic construction. From I County in recent years of governance situation see, positions consumption in the produced of \"two not\" phenomenon rendering four a features: a is positions consumption system lost has due of binding, right is greater than rules, and right is greater than method of phenomenon more highlight; II is in positions consumption in the Camera Obscura operation, using terms, will positions consumption into has personal consumption, will corporate points to into personal points to, makes positions consumption in some aspects has into positions enjoy and self-dealing of means; three is to positions consumption for name, fraud, false impersonator, Trend of negative corruption phenomena such as corruption and misappropriation; four palaces, follow the fashion, rivalries, wasteful, and post consumption became a symbol of showing off their individual capacities. Caused by public servants ' duty consumption of many \"two\" phenomenon in which people reflect the biggest problems are: (a) the official car problems. Mainly in three aspects: one is the larger buses cost expenditure. According to statistics, until November 2003, XX County township Department bus 159 cars, which department owns the bus 145 vehicles, and showed an increasing trend. Financial expenses cost per bus per year to 35,000 yuan, and in fact every cost up to 50,000 yuan. Some units also hiring temporary drivers and expenditure on wages and subsidies. Necessary to \"keep a car\ndants\ng to larger expenses. Second, gongchesiyong breed unhealthy tendencies. Some people believe that now some bus drivers use one-third, one-third leading private one-third used for official purposes. Some public servants, especially leading officials motoring, cars for private purposes, violating the self-discipline regulations, and even lead to traffic accidents. According to statistics from related departments, since 2004, the correct investigation in our County serves nearly 30 cars for private purposes, only the first half of this year, cars for private purposes or

请考生在第（22）、（23）、（24）三题中任选一题作答，如果多做，则按所做的第一题记分。做答时用2B铅笔在答题卡上把所选题目的题号涂黑。

（24）（本小题满分10分）选修4-5，不等式选讲 设函数f(x)|2x4|1 （22）（本小题满分10分）选修4-1：几何证明选讲

如图，已经圆上的弧ACBD，过C点的圆切线与BA的延长线交于E点，证明： （Ⅰ）∠ACE=∠BCD； （Ⅱ）BC2=BE×CD.

（23）（本小题满分10分）选修4-4：坐标系与参数方程

已知直线Cx1tcosxcos1：ytsin（t为参数），圆C2：（为参数），

ysin（Ⅰ）当=

3时，求C1与C2

的交点坐标； （Ⅱ）过坐标原点O做C1的垂线，垂足为A，P为OA中点，当变化时，求P点轨迹的参数方程，并指出它是什么曲线.

eaders driving a vehicle accident caused by road accidents, 1, 1 people killed and direct economic losses amounting to more than 100,000 yuan. Third, high efficiency and low cost of the bus. Surveys show that, the operating costs of taxis for the 8200/... Is a fundamental priority of the reform, it is a difficult problem that must be solved in the reform process. Clearly, the post consumption averages three years before as a base and fine-tuned on the basis of this single practices must be improved. Improvements to adhere to three principles: first, under the existing policy provisions approved for public servants ' duty consumption standards, calibration, is not contrary to policy. Second, according to the local financial situation and people's sustainability, public servants ' duty consumption standards approved, both financial reach, and people passing through. Third, according to the operational needs of civil servants responsible for authorized public servants ' duty consumption standards, both high and low positions, but also the nature of the work and the workload. In reform of method Shang, approved civil

Discipline inspection and supervision organs, financial, auditing departments should strengthen supervision and inspection of public servants ' duty consumption monetization reform progress, to strengthen the reform of public servants ' duty consumption monetization system, measures to develop and monitor the implementation of inspection, not consumption as required, even shifting consumer behavior to stop, serious cases to deal with. Three ideas, public servants ' duty consumption monetization reform of politics, the economy and the deepening of the reform, public servants ' duty consumption as somewhere between a reform also demonstrated its importance and urgency. First of all, civil servants especially party and Government leaders and public servants ' duty consumption there are big drawbacks. NPC deputies and CPPCC members and the broad masses are concerned about. Secondly, the4

yf(x)的图像；

f(x)≤ax的解集非空，求a的取值范围.

o \"big unified, and small dispersed\" suitable, that most positions consumption project should according to policy provides proposed unified standard, consider to ranks, and units and the work task of differences sex, unified of standard should has elastic of and dynamic of, makes regions, and units in implementation unified standard Shi has must of flexible disposal right; but since set of standard must after financial, and audit, sector audit approved Hou to implementation. (C) reform package. Public servants ' duty consumption elasticity of consumption to limit consumption, turning mess into kitchen after dinner, follow the civil servant with a how to use personal title subsidies, or how to manage a personal duty consumption use of subsidies. Therefore, we must establish and perfect with public servants ' duty consumption monetization reform support of the series of governance systems such as the civil service examination of responsibility, system, low fault investigation system, the report said. While other measures to keep up. （Ⅰ）画出函数（Ⅱ）若不等式

servants positions consumption standard tposition-related consumption of civil servants has been swept by finance, consumer, regardless of cost, extravagance and waste in the civil service position-related consumption, abuse, corruption and embezzlement, corruption is important. Then, under the conditions of market economy, how to reform the existing civil duty consumption management, explores a source to prevent and curb the post consumption corruption way, is currently a major issue faced by honest work. Recently, I conducted research on this issue, this problem on some humble opinions. First, the existing public servants ' duty consumption the main problems seen from the investigation and reasons, in recent years, public servants ' duty consumption caused by the abuses and not a person of integrity, is one of the major problems in the party in Government, its operation order have a negative effect on the party and Government organs, seriously damaging the image of the party and the Government, undermining the relationship between party and the masses, effect, opening up and economic construction. From I County in recent years of governance situation see, positions consumption in the produced of \"two not\" phenomenon rendering four a features: a is positions consumption system lost has due of binding, right is greater than rules, and right is greater than method of phenomenon more highlight; II is in positions consumption in the Camera Obscura operation, using terms, will positions consumption into has personal consumption, will corporate points to into personal points to, makes positions consumption in some aspects has into positions enjoy and self-dealing of means; three is to positions consumption for name, fraud, false impersonator, Trend of negative corruption phenomena such as corruption and misappropriation; four palaces, follow the fashion, rivalries, wasteful, and post consumption became a symbol of showing off their individual capacities. Caused by public servants ' duty consumption of many \"two\" phenomenon in which people reflect the biggest problems are: (a) the official car problems. Mainly in three aspects: one is the larger buses cost expenditure. According to statistics, until November 2003, XX County township Department bus 159 cars, which department owns the bus 145 vehicles, and showed an increasing trend. Financial expenses cost per bus per year to 35,000 yuan, and in fact every cost up to 50,000 yuan. Some units also hiring temporary drivers and expenditure on wages and subsidies. Necessary to \"keep a car\ndants\ng to larger expenses. Second, gongchesiyong breed unhealthy tendencies. Some people believe that now some bus drivers use one-third, one-third leading private one-third used for official purposes. Some public servants, especially leading officials motoring, cars for private purposes, violating the self-discipline regulations, and even lead to traffic accidents. According to statistics from related departments, since 2004, the correct investigation in our County serves nearly 30 cars for private purposes, only the first half of this year, cars for private purposes or

357 22Sn122232nn22 ②

①-②得

2 (12)Sn23252n212nn2 。 22010年普通高等学校招生全国统一考试

1理科数学试题参

一、 选择题

（1）D （2）A （3）A （4）C （5）C （6）B （7）D （8）B （9）A （10）B （11）C （12）B 二、填空题 （13）

N1N （14）三棱锥、三棱柱、圆锥（其他正确答案同样给分） （15）(x3)2y22 （16）60° 三、解答题 （17）解：

（Ⅰ）由已知，当n≥1时，

an1[(an1an)(anan1)(a2a1)]a1

3(22n122n32)2

22(n1)1。

而 a12,

所以数列{a2n1n}的通项公式为an2。

（Ⅱ）由bnnann22n1知

Sn12223325n22n1 ①

从而

eaders driving a vehicle accident caused by road accidents, 1, 1 people killed and direct economic losses amounting to more than 100,000 yuan. Third, high efficiency and low cost of the bus. Surveys show that, the operating costs of taxis for the 8200/... Is a fundamental priority of the reform, it is a difficult problem that must be solved in the reform process. Clearly, the post consumption averages three years before as a base and fine-tuned on the basis of this single practices must be improved. Improvements to adhere to three principles: first, under the existing policy provisions approved for public servants ' duty consumption standards, calibration, is not contrary to policy. Second, according to the local financial situation and people's sustainability, public servants ' duty consumption standards approved, both financial reach, and people passing through. Third, accordi

Discipline inspection and supervision organs, financial, auditing departments should strengthen supervision and inspection of public servants ' duty consumption monetization reform progress, to strengthen the reform of public servants ' duty consumption monetization system, measures to develop and monitor the implementation of inspection, not consumption as required, even shifting consumer behavior to stop, serious cases to deal with. Three ideas, public servants ' duty consumption monetization reform of politics, the economy and the deepening of the reform, public servants ' duty consumption as somewhere between a reform also demonstrated its importance and urgency. First of all, civil servants especially party and Government leaders and public servants ' duty consumption there are big drawbacks. NPC deputies and CPPCC members and the broad masses are concerof civil servants responsible for authorized public servants ' duty consumption standards, both high and low positions, but also the nature of the work and the workload. In reform of method Shang, ahe5

即 Sn9[(3n1)22n12]

（18）解：

以H为原点，HA,HB,HP 分别为x,y,z轴，线段HA的长为单位长， 建立空间直角坐标系如图，则A(1,0,0),B(0,1,0)

（Ⅰ）设 C(m,0,0),P(0,0,n)(m0,n0)

则 D(0m,,0E),1m2(2, ,0).可得 PE(1m2,2,n)BC,m(,1 ,0).因为PEBCm2m200

所以 PEBC

（Ⅱ）由已知条件可得 m33,n1,故 C(33,0,0) D(0,33,0E),12(,36,P0),( 0,0,1) 设 n(x,y,x)为平面PEH的法向量

则 nHE,o12x36y0 即nHP,o

z0因此可以取n(1,3,0)，由PA(1,0,1)，可得 cosPA,n24 d civil servants positions consumption standard to \"big unified, and small dispersed\" suitable, that most positions consumption project should according to policy provides proposed unified standard, consider to ranks, and units and the work task of differences sex, unified of standard should has elastic of and dynamic of, makes regions, and units in implementation unified standard Shi has must of flexible disposal right; but since set of standard must after financial, and audit, sector audit approved Hou to implementation. (C) reform package. Public servants ' duty consumption elasticity of consumption to limit consumption, turning mess into kitchen after dinner, follow the civil servant with a how to use personal title subsidies, or how to manage a personal duty consumption use of subsidies. Therefore, we must establish and perfect with public servants ' duty consumption monetization reform support of the series of governance systems such as the civil service examination of responsibility, system, low fault investigation system, the report said. While other measures to keep up. ng to the operational needs pprovened about. Secondly, tposition-related consumption of civil servants has been swept by finance, consumer, regardless of cost, extravagance and waste in the civil service position-related consumption, abuse, corruption and embezzlement, corruption is important. Then, under the conditions of market economy, how to reform the existing civil duty consumption management, explores a source to prevent and curb the post consumption corruption way, is currently a major issue faced by honest work. Recently, I conducted research on this issue, this problem on some humble opinions. First, the existing public servants ' duty consumption the main problems seen from the investigation and reasons, in recent years, public servants ' duty consumption caused by the abuses and not a person of integrity, is one of the major problems in the party in Government, its operation order have a negative effect on the party and Government organs, seriously damaging the image of the party and the Government, undermining the relationship between party and the masses, effect, opening up and economic construction. From I County in recent years of governance situation see, positions consumption in the produced of \"two not\" phenomenon rendering four a features: a is positions consumption system lost has due of binding, right is greater than rules, and right is greater than method of phenomenon more highlight; II is in positions consumption in the Camera Obscura operation, using terms, will positions consumption into has personal consumption, will corporate points to into personal points to, makes positions consumption in some aspects has into positions enjoy and self-dealing of means; three is to positions consumption for name, fraud, false impersonator, Trend of negative corruption phenomena such as corruption and misappropriation; four palaces, follow the fashion, rivalries, wasteful, and post consumption became a symbol of showing off their individual capacities. Caused by public servants ' duty consumption of many \"two\" phenomenon in which people reflect the biggest problems are: (a) the official car problems. Mainly in three aspects: one is the larger buses cost expenditure. According to statistics, until November 2003, XX County township Department bus 159 cars, which department owns the bus 145 vehicles, and showed an increasing trend. Financial expenses cost per bus per year to 35,000 yuan, and in fact every cost up to 50,000 yuan. Some units also hiring temporary drivers and expenditure on wages and subsidies. Necessary to \"keep a car\ndants\ng to larger expenses. Second, gongchesiyong breed unhealthy tendencies. Some people believe that now some bus drivers use one-third, one-third leading private one-third used for official purposes. Some public servants, especially leading officials motoring, cars for private purposes, violating the self-discipline regulations, and even lead to traffic accidents. According to statistics from related departments, since 2004, the correct investigation in our County serves nearly 30 cars for private purposes, only the first half of this year, cars for private purposes or所以直线PA与平面PEH所成角的正弦值为24

（19）解：

（1）调查的500位老年人中有70位需要志愿者提供帮助，因此该地区老年人中，需要帮助的老年人的比例的估算值为

7050014% （2）K2500(4027030160)2200300704309.967。 由于9.967>6.635,所以有99%的把握认为该地区的老年人是否需要帮助与性别有关。 (III)由(II)的结论知，该地区老年人是否需要帮助与性别有关，并且从样本数据能看出该地区男性老年人与女性老年人中需要帮助的比例有明显差异，因此在调查时，先确定该地区老年人中男、女的比例，再把老年人分成男、女两层并采用分层抽样方法比采用简单随机抽样方法更好． （20.）解：

（I）由椭圆定义知AF2BF2AB4a，又2ABAF2BF2， 得AB43a l的方程为yxc，其中ca2b2。

yx设AxBxc1,y1，2,y2，则A、B两点坐标满足方程组x2y2

a2b21化简的a2b2x22a2cxa2c2b20

则x2a2ca2c2b21x2a2b2,x1x2a2b2 因为直线AB斜率为1，所以AB2x222x1x1x24x1x2

eaders driving a vehicle accident caused by road accidents, 1, 1 people killed and direct economic losses amounting to more than 100,000 yuan. Third, high efficiency and low cost of the bus. Surveys show that, the operating costs of taxis for the 8200/... Is a fundamental priority of the reform, it is a difficult problem that must be solved in the reform process. Clearly, the post consumption averages three years before as a base and fine-tuned on the basis of this single practices must be improved. Improvements to adhere to three principles: first, under the existing policy provisions approved for public servants ' duty consumption standards, calibration, is not contrary to policy. Second, according to the local financial situation and people's sustainability, public servants ' duty consumption standards approved, both financial reach, and people passing through. Third, according to the operational needs of civil servants responsible for authorized public servants ' duty consumption standards, both high and low positions, but also the nature of the work and the workload. In reform of method Shang, a

Discipline inspection and supervision organs, financial, auditing departments should strengthen supervision and inspection of public servants ' duty consumption monetization reform progress, to strengthen the reform of public servants ' duty consumption monetization system, measures to develop and monitor the implementation of inspection, not consumption as required, even shifting consumer behavior to stop, serious cases to deal with. Three ideas, public servants ' duty consumption monetization reform of politics, the economy and the deepening of the reform, public servants ' duty consumption as somewhere between a reform also demonstrated its importance and urgency. First of all, civil servants especially party and Government leaders and public servants ' duty consumption there are big drawbacks. NPC deputies and CPPCC members and the broad masses are concerned about. Secondly, the6

得43a4ab2a2b2,故a22b2 所以E的离心率eca2b2a2a2 （II）设AB的中点为Nx0,y0，由（I）知

xx1x2a2c202a2b23c，y0x0cc3。 由PAPB，得kPN1， 即

y01x1得c3，从而a32,b3 0故椭圆E的方程为

x218y291。 （21）解：

（1）a0时，f(x)ex1x，f'(x)ex1.

当x(,0)时，f'(x)0；当x(0,)时，f'(x)0.故f(x)在(,0)单调减少，在

(0,)单调增加

（II）f'(x)ex12ax

由（I）知ex1x，当且仅当x0时等号成立.故f'(x)x2ax(12a)x，

从而当12a0，即a12时，f'(x)0 (x0)，而f(0)0， 于是当x0时，f(x)0. 由ex1x(x0)可得ex1x(x0).从而当a12时，

f'(x)ex12a(ex1)ex(ex1)(ex2a)，

d civil servants positions consumption standard to \"big unified, and small dispersed\" suitable, that most positions consumption project should according to policy provides proposed unified standard, consider to ranks, and units and the work task of differences sex, unified of standard should has elastic of and dynamic of, makes regions, and units in implementation unified standard Shi has must of flexible disposal right; but since set of standard must after financial, and audit, sector audit approved Hou to implementation. (C) reform package. Public servants ' duty consumption elasticity of consumption to limit consumption, turning mess into kitchen after dinner, follow the civil servant with a how to use personal title subsidies, or how to manage a personal duty consumption use of subsidies. Therefore, we must establish and perfect with public servants ' duty consumption monetization reform support of the series of governance systems such as the civil service examination of responsibility, system, low fault investigation system, the report said. While other measures to keep up. pproveposition-related consumption of civil servants has been swept by finance, consumer, regardless of cost, extravagance and waste in the civil service position-related consumption, abuse, corruption and embezzlement, corruption is important. Then, under the conditions of market economy, how to reform the existing civil duty consumption management, explores a source to prevent and curb the post consumption corruption way, is currently a major issue faced by honest work. Recently, I conducted research on this issue, this problem on some humble opinions. First, the existing public servants ' duty consumption the main problems seen from the investigation and reasons, in recent years, public servants ' duty consumption caused by the abuses and not a person of integrity, is one of the major problems in the party in Government, its operation order have a negative effect on the party and Government organs, seriously damaging the image of the party and the Government, undermining the relationship between party and the masses, effect, opening up and economic construction. From I County in recent years of governance situation see, positions consumption in the produced of \"two not\" phenomenon rendering four a features: a is positions consumption system lost has due of binding, right is greater than rules, and right is greater than method of phenomenon more highlight; II is in positions consumption in the Camera Obscura operation, using terms, will positions consumption into has personal consumption, will corporate points to into personal points to, makes positions consumption in some aspects has into positions enjoy and self-dealing of means; three is to positions consumption for name, fraud, false impersonator, Trend of negative corruption phenomena such as corruption and misappropriation; four palaces, follow the fashion, rivalries, wasteful, and post consumption became a symbol of showing off their individual capacities. Caused by public servants ' duty consumption of many \"two\" phenomenon in which people reflect the biggest problems are: (a) the official car problems. Mainly in three aspects: one is the larger buses cost expenditure. According to statistics, until November 2003, XX County township Department bus 159 cars, which department owns the bus 145 vehicles, and showed an increasing trend. Financial expenses cost per bus per year to 35,000 yuan, and in fact every cost up to 50,000 yuan. Some units also hiring temporary drivers and expenditure on wages and subsidies. Necessary to \"keep a car\ndants\ng to larger expenses. Second, gongchesiyong breed unhealthy tendencies. Some people believe that now some bus drivers use one-third, one-third leading private one-third used for official purposes. Some public servants, especially leading officials motoring, cars for private purposes, violating the self-discipline regulations, and even lead to traffic accidents. According to statistics from related departments, since 2004, the correct investigation in our County serves nearly 30 cars for private purposes, only the first half of this year, cars for private purposes or故当x(0,ln2a)时，f'(x)0，而f(0)0，于是当x(0,ln2a)时，f(x)0. 综合得a的取值范围为(,12].

（22）解： （I）因为ACBC, 所以BCDABC.

又因为EC与圆相切于点C，故ACEABC， 所以ACEBCD.

（II）因为ECBCDB,EBCBCD,

所以BDC∽ECB，故

BCBECDBC，

即BC2BECD.

(23)解： （Ⅰ）当3时，C1的普通方程为y3(x1)，C222的普通方程为xy1。联立方程组

y3(x1)1x2y21 ，解得C1与C2的交点为（1,0）32，2。

（Ⅱ）Csin0. A点坐标为sin21的普通方程为xsinycoscossin，

x1sin2故当变化时，P点轨迹的参数方程为：2（为参数）y1

2sincos12P点轨迹的普通方程为x14y216。

故P点轨迹是圆心为

14，0，半径为

14的圆。

eaders driving a vehicle accident caused by road accidents, 1, 1 people killed and direct economic losses amounting to more than 100,000 yuan. Third, high efficiency and low cost of the bus. Surveys show that, the operating costs of taxis for the 8200/... Is a fundamental priority of the reform, it is a difficult problem that must be solved in the reform process. Clearly, the post consumption averages three years before as a base and fine-tuned on the basis of this single practices must be improved. Improvements to adhere to three principles: first, under the existing policy provisions approved for public servants ' duty consumption standards, calibration, is not contrary to policy. Second, according to the local financial situation and people's sustainability, public servants ' duty consumption standards approved, both financial reach, and people passing through. Third, according to the operational needs of civil servants responsible for authorized public servants ' duty consumption standards, both high and low positions, but also the nature of the work and the workload. In reform of method Shang, a

Discipline inspection and supervision organs, financial, auditing departments should strengthen supervision and inspection of public servants ' duty consumption monetization reform progress, to strengthen the reform of public servants ' duty consumption monetization system, measures to develop and monitor the implementation of inspection, not consumption as required, even shifting consumer behavior to stop, serious cases to deal with. Three ideas, public servants ' duty consumption monetization reform of politics, the economy and the deepening of the reform, public servants ' duty consumption as somewhere between a reform also demonstrated its importance and urgency. First of all, civil servants especially party and Government leaders and public servants ' duty consumption there are big drawbacks. NPC deputies and CPPCC members and the broad masses are concerned about. Secondly, the7

（24） 解：

（Ⅰ）由于f(x)2x5，x2x3，x2则函数yf(x)的图像如图所示。 2

（Ⅱ）由函数yf(x)与函数yax的图像可知，当且仅当a12或a2时，函数yf(x)与函数yax的图像有交点。故不等式f(x)ax的解集非空时，a的取值范围为

，212，。 d civil servants positions consumption standard to \"big unified, and small dispersed\" suitable, that most positions consumption project should according to policy provides proposed unified standard, consider to ranks, and units and the work task of differences sex, unified of standard should has elastic of and dynamic of, makes regions, and units in implementation unified standard Shi has must of flexible disposal right; but since set of standard must after financial, and audit, sector audit approved Hou to implementation. (C) reform package. Public servants ' duty consumption elasticity of consumption to limit consumption, turning mess into kitchen after dinner, follow the civil servant with a how to use personal title subsidies, or how to manage a personal duty consumption use of subsidies. Therefore, we must establish and perfect with public servants ' duty consumption monetization reform support of the series of governance systems such as the civil service examination of responsibility, system, low fault investigation system, the report said. While other measures to keep up. pprove