2011届高三第一次模拟数学试卷（文科）答案

promotion of employment, form a reasonable and orderly pattern of income distribution, build a more fair and sustainable social security systems, medical and health system reform. The plenary, innovation of social governance, must focus on the maintenance of fundamental interests of the overwhelming majority of the people, maximize factors, enhance social development, improving social governance, the interests of national security, ensure that the people live and work, social stability and order. To improve social governance, stimulating social organization, innovative and effective system of preventing and resolving social conflicts, improving the public security system, set up the National Security Council, national security systems and national security strategy to ensure national security. Plenary session, the construction of ecological civilization, you must establish systems of ecological system, using the system to protect the ecological environment. To improve natural resources asset property right system and use control, red line of delimitation of ecological protection, resources paid use system and ecological compensation system in ecological environment protection management system reform. Plenary session, centering on building a listening party command, can win and having a fine style of the people's army, a strong army under the new situation of the party Goals, restricting the development of national defense and army building is solved outstanding contradictions and problems, innovation and development of military theory, enhance military strategic guidance, improve the military strategy in the new period, building a modern military force system with Chinese characteristics. To deepen the adjustment of personnel system reform in the army, military policy and system reform, promote the development of military and civilian integration depth. Plenary session stressed that comprehensive reform must be to strengthen and improve the party's leadership, give full play to the core role of the party commands the overall situation and coordinating all parties, improving the party's leading water ... Margin. Challenged the leadership of the Communist Party of China, Marxism-Leninism and Mao Zedong thought by Deng Xiao-ping's flag, replaced by three representatives and the harmonic society. The former Communist Party spirit and social cohesion point of almost all political makeover. Characteristics of socialism public ownership is shifting to private ownership, planned regulation and market regulation, the proletarian regime controlled by the elite. Of universal equality, fairness and basic principles of distribution system is socialist society, however after economic monopolized by powerful, vested interests grow, employers do not have the same status, hardly seems fair social distribution. State key protection of capital interests rather than the interests of citizens, had been hits the bottom of the proletariat银川一中2011届高三年级第一次模拟数学试卷（文）参考答案

一． 选择题：ABBCC ABCDB BB 2二． 填空题：13.4x29?y4?1; 14.?4 15.7 16. ①②③ 三．科答题 17. f(x)?sin(2x??6)?2cos(x??4)cos(x??4)?1 =32sin2x?12cos2x?2(22cosx?22sinx)(22cosx?22sinx)?1 =32sin2x?12cos2x?(cos2x?sin2x)?1=32sin2x?12cos2x?cos2x?1 =32sin2x?32cos2x?1=3(12sin2x?32cos2x)?1=3sin(2x??3)?1. （1）f(x)的最小正周期是?. (2)∵0?x??2? 0?2x??????3?2x?3?2?3, ∴?32?sin(2x??3)?1, ∴?12?3sin(2x??3)?1?3?1 故f(x)的值域是[?12,3?1]. 18. （1）茎叶图略 （2）； ； 24 7 ； 1600 7 . ∵，故甲车间产品比较稳定. （3）所有可能的情况有：（102,90）,(102,85),(102,75),(101,90),(101,85),(101,75),(103,90),(103,85), (103,75),不满足条件的有：（102，75），（101，75），（103，75） bviously, face China's Socialist system, the Communist Party is not the party. In that case, political chaos has been very tight. Is remodeling or reconstruction, is a correction or a stove. Whether to turn right or left, is back to the source or put forward new political ideas. This is to determine the road problems in China, is also the key out of the deep water of the reform of the economic system. After 18, the new Central collective leadership attaches great importance to political orientation. First, the \ht articles\starting point, starting from the Central Government's self-restraint, which preaches and pro-image, brought fresh feeling to the community. Secondly, before reform and opening up and reform and opening two periods after non-negative, untying the tangle of the society a long time on this issue. Third, a new generation of party leaders on various occasions to Mao Ze-Dong and Mao Ze-Dong's thought of evaluation has room for manoeuvre, through to the ruling ideology of Mao Zedong thought, is the call of the soul to the Socialist Revolution and construction. Empty talks jeopardize national interests and try again, is an affirmation of Deng implement the Constitution, stressed the need to turn off the power in a cage. Also stresses that Mao Zedong thought cannot be lost, 30 years after the reform and opening up 30 years ago can not deny each other. Both advocate democracy and release \does not speak of\her deny the history of the CPC Central Committee on several issues ...Comrades: today brings together members, mainly in order to provide a platform to Exchange and learn from each other in order to facilitate our work. Just now, we focus on taxation, planning and stability, safety, project construction, typical topics such as private facts presentation and interaction, and towns currently exist in the in-depth analysis of the problems to be solved, to explore new methods to solve the problem. It can be said that summing up the achievement, no grandstanding; analysis所以P(|x?y|?20)=1-123?3 19．解:(1)取CE中点P,连结FP、BP DE⊥平面ACD，AB⊥平面ACD => AB//DE根据三角形中位线定理，FP//=1/2DE,AB//=1/2DE => AB//=FP => AF//BP因此AF//平面BCE.

(2)AB⊥平面ACD,DE//AB => DE⊥平面ACD => DE⊥AF而AF⊥CD,于是AF⊥平面CDE。 于是由BP//AF,有BP⊥平面CDE，因此，平面BCE⊥平面CDE 20解：（I）由题意，f(x)的定义域为(0,??),且f?(x)?1x?ax?ax2?x2. ……1分 ①当a?0时,f?(x)?0,?f(x)的单调增区间为(0,??) …………3分

②当a?0时,令f?(x)?0,得x??a,?f(x)的单调增区间为(?a,??). ………5分

（II）由（I）可知，f?(x)?x?ax2 ①若a??1,则x?a?0,即f?(x)?0在[1,e]上恒成立,f(x)在[1,e]上为增函数， ?[f(x)]3min?f(1)??a?2,?a??32（舍去）。 …………7分 ②若a??e,则x?a?0,即f?(x)?0在[1,e]上恒成立,f(x)在[1,e]上为减函数， ?[f(x)]amin?f(e)?1?e?32,?a??e2（舍去）。 …………9分 ③若?e?a??1,当1?x??a时,f?(x)?0,?f(x)在(1,?a)上为减函数，

当?a?x?e时,f?(x)?0,?f(x)在(?a,e)上为增函数,?[f(x)])?1?3 min?f(?a)?ln(?a2,?a??e综上所述，a??e ………………12分

21【解析】（1）又由点M在准线上，得a2c?2 故1?c2c?2，?c?1 从而a?2 所以椭圆方程为x22?y2?1 2（2）以OM为直径的圆的方程为x(x?2)?y(y?t)?0即(x?1)2?(y?t2t2)?4?1

(1,tt2其圆心为2),半径r?4?1 因为以OM为直径的圆被直线3x?4y?5?0截得的弦长为2

These strong political signal showing a new generation of political leaders is still keeping to the Socialist road. Four is revisiting the \o Ze-Dong's historical cycle of\profile anti-corruption and the importance of the Constitution, reorganization is bad style of officialdom, was to civilize people obey the law, while improving the color change of the regime of vigilance. Five is to reform into deeper waters and stressed that top-level design, this is a review on the reform and opening up in the past, is also looking for a way out. Six foreign and Russia closer, the flexible attitude on the issue of the Korean peninsula, Sino-Japanese fishing hardline China on the island out of the \profile shadow began to gradually plan development. Signs show that the new leadership began to make a left turn in politics. However, as of right now, not only ideological confusion in the community, the new leadership's thinking is messy. New leaders both stressed the need to Xiao-ping's reform ideas. promotion of employment, form a reasonable and orderly pattern of income distribution, build a more fair and sustainable social security systems, medical and health system reform. The plenary, innovation of social governance, must focus on the maintenance of fundamental interests of the overwhelming majority of the people, maximize factors, enhance social development, improving social governance, the interests of national security, ensure that the people live and work, social stability and order. To improve social governance, stimulating social organization, innovative and effective system of preventing and resolving social conflicts, improving the public security system, set up the National Security Council, national security systems and national security strategy to ensure national security. Plenary session, the construction of ecological civilization, you must establish systems of ecological system, using the system to protect the ecological environment. To improve natural resources asset property right system and use control, red line of delimitation of ecological protection, resources paid use system and ecological compensation system in ecological environment protection management system reform. Plenary session, centering on building a listening party command, can win and havng a fine style of the people's army, a strong army under the new situation of the party Goals, restricting the development of national defense and army building is solved outstanding contradictions and problems, innovation and development of military theory, enhance military strategic guidance, improve the military strategy in the new period, building a modern military force system with Chinese characteristics. To deepen the adjustment of personnel system reform in the army, military policy and system reform, promote the development of military and civilian integration depth. Plenary session stressed that comprehensive reform must be to strengthen and improve the party's leadership, give full play to the core role of the party commands the overall situation and coordinating all parties, improving the party's leading water ... Margin. Challenged the leadership of the Communist Party of China, Marxism-Leninism and Mao Zedong thought by Deng Xiao-ping's flag, replaced by three representatives and the harmonic society. The former Communist Party spirit and social cohesion point of almost all political makeover. Characteristics of socialism public ownership is shifting to private ownership, planned regulation and market regulation, the proletarian regime controlled by the elite. Of universal equality, fairness and basic principles of distribution system is socialist society, however after economic monopolized by powerful, vested interests grow, employers do not have the same status, hardly seems fair social distribution. State key protection of capital interests rather than the interests of citizens, had been hits the bottom of the proletariat所以圆心到直线3x?4y?5?0的距离d?r2?1 ?t3?2t?5t2 所以

5?2，解得t?4所求圆的方程为(x?1)2?(y?2)2?5 （3）方法一：由平几知：ON2?OKOM

?y?tx直线OM：y?t2x，直线FN：y??2t(x?1) 由???24?2得xK?t2?

??y??t(x?1)42?(1?t24)x?(1?t2?ONK4)xM所以线段ON的长为定值2

?(1?t24)?4t2?4?2?2方法二、设N(x0,yFN?(x0?1,y0),OM?(2,t)0)，则

MN?(x0?2,y0?t),ON?(x0,y0)FN?OM,?2(x0?1)?ty0?0,?2x0?ty0?2

又

MN?ON,?x20(x0?2)?y0(y0?t)?0,?x0?y02?2x0?ty0?2

所以，ON?x20?y20?2为定值

22．（本小题满分10分）选修4－1：几何证明选讲

解:（Ⅰ）在ΔABE和ΔACD中，

∵AB?AC ∠ABE=∠ACD………………2分 又，∠BAE=∠EDC ∵BD//MN ∴∠EDC=∠DCN ∵直线是圆的切线，∴∠DCN=∠CAD ∴∠BAE=∠CAD

∴ΔABE?ΔACD（角、边、角）……………………………5分 （Ⅱ）∵∠EBC=∠BCM ∠BCM=∠BDC ∴∠EBC=∠BDC=∠BAC BC=CD=4

又 ∠BEC=∠BAC+∠ABE=∠EBC+∠ABE=∠ABC=∠ACB ∴ BC=BE=4 ……………………………8分 设AE=x，易证 ΔABE∽ΔDEC

∴

DEDCx?AB?46?DE?23x又 AE?EC?BE?EDEC?6?x

∴4?2103x?x(6?x)x?3……………………………10分 bviously, face China's Socialist system, the Communist Party is not the party. In that case, political chaos has been very tight. Is remodeling or reconstruction, is a correction or a stove. Whether to turn right or left, is back to the source or put forward new political ideas. This is to determine the road problems in China, is also the key out of the deep water of the reform of the economic system. After 18, the new Central collective leadership attaches great importance to political orientation. First, the \ht articles\starting point, starting from the Central Government's self-restraint, which preaches and pro-image, brought fresh feeling to the community. Secondly, before reform and opening up and reform and opening two periods after non-negative, untying the tangle of the society a long time on this issue. Third, a new generation of party leaders on various occasions to Mao Ze-Dong and Mao Ze-Dong's thought of evaluation has room for manoeuvre, through to the ruling ideology of Mao Zedong thought, is the call of the soul to the Socialist Revolution and construction. Empty talks jeopardize national interests and try again, is an affirmation of Deng implement the Constitution, stressed the need to turn off the power in a cage. Also stresses that Mao Zedong thought cannot be lost, 30 years after the reform and opening up 30 years ago can not deny each other. Both advocate democracy and release \does not speak of\her deny the history of the CPC Central Committee on several issues ...Comrades: today brings together members, mainly in order to provide a platform to Exchange and learn from each other in order to facilitate our work. Just now, we focus on taxation, planning and stability, safety, project construction, typical topics such as private facts presentation and interaction, and towns currently exist in the in-depth analysis of the problems to be solved, to explore new methods to solve the problem. It can be said that summing up the achievement, no grandstanding; analysis??x?1?1t,23．【解析】（1）直线l的参数方程是??2，t为参数，圆C的极坐标方程是

???y??5?32t??8sin?。（5分）

（2）圆心的直角坐标是(0,4)，直线l的普通方程是3x?y?5?3?0，圆心到直线的距离d?0?4?5?33?1?9?32?4，所以直线l和圆C相离。（10分） 24．【分析】（1）对a进行分类讨论；（2）把问题转化为求函数的最值。

【解析】（1）不等式f(x)?a?1?0，即x?2?a?1?0。 当a?1时，不等式的解集是(??,2)(2,??)；

当a?1时，不等式的解集为R；

当a?1时，即x?2?1?a，即x?2?a?1或者x?2?1?a，即x?a?1或者

x?3?a，解集为(??,1?a)(3?a,??)。 （5分）

（2）函数f(x)的图象恒在函数g(x)图象的上方，即x?2??x?3?m对任意实数x恒成立。即x?2?x?3?m对任意实数x恒成立。 由于x?2?x?3?(x?2)?(x?3)?5，故只要m?5。 所以m的取值范围是(??,5)。

These strong political signal showing a new generation of political leaders is still keeping to the Socialist road. Four is revisiting the \o Ze-Dong's historical cycle of\profile anti-corruption and the importance of the Constitution, reorganization is bad style of officialdom, was to civilize people obey the law, while improving the color change of the regime of vigilance. Five is to reform into deeper waters and stressed that top-level design, this is a review on the reform and opening up in the past, is also looking for a way out. Six foreign and Russia closer, the flexible attitude on the issue of the Korean peninsula, Sino-Japanese fishing hardline China on the island out of the \profile shadow began to gradually plan development. Signs show that the new leadership began to make a left turn in politics. However, as of right now, not only ideological confusion in the community, the new leadership's thinking is messy. New leaders both stressed the need to Xiao-ping's reform ideas.

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