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conferences, learned superiors policies; reports, you can learn to deal with problems, art, just wanted to learn, to learn at any time. To continuously expand the scope of the study. The complexity and comprehensiveness of our work, decided to not only do we want to be \different areas of knowledge. Mastery of knowledge not only to have knowledge to rational analysis. This on requirements we, not only to learning national of route, and approach, and policy, also to learning national of legal, and regulations; not only to with political theory armed mind, also to with economic theory guide work; not only to read history, also to read history; not only to absorption SM of mirror, also to gets is of road; not only to from local learn, also to to outside learn; not only to to books learn, also to field study learn. Therefore, I would encourage you, and more to the outside world when I have time to take a look at, take a stroll, outside developments, learn other people's development approach, and then come back to guide our work. Second, we must think. \ng without thought to overshadow, thinking without learning is perilous.\of advancing with the times, forge ahead, often reflect themselves in adapting to the new situation on whether there are delays, have anything to fear in the reform and innovation, whether in terms of accelerating the development of a relaxation, keep promising State of mind. In order to do investigations, investigations is the road to heaven, God disposes of the base. To wants to real heard truth, and justice to truth, and get truth, received effectiveness, on must in-depth actual, and outreach, and in-depth masses, worship masses for Division, and masses heart, with masses with discussion everyone care of problem, listening hey of calls, understand they of mood, feel they of suffering, summary they of experience, concentrated they of wisdom, especially on masses mosthope, and most urgent, and most worries, and most complained of hot, and difficulties and focus problem, more to active research, caught not put. Dare to innovate, in our work, often remain \d way doesn't work, the new approach would not\on, the reason, the key is that many people know that copying other people's ideas, mechanically, using somone else's old ways. To change this predicament, requires us to break the shackles of traditional concepts to overcome conservative, conformist, good at finding new problems and to accept new things, summarize new experience, new ideas, developing new programmes and Maverick, a new approach to solve problems, speed up development. Especially in implement superior policy spirit of process in the, both implementation, and cannot mechanically, to to extraordinary of courage and develop enterprising of spirit, put flexibility and principle combined up, put superior of spirit and local reality combined up, Yong conspiracy to breakthrough of policy, and exercise innovation of lift, developed out development works of, and grass-roots welcomes of, and
浙江省2013 年选拔优秀高职高专毕业生进入本科学习统一考试
高等数学
请考生按规定用笔将所有试题的答案涂、写在答题纸上。
选择题部分
注意事项: 1.答题前，考生务必将自己的姓名、准考证号用黑色字迹的签字笔或钢笔填写在答题纸规定的位置上。 2.每小题选出答案后，用 2B 铅笔把答题纸上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，再选涂其它答案标号。不能答在试题卷上。
一、 选择题: 本大题共 5 小题， 每小题4 分， 共20 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.设f(x)=sin(cos2x)，-∞ A.有界函数 B.奇函数 C.偶函数 D.周期函数 2.若函数y=f(x)是区间[1,5]上的连续函数，则该函数一定--------( ) A.在区间[1,5]上可积 B在区间（1,5）上有最小值 C.在区间（1,5）上可导 D.在区间（1,5）上有最大值 3. ?x0xcosxdx=-----------------------------------------( ) A.0 B.1 C.-1 D.2 4.由曲线y?x，y=x所围成的平面图形的面积是---------------( ) A.3/2 B.1/2 C.1/3 D.1 5.二阶微分方程 2xy``?y`?6y?3esinxcosx，则其特解的形式为( ) 2x2xe(acosx?bsinx) B.e(acos2x?bsin2x)A. 2x2xxe(acosx?bsinx)xe(acos2x?bsin2x)C. D. According to Office Party of mass line education practice activities led group of unified arrangements, units main led to for cadres workers Shang a times party lecture, due to himself level limited, only put this stage concentrated learning of experience today and everyone common with learning exchange, purpose is let we further deep understanding mass line of connotation, insisted party of mass line, do masses work, following main from four a aspects told: a, and full awareness party of mass line education practice activities of major meaning Party's 18 major distinct proposed to focus on the party's advanced nature and purity, in the party, with \nd clean for the people\nt of the party's mass line and educational practice. This is comrade XI Jinping as party General Secretary and adhere to strictly administering the party, strengthen the party's major decision is in line with the public expectations and strengthening the construction of learning-oriented service innovation of Marxist party's major deployment, is the important measure to advance the great cause of socialism with Chinese characteristics. First, carry out the party's mass line in education practice, was carrying 18 of the party spirit, summon a powerful force for realizing the great rejuvenation of the Chinese nation the Chinese dream of urgent needs. Party's 18 to promote strategic deployment to building socialism with Chinese characteristics, presents two 100-year goal, namely, by 2020 China's gross domestic product and per capita income of urban and rural residents in 2010 on the basis of double complete the building of a well-off society; the middle of this century into a prosperous, democratic, civilized and harmonious Socialist modern country, and on this basis, the Chinese dream of realizing the great rejuvenation of the Chinese nation. 18 Congress of the party, Comrade XI Jinping repeatedly expounded the Chinese dream. The basic connotation of the Chinese dream, is the national prosperity, national revitalization, the happiness of the people, China important to follow is to keep China Road, carry forward the spirit and cohesion strength of China, dream dreams of the people of China, but determined confidence, enhance self-awareness, achieve self-reliance, to build a stronger China, civilization, harmony, beauty, China, China, China. Strategic conception of China was 18 the spirit of the enrichment and development of the party, conscientiously study the Chinese dream, leading people to hard to realize the Chinese dream, mass education activities in depth the fundamental starting point and ending point. Strengthen the education of the party's mass line, helps to train the collective consciousness of the unity of the party and the people, playing the Chinese dream ideological bases. Comrade Mao Zedong stressed that parties should have \mon language\have \History haconferences, learned superiors policies; reports, you can learn to deal with problems, art, just wanted to learn, to learn at any time. To continuously expand the scope of the study. The complexity and comprehensiveness of our work, decided to not only do we want to be \different areas of knowledge. Mastery of knowledge not only to have knowledge to rational analysis. This on requirements we, not only to learning national of route, and approach, and policy, also to learning national of legal, and regulatons; not only to with political theory armed mind, also to with economic theory guide work; not only to read history, also to read history; not only to absorption SM of mirror, also to gets is of road; not only to from local learn, also to to outside learn; not only to to books learn, also to field study learn. Therefore, I would encourage you, and more to the outside world when I have time to take a look at, take a stroll, outside developments, learn other people's development approach, and then come back to guide our work. Second, we must think. \ng without thought to overshadow, thinking without learning is perilous.\of advancing with the times, forge ahead, often reflect themselves in adapting to the new situation on whether there are delays, have anything to fear in the reform and innovation, whether in terms of accelerating the development of a relaxation, keep promising State of mind. In order to do investigations, investigations is the road to heaven, God disposes of the base. To wants to real heard truth, and justice to truth, and get truth, received effectiveness, on must in-depth actual, and outreach, and in-depth masses, worship masses for Division, and masses heart, with masses with discussion everyone care of problem, listening they of calls, understand they of mood, feel they of suffering, summary they of experience, concentrated they of wisdom, especially on masses mosthope, and most urgent, and most worries, and most complained of hot, and difficulties and focus problem, more to active research, caught not put. Dare to innovate, in our work, often remain \d way doesn't work, the new approach would not\on, the reason, the key is that many people know that copying other people's ideas, mechanically, using someone else's old ways. To change this predicament, requires us to break the shackles of traditional concepts to overcome conservative, conformist, good at finding new problems and to accept new things, summarize new experience, new ideas, developing new programmes and Maverick, a new approach to solve problems, speed up development. Especially in implement superior policy spirit of process in the, both implementation, and cannot mechanically, to to extraordinary of courage and develop enterprising of spirit, put flexibility and principle combined up, put superior of spirit and local reality combined up, Yong conspiracy to breakthrough of policy, and exercise innovation of lift, developed out development works of, and grass-roots welcomes of, and 非选择题部分 注意事项: 1.用黑色字迹的签字笔或钢笔将答案写在答题纸上，不能答在试题卷上。 2.在答题纸上作图，可 先使用 2B 铅笔，确定后必须使用黑色字迹的签字笔或钢笔描黑。 二、 填空题: 本大题共 10 小题， 每小题4 分， 共 40 分。 2limxInsin(x)?6. 极限x?0__________________ 7. 函数y?sinx的定义域是__________________ lim8. 已知f(l)?1，?x?0 f(1??x)?f(1??x)??x__________________ sinyy?y(x)y?1?xe9. 若函数 由方程确定，则y`=__________________ 10. ?dx?xlnx__________________ 112lim(sin?2sin?...nsin1)2211. 极限n用定积分表示__________________ ??nnn n2?1(?1)xn的收敛区间是12. ?n__________________ n?1? 2y`?p(x)y?Q(x)y13. 求常微分方程 的通解__________________ 14. 求法向量是a=(1，-3,2)且过点（1，0，1）的平面方程__________________ 15. 球面x2+y2+(z-2)2=4与平面2x+y-z+26=0之间的距离是__________________ According to Office Party of mass line education practice activities led group of unified arrangements, units main led to for cadres workers Shang a times party lecture, due to himself level limited, only put this stage concentrated learning of experience today and everyone common with learning exchange, purpose is let we further deep understanding mass line of connotation, insisted party of mass line, do masses work, following main from four a aspects told: a, and full awareness party of mass line education practice activities of major meaning Party's 18 major distinct proposed to focus on the party's advanced nature and purity, in the party, with \nd clean for the people\nt of the party's mass line and educational practice. This is comrade XI Jinping as party General Secretary and adhere to strictly administering the party, strengthen the party's major decision is in line with the public expectations and strengthening the construction of learning-oriented service innovation of Marxist party's major deployment, is the important measure to advance the great cause of socialism with Chinese characteristics. First, carry out the party's mass line in education practice, was carrying 18 of the party spirit, summon a powerful force for realizing the great rejuvenation of the Chinese nation the Chinese dream of urgent needs. Party's 18 to promote strategic deployment to building socialism with Chinese characteristics, presents two 100-year goal, namely, by 2020 China's gross domestic product and per capita income of urban and rural residents in 2010 on the basis of double complete the building of a well-off society; the middle of this century into a prosperous, democratic, civilized and harmonious Socialist modern country, and on this basis, the Chinese dream of realizing the great rejuvenation of the Chinese nation. 18 Congress of the party, Comrade XI Jinping repeatedly expounded the Chinese dream. The basic connotation of the Chinese dream, is the national prosperity, national revitalization, the happiness of the people, China important to follow is to keep China Road, carry forward the spirit and cohesion strength of China, dream dreams of the people of China, but determined confidence, enhance self-awareness, achieve self-reliance, to build a stronger China, civilization, harmony, beauty, China, China, China. Strategic conception of China was 18 the spirit of the enrichment and development of the party, conscientiously study the Chinese dream, leading people to hard to realize the Chinese dream, mass education activities in depth the fundamental starting point and ending point. Strengthen the education of the party's mass line, helps to train the collective consciousness of the unity of the party and the people, playing the Chinese dream ideological bases. Comrade Mao Zedong stressed that parties should have \mon language\have \History haconferences, learned superiors policies; reports, you can learn to deal with problems, art, just wanted to learn, to learn at any time. To continuously expand the scope of the study. The complexity and comprehensiveness of our work, decided to not only do we want to be \n different areas of knowledge. Mastery of knowledge not only to have knowledge to rational analysis. This on requirements we, not only to learning national of route, and approach, and policy, also to learning national of legal, and regulations; not only to with political theory armed mind, also to with economic theory guide work; not only to read history, also to read history; not only to absorption SM of mirror, also to gets is of road; not only to from local learn, also to to outside learn; not only to to books learn, also to field study learn. Therefore, I would encourage you, and more to the outside world when I have time to take a look at, take a stroll, outside developments, learn other people's development approach, and then come back to guide our work. Second, we must think. \ng without thought to overshadow, thinking without learning is perilous.\he character of advancing with the times, forge ahead, often reflect themselves in adapting to the new situation on whether there are delays, have anything to fear in the reform and innovation, whether in terms of accelerating the development of a relaxation, keep promising State of mind. In order to do investigations, investigations is the road to heaven, God disposes of the base. To wants to real heard truth, and justice to truth, and get truth, received effectiveness, on must in-depth actual, and outreach, and in-depth masses, worship masses for Division, and masses heart, with masses with discussion everyone care of problem, listening they of calls, understand they of mood, feel they of suffering, summary they of experience, concentrated they of wisdom, especially on masses most hope, and most urgent, and most worries, and most complained of hot, and difficulties and focus problem, more to active research, caught not put. Dare to innovate, in our work, often remain \old way doesn't work, the new approach would not\on, the reason, the key is that many people know that copying other people's ideas, mechanically, using someone else's old ways. To change this predicament, requires us to break the shackles of traditional concepts to overcome conservative, conformist, good at finding new problems and to ccept new things, summarize new experience, new ideas, developing new programmes and Maverick, a new approach to solve problems, speed up development. Especially in implement superior policy spirit of process in the, both implementation, and cannot mechanically, to to extraordinary of courage and develop enterprising of spirit, put flexibility and principle combined up, put superior of spirit and local reality combined up, Yong conspiracy to breakthrough of policy, and exercise innovation of lift, developed out development works of, and grass-roots welcomes of, and 三、计算题：本题共有 8 小题，其中 16-19 小题每小题 7 分，20-23 小题每 小题 8 分，共60 分。 计算题必须写出必要的计算过程， 只写答案的不给分。 ??exsinx?ax(1?x)?sin3,???x?02.设f(x)??x?1，若f(x)??3,x?0连续，求a ?3. f(x)???1?ex2,x?0求f`(x)??0,x?0 e2x4.求y?x的单调区间和凹凸区间 5.讨论方程3x^2-1=c o s x有几个根 According to Office Party of mass line education practice activities led group of unified arrangements, units main led to for cadres workers Shang a times party lecture, due to himself level limited, only put this stage concentrated learning of experience today and everyone common with learning exchange, purpose is let we further deep understanding mass line of connotation, insisted party of mass line, do masses work, following main from four a aspects told: a, and full awareness party of mass line education practice activities of major meaning Party's 18 major distinct proposed to focus on the party's advanced nature and purity, in the party, with \c and clean for the people\content of the party's mass line and educational practice. This is comrade XI Jinping as party General Secretary and adhere to strictly administering the party, strengthen the party's major decision is in line with the public expectations and strengtservice innovation of Marxist party's major deployment, is the important measure to advance the great cause of socialism with Chinese characteristics. First, carry out the party's mass line in education practice, was carrying 18 of the party spirit, summon a powerful force for realizing the great rejuvenation of the Chinese nation the Chinese dream of urgent needs. Party's 18 to promote strategic deployment to building socialism with Chinese characteristics, presents two 100-year goal, namely, by 2020 China's gross domestic product and per capita income of urban and rural residents in 2010 on the basis of double complete the building of a well-off society; the middle of this century into a prosperous, democratic, civilized and harmonious Socialist modern country, and on this basis, the Chinese dream of realizing the great rejuvenation of the Chinese nation. 18 Congress of the party, Comrade XI Jinping repeatedly expounded the Chinational prosperity, national revitalization, the happiness of the people, China important to follow is to keep China Road, carry forward the spirit and cohesion strength of China, dream dreams of the people of China, but determined confidence, enhance self-awareness, achieve self-reliance, to build a stronger China, civilization, harmony, beauty, China, China, China. Strategic conception of China was 18 the spirit of the enrichment and development of the party, conscientiously study the Chinese dream, leading people to hard to realize the Chinese dream, mass education activities in depth the fundamental starting point and ending point. Strengthen the education of the party's mass line, helps to train the collective consciousness of the unity of the party and the people, playing the Chinese dream ideological bases. Comrade Mao Zedong stressed that parties should have \mon language\ countries must have \之所学 我之所研 construction of learning-oriented of the Chinese dream, is the 你 hening the nese dream. The basic connotation History ha