(完整word版)江苏省2012年专转本高数真题及答案.pdf
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1、江苏省 2012 年普通高校“专转本”选拔考试高 等 数 学试 题 卷(二 年 级)注意事项:出卷人:江苏建筑大学-张源教授1、考生务必将密封线内的各项目及第2 页右下角的座位号填写清楚2、考生须用钢笔或圆珠笔将答案直接答在试卷上,答在草稿纸上无效3、本试卷共8 页,五大题24 小题,满分150 分,考试时间120 分钟一、选择题(本大题共6 小题,每小题4 分,满分24 分)1、极限)3sin1sin2(limxxxxx()A.0B.2C.3D.52、设)4(sin)2()(2xxxxxf,则函数)(xf的第一类间断点的个数为()A.0B.1C.2D.33、设232152)(xxxf,则函数
2、)(xf()A.只有一个最大值B.只有一个极小值C.既有极大值又有极小值D.没有极值4、设yxz3)2ln(在点)1,1(处的全微分为()A.dydx3B.dydx3C.dydx321D.dydx3215、二次积分dxyxfdyy),(101在极坐标系下可化为()A.dfd)sin,cos(40sec0B.dfd)sin,cos(40sec0C.dfd)sin,cos(24sec0D.dfd)sin,cos(24sec06、下列级数中条件收敛的是()A.12)1(1nnnnB.1)23()1(nnnC.12)1(nnnD.1)1(nnn二、填空题(本大题共6 小题,每小题4 分,共 24 分)
3、7 要使函数xxxf1)21()(在点0 x处连续,则需补充定义)0(f_8、设函数xexxxy22212(),则)0()7(y_第 1 页,共 8 页9、设)0(xxyx,则函数y的微分dy_10、设向量ba,互相垂直,且,23 ba,则ba2_11、设反常积分21dxeax,则常数a_12、幂级数nnnnxn)3(3)1(1的收敛域为 _三、计算题(本大题共8 小题,每小题8 分,共 64 分)13、求极限)1ln(2cos2lim320 xxxxx14、设函数)(xyy由参数方程ttyttxln212所确定,求22,dxyddxdy15、求不定积分dxxx2cos1216、计算定积分dx
4、xx21121第 2 页,共 8 页文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I
5、7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9
6、E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V
7、10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H
8、9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:C
9、O9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP
10、2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U117、已知平面通过)3,2,1(M与x轴,求通过)1,1,1(N且与平面平行,又与x轴垂直的直线方程18、设函数)(),(22yxxyxfz,其中函数f具有二阶连续偏导数,函数具有二阶连续导数,求yxz219、已知函数)(xf的
11、一个原函数为xxe,求微分方程)(44xfyyy的通解20、计算二重积分Dydxdy,其中 D 是由曲线1-xy,直线xy21及x轴所围成的平面闭区域第 3 页,共 8 页文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E
12、2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V1
13、0G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9
14、I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO
15、9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2
16、V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6
17、H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1四、综合题(本大题共2 小题,每小题10 分,共 20 分)21、在抛物线)0(2xxy上求
18、一点P,使该抛物线与其在点P处的切线及x轴所围成的平面图形的面积为32,并求该平面图形绕x轴旋转一周所形成的旋转体的体积22、已知定义在),(上的可导函数)(xf满足方程3)(4)(31xdttfxxfx,试求:(1)函数)(xf的表达式;(2)函数)(xf的单调区间与极值;(3)曲线)(xfy的凹凸区间与拐点五、证明题(本大题共2 小题,每小题9 分,共 18 分)23、证明:当10 x时,361arcsinxxx24、设0)0(0)()(20 xgxxdttgxfx,其中函数)(xg在),(上连续,且3cos1)(lim0 xxgx证明:函数)(xf在0 x处可导,且21)0(f第 4 页
19、,共 8 页文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO
20、9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2
21、V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6
22、H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:
23、CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 H
24、P2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 Z
25、E6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1文档编码:CO9E2C1O6D3 HP2V10G6T2X2 ZE6H9I7M8U1一选择题1-5 B C C A B D 二填空题7-12 2e128dxxxn)ln1(52ln6,0(三计算题13、求极限)1ln(2cos2lim320 xxxxx原式=30304202sinlim4sin22lim2cos2limxxxxxxxx
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