(完整word版)江苏省2012年专转本高数真题及答案.pdf
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)(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）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dxxx21121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 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 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 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 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 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 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 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: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 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 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 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 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 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 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，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: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 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 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 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 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 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=30304202sinlim4sin22lim2cos2limxxxxxxxxxxxx121621lim6cos1lim22020 xxxxxx14、设函数)(xyy由参数方程ttyttxln212所确定，求22,dxyddxdy原式=ttttdtdxdtdydxdy21122212112)()(22222tttdtdxdtdxdyddxdxdyddxyd15、求不定积分dxxx2cos12原式=)12(tantan)12(tan)12(cos122xxdxxxdxdxxxCxxxxdxxxcosln2tan)12(tan2tan)12(16、计算定积分dxxx21121原式=令tx12，则原式=613arctan211221312312tdttdtttt第 5 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 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 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 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 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 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 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 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轴垂直的直线方程解：平面的法向量)2,3,0(iOMn，直线方向向量为)3,2,0(inS,直线方程：312101zyx18、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yxz2解：xyffxz221yxfxyfxfyxz2222212219、已知函数)(xf的一个原函数为xxe，求微分方程)(44xfyyy的通解解：xxexxexf)1()()(，先求044yyy的通解，特征方程：0442rr，221、r，齐次方程的通解为xexCCY221)(.令特解为xeBAxy)(，代入原方程得：1969xBAAx，有待定系数法得：19619BAA，解得27191BA，所以通解为xxexexCCY)27191()(22120、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原式=12102121yydxydy.第 6 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 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 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 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 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 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 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 ZE6H9I7M8U1四综合题21、在抛物线)0(2xxy上求一点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解：设P点)0)(,(0200 xxx，则02xk切，切线：)(2,0020 xxxxy即xxxy0202,，由题意32)2(200020 xdyyxxy，得20 x，)4,2(P1516)44(212204xdxxdxVx22、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的凹凸区间与拐点解：（1）已知3)(4)(31xdttfxxfx两边同时对x求导得：23)(4)()(xxfxf xxf即：xyxy33，则323cxxy由题意得：2)1(f，1c，则323)(xxxf（2）2,0,063)(212xxxxxf列表讨论得在),2()0,(单调递增，在)2,0(单调递减。极大值0)0(f，极小值4)2(f（3）1,066)(xxxf列表讨论得在)1,(凹，在),1(凸。拐点)2,1(五、证明题23、证明：当10 x时，361arcsinxxx解：令0)0(,61arcsin)(3fxxxxf,0)0(,21111)(22fxxxf0)1)1(1()1()(3232xxxxxxf，在10 x，)(xf单调递增，第 7 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 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 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 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 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 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 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 ZE6H9I7M8U10)0()(fxf，所以在10 x，)(xf单调递增，则有0)0()(fxf，得证。24、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解：因为3cos1)(lim0 xxgx，即321)(lim20 xxgx所以有23)(lim20 xxgx又因为)(xg在),(上连续，所以0)(lim)0(0 xggx，则)0(2123313
