4月全国网络统考资料《高等数学B》第5套模拟题及参考答案.doc

2014年4月全国网络统考资料高等数学B第5套模拟题及参考答案高等数学B5一选择题（满分20分）本大题共4个小题，每小题5分对于每小题给出的命题，认为正确请选A，认为不正确请选B。?x?1,x?1,1函数f?x?则f?1?0 2,x?1,?A正确 B不正确2极限lim?x?1?2 x?1A正确 B不正确33点x?0是函数f?x?x的间断点A正确 B不正确4定积分?5dx?0 01A正确 B不正确二选择题（满分30分）本大题共6个小题，每小题5分对于每小题给出的命题，认为正确请选A，认为不正确请选B。5 f?x?lnx在?0,?内是单调增加的函数A正确 B不正确?x2)?0 6极限lim(1x?0A.正确 B.不正确7设函数 y?x?1，则 dy?2xdxA. 正确 B. 不正确2d2y8设函数y?e，则2?e dxA正确 B不正确9不定积分?dx?3ln|x|?CA.正确 B.不正确10 y?x?1是微分方程 3xdy?x?0的解 dxA正确 B不正确三选择题（满分30分）本大题共6个小题，每小题5分在每小题给出的四个选项中，只有一项符合题目要求，把所选项前的字母答在题中相应位置上ex?1?( ) 11极限limx?0x1A. 0 B. C. ?1 D. 1 212设函数y?x?cosx，则dy?（ ） 2?C (2x?sinx)dx D?x13设函数y?x?e，则xA (2x?sinx)dx Bx?sinxdx 22?sinx?dx dy ?（ ）dxxA1 Be C1?e De14函数y?e?x的图形如图示，则在区间?,?内( ). xxA曲线y?f?x?是凸的B曲线y?f?x?是凹的C函数单调增加D. 函数单调减少15A. ddx?x?102?3x?dx?（ ） ?1332x?x B. 2x?3 C. x2?3x D. 3x?x2 3216定积分 (2x?e?x)dx?（ ）?1?1?1 A1?e B1?e C2?e D2?e四选择题（满分20分）本大题共4个小题，每小题5分在每小题给出的四个选项中，只有一项符合题目要求，把所选项前的字母答在题中相应位置上 ?117 不定积分?xdex?2?( ) x?2x?2x?2A. xe?edx B. xe?2ex?2dxC.xex?2?ex?2dx D. xex?2?2ex?2dx3218曲线y?x?3x?1的拐点为（ ）.A(1,?3) B(0,1) C(?2,?3) D(?1,?1)19定积分?012xdx?（ ）(x?1)22A?11 B0 C D1 22dyx 的通解是（ ） ?dxcosy20 微分方程x2x2Asiny?C Bsiny?C 2cosy?x2C2?C1A 2A5A 6B11D 12A17C 18D2 Dcosy?x22?C 解答 3B 4B 7A 8B 9A 13C 14B 15C 19A 20B B 16D 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