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.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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