2014年4月全国网络统考资料《高等数学B》第4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4套模拟题及参考答案高等数学b4一选择题（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?0,1函数f?x?则f?0?0 2,x?0,?a正确 b不正确2极限lim2x?2 x?1a正确 b不正确23函数f?x?x?1在点x?0处不连续a正确 b不正确4定积分?21xdx?0a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?2x在?,?内是周期函数a正确 b不正确?x)?1 6极限lim(1x?0a.正确 b.不正确7设函数 y?2x?1，则 dy?2dxa. 正确 b. 不正确d2y8设函数y?3x，则2?3 dxa正确 b不正确29 不定积分?dx?lnx?c xa. 正确 b. 不正确10 y?3x是微分方程dy?3?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11 极限limx?1?x?1?x?12?( ) 1 c. 1 d. ? 2a. 0 b.12设函数y?cos?x?1?，则dy?（ ）a ?cos?x?1?dx b sin?x?1?dxc cos?x?1?dx d?sin?x?1?dx13设函数y?e?x?2x，则xx2dy ?（ ）dxxae?2x be?2c e?2x?2 d e?x32xx214函数f?x?x?3x的图形如图示，则函数y?f?x?的单调减少区间为( ).a?,0?b?2,?c?0,2?d. ?,?15 ddx ?3?x?dx?（ ）2a. ?2x b. 3?x c. ?x d. 3x?x16定积分222?10 (3?e?x)dx?（ ）?1?1?1 a2?e b3?e c1?e d1+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2x17 不定积分?xd3?( ) 2xx2xxa. x3?2x3dx b. x3?3ln3dx2xxc. x3?3ln3dx d. x3?2x3dx ?12x?3x 18曲线y?x?3x?1的拐点为（ ）a(?1,?3) b(1,?1) c(0,1) d(2,?3)219定积分2x ?0(x2?1)2dx?（ ）1a?11 b0 c d1 22dycosx20 微分方程 dx?yy2a2?sinx?cy2c2?cosx?c1b 2a5b 6a11a 12d17d 18b的通解是（ ） by22?sinx?c dy2 2?cosx?c 解答 3b 4a 7a 8b 9b 13c 14c 15b 19c 20a a 16a 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