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?待添加的隐藏文字内容33x 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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