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1、1 理工类复习题一、填空题（本题共 10 小题，每小题 2 分，满分 20 分.把正确答案填在题中横线上）1.0 x时,sin3x是比2x阶的无穷小。2.极限e1lime1nnn。3.设函数42,0(),0 xxf xxkx在0 x处连续，则k。4.函数221(1)xxyx的间断点是。5.设sin,0()ln(1),0 xxf xxx,则右导数(0)f。6.设1yxa，则()ny。7.由摆线的参数方程(sin)(1 cos)xa ttyat，所确定的函数()yy x的导数ddyx。8.极限11 ln0limsinxxx。9.()Fxxd。10.若曲线在任一点切线的斜率为2x，且过点(1,2),
2、则此曲线的方程为。二、选择题（本题共 10 小题，每小题 2 分，满分 20 分.每小题给出的四个选项中，只有一项符合题目要求，把所选项前的字母填在题号后的空格内）题号1 2 3 4 5 6 7 8 9 10 答案1.函数21(1)yx在()时是无穷大量.A、0 x；B、1x；C、2x；D、x。2.0sin 2lim3xxx()A、2；B、3；C、32；D、23。精品w o r d 学习资料 可编辑资料-精心整理-欢迎下载-第 1 页，共 5 页2 3.已知函数22,()1,1,f xxx11001xxx，则1lim()xf x和0lim()xf x()A、都存在；B、都不存在；C、第一个存在
3、,第二个不存在；D、第一个不存在,第二个存在。4.若()f x在xa点可导，则0()()limhf akhf ah()A、()k fa；B、()k fa；C、1()fak；D、1()fak。5.曲线22yxx上切线平行于直线21yx的点是()A、(2,0)；B、(2,1)；C、(2,2)；D、(2,3)。6.函数21,1sin(1),1xxyxx在1x处()A、连续且可导；B、可导但不连续；C、连续但不可导；D、不连续且不可导。7.函数2()23f xxx在区间 1,1.5上满足罗尔定理的()A、14；B、12；C、34；D1。8.函数2ln(1)yx在闭区间 1,2上的最值为()A、最大值为
4、 ln 2,最小值为1；B、最大值为 ln 2,最小值为 0；C、最大值为 ln5,最小值为1；D、最大值为 ln5,最小值为 0。9.曲线1exy的渐近线是()A、0,0 xy；B、0,1xy；C、1,0 xy；D、1,1xy。10.设()d()fxxF xC，则sin(cos)dxfxx()A、(sin)FxC；B、(sin)FxC；C、(cos)FxC；D、(cos)FxC。三、计算题（本题共 8 小题，每小题 5 分，满 40 分。解答应写出文字说明、证明过程或演算步骤）1.求极限2211lim54xxxx.2.求极限22lim333xxx.精品w o r d 学习资料 可编辑资料-精
5、心整理-欢迎下载-第 2 页，共 5 页文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1
6、R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8
7、L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5
8、H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码
9、:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J
10、4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6
11、Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H63 3.求极限32011lim1cosxxx.4.设21exy,求y.5.设2arcsinyxx,求y.6.求由方程e2yxy所
12、确定的隐函数()yy x的导数ddyx.精品w o r d 学习资料 可编辑资料-精心整理-欢迎下载-第 3 页，共 5 页文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1
13、R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8
14、L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5
15、H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码
16、:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J
17、4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6
18、Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H64 7.求不定积分343d1xxx.8.求不
19、定积分34dxx.9.求不定积分231d(1)xx.四、解答题（本题满分 7 分。解答应写出文字说明、证明过程或演算步骤）1 求函数4326122412yxxxx的凹凸区间和拐点.2.求函数32132132yxxx的单调区间和极值。精品w o r d 学习资料 可编辑资料-精心整理-欢迎下载-第 4 页，共 5 页文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6
20、Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8
21、I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1
22、R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8
23、L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5
24、H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码
25、:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J
26、4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H65 3.求曲线y 2x 33x 22x 14的拐点及凹凸区间。五、证明题（本题共 2 小题，每小题 4分，满分 8 分。解答应写出文字说明、证明过程或演算步骤）1.证明方程 sin10 xx在区间(,)22内至少有一个根.2.设 f(x)在闭区间a,b上连续,在开区间()a,b内可导,且()()0f af b.证明:在()a,b内至少存在一点,使得()()0.ff。1.用N定义证明lim11nnn.精品w o r d 学习资料 可编辑资料-精心整理
27、-欢迎下载-第 5 页，共 5 页文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2
28、ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D
29、8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文
30、档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS
31、10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U1
32、0I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6文档编码:CS10J4U10I6Q7 HB8I5D3W1R2 ZV8L7D8O5H6