2021年微积分试题集.pdf

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1、微积分试题集一季一、计算下列极限：（每题 5 分，共 10 分）4若0 x时,211sink xxx与是等价无穷小,求常数k的值.5.设sin2sin,0,()3,0,1,0sinxbxxxxxfxxaxx在0 x处连续，求,a b的值.二、导数与微分：（每题 5 分，共 25 分）1.设sin,xyx求2.xdy2求由方程yxxyee所确定的曲线()yy x在0 x处的切线方程.3利用微分近似计算,求38.024的近似值.4设2210,sin,()ln(1)0 xxxf xxx求().fx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5.求曲线5235(

2、)33fxxx的拐点.三、计算下列各题：（每小题 8 分，共 16 分）1.设某商品的价格P与需求量Q的关系为280PQ,(1)求4P时的需求弹性,并说明其经济意义.（2）求当价格P为何值时,总收益R最大？并求出此时的需求价格弹性dE.2.设()F x为()f x的原函数,且()()(1)F xf xxx,已知2(1),Fe()0,F x求().fx四、证明题：（每小题 5 分，共 10 分）1.当0 x时,证明：(1)ln(1)arctan.xxx.2.设)(xf连续且()lim8xafxxa，试证明ax是)(xf的极小值点。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、2 页，共 5 页文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I

4、4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编

5、码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A

6、7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10

7、O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5

8、Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J

9、9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1二季一、填空题（每小题4 分，本题共 20 分）函数24)2ln(1)(xxxf的定义域是若函数0,0,13sin)(xkxxxxf,在0 x处连续，

10、则k曲线xy在点)1,1(处的切线方程是xxsd)in(微分方程xyyxysin4)(53的阶数为二、单项选择题（每小题4 分，本题共20 分）设1)1(2xxf，则)(xf（）A)1(xx B2xC)2(xx D)1)(2(xx若函数 f(x)在点 x0处可导，则()是错误的A函数 f(x)在点 x0处有定义BAxfxx)(lim0，但)(0 xfAC函数 f(x)在点 x0处连续D函数 f(x)在点 x0处可微函数2)1(xy在区间)2,2(是（）A 单调增加 B 单调减少C 先增后减 D先减后增xxf xd)(（）A.cxfxf x)()(B.cxfx)(C.cxfx)(212 D.cx

11、fx)()1(下列微分方程中为可分离变量方程的是（）A.yxxydd；B.yxyxydd；C.xxyxysindd；D.)(ddxyxxy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:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5

12、Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J

13、9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD

14、7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I

15、4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编

16、码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A

17、7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10

18、O4 HX5Z10N9J9U6 ZD7E3P1I4L1三、计算题（本题共44 分，每小题11 分）计算极限4586lim224xxxxx设xyx3sin2，求yd.计算不定积分xxxdcos计算定积分xxxdln51e1四、应用题（本题16 分）欲做一个底为正方形，容积为32 立方米的长方体开口容器，怎样做法用料最省？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:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B1

19、0O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX

20、5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9

21、J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 Z

22、D7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1

23、I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档

24、编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1

25、A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1微积分初步期末试题选（一）1填空题（1）函数)2ln(1)(xxf的定义域是（2）函数24)2ln(1)(xxxf的定义域是（3）函数74)2(2xxxf，则)(xf（4）若函数0,0,13sin)(xkxxxxf在0 x处连续，则k（5）函数xxxf2)1(2，则)(xf（6）函数1322xxxy的间断点是（7）xxx1sinlim（8）若2sin4sinli

26、m0kxxx，则k2单项选择题、（1）设函数2eexxy，则该函数是（）A奇函数B偶函数C非奇非偶函数 D 既奇又偶函数（2）下列函数中为奇函数是（）AxxsinB2eexxC)1ln(2xxD2xx（3）函数)5ln(4xxxy的定义域为（）A5x B4x C 5x且0 x D5x且4x（4）设1)1(2xxf，则)(xf（）A)1(xx B2xC)2(xx D)1)(2(xx精品w o r d 学习资料 可编辑资料-精心整理-欢迎下载-第 5 页，共 5 页文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N

27、9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6

28、ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P

29、1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文

30、档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL

31、1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B

32、10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1文档编码:CL1A7A1B10O4 HX5Z10N9J9U6 ZD7E3P1I4L1