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2022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().fx5.求曲线5235()33fxxx的拐点.三、计算下列各题：（每小题 8 分，共 16 分）1.设某商品

2、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。文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10

3、L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D

4、3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编

5、码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W

6、2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K

7、1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X

8、2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T

9、8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5文档编码:CG4W2I5M6K1 HF8X2H3Q1T8 ZO10L10H8D3I5二季一、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，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)

10、(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.cxfx)()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文档编码:CP2J10P9R3

11、B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW

12、4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y

13、7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG

14、4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E

15、1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编

16、码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J

17、10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5三、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

18、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？文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R

19、3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 H

20、W4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3

21、Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 Z

22、G4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5

23、E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档

24、编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5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(

25、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2sin4sinlim0kxxx，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

26、(xx B2xC)2(xx D)1)(2(xx文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B

27、3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6

28、ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B

29、5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文

30、档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP

31、2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9

32、R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5（5）当k（）时，函数0,0,2)(xkxexfx在0 x处连续.A0 B1 C2D3（6）当k（）时，函数0,0,1)(

33、2xkxxxf，在0 x处连续.A 0 B1 C2 D 1（7）函数233)(2xxxxf的间断点是（）A2,1 xx B3xC3,2,1xxx D无间断点3计算题（1）423lim222xxxx（2）329lim223xxxx（3）4586lim224xxxxx文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5

34、文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:C

35、P2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P

36、9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10

37、 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9

38、B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6

39、 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3

40、B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5微积分初步期末试题选（二）1填空题（1）曲线1)(xxf在)2,1(点的切斜率是（2）曲线xxfe)(在)1,0(点的切线方程是（3）已知xxxf3)(3，则)3(f=（4）已知xxfln)(，则)(xf=（5）若xxxfe)(，则)0(f2.单项选择题（1）若xxfxcose)(，则)0(f=（）A.2 B.1 C.-1 D.-2（2）设yxlg2，则d y（）A12dxx B1dxxln10 Cln10 xxd D1dxx（3）设)(xfy是可微函数，则)2(cosdxf（）Axxfd)2(co

41、s2 Bxxxfd22sin)2(cos Cxxxfd2sin)2(cos2 Dxxxfd22sin)2(cos（4）若3sin)(axxf，其中a是常数，则)(xf（）A 23cosax Bax6sin Cxsin Dxcos3计算题（1）设xxy12e，求y（2）设xxy3cos4sin，求y.（3）设xyx2e1，求y.（4）设xxxycosln，求y.文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V

42、3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A

43、5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:

44、CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10

45、P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B1

46、0 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A

47、9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L

48、6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5微积分初步期末试题选（三）1填空题（1）函数yx312()的单调增加区间是（2）函数1)(2axxf在区间),0(内单调增加，则a应满足2单项选择题（1）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（2）满足方程0)(xf的点一定是函数)(xfy的（）.A 极值点B最值点 C 驻点D 间断点（3）下列结论中（）不正确 A)(xf在0 xx处连续，则一定在0 x

49、处可微.B)(xf在0 xx处不连续，则一定在0 x处不可导.C可导函数的极值点一定发生在其驻点上.D函数的极值点一定发生在不可导点上.（4）下列函数在指定区间(,)上单调增加的是（）A xsin Bxe C2x Dx33应用题（1）欲做一个底为正方形，容积为108 立方米的长方体开口容器，怎样做法用料最省？（2）用钢板焊接一个容积为43m的正方形的开口水箱，已知钢板每平方米10 元，焊接费 40 元，问水箱的尺寸如何选择，可使总费最低？最低总费是多少？文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L

50、6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V3B5E1A5文档编码:CP2J10P9R3B10 HW4A9B3Y7L6 ZG4V

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