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大一高数期末考试题精.pdf

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1、.下载可编辑.一、单项选择题 (本大题有 4 小题,每小题 4 分,共 16 分)1.)(0),sin(cos)(处有则在设xxxxxf.（A）(0)2f（B）(0)1f（C）(0)0f（D）()fx不可导.2.）时（，则当，设133)(11)(3xxxxxx.（A）()()xx与是同阶无穷小，但不是等价无穷小；（B）()()xx与是等价无穷小；（C）()x是比()x高阶的无穷小；（D）()x是比()x高阶的无穷小.3.若()()()02xFxtx ft dt，其中()fx在区间上(1,1)二阶可导且()0fx，则（）.（A）函数()F x必在0 x处取得极大值；（B）函数

2、()F x必在0 x处取得极小值；（C）函数()F x在0 x处没有极值，但点(0,(0)F为曲线()yF x的拐点；（D）函数()F x在0 x处没有极值，点(0,(0)F也不是曲线()yF x的拐点。4.)()(,)(2)()(10 xfdttfxxfxf则是连续函数，且设（A）22x（B）222x（C）1x（D）2x.二、填空题（本大题有4 小题，每小题 4 分，共 16 分）5.xxxsin20)31(lim .6.,)(cos的一个原函数是已知xfxxxxxxfdcos)(则 .7.lim(coscoscos)22221Lnnnnnn .8.21212211arcsindxxxx .

3、三、解答题（本大题有5 小题，每小题 8 分，共 40 分）9.设函数()yy x由方程sin()1xyexy确定，求()yx以及(0)y.10.d)1(177xxxx求11.求，设132)(1020)(dxxfxxxxxexfx第 1 页，共 46 页.下载可编辑.12.设函数)(xf连续，10()()g xfxt dt，且0()limxfxAx，A为常数.求()g x并讨论()g x在0 x处的连续性.13.求微分方程2lnxyyxx满足1(1)9y的解.四、解答题（本大题 10 分）14.已知上半平面一曲线)0()(xxyy，过点(,)01，且曲线上任一点M xy(,)00处切线斜率数值

4、上等于此曲线与x轴、y轴、直线xx0所围成面积的 2 倍与该点纵坐标之和，求此曲线方程.五、解答题（本大题10 分）15.过坐标原点作曲线xyln的切线，该切线与曲线xyln及 x 轴围成平面图形 D.(1)求 D的面积 A；(2)求 D 绕直线 x=e 旋转一周所得旋转体的体积V.六、证明题（本大题有2 小题，每小题 4 分，共 8 分）16.设函数)(xf在0,1上连续且单调递减，证明对任意的,0 1q，100()()qfx d xqfx dx.17.设函数)(xf在,0上连续，且0)(0 xdxf，0cos)(0dxxxf.证明：在,0至少存在两个不同的点21

5、,，使.0)()(21ff（提示：设xdxxfxF0)()(）一、单项选择题(本大题有 4 小题,每小题 4 分,共 16 分)1、D 2、A 3、C 4、C 二、填空题（本大题有4 小题，每小题 4 分，共 16 分）5.6e.6.cxx2)cos(21.7.2.8.3.三、解答题（本大题有5 小题，每小题 8 分，共 40 分）9.解：方程两边求导(1)cos()()0 xyeyxyxyycos()()cos()xyxyeyxyyxexxy0,0 xy，(0)1y第 2 页，共 46 页文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3

6、Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5

7、O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3

8、Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5

9、O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3

10、Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5

11、O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3

12、Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4.下载可编辑.10.解：767uxx dxdu1(1)112()7(1)71ududuuuuu原式1(ln|2ln|1|)7uuc7712ln|ln|1|77xxC11.解：1012330()2xfx dxxedxxx dx01230()1(1)xxdexdx00232cos(1sin)xxxeedx 令3214e12.解：由(0)0f，知(0)0g。100()()()xxtufu dug xfxt dtx(0)x02()()()(0)xxfxf u dugx

13、xx0200()()A(0)limlim22xxxf u duf xgxx0200()()lim()lim22xxxxfxf u duAAg xAx，()gx在0 x处连续。13.解：2lndyyxdxx22(ln)dxdxxxyeexdxC211ln39xxxCx1(1),09yC，11ln39yxxx四、解答题（本大题10分）14.解：由已知且02dxyyxy，将此方程关于x求导得yyy2特征方程：022rr解出特征根：.2,121rr第 3 页，共 46 页文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6

14、L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:C

15、D3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6

16、L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:C

17、D3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6

18、L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:C

19、D3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6

20、L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4.下载可编辑.其通解为xxeCeCy221代入初始条件yy()()001，得31,3221CC故所求曲线方程为：xxeey23132五、解答题（本大题10 分）15.解：（1）根据题意，先设切点为)ln,(00 xx，切线方程：)(1ln000 xxxxy由于切线过原点，解出ex0，从而切线方程为：xey1则平面图形面积10121)(edyeyeAy（2）三角形绕直线x=e 一周所得圆锥体体积记为V1，则2131eV曲线xyln与 x 轴及直线 x=e 所围成的图形绕直线x=e 一周所得

21、旋转体体积为 V2 1022)(dyeeVyD绕直线 x=e 旋转一周所得旋转体的体积)3125(6221eeVVV六、证明题（本大题有2 小题，每小题 4 分，共 12 分）16.证明：100()()qf x d xqf x dx100()()()qqqf x d xqf x d xf x dx10(1)()()qqqf x d xqf x dx12120,1()()12(1)()(1)()0qqffqqfqqf故有：100()()qfxd xqfx dx证毕。17.证：构造辅助函数：xdttfxFx0,)()(0。其满足在,0上连续，在),0(上可导。)()(xfxF，且0)()0(FF由

22、题设，有0000)(sincos)()(coscos)(0|dxxFxxxFxxdFxdxxf，第 4 页，共 46 页文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4

23、文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2

24、J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4

25、文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2

26、J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4

27、文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2

28、J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4.下载可编辑.有00sin)(xdxxF，由积分中值定理，存在),0(，使0sin)(F即0)(F综上可知),0(,0)()()0(FFF.在区间,0上分别应用罗尔定理，知存在),0(1和),(2，使0)(1F及0)(2F，即0)()(21

29、ff.高等数学 I 解答一、单项选择题（在每个小题四个备选答案中选出一个正确答案，填在题末的括号中）(本大题有 4 小题,每小题 4 分,共 16分)1.当0 xx时，,xx都是无穷小，则当0 xx时（D ）不一定是无穷小.(A)xx(B)xx22(C)()(1lnxx(D)()(2xx2.极限axaxax1sinsinlim的值是（C ）.（A）1（B）e（C）aecot（D）aetan3.001sin)(2xaxxexxfax在0 x处连续，则 a =（D ）.（A）1 （B）0 （C）e（D）14.设)(xf在点xa处可导，那么hhafhafh)2()(lim0（A ）.（A）)(3af

30、（B）)(2af(C)(af（D）)(31af二、填空题（本大题有4 小题，每小题 4 分，共 16 分）5.极限)0(ln)ln(lim0axaaxx的值是a1.第 5 页，共 46 页文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:C

31、D3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6

32、L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:C

33、D3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6

34、L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:C

35、D3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6

36、L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4.下载可编辑.6.由xxyeyx2cosln确定函数y(x)，则导函数yxxeyexyxxyxyln2sin2.7.直线 l 过点M(,)12 3且与两平面xyzxyz20

37、 2356,都平行，则直线 l 的方程为131211zyx .8.求函数2)4ln(2xxy的单调递增区间为（，0）和（1，+）.三、解答题（本大题有4 小题，每小题8 分，共 32 分）9.计算极限10(1)limxxxex.解：11ln(1)12000(1)1ln(1)limlimlim2xxxxxxxeexxeeexxx10.已知：|3av，|26bv，30a bvv，求|abvv。解：1312cos1sin,135cos2baba，72ba11.设)(xf在 a，b 上连续，且,)()()(baxdttftxxFxa，试求出)(xF。解：xaxadtttfdttfxxF)()()(xa

38、xadttfxxfxxfdttfxF)()()()()()()(xfxF12.求3cos.sinxxdxx解：23cos1sinsin2xxdxxdxx2221111sinsinsincot2222xxxdxxxxC四、解答题（本大题有4 小题，每小题 8 分，共 32 分）13.求23221xxdx.令1xt第 6 页，共 46 页文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3

39、Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5

40、O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3

41、Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5

42、O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3

43、Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5

44、O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4.下载可编辑.21232

45、2)1(1111dtttt原式dtt121232arcsint1232614.求函数212xxy的极值与拐点.解：函数的定义域（，+）22)1()1)(1(2xxxy322)1()3(4xxxy令0y得x 1=1,x 2=-10)1(y x 1=1 是极大值点，0)1(yx 2=-1 是极小值点极大值1)1(y，极小值1)1(y令0y得x 3=0,x 4=3,x 5=-3x(-,-3)(-3,0)(0,3)(3,+)y+故拐点（-3，-23），（0，0）（3，23）15.求由曲线43xy与23xxy所围成的平面图形的面积.解:,xxxxxx3232431240 x xxxxx()(),.620

46、602123Sxxxdxxxxdx()()326023024334()()xxxxxx4236023402163233231645213471316.设抛物线24xy上有两点(1,3)A，(3,5)B，在弧 A B 上，求一点(,)P x y使ABP的面积最大.解：AByxABPABxyxxxABP连线方程：点到的距离的面积2104 5215235132()第 7 页，共 46 页文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L

47、6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD

48、3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L

49、6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD

50、3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L6 ZZ5O7F8G3K4文档编码:CD3N9U3Q2W5 HD2J1G9O6L

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