《大一期末考试微积分试题带答案.pdf》由会员分享，可在线阅读，更多相关《大一期末考试微积分试题带答案.pdf（5页珍藏版）》请在taowenge.com淘文阁网|工程机械CAD图纸|机械工程制图|CAD装配图下载|SolidWorks_CaTia_CAD_UG_PROE_设计图分享下载上搜索。
1、-第一学期期末考试试卷一、填空题(将正确答案写在答题纸的相应位置.答错或未答,该题不得分 每小题 3 分,共分.）1.xxx1sinlim0_0_.2.设1)1(lim)(2nxxnxfn，则)(xf的间断点是 _=0_.3.已知(1)2f,41)1(f,则12()xdfxdx _ _.()axx_.5 函数434)(xxxf的极大值点为 _.二、单项选择题（从下列各题四个备选答案中选出一个正确答案,并将其代码写在答题纸的相应位置.答案选错或未选者,该题不得分.每小题 3 分，共 15分.）.设)(xf的定义域为)2,1(,则)(lg xf的定义域为 _.)2lg,0(B.2lg,0)100,
2、10(D.)2,1(.2.设对任意的 x，总有)()()(xgxfx，使lim()()0 xg xx，则lim()xf x_.A存在且一定等于零B.存在但不一定等于零C.不一定存在D.一定存在 极限xxxxe21lim0_A.2e B.2e C.e D.不存在.4.设0)0(f，1)0(f，则xxfxfxtan)2()3(lim0_.A.0 B.1 C.2D.5.5.曲线221xyx渐近线的条数为 _.A0 B1C.2 D.3三、(请写出主要计算步骤及结果，分.）求20sin1limsinxxexx.四、(请写出主要计算步骤及结果,8 分.)-求210lim(cos)xxx.五、(请写出主要计
3、算步骤及结果，8 分.)确定常数,a b,使函数2(sec)0()0 xxxxf xaxbx处处可导.六、(请写出主要计算步骤及结果,8 分)设21()arctanln(1)2f xxxx，求dy.dy arc xdx 七、(请写出主要计算步骤及结果，8 分.)已知2326xxyy确定y是 x的函数，求y.八、（请写出主要计算步骤及结果,8 分.)列表求曲线523333152yxx的凹向区间及拐点.九、证明题(请写出推理步骤及结果,共 6+62 分.)1.设)(xf在,a b上连续，且(),(),f aa f bb证明在开区间(,)a b内至少存在一点,使()f.设函数)(xf在1,0上连续,
4、在)1,0(内可导,且0)1(f,求证:至少存在一点)1,0(,使得3()()0ff.第一学期期末考试参考答案与评分标准一、填空题（35=1）1、0 2、0 x 3、44、1ln1axaxxax5、3x二、单项选择题(5=1）1、C 2、C 3、A 4、B 5、D 三、（81=8)文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z
5、8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS
6、5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z
7、8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS
8、5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z
9、8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS
10、5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8-220000sin1sin1limlim2sincoslim62sin1li
11、m822xxxxxxxxexexxxexxex分分分四、（81）200ln cos1lim01sincoslim112lim(cos)268xxxxxxxxxeee分分分五、(81=）因为 fx 在,处处可导,所以 fx 在0 x处连续可导。1 分因为200lim(sec)02lim34xxxxxaxbbxb分分f分所以0b5分又因为02000lim(sec)00lim1xxxaxbfaxxxfx所以1a 8 分六、(88)22112arctan512 1arcsin6arcsin8xfxxxxxxdyxdx分分分七、（81=8)文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1
12、R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4
13、L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1
14、R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4
15、L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1
16、R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4
17、L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1
18、R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8-2222222223042272322(22)(23)(22)(26)()823(23)xyxyy yxyyxyxyyxyxyyyyxyxy分分分八、（1=8）()定义域为,；（2)2133143343121213333yxxxyxxx分分令0y得112x,又20 x为y不存在的点4分(3）列表：x1,2121,0200,y0不存在y下凹391210上凹1 下凹8分625Q时利润最大,最大利润为6251250L分九、证
19、明题(62 2)1设()()Fxfxx,则有()Fx在,a b上连续，2 分()()0,()()0,4F afaaF bf bb分根据零值定理可得在开区间(,)a b内至少存在一点，使()0F，即()f 6 分2.设3()(),F xx f x则2331()()()3Fxxfxx fx。分文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L
20、7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W
21、7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L
22、7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W
23、7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L
24、7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W
25、7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8-显然()F x在0,1内连续,在(0,1)内可导,且(0)(1)0F
26、F。分由罗尔定理知：至少存在一点(0,1)使2331()()()03()()0Fffff即3 6 分文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7
27、N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 Z
28、V1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7
29、N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 Z
30、V1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7
31、N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8文档编码:CR7F7N4L1W7 HS5H9I4D6I4 ZV1R6L7I6Z8