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复变函数与积分变换试题(A卷)评分标准.pdf

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1、精品资料欢迎下载20082009学年第一学期复变函数与积分变换课程考试试卷(A 卷)解答院(系)_专业班级 _ 学号_ 姓名_ 考试日期:2008年 11月 24 日考试时间:晚上 7:009:30 题号一二三四五六七八总分得分一、填空题(每空 2 分，共 20 分)1复数ii2332的主辐角为2函数)3(3)(2323yxyiyxxzf在何处可导？，何处解析？3)43(Lni的值为4级数1nnni是否收敛？；是否绝对收敛？5函数1e)(zzzf在0z点展开成泰勒(Taylor)级数的收敛半径为6区域0Im:zzD在映射zwe下的像为7映射2332)(zzzf在iz处的旋转角为8函数ttttf

2、cos)2()1()(2的 Fourier 变换为得分评卷人解答内容不得超过装订线2/0)(0,点处处不解析)2k3)/arctan(4-(ln5i是否1下半平面4/3j-e1cos-第 1 页，共 7 页精品p d f 资料可编辑资料-精品资料欢迎下载二、计算题(每题 5 分，共 20 分)13|342215d)1()1(zzzzz解：令342215)1()1()(zzzzf，则34222)1()1(11)1(zzzzzf，原式),(Res2zfi0,1)1(Res22zzfi，(3 分)izziz2)1()1(1203422(5 分)23|d1coszzzz解：0z为zzzf1cos)(

3、的本性奇点，将)(zf在0z的邻域内展开得)1!611!411!211(1cos642zzzzzz31!411!21zzz，(3 分)原式iizzi)!21(20,1cosRes2(5 分)3)1(20aacosd解：令iez，则zz21cos2，zizdd，原式zzazizd12121|2zzfizd)(21|，(2 分)函数)(zf在1|z只有一个一阶极点121aaz，(3 分)原式),(Res221zzfii122122zzazii122a(5 分)得分评卷人-第 2 页，共 7 页精品p d f 资料可编辑资料-文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8

4、U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2

5、 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8

6、U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2

7、 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8

8、U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2

9、 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8

10、U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1精品资料欢迎下载4xxxdcos052解：令5)(2zezfzi，则)(zf在上半平面只有一个一阶极点iz51，xxeIxid52),(Res21zzfiizzizei52255e，(3 分)原式IRe21525e(5 分)三、(14 分)已知yxyaxyxu22),(，求常数 a 以及二元函数),(yxv，使得viuzf)(为解析函数且满足条件iif1)(解：(1)222xu，ayu222，由02222yuxu可得1a，(3

11、分)即yxyxyxu22),(2)由yvyxxu2，ydyxv)2()(2122xyxy，(7 分)由)(22xyxvxyyu，xx)(，Cxx221)(，(11 分)22121()(2222Cyxyxiyxyxzf，(3)由iif1)(得21C，(13 分)即)2122121()(2222yxyxiyxyxzf(14 分)得分解答内容不得超过装订线2)21(2izi-第 3 页，共 7 页精品p d f 资料可编辑资料-文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:C

12、D5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5

13、S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:C

14、D5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5

15、S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:C

16、D5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5

17、S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:C

18、D5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1精品资料欢迎下载四、(14 分)将函数211)(zzf分别在0z点和iz点展开为洛朗(Laurent)级数解：(1)在0z点展开当1|z时，)(11)(2zzf02)1(nnnz；(3 分)当1|z时，)1(111)(22zzzf0221)1(1nnnzz0221)1(nnnz(6 分)(2)在iz点展开iizizizizzf211)()(1)(，当2|0iz时，iiziizzf211211)(0)2()(211nnniiziiz011)2()(nnniiz；(10 分)当2|iz时，iziizzf211)(1)(202)(

19、)2()(1nnniziiz02)()2(nnnizi(14 分)五、(6 分)求区域0Im,0Re:zzzD在映射评卷人-第 4 页，共 7 页精品p d f 资料可编辑资料-文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8

20、F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 Z

21、J9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8

22、F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 Z

23、J9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8

24、F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 Z

25、J9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1精品资料欢迎下载izizw22下的像解：令21zz，则izizw11，(3 分)(6 分)即像区域为单位圆的外部(如图)。注：本题也可由21zz，izizz112，21zw三步完

26、成。六、(10 分)求把区域23arg0,1|:zzzD映射到上半平面的共形映射解：(3 分)(7 分)(9 分)(10 分)(z)(z1)(z1)111(z)1(w)1 1(z2)(w)3/21zz23/23/211zzw11112zzz22zw23/23/211zzw或21zzizizw11-第 5 页，共 7 页精品p d f 资料可编辑资料-文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编

27、码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V

28、3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编

29、码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V

30、3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编

31、码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V

32、3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1精品资

33、料欢迎下载七、(10 分)利用 Laplace变换求解微分方程：0)(4)(2)(txtxtx，1)0(,0)0(xx解：(1)令)(sX)(tx，对方程的两边作Laplace变换得：0)(4)(21)(2sXsXssXs，(3 分)421)(2sssX)51()51(1ss，(5 分)(2)51(1)51(1521)(sssX，(8 分)(tx)(1sX)(521)51()51(eett(10 分)八、(6 分)已知幂级数0nnnza的系数满足：110aa，)2(,21naaannn，该级数在251|z内收敛到函数)(zf，证明：)(d)1()()(1216.0|2zfzfi，)6.0|(z

34、证明：(1)由题意可知，)(f在6.0|上解析，(1 分)1)(12f在6.0|上解析，(2 分)当6.0|z时，由柯西积分公式有：d)1()()(1216.0|2zfizzfz1)(12；(4 分)(2)0)(nnnzazf221)(1nnnnzaaz)()1)(12zfzzfzz)()(12zfzzfz，得分评卷人得分评卷人tt5sh51e-第 6 页，共 7 页精品p d f 资料可编辑资料-文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 H

35、O5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4

36、J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 H

37、O5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4

38、J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 H

39、O5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4

40、J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 H

41、O5A4V3A5S8 ZJ9X5G8U4J1精品资料欢迎下载)(1)(12zfzzfz；即证。(6 分)-第 7 页，共 7 页精品p d f 资料可编辑资料-文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO

42、5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J

43、1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO

44、5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J

45、1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO

46、5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1文档编码:CD5P8F3E5Q2 HO5A4V3A5S8 ZJ9X5G8U4J1

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