福师《复变函数》在线作业一-0001

adminhan

&nbsp;<img height="149" alt="" width="348" src="http://file.open.com.cn/ItemDB/11177/84dbd977-5109-4b43-ac17-361f7b39cf47/20091090355966.gif" />
A:A
B:B
C:C
D:D

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20060929/184105e0.JPG"></IMG>
A:A
B:B
C:C
D:D

下列关于解析函数的实部函数与虚部函数说法错误的是（）
A:实部函数与虚部函数都是解析函数
B:实部函数与虚部函数都是调和函数
C:实部函数与虚部函数共轭调和
D:已知实部函数，可以用偏积分法求虚部函数

下列说法错误的是：关于整函数有（）
A:整函数的零点必定是孤立点
B:整函数在一段连续曲线上都取值0则处处为0
C:在闭区域内，整函数必定在边界上取到模的最大值
D:整函数在整个复平面上无法取到模的最大值

<p>题见下图</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20061008/e1c7e73e.JPG" /></p>
A:A
B:B
C:C
D:D

<p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20060929/ade81106.JPG" /></p><p>。</p>
A:A
B:B
C:C
D:D

&nbsp; <img height="136" alt="" width="338" src="http://file.open.com.cn/ItemDB/11177/3aa3d419-94ad-419a-aed0-2402894c23cb/2009108235924292.gif" />
A:A
B:B
C:C
D:D

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20060929/f9f07c1f.JPG"></IMG>
A:A
B:B
C:C
D:D

&nbsp;<img height="132" alt="" width="449" src="http://file.open.com.cn/ItemDB/11177/6cf22895-a897-42c3-b789-452c3339a933/2009111417146392.gif" />
A:A
B:B
C:C
D:D

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20060929/e1c7e73e.JPG"></IMG>
A:A
B:B
C:C
D:D

复函数f(z)在单连通区域B内解析，C为B内任一闭路，则必有（）
A:Ref(z)沿C积分为0
B:Imf(z)沿C积分为0
C:|f(z)|沿C积分为0
D:以上都不一定

关于泰勒级数和洛朗级数的区别，下列说法错误的是（）
A:收敛区域形状一定不同
B:泰勒级数能表示的解析函数类型不如洛朗级数广
C:泰勒级数是洛朗级数的特例
D:洛朗级数是泰勒级数的推广

z0是f(z)的m（m为大于1的正整数）级零点，那么z0是f(z)导数的（）
A:可去奇点
B:m-1级零点
C:m-1级极点
D:本性奇点

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20060929/911b77ce.JPG"></IMG>
A:A
B:B
C:C
D:D

下列说法错误的是：解析函数在一点解析，则（）
A:则在一个区域内每点都解析
B:存在任意阶导数，且导数解析
C:可以展开成幂级数
D:展开成的幂级数在复平面上处处收敛

&nbsp; <img height="136" alt="" width="617" src="http://file.open.com.cn/ItemDB/11177/48e89512-f647-41a9-9f38-8d6504ec823c/200910823403649.gif" />
A:A
B:B
C:C
D:D

&nbsp;<img height="145" alt="" width="504" src="http://file.open.com.cn/ItemDB/11177/6a9c0dad-9be1-46cb-9817-76a5c87e42f7/20091090648389.gif" />
A:A
B:B
C:C
D:D

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20061008/04488fb0.JPG"></IMG>
A:A
B:B
C:C
D:D

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20061008/68b4f7d3.JPG"></IMG>
A:A
B:B
C:C
D:D

z=0是f(z)=(cosz-1)/z的（）
A:可去奇点
B:极点
C:本性奇点
D:非孤立奇点

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20061008/2d1dbe7a.JPG"></IMG>
A:A
B:B
C:C
D:D

z0是f(z)的m（m为大于1的正整数）级极点，那么z0是f(z)导数的（）
A:可去奇点
B:m+1级零点
C:m+1级极点
D:本性奇点

&nbsp;<img height="145" alt="" width="493" src="http://file.open.com.cn/ItemDB/11177/26a5072b-13bd-4b6e-961b-b63a94d787f6/20091114172235774.gif" />
A:A
B:B
C:C
D:D

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20061008/7f71add5.JPG"></IMG>
A:A
B:B
C:C
D:D

&nbsp;<img height="141" alt="" width="394" src="http://file.open.com.cn/ItemDB/11177/dfd7ca0c-dcc9-4f34-bbf2-c8f899c3e333/20091114171621631.gif" />
A:A
B:B
C:C
D:D

&nbsp;<img height="149" alt="" width="180" src="http://file.open.com.cn/ItemDB/11177/16b66bbb-600d-4597-a609-20cc880e7bf2/20091090615279.gif" />
A:A
B:B
C:C
D:D

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20061008/1bdd9132.JPG"></IMG>
A:A
B:B
C:C
D:D

&nbsp;<img height="140" alt="" width="669" src="http://file.open.com.cn/ItemDB/11177/9bc91955-14b2-48d1-be77-4452c4293243/20091114172158855.gif" />
A:A
B:B
C:C
D:D

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20061008/508f5592.JPG"></IMG>
A:A
B:B
C:C
D:D

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20060929/c5e011bd.JPG"></IMG>
A:A
B:B
C:C
D:D

&nbsp;<img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060929/6e801059.JPG" />
A:错误
B:正确

&nbsp;<img height="29" alt="" width="1014" src="http://file.open.com.cn/ItemDB/11177/3797c2f6-c058-4555-b5ba-113d3a4ddcdd/2009111418348509.gif" />
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060929/068386da.JPG"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060929/84afac83.JPG"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061008/1cc8c78c.JPG"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060929/19540167.JPG"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060929/0e42b66e.JPG"></IMG>
A:错误
B:正确

&nbsp;<img height="42" alt="" width="294" src="http://file.open.com.cn/ItemDB/11177/f73e8e80-ba16-47c1-9e18-b382db10b96c/2009111418192028.gif" />
A:错误
B:正确

&nbsp;<img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061008/5d4cc631.JPG" />
A:错误
B:正确

<span style="FONT-SIZE: 10.5pt; FONT-FAMILY: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">题面见图片 <img height="37" alt="" width="306" src="http://file.open.com.cn/ItemDB/11177/f1b9725a-ded3-42bc-bc15-e3576b7d0eb2/20081015202225264.JPG" /></span>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061008/f575a5d5.JPG"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060929/b1fe7820.JPG"></IMG>
A:错误
B:正确

&nbsp;<img height="29" alt="" width="506" src="http://file.open.com.cn/ItemDB/11177/af49c7cd-4917-4726-9a88-b7dc82133368/2009111418179145.gif" />
A:错误
B:正确

&nbsp;<img height="78" alt="" width="490" src="http://file.open.com.cn/ItemDB/11177/5d7bc842-2419-4716-9e5f-d891fefcf712/20091114181942558.gif" />
A:错误
B:正确

&nbsp; <img height="29" alt="" width="470" src="http://file.open.com.cn/ItemDB/11177/73dac5d4-3e34-456c-acd6-872f88dc7701/20091114183237951.gif" />
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060929/ee874f8d.JPG"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060929/44874469.JPG"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060929/2a6353c0.JPG"></IMG>
A:错误
B:正确

<span style="FONT-SIZE: 10.5pt; FONT-FAMILY: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">题面见图片 <img height="57" alt="" width="570" src="http://file.open.com.cn/ItemDB/11177/6b0d8894-377c-4740-a60d-1ac33d8485b8/20081015201657360.JPG" /></span>
A:错误
B:正确

&nbsp;<img height="37" alt="" width="713" src="http://file.open.com.cn/ItemDB/11177/c1c27549-e11d-4414-bdb3-fbe88ce33a0b/20091114182141677.gif" />
A:错误
B:正确