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单选题 0201 函数在一点解析是函数在该点可导的( )条件.
学科：复变函数
时间：2026-03-20 11:28:56
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题目1单选题
0201 与复变函数f(z)=u+iv的C-R方程等价的是A. <img src="https://tihai-oss-cloud.itihey.com/img/1a4b51f7753676feb0c9273db47c4cef.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/3a1b2b4b9a0478a54c48a01ed2594e4a.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/8e65e7ce1bcf2a36ba9891a456ae57b8.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/c172f55816712fa4d7d3ee3e9bedbba0.png">
题目2单选题
0201 <img src="https://tihai-oss-cloud.itihey.com/img/1bd73f6dec0879992cfbb9be7013f1bc.webp">在<img src="https://tihai-oss-cloud.itihey.com/img/1ff2e7d7f84b0a8f0e58f8b3b0ca0d94.webp">( ).A. 不连续B. 可导C. 不可导D. 解析
题目3单选题
0201 函数在一点解析是函数在该点可导的( )条件.A. 必要非充分B. 充分非必要C. 充要D. 既非充分也非必要
题目4单选题
0201 下列函数处处不解析的是( ).A. <img src="https://tihai-oss-cloud.itihey.com/img/7d7291ca9e6b6562b8c81e3197ee63db.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/73161a8206795c2c2999a92890210a9b.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/0e0327febbd556722c56e42d241be247.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/90420bd1c65fa9fa6bfe030b8b59a411.png">
题目5单选题
0201 下列说法不正确的是( )<img src="https://tihai-oss-cloud.itihey.com/img/c222b79f0da9e840732c0a6c24177fff.png">A. <img src="https://tihai-oss-cloud.itihey.com/img/3271bc227c689995e78abff50c25b679.png">在点<img src="https://tihai-oss-cloud.itihey.com/img/02c71d8e1eaa37736692a5a8a82a35cb.png">可导<img src="https://tihai-oss-cloud.itihey.com/img/d3c4eff55f862154820128436bf8d527.png">在点<img src="https://tihai-oss-cloud.itihey.com/img/02c71d8e1eaa37736692a5a8a82a35cb.png">可微B. <img src="https://tihai-oss-cloud.itihey.com/img/3271bc227c689995e78abff50c25b679.png">在点<img src="https://tihai-oss-cloud.itihey.com/img/02c71d8e1eaa37736692a5a8a82a35cb.png">解析<img src="https://tihai-oss-cloud.itihey.com/img/d3c4eff55f862154820128436bf8d527.png">在点<img src="https://tihai-oss-cloud.itihey.com/img/02c71d8e1eaa37736692a5a8a82a35cb.png">可微C. <img src="https://tihai-oss-cloud.itihey.com/img/3271bc227c689995e78abff50c25b679.png">在区域D内解析<img src="https://tihai-oss-cloud.itihey.com/img/d3c4eff55f862154820128436bf8d527.png">在区域D可微D. <img src="https://tihai-oss-cloud.itihey.com/img/3271bc227c689995e78abff50c25b679.png">在点<img src="https://tihai-oss-cloud.itihey.com/img/02c71d8e1eaa37736692a5a8a82a35cb.png">解析<img src="https://tihai-oss-cloud.itihey.com/img/d3c4eff55f862154820128436bf8d527.png">在点<img src="https://tihai-oss-cloud.itihey.com/img/02c71d8e1eaa37736692a5a8a82a35cb.png">的某邻域内可微
题目6判断题
0201 <img src="https://tihai-oss-cloud.itihey.com/img/73161a8206795c2c2999a92890210a9b.png">在复平面上处处连续,但处处不可导.A. 正确B. 错误
题目7判断题
0201 <img src="https://tihai-oss-cloud.itihey.com/img/e64b334487fc027efbb4eead7a8eae2a.png">点不是函数<img src="https://tihai-oss-cloud.itihey.com/img/24c1b0c92939055569b20d068a9c8338.png">的奇点.A. 正确B. 错误
题目8判断题
0201 如果f'(z)在区域D内处处为零,则f(z)在D内是常数.A. 正确B. 错误
题目9判断题
0201 函数在区域内解析与可导是等价的.A. 正确B. 错误
题目10判断题
0201 若函数<img src="https://tihai-oss-cloud.itihey.com/img/514b4bcae94a199754e8ff4da14a5011.webp">在<img src="https://tihai-oss-cloud.itihey.com/img/2f10df1a7d810c3969b6f13fbe8865c3.webp">处满足Cauchy-Riemann条件,则<img src="https://tihai-oss-cloud.itihey.com/img/06d087d6dad3cf72fa83dedba3d4b0cc.webp">在<img src="https://tihai-oss-cloud.itihey.com/img/013540440fbf4fb39609d9f80eddf799.webp">解析.A. 正确B. 错误
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