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1、第一章复数与复变函数一、选择题1当iiz11时，5075100zzz的值等于（）（A）i（B）i（C）1（D）12设复数z满足3)2(zarc，65)2(zarc，那么z（）（A）i31（B）i3（C）i2321（D）i21233复数)2(taniz的三角表示式是（）（A）)2sin()2cos(seci（B）)23sin()23cos(seci（C）)23sin()23cos(seci（D）)2sin()2cos(seci4若z为非零复数，则22zz与zz2的关系是（）（A）zzzz222（B）zzzz222（C）zzzz222（D）不能比较大小 设yx,为实数，yixzyixz11,112
2、1且有1221zz，则动点),(yx的轨迹是（）（A）圆（B）椭圆（C）双曲线（D）抛物线一个向量顺时针旋转3，向右平移个单位，再向下平移个单位后对应的复数为i31，则原向量对应的复数是（）名师归纳总结大肚能容，容学习困难之事，学习有成第 1 页，共 29 页（A）2（B）i 31（C）i3（D）i3使得22zz成立的复数z是（）（A）不存在的（B）唯一的（C）纯虚数（D）实数设z为复数，则方程izz2的解是（）（A）i43（B）i43（C）i43（D）i43满足不等式2iziz的所有点z构成的集合是（）（A）有界区域（B）无界区域（C）有界闭区域（D）无界闭区域10方程232iz所代表的曲线
3、是（）（A）中心为i32，半径为2的圆周（B）中心为i32，半径为的圆周（C）中心为i32，半径为2的圆周（D）中心为i32，半径为的圆周11下列方程所表示的曲线中，不是圆周的为（）（A）221zz（B）433zz（C）)1(11aazaz（D）)0(0 ccaazazazz12设,5,32,1)(21izizzzf，则)(21zzf（）（A）i44（B）i44（C）i44（D）i441300)Im()Im(lim0zzzzxx（）（A）等于i（B）等于i（C）等于0（D）不存在14函数),(),()(yxivyxuzf在点000iyxz处连续的充要条件是（）（A）),(yxu在),(00yx
4、处连续（B）),(yxv在),(00yx处连续名师归纳总结大肚能容，容学习困难之事，学习有成第 2 页，共 29 页文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档
5、编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7
6、F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档
7、编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7
8、F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档
9、编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7
10、F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4（C）),(yxu和),(yxv在),(00yx处连续（D）),(),(yxvyxu在),(00yx处连续15设Cz且1z，则函数zzzzf1)(2的最小值为（）（A）3（B）2（C）1（D）1二、填空题1设)2)(3()3)(2)(1(iii
11、iiz，则z2设)2)(32(iiz，则zarg3设43)arg(,5izz，则z4复数22)3sin3(cos)5sin5(cosii的指数表示式为5以方程iz1576的根的对应点为顶点的多边形的面积为不等式522zz所表示的区域是曲线的内部方程1)1(212ziiz所表示曲线的直角坐标方程为方程iziz221所表示的曲线是连续点和的线段的垂直平分线对于映射zi，圆周1)1(22yx的像曲线为10)21(lim421zziz三、若复数z满足03)21()21(zizizz，试求2z的取值范围名师归纳总结大肚能容，容学习困难之事，学习有成第 3 页，共 29 页文档编码:CZ5I9D3V4U1
12、 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2
13、A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1
14、 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2
15、A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1
16、 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2
17、A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1
18、 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4四、设0a，在复数集C中解方程azz22.五、设复数iz，试证21zz是实数的充要条件为1z或0)(zIM.六、对于映射)1(21zz，求出圆周4z的像.七、试证.)0(0221zzz的充要条件为2121zzzz；.),2,1,0(021njkjkzzzj的充要条件为nnzzzzzz2121.八、若0)(lim0Azfxx，则存在0，使得当00zz时有Azf21)(.九、设iyxz，试证y
19、xzyx2.十、设iyxz，试讨论下列函数的连续性：1.0,00,2)(22zzyxxyzf名师归纳总结大肚能容，容学习困难之事，学习有成第 4 页，共 29 页文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK
20、4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I
21、4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK
22、4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I
23、4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK
24、4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I
25、4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I42.0,00,)(223zzyxyxzf第二章解析函数一、选择题：1函数23)(zzf在点0z处是()（A）解析的（B）可导的（C）不可导的（D）既不解析也不可导2函数)(zf在点z可导是)(zf在
26、点z解析的()（A）充分不必要条件（B）必要不充分条件（C）充分必要条件（D）既非充分条件也非必要条件3下列命题中，正确的是()（A）设yx,为实数，则1)cos(iyx（B）若0z是函数)(zf的奇点，则)(zf在点0z不可导（C）若vu,在区域D内满足柯西-黎曼方程，则ivuzf)(在D内解析（D）若)(zf在区域D内解析，则)(zif在D内也解析4下列函数中，为解析函数的是()（A）xyiyx222（B）xyix2（C）)2()1(222xxyiyx（D）33iyx5函数)Im()(2zzzf在0z处的导数()（A）等于 0 （B）等于 1 （C）等于1（D）不存在6若函数)(2)(22
27、22xaxyyiyxyxzf在复平面内处处解析，那么实常数a()（A）0（B）1（C）2（D）27如果)(zf在单位圆1z内处处为零，且1)0(f，那么在1z内)(zf()名师归纳总结大肚能容，容学习困难之事，学习有成第 5 页，共 29 页文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK
28、4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I
29、4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK
30、4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I
31、4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK
32、4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I
33、4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4（A）0（B）1（C）1（D）任意常数8设函数)(zf在区域D内有定义，则下列命题中，正确的是（A）若)(zf在D内是
34、一常数，则)(zf在D内是一常数（B）若)(Re(zf在D内是一常数，则)(zf在D内是一常数（C）若)(zf与)(zf在D内解析，则)(zf在D内是一常数（D）若)(argzf在D内是一常数，则)(zf在D内是一常数9设22)(iyxzf，则)1(if()（A）2（B）i2（C）i1（D）i2210ii的主值为()（A）0（B）1（C）2e（D）2e11ze在复平面上()（A）无可导点（B）有可导点，但不解析（C）有可导点，且在可导点集上解析（D）处处解析12设zzfsin)(，则下列命题中，不正确的是()（A）)(zf在复平面上处处解析（B）)(zf以2为周期（C）2)(izizeezf（
35、D）)(zf是无界的13设为任意实数，则1()（A）无定义（B）等于 1 （C）是复数，其实部等于1 （D）是复数，其模等于1 14下列数中，为实数的是()（A）3)1(i（B）icos（C）iln（D）ie2315设是复数，则()名师归纳总结大肚能容，容学习困难之事，学习有成第 6 页，共 29 页文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2
36、ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I
37、9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2
38、ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I
39、9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2
40、ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I
41、9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4（A）z在复平面上处处解析（B）z的模为z（C）z一般是多
42、值函数（D）z的辐角为z的辐角的倍二、填空题1设iff1)0(,1)0(，则zzfz1)(lim02设ivuzf)(在区域D内是解析的，如果vu是实常数，那么)(zf在D内是3导函数xvixuzf)(在区域D内解析的充要条件为4设2233)(yixyxzf，则)2323(if5若解析函数ivuzf)(的实部22yxu，那么)(zf6函数)Re()Im()(zzzzf仅在点z处可导7设zizzf)1(51)(5，则方程0)(zf的所有根为8复数ii的模为9)43Imln(i10方程01ze的全部解为三、设),(),()(yxivyxuzf为iyxz的解析函数，若记)2,2()2,2(),(izz
43、zzivizzzzuzzw，则0zw四、试证下列函数在z平面上解析，并分别求出其导数名师归纳总结大肚能容，容学习困难之事，学习有成第 7 页，共 29 页文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F
44、8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编
45、码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F
46、8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编
47、码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F
48、8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编
49、码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I41;sinhsincoshcos)(yxiyxzf2);sincos()sincos()(yixyyieyyyxezfxx五、设023zezww，求22,dzwddzdw.六、设0,00,)()(422zz
50、yxiyxxyzf试证)(zf在原点满足柯西-黎曼方程，但却不可导.七、已知22yxvu，试确定解析函数ivuzf)(.八、设s和n为平面向量，将s按逆时针方向旋转2即得n.如果ivuzf)(为解析函数，则有svnunvsu,（s与n分别表示沿s,n的方向导数）.九、若函数)(zf在上半平面内解析，试证函数)(zf在下半平面内解析.十、解方程iziz4cossin.名师归纳总结大肚能容，容学习困难之事，学习有成第 8 页，共 29 页文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文档编码:CZ5I9D3V4U1 HK4K7F8I9H2 ZY3B4A2A8I4文