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答案:
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1.(1)f(z)=e-1在z=0处
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2.求下列函数的(1) F(z)(3) F(z)Z反变换zz 0.5F(z)(z 0.8)(z 0.1)0.5z2(z 1)(z0.5)(4)F(z)z(z 1)( z 2)
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3.【填空题】设f(z)=z,若z 1 =3+4i,z 2 =-2-i,则f(z 1 -z 2 )=____.
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4.若f(z)=z2 2z 1,则f'(z)= _______.
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5.f(z)=sinz+z cosz在z平面上
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6.已知复数zZ 1 Z 2 |=|Z 1 -Z 2 | ∴|Z 1 Z 2 | 2 =|Z 1 -
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7.z 2f(z2)(z 1)(z 1)
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8.【填空题】1 Z,0 Z,-4 Z,0.3 Z, Z;
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9.A.x = 1; y = 1; z = 1B.x, y, z = y, z, xC.x = (y = z 1)D.x =yE.x = y = z =1
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10.如果z0是f(z)和g(z)的一个奇点,那么z0也是f(z) g(z)和f(z)/g(z)的奇点。A.正确B.错误