已知复数z满足(根号3+3i)z=3i则z为

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已知复数z满足(根号3+3i)z=3i则z为
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已知复数z满足(根号3+3i)z=3i则z为
已知复数z满足(根号3+3i)z=3i则z为

已知复数z满足(根号3+3i)z=3i则z为
z=3i/(根号3+3i)=3i(根号3-3i)/12=(根号3i+3)/4

因为(√3+3i)z=3i
所以Z=3i/(√3+3i)=3i(√3-3i)/[( √3+3i)(√3-3i)]
=3i((√3-3i))/12=3/4+√3i/4