设复数Z满足(1-i)Z=2i,则Z=(___)

2025-05-17 12:05:28
推荐回答(1个)
回答1:

设复数z满足(1-i)z=2i,则z=(  )
A.-1+i B.-1-i C.1+i D.1-i
∵复数z满足z(1-i)=2i,
∴z=2i/1-i=2i(1+i)/(1-i)(1+i)=-1+i
故选A.