复数z+1=(z-1)i,则z的值是( ) A.i B.-i C.1+i D.1-i
问题描述:
复数z+1=(z-1)i,则z的值是( )
A. i
B. -i
C. 1+i
D. 1-i
答
复数z+1=(z-1)i,
z=
=−1−i 1−i
=(−1−i)(1+i) (1−i)(1+i)
=−i−2i 2
故选B.