选择题复数z+1=(z-1)i,则Z的值是?A:i B:-i C:1+i D:1-i

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选择题复数z+1=(z-1)i,则Z的值是?A:iB:-iC:1+iD:1-i选择题复数z+1=(z-1)i,则Z的值是?A:iB:-iC:1+iD:1-i选择题复数z+1=(z-1)i,则Z的值是?

选择题复数z+1=(z-1)i,则Z的值是?A:i B:-i C:1+i D:1-i
选择题复数z+1=(z-1)i,则Z的值是?A:i B:-i C:1+i D:1-i

选择题复数z+1=(z-1)i,则Z的值是?A:i B:-i C:1+i D:1-i
B:-i
z+1=zi-i
z-zi=-1-i
z(1-i)=-(1+i)
z=-(1+i)/(1-i)
z=-(1+i)(1+i)/(1-i)(1+i)
z=-(i^2+2i+1)/(1-i^2)
z=-(2i/2)
z=-i 够详细了吧.

(1-i)z=-i-1 ,z=-(i+1)^2/2=-i
B