已知复数Z=跟3+i /{1-根3i}方则| i | =

问题描述:

已知复数Z=跟3+i /{1-根3i}方则| i | =

z=(√3+i)/(1-√3i)
=(√3+i)(1+√3i)/(1-3i^2)=(√3+√3i^2+4i)/4=i
|z|=1
|i|=1