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