设z=(1-根号3i)/(根号3+i)^2,则z的绝对值是?
问题描述:
设z=(1-根号3i)/(根号3+i)^2,则z的绝对值是?
答
是求Z 的模吧
z=(1-根号3i)/【3+(2根号3)i-1】
=(1-根号3i)/[2+(2根号3)i]
=(1-根号3i)[2-2根号3i]/16
= (1-根号3i)^2/8
=(1-2根号3i-3)/8
=-(1+根号3i)/4
|z|=1/2