问题:

已知复数z=(√3+i)/((1-√3i)^2),则|z|=(A)1/4(B)1/2(C)1(D)2

更新时间:2024-04-27 13:49:36

问题描述:

江胜男回答:

  z=(√3+i)/[1-√3i)²]

  =(√3+i)/(-2-2√3i)

  =-(√3+i)/[2(1+√3i)]

  =-(√3+i)(1-√3i)/4

  =-(2√3-2i)/4

  =-(√3-i)/4

  |z|=(1/4)√[(√3)²+(-1)²]=2/4=1/2

  选B