已知复数z满足(2+i)(1-i)=i•z(i为虚数单位),则z=()A.-1+3iB.-1-3iC.1+3iD.1-3i-数学

题目简介

已知复数z满足(2+i)(1-i)=i•z(i为虚数单位),则z=()A.-1+3iB.-1-3iC.1+3iD.1-3i-数学

题目详情

已知复数z满足(2+i)(1-i)=i•z(i为虚数单位),则z=(  )
A.-1+3iB.-1-3iC.1+3iD.1-3i
题型:单选题难度:中档来源:绍兴模拟

答案

∵复数z满足(2+i)(1-i)=i•z,∴z=
(2+i)•(1-i)
i
=class="stub"3-i
i
=(3-i)(-i)=-1-3i,
故选 B.

更多内容推荐