设复数Z满足|z|=1,且(3+4i)Z是纯虚数,求Z步骤……xiexie设复数Z满足|z|=1,且(3+4i)Z是纯虚数,求Z

问题描述:

设复数Z满足|z|=1,且(3+4i)Z是纯虚数,求Z
步骤……xiexie
设复数Z满足|z|=1,且(3+4i)Z是纯虚数,求Z

(3+4i)*(3-4i)i=25i
(3-4i)i=3i+4
|(3i+4)/5|=1
z=(3i+4)/5