已知复数z1的虚部为2。z2等于3减4i且Z1除以z2为纯虚数,求复数Z1

2025-03-09 13:53:31
推荐回答(2个)
回答1:

设z1=a+2i ,
z2=3-4i,
z1/z2=(a+2i)/(3-4i)=(a+2i)(3+4i)/25=(3a+6i+4ai-8)/25
=(3a-8)/25+(4a+6)i/25,
(3a-8)/25=0,a=8/3,
4*8/3+6=50/3≠0,
∴z1=8/3+2i.

回答2:

8/3+2i