> 数学 >
已知z1=5+10i,z2=3-4i,
1
z
1
z1
+
1
z2
,求z.
人气:263 ℃ 时间:2020-04-17 19:49:57
解答
1
z
1
z1
+
1
z2
z1+z2
z1z2

z=
z1z2
z1+z1

又∵z1=5+10i,z2=3-4i
z=
(5+10i)(3−4i)
5+10i+3−4i
55+10i
8+6i
(55+10i)(8−6i)
(8+6i)(8−6i)
= 5−
5
2
i
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