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若复数z满足,(4+3i)z=|3-4i|,则z的虚部为()A.-35B.-45C.-35iD.-45i
题目详情
若复数z满足,(4+3i)z=|3-4i|,则z的虚部为( )
A. -3 5
B. -4 5
C. -
i3 5
D. -
i4 5
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答案和解析
由(4+3i)z=|3-4i|,得z=
=
=
=
-
i,
∴z的虚部为-
.
故选:A.
|3-4i| |
4+3i |
5 |
4+3i |
5(4-3i) |
(4+3i)(3-3i) |
4 |
5 |
3 |
5 |
∴z的虚部为-
3 |
5 |
故选:A.
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