题目内容
已知复数z满足:|z|=1+3i-z,求
的值.
| (1+i)2(3+4i) |
| 2z |
设z=a+bi(a,b∈R),
而|z|=1+3i-z,即
-1-3i+a+bi=0,
则
,解得
,
z=-4+3i,
∴
=
=
=1.
而|z|=1+3i-z,即
| a2+b2 |
则
|
|
z=-4+3i,
∴
| (1+i)2(3+4i) |
| 2z |
| (1+i)2(3+4i) |
| 2(-4+3i) |
| (3i+4i2) |
| -4+3i |
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