问题 填空题
设z∈C,且(1+2i)
.
z
=4+3i(i为虚数单位),则z=______,|z|=______.
答案

∵(1+2i)

.
z
=4+3i,∴
.
z
=
4+3i
1+2i
=
(4+3i)(1-2i)
(1+2i)(1-2i)
=
10-5i
5
=2-i,

∴z=2+i,|z|=

5

故答案为 2+i,

5

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