问题 填空题
若复数z=
(4-3i)2(-1+
3
i)
8
(1-i)12
,则|z|=______.
答案

复数z=

(4-3i)2(-1+
3
i)
8
(1-i)12

则|z|=

|(4-3i)2||(-1+
3
i)
8
|
|(1-i)12|
=
(|4-3i|)2(|-1+
3
i|)
8
(|1-i|)12

=

(
42+(-3)2
)
2
× (
(-1)2+(
3
)
2
)
8
(
12+(-1)2
)
12

=

25×28
26
=100.

故答案为:100.

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