解题方法
1 . 记复数的一个构造:从数集
中随机取出2个不同的数作为复数的实部和虚部.重复
次这样的构造,可得到
个复数,将它们的乘积记为
.已知复数具有运算性质:
,其中
.
(1)当
时,记
的取值为
,求
的分布列;
(2)当
时,求满足
的概率;
(3)求
的概率
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57640b1fd3198b4923c61a7c5fb53c61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9dc4e868a310c371ff88075d8a966a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6772d33e3e6b46834bfa6710d31d2f0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e9c3910f721303685d56a8aeaccec2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc2d3df37e73a8abea815f37dbb3fff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080bca5fd0f1ac5d834074b3e00f92bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cf2903ee65254ac0df06c3171cfec4f.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da7a625440c113848a5d7ad526d153c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
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