2022高三·全国·专题练习
解题方法
1 . 已知复数
,
为虚数单位
,
.
(1)若
,求满足
的复数
所组成的集合;
(2)若
,试讨论复数
的辐角(用
表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9bcf6962547f0ac99856fe065a8ab19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579743813856e2a9183f5ec6eaaefbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4249ac51d01278563eae8684faa9bc07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b082c889a2f73a094e0e4b829540dfd3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e8d68c4a9cc22fa13ed89f87a3a57b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faecc8d94d90c11509ce555bc33ffdac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dcadd1781ee9177e9bc76ce48afdd0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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