1 . 对于任意虚数z,
的共轭一定是______ ,
一定是______ ,
一定是______ ,
一定是______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2fa30ba241d9b987da55046e5269959.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a829e8e7de0dfdc331bb568460938f27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450d38ae1fa6ffdf679f76f9544f8942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f154981a7e3280fa6f40903730013b47.png)
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解题方法
2 . 下面命题中错误的是( )
A.![]() ![]() |
B.若两个复数的差是纯虚数,则它们一定互为共轭复数 |
C.若![]() ![]() ![]() ![]() |
D.若两个虚数的和与积都为实数,则它们互为共轭复数 |
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3 . 已知复数
的模为
.
(1)写出一个
,使得
,但
(只需要写出一个
,无需证明);
(2)设
,
,分别求
,
,
的实部(用
,
表示),并归纳得出
的实部.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
(1)写出一个
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f05368c016ed03b4c6bb3060c28add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/890fc399c79f94c5e1ceead724ae5225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c3a4ab58c39c75fcf20c703d3bee4f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54961768bc30a6ae1d7ce51e76a39a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/795493a60182973eaa42b4a65b29bb19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05ca464327f8ff9b50b7def222fafac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6115237a3bb0366c81a012f2235000d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea2a2b206d9401f69d602d558773301.png)
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