名校
解题方法
1 . 已知向量
与实轴正向的夹角为
,向量
对应的复数
的模为1,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d850c2157b5355cb1c718b4577483cb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e5fa72f2878b476bc57f0df12d6555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d850c2157b5355cb1c718b4577483cb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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解题方法
2 . (1)已知复数
在复平面内对应的点分别为
,求
对应的复数
,并说明
在平面内所对应的点在第几象限?
(2)已知复数
分别对应向量
(
为原点),若向量
对应的复数为纯虚数,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c59c8177542f19a07eaf51ad7c27e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1fe2d802f2b37e7db198c5a3c1df9a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(2)已知复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba1367f11b4c21128f307c979463b2ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a32b5ad154b42a79a83c1cc20af0da8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f904b079c6e1bb9d346f1572863a91c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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