已知复数
满足
.试判断复数
在复平面内对应的点的轨迹是什么图形,并求出轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46c926d0e5882dea7d7806c643e4deb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
更新时间:2017-04-23 15:52:26
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【知识点】 与复数模相关的轨迹(图形)问题解读
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解答题-问答题
|
适中
(0.65)
【推荐1】根据
的几何意义讨论下列各式的几何意义.
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e4e2b866b0043a32fc78326553841d3.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd24d228a1794fbe099f27b6c52c41cd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75e810dd008a51cb995c9beaaa1ccdd9.png)
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解答题-问答题
|
适中
(0.65)
名校
【推荐2】已知非零复数
,
,
;若
,
,
满足
,
.
(1)求
的值;
(2)若
所对应点
在圆
,求
所对应的点的轨迹;
(3)是否存在这样的直线
,
对应点在
上,
对应点也在直线
上?若存在,求出所有这些直线;若不存在,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c6d334cdda2dffb482842af63581e86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe64f8cca039e9cde6adcc8d69b53d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d82fee117e9f82960786e2be010f4d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adcc78b50e4eb2ef6076b0ef4fab732d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a69a92efc7bf0cf8659020be19c1f5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed1f0059c045d6669920d1c9ee7eea5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93f143ca890a2e92f28a942cbad62781.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(3)是否存在这样的直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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