题目内容
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231807197901462.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231807198211114.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823180719852944.gif)
解
·········1分
··············2分
·········5分
··········6分
·········7分
·········8分
····9分
·········10分
·········11分
又当直线
斜率不存在时,直线方程为
=2,中点为(2,0)满足上述方程,
所以,所求中点N的轨迹方程为:
·························13分
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231807198681595.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231807198831145.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231807199611606.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231807199771512.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231807200081669.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231807200241322.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231807200391544.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823180720102796.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823180720133672.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231807201491046.gif)
又当直线
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823180720164185.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823180720180187.gif)
所以,所求中点N的轨迹方程为:
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823180720195548.gif)
略
![](http://thumb.zyjl.cn/images/loading.gif)
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