名校
解题方法
1 . 已知
,
.
(1)证明:
总与
和
相切;
(2)在(1)的条件下,若
与
在y轴右侧相切于A点,与
在y轴右侧相切于B点.直线
与
和
分别交于P,Q,M,N四点.是否存在定直线
使得对任意题干所给a,b,总有
为定值?若存在,求出
的方程;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417c20f9751c8e956eb19c23f35bb5a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ac6f5e3bea8daa9e23abad1e81113.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efcaff1c3d13407048107680ba75d317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)在(1)的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efcaff1c3d13407048107680ba75d317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e46d758ed2c2aa64e3bf3606d844ff8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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