解题方法
1 . 已知椭圆
.设O为原点.若点A在椭圆C上,点B在直线
上,且
,试判断直线AB与圆
的位置关系,并证明你的结论.综合性问题,对于平面内定点F(1,0)与定直线
,设d为点P到直线l的距离.若
,你知道此时动点P的轨迹是什么样的曲线吗?为什么?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689e1011525feb927bef1c8c81961c0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3825ccc273ef9a672a606432d165b866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d61985901c2bc698d72ac88f4e1eb65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4180dae966f648d368a10edf3b7e3c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d5a7572674db39a70a6d9a72c56a103.png)
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2021高二·江苏·专题练习
解题方法
2 . 在平面直角坐标系
中,直线
,
,
,
,
(
).
(1)证明直线
和
过同一个定点
,并求
到直线
的距离
;
(2)若
与
交于
点,
与
交于
点,记
,
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662ce2fa01b82f84c730d11afc6000dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f49d9c3013da5e3c3a54c0decb56c33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09105430634bbf0b5ff6ea0f126fb3a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d23314be1762a3e81b64855d81e7c71.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed0e33ce86afd345af341c43693b99c7.png)
(1)证明直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fce9427c9b17e4d3cda0c3ff3e2e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f2813ee8f26cca880b6427f5f545d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fce9427c9b17e4d3cda0c3ff3e2e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f2813ee8f26cca880b6427f5f545d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b05bf23fc23d66e05af9eb79a7a7d17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf3614b34fdc6fda470179e84cc1f693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5224a7da7fe6bc28971ce4c277f88588.png)
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