1 . 已知椭圆
的左右焦点
,
分别是双曲线
的左右顶点,且椭圆
的上顶点到双曲线
的渐近线的距离为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/e2f0672b-45e1-48c4-bcfd-eb6c12119de9.jpg?resizew=204)
(1)求椭圆
的方程;
(2)设P是第一象限内
上的一点,
、
的延长线分别交
于点
、
,设
、
分别为
、
的内切圆半径,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e48d1edbfb6a5a48f9a95551d1dbc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8360f854ef0a6def80ea77a31c6aa4a8.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/d83fb9ac8a18e78a4c56da79514b5ccb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/e2f0672b-45e1-48c4-bcfd-eb6c12119de9.jpg?resizew=204)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)设P是第一象限内
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86380a6d6501f6504dcb4aa5e3099f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae863e7a1f1fed09f1075de4a817c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2858005b9ae89ae080d83dcc13cf8e81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3e95410f3b4fcb0cba425b521d1f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7733784336d1592cfe38e6a629140ef0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f01d20fc53563351369c9bcb1360c410.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fd3d19b0c8b544d52b897ca30990b4.png)
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2022-11-02更新
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3卷引用:福建省漳州市第八中学2022-2023学年高二上学期期中考试数学试题