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解题方法
1 . 已知双曲线
的左、右焦点分别为
,
.
(1)若点A的坐标是
,且
的面积为
,求双曲线C的渐近线方程;
(2)若以
为直径的圆与C的渐近线在第一象限的交点为P,且
(O为原点),求双曲线C的离心率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
(1)若点A的坐标是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ad29801f799532ee7dda9658c30e373.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2cfd997d3b66a3b8f7731b26f0ab0c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc770aeaa7849c33931b47f0af647266.png)
(2)若以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643ef7d761de0e794fc39937dc72ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0d08a832eacf576430dc50a8f9e3875.png)
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2022-11-26更新
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5卷引用:山东省淄博市临淄中学2023-2024学年高二上学期阶段性检测数学试题