名校
解题方法
1 . 如图,双曲线
的离心率为
,实轴长为
,
,
分别为双曲线的左右焦点,过右焦点
的直线与双曲线右支交于A,B两点,其中点A在第一象限.连接
与双曲线左支交于点C,连接
分别与x,y轴交于D,E两点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/22/daff0565-e480-42a4-90c9-4cdd03dc601b.png?resizew=171)
(1)求该双曲线的标准方程;
(2)求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18483c9c195ecd922772527fa85c0fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.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/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabea664e61863b3b3279dbce607924e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/22/daff0565-e480-42a4-90c9-4cdd03dc601b.png?resizew=171)
(1)求该双曲线的标准方程;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
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2023-12-22更新
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368次组卷
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2卷引用:广东省佛山市第一中学2024届高三下学期开学预测数学试题(一)