名校
解题方法
1 . 如图1所示,双曲线具有光学性质:从双曲线右焦点发出的光线经过双曲线镜面反射,其反射光线的反向延长线经过双曲线的左焦点.若双曲线E:
(
,
)的左、右焦点分别为
,
,从
发出的光线经过图2中的A,B两点反射后,分别经过点C和D,且
,
,则双曲线E的离心率为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.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/4b946646c86f76a68f53e470146fa450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8915e8e775538d41debf1933102c6b86.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/10/34f826ab-caab-4841-bc4c-153c80bcdf9c.png?resizew=330)
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2023-02-09更新
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528次组卷
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5卷引用:江苏省常州市第二中学2023-2024学年高二上学期期中考试数学试题