圆锥曲线有良好的光学性质,光线从椭圆的一个焦点发出,被椭圆反射后会经过椭圆的另一个焦点(如左图);光线从双曲线的一个焦点发出,被双曲线反射后的反射光线等效于从另一个焦点射出(如中图).封闭曲线E(如右图)是由椭圆C1:
+
= 1和双曲线C2:
-
=1在y轴右侧的一部分(实线)围成.光线从椭圆C1上一点P0出发,经过点F2,然后在曲线E内多次反射,反射点依次为P1,P2,P3,P4,…,若P0 ,P4重合,则光线从P0到P4所经过的路程为 _________ .
![](https://img.xkw.com/dksih/QBM/2022/1/22/2899996215123968/2921223153491968/STEM/728e10dd-00ef-4a30-8188-96d44e1187ad.png?resizew=168)
![](https://img.xkw.com/dksih/QBM/2022/1/22/2899996215123968/2921223153491968/STEM/7c8b3b8b-ace3-472a-9a72-12f50fb7458e.png?resizew=166)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf0cc8f46bd249898a8097ae5eafcaa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71fc382382e069792c8b326c05bee648.png)
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![](https://img.xkw.com/dksih/QBM/2022/1/22/2899996215123968/2921223153491968/STEM/728e10dd-00ef-4a30-8188-96d44e1187ad.png?resizew=168)
![](https://img.xkw.com/dksih/QBM/2022/1/22/2899996215123968/2921223153491968/STEM/7c8b3b8b-ace3-472a-9a72-12f50fb7458e.png?resizew=166)
![](https://img.xkw.com/dksih/QBM/2022/1/22/2899996215123968/2921223153491968/STEM/4a82e10d-6121-456f-b64d-7a066569909e.png?resizew=176)
21-22高二上·福建福州·期末 查看更多[5]
福建省福州第一中学2021-2022学年高二上学期期末考试数学试题(已下线)专题25 圆锥曲线的光学性质及其应用 微点2 双曲线的光学性质及其应用福建省厦门双十中学2022-2023学年高二上学期期中考试数学试题广东省中山市中山纪念中学2022-2023学年高二上学期期末数学试题福建省福州教育学院附属中学2023-2024学年高二上学期期末考试数学试题
更新时间:2022-02-21 15:46:37
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