题目内容
(选修3-4).如图所示,一截面为直角三角形的玻璃棱镜ABC,
,D点在AC边 上,AD间距为L。一条光线以60°的入射角从D点射入棱镜,光线垂直BC射出,求:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250006279392109.jpg)
(1)玻璃的折射率;
(2)BC边上出射点的位置到C点的距离d。
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000627923534.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250006279392109.jpg)
(1)玻璃的折射率;
(2)BC边上出射点的位置到C点的距离d。
(1)
,(2)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000627955448.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000627970684.png)
试题分析:①如图,因为光线垂直 BC 射出,有∠β= 30°。
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250006279865089.png)
在E点发生反射,有∠α=30°。可知∠r="30°."
由折射定律:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000628001651.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000627955448.png)
②ADE为等腰三角形,DE=AD=L,
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000628017993.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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