题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-27980.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-50530.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-68058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-20423.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-18666.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-20423.png)
(1)求点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-68058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-20423.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-38733.png)
(2)求反射光线所在的直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-31804.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-86984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-31804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-77280.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-38733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-18996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-11749.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-76577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-72234.png)
解析
试题分析:(Ⅰ)由
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152100-86377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152100-33010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152100-96008.png)
所以点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-68058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-20423.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-38733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-18996.png)
(Ⅱ)因为入射角等于反射角,所以
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152100-92591.png)
直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152100-33859.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152100-49642.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-31804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152100-17190.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152100-85240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-31804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152100-16038.png)
故反射光线所在的直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-31804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152100-65585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-11749.png)
解法二:
因为入射角等于反射角,所以
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152100-92591.png)
根据对称性
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152100-48160.png)
所以反射光线所在的直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-31804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152100-52387.png)
直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152100-52387.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152100-93703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-11749.png)
故反射光线所在的直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-31804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-11749.png)
(3)设与
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-31804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152101-77562.png)
根据两平行线之间的距离公式得:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152101-90711.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152101-33232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152101-58758.png)
所以与
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-31804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-77280.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-76577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152059-72234.png)
点评:解决此类题目时,要认真研究题目中所渗透出的信息和考查的知识点,弄清其本质意图,再联系相关知识,通过对知识的综合应用予以解决.
核心考点
试题【 (本题满分13分)已知光线经过已知直线和的交点, 且射到轴上一点 后被轴反射.(1)求点关于轴的对称点的坐标;(2)求反射光线所在的直线的方程.(3)】;主要考察你对直线方程的几种形式等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152045-36654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152045-96108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152045-36654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152045-96108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152040-44017.png)
已知直线m过点(-1,2),且垂直于
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152036-38167.png)
(1)求直线m;
(2)求直线m和直线l的交点。
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152031-19962.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152031-97998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152031-38616.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152031-19962.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152022-36808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152023-64640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152023-22027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152023-47644.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152024-97953.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152024-29223.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022152024-48039.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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