解题方法
1 . 如图是台球赛实战的一个截图.白球在
点处击中一球后,直线到达台球桌内侧边沿点
,反弹后直线到达台球桌内侧另一边沿点
,再次反弹后直线击中桌面上点
处一球.以台球桌面内侧边沿所在直线为坐标轴建立如图所示的平面直角坐标系.已知
,
.
![](https://img.xkw.com/dksih/QBM/2021/7/1/2754872792399872/2780215330521088/STEM/1ecd5ad9-6805-4445-8480-b614dd82b3fc.png?resizew=355)
(1)求直线
的方程;
(2)若点
的坐标是
,求
.
(提示:直线
与直线
的斜率互为相反数,
.)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c59f0e35b7ae5206e45878934482b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d8f8f9a0d33fe55f7734f6278db6c0.png)
![](https://img.xkw.com/dksih/QBM/2021/7/1/2754872792399872/2780215330521088/STEM/1ecd5ad9-6805-4445-8480-b614dd82b3fc.png?resizew=355)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4da935dce772e193b50f397c5c13d938.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
(提示:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bdb3995265a321989202ff01001013d.png)
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2021-08-06更新
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4卷引用:四川省达州市2020-2021学年高一下学期期末数学(文)试题
四川省达州市2020-2021学年高一下学期期末数学(文)试题四川省达州市2020-2021学年高一下学期期末数学(理)试题(已下线)专题2.5 直线的方程(二)-重难点题型精讲-2021-2022学年高二数学举一反三系列(人教A版2019选择性必修第一册)(已下线)专题2.5 直线的方程(二)-重难点题型精讲-2022-2023学年高二数学举一反三系列(人教A版2019选择性必修第一册)