一束光线从点
射出,经x轴反射后与圆
相切,则求反射光线所在直线的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e5b39cbb3d3e0d40eaca967e6f8de61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ddc2b372bb424d613dd0f9d68c93be7.png)
更新时间:2022-11-01 20:20:39
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适中
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【推荐1】某市的两条直线公路OM,ON所围成的角形区域内有一村庄
,该市为响应党中央的乡村振兴战略,拟过村庄
修建一条公路,使之围成一个等腰三角形区域
.在区域
内建设高效生态农业示范带,促进本地农村经济发展.现利用无人机在空中测得
到公路OM,ON的距离均为10千米,
,且
.设计人员方便规划计算,在图纸上以
为坐标原点,以直线
为
轴建立如图所示平面直角坐标系
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/25/fdf24d4a-2633-4576-888b-38dd704299ff.png?resizew=211)
(1)求点
的坐标;
(2)求出公路
的长度及该示范带的总面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb802b0cd77d772dceff0d9ff6c879ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb802b0cd77d772dceff0d9ff6c879ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a84261efd0ff6fafdc55cd446c1a5f68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ebe6a6476bc99d568e2844d32fee8d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/25/fdf24d4a-2633-4576-888b-38dd704299ff.png?resizew=211)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)求出公路
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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解题方法
【推荐2】(1)如果一条直线被圆
所截得的弦长为8,且经过点
,求这条直线的方程.
(2)求经过三点
,
,
的圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a143573e9fe53e6a861154bf5b4c27c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75bb708d1450f9222c3a3a6d7682e06c.png)
(2)求经过三点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cb9e88d3e58141dba299dcd8edc4e18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ef03f452410ab19c6246567c427178.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e61dd6cbb403ec51f5af91bd0e351b6.png)
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【推荐1】已知点
,直线
.求:
(1)点A关于点P的对称点
的坐标.
(2)点A关于直线
的对称点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151c449d33e334883e5af55d233f1767.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94922febcf02e84401ab8631890532df.png)
(1)点A关于点P的对称点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
(2)点A关于直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
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解题方法
【推荐2】已知
中,
,
,角
的平分线为
轴.
(1)求点
关于
轴的对称点
的坐标及
边所在直线的方程;
(2)求
的外接圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311497849126f1aaf1da0ec75602eabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24dba5cc987db7f50f9b8e2d4544006d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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名校
【推荐1】已知圆
:
,
为圆
上任一点,
为定点,
的中点为
.求:
(1)动点
的轨迹方程;
(2)过圆
的圆心作动点
的轨迹的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e892ccfb382cdd5ee5dbb710542b1d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/241ce9bd28046ce9b90f43b391132884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)过圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
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解题方法
【推荐2】已知圆
的圆心在直线
上,且经过
,
.
(1)求圆
的方程;
(2)若直线
过点
且与圆
相切,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512f4c29ff276b7f35052ad4cc255ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e95e84f5c91c910aaafc5e74dbfbdf59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0baca988e757625c577e02752422a72d.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00d5d8cc31aaca7fc2eafb99eac7629.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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