已知平面上三个定点
,
,
.求经过
,
,
三点的圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311497849126f1aaf1da0ec75602eabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d03fa28c117649b0fdfe17eed7b583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2aab2b5d023db00c50ba74445e3458.png)
![](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)
更新时间:2018-03-29 16:42:12
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【推荐1】(1)已知圆心在
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的圆与
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(2)过点
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:
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1294434b22cb5133043a2270ae1c43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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【推荐2】为了开发古城旅游观光,镇政府决定在护城河上建一座圆形拱桥,河面跨度
为32米,拱桥顶点C离河面8米,
![](https://img.xkw.com/dksih/QBM/2021/11/19/2854684251701248/2857008539721728/STEM/f0e3072df72f4f2b955b7d1fcd7faf69.png?resizew=279)
(1)如果以跨度
所在直线为
轴,以
中垂线为
轴建立如图的直角坐标系,试求出该圆形拱桥所在圆的方程;
(2)现有游船船宽8米,船顶离水面7米,为保证安全,要求行船顶部与拱桥顶部的竖直方向高度差至少要
米.问这条船能否顺利通过这座拱桥,并说出理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/2021/11/19/2854684251701248/2857008539721728/STEM/f0e3072df72f4f2b955b7d1fcd7faf69.png?resizew=279)
(1)如果以跨度
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)现有游船船宽8米,船顶离水面7米,为保证安全,要求行船顶部与拱桥顶部的竖直方向高度差至少要
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec818fc0754296163206e1e8870f9e6.png)
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解题方法
【推荐1】已知圆C过点
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(1)求圆C的方程;
(2)求圆C关于直线
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9590350ec9b315c1bf217c6a108837.png)
(1)求圆C的方程;
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31c4f39399ec245a67db2933ed639f2.png)
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【推荐2】已知△ABC三个顶点坐标分别为:
,直线
经过点
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与⊙M相切,求直线
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8b0f6635f530458dcd59ce0afb002f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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