1 . 已知
的顶点是
,
,
,则
的外接圆的方程是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6329198247b9c39bb31f0ce7e08f1f57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dece6336ac93855e916fb4c287cd10ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59debad0cd25aec393499db0028f17c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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名校
解题方法
2 . 已知圆
与直线
交于A,B两点,则经过点A,B,
的圆的方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54329a84abb204cecb237b2bf2ff2bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f3b4416a186069ad6dbe9d9c1ed76e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51775ad7d2e925dfbc4c9fa3ba4ee0f1.png)
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2024-02-04更新
|
1613次组卷
|
4卷引用:浙江省温州市2024届高三上学期期末考试数学试题
解题方法
3 . 已知圆C经过点
和点
,且圆心在y轴上,则圆C的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1282cc43ebf4b459832fec04d805989.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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23-24高二上·全国·课后作业
4 . 过直线
和圆
的交点且过原点的圆的方程是__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04eed461026f69fe9ab2c5dc12af8ac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a1b3c344d078f7d09f47aeb0be6b42.png)
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解题方法
5 . (1)已知圆
圆心在直线
上,且过点
,
.求圆
的标准方程;
(2)圆M经过三点:
,
,
.求圆M的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31c4f39399ec245a67db2933ed639f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8748dc55e2f45bc37fc4d84d7310f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b02af485e17e7628fd5a3ace6e0a32ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(2)圆M经过三点:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bdfc750fe0ace842a461e89f2b7b290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e755804d23862a82d32bd7f901c23c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437f923730cfbd1bc6f62738d607eca7.png)
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6 . 已知
三点,求:
(1)
的面积.
(2)
外接圆的一般方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb4fac610627a958f2e41e45b1b640b.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
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解题方法
7 . 已知三角形ABC的三个顶点为
,
,
,
(1)求三角形ABC外接圆
的方程;
(2)判断点
是否在这个圆上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f20953302d861e6c698575bfbab1c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/428426e7f2ee0502b555a87a5cef6cb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bf9ea972ce120ffe654fc0f2606a33f.png)
(1)求三角形ABC外接圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
(2)判断点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f5f48fc19d6aae1d8910bb27834f214.png)
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2023高二上·全国·专题练习
8 . 在平面直角坐标系Oxy中,二次函数
(a,
,
)的图象与x轴交于A,B两点,与y轴交于C点,经过A,B,C三个点的圆记为
.求
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80027540415bd2b98c9be19e21b5f8d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19339e3904e9541ff26b30ae5f1242b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fef27cb7cb1b666c1734c65a7aa9aa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fef27cb7cb1b666c1734c65a7aa9aa4.png)
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9 . 已知
,则
的外接圆的一般方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7e13288e0eb94f7a6b1e772b7805413.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
名校
解题方法
10 . 已知△ABC三个顶点的坐标分别为
,
,
.
(1)求AB边中线所在直线的方程;
(2)求△ABC外接圆的一般方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c84818cfbd9a885081cb4e3294eabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879472805d78656a200ef4ae2ca1ac77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ee34df0156dc705b1b2444471ff373.png)
(1)求AB边中线所在直线的方程;
(2)求△ABC外接圆的一般方程.
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