名校
1 . 平面几何中有定理:若点
为锐角
的外心,直线
,
,
分别与锐角
外接圆交于另外一点
,
,
,则
.若锐角
的外接圆方程为
,且该圆与
轴的交点分别为
,
,则六边形
的面积的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfdceec9c7010b2ad114e0d72f33d97f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29c1a6aada35b8c3676d3bb72b9cec42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/b423e24a65f50b9ca1caa09c3fafdb51.png)
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2024-05-06更新
|
75次组卷
|
2卷引用:江西省抚州市金溪县第一中学等校2023-2024学年高二下学期期中考试数学试卷
解题方法
2 . 过坐标原点O作两条互相垂直的直线OA,OB,点A,B(异于点O)均在圆
上,则
面积的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ca0fb9cc2733d708ae089b37bf3794.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
A.26 | B.![]() | C.13 | D.![]() |
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3 . 莱莫恩
定理指出:过
的三个顶点
作它的外接圆的切线,分别和
所在直线交于点
,则
三点在同一条直线上,这条直线被称为三角形的
线.在平面直角坐标系
中,若三角形的三个顶点坐标分别为
,则该三角形的
线的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00af47f02e78f8a9c7c6e79d03fdaf16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/746ee1515a178948b04f535705c6f738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89fc107c4b33d6dd648b396156494ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89fc107c4b33d6dd648b396156494ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7045eebf12e8b3e1c016360a9be4da25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cf1bdc954fe4b0c7b973e8b9a6249c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7045eebf12e8b3e1c016360a9be4da25.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-03-22更新
|
952次组卷
|
2卷引用:安徽省阜阳第一中学2023-2024学年高二下学期4月月考数学试题
名校
4 . 已知圆
的一般方程为
,则圆
的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f6a96a5c814ff54e5bfa9243883cf8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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解题方法
5 . 若圆
与
轴相切,且圆心坐标为
,则圆
的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 . 圆
与圆
相交于A、B两点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168f39d12a373d597c4c0ad724335c8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794a2b32e216fa64dbbc9bfa60acf967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e78f437d506c72c3ce4ad3aa9a5ab749.png)
A.2 | B.![]() | C.![]() | D.6 |
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2024-03-03更新
|
728次组卷
|
5卷引用:湖南省邵阳市邵东市第一中学2023-2024学年高二下学期3月月考数学试题
解题方法
7 . 圆心为
且过原点的圆的一般方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0924ff22fff9f5639feb0ceeece80d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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8 . 已知圆
,则圆心
和半径
分别为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa8ec71c76d61056747152bb03077e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
9 . 数学美的表现形式不同于自然美或艺术美那样直观,它蕴藏于特有的抽象概念,公式符号,推理论证,思维方法等之中,揭示了规律性,是一种科学的真实美.平面直角坐标系中,曲线
就是一条形状优美的曲线,对于此曲线,下面结论正确的是:( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e84c5e4e64206f45f0c9074248a61c93.png)
A.直线![]() ![]() |
B.曲线![]() ![]() |
C.曲线![]() ![]() |
D.曲线![]() |
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名校
10 . 已知圆C的方程为
,则圆C的半径为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/586631cf97f1d2a17f5c5b7601651ebf.png)
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2024-02-23更新
|
318次组卷
|
2卷引用:浙江省慈溪市2023-2024学年高二上学期期末测试数学试卷