1 . 已知直线
,圆
,则直线
与圆
的位置关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcefd18333f55a3aa65c444d68feed1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caaab97b6da171d21356ed8338ead646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.相交 | B.相切 | C.相离 | D.以上都有可能 |
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2 . 与圆
有相同圆心,且过点
的圆的标准方程是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c517bf85b54edb2ec28375c8f40fc392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20660e49954f09601cbf528a7f436fca.png)
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解题方法
3 . 以两条直线
的交点为圆心,并且与直线
相切的圆的方程是_____________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced2fbf08310eee95c31a0891b23b8ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274641ca2216d05465dada099ef933e0.png)
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4 . 已知圆
的圆心与抛物线
的焦点关于直线
对称,直线
与圆
相交于
两点,且
,则圆
的方程为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2297db3c14c256b9691fbb8e5bba978.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84cef568cfe2fc12a4dec11533ada274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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5 . 鞋匠刀形是一种特殊的图形,古希腊数学家阿基米德发现该图形有许多优美的性质,如图是一个鞋匠刀形. 若
,
,点
在以
为直径的半圆弧上,以
的中点
为原点,
所在直线为
轴建立平面直角坐标系(
在第一象限),则直线
的斜率为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/17/70aa0923-09d9-4e6b-8176-325c65204cbf.png?resizew=163)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3976d08e5f9e24e76ce9579c06a8dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/17/70aa0923-09d9-4e6b-8176-325c65204cbf.png?resizew=163)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 若圆
:
与圆
:
内切,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d083eca71363f212352fb3af1c2974d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.29 | B.9 | C.![]() | D.19 |
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解题方法
7 . 已知点
,
,直线
与直线
垂直.
(1)求
的值;
(2)若圆
经过点
,且圆心
在
轴上,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e10de2c38bc918ae9e1ce62a5c70099.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15d9ec15faa08181227d9ef0ed78905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b223e007ce860f22b53122af996b8a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2024-02-14更新
|
212次组卷
|
2卷引用:广东省河源市2023-2024学年高二上学期期末考试数学试题
23-24高二上·全国·单元测试
解题方法
8 . 已知圆
和圆
关于直线
对称,则直线
的一般式方程为_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40f554357f55e67e88e6b8ca92113a96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b6d91b75bcc149e13767c8b61a76634.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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9 . 若圆被直线
平分,则圆C的半径为
您最近一年使用:0次
2024-02-12更新
|
227次组卷
|
2卷引用:四川省泸州市2023-2024学年高二上期期末统一考试数学试卷
10 . 圆
的圆心
坐标和半径
分别为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da045d7d822d1a0f9c14caf55fda5708.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次