11-12高三上·甘肃兰州·阶段练习
名校
解题方法
1 . 已知圆
内一定点
,
为圆上的两不同动点.
(1)若
两点关于过定点
的直线
对称,求直线
的方程.
(2)若圆
的圆心
与点
关于直线
对称,圆
与圆
交于
两点,且
,求圆
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b764455c53efd8b6fb37015728ebc95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c6ce39c72b38fa1a2b3275188b27689.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/710c58628d4a3990ac8347dfa2d2ca7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1390452547b13f34f6e2ae3f7158e1d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
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2 . 已知圆C:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4d08158fd61e70c9e46e81c793b96fe.png)
(1)若平面上有两点A(1 , 0),B(-1 , 0),点P是圆C上的动点,求使
取得最小值时点P的坐标.
(2) 若
是
轴上的动点,
分别切圆
于
两点
①若
,求直线
的方程;
②求证:直线
恒过一定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4d08158fd61e70c9e46e81c793b96fe.png)
(1)若平面上有两点A(1 , 0),B(-1 , 0),点P是圆C上的动点,求使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66194ab2c1322e97c88231947e98beff.png)
(2) 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44248a603dc96056060b874b3bb0ee8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2352fd3ab9597b8256a41675bc0404bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe3080ed8cb377910703dd956207fa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/350e954f629c1901a5cec03558319e46.png)
②求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
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2011高一·安徽黄山·学业考试
3 . 以数轴上的原点O为圆心,3为半径的扇形中,圆心角∠AOB=90°,另一个扇形是以点P为圆心,5为半径,圆心角∠CPD=60°,点P在数轴上表示实数a,如图.如果两个扇形的圆弧部分(
和
)相交,那么实数a的取值范围是__ .
![](https://img.xkw.com/dksih/QBM/2011/8/25/1570290075320320/1570290080448512/STEM/89b43a9c23ef4e238ec5495417e68eac.png?resizew=18)
![](https://img.xkw.com/dksih/QBM/2011/8/25/1570290075320320/1570290080448512/STEM/c72ab7f2b56d42fb9cf26977c1ec19be.png?resizew=18)
![](https://img.xkw.com/dksih/QBM/2011/8/25/1570290075320320/1570290080448512/STEM/a314539ca49146adb2387c98fa34ff00.png?resizew=189)
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10-11高一·辽宁铁岭·阶段练习
名校
4 . 两圆
和
的位置关系是 ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08227ca941898eb34941f446ca8b1de8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dca2415dee662897b676734cfc768d66.png)
A.相离 | B.相交 | C.内切 | D.外切 |
您最近一年使用:0次
2016-11-30更新
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1393次组卷
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5卷引用:安徽省怀宁县高河中学2023-2024学年高二上学期第一次月考数学试题