解题方法
1 . 已知直线
:
和圆
:
.
(1)求圆C的圆心坐标和半径;
(2)求经过圆
的圆心且与直线
垂直的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b905d12adb1d83dd79b0b6512a32ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/705d6d0a046281db9a588d76b4fc2199.png)
(1)求圆C的圆心坐标和半径;
(2)求经过圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2 . 已知动直线
与圆
恒有两个不同的交点
、
.设弦
的中点为
,当
变化时,总存在定点
使得
为定值,则点
的坐标______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0792930a8804925c219b70767cb41876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fb6e9693f41a982230a768aab99df9e.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87acbf42ed0491d2203673fa53df1d98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
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3 . 已知
,
是平面内两个定点,且
,则满足下列条件的动点
的轨迹为圆的是( )
![](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/55eaf0b36117ecd638c87afb8858b9df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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4 . 若方程
表示一个圆,则实数m的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49d495d160713caa0f58b7bcd49a1dcb.png)
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5 . 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.在平面直角坐标系中,曲线
就是一条形状优美的曲线,对于此曲线,下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2a7c0b1afee2eeddd714b37b0ca5f0d.png)
A.曲线![]() |
B.曲线![]() ![]() |
C.曲线![]() |
D.若![]() ![]() ![]() ![]() |
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解题方法
6 . 在△OAB中,O是坐标原点,
,
.
(1)求AB边上的高所在直线的方程;
(2)求△OAB的外接圆方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bdfc750fe0ace842a461e89f2b7b290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1282cc43ebf4b459832fec04d805989.png)
(1)求AB边上的高所在直线的方程;
(2)求△OAB的外接圆方程
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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)
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2024-02-14更新
|
211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
8 . 已知点
,圆
上两动点
满足
,且四边形
是矩形.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/14/f5676493-cdb5-4cc3-85c0-ee914fab37a3.png?resizew=144)
(1)当点
在第一象限且横坐标为3时,求
边所在直线的方程;
(2)求点
的轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0d1e4a02f6a99a4b838dcaf9541d7f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a850dd87b47b687834c071c3779615.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da6b93dbe5272a5167ff4e2918bec864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/14/f5676493-cdb5-4cc3-85c0-ee914fab37a3.png?resizew=144)
(1)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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9 . 已知点
和点
,直角
以BC为斜边,求直角顶点A的轨迹方程__________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852b303689c31189cd47bb4a3220f9fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a4597a7a96b0b5c8268ddbe013aea6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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10 . 圆
恒过的定点为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3825164ff990376fa3173685ab9fbf00.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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