1 . 已知点
在抛物线
上运动,过点
的两直线
与圆
相切,切点分别为
,当
取最小值时,直线
的方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/617d3975f2f3a55ebe30ec8001db6052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0873a0f3245544b4451ec5d2570dbe41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/228bf1b66b2651cb40ec6912fc84b115.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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2024-02-29更新
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3卷引用:四川省大数据精准教学联盟2024届高三第一次统一监测理科数学试题
2 . 圆
与圆
的公共弦的长度为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a55f7a00afbbd60719d80a304c78464c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:四川省眉山市彭山区第一中学2023-2024学年高二下学期开学考试数学试题
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3 . 已知圆
,圆
,直线
.若直线
与圆
交于
两点,与圆
交于
两点,
分别为
的中点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098658ddd8826dc6637297e1e6c7acdc.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bf7d969ee6f3131219a0ae5d40e971e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbd271f008e07631f71d7e146ae8d94b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f61de965b9d38982e5a75af2737e57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764c199d659322854377a92fee97642d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098658ddd8826dc6637297e1e6c7acdc.png)
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2024-02-27更新
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4卷引用:四川省绵阳南山中学2024届高三下学期4月绵阳三诊热身考试文科数学试题
四川省绵阳南山中学2024届高三下学期4月绵阳三诊热身考试文科数学试题黑龙江省哈尔滨市第三中学校2024届高三学年第一次模拟考试数学试卷(已下线)第1讲:直线系与圆系的应用【讲】(已下线)2024年高考数学全真模拟卷07(新题型地区专用)
4 . 已知圆
过点
,且与直线
相切于点
.
(1)求圆
的标准方程;
(2)求圆
与圆
的公共弦长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3654254401fc902c3cb4912969f21f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cb3e0b614f6571ee55c33ac08c9a4a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad42625f296d2a4b65180e2f7b776beb.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3901818136c70ec032e852208da1663.png)
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名校
5 . 以下四个命题表述正确的是( )
A.直线![]() ![]() |
B.圆![]() ![]() ![]() |
C.曲线![]() ![]() |
D.已知圆![]() ![]() ![]() ![]() |
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6 . 平面直角坐标系内,与点
的距离为
且与圆
相切的直线有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c59f0e35b7ae5206e45878934482b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e9ab8e517d2aabf1a664eaf65a4f5e7.png)
A.1条 | B.2条 | C.3条 | D.4条 |
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7 . 已知圆
,圆
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/021b808a21cb6be07be8b83777eabba9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d645681e7f93173c815b1cfabdf883c.png)
A.若点![]() ![]() ![]() |
B.若圆![]() ![]() ![]() |
C.圆![]() ![]() |
D.过点![]() ![]() ![]() ![]() ![]() ![]() |
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解题方法
8 . 已知圆
,两点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fd030f24e5c9212929da6b7f57c006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
(1)若r=8,直线l过点B且被圆C所截的弦长为6,求直线l的截距式方程;
(2)动点
满足
,若P的轨迹与圆C有公共点,求半径r的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5750ac362440ebb1b3d1024be72819a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fd030f24e5c9212929da6b7f57c006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
(1)若r=8,直线l过点B且被圆C所截的弦长为6,求直线l的截距式方程;
(2)动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe6cc453ee99aa39fca53adad145832.png)
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9 . 在平面直角坐标系
中,已知圆
,若圆
上存在点P,由点P向圆C引一条切线,切点为M,且满足
,则实数a的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5dac36040d1be181a70527b0875701f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70506184daab999669b48b26e6aa00f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb49d4cf219518e1f21375a14bfb38e8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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2024高二上·全国·专题练习
名校
10 . 已知圆
和圆
,则圆
与圆
的公切线有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd3cffcca7f4d0912701679a6ad5b44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e87adc8368d75e4364dbfc84e37e8f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
A.1条 | B.2条 | C.3条 | D.4条 |
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四川省绵阳市江油市太白中学2023-2024学年高二下学期开学考试数学试题(已下线)人教A版高二上学期【期中押题卷01】(测试范围:1.1~3.1)(原卷版)山东省济宁市第一中学2024届高三上学期期末数学试题