1 . 圆
上有且仅有一个点到直线
的距离为1,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ab11ba6b230c4309e1b899eb58daae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16966ddcdafba01060154fc2b44191aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2017-11-27更新
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640次组卷
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2卷引用:山西省晋中市晋中新大陆双语学校2020-2021学年高二上学期11月检测数学试题
2 . 已知圆
和直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3528fa597c8f61877f589fae68dac939.png)
(1)求证:不论
取什么值,直线
和圆C总相交;
(2)求直线
被圆C截得的最短弦长及此时的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8365d7c7c74eed93f5b9461ce31870f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3528fa597c8f61877f589fae68dac939.png)
(1)求证:不论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2017-11-25更新
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2928次组卷
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8卷引用:山西省寿阳县第一中学2020-2021学年高二上学期第二次月考数学(文)试题
山西省寿阳县第一中学2020-2021学年高二上学期第二次月考数学(文)试题山西省康杰中学2017-2018学年高二上学期期中考试数学(文)试题(已下线)2.5.3+直线与圆的综合(基础练)-2020-2021学年高二数学十分钟同步课堂专练(人教A版选择性必修第一册)内蒙古奈曼旗第一中学2020-2021学年高二第一学期期中数学(理)试题新疆哈密市第八中学2019-2020学年高二上学期期中考试数学试题(已下线)2.5直线与圆、圆与圆的位置关系A卷第一章 直线与圆单元检测——2022-2023学年高二上学期数学北师大版(2019版)选择性必修第一册1.2 圆与圆的方程基础测试——2022-2023学年高二上学期数学北师大版(2019版)选择性必修第一册
名校
3 . 已知点
和圆
:
,从点
发出的一束光线经过
轴反射到圆周
的最短路程________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f20953302d861e6c698575bfbab1c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aa633e7ee862b62db5000895b3979f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2017-11-25更新
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2卷引用:安徽省滁州市定远县民族中学2020-2021学年高二上学期10月月考数学(文)试题
4 . 已知圆M:
与
轴相切.
(1)求
的值;
(2)求圆M在
轴上截得的弦长;
(3)若点
是直线
上的动点,过点
作直线
与圆M相切,
为切点,求四边形
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7238fef125e59100c681785ed2f28c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)求圆M在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084b7e3980ce2aba02c620e9655f84d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790ef3382b1c731f2885eecfd92c2a86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec51d1ad99e9e93296c43ed1b2b8ed5e.png)
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2017-11-20更新
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2卷引用:江苏省泰州市部分四星级学校2017-2018学年下学期高一第一次月检测数学试题
名校
5 . 已知圆
与直线
相交于
两点,若
(其中
为坐标原点),则实数
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb3c085fd808d8e93762333bdd0b8376.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9e21aa38de80da8ccaa7ce51595e7bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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名校
6 . 已知点
,⊙
.
(Ⅰ)当直线
过点
且与圆心
的距离为
时,求直线
的方程.
(Ⅱ)设过点
的直线与⊙
交于
,
两点,且
,求以线段
为直径的圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bacfc149ede71417fa599c21b5a84cb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb37f3d473c9643b90e8cc19eb0fc6c.png)
(Ⅰ)当直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(Ⅱ)设过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/aa5f499a240d5f99bf7893b42bc9492a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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2017-11-04更新
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460次组卷
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2卷引用:吉林省四平市实验中学2020-2021学年高二上学期12月月考数学文科试题
名校
7 . 在下列四个命题中,正确的命题的有__________________ .
①已知直线ax+by+c-1=0(bc>0)经过圆x2+y2-2y-5=0的圆心,则
的最小值是10;
②若圆
上有且只有两个点到直线
的距离为1,则
;
③若实数
满足
的取值范围为
;
④点M在圆
上运动,点
为定点,则|MN|的最大值是7.
①已知直线ax+by+c-1=0(bc>0)经过圆x2+y2-2y-5=0的圆心,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1a8ec3b07c54b8c81731482982a6ce.png)
②若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30c9bad45e4c13a16c98c1553760019e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3da9f4b48fc1fbc6004161d6fdd7249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7390dbbf23fd8342a85675dad6f95b0a.png)
③若实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87631ff287159469a2ccbe6ea940fb7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62259c213b012d611b6484a3ab8fa73f.png)
④点M在圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f42c99ccda5a00acc39cffc7e6696c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d513f0b1d8e13ccf3fc6109ef696db65.png)
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2017-11-01更新
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3卷引用:贵州省毕节梁才学校2017-2018学年高二上学期第一次月考(文)数学试题
8 . 过点P(1,2)的直线,将圆形区域{(x,y)|x2+y2≤9}分两部分,使这两部分的面积之差最大,则该直线的方程为( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 已知直线
将圆
所分成的两段圆弧的长度之比为1:2,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72205f560031db36f9887adcc9cf231c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2017-10-15更新
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806次组卷
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2卷引用:安徽省滁州市定远县第二中学2020-2021学年高二下学期阶段检测数学(理)试题
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10 . 圆
满足下列条件:圆心C在直线
上,与直线
相切于点P
,求圆
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/694033aa4e20853cf10f33c870007047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aefcbc03a5c916ebb20f891a0fe7e0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1362c0809439106817fa2572994bb8c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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