1 . ①经过点
;②与x轴相切,半径为2;③被直线
平分.从这三个条件中任选一个,补充在下面问题中,并完成解答.(注:如果选择多个条件分别解答,按第一个解答计分)
已知圆M经过点
,点
, .
(1)求圆M的方程;
(2)设
,P是圆上任意一点,当
取得最大值时,求过点P的圆M的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3b76fed893ad17bc60ee4cbe4ab524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
已知圆M经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1dab74e16403e8131f9f5b2a74f3a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4af0146cc33172061d379549fe9e291.png)
(1)求圆M的方程;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71fb572a6f07dcade5332bea766020f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f3f2cf845cdf57834ed71b61fc426b4.png)
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2024-01-11更新
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255次组卷
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3卷引用:江苏省2023-2024学年高二上学期期末迎考数学试题(B卷)
解题方法
2 . 已知圆
经过
中的三点,且半径最大.
(1)求圆
的方程;
(2)过点
的直线与圆
交于
两点(
在
轴上方),在
轴上是否存在定点
,使得
轴平分
?若存在,请求出点
的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b66ec9bf41dcc5784431ed5630f5261.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea5b6926cdb99eb58070b8720718f71a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5e8e435259ab192d798bb8bf7774cdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
您最近一年使用:0次
名校
解题方法
3 . 已知点
,
,点A关于直线
的对称点为B.
(1)求
的外接圆的方程;
(2)过点
作
的外接圆的切线,求切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bdfc750fe0ace842a461e89f2b7b290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49dd31773f55719ebd91ed3389d0de68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b979396a703fb14715ba39232f5786a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3beb19ace54322e54aae39df2293efeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2023-11-26更新
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522次组卷
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3卷引用:江苏省苏州星海实验高级中学2023-2024学年高二上学期12月月考数学试题
4 . 已知
的三个顶点分别为
,
,
,直线
经过点
.
(1)求
外接圆
的方程;
(2)若直线
与圆
相交于
两点,且
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448c0a5ee776d19ce8e42ac9a5fd27c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5590337b3868db8523eeb7f448efcf05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b847b19ddba34cb51b4620be81f792b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a21387712f056b5de612cb5e89439e81.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/355c8e295cd0e7895a7bcabb31ebcf13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2023-11-17更新
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265次组卷
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4卷引用:江苏省常熟市2023-2024学年高二上学期期中数学试题
名校
解题方法
5 . 已知圆C经过
两点,且在x轴上的截距之和为2.
(1)求圆C的标准方程;
(2)圆M与圆C关于直线
对称,求过点
且与圆M相切的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9931678fa55b6843a8933d5860f26a.png)
(1)求圆C的标准方程;
(2)圆M与圆C关于直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b979396a703fb14715ba39232f5786a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c3a2f5b0702ea9fbb9dc8904579737.png)
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2023-11-16更新
|
328次组卷
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2卷引用:江苏省扬州市扬州中学2023-2024学年高二上学期期中考试数学试题
解题方法
6 . 已知
的顶点为
,
,
.
(1)求边
的垂直平分线的一般式方程;
(2)求
的外接圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47fa3c629dc5c6a5555cf9ca8a25da0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c716b68e04a3d9551173691bddff3673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f2a2274a84b9479b4356bf41219a28b.png)
(1)求边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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名校
解题方法
7 . 已知圆
经过
三点.
(1)求圆
的一般方程;
(2)过点
的直线
与圆
交于
两点,
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/505f01ec8ee5ccb89c079d1d3415b575.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/328aaba77106396d4ca644c8b7a352e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/108b70590e2be616e7748c65767941a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2023-11-09更新
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806次组卷
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8卷引用:江苏省南通市海安市实验中学2023-2024学年高二上学期11月期中考试数学试题
8 . 如图,等腰梯形
中,
∥
,
,
间的距离为4,以线段
的中点为坐标原点
,建立如图所示的平面直角坐标系,记经过
四点的圆为圆
.
(1)求圆
的标准方程;
(2)若点
是线段
的中点,
是圆
上一动点,满足
,求动点
横坐标的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a266a892baf8eaaf081367e478f52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c4cd264c97c1f261229925cc5a6761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/29/cbec2adb-6fae-4575-a317-ba29b50ac68e.png?resizew=160)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fbd9fe572919a0436be2b67a23bd2a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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2023-11-09更新
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223次组卷
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4卷引用:江苏省苏州市2023-2024学年高二上学期11月期中调研数学试题
江苏省苏州市2023-2024学年高二上学期11月期中调研数学试题安徽省马鞍山市2023-2024学年高二上学期期中调研考试数学试题四川省绵阳市南山中学实验学校2023-2024学年高二上学期期末模拟数学试题(六)(已下线)2.1.4 圆与圆的位置关系(十大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)
9 . 分别根据下列条件求圆的标准方程:
(1)圆心为
,且与x轴相切;
(2)过三点
.
(1)圆心为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf13ca48d84880eda039b99b49dcb41.png)
(2)过三点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcea9ead70862704771a597412d6f45.png)
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解题方法
10 . 已知圆
,直线l过点
且与圆C相交A,B两点.
(1)若
为等腰直角三角形,求l的方程;
(2)当
时,求
的外接圆方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe20e41912d06dd874da9c681f7da18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530e5817131adf2c05b99ff18eb9060f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a67cf9efc28969ec51368b8f0abe104.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2023-10-09更新
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5卷引用:江苏省南通市2023-2024学年高二上学期10月质量监测数学试题
江苏省南通市2023-2024学年高二上学期10月质量监测数学试题(已下线)模块一 专题2 直线与圆的方程(2)(人教A)浙江省嘉兴市秀水高级中学2023-2024学年高二上学期10月月考数学试题(已下线)模块一 专题3 直线与圆 期末终极研习室(2023-2024学年第一学期)高二人教A版(已下线)专题10直线与圆、圆与圆的位置关系(4个知识点8种题型)-【倍速学习法】2023-2024学年高二数学核心知识点与常见题型通关讲解练(人教A版2019选修第一册)