2020高二·浙江·专题练习
名校
1 . 平面直角坐标系
中,已知
,
,在
中,
边上的中线所在直线的方程为
,
边上的高所在的直线斜率为
.
(1)求直线
的方程;
(2)求以
为直径的圆的标准方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/009d9a513bf2baf239aa2a6df7f5498a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ba2638fbaede8083b9566394ce81eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)求以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
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2020-01-05更新
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4卷引用:浙江省杭州市第二中学2019-2020学年高二上学期期中数学试题
浙江省杭州市第二中学2019-2020学年高二上学期期中数学试题(已下线)【新东方】杭州高二数学试卷231人教B版(2019) 选择性必修第一册 过关斩将 第二章 平面解析几何 2.3 圆及其方程 2.3.1 圆的标准方程(已下线)2.1 圆的方程-2021-2022学年高二数学同步精品课堂讲+例+测(苏教版2019选择性必修第一册)
2020高二·浙江·专题练习
名校
2 . 已知圆
,则圆心
的坐标为______ ;圆
的半径为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af30cd5819db0918db4ae9db1aa0be47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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3 . 已知点
,圆
:
,过点
的动直线
与圆
交于
,
两点,线段
的中点为
,
为坐标原点.
(1)求
的轨迹方程;
(2)当
时,求
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2007972af3341f27fbc32ce62dfce5e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a856b8af5ab091f33f85d15b27a7ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/367dcef1b085f5a49f70d6ca02b731ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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4 . 过点
作互相垂直的直线
,
,
交
正半轴于
点,
交
正半轴于
点,则线段
中点
轨迹方程为_______________________ ;过原点
与
、
、
四点的圆半径的最小值为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266504a4bd910b292c74765dc9772f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/c5db41a1f31d6baee7c69990811edb9f.png)
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2019-12-28更新
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2卷引用:浙江省金华市金华第一中学2018-2019学年高二上学期期中数学试题
5 . 已知圆
经过两点
,
,且圆心在直线
上,直线
的方程
.
(1)求圆
的方程;
(2)求直线
被圆
截得的弦长最短时的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048dbcb679f8a85480f73e96b09124af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9622a54137cb19535fcd889dc54e8f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12e35701dd16dbf6ec916064880b8b52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7c6fa5f380f04369e21efeb7ee9ed1.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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6 . 已知关于x,y的方程x2+y2﹣4x+4y+m=0表示一个圆.
(1)求实数m的取值范围;
(2)若m=4,过点P(0,2)的直线l与圆相切,求出直线l的方程.
(1)求实数m的取值范围;
(2)若m=4,过点P(0,2)的直线l与圆相切,求出直线l的方程.
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7 . 圆x2+y2﹣4x﹣4y﹣8=0的圆心坐标为_____ ,半径为_____ .
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8 . 圆C:x2+y2-8x-2y=0的圆心坐标是____ ;关于直线l:y=x-1对称的圆C'的方程为_ .
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9 . 方程
表示圆C中,则圆C面积的最小值等于________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d21e492a5c1e04e497a6b297eae19d75.png)
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2019-12-02更新
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3卷引用:浙江省宁波诺丁汉大学附中2019-2020学年高二上学期期中考试数学试题
浙江省宁波诺丁汉大学附中2019-2020学年高二上学期期中考试数学试题广东省深圳市红岭中学2019-2020学年高二上学期第二学段(期末)数学试题(已下线)专题08 圆的方程-2020-2021学年高中数学新教材人教A版选择性必修配套提升训练
10 . 已知
,若方程
表示圆,则圆心坐标为____ ;
的取值范围是____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2725a89d93c791f7a0098f4964587905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/753210ec3e44e0a8ee239860d51a1e1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2019-09-12更新
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6卷引用:浙江省宁波市慈溪市三山高级中学等六校2019-2020学年高二上学期期中数学试题