解题方法
1 . 已知点
,
,以线段AB为直径的圆的标准方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a16a46f03535c5af872fa8fa9f21a431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4f68f688a0af020ed2aa105a1bcdb52.png)
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名校
2 . 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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2024-02-17更新
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202次组卷
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2卷引用:福建省三明市2023-2024学年高二上学期期末质量检测数学试题
3 . 已知
,
,若直线
上存在点P使得
,则实数k的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55d12701014cf53071093e8739d089b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04e2007b599aacfaa55f52cc995500c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9b9bb0f509e6f3d30858efb217c1f5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
4 . 已知复数
满足:
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be3475d32296a1d5ea88a4f3b8d12a64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7b2bb27ce28d7b1c09d2afb1610d1b.png)
A.2 | B.![]() |
C.![]() | D.3 |
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2024-01-09更新
|
1770次组卷
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9卷引用:福建省永安市第三中学高中校2023-2024学年高一下学期第一次月考数学试题
福建省永安市第三中学高中校2023-2024学年高一下学期第一次月考数学试题山东省潍坊市昌邑市第一中学2024届高三上学期模拟预测数学试题广东省广州市华南师大附中2024届高三上学期大湾区数学预测卷(二)重庆市乌江新高考协作体2024届高三上学期高考第一次联合调研抽测数学试题河北省衡水市冀州中学2024届高三第一次调研数学试题(已下线)第05讲 第七章 复数 章末重点题型大总结-【帮课堂】(人教A版2019必修第二册)(已下线)重难点7-1 圆的最值与范围问题(8题型+满分技巧+限时检测)(已下线)考点7 复数的四则运算 --2024届高考数学考点总动员【练】(已下线)专题12.2复数的几何意义-重难点突破及混淆易错规避(苏教版2019必修第二册)
解题方法
5 . 已知圆C:
与圆
的相交弦长为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/30/02fb8613-6d80-47a8-a7c5-3dcdb13d0af0.png?resizew=176)
(1)求圆C的半径R的值;
(2)若对于
的圆,已知点
,点
,
在圆C上,直线
不经过点
,且直线
,
的斜率之和为2,求证:直线MN经过一定点,并求出该定点的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d443779a9f5889e921a60e5b452a926f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6488795fe09863a60073666658f9f849.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/30/02fb8613-6d80-47a8-a7c5-3dcdb13d0af0.png?resizew=176)
(1)求圆C的半径R的值;
(2)若对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d90a07ce19faeda942343eefb8f8ebee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6362d37e7ff9f930f690cdc7d5e1f458.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.png)
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6 . 在平面直角坐标系中,两动直线
:
与
:
相交于点A, O为原点,则线段
的长度的最大值是__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/172722d11ea7e01411fa06dbb82f46ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f041971534f864cd409616c3ec3fb307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fbd49bf20f987c05b4d36e31549075c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8768df2e70b08d5a66d7f50cf66475af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
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7 . 已知圆
,直线
,点
在直线
上运动,直线
分别切圆
于点
.则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e948b27f4756cb8ad3cbbbaf13e1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/814364e874a81f19b4570df961b42df2.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/790ef3382b1c731f2885eecfd92c2a86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
A.四边形![]() ![]() |
B.![]() ![]() ![]() |
C.直线![]() ![]() |
D.![]() ![]() ![]() |
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解题方法
8 . 已知圆
的圆心为
,半径为3,
是过点
的直线.
(1)求圆
的方程,并判断点
是否在圆上,证明你的结论;
(2)若圆
被直线
截得的弦长为
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879a4007beef22e009248112d664f7c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c10f14aae6fb21e047ecb39cdf40c0.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b91d650c2fc1a741fabdb333b09aeb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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解题方法
9 . 设椭圆
:
的左、右焦点分别为
,
,
是椭圆
上的动点,则下列结论中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/271e595c257e4c0ade90a9bbbf0e6b0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.离心率![]() | B.![]() |
C.![]() ![]() | D.直线![]() ![]() |
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2023-12-08更新
|
789次组卷
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3卷引用:福建省三明市第一中学2023-2024学年高二上学期12月月考数学试题
10 . 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
|
263次组卷
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4卷引用:福建省三明市第一中学2023-2024学年高二上学期12月月考数学试题