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1 . 已知圆
与圆
的公共弦所在直线与
轴垂直,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a622513ce7e19b9af5617606ba21a09c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b0211afae2d7e0d4f92351e1728f3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2a39beea5adf5d07aea0424ca7a64f.png)
A.-4 | B.-2 | C.2 | D.4 |
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2 . 对于平面上点
和曲线
,任取
上一点
,若线段
的长度存在最小值,则称该值为点
到曲线
的距离,记作
.下列结论中正确的个数为( )
①若曲线
是一个点,则点集
所表示的图形的面积为
;
②若曲线
是一个半径为
的圆,则点集
所表示的图形的面积为
;
③若曲线
是一个长度为
的线段,则点集
所表示的图形的面积为
;
④若曲线
是边长为
的等边三角形,则点集
所表示的图形的面积为
.
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.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/72a421e5d3b3752b9e1f04c30799bace.png)
①若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26bee18b0b9fdb657956eaeb43023288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20b3a91ccf6028608cd03df7072f6536.png)
②若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d079a36153052a0fbdf35b2a2bd3b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e95a79288fcb7e47fba4410722e2bc6.png)
③若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d079a36153052a0fbdf35b2a2bd3b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7b0c7fb6244310e468d5092cf0dba4f.png)
④若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d079a36153052a0fbdf35b2a2bd3b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebceb91a9f116f8f5308bcad3020bae4.png)
A.1 | B.2 | C.3 | D.4 |
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6卷引用:北京市陈经纶中学2023-2024学年高二上学期期中考试数学试卷
北京市陈经纶中学2023-2024学年高二上学期期中考试数学试卷浙江省湖州市第二中学2024届高三上学期期中数学试题(已下线)专题02 直线和圆的方程(5)(已下线)考点3 与集合相关的新定义问题 --2024届高考数学考点总动员【练】(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)(已下线)专题1 直线与圆的位置关系【练】(压轴小题大全)
3 . 已知圆C经过点
,
,且直线
被圆C所截得的弦长为
.点P为圆C上异于A、B的任意一点,直线
与x轴交于点M,直线
与y轴交于点N.
(1)求圆C的方程;
(2)探求
是否为定值,若为定值,求出此定值,若不是定值,说明理由;
(3)过点
的动直线l与圆C交于不同的两点E,F.记线段
的中点为R,则当直线l绕点D转动时,求动点R的轨迹长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32366143230ca122894a4bada7c7b96d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c850811ba59a05e945a665196539a048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6274852e643a635e7340efa732edddc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
(1)求圆C的方程;
(2)探求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf904bf6e732f418ad172ce21688f626.png)
(3)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17905988258f795b4eb172b19ad2d7fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
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4 . 已知圆
:
(
)与
轴相交于
,
两点,且圆
:
,点
.若圆
与圆
相外切,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7101cfc2433c935a5711ff348d2df2d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ba6b6aa6c3f9faba6b03bc193a6e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8be03fffb70a1c2253c870fff55e8595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10b4c07fce745f6b839493640489f381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
A.当![]() ![]() |
B.当![]() ![]() |
C.当![]() ![]() ![]() |
D.设定点![]() ![]() ![]() ![]() |
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解题方法
5 . 已知曲线,则( )
A.曲线![]() ![]() |
B.若点![]() ![]() ![]() |
C.若曲线![]() ![]() ![]() |
D.若曲线![]() ![]() ![]() |
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浙江省温州新力量联盟2023-2024学年高二上学期期中联考数学试题(已下线)模块五 专题6 期末全真模拟(拔高卷2)期末终极研习室(高二人教A版)(已下线)专题02 直线和圆的方程(5)重庆市第一中学校2023-2024学年高二上学期期末模拟数学试题浙江省金华市武义第一中学2023-2024学年高二上学期12月检测2数学试题
6 . 已知
,点
为圆
上一动点,过点
作圆
的切线,切点分别为
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a1aeb00e17bb5fe34dc23e42e23c76e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79382ba44ba669b5d43fdd5427adf16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
A.若圆![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.直线![]() ![]() |
D.![]() ![]() |
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解题方法
7 . 已知椭圆
的左,右焦点分别为
,
,圆
,点P在椭圆C上,点Q在圆M上,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e756feec2851b90497421790a7206e76.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/3935dafafc5f643540f7dc493073af85.png)
A.若椭圆C和圆M没有交点,则椭圆C的离心率的取值范围是![]() |
B.若![]() ![]() |
C.若存在点P使得![]() ![]() |
D.若存在点Q使得![]() ![]() |
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8 . 在平面直角坐标系中,已知两个定点
,
,动点P满足
,设动点P的轨迹为曲线C.
(1)求曲线C的方程;
(2)过直线
上一动点作曲线C的两条切线,切点为M,N,探究:直线MN是否过定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913f78382630e50543e5f7192cae3ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316ba5cbb31299d683ac6c7dd795db85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed40bce11976e6d1a7274116c69c379.png)
(1)求曲线C的方程;
(2)过直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061af1c7a4480004221e253d813efe07.png)
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9 . 已知
的顶点P在圆C:
上,顶点A,B在圆O:
上.若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a855335176fc36a15017f50a8561348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf6dd6042c47843d04c0cbbc009e933.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84cef568cfe2fc12a4dec11533ada274.png)
A.![]() ![]() |
B.直线![]() ![]() |
C.过P作圆O的切线,则切线长的最小值为![]() |
D.不存在这样的点P,使得![]() |
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解题方法
10 . 如图,已知直线l:
与圆O:
相离,点P在直线l上运动且位于第一象限,过P作圆O的两条切线,切点分别是M、N,直线MN与x轴、y轴分别交于R、T两点,且
面积的最小值为
,则m的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe31f22a77fd0ad51788f5642d72425d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d61985901c2bc698d72ac88f4e1eb65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbeb984e23a7e686d0ae2c48f9ff460c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/482b71ca0f34940dc775e6666e010c8f.png)
A.-5 | B.-6 | C.![]() | D.![]() |
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