1 . 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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2 . 蒙日是法国著名的数学家,他首先发现椭圆的两条相互垂直的切线的交点轨迹是以椭圆中心为圆心的圆,这个圆被称为蒙日圆.已知椭圆
,其蒙日圆为圆
,过直线
上一点
作
的两条切线,切点分别为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0296bd9900adcc311f59ad44e940b86f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b42ae270621783ce5e318f69a7d76f.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/01c74a907dda6bb7d9d56d009d9df253.png)
A.![]() ![]() |
B.四边形![]() ![]() |
C.![]() ![]() |
D.当点![]() ![]() ![]() ![]() |
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解题方法
3 . 已知曲线,则( )
A.曲线![]() ![]() |
B.若点![]() ![]() ![]() |
C.若曲线![]() ![]() ![]() |
D.若曲线![]() ![]() ![]() |
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2023-11-19更新
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356次组卷
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5卷引用: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
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
名校
解题方法
4 . 设圆
与两圆
,
中的一个内切,另一个外切,记圆
的圆心轨迹为
.
(1)求
的方程;
(2)过曲线
上一点
作两条直线
,
,且点
,点
都在曲线
上,若直线
的斜率为
,记直线
的斜率为
,直线
的斜率为
,试探究
是否为定值,若为定值请求出值,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa4f32a2feb1f6bc2a37974f9fdf215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c837568b6739546d1658815fd42b222c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)过曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6c09b41032e4722c412c2e2427500a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e8b4bbd2f9912adfc9864c0e1e76a9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69e3f7ddd51215d00661c09cd900d60.png)
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2023-11-19更新
|
172次组卷
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3卷引用:辽宁省高级中学2023-2024学年高二上学期期中数学试题
名校
5 . 在平面直角坐标系中,
,点
在圆
上运动,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b3ac37a278381d1092ee51ce7025599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9c475fe41f7b2cd122db4db1f44527.png)
A.点![]() ![]() ![]() |
B.![]() ![]() |
C.![]() |
D.过直线![]() ![]() ![]() ![]() ![]() |
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2023-11-17更新
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2卷引用:江苏省南通市如皋中学2023-2024学年高三上学期数学阶段考试(二)
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6 . 已知
,点
是直线
和
的交点,若存在点
使
,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2297089e9e7db914e36888f7c3cae362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74227ce264905db00136130d47b7b5c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb4e3421cc4310d55a876dfd968e855a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed40bce11976e6d1a7274116c69c379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-11-11更新
|
830次组卷
|
3卷引用:浙江省浙东北联盟(ZDB)2023-2024学年高二上学期期中数学试题
7 . 已知圆
:
和直线
:
,点
为直线
上的动点,过点
作圆
的切线
,切点为
,当
最小时,直线
的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa9dd4d452ba05247ea59caf9ad9fa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/3f4dfec890cdfdda355e19463f3be813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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|
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5卷引用:辽宁省大连市金州高级中学2023-2024学年高三上学期期中考试数学试题
辽宁省大连市金州高级中学2023-2024学年高三上学期期中考试数学试题辽宁省辽东教学共同体2024届高三上学期期中数学试题(已下线)模块六 全真模拟篇 拔高2 期末终极研习室(2023-2024学年第一学期)高三(已下线)专题02 直线和圆的方程(5)江西省鹰潭市2023-2024学年高二上学期期末数学试题
名校
解题方法
8 . 已知
,
是圆
上两点,且
. 若存在
,使得直线
与
的交点
恰为
的中点,则实数
的取值范围为( )
![](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/26d341d0f94dbd99e7c8524b82498603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699fc9b7e879af4866aaa07848dfb423.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec0e1a9c21a11c369b2c2e77bdd4148f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b592328c8995d0483353b3a3a45b7cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-11-07更新
|
802次组卷
|
3卷引用:浙江省杭州第二中学2023-2024学年高二上学期期中数学试题
名校
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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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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