1 . 折纸既是一种玩具,也是一种艺术品,更是一种思维活动.如图,有一张直径为4的圆形纸片,圆心为
,在圆内任取一点
,折叠纸片,使得圆周上某一点刚好与点
重合,记此时的折痕为
,点
在
上,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f68815ee48560500c184da6f76bced7.png)
A.5 | B.4 | C.3 | D.2 |
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7卷引用:信息必刷卷01(北京专用)
名校
2 . 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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2024-02-17更新
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2卷引用:北京市第五十五中学2023-2024学年高三下学期三模数学试题
名校
3 . 在直角坐标系
内,圆
,若直线
绕原点
顺时针旋转
后与圆
存在公共点,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794b5703cb87d2701a89f4750c1b3a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43e788a289771f6005b8cde7f30a1596.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ff7caec4fdd8fb54a3ffbff9692414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-01-22更新
|
1268次组卷
|
7卷引用:北京市陈经纶中学2023-2024学年高三下学期2月阶段性诊断练习数学试题
北京市陈经纶中学2023-2024学年高三下学期2月阶段性诊断练习数学试题北京市西城区2023-2024学年高二上学期期末考试数学试卷 广东省广州市华南师大附中2024届高三上学期第一次调研数学试题(已下线)山东省部分学校2024届高三3月调研数学试卷(2024年普通高等学校招生全国统一考试数学模拟试卷)(已下线)专题1 直线与圆的位置关系【练】(压轴小题大全)(已下线)2.1.3 直线与圆的位置关系(八大题型)(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)河南省百师联盟2023-2024学年高二下学期五月大联考数学试卷
解题方法
4 . 如图,在棱长为1的正方体
中,
为线段
上的点,且
,点
在线段
上,则点
到直线
距离的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc78eafe4d1539f257e3bf83291da4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15dc61d5de97b5a40be925b278ae494c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
A.![]() | B.![]() | C.![]() | D.1 |
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5 . 已知
为直线
上的动点,点
满足
,记
的轨迹为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4d5809b3cac52495778cf3a9a91fb32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/569fa55c057915eccdd81ab3b1112174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() ![]() | D.![]() |
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2024-01-19更新
|
7025次组卷
|
12卷引用:北京市西城区北京师范大学附属中学2023-2024学年高三下学期开学测试数学试题
北京市西城区北京师范大学附属中学2023-2024学年高三下学期开学测试数学试题2024年1月普通高等学校招生全国统一考试适应性测试(九省联考)数学试题广东省佛山市第一中学2024届高三上学期第二次调研数学试题(已下线)年1月普通高等学校招生全国统一考试适应性测试(九省联考)数学试题变式题6-102024年九省联考试卷分析及真题鉴赏(已下线)模块6 平面几何篇 第2讲:向量的数量积与极化恒等式【练】宁夏回族自治区银川一中2024届高三第二次模拟考试文科数学试题(已下线)广东省佛山市第一中学2024届高三上学期第二次调研数学试题变式题1-5四川省绵阳南山中学2024届高三下学期高考仿真考试(二)理科数学试题江西省上饶市私立新知学校2023-2024学年高二上学期期末数学试题山东省济南市2023-2024学年高二上学期期末质量检测模拟数学试题四川省南充市嘉陵第一中学2023-2024学年高二下学期第一次月考数学试题
名校
解题方法
6 . 已知椭圆
的右焦点为F,点P是椭圆与x轴正半轴的交点,点Q是椭圆与y轴正半轴的交点,且
,
.直线l过圆
的圆心,并与椭圆相交于A,B两点,过点A作圆O的一条切线,与椭圆的另一个交点为C,且
.
(1)求椭圆的方程;
(2)求直线
的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b5cee464e48a906ab59e4d678c87946.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de75fbe52dd9ad026997cafbb50cd6f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07cb57d9eb1a433319f8efc6fb363660.png)
(1)求椭圆的方程;
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
您最近一年使用:0次
2024-01-16更新
|
306次组卷
|
3卷引用:北京市西城区北京师范大学附属中学2023-2024学年高三下学期开学测试数学试题
7 . 已知直线
(
为常数)与圆
交于点
,当
变化时,若
的最小值为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b256345d7109e081b7c895591e995d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb40dae2b0f4048d3fabff25e6cbe443.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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2024-01-09更新
|
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2卷引用:北京市第二中学2023-2024学年高三下学期开学考试数学试卷
8 . 已知抛物线
的焦点为
,点
在
上,
,
为坐标原点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1dd213c9f6e9b4aed94258eb83ecf78.png)
__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c1ba86ffc6e5542b62319848c14acaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b7937d2541afc6351464650727a8fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1dd213c9f6e9b4aed94258eb83ecf78.png)
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2024-03-01更新
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3卷引用:高三数学开学摸底考 (北京专用)
9 . 已知直线
与
相交于点
,直线
与
轴交于点
,过点
作
轴的垂线交直线
于点
,过点
作
轴的垂线交直线
于点
,过点
作
轴的垂线交直线
于点
,
,这样一直作下去,可得到一系列点
,
,
,
,
,记点
的横坐标构成数列
,给出下列四个结论:
①点
; ②数列
单调递增;
③数列
为等比数列; ④
.
其中所有正确结论的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27d75e9b0329424f08758cd86fe72dc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eb9b8e2ff79c75a12c73cf474df5f7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86380a6d6501f6504dcb4aa5e3099f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86380a6d6501f6504dcb4aa5e3099f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae863e7a1f1fed09f1075de4a817c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86380a6d6501f6504dcb4aa5e3099f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae863e7a1f1fed09f1075de4a817c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf3300966c23d3c62e0c30327faf8163.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
①点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22fe66db7cd1a603298df7c219431957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d497e59ca415b9973ae8b07cd28e472.png)
③数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12fa575eec471d20667624bd4e9f7924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32b16a1cacd1be1014c6acb0267c0715.png)
其中所有正确结论的序号是
您最近一年使用:0次
10 . 已知直线
与
相交于点
,直线
与
轴交于点
,过点
作
轴的垂线交直线
于点
,过点
作
轴的垂线交直线
于点
,过点
作
轴的工线交直线
于点
,…,这样一直作下去,可得到一系列点
,
,
,
,…,记点
的横坐标构成数列
,给出下列四个结论:
①点
; ②数列
单调递减;
③
; ④数列
的前
项和
满足:
.
其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6358e1d29f143d9985718edabedbb538.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b0c747d1d8f633ac01f2b06a110d5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86380a6d6501f6504dcb4aa5e3099f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86380a6d6501f6504dcb4aa5e3099f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae863e7a1f1fed09f1075de4a817c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86380a6d6501f6504dcb4aa5e3099f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae863e7a1f1fed09f1075de4a817c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0fb5c4c19ac84d269620933529d592d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
①点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/067308c1308d8c3d3d1f5d4cf52231d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d497e59ca415b9973ae8b07cd28e472.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a682947e42a40a3d3206e9a8fd843628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11dab3dcc415a6c21b2d178a45615790.png)
其中所有正确结论的序号是
您最近一年使用:0次