名校
解题方法
1 . 圆
关于直线
对称,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/915262f5e5203effb92e7ad690a42ac3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4c304638053c17ffa931e47de0e1dfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42c5e961691eb11631e9f947fe7143c7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-12-05更新
|
3278次组卷
|
25卷引用:辽宁省实验中学2020届高三5月内测模考文科数学试题
辽宁省实验中学2020届高三5月内测模考文科数学试题2020届四川省绵阳南山中学高三3月网络考试数学(文)试题广东省珠海市实验中学、东莞六中、河源高级中学三校2019-2020学年高考联盟高三下学期第一次联考数学(文)试题(已下线)选择性必修第一册模块检测卷(基础过关)-2020-2021学年高二数学单元测试定心卷(人教A版2019选择性必修第一册)(已下线)专题40直线与圆综合应用-2022年(新高考)数学高频考点+重点题型重庆市育才中学校2021-2022学年高二上学期第一次月考数学试题四川省广安市武胜烈面中学校2021-2022学年高二10月月考数学(理)试题重庆市万州第二高级中学2021-2022学年高二上学期期中数学试题辽宁省东北育才学校2021-2022学年高三上学期第三次模拟考试数学试题江西省抚州市临川第一中学2021-2022高二12月月考数学(文)试题黑龙江省哈尔滨市第一中学校2021-2022学年高三上学期期末考试数学(文)试题 广东省深圳市福田区红岭中学2021-2022学年高二上学期期末数学试题河南省开封市杞县高中2021-2022学年高二上学期第四次月考数学(理)试题(已下线)易错点09 不等式-备战2022年高考数学考试易错题(新高考专用)(已下线)第二章 圆与方程(提分小卷)-【单元测试】2021-2022学年高二数学尖子生选拔卷(苏教版2019选择性必修第一册)湖南省岳阳市临湘市2021-2022学年高二上学期期末教学质量检测数学试题(已下线)考点19 直线和圆的方程-1-(核心考点讲与练)-2023年高考数学一轮复习核心考点讲与练(新高考专用)江西省赣州市南康区第三中学2022-2023学年高二上学期第一次月考数学试题四川省眉山第一中学2022-2023学年高二下学期开学测试文科数学试题(已下线)第三节 圆的方程 讲河南省南阳市第一中学校2023-2024学年高二上学期第一次月考数学试题江西省大余县梅关中学2023-2024学年高二上学期10月月考数学试题湖南省邵阳市新邵县第三中学2023-2024学年高二上学期期中数学试题青海省西宁市2024届高三上学期期末联考数学(文)试题黑龙江省大庆市大庆中学2024届高三下学期5月期中数学试题
2 . 过点
的直线
将圆形区域
分为两部分,其面积分别为
,当
最大时,直线
的方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c9708ef0dc6d6f5dcf6596d3e4f6e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fdcd5c548cfe29c66f1803fb69ac0fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3637753af5ce86be9c23a9beb6b5067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59c4295f918205f5598ecc9a96d8867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
3 . 设双曲线
的右焦点为
,过
作垂直于
轴的直线交
于
,
两点,若以线段
为直径的圆与
的渐近线相切,则双曲线
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-08-17更新
|
99次组卷
|
7卷引用:贵州省2019-2020学年高三(4月份)高考模拟(文科)数学试题
贵州省2019-2020学年高三(4月份)高考模拟(文科)数学试题湖南省怀化市2020届高三下学期6月第三次模拟考试文科数学试题贵州省普通高等学校招生2019-2020学年高三适应性测试文科数学试题(已下线)专题11 双曲线及其性质-2020年高考数学(理)母题题源解密(全国Ⅲ专版)(已下线)专题14 双曲线及其性质-2020年高考数学(文)母题题源解密(全国Ⅲ专版)陕西省西安市唐南中学2019-2020学年高二下学期期末理科数学试题安徽省滁州市凤阳县临淮中学2022届高三下学期四模文科数学试题
4 . 已知圆
与曲线
,曲线
上两点
,
,(
、
、
、
均为正整数),使得圆
上任意一点到点
的距离与到点
的距离之比为定值
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8ae96865cb0680748918b992fdcc81.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79382ba44ba669b5d43fdd5427adf16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcc98b5b2112dfdcd62bba31da42593d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a66c5f00b5b38a2d052354b5611970e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fd03f39d3623265bdb636552d5f1041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.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/e2781714853ddd3675560abfaa967242.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8ae96865cb0680748918b992fdcc81.png)
您最近一年使用:0次
5 . 苏州有很多圆拱的悬索拱桥(如寒山桥),经测得某圆拱索桥(如图)的跨度
米,拱高
米,在建造圆拱桥时每隔
米需用一根支柱支撑,则与
相距
米的支柱
的高度是( )米.(注意:
取
)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/20576d65-424e-451a-9c68-8fe3ffc6ca7f.png?resizew=215)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/7880953b-5b16-4435-93e1-b9ab45496c55.png?resizew=351)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc7c9678a30727f17e443a5f0d64daa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13f4ab3d31f8e7732c05f13792458c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b53c7539ed297ea63b9ace6f5cc58ca8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4056761b8f826eeb6ad8c9a151d3c9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18872eaaf05a420b4028fc031f646db.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/20576d65-424e-451a-9c68-8fe3ffc6ca7f.png?resizew=215)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/7880953b-5b16-4435-93e1-b9ab45496c55.png?resizew=351)
A.![]() | B.![]() | C.![]() | D.以上都不对 |
您最近一年使用:0次
2020-07-15更新
|
498次组卷
|
5卷引用:江苏省苏州市高新区第一中学2019-2020学年高一下学期期中数学试题
名校
解题方法
6 . 如图,已知某市穿城公路
自西向东到达市中心
后转向东北方向,
,现准备修建一条直线型高架公路
,在
上设一出入口
,在
上设一出入口
,且要求市中心
到
所在的直线距离为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/9fb7631a-0a34-4bcd-aab5-10c2ebd3f9d8.png?resizew=190)
(1)求
,
两出入口间距离的最小值;
(2)在公路
段上距离市中心
点
处有一古建筑
(视为一点),现设立一个以
为圆心,
为半径的圆形保护区,问如何在古建筑
和市中心
之间设计出入口
,才能使高架公路及其延长线不经过保护区?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1eb76f88cb973c220cffa1c9c0721a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4651589abc9a2b3e4d13f7bd18fadd3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4cfef623a9534b5708df5f95f1760a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e9f7d1272b7344346b58b660aa260a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3fb33e7fb8709bd8d5db686644d50b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/9fb7631a-0a34-4bcd-aab5-10c2ebd3f9d8.png?resizew=190)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)在公路
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4cfef623a9534b5708df5f95f1760a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f971d44effe601c7244f7bcde43b863.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/0017113f394bc42d821adeb220857cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2020-07-12更新
|
303次组卷
|
2卷引用:江苏省扬州中学2020届高三下学期5月质量检测数学试题
7 . 在平面直角坐标系
中,直线l的参数方程为
(t为参数).在以坐标原点O为极点,x轴的正半轴为极轴的极坐标系中,曲线C的极坐标方程为
.
(Ⅰ)写出直线l的普通方程与曲线C的直角坐标方程;
(Ⅱ)若曲线C与直线l相交于
两点,曲线C的中心为C,求
的面积S.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1f0fbba48a12718f0a770870889679.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45c503c69d42ac4ce0034d9d9bf2b9b0.png)
(Ⅰ)写出直线l的普通方程与曲线C的直角坐标方程;
(Ⅱ)若曲线C与直线l相交于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2020-07-01更新
|
178次组卷
|
2卷引用:2020届广东省化州市高三第四次模拟数学(文)试题
8 . 为了打击海盗犯罪,甲、乙、丙三国海军进行联合军事演习,分别派出一艘军舰A,B,C.演习要求:任何时刻军舰A、B、C均不得在同一条直线上.
![](https://img.xkw.com/dksih/QBM/2020/5/14/2462455338942464/2462529888206848/STEM/78ea64daae6f413099ef73ec54136ab5.png?resizew=338)
(1)如图1,若演习过程中,A、B间的距离始终保持
,B,C间的距离始终保持
,求
的最大值.
(2)如图2,若演习过程中,A,C间的距离始终保持
,B、C间的距离始终保持
.且当
变化时,模拟海盗船D始终保持:到B的距离与A、B间的距离相等,
,与C在直线AB的两侧,求C与D间的最大距离.
![](https://img.xkw.com/dksih/QBM/2020/5/14/2462455338942464/2462529888206848/STEM/78ea64daae6f413099ef73ec54136ab5.png?resizew=338)
(1)如图1,若演习过程中,A、B间的距离始终保持
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc448773bb8b895764d5167319fc48b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e5ba8a548022dcd972b2630619911bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
(2)如图2,若演习过程中,A,C间的距离始终保持
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce0252c1bbb760ce3dd9160097bab409.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95a5d9d5fbff267ed16d2d6079ffa88b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02b6d19fedaf8488f9637cd64efbca83.png)
您最近一年使用:0次
名校
9 . 如图,在摩天轮底座中心
与附近的景观内某点
之间的距离
为
m.摩天轮与景观之间有一建筑物,此建筑物由一个底面半径为
m的圆柱体与一个半径为
m的半球体组成.圆柱的地面中心
在线段
上,且
为
m.半球体球心
到地面的距离
为
m.把摩天轮看做一个半径为
m的圆
,且圆
在平面
内,点
到地面的距离
为
m.把摩天轮均匀旋转一周需要
min,若某游客乘坐摩天轮(把游客看作圆
上的一点)旋转一周,求该游客能看到点
的时长.(只考虑此建筑物对游客视线的遮挡)
![](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/b3864983798fe836a591e13783fd9e82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b184c94e38f1e5dbe750b2168c2a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b184c94e38f1e5dbe750b2168c2a37.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/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5021dda43ea360fb7b1102c1a462693a.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/58b184c94e38f1e5dbe750b2168c2a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6620729a37129c16cfd61cd59500bfe1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2卷引用:2019届江苏省南京市高三下学期第三次模拟考试数学试题
10 . 已知直线
:
与圆
:
交于
,
两点,与
平行的直线
与圆
交于
,
两点,且
与
的面积相等,给出下列直线
:①
,②
,③
,④
.其中满足条件的所有直线
的编号有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/044238be0ba36eba4b154b499ace202e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/489fff90631820f5a9c375fcf313cc83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaa58224c03dfded4a36220a0e38629a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/276e0fc0eb117d9504dcee30c86650c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc2d369e4e2297fe98f0c9a7a58b859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
A.①② | B.①④ | C.②③ | D.①②④ |
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3卷引用:2020届四川省高三大数据精准教学第一次统一监测文科数学试题
2020届四川省高三大数据精准教学第一次统一监测文科数学试题2020届四川省高三大数据精准教学第一次统一监测理科数学试题(已下线)第36练 直线与圆的位置关系-2021年高考数学(文)一轮复习小题必刷