名校
1 . 在极坐标系中,圆C的极坐标方程为
.
(1)以极点为坐标原点,极轴为x轴正半轴建立平面直角坐标系,求圆C的直角坐标方程;
(2)求圆C上的点到直线
距离的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/052042ebc748ca2ecefa9be15d5cce1e.png)
(1)以极点为坐标原点,极轴为x轴正半轴建立平面直角坐标系,求圆C的直角坐标方程;
(2)求圆C上的点到直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/326f832303ba945c744a8dff8b6a533a.png)
您最近一年使用:0次
2023-12-27更新
|
272次组卷
|
2卷引用:名校教研联盟2024届高三上学期12月联考(全国卷)数学(理)试题
2023·全国·模拟预测
2 . 已知点
是直线
上任意一点,过点
作圆
的两条切线,切点坐标分别为
,
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55369fec27edda3c2880820d1c7df21a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063e7c14c4c0049b13e585b848d1d9a9.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/ac35b1e8a952aac4f4cdaaf02d868d04.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023·全国·模拟预测
名校
3 . 在平面直角坐标系
中,圆
的方程为
,且圆
与
轴交于
两点,设直线
的方程为
,直线
与圆
相交于
两点,直线
与直线
相交于点
,直线
、直线
、直线
的斜率分别为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/837fbc4862ae7c699199535d991234a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/082990da1f11a1a7be4fc3935c0d526e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dca1726d463bd741c904abd9b6589056.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-12-26更新
|
995次组卷
|
4卷引用:2024届高三数学信息检测原创卷(五)
2023·全国·模拟预测
4 . 已知圆
,过点
,作圆
的两条切线,切点分别为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e10274381f2cfe52e79b99d9e98b804e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f9a3ea5e76e165faeabfdbc9717c287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29c6b242096be9b5f75daf95be75c232.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023·全国·模拟预测
解题方法
5 . 直线
与
轴交于
点,交圆
于
,
两点,过
点作圆
的切线,
轴上方的切点为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098658ddd8826dc6637297e1e6c7acdc.png)
__________ ;
的面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59ca3fc27bb55971d3282e52a1e49e22.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/4260098e70d2ef82619ff47cc2269027.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098658ddd8826dc6637297e1e6c7acdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d0469336f71edd52dc9148c67db052.png)
您最近一年使用:0次
6 . 已知抛物线C:
的焦点为F,点A,B是抛物线C上不同两点,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
A.若AB中点M的横坐标为3,则![]() |
B.若AB中点M的纵坐标为2,则直线AB的倾斜角为![]() |
C.设![]() ![]() ![]() |
D.若![]() ![]() |
您最近一年使用:0次
2023-12-24更新
|
717次组卷
|
5卷引用:2024年全国高考名校名师联席命制型数学信息卷(七)
(已下线)2024年全国高考名校名师联席命制型数学信息卷(七)黑龙江省哈尔滨市实验中学2023-2024学年高二上学期期末数学试题河南省焦作市博爱县第一中学2023-2024学年高二上学期期末数学试题(已下线)微考点6-5 利用二级结论秒杀抛物线中的选填题(已下线)专题2 垂径定理 拓展延伸 练
2023·全国·模拟预测
解题方法
7 . 已知双曲线
的右顶点为
,右焦点为
,点
到
的一条渐近线的距离为
,动直线
与
在第一象限内交于B,C两点,连接
,
.
(1)求E的方程;
(2)若
,证明:动直线
过定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/750066865beb666cc9325774ec13fc86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/60ef95894ceebaf236170e8832dcf7e3.png)
(1)求E的方程;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1d348edf73e974b8d6959a052c31075.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
名校
解题方法
8 . 若
为实数,则“
”是“直线
与直线
平行”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3fb9eb78c9aeb67ab8a0c7058e6337d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e513bb5304a296ec13de2706acf040f.png)
A.充要条件 | B.必要不充分条件 |
C.充分不必要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2023-12-24更新
|
597次组卷
|
6卷引用:江西师范大学附属中学2023届高三三模考试数学(理)试题
江西师范大学附属中学2023届高三三模考试数学(理)试题江西师范大学附属中学2023届高三三模考试数学(文)试题(已下线)第05讲 直线的一般式方程(2)湖北省黄石市部分学校2023-2024学年高二上学期12月阶段性训练数学试题(已下线)专题06 求直线方程(期末选择题6)2023-2024学年高二数学上学期期末题型秒杀技巧及专项练习(人教A版2019)(已下线)专题17 直线与圆小题
解题方法
9 . 已知抛物线
,过点
的直线
与抛物线
交于
两点,若
,则直线
的斜率是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64447af8454c613a58b11d9274d3da2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18e9b80fdeaa8bd3cf97b3c214448f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e49a1538831e007a0e47ec5e1069bff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-12-24更新
|
421次组卷
|
5卷引用:陕西省商洛市2024届高三一模数学(文)试题
10 . 已知
是曲线
上的点,则
的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b4240a45d8324aacac05137dff4d601.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c10d76fab52643e9879c464302aad042.png)
您最近一年使用:0次