名校
1 . 已知抛物线
的焦点为F,准线与x轴的交点为A,点B在C上.若
,则直线AB的方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dc35b7e6cdf04d4fa832ddef4ffef07.png)
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2024-06-10更新
|
383次组卷
|
2卷引用:2024届河北省承德市部分示范高中高三三模数学试题
名校
解题方法
2 . 已知
,若点P满足
,则点P到直线
的距离的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f01b186ac8aa73e1a3609b40b6c3ee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83640592853a53872d7af69c0cffc1bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5be0fcefb76a1958f482205475b351.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2024-06-10更新
|
540次组卷
|
2卷引用:2024届河北省承德市部分示范高中高三三模数学试题
名校
解题方法
3 . 已知双曲线
分别为其左、右焦点,
为双曲线上一点,
,且直线
的斜率为2,则双曲线的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac33ce31796b5f294be1bd65c8e7f5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2427943a38dcd93c9ec9b735ffc9fe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
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名校
4 . 已知圆
,圆
与
轴交于
,斜率存在且过原点
的直线
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/096c252be3fddf7763db5761150d8eda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f91f66326b67b11bf071c06fbcc657e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/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.![]() |
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解题方法
5 . “曼哈顿距离”是人脸识别中一种重要的测距方式.其定义为:如果在平面直角坐标系中,点
的坐标分别为
,那么称
为
两点间的曼哈顿距离.
(1)已知点
分别在直线
上,点
与点
的曼哈顿距离分别为
,求
和
的最小值;
(2)已知点
是曲线
上的动点,其中
,点
与点
的曼哈顿距离
记为
,求
的最大值.参考数据
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b6037359d2727b05ee33db9e2c36226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/093c6d5bcaa69cea79b24688f5d1bd97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(1)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c37a37e91dd29058e66d8d905e5580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00535516e08775f69df930f449f4469e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b25ce60648ea5042ab5eb5702efe651a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c37a37e91dd29058e66d8d905e5580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f77e22dd917201d812897e3b4d1c52ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edc218828907b5918bf9d755eb98ea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17a9be71b631f37d8a88bc7bd030aa79.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12be206d66e65eb92ef08bad8cd8f71d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e18b23c806c5c76de3244b015911e73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48d25e70d37af93796965efc8d342185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad135b14c9dcd83eab6618d7694c7b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93f513553d63e9c87a70dd6aa57f97b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c33d08de0e3d2643654f22543132491.png)
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2024-05-02更新
|
110次组卷
|
2卷引用:河北省承德市2023-2024学年高二年级下学期5月联考数学试题
解题方法
6 . 一动圆经过点
且与直线
相切,设该动圆圆心的轨迹为曲线C.
(1)求C的方程;
(2)若直线l与C交于A,B两点,且线段AB的中点坐标为
,求l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c351299dbe0660edc4a71497b387ec18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9355031ea0b2dc9cef3777621bc6d38.png)
(1)求C的方程;
(2)若直线l与C交于A,B两点,且线段AB的中点坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52fe874d253faa184f61b1a3d7de7fd5.png)
您最近一年使用:0次
2024-02-28更新
|
191次组卷
|
2卷引用:河北省承德市2023-2024学年高二上学期期末数学试题
名校
解题方法
7 . 已知点
,点
在圆
上运动.
(1)求过点
且与圆
相切的直线方程;
(2)已知
,求
的最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ce7be37ff9418a9c95d5dc54814ebd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99855445965a01665158620054410fe7.png)
(1)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eba3f26953efa2ea3b55c6bc04964bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aed9a3976b506be220a26873931651b2.png)
您最近一年使用:0次
8 . 已知直线
与
交于点
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3da863fef03c2406bbaa7d1dac20acf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f505ec90e76c03085220dd7c84cf90e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67a06ae875e4116f29c145e0fa2e5dbf.png)
A.1 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-14更新
|
256次组卷
|
3卷引用:河北省承德市2023-2024学年高二上学期期末数学试题
解题方法
9 . 已知直线
,直线
.若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/340aebb58fc3042b14e08843e697b85b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f9e9e126c8e011c35654faf776828e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdb9d8425d73a68731f30e0c0e22260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.4 | B.-2 | C.4或-2 | D.3 |
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2024-02-12更新
|
264次组卷
|
2卷引用:河北省承德市2023-2024学年高二上学期期末数学试题
名校
解题方法
10 . 已知直线
与
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10544d90c775f611abeb92ca381a2de8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8769a3672397e309d001af699e6c4539.png)
A.若![]() | B.若两直线平行,则![]() |
C.直线![]() ![]() | D.直线![]() |
您最近一年使用:0次
2024-02-12更新
|
396次组卷
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5卷引用:河北省承德市宽城满族自治县第一中学2023-2024学年高二下学期期初考试数学试卷