1 . 已知直线
的方程为
,则坐标原点到直线
的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bab001bd3e9e7855b1736e840366fb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2023-12-27更新
|
337次组卷
|
3卷引用:河南省新高中创新联盟TOP二十名校2023-2024学年高二上学期11月调研考试数学试题
河南省新高中创新联盟TOP二十名校2023-2024学年高二上学期11月调研考试数学试题(已下线)2.3.2 点到直线的距离公式、两条平行直线间的距离【第一练】安徽省亳州市涡阳县蔚华中学2023-2024学年高二上学期第三次月考数学试题
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2 . 直线
的倾斜角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/306c51792bff89731b41a0c5de0c3f45.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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解题方法
3 . 已知点
,
,
是直线
上的动点,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a865d0cdbd1f950ba14112528db7af2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6fe915da51b1be6414ac2b92b3cea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e8c3d4b3d327a6343695dabe46af367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae4bf49a95b291e539290d8f08632ca.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
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4 . 已知点
,
,直线
与线段
有交点,则
可以为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f0455401e60c9b0746cc08631d6cb3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6848fcd89766f98bdd79608a413f2490.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53d50ae42984689096dae2818f3c1f7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.1 | D.3 |
您最近一年使用:0次
2023-12-23更新
|
399次组卷
|
2卷引用:河南省商丘市部分学校2023-2024学年高二上学期期中考试数学试卷
名校
5 . 在棱长为2的正四面体
中,点
为
所在平面内以
,
为左、右顶点,
为半短轴长的椭圆上的一动点,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/827ccf0c04aa941ba20d5f4c6068b46b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
A.4 | B.2 | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
6 . 已知
,
,
.求:
(1)过点A且与
平行的直线方程;
(2)
边垂直平分线方程;
(3)过点A且倾斜角为直线
倾斜角2倍的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c59f0e35b7ae5206e45878934482b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/466e8c438084aef563c6aaeff3bca583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437f923730cfbd1bc6f62738d607eca7.png)
(1)过点A且与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(3)过点A且倾斜角为直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
解题方法
7 . 已知
为等腰直角三角形,且
,若A,C的坐标分别为
,
.
(1)求点B的坐标;
(2)求过点B与
所在边平行的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1a65d88f9823d49da8f3b96ea9ec6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b12f5329716234ea36d40f9058f8270a.png)
(1)求点B的坐标;
(2)求过点B与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
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解题方法
8 . 在平行四边形
中,
,
,
,点
是线段
的中点.
(1)求直线
的方程;
(2)求过点
且与直线
垂直的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1294434b22cb5133043a2270ae1c43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba8a3aa348bd94ed37e1a74b3f2bf7cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c5bdf7cb8958e92e750646138ef6b3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(2)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
您最近一年使用:0次
解题方法
9 . 已知
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e8a3365e99f926b1dafa901ab232152.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fc32966e14e977e473cc3b01f621be6.png)
A.![]() | B.![]() | C.![]() | D.6 |
您最近一年使用:0次
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10 . 已知
、
为圆
不同两点,且满足
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7f25834d8218c53cb975c2a2fe7442a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/166f3b154ac0d6515f8e5e491822865e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530ff6ef17ac4506388621cd70c584af.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次