名校
解题方法
1 . 已知直线
与直线
.
(1)若这两条直线垂直,求实数
的值;
(2)若这两条直线平行,求这两条平行线间的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6229fbdb2c3609beb75bf79952bcdc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4de869ae6b6dc5b79fcae3de540b30bf.png)
(1)若这两条直线垂直,求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若这两条直线平行,求这两条平行线间的距离.
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名校
解题方法
2 . 已知
,设直线
:
,直线
:
.
(1)若
,求m的值;
(2)当
与
相交时,求交点I的坐标(用m表示),并证明点I恒在一条定直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1eea2ca31c4f989e970a18bf8722198.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b513120958e4e349f1932a3eb0073329.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/027830fc47290062692964077ee481e4.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
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2024-01-14更新
|
219次组卷
|
2卷引用:上海市复旦大学附属中学2023-2024学年高二年级6月教学质量调研数学试卷
名校
解题方法
3 . (1)若直线
与直线
平行,求
的值;
(2)若直线
与直线
垂直,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1802c044206288957783bd010addebfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7831789b24381f7505af389650b5e0b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e571e39ab1a34b94e15501a4eb6a2aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63262f6679d09616d89f0b4e7e4a9145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
4 . 已知点
、
.
(1)若点C是直线
上的动点,且
,求直线
的方程;
(2)若点A、B到直线
的距离相等,求实数a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e663465f4417c400e326bd39f1a9a28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d55459bb4c5dd2a97429d06b9ca1bf27.png)
(1)若点C是直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b32d80e3b23cdb11d633cc4544c35a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
(2)若点A、B到直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f0e5fcb0cdbdd3bfd19774a011b7c97.png)
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2024-01-03更新
|
183次组卷
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2卷引用:四川省眉山市仁寿县2023-2024学年高二上学期12月联考数学试题
名校
解题方法
5 . 已知常数
,设直线
,直线
.
(1)若
,求
的值;
(2)若
与
平行,求
与
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12937cfeced6aab99ff6a262f3811b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09055ec7737e9b102257dcbabef69945.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
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2023-12-26更新
|
410次组卷
|
4卷引用:上海市曹杨第二中学2023-2024学年高二上学期12月月考数学试题
上海市曹杨第二中学2023-2024学年高二上学期12月月考数学试题(已下线)专题04 点到直线的距离-【寒假自学课】2024年高二数学寒假提升学与练(沪教版2020)(已下线)第1章 坐标平面上的直线(知识归纳+题型突破)-2023-2024学年高二数学单元速记·巧练(沪教版2020选择性必修第一册)(已下线)第1章 坐标平面上的直线 单元综合检测(重点)-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)
名校
解题方法
6 . 已知直线
,直线
,其中
.
(1)若直线
经过点
,且
,求m,n;
(2)若直线
,当
与
之间的距离取最大值时,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151f283a300192547e793620a2d429d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01a589470fc246aa897a8b3772569f0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7569cd7e9b31ad838230133b9bc8314.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f114df5ceabdb7e5fd3fdad4eaf056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1095c036b49c3327baaa2c3c7f746134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
您最近一年使用:0次
解题方法
7 . 已知直线
,直线
.
(1)若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
,求实数
的值;
(2)若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f43f45ac1819f6d0fbed9319a9ef75a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e1cab14246efa1eea2c3dd0a2a628bd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-12-19更新
|
72次组卷
|
2卷引用:贵州省2023-2024学年高二上学期12月月考数学试题
名校
解题方法
8 . 已知直线
:
,直线
:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b987e5a94e1d02e6a609942f1c8371.png)
(1)若
,求实数
的值;
(2)若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/487f7e023d98248b862e3a2dfd46fe0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b987e5a94e1d02e6a609942f1c8371.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1095c036b49c3327baaa2c3c7f746134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-12-01更新
|
338次组卷
|
3卷引用:湖南省张家界市民族中学2023-2024学年高二上学期第一次月考数学试题
解题方法
9 . 已知平面内两点
,
.
(1)求线段
的中垂线方程;
(2)直线
平行于直线
,且点
到直线
的距离为3,求直线
的纵截距.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ca2448b6715699c239b3a7ce081609.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0baca988e757625c577e02752422a72d.png)
(1)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/561fbd802d8f840ebb1086a97aca3f70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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名校
解题方法
10 . 已知直线满足下列条件,求直线方程:
(1)经过两条直线
和
的交点,且平行于直线
;
(2)经过两条直线
和
的交点,且在两坐标轴上截距相等.
(1)经过两条直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc8b515c0b57767af60c121f89277af2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a24f3197942ff7bd44f44651dd9123b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e58da807df5be8e339401083eb10f58d.png)
(2)经过两条直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc39d5203b918c24ab32b651a31f058a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b2caf6048aa0807d8ba591963ff6e2.png)
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2023-11-13更新
|
266次组卷
|
2卷引用:广东省普宁市勤建学校2023-2024学年高二上学期第二次调研数学试题