已知直线
经过直线
的交点
.
(1)若直线
经过点
,求直线
的方程;
(2)若直线
与直线
垂直,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5478ec387968131b8aefc1c295e21ead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac5225ff6aa3c06ff5c8437f88093f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e0c89d5a4aa639c99f89ab747493961.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
更新时间:2023-10-17 15:47:06
|
相似题推荐
【推荐1】已知
的平分线所在的直线的方程为
.
(1)求AB的中垂线方程;
(2)求AC的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/881a13d12c2ce3a8171ab464ae42a143.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab466aedd6e176088d8dee7bc3e3aaa.png)
(1)求AB的中垂线方程;
(2)求AC的直线方程.
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【推荐2】求经过下列两点的直线的两点式方程.
(1)
,
;
(2)
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07f05b989842734d1afd9429d15f5484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d98da247827664b883cf0bb6bbc7530.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a3738bb3fced399273145e04ec3955b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54fe2c124d5bbbbe666ee145cd454b6b.png)
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【推荐1】在下列三个条件中任选一个,补充在下面的问题中,并加以解答.
①垂直于直线
;②平行于直线
;③截距相等.
问题:直线
经过两条直线
和
的交点,且______.
(1)求直线
的方程;
(2)直线
不过坐标原点
,且与
轴和
轴分别交于
、
两点,求
的面积.
注:如果选择多个条件分别解答,则按第一个解答计分.
①垂直于直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/198423f0798da7ce226576b97a1f289e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/198423f0798da7ce226576b97a1f289e.png)
问题:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baabfd32465e9e50409413d9c1358279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d1cb41222d27da278a922db1cd5cb34.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/866b81a8384cce4f24867baca2e6820c.png)
注:如果选择多个条件分别解答,则按第一个解答计分.
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【推荐2】(1)求过点
,且与直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a461995b90655f5133df6f61c2d09bd.png)
平行的直线
的方程.
(2)求与直线
垂直,且与两坐标轴围成的
周长为
的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/881fe2df23c5a0fe1d1fecbe9ffa55fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a461995b90655f5133df6f61c2d09bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eccb81d955b508a75d1c76a754814000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
(2)求与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b3412469e573766c556a98550af8a90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
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真题
解题方法
【推荐1】求过两直线
和
的交点且过
点的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d075d90985d30e8e1794fc3dc98c39a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a24f3197942ff7bd44f44651dd9123b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c832f2474efe89961ef41e884da7660c.png)
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【推荐2】已知直线经过直线
与直线
的交点
,并且垂直于直线
.
(Ⅰ)求交点
的坐标;
(Ⅱ)求直线的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9914263ffebdc0aa082603879e8cd847.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb343cfed5f78a4a24f750415abef43e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ccbfa4df4190907430bf37828edf34.png)
(Ⅰ)求交点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(Ⅱ)求直线的方程.
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