根据下列条件,写出直线方程的一般式:
(1)经过点
,且倾斜角为
;
(2)经过点
,在
轴上有不为0且相等的截距.
(1)经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
(2)经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad20e2bc6576fc461419f8f138d26e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
更新时间:2023-11-17 15:35:40
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【推荐1】已知直线
的斜率与直线
的斜率相等,且直线
与直线
在
轴上的截距相等,求直线
的斜截式方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c58f8d1ac72f3cd4df2a292fc694aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/732f1316a8f29ca35c1fbfe14a651f7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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【推荐2】已知
的顶点
,边
上的中线
所在直线方程为
,边
上的高
所在直线方程为
.求:
(1)顶点
的坐标;
(2)直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6329198247b9c39bb31f0ce7e08f1f57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daab03b1642f1ea187c94f62088ac0fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdae78f4d3b8d8213ac3ac9a9567eb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f707f9a66d35b331b9dceb721ffd8efe.png)
(1)顶点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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【推荐1】已知直线
经过点
.
(1)当
在两坐标轴上的截距相等时,求
的方程;
(2)若
与
轴、
轴的正半轴分别相交于
两点,当三角形
的面积最小时,求
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383407840c52dc7878e113e3393e9780.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a77343ecde1c2665df291761b6563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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【推荐2】已知直线
.
(1)若直线l在两坐标轴上的截距相等,求直线l的方程;
(2)当
点到直线l距离最大时,求直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a209b9bf76a0c61ee2f125236c32d63.png)
(1)若直线l在两坐标轴上的截距相等,求直线l的方程;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b62194097ac66a5093c57fca2f5b4f.png)
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【推荐1】求满足题意的一般式直线方程:
(1)求过点
,斜率是直线
的斜率的
的直线方程;
(2)求经过直线
:
.和
:
的交点,且与直线
:
垂直的直线的方程.
(1)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e10de2c38bc918ae9e1ce62a5c70099.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07850a16583a79fa44650e91f13e13d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
(2)求经过直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfc743e12062d4ed1a67c3ad1b315525.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f129d441ab39d195cb2580c46065d0fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fce9427c9b17e4d3cda0c3ff3e2e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d5d58c8c55fc8dac4fcdf3221300316.png)
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【推荐2】根据下列条件,写出直线的方程,并把它化为一般式.
(1)经过点
,斜率是
;
(2)经过点
,平行于x轴;
(3)经过点
,
;
(4)在x轴、y轴上的截距分别是
,
.
(1)经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a1f4a13ff0300168b17e10345eefb1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3389f53711264b0acba3ba6019f8b908.png)
(2)经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6419152065edb8cabf887b65adb4a73.png)
(3)经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d591091748b2622b84ad57f1f7ee11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c89ac7a335076ecd8f6db5d50120cc4b.png)
(4)在x轴、y轴上的截距分别是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
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