在平面直角坐标系中,已知直线l过点
.
(1)若直线l的纵截距和横截距相等,求直线l的方程;
(2)若直线l与两坐标轴围成的三角形的面积为
,求直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
(1)若直线l的纵截距和横截距相等,求直线l的方程;
(2)若直线l与两坐标轴围成的三角形的面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
19-20高一上·河南开封·期末 查看更多[3]
河南省开封市五县2019-2020学年高一上学期期末联考数学试题2019-2020学年高一上学期期末复习1月第02期(考点11-14)-《新题速递·数学》(已下线)3.2.2 直线的两点式方程-2020-2021学年高一数学课时同步练(人教A版必修2)
更新时间:2020-02-21 07:56:38
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【推荐1】分别写出下列直线的斜率以及它们在x轴、y轴上的截距:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20b8d3564d7ae5687f69b64b150c4b35.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25000c067a3eb6df8ddcd6caa9d1dca5.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e622e2b8344051e9041393ae5d5ee0c.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33b680d8ccebbfc88e190b965fa816c.png)
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解题方法
【推荐2】已知直线
过点
,
(1)若直线
在
轴上的截距是在
轴上截距的2倍,求直线
的方程;
(2)若直线
与
轴正半轴交于点
,与
轴正半轴交于点
,求
的最小值及取得最小值时直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00d5d8cc31aaca7fc2eafb99eac7629.png)
(1)若直线
![](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/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若直线
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78aba8818e83c6872966e531a9e3ded.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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【推荐1】已知直线
过两直线
的交点
,
(1)若直线
与
垂直,求
的直线方程;
(2)若直线
交
轴、
轴分别是
点,
点是线段
的中点,求
的面积(O是坐标原点)以及
的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6001db9de776cb92686289b446c5829.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3f999bcdcdc1b9d56e0639cadd96dbd.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/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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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解题方法
【推荐2】已知直线
平行于直线
,并且与两坐标轴围成的三角形的面积为
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d717a25a45873801c0e6c1cba9468cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49e60fbe6820130fb20abc555a94b5ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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