经过点P(3,2)的一条动直线分别交x轴、y轴于点A、B,M是线段AB的中点,连结OM并延长至点N,使|ON|=2|OM|,求点N的轨迹方程.
更新时间:2016-12-03 20:08:17
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【知识点】 直线与方程
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解答题-问答题
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较易
(0.85)
解题方法
【推荐1】已知直线
过定点
,且交
轴正半轴于点
、交
轴正半轴于点
.点
为坐标原点.
(1)若
的面积为
,求直线
的方程;
(2)求
的最小值,并求此时直线
的方程;
(3)求
的最小值,并求此时直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f13bf66fc845b115de4ec45b4be0e23.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/1dde8112e8eb968fd042418dd632759e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a99d2c4a23825f62aadcc40822b5eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559d66fd8b309fd440ce9bda78a579c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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解答题-问答题
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(0.85)
解题方法
【推荐2】请求出满足题意的直线方程:
(1)过定点
且在两坐标轴上截距相等的直线;
(2)求经过直线
和
的交点,且与直线
垂直的直线的方程.
(1)过定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e88ebfb5c0d6cce558b515be06404d.png)
(2)求经过直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c414f10e3cd2a10a608cb4418ace955c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bd21a0f24a7ebf00971e3b8ef0b6864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71a01f6faa15fbb9c5c53bfd6e67f5b3.png)
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