在
中,点
,
边上的高线所在直线的方程为
,
边上的中线所在直线的方程为
,求边
所在直线的一般式方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd211e99f1a12d94df5c89a1d937db8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a5952b1dbaa77ff6f84cc8e5d209067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc39d5203b918c24ab32b651a31f058a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
更新时间:2023-10-12 08:42:25
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相似题推荐
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解题方法
【推荐1】已知两直线
.当
为何值时,
和
.
(1)平行;
(2)垂直.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dd9629c8e3bfaba09488bb6619de976.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(1)平行;
(2)垂直.
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解题方法
【推荐2】如下图所示,一个矩形花园里需要铺设两条笔直的小路,已知矩形花园的长
,宽
,其中一条小路定为
,另一条小路过点
,问是否在
上存在一点
,使得两条小路
与
相互垂直?若存在,则求出小路
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a6d8f44470d9354404972f480226615.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/223df7e5d81ea2a3edd3ee8068e7cda2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
![](https://img.xkw.com/dksih/QBM/2017/11/30/1828564351107072/1831757203234816/STEM/a8edff1c17eb40b480fd6baf960e692f.png?resizew=167)
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【推荐1】已知直线
与直线
的交点为
,圆
.
(1)求过
的交点
,且在两坐标轴上截距相等的直线方程;
(2)过
点作圆
的切线,求切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf4f7744e04704e5363bd5d068635480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19e922ac7a1bf2c60b4b22c2c91e2043.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edf29ce633b139f8a0632a6501f2be8c.png)
(1)求过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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【推荐2】已知直线
与直线
交于点
.求:
(1)过点
且垂直于直线
的直线
的一般式方程;
(2)过点
且在两坐标轴上的截距互为相反数的直线
的一般式方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8bf4c5441af2933c5bd4422b3dfad28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ab34fa1d24442da67e0c12f7703900c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae122aee6f0eafcc559a73b3e905fc78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
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【推荐1】已知
的重心
,B,C在直线
上运动,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea0df817e3e2cd95b9cd8f73386834c.png)
![](https://img.xkw.com/dksih/QBM/2021/8/21/2791101301153792/2818459881136128/STEM/2e39772f-5caf-4005-bc1d-764a07cb7354.png?resizew=198)
(1)求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fed4f5295c9089e895ef143457afbbcb.png)
(2)
点是否存在一个位置,使得
的面积被x轴平分,若存在求出B点坐标,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0267642ad04bf4ad73b344b313c88404.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c6d3c99b7004603ba9ea9c341b8b3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea0df817e3e2cd95b9cd8f73386834c.png)
![](https://img.xkw.com/dksih/QBM/2021/8/21/2791101301153792/2818459881136128/STEM/2e39772f-5caf-4005-bc1d-764a07cb7354.png?resizew=198)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fed4f5295c9089e895ef143457afbbcb.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐2】已知
的顶点
,
,
.
(1)若直线
过顶点
,且顶点A,
到直线
的距离相等,求直线
的方程;
(2)数学家欧拉于1765年在他的著作《三角形的几何学》中首次提出:三角形的外心、重心、垂心共线,这条直线称为欧拉线.求
的欧拉线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c8c39de4d7d1277da346b51b5bd2499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/428426e7f2ee0502b555a87a5cef6cb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134fc3507b06c25a6cdf06b7ae11f055.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)数学家欧拉于1765年在他的著作《三角形的几何学》中首次提出:三角形的外心、重心、垂心共线,这条直线称为欧拉线.求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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