已知
的顶点
,求:
(1)
边上的高所在直线的方程
(2)
边上的中线所在直线的方程
(3)
外接圆方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6536f1025c66294fa53f62a5713f3374.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
更新时间:2016-12-03 16:49:40
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解答题-问答题
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适中
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【推荐1】已知
的顶点坐标为
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13d299c023fbb676b39e2aa4c6fb1fa7.png)
.
(1)求
边上中线
所在直线方程;
(2)求点
关于直线
对称的点
坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/035aa17e472d8532eb92bb943e8a29f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13d299c023fbb676b39e2aa4c6fb1fa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71a3e134c47166f72faab78e40f38d93.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
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【推荐2】已知
,
,
.
(1)求直线
的斜率并写出直线
的一个方向向量;
(2)若点
在线段
(包括端点)上移动,求直线
的斜率的变化范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c53c2ce5532642de107e0d85c75f3e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02b3fdf8aaaf4f6541290a4601e6f03c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff6b7670302e7015123b9446afab1f27.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)若点
![](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/03902478df1a55bc99703210bccab910.png)
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【推荐1】已知直线
过点
,且在两坐标轴上的截距之和为2.
(1)求直线
的方程;
(2)若直线
过点
且与直线
垂直,直线
与直线
关于
轴对称,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c76c41773aae617db1c0cc04bcf836f.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5285c050130455ad0648f22f7719cd00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e5c154445ca71ee9d4fb29a98b8965d.png)
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【推荐2】已知
三边所在直线方程为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ba52ef7e5e64893bb73e80be4beee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa96c86a9085aeb7a57ce955200f0c80.png)
.求:
(1)
边上的高所在的直线方程;
(2)
的平分线所在的直线方程;
(3)
与
边上的中位线所在的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ba52ef7e5e64893bb73e80be4beee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa96c86a9085aeb7a57ce955200f0c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9450684ca4c5f6ee21f226f5f40abe2.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
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【推荐1】已知
的三个顶点坐标为
,
,
.
(Ⅰ)求
的外接圆
(
为圆心)的标准方程;
(Ⅱ)若斜率为1的直线
与圆
交于
,
两点,求
面积的最大值及此时直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a18a7caa080988802ba1145b4fe4203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ea6b5f801158380a615c3f99f615e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca0b4afd16b79370532de44989d6c43d.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(Ⅱ)若斜率为1的直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c28abb154f41e1ca9816c9c9c2433ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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【推荐2】已知圆C经过
三点.
(1)求圆C的方程;
(2)设点A在圆C上运动,点
,且点M满足
,记点M的轨迹为
.
①求
的方程;
②试探究:在直线
上是否存在定点T(异于原点O),使得对于
上任意一点P,都有
为一常数,若存在,求出所有满足条件的点T的坐标,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e79869a2c7dbf76a316c53e15dfa9646.png)
(1)求圆C的方程;
(2)设点A在圆C上运动,点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe7e146a6a05f8e79fdda47d419cbbd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b661c79b7b866204fd4084c37bdd4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
②试探究:在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c037b199f33cbed1efcffdd2376d8c10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c29268e1cd694dcbad7d87e581ba982.png)
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