(1)已知
三个顶点坐标为
,
,
,求三角形
边上的中线所在直线方程;
(2)倾斜角为
且与直线
有相同纵截距的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fadc9a19de13ca7688ca93f0c70a8a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0baca988e757625c577e02752422a72d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f56120e30c41aa77a37eb4d46f6390.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)倾斜角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc2a344ab48a5bb53e2ee6e3378f81a6.png)
更新时间:2021-09-08 22:59:55
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解题方法
【推荐1】已知经过原点的直线
与圆
相交于
两点.
(1)若
,求
的斜率;
(2)已知存在
轴上的点
,使直线
的斜率之和恒为0,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c300667ae35e9edd197a91fd109b91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8f8b87e609e113f971649a6f80cf575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)已知存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b62769b7177ef4bc952dc1dd51d6b510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad26a6b4ca990cd4c53d1a74a2fe000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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适中
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解题方法
【推荐2】已知
的三个顶点是
,
,
,求:
(1)
边上的中线所在直线的方程;
(2)
边上的高所在直线的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/115a0c87ac14dbb770c95d74d6e26073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9f2b482e8a8e0e1b5c720a3574af70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c293fdb849822d49c621971e47f6627f.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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解题方法
【推荐1】已知直线
经过点
且斜率为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e8b4bbd2f9912adfc9864c0e1e76a9d.png)
(1)求直线
的一般式方程
(2)求与直线
平行,且过点
的直线的一般式方程
(3)求与直线
垂直,且过点
的直线的一般式方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2b337c32bd5408c0ed8a9ee9cde4cad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e8b4bbd2f9912adfc9864c0e1e76a9d.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)求与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/138506a762e636aa75a4d54f5b739b89.png)
(3)求与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/138506a762e636aa75a4d54f5b739b89.png)
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解题方法
【推荐2】已知椭圆
的方程:
,右准线
方程为
,右焦点
为椭圆的左顶点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/80ad5c02-f5e4-491b-95d5-fb79cc1151f4.png?resizew=206)
(1)求椭圆
的方程;
(2)设点
为椭圆在
轴上方一点,点
在右准线上且满足
且
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ee6969d1dba8a4c34e2a2b49cdc642.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/80ad5c02-f5e4-491b-95d5-fb79cc1151f4.png?resizew=206)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc51d69d5d751f11f8158ea43b1f0abf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93872dcaa61a80126f63b49f915958e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
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【推荐1】求分别满足下列条件的直线l的方程.
(1)斜率是
,且与两坐标轴围成的三角形的面积是6;
(2)经过两点
,
;
(3)经过点
,且在两坐标轴上的截距的绝对值相等.
(1)斜率是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
(2)经过两点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c6ff81aedbefa935da289dc632e78eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dde50d6633004bb2dd5eaceda05d88fa.png)
(3)经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de012bf98f137d6db8975496fddd3ba.png)
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名校
【推荐2】已知圆
过点
,且圆心在直线
上.
(1)求圆
的标准方程;
(2)过点
且斜率为
的直线
与圆
有两个不同的交点
,若
,其中
为坐标原点,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb77f102b68d1ec7623efa3cac5edc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c5a43a9d4e949953d15c1e199c0cfef.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/775f2a1378379ab224de7971178730d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](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/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c485f539ae7aa03c0427f35325279681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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