(1)求经过直线
,
的交点,且过点
的直线的方程;
(2)求经过直线
和
的交点,且与直线
垂直的直线的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a27e954eee789ec7ef009dc61bb40b93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5ddf77381dd271e57d33320f6b23b0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98b2cc0d2f6d3eee9a33db83e0c0830d.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/18525754b614d8d2d03fcf6d2aeff520.png)
23-24高二上·全国·课后作业 查看更多[3]
更新时间:2023-09-11 16:12:41
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【推荐1】
中,
,
边上的高线方程为
,
边上的中线方程为
,求
边所在的直线方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ff9d4fdd0d176042505b7aac016852.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42a2b8b43e1fe82fc439d145e91b860c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12e35701dd16dbf6ec916064880b8b52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdc523f751a40a21dece5645b15af9a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0e08a39c6619123557148d195abfbe.png)
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【推荐2】已知直线
,
,
,其中
与
的交点为P.
(1)求过点P且与
平行的直线方程;
(2)求以点P为圆心,截
所得弦长为8的圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fc316966a38cfac924cfaeb10813bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90c109e57d8cb6b4012357bb45bdd29d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e9a9ddbf824d84c3b7617bd1ae0e72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(1)求过点P且与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fce9427c9b17e4d3cda0c3ff3e2e14.png)
(2)求以点P为圆心,截
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fce9427c9b17e4d3cda0c3ff3e2e14.png)
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【推荐1】已知
的顶点
,
边上的高
所在直线方程为
,
边上的中线
所在直线方程为
.
(1)求直线
的方程;
(2)求顶点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6329198247b9c39bb31f0ce7e08f1f57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdae78f4d3b8d8213ac3ac9a9567eb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55799a0a4b342f4dd4a397772b01b543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b683c0866e725bd30dd41c31149635cb.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)求顶点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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【推荐2】求经过两条直线
与
的交点
,且垂直于直线
的直线
的方程(化成一般式).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5a01affde526de97fc08e56acdf93e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07a0d5cc024f4f8c628ff50a6a190a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7722cff89db33455cc42ab7b7571f7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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【推荐3】已知直线
.
(1)若直线
与直线
垂直,且经过
,求直线
的斜截式方程;
(2)若直线
与直线
平行,且与两坐标轴围成的三角形的面积为2,求直线
的一般式方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea0ebea8c46d415c3ee394f201b3865d.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48befa5d90fafd8bfdb6c90fd241ebfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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【推荐1】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/e2ce2f5e22175e3ff8ab5e0afca58f9c.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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【推荐2】已知直线
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07a0d5cc024f4f8c628ff50a6a190a83.png)
,
(1)求直线
与直线
的交点M的坐标;
(2)求过点M且与直线
平行的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5a01affde526de97fc08e56acdf93e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07a0d5cc024f4f8c628ff50a6a190a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/234f99a58993bf3ba1b880b38e66f719.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(2)求过点M且与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fce9427c9b17e4d3cda0c3ff3e2e14.png)
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