已知四边形的四个顶点分别为
,
,
,
.试判断四边形OABC的形状,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b62194097ac66a5093c57fca2f5b4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ca979687ffb2214e747525635a6912c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f20a748e7d78ccc3f7766fa58097ae0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99933128ec4db75e2838f40c91e90a96.png)
23-24高二上·全国·课后作业 查看更多[7]
(已下线)2.3 两条直线的位置关系湘教版(2019)选择性必修第一册课本例题2.3 两条直线的位置关系(已下线)高二上学期期中复习【第二章 直线和圆的方程】十大题型归纳(拔尖篇)-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)(已下线)2.1.2 两条直线平行和垂直的判定【第一练】(已下线)2.1.2 两条直线平行和垂直的判定【第二课】(已下线)专题12 两条直线平行和垂直的判定5种常见考法归类 - 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教A版2019选择性必修第一册)(已下线)专题13 两条直线的位置关系6种常见考法归类 - 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教B版2019选择性必修第一册)
更新时间:2023-09-11 16:12:41
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解答题-问答题
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解题方法
【推荐1】已知两点
.
(1)求直线
的斜率
和倾斜角
;
(2)求直线
在
轴上的截距.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74fcad031e93473a458883e0fe721cb5.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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【推荐2】直线l经过两条直线
和
的交点,且______
(1)求直线l的方程;
(2)求直线l与坐标轴围成的三角形面积.
试从以下两个条件中任选一个补充在上面的问题中,完成解答,若选择多个条件分别解答,按第一个解答计分.
①与直线
垂直.
②直线l在y轴上的截距为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fba71277c841fe60c8e220b8451f1f93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6dbb84826a687efc3be18b8df4ec41.png)
(1)求直线l的方程;
(2)求直线l与坐标轴围成的三角形面积.
试从以下两个条件中任选一个补充在上面的问题中,完成解答,若选择多个条件分别解答,按第一个解答计分.
①与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5ed34fb976d59e36f5ae68ba97f5ff2.png)
②直线l在y轴上的截距为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
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【推荐1】根据下列给定的条件,判断直线
与直线
是否平行.
(1)
经过点
,
,
经过点
,
;
(2)
的斜率为
,
经过点
,
;
(3)
平行于
轴,
经过点
,
;
(4)
经过点
,
,
经过点
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98b2cc0d2f6d3eee9a33db83e0c0830d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee07d86765c4fb74ac647742f16bd57c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318f2f6154dc3463b88fe889a5403c9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae3b4a7bac077d82961d3ad16d398cf.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3389f53711264b0acba3ba6019f8b908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18e9b80fdeaa8bd3cf97b3c214448f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/466e8c438084aef563c6aaeff3bca583.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec3fdb2722c0bcac5303546e87152a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0643ae2942b740d78b7ace0d4e630ac.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/887e587a4fb083a37f3d84f42874ec16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c762388d519c8da50ca40786d4966e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7883411e44a1f9c532b57c02f4ee9592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c112f1fb1f882a06b78fcdf8bcb1111.png)
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解答题-证明题
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名校
【推荐2】已知四边形
的顶点
.
(1)求斜率
与斜率
;
(2)求证:四边形
为矩形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389bc3f29c058067e06e0d0d2be399da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfef5b4f29e7ac1c03ad86a4578b988b.png)
(1)求斜率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f95cefb160c373407a49e3a8aee1a228.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6652d2342b9e97385ef10fcb71db3c2.png)
(2)求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389bc3f29c058067e06e0d0d2be399da.png)
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解题方法
【推荐1】
的三个顶点分别是
,
,
.
(1)求
边的垂直平分线
所在直线方程;
(2)求
内
边上中线
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/b02af485e17e7628fd5a3ace6e0a32ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b01e555bf9cbc0a88f92dbf05166add2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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2】已知
的三个顶点是
,
,
.
(1)求
边的高所在直线
的方程;
(2)若直线
过点
,且
,
到直线
的距离相等,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a26e951d6d2369e8da79a793a93a66a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e33238c8bd6859507da092650c7a7450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a4597a7a96b0b5c8268ddbe013aea6f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
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