过点
的直线分别与
轴、
轴的正半轴交于A,B两点,求
(O为坐标原点)面积取得最小值时的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c38f266df4834d1e546d66547b80220.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
23-24高二上·全国·课后作业 查看更多[6]
北师大版(2019) 选修第一册 数学奇书 第一章 直线与圆 §1 直线与直线的方程 1.3 直线的方程 第1课时 直线方程的点斜式和直线方程的斜截式(已下线)第1章 直线与方程章末题型归纳总结(2)重庆市乌江新高考协作体2024届高三上学期期中数学试题(已下线)第一章 直线与方程(压轴题专练)-2023-2024学年高二数学单元速记·巧练(苏教版2019选择性必修第一册)(已下线)专题13 直线的方程9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12 直线的方程8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:2023-09-03 10:48:09
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解答题-证明题
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适中
(0.65)
解题方法
【推荐1】在
中,点
在
边上,且满足
.
(1)求证:
;
(2)若
,
,求
的面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25d1dfc401ebaa391b7035f19db9f4db.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e051da5c8aea7ef4a467bfaa07256b7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4b2446b140a78f3ca1c6a5f44925193.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833cfda415649b832cc136caed392753.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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|
适中
(0.65)
【推荐2】已知向量
满足
,且
,令
.
(1)求
(用
表示);
(2)若
对任意
,任意
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028866c2a8d288c11b731c22fa290d5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08de7d4f7b8cdb163797e100abce0bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a73ba20c87165087f4d1f8b0f7f97fdf.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a73ba20c87165087f4d1f8b0f7f97fdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d3dc970d744b786a666908d007787c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8326eccb6fccce4cad9ff889bf0febbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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适中
(0.65)
名校
【推荐1】已知三角形的三个顶点
,
,
.
(1)求线段
的垂直平分线所在直线方程;
(2)求过
边上的高所在的直线方程;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913f78382630e50543e5f7192cae3ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fc992136ecb52fec1577ba695dff3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5558ffa6dc28d437c0467c7f361d444.png)
(1)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)求过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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解答题-问答题
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适中
(0.65)
解题方法
【推荐2】如图,射线
与
轴正半轴的夹角分别为
和
,过点
的直线
分别交
,
于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/30/b7936fc0-f005-4a98-a509-2a18eb04a307.png?resizew=172)
(1)当线段
的中点为
时,求
的方程;
(2)当线段
的中点在直线
上时,求
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cf272eb7e7966caea1de1a30875bca8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30c20e88a33043f4279fff360c81006e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/996bf3d35b6763cbc1a423b13a9df2dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bb2aa9eca8293b7c9cf86a7e3b333b9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e043cab11cd1ce20f74ca764324892a7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/30/b7936fc0-f005-4a98-a509-2a18eb04a307.png?resizew=172)
(1)当线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)当线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655c814385ae1a64373cc76c259e8bb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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解答题-问答题
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适中
(0.65)
【推荐1】已知函数
,
.
(1)若
的解集为
,求直线
与坐标轴围成的三角形面积;
(2)若
的值域为
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,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/160ba72087dbd60feb1cb651e1396dc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ceed736009579fd415e6e0fb7c8d8d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d5f42cafa3f30f15049ba979b90f2c3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01250ef885535d8a4d874fd7fce1ded7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解答题-问答题
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适中
(0.65)
名校
解题方法
【推荐2】求适合下列条件的直线方程:
(1)经过点
,且在两坐标轴上的截距相同;
(2)求平行于直线
,且与两坐标轴围成的三角形面积为4的直线方程.
(1)经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8115c09f801cf0bb02293baef7bf137.png)
(2)求平行于直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d4cb0990b93c9900bab2784bef4b10f.png)
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