名校
解题方法
1 . 已知
的三个顶点
、
、
.
(1)求
边所在直线的方程;
(2)
边上中线
的方程为
,
边上高线
过原点,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2de78b3148620cc740e52edb9a791c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf8f5d8be251bf2848d6d10aa0340f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25e92800c8a8cf3ab792ab9e61b8fb35.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cb3e0b614f6571ee55c33ac08c9a4a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2021-11-05更新
|
365次组卷
|
5卷引用:河北省唐山市第一中学2021-2022学年高二上学期期中数学试题
2 . 已知坐标平面内三点
.
(1)求
中AB边上的高所在的直线方程;
(2)若A,B,C,D可以构成平行四边形,且点D在第一象限,求点D的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5d6700b7f09865dfb7d642cf346eb64.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若A,B,C,D可以构成平行四边形,且点D在第一象限,求点D的坐标.
您最近一年使用:0次
名校
3 . 如图,
是某景区的瀑布群,已知
,点Q到直线
,
的距离均为2,现新修一条自A经过Q的有轨观光直路并延伸交道路
于点B.
![](https://img.xkw.com/dksih/QBM/2021/10/20/2833567223308288/2836942310957056/STEM/711a208beffe43b388307f83bd970afb.png?resizew=210)
(1)求
;
(2)当
取得最小值时,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1eb76f88cb973c220cffa1c9c0721a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c59ce770358d34fd40c0c6491b5b73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e9f7d1272b7344346b58b660aa260a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e9f7d1272b7344346b58b660aa260a.png)
![](https://img.xkw.com/dksih/QBM/2021/10/20/2833567223308288/2836942310957056/STEM/711a208beffe43b388307f83bd970afb.png?resizew=210)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a84af713ec9898211637cfa1b0ef3b2.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a99d2c4a23825f62aadcc40822b5eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5deba154ce6502c6687ce41606b0c61e.png)
您最近一年使用:0次
2021-10-25更新
|
284次组卷
|
5卷引用:河北省邢台市2021-2022学年高二上学期第一次月考联考数学试题
名校
解题方法
4 . 已知点
和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f229d34c48c7145e5c3f4eb46e1a517.png)
(1)求直线AB的斜率和AB的中点M的坐标;
(2)若圆C经过A,B两点,且圆心在直线
上,求圆C的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d2fc4f2cf7d7d9e5a54ac95cfa946f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f229d34c48c7145e5c3f4eb46e1a517.png)
(1)求直线AB的斜率和AB的中点M的坐标;
(2)若圆C经过A,B两点,且圆心在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f87ce39e2b89d40e02d578db34ecdefd.png)
您最近一年使用:0次
2020-10-18更新
|
395次组卷
|
6卷引用:河北省唐山市遵化市2021-2022学年高二上学期期中数学试题
5 . 已知椭圆
的左、右顶点分别为
、
,直线
与椭圆
交于
、
两点.
(1)点
的坐标为
,若
,求直线
的方程;
(2)若直线
过椭圆
的右焦点
,且点
在第一象限,求
、
分别为直线
、
的斜率)的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279cefeb5c389a37a71e5fd3925f5954.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(1)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd0ef2caa885ff5962250aaba37dcd4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab91fd1816600a17d829fc4ab0ae9adb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若直线
![](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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06b5aeef207c8b7b8ef89b772bd02c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18abc8b447e4a6ff19e6bd4a30cb7b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66a5b7813e902306477f91f9f4084cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279563c3c055777ce1aa369a2ef54aed.png)
您最近一年使用:0次
2020-12-15更新
|
409次组卷
|
10卷引用:河北省唐山市第一中学2021届高三上学期期中数学试题
河北省唐山市第一中学2021届高三上学期期中数学试题安徽省皖豫名校联盟体2021届高三(上)第一次联考数学(文科)试题(已下线)考点41 直线与圆锥曲线的位置关系-备战2021年高考数学(理)一轮复习考点一遍过(已下线)考点39 直线与圆锥曲线的位置关系-备战2021年高考数学(文)一轮复习考点一遍过(已下线)调研测试三(B卷 滚动提升检测)-2021年高考数学(文)一轮复习单元滚动双测卷(已下线)第九单元 解析几何 (A卷 基础过关检测)-2021年高考数学(文)一轮复习单元滚动双测卷安徽省芜湖市第一中学2020-2021学年高二上学期第三轮月考理科数学试题(已下线)专题08 平面解析几何-【备战高考】2021年高三数学高考复习刷题宝典(解答题专练)(已下线)2021届普通高等学校招生全国统一考试数学考向卷(五)(已下线)解密16 直线与方程(分层训练)-【高频考点解密】2021年高考数学(理)二轮复习讲义+分层训练
名校
解题方法
6 . 在平面直角坐标系中,
,
,设直线
、
的斜率分别为
、
且
,
(1)求点
的轨迹
的方程;
(2)过
作直线
交轨迹
于
、
两点,若
的面积是
面积的
倍,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913f78382630e50543e5f7192cae3ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c850811ba59a05e945a665196539a048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151e09f3a383d7811c619eef3a6398cf.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f7aca3a25e6ee2d8fa7544716ca683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a11cb104b04c4e6a1be700e81da279a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307d80faaf253cedb782efd4c14072c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
您最近一年使用:0次
2020-12-30更新
|
370次组卷
|
8卷引用:【市级联考】河北省石家庄市2019届高三毕业班模拟考试(二)数学(文)试题
【市级联考】河北省石家庄市2019届高三毕业班模拟考试(二)数学(文)试题河北省武邑中学2019届高三下学期第四次模拟数学(文)试题2020届湖南省长沙市雅礼中学高三上学期第2次月考数学(理)试题(已下线)专题05 解析几何中的与三角形面积相关的问题(第五篇)-备战2020年高考数学大题精做之解答题题型全覆盖(已下线)黄金卷13-【赢在高考·黄金20卷】备战2021年高考数学全真模拟卷(山东高考专用)江苏省南通市海安高级中学2020-2021学年高二上学期第二次阶段检测数学试题福建省莆田第二中学2020—2021学年高二5月月考数学试题上海市奉贤中学2021届高三上学期10月月考数学试题
解题方法
7 . 三角形的三个顶点是
,
,
,求BC边上的高所在直线的方程?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd74a2f7eebdbcb3eb206093e36ab82f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fd06f8a91025220ddc7c5b1be3627bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c04040d3c923915db0c38461e8e303c.png)
您最近一年使用:0次
名校
8 . 设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b7c55c670b75d058ccc00282a874516.png)
(1)当
时,求不等式
的解集;
(2)当
时,
恒成立,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b7c55c670b75d058ccc00282a874516.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966b60302d80d8613675bb3dd5c03164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba802ed7061d6a890adb6f60b142ffe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9cc215a10aaeb7d12c5c971725b21bb.png)
您最近一年使用:0次
2019-12-23更新
|
422次组卷
|
4卷引用:2020届河北省衡水中学高三下学期一调考试数学文科试题
2020届河北省衡水中学高三下学期一调考试数学文科试题广东省广州市广东实验中学2019-2020学年高三第三次阶段考试文科数学试题(已下线)2020届高三3月第01期(考点13-14)(文科)-《新题速递·数学》2020届湖南省长沙市雅礼中学高三第六次月考数学(文)试题
9 . 过抛物线
的对称轴上的定点
,作直线
与抛物线相交于
、
两点.
(1)证明:
、
两点的纵坐标之积为定值;
(2)若点
是定直线
上的任一点,设三条直线
,
,
的斜率分别为
,
,
,证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf2f0d9868a1a561f6415369cbf5ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02c25e28fd001fbf07c3f3ea2e89a35a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ff131c92aa9e10f696d374216cdcf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f95cefb160c373407a49e3a8aee1a228.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0721e40e4c6929a24c54d2035c4014a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b1241589f386e0091d54a3c97fd338c.png)
您最近一年使用:0次
2020-07-01更新
|
269次组卷
|
2卷引用:2020届河北省新乐市第一中学高三下学期高考冲刺数学试题
解题方法
10 . 已知△
的三个顶点分别是
,
,
,求
边上的高
所在的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9112bdf193400278a319ebd904d0f73e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15dae32953862fc6fbfb29645894a50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6fce944e30f49291d812e1a635ae0a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次