解题方法
1 . 在平面直角坐标系中,已知平行四边形
的三个顶点坐标:
,
,
.
(1)求点
的坐标,并证明平行四边形
为矩形;
(2)求
边所在的直线方程及
的内角平分线所在的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cb9e88d3e58141dba299dcd8edc4e18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63226b7867d7975ad3e5dbea83f50d07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437f923730cfbd1bc6f62738d607eca7.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
您最近一年使用:0次
23-24高二上·上海·课后作业
解题方法
2 . 求证:在直角坐标平面内,如果两条直线平行,那么它们的倾斜角相等.
您最近一年使用:0次
3 . 已知椭圆
的离心率为
,其左、右顶点分别为
,左右焦点为
,点
为椭圆上异于
的动点,且
的面积最大值为
.
(1)求椭圆
的方程及
的值;(
、
分别指直线
的斜率)
(2)设动直线
交椭圆
于
两点,记直线
的斜率为
,直线
的斜率为
,且
.
①求证:直线
过定点;
②设
的面积分别为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a200ca2c4af794f4d1c6a5443830b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc157c66eef6affd86e48432176c4240.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9626bd07f966ea26a51dcd8ceba04ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edf32f4d595c02a8c0f7cc5f8fd0c931.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d4a832771ba45d407f31000c8fcf37.png)
(2)设动直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2659bf25c135efc1e342b5f5e92d48d2.png)
①求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
②设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd9a706cc0a6ad655c22d40cea0efa5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3637753af5ce86be9c23a9beb6b5067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59c4295f918205f5598ecc9a96d8867.png)
您最近一年使用:0次
名校
解题方法
4 . 已知动圆
经过定点
,且与圆
:
内切.
(1)求动圆圆心
的轨迹
的方程;
(2)过
且垂直于
轴的直线
与轨迹
交于
,
两点(点
在第一象限),动直线
与轨迹
交于
,
两点,
,
分别位于直线
的两侧,且始终保持
,求证:直线
的斜率为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4a7482cb81b34df5a11807b8136a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf6b914a162ccf65f0833128429d88bf.png)
(1)求动圆圆心
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/5963abe8f421bd99a2aaa94831a951e9.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)
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f2b7a031dac6fa9b22a23d8de02084.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
您最近一年使用:0次
解题方法
5 . 已知直线
.
(1)求证:直线l恒过定点
;
(2)已知两点
,
,过点A的直线与线段
有公共点,求直线的倾斜角
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0227c8a365a6273bac498f4389b904ae.png)
(1)求证:直线l恒过定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a16a46f03535c5af872fa8fa9f21a431.png)
(2)已知两点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33b6d9bf7e7c23c6d4af809adbc445c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5558ffa6dc28d437c0467c7f361d444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
您最近一年使用:0次
6 . 用坐标法解答以下问题,如图,已知矩形
中,
,
,
分别为
的中点,
为
延长线上一点,________.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/de218a9c-395b-4e56-8a4e-9090293da2ef.png?resizew=125)
从①②中任选其一,补充在横线中并作答,如果选择两个条件分别解答,按第一个解答计分,
①连接
并延长交
于点
,求证:
;
②取
上一点
,使得
,求证:
三点共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef19f98e86ae7504671413780b3b1a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c4cd264c97c1f261229925cc5a6761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/de218a9c-395b-4e56-8a4e-9090293da2ef.png?resizew=125)
从①②中任选其一,补充在横线中并作答,如果选择两个条件分别解答,按第一个解答计分,
①连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef49a3ca580a144cc65a609c167facc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9b3940c3ea6eb8ba98ef7fbf5cce37.png)
②取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd98ef7ede5964bed06156a27020f07b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9b3940c3ea6eb8ba98ef7fbf5cce37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/898d3e920ab55020c4fb064963a139cc.png)
您最近一年使用:0次
21-22高二·江苏·课后作业
7 . 证明:如果两条直线斜率的乘积等于
,那么它们互相垂直.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
您最近一年使用:0次
21-22高二·江苏·课后作业
8 . 已知两条直线
,
的斜率分别为
,
,设
,
的夹角(锐角)为
.
(1)求证:
;
(2)求直线
与直线
的夹角
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06a86878234bcb0c3c144eca50c67fb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d529edd014d71f96cd09ac4d0b01ec5e.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04eed461026f69fe9ab2c5dc12af8ac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3380d4786a74a4b9350df5ffa37bb237.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
名校
9 . 如图,
是椭圆
长轴的两个端点,
是椭圆上与
均不重合的相异两点,设直线
的斜率分别是
.
(1)求
的值;
(2)若直线
过点
,求证:
;
(3)设直线
与
轴的交点为
(
为常数且
),试探究直线
与直线
的交点
是否落在某条定直线上?若是,请求出该定直线的方程;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533b93dd6eb6b474481247736699c76c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d3b51b2e06528f326a689b6c69f115b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dca1726d463bd741c904abd9b6589056.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279921f968ec1782d04dda1a1facbc50.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e62ec9eb13c5cfca501ff84357595755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bc865417ca32c364908d5068851afae.png)
(3)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9471be1cc5f1e85cc30a78d89e1ca5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/823ab696d27d40920c39b8c910789380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/17/e647a32b-6223-4a19-b66d-ded5e6774faf.png?resizew=232)
您最近一年使用:0次
2018-04-15更新
|
1677次组卷
|
7卷引用:上海市五校2022-2023学年高二下学期3月联考数学试题
上海市五校2022-2023学年高二下学期3月联考数学试题(已下线)第2章 圆锥曲线(基础、常考、易错、压轴)分类专项训练(2)(已下线)高二下期中真题精选(常考60题专练)-【满分全攻略】2022-2023学年高二数学下学期核心考点+重难点讲练与测试(沪教版2020选修一+选修二)【区级联考】上海市徐汇区2018届高三下学期学习能力诊断(二模)数学试题上海市建平中学2020-2021学年高二下学期3月月考数学试题(已下线)专题24 圆锥曲线中的存在性、探索性问题 微点2 圆锥曲线中的探索性问题上海市育才中学2023届高三上学期期中数学试题
名校
解题方法
10 . 如图,已知椭圆
的离心率为
,F为椭圆C的右焦点,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/12/58e25e5c-eaaf-4ced-a781-9cdedd4c9f7a.png?resizew=150)
(1)求椭圆C的方程;
(2)设O为原点,P为椭圆上一点,AP的中点为M,直线OM与直线
交于点D,过O且平行于AP的直线与直线
交于点E.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323227dd8a7a31c078eac609b9acf472.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f236182642bce92ffb3668b325ea5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7bf417767442935d2b9e49d18fbea79.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/12/58e25e5c-eaaf-4ced-a781-9cdedd4c9f7a.png?resizew=150)
(1)求椭圆C的方程;
(2)设O为原点,P为椭圆上一点,AP的中点为M,直线OM与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f307a38b295900b4127badf3a12167b.png)
您最近一年使用:0次
2018-04-03更新
|
939次组卷
|
3卷引用:北京市中国人民大学附属中学2023届高三统练(4)数学试题