1 . 已知三个不同的点
、
、
在同一条直线上,则实数a的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82388095a4e6d9decccae2b24fe28138.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c82f7dd760bd79882f2a1801c642adb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e43a4643cde614978f0a4133945d52a1.png)
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2022-04-24更新
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880次组卷
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6卷引用:1.1 直线的倾斜角与斜率(七大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)
(已下线)1.1 直线的倾斜角与斜率(七大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)沪教版(2020) 选修第一册 新课改一课一练 第1章 单元复习(已下线)第04讲 直线的斜率与倾斜角-【暑假自学课】2022年新高二数学暑假精品课(苏教版2019选择性必修第一册)(已下线)1.1 直线的斜率与倾斜角(已下线)1.1 直线的斜率与倾斜角(1)(已下线)第08讲 直线的倾斜角与斜率-2022年暑假高一升高二数学衔接知识自学讲义(人教A版2019)
2 . 已知三点
,
,
共线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9c730266ecf448c14608e24d37b986.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14168792b74b97b8bc51531604ba36b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b2de8f87a1010e179bf48c79be3289a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
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3 . 已知抛物线
,焦点
,
在准线上的投影为
,抛物线上有一点
,
的重心为
,则直线
的斜率最大值是______ .此时,若圆
与直线
相切,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e55590555905eb4f57889bbd16e39a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de97ac9a926e8dc041a196287de4006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f7ee64ca8e05546e297ddfc695d57d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de00a7eb8c91673ea82d1ef0af03dc0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f7ee64ca8e05546e297ddfc695d57d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
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4 . 已知双曲线
的左、右顶点分别为
,点
(与点
不重合)是双曲线
右支上一点,若
,则
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13d0ee6c655032e821c650ff3f6a482.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0254b6fcce508a64bf98c8e93b656beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6cd5ac1da3a54b8a854469a9e7f222f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
5 . 下列说法中,正确的是( )
A.直线![]() ![]() |
B.直线![]() ![]() |
C.![]() |
D.直线![]() ![]() |
您最近一年使用:0次
2022-01-22更新
|
660次组卷
|
4卷引用:四川省眉山市青神中学校2023-2024学年高二上学期期末模拟数学试题
四川省眉山市青神中学校2023-2024学年高二上学期期末模拟数学试题重庆市七校2021-2022学年高二上学期期末数学试题(已下线)1.3两条直线的平行与垂直(2)(已下线)2.1.2两条直线平行和垂直的判定(分层作业)(3种题型)-【上好课】高二数学同步备课系列(人教A版2019选择性必修第一册)
解题方法
6 . 函数
的最大值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58d079e27b390cbe08685c94c5504317.png)
您最近一年使用:0次
7 . 求函数
的最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2715ae634230abde615d6f01ed92ddfa.png)
您最近一年使用:0次
2021高二·江苏·专题练习
8 . 已知
,
,
三点,试判断这三点是否在同一直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1720c968854106555f4dfcb7f38cdac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1282cc43ebf4b459832fec04d805989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3b5e164e4c4a86eb4d9873797bad402.png)
您最近一年使用:0次
21-22高二上·浙江·期末
解题方法
9 . 已知椭圆
的离心率为
,且过点
,A,B分别为椭圆E的左,右顶点,P为直线
上的动点(不在x轴上),
与椭圆E的另一交点为C,
与椭圆E的另一交点为D,记直线
与
的斜率分别为
,
.
![](https://img.xkw.com/dksih/QBM/2021/6/11/2740933297233920/2740970709590016/STEM/3f18e90c-2a8f-45a1-a2e8-23e451006f49.png?resizew=232)
(Ⅰ)求椭圆E的方程;
(Ⅱ)求
的值;
(Ⅲ)证明:直线
过一个定点,并求出此定点的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef233ad3db01fa3ce9ee94eaad8e64e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://img.xkw.com/dksih/QBM/2021/6/11/2740933297233920/2740970709590016/STEM/3f18e90c-2a8f-45a1-a2e8-23e451006f49.png?resizew=232)
(Ⅰ)求椭圆E的方程;
(Ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67351fe10fcfc3f9072eec4c60bfaaa5.png)
(Ⅲ)证明:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
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10 . 已知抛物线
的焦点为
,直线
交抛物线于不同的
两点.
(1)若直线
的方程为
,求线段
的长;
(2)若直线
经过点
,点
关于
轴的对称点为
,求证:
三点共线;
(3)若直线
经过点
,抛物线上是否存在定点
,使得以线段
为直径的圆恒过点
?若存在,求出点
的坐标,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6e15daf7b14dbff32c390f4984dcfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33cc0f9aa168e43cc5759f017d69b498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdc974093c70ddb5acdbae59378bed42.png)
(3)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd99db7870f44cc39d36e7a7b9beb8a.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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
您最近一年使用:0次
2021-05-11更新
|
1031次组卷
|
5卷引用:上海市浦东新区建平中学2024届高三下学期2月考试数学试卷
上海市浦东新区建平中学2024届高三下学期2月考试数学试卷上海市松江区2021届高三二模数学试题(已下线)考向25 直线与方程-备战2022年高考数学一轮复习考点微专题(上海专用)上海市控江中学2022届高三下学期3月月考数学试题上海市格致中学2023届高三下学期3月阶段性测试数学试题