23-24高二上·北京·期末
名校
解题方法
1 . 在平面直角坐标系中,过
且斜为k的直线l的方程为_________ ,联立该直线l方程与椭圆方程
,消去y,可以得到关于x的一元二次方程为__________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c832f2474efe89961ef41e884da7660c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.png)
您最近一年使用:0次
2 . 已知圆
经过点
,
且______.
(1)求圆
的方程;
(2)求以点
为中点的弦所在直线的方程.
从以下两个条件中任选一个,补充在上面横线中,并解答上面的问题.
①圆经过
;②圆心在直线
上;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9c730266ecf448c14608e24d37b986.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b714488457abc1d9d6bfda35dfea4f6.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)求以点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad20e2bc6576fc461419f8f138d26e7.png)
从以下两个条件中任选一个,补充在上面横线中,并解答上面的问题.
①圆经过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7089a4e568ed92b1230af589f4d47be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512f4c29ff276b7f35052ad4cc255ab5.png)
您最近一年使用:0次
名校
解题方法
3 . 给出下列命题:
①经过点
的直线都可以用方程
表示;
②若直线
的方向向量
,平面
的法向量
,则
;
③直线
必过定点
;
④如果向量
与任何向量不能构成空间向量的一个基底,那么
一定共线.
其中真命题的个数是( )
①经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75db25985d446632b3a2675347b08815.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914e6f4d048ccd9d8538d5f14ce04ef2.png)
②若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bc44c2c100d504f3bd2b71db08dc412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba4cd9a0008660e60d0cc8b2b8e67d7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daac3b69009a27d28fa04fd88c9bb102.png)
③直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51156bf5f18f9bbe5c80680252e43414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/990eaf5dbba84f199bdc438da81fcfa6.png)
④如果向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
其中真命题的个数是( )
A.3 | B.2 | C.1 | D.0 |
您最近一年使用:0次
2023-10-17更新
|
555次组卷
|
3卷引用:北京市顺义牛栏山第一中学2023-2024学年高二上学期10月月考数学试题
北京市顺义牛栏山第一中学2023-2024学年高二上学期10月月考数学试题北京市顺义区第二中学2023-2024学年高二上学期期中考试数学试题(已下线)专题07 直线过定点综合问题(期末选择题7)-2023-2024学年高二数学上学期期末题型秒杀技巧及专项练习(人教A版2019)
4 . 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)
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名校
解题方法
5 . 已知直线l过点
两点.
(1)求直线l的方程;
(2)已知在y轴上存在点P,满足
,求点P的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aebd99318ebe862caf886bafa7699e9a.png)
(1)求直线l的方程;
(2)已知在y轴上存在点P,满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b279b4c2bd589fec0af0c8e2af61e24.png)
您最近一年使用:0次
6 . 若两条相交直线
,
的倾斜角分别为
,
,斜率均存在,分别为
,
,且
,若
,
满足______(从①
;②
两个条件中,任选一个补充在上面问题中并作答),求:
(1)
,
满足的关系式;
(2)若
,
交点坐标为
,同时
过
,
过
,在(1)的条件下,求出
,
满足的关系;
(3)在(2)的条件下,若直线
上的一点向右平移4个单位长度,再向上平移2个单位长度,仍在该直线上,求实数
,
的值.
![](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/25f64fa38725c136504f723019a18dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e93fa313adc4ac7608ba9449fd755212.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/acde4b2d806af64c062dbcd1d5e3d0b6.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/8b89aeab979d926256319dada7cfede5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
(2)若
![](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/c3c9708ef0dc6d6f5dcf6596d3e4f6e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea77904446ed289b8750a23111c3229c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a2cb1413110a5b3ab7ce84965d31572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)在(2)的条件下,若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
2022-04-24更新
|
404次组卷
|
5卷引用:北京市中国人民大学附属中学2022-2023学年高二上学期数学期末复习试题(1)
北京市中国人民大学附属中学2022-2023学年高二上学期数学期末复习试题(1)沪教版(2020) 选修第一册 新课改一课一练 第1章 1.1 直线的倾斜角与斜率(已下线)1.3 两条直线的平行与垂直(已下线)第一次月考押题卷(测试范围:第一章、第二章)(已下线)第09讲 直线的方程(2)
7 . 已知曲线
:
(
,
,且
).
(1)若曲线
是焦点在x轴上的椭圆,求m的取值范围;
(2)当
时,过点
作斜率为
的直线l交曲线
于点A,B(A,B异于顶点),交直线
于P.过点P作y轴的垂线,垂足为Q,直线AQ交x轴于C,直线BQ交x轴于D,求线段CD中点M的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bfe009312e12b08aff907b060399172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4ebfef550eec07598671c5929259780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcba35b945865f4c52987ed739396acc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1c94474eb11954ad22add2bc56ee545.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc304a55feec5d8312d3082f1bb91a23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2aaabe4aad591509e821c098a6bc3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11e712cbc45226096ca649923d4b6ee8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2600a54b7bf3f79aaec7d49a47f6b4d2.png)
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解题方法
8 . 有下列命题:
①若两条直线平行,则其斜率必相等;
②若两条直线的斜率乘积为
,则其必互相垂直;
③过点
,且斜率为
的直线方程是
;
④同垂直于
轴的两条直线一定都和
轴平行;
⑤若直线的倾斜角为
,则
.
其中为真命题的有________________ (填写序号).
①若两条直线平行,则其斜率必相等;
②若两条直线的斜率乘积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
③过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/508fa4303c29161b939ff98d6721be17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/648411e9f7a212df0ccd7b7e06241bca.png)
④同垂直于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
⑤若直线的倾斜角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9c89eab34f319912ed5efb3f6f4592c.png)
其中为真命题的有
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9 . 已知三个条件①直线
的倾斜角比直线
的倾斜角大
②直线
的一个方向向量为
③在y轴的截距为-1
在这三个条件中任选一个,补充在下面的问题中,并作答(注:如果选择多个条件分别解答,按第一个解答计分)
(1)已知直线
过点
,且满足条件 ,求直线
的方程
(2)在(1)的条件下,若直线
与圆
相交于
,求弦长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b6fc0da4f7703cf4692b9a5e2a3412f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdaf49f9611922348aa2784465da614.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80772716f46493abce05c2a163a73ff6.png)
在这三个条件中任选一个,补充在下面的问题中,并作答(注:如果选择多个条件分别解答,按第一个解答计分)
(1)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad20e2bc6576fc461419f8f138d26e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)在(1)的条件下,若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a3fa28abed235d9217db1dc7109f29b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
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名校
解题方法
10 . 已知点
,且
,写出直线AB的一个方程____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53df27e3274a5f1ecdb24fb5cd0282c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5a64bcb77f5f64e4af6930c249a270.png)
您最近一年使用:0次