1 . 以坐标原点为对称中心,坐标轴为对称轴的椭圆过点
.
(1)求椭圆的方程.
(2)设
是椭圆上一点(异于
),直线
与
轴分别交于
两点.证明在
轴上存在两点
,使得
是定值,并求此定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3b351f66cf98455d42660520b5ff0c.png)
(1)求椭圆的方程.
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e7344dca1e40bf072371ddd5640111.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faf9f7adfb1276af4d84ce859e6b4247.png)
您最近一年使用:0次
2023-10-19更新
|
992次组卷
|
5卷引用:四川省部分名校2023-2024学年高三上学期10月联考文科数学试题
解题方法
2 . 判断下列各组三点是否共线:
(1)
,
,
;
(2)
,
,
;
(3)
,
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383f12cb70ca55eba4ff012771dbfa9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3326927e4b01e981a19109633141e06a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e61dd6cbb403ec51f5af91bd0e351b6.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b5a49b8191e84cc70e5eb8c7dd626b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddcd4d7078d5a9b2f8acf6347ba7f775.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad9053d5737eece07976764d700c1854.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cb6dcb76bfc69197676601d758ac341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29bd4aede5e2f00fc4aefd0f169e9fa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e5da25e349a06750be2866ccf741b55.png)
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2023-10-09更新
|
235次组卷
|
7卷引用:北师大版(2019)必修第二册课本习题 习题2-4
北师大版(2019)必修第二册课本习题 习题2-4(已下线)6.3.4 平面向量的数乘运算的坐标表示-高一数学同步精品课堂(人教A版2019必修第二册)(已下线)6.3.4 平面向量数乘运算的坐标表示10种常考题型归类(2)-高频考点通关与解题策略(人教A版2019必修第二册)(已下线)2.4 平面向量基本定理及坐标表示-同步精品课堂(北师大版2019必修第二册)(已下线)6.3.4 平面向量数乘运算的坐标表示——课堂例题(已下线)习题 2-4(已下线)2.4 平面向量基本定理及坐标表示6种常见考法归类(2)-【帮课堂】(北师大版2019必修第二册)
名校
3 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66aaef3979a438d04acb14a0092d29b4.png)
(1)判断A,B,C三点之间的位置关系;
(2)当
为何值时,
与
垂直.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66aaef3979a438d04acb14a0092d29b4.png)
(1)判断A,B,C三点之间的位置关系;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e42120a8f6c487a2831d06014194ffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dba1335f1dd1a3085befe40d9c49435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89265cbe3abc6b966ce8967fead448b.png)
您最近一年使用:0次
2023-04-21更新
|
255次组卷
|
2卷引用:广东省广州市真光中学2022-2023学年高一下学期期中数学试题
4 . 在平面直角坐标系
中,已知点A,B在抛物线
:
上,抛物线C在A,B处的切线分别为
,
,且
,
交于点P.
(1)若点
,求
的长;
(2)从下面①②中选取一个作为条件,证明另外一个成立.
①直线AB过抛物线C的焦点;②点P在抛物线C的准线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.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/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec3fdb2722c0bcac5303546e87152a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)从下面①②中选取一个作为条件,证明另外一个成立.
①直线AB过抛物线C的焦点;②点P在抛物线C的准线上.
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