题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011726-35896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011726-95670.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011726-15450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011727-18601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011727-52430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011726-35896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011727-36856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011726-35896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011727-18601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011727-52430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011727-23913.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011728-50127.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011728-67923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011727-23913.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011728-50127.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011728-46161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011728-41842.png)
(1) 求点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011728-46161.png)
(2) 证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011727-18601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011727-52430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011726-15450.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011729-35919.png)
解析
试题分析:(1)设点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011727-18601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011727-52430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011729-19987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011729-41368.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011727-23913.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011728-50127.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011726-35896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011727-18601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011727-52430.png)
∴直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011727-23913.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011729-73125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011728-50127.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011730-67255.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011728-67923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011730-30209.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011730-39463.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011727-18601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011727-52430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011726-35896.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011730-22681.png)
∴ 直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011727-23913.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011730-64281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011728-50127.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011731-99662.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011731-94124.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011731-75230.png)
∴点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011728-46161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011731-61172.png)
(2) 证法1:∵
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011726-15450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011726-35896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011731-91767.png)
∴ 直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011732-57126.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011732-98477.png)
直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011732-82564.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011732-82587.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011733-87254.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011729-35919.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011727-18601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011727-52430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011726-15450.png)
证法2:∵
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011726-15450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011726-35896.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011733-40658.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011733-18484.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011733-82925.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011733-46109.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011734-27086.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011727-18601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011727-52430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011726-15450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011734-35355.png)
点评:向量法证明三点共线的常用方法:
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011734-72966.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011734-40999.png)
核心考点
试题【已知抛物线:的焦点为,、是抛物线上异于坐标原点的不同两点,抛物线在点、处的切线分别为、,且,与相交于点. (1) 求点的纵坐标; (2) 证明:、、三点共线;】;主要考察你对曲线与方程的应用等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011721-55304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011721-35766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011721-21532.png)
A.9 | B.4.5 | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011713-15786.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011713-88346.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011713-30609.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011713-60129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011713-90032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011713-45259.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011713-99696.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011713-22297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011714-88308.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011704-58271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011704-18569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011704-58271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011704-39187.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011705-21525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011705-36045.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011705-76872.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011658-57370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011658-57747.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011658-23955.png)
(Ⅰ)求动点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011658-57370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011658-52902.png)
(Ⅱ)过点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011659-44139.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011658-52902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011659-80711.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011659-80711.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011659-80711.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011658-52902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011659-95185.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011659-85163.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011645-14597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011645-42522.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011645-39601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011645-14597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011645-93039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011645-39601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011646-48330.png)
(Ⅰ)写出椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011645-14597.png)
(Ⅱ)设点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011646-51097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011645-14597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011646-16326.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011646-58130.png)
(Ⅲ)直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011647-84802.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011647-68561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011645-14597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011647-45568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011647-19407.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011648-70595.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011647-84802.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011648-98181.png)
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