题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-59572.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-77287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-78487.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-54212.png)
(1)求抛物线的方程;
(2) 设点
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-40189.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-48537.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-83659.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-86411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-13025.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-37784.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104513-89498.png)
解析
试题分析:(1)由于点
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-78487.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104513-56768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-54212.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104513-62036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104513-47603.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104513-47603.png)
(2)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-48537.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-83659.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104513-42491.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104513-42491.png)
(1)设
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104513-56768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-54212.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104513-63715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104513-99364.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104513-90726.png)
因此
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104513-10703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104513-67657.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-37784.png)
(2)由(1)知点
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-78487.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104513-76045.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-48537.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-83659.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104513-42491.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104513-42491.png)
设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104514-63569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104514-27220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104514-21219.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104514-45211.png)
把
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104514-53583.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104514-36303.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104514-14102.png)
由韦达定理得
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104514-87281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104514-85387.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104514-64444.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104514-46854.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104515-62674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104515-42931.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104515-91066.png)
由题意
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104515-92864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104515-81469.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104515-74725.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104515-79275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104515-84495.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-78487.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-13025.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104515-12510.png)
因此
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104515-68774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104516-41264.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104516-64546.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104516-16378.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104516-73755.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104516-28262.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104516-15742.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104516-73755.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104516-64482.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-86411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104516-28965.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-86411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104516-73399.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104512-13025.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104513-89498.png)
核心考点
试题【已知抛物线的焦点为,点是抛物线上的一点,且其纵坐标为4,.(1)求抛物线的方程;(2) 设点是抛物线上的两点,的角平分线与轴垂直,求的面积最大时直线的方程.】;主要考察你对抛物线的定义与方程等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104502-62664.png)
(1)当且仅当
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104502-32798.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104502-56715.png)
(2)当直线的斜率为2时,求
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104503-77326.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104455-79225.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104455-47759.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104455-85236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104455-58620.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104456-84548.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104446-24108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104446-42415.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104446-67627.png)
(1)求曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104446-24108.png)
(2)如果直线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104446-21936.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104446-24108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104446-86155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104446-58827.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104447-84570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104447-57649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104447-16021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104447-84570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104441-65569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104441-10535.png)
A.
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104441-62549.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104441-14701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104441-71377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104441-57381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024104438-94868.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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