题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100859-57180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100859-88699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100900-60109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100900-34415.png)
(Ⅰ)求曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100859-88699.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100900-91706.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100900-66334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100900-70870.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100900-81991.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100901-40456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100900-70870.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100859-88699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100901-23674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100901-59399.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100901-86083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100901-30061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100901-54187.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100901-82194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100901-30816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100901-68365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100901-30816.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100902-57867.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100902-88245.png)
解析
试题分析:(Ⅰ)根据抛物线的定义及标准方程求解;(Ⅱ)先由
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100901-30061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100901-54187.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100901-82194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100901-30816.png)
试题解析:(Ⅰ)因为曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100859-88699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100900-60109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100900-34415.png)
根据抛物线定义知,曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100859-88699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100900-60109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100900-34415.png)
故其方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100902-57867.png)
(Ⅱ)由题意知,
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100902-29619.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100902-99125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100902-95530.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100902-98079.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100902-57227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100903-63820.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100903-83170.png)
同理,
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100903-89548.png)
于是
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100903-58944.png)
核心考点
试题【在平面直角坐标系中,已知曲线上任意一点到点的距离与到直线的距离相等.(Ⅰ)求曲线的方程;(Ⅱ)设,是轴上的两点,过点分别作轴的垂线,与曲线分别交于点,直线与x轴】;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
A.y=![]() | B.y=-![]() | C.x=![]() | D.x=- ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100845-26427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100846-67960.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100846-45369.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100846-64612.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100846-29267.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100846-87562.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100847-39744.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100847-90210.png)
A. 4 | B. 8 | C. 16 | D. 32 |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100833-64140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100833-31729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100833-31729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100833-29184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100833-29184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100834-29665.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100834-14179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100834-29633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100834-18650.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100834-33965.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100835-51371.png)
(1)求证:直线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100835-35660.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100834-18650.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100835-15601.png)
(2)过
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100834-14179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100835-58071.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100836-70131.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100836-70131.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100833-29184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100829-69422.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100829-93620.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100829-50087.png)
A.4 | B.-2 | C.4或-4 | D.12或-2 |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100824-58667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100825-95664.png)
A.4 | B.-2 | C.4或-4 | D.12或-2 |
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