题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130002-41639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130003-92674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130003-85165.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130003-85311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130003-83663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130003-85311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130004-87032.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130002-41639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130004-87032.png)
(2)请问是否存在直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130004-31553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130004-87032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130004-44606.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130002-41639.png)
两点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130004-71471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130005-87619.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130005-95673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130004-31553.png)
存在,说明理由.
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130002-41639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130005-70158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130004-87032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130006-38091.png)
(2)存在直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130004-31553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130004-31553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130006-56135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130006-78503.png)
解析
试题分析:(1)由题意结合椭圆的定义和抛物线的焦点坐标,得到关系式。
(2)假设存在这样的直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130004-31553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130006-15531.png)
解:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130002-41639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130005-70158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130004-87032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130006-38091.png)
(2)假设存在这样的直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130004-31553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130006-15531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130006-63867.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130007-66356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130007-86746.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130008-27295.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130008-91409.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130008-55283.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130008-35226.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130009-28588.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130005-95673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130009-92902.png)
将①②代入③得,
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130009-77172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130009-25128.png)
所以假设成立,即存在直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130004-31553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130004-31553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130006-56135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025130006-78503.png)
点评:解决该试题的关键是能利用图像变换准确得到曲线的方程然后利用向量的数量积来求解得到参数的值。
核心考点
试题【(本小题13分)曲线上任意一点M满足, 其中F(-F( 抛物线的焦点是直线y=x-1与x轴的交点, 顶点为原点O.(1)求,的标准方程;(2)请问是否存在直线满】;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/20191025/20191025125941-32041.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125942-75733.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125942-30887.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125942-17889.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125942-77998.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125943-70385.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125943-81263.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125942-17889.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125943-73849.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125944-16686.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125944-24735.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125944-70887.gif)
给定抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125840-65558.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125841-68420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125841-44364.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125841-68420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125841-98597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125841-44364.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125841-98444.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125841-52431.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125842-35333.png)
(Ⅰ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125841-98597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125842-78772.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125842-51048.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125841-98597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125734-31356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125734-31356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125734-31356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125734-31356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125734-77355.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125734-31356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125734-68819.png)
已知抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125658-63161.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125658-95106.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125659-69923.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125659-69082.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125659-69923.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125659-13831.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125658-63161.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125659-65633.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125700-82106.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125700-92539.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125700-95211.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125659-69923.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125701-20829.gif)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125700-92539.gif)
(2)经过
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125659-65633.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125700-82106.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125658-63161.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125701-63511.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125701-31386.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125701-63511.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125701-31386.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125701-36618.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125702-36416.gif)
(3)椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125700-92539.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125702-65024.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125702-65024.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125658-63161.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125702-97535.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125703-61356.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125703-59792.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125703-17473.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125704-68874.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125659-69923.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125658-63161.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125702-97535.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125703-61356.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125654-37777.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025125654-46458.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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