题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181551-29758.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181551-24439.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181551-59598.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181551-83084.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181551-64954.gif)
(1)求椭圆C的方程;
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181552-58448.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181552-10050.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181552-40984.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181552-48107.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181553-28245.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181553-70687.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181553-32169.gif)
(2)∵
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181552-48107.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181553-16534.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181552-40984.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181554-12992.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181554-12992.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181554-61983.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181554-93626.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181554-40464.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181554-34875.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181555-61180.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181555-89085.gif)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181555-92409.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181555-85135.gif)
又由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181552-48107.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181556-62465.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181556-67446.gif)
将②式代入①式得:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181556-32390.gif)
消去
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181556-58393.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181556-87850.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181553-28245.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181557-95213.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181557-25811.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181557-75386.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181557-29842.gif)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181555-89085.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181557-29842.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181558-45570.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181558-89825.gif)
∴直线AB的斜率的取值范围是
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181558-79440.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181558-28654.gif)
解析
核心考点
试题【已知椭圆C:的短轴长为,右焦点与抛物线的焦点重合, 为坐标原点(1)求椭圆C的方程;(2)设、是椭圆C上的不同两点,点,且满足,若,求直线AB的斜率的取值范围.】;主要考察你对椭圆的定义与方程等知识点的理解。[详细]
举一反三
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181539-55072.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181539-70905.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181527-74944.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181527-83239.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181527-37332.gif)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181528-20390.gif)
(Ⅱ)过点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181528-47265.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181528-23808.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181528-20390.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181528-41176.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181529-86086.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181529-92474.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181528-23808.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181506-72892.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181507-67553.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181507-58620.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181507-67533.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181507-33955.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181507-73379.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181508-75037.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181508-47255.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181455-84253.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181456-94376.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181456-32386.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181456-66624.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181456-72122.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181457-34990.jpg)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181457-29363.gif)
(2)设过定点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181457-13120.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181457-69883.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181458-25312.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181457-69883.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181458-99222.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181458-27178.gif)
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