题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043056-98004.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043057-97292.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043057-80778.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043057-14781.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043057-80778.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043057-34567.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043058-32281.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043057-34567.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043058-51147.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043058-80967.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043058-21423.gif)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043058-58201.gif)
(Ⅱ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043059-29702.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043059-83047.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043059-19900.gif)
的关系,并证明之.
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043059-30455.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043100-25789.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043100-27796.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043100-28455.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043100-28677.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043058-51147.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043100-79370.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043101-55912.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043101-49455.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043101-84224.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043101-35081.gif)
(Ⅰ)由
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043102-94154.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043102-28351.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043102-64930.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043102-33913.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043102-66605.gif)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043103-28150.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043059-30455.gif)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043103-86061.gif)
当且仅当
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043103-14487.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043103-26154.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043059-29702.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043104-83353.gif)
此时,
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043104-85265.gif)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043059-83047.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043059-19900.gif)
核心考点
试题【(本小题满分13分)设椭圆的左右焦点分别为,离心率,过分别作直线,且,分别交直线:于两点。 (Ⅰ)若,求 椭圆的方程;(Ⅱ)当取最小值时,试探究与的关系,并证明】;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/20191026/20191026043043-40258.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043044-23395.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043044-88417.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043044-62188.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043044-54505.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043044-51145.gif)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043045-19938.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043045-19111.gif)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043045-27289.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043045-20057.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043046-55930.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043045-19111.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043046-96860.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043035-50255.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043035-80207.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043035-64199.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043035-70111.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043035-64199.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043035-70111.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043035-22899.gif)
(2)已知直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043036-20856.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043036-81641.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043036-87507.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043036-67101.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043026-66076.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043026-53282.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043026-63456.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043026-22975.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043026-35993.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043026-22975.gif)
(Ⅱ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043026-33205.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043026-41821.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043026-22975.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043027-15452.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043027-23353.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043027-15452.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043027-23353.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043026-22975.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043027-83452.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043027-48488.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043027-62628.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043026-41821.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043016-48094.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043017-25730.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043017-79691.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043017-31929.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043017-41109.gif)
(2)若G为椭圆上不同于长轴端点任一点,求∠
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043017-62727.gif)
(3)过
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043017-25730.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043017-57750.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043017-64606.gif)
求椭圆的方程
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043009-23716.gif)
(1)求抛物线的标准方程
(2)过(1)中抛物线的焦点F作动弦AB,过A、B两点分别作抛物线的切线,设其交点为M,求点M的轨迹方程,并求出
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026043009-30146.gif)
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