题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230800-21515.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230800-81182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230800-34215.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230801-18370.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230801-80074.png)
(2)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230801-84299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230801-56372.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230802-38880.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230802-79017.png)
解析
试题分析:本题主要考查椭圆的标准方程、韦达定理等基础知识,考查运算求解能力、综合分析和解决问题的能力.第一问,用待定系数法,先设出椭圆方程,根据焦距和椭圆过
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230801-56372.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230802-52111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230800-21515.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230802-13339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230803-40248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230803-73268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230800-21515.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230803-35740.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230803-94617.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230803-35740.png)
试题解析:(1)设椭圆的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230804-45281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230804-89782.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230804-57035.png)
又因为椭圆过点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230800-34215.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230804-58785.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230805-32653.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230805-80126.png)
将
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230805-19615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230805-80126.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230805-77934.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230806-83141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230802-79017.png)
(2)设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230802-38880.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230806-18017.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230806-88860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230803-40248.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230806-12401.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230807-31905.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230807-91167.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230807-62246.png)
分子
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230807-96138.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230808-12682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230808-43429.png)
所以直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230802-38880.png)
核心考点
试题【已知椭圆的中心在原点,焦点在轴上,焦距为,且经过点,直线交椭圆于不同的两点A,B.(1)求的取值范围;,(2)若直线不经过点,求证:直线的斜率互为相反数.】;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/20191025/20191025230748-59792.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230749-97232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230749-74028.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230749-42607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230749-93781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230750-19840.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230750-50349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230750-26982.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230750-12248.png)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230750-50349.png)
(Ⅱ)过点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230750-19840.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230750-26982.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230751-77252.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230750-50349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230751-56364.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230751-77090.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230751-52720.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230750-50349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230730-23169.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230730-27844.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230730-58248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230730-62157.png)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230731-70527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230731-82062.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230731-70527.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230731-70527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230731-40140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230732-49998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230732-92232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230731-70527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230725-62417.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230725-23504.png)
A.![]() | B.2 | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230711-30631.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230711-65609.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230711-63057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230712-76102.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230712-12157.jpg)
(Ⅰ)设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230712-63256.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230711-63057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230713-26304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230712-63256.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230713-21302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230713-26304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230713-30768.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230713-68500.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230713-30768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230713-68500.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230714-14901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230714-53380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230713-30768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230714-37580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230714-14901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230702-38794.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230703-90686.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230703-83402.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230703-77766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230703-32437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230704-42610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230704-49244.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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