题目
题型:不详难度:来源:
已知椭圆C:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154500-97434.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154500-34416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154500-80678.png)
(Ⅰ)求椭圆方程;
(Ⅱ)设P为椭圆上一点,A为左顶点,F为椭圆的右焦点,求
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154500-52201.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154500-66570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154500-52201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154500-86307.png)
解析
试题分析:解:(I)依题意得:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154500-66406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154500-57570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154500-66570.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154500-22028.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154501-36954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154501-40665.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154501-30409.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154501-70845.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154501-17971.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154501-62688.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154501-35633.png)
根据二次函数的单调性可得:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154500-52201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154500-86307.png)
点评:最值问题解题的思路是先设出变量,表示出要求的表达式,结合圆锥曲线的方程,将其转化为只含一个变量的关系式,进而由不等式的性质或函数的最值进行计算.
核心考点
试题【(本题满分12分)已知椭圆C:的上顶点坐标为,离心率为.(Ⅰ)求椭圆方程;(Ⅱ)设P为椭圆上一点,A为左顶点,F为椭圆的右焦点,求的取值范围.】;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
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154453-23808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154453-14258.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154453-43043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154453-25194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154454-12513.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154454-20335.png)
如图,已知椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154439-88079.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154439-78117.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154440-78635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154440-78635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154440-31331.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154440-81941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154440-55491.jpg)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154440-78635.png)
(Ⅱ)作直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154441-53583.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154441-95041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154440-78635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154441-86327.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154440-78635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154441-53861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154441-37271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154442-31414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154442-59048.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154433-21503.png)
A.10 | B.8 | C.6 | D.不确定 |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154417-24548.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154417-41802.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154418-24686.png)
(Ⅰ)求椭圆方程;
(Ⅱ)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154418-28844.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154418-98311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154418-12828.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154418-64726.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154418-50989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154419-36334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154411-67442.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023154412-23308.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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