题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093843-28934.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093843-22028.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093843-50041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093844-72919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093844-57381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093844-14219.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093845-62034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093845-48002.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093844-14219.png)
(2)与圆
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093845-25593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093845-63619.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093844-14219.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093846-33908.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093844-14219.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093846-79207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093846-93411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093846-64050.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093847-52058.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093847-84626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093847-63268.png)
解析
试题分析:(1)由题意知
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093847-82710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093847-84812.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093848-35656.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093848-35656.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093848-54618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093848-12118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093844-14219.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093848-17140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093849-47883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093849-33239.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093849-55633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093850-10674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093849-55633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093850-10674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093850-45082.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093850-97620.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093846-64050.png)
(1)由题知
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093847-82710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093850-81654.png)
又由抛物线定义可知
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093851-92227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093851-26555.png)
于是易知
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093851-93682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093851-42268.png)
由椭圆定义知
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093852-89474.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093852-51064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093852-46488.png)
从而椭圆的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093847-84626.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093849-33239.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093846-93411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093852-51509.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093852-89066.png)
又直线
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093845-63619.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093845-25593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093848-17140.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093853-62081.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093849-47883.png)
又联立
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093853-15128.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093853-22974.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093853-41288.png)
且
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093854-98540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093854-77024.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093854-83347.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093854-83166.png)
代入①式得
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093855-40293.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093855-66057.png)
又将②式代入得,
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093855-67979.png)
易知
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093855-65949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093856-20676.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093846-64050.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093856-70097.png)
核心考点
试题【已知分别为椭圆的上、下焦点,是抛物线的焦点,点是与在第二象限的交点, 且(1)求椭圆的方程;(2)与圆相切的直线交椭于,若椭圆上一点满足,求实数的取值范围.】;主要考察你对平面向量的概念等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093838-70039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093839-67027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093839-56836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093839-41225.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093839-58932.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093828-86553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093828-88618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093828-75285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093828-76977.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093828-66766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093828-88618.png)
①若
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093828-81628.png)
②若
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093829-72544.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093829-29377.png)
③若
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093829-24598.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093829-30515.png)
④对于任意向量
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093829-88301.png)
其中真命题的序号为__________.
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093816-53795.png)
A.若![]() |
B.若![]() |
C.若![]() ![]() ![]() |
D.若存在实数![]() ![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093809-27272.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093810-47032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093810-20181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093810-43290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093803-69369.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093803-14858.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093804-93445.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103093804-97936.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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