题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220511-14712.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220511-88063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220512-51673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220512-33003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220512-35850.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220512-33003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220512-80241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220512-19501.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220513-75259.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220513-70630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220513-73918.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220512-33003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220512-80241.png)
(2)过点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220512-80241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220512-19501.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220514-28499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220514-93018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220512-33003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220514-40258.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220514-62378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220514-28499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220515-69957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220515-51729.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220515-25093.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220515-53981.png)
解析
试题分析:(1)设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220516-68747.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220516-23944.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220516-42121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220516-48015.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220517-45757.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220512-19501.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220517-95910.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220517-95910.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220517-65735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220512-80241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220517-92681.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220518-23824.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220512-19501.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220518-24980.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220514-40258.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220515-51729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220518-84075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220518-92694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220519-28404.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220519-88787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220519-80757.png)
试题解析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220519-70077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220516-68747.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220520-21790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220520-16607.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220516-48015.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220520-50319.png)
于是
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220520-31292.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220521-81866.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220521-20949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220521-95210.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220522-10366.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220522-13968.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220522-35468.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220522-62744.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220523-73925.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220523-77198.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220517-92681.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220523-77838.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220523-27907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220523-45945.png)
由于
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220524-91782.png)
而由韦达定理:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220524-60029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220524-83961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220524-37539.png)
设以线段
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220515-51729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220518-84075.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220518-92694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220525-55940.png)
由对称性知定点在
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220512-19501.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220519-28404.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220519-88787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220519-80757.png)
核心考点
试题【如图,已知椭圆的离心率是,分别是椭圆的左、右两个顶点,点是椭圆的右焦点。点是轴上位于右侧的一点,且满足.(1)求椭圆的方程以及点的坐标;(2)过点作轴的垂线,再】;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/20191025/20191025220505-32745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220505-85799.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220505-32745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220506-93367.png)
条件 | 方程 |
①![]() | ![]() |
②![]() | ![]() |
③![]() ![]() | ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220506-93367.png)
A.
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220507-88552.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220507-91006.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220507-95453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220507-95453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220507-91006.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220507-88552.png)
C.
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220507-91006.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220507-88552.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220507-95453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220507-88552.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220507-95453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220507-91006.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220451-98910.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220452-34684.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220452-20677.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220452-92235.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220452-32200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220452-92235.png)
(2)设过定点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220453-52341.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220453-36899.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220453-47329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220453-84248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220454-33429.png)
中
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220454-28581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220453-36899.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220454-40655.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220438-70281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220438-95386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220438-84467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220438-63528.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220438-98405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220439-59776.png)
(1)求m的值;
(2)O为坐标原点,若
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220439-88684.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220439-79228.png)
(3)在(2)的条件下,设椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220439-79228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220439-17601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220440-38525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220440-38186.png)
(1)求椭圆C的方程;
(2)是否存在平行于OA的直线l,使得直线l与椭圆C有公共点,且直线OA与l的距离等于4?若存在,求出直线l的方程;若不存在,请说明理由.
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220426-31777.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220427-75986.png)
(1)求椭圆C的方程;
(2)设O为坐标原点,M是l上的点,F为椭圆C的右焦点,过点F作OM的垂线与以OM为直径的圆D交于P,Q两点.
①若PQ=
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025220427-14029.png)
②若M是l上的动点,求证点P在定圆上,并求该定圆的方程.
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