题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131355-41197.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131355-92822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131356-48159.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131356-58862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131356-59470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131356-22889.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131357-52028.png)
(2)是否存在直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131357-77018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131357-77018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131356-59470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131357-31751.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131356-22889.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131357-56880.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131358-22424.jpg)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131358-17131.png)
解析
试题分析:(1)利用正方形面积为2,即可得到对角线的长为2,则可得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131356-59470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131356-22889.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131358-30521.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131358-10514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131358-85836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131359-10531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131358-10514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131359-61905.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131358-10514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131359-33510.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131358-85836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131359-89913.png)
(2)分以下两种情况讨论,当直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131359-80527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131359-80527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131400-97674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131400-97674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131359-80527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131400-79246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131357-56880.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131359-80527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131359-80527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131400-90622.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131359-80527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131400-79246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131400-46733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131401-23032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131359-80527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131401-10521.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131400-46733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131401-23032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131401-68341.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131401-59999.png)
的焦距为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131401-38915.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131402-30452.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131402-76308.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131402-70112.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131402-23275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131403-24467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131403-28975.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131403-72746.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131358-85836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131403-37356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131404-71003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131358-17131.png)
(2)不存在符合题设条件的直线.
①若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131359-80527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131404-49765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131359-80527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131359-80527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131400-97674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131404-59108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131404-27884.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131404-62190.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131405-66240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131405-48406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131401-59999.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131404-27884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131401-59999.png)
②当直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131359-80527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131404-49765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131359-80527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131359-80527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131400-90622.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131405-62704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131406-52077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131359-80527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131406-48937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131400-79246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131406-24610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131406-75587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131406-52077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131406-38850.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131407-95137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131359-80527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131407-73262.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131407-18097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131359-80527.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131407-85760.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131407-19996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131408-31129.png)
于是
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131408-86281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131408-78337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131401-59999.png)
综上不存在符合题目条件的直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131359-80527.png)
核心考点
试题【如图5,为坐标原点,双曲线和椭圆均过点,且以的两个顶点和的两个焦点为顶点的四边形是面积为2的正方形.(1)求的方程;(2)是否存在直线,使得与交于两点,与只有一】;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/20191023/20191023131341-40877.png)
(1)求点P的坐标;
(2)焦点在x轴上的椭圆C过点P,且与直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131341-55585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131341-34715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131342-83425.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131327-70850.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131327-41264.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131328-41007.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131328-49996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131328-88277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131328-19525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131328-80983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131328-49996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131329-71995.png)
(1)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131329-13985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131329-20228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131328-49996.png)
(2)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131329-13985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131329-22297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131330-95125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131330-16481.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131330-99374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131318-22562.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131318-79233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131319-76815.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131319-57998.png)
(1)求椭圆的离心率;
(2)设P为椭圆上异于其顶点的一点,以线段PB为直径的圆经过点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131319-55275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131319-62294.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131319-51321.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131319-31532.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131319-99713.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131310-83865.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131310-96893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131310-99859.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131310-83749.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131311-36797.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131310-96893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131310-83749.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131311-79613.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131310-83749.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131306-70641.png)
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