题目
题型:不详难度:来源:
如图,椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183312-41090.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183312-81689.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183312-27809.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183312-41090.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183312-33392.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183312-16601.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183313-76486.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183313-29945.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183313-40252.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183313-33950.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183314-12929.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183314-27688.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183314-57564.gif)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183312-41090.gif)
(2)设点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183314-56350.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183315-16065.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183315-64873.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183314-56350.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183315-98087.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183315-64873.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183315-68892.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183316-98848.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183316-39396.gif)
∴ 椭圆的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183316-48238.gif)
(Ⅱ)假设存在椭圆上的一点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183316-74615.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183316-19771.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183314-56350.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183314-56350.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183316-19771.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183317-60485.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183317-80531.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183317-75067.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183317-94695.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183318-26729.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183318-80795.gif)
化简整理得:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183318-95621.gif)
∵ 点在椭圆上,∴
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183318-81482.gif)
解得:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183319-67252.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183319-36712.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183319-67252.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183319-63171.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183319-85061.gif)
∴ 椭圆上存在点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183315-64873.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183319-60104.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183320-69773.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183316-19771.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183314-56350.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183320-61547.gif)
解析
核心考点
试题【(本小题满分15分)如图,椭圆的中心在原点,焦点在轴上,分别是椭圆的左、右焦点,是椭圆短轴的一个端点,过的直线与椭圆交于两点,的面积为,的周长为.(1)求椭圆的】;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/20191023/20191023183307-51457.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183307-55449.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183307-35536.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183308-28204.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183308-93677.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183308-98451.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183308-69941.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183308-42044.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183309-95249.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183309-75352.gif)
如图,已知圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183257-99717.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183257-34772.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183258-89092.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183258-96819.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183258-87112.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183258-92585.gif)
(1)求圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183259-74319.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183259-12939.gif)
(
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183259-54463.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183259-10879.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183259-74319.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183259-12838.gif)
|
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183300-54259.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183259-74319.gif)
已知椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183237-93048.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183238-27420.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183238-38997.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183238-13883.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183238-53556.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183237-93048.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183239-85972.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183239-26902.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183239-75198.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183239-96907.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183240-87954.gif)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183237-93048.gif)
(Ⅱ)在线段
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183240-87323.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183240-33515.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183240-83609.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183241-68735.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183232-44484.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183232-75366.gif)
A.![]() | B.![]() ![]() | C.![]() | D.![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183222-29027.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183222-49439.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183223-50888.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023183223-86836.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
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