题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170924-39586.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170925-84419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170925-96374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170925-82703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170925-49863.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170925-35757.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170926-89332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170926-20499.png)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170926-82841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170926-42216.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170926-22942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170926-82841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170926-10417.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170926-26147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170927-71845.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170927-45627.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170927-59227.png)
答案
解:(I)由题设知,
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170927-10271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170928-17508.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170928-72159.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170928-92435.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170928-26552.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170926-82841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170928-14385.png)
(Ⅱ)解法1:设圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170926-26147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170929-29654.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170929-69582.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170929-70882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170929-75326.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170930-13359.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170930-34043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170926-82841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170930-36268.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170930-11763.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170930-87968.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170931-65855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170931-86182.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170927-59227.png)
解法2:设点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170931-84343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170931-48558.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170931-36046.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170932-20100.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170932-37891.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170932-46545.png)
因为点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170927-71845.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170929-29654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170932-92941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170933-70107.png)
又因为点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170926-22942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170926-82841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170933-59488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170933-93359.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170933-86255.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170933-31334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170934-38986.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170934-45483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170934-31605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170934-46495.png)
解析
核心考点
试题【设椭圆的右焦点为,直线与 轴交于点,若(其中为坐标原点).(Ⅰ)求椭圆的方程;(Ⅱ)设是椭圆上的任意一点,为圆的任意一条直径(,为直径的两个端点),求的最大值.】;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/20191023/20191023170917-16409.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170917-95505.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170917-68657.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170903-65836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170904-18057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170904-26027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170904-26027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170903-65836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170904-86944.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170904-50296.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170905-72109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170905-27101.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170904-18057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170905-37370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170905-72109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170905-99672.png)
⑴证明曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170905-99672.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170905-92861.png)
⑵设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170906-32766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170904-18057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170905-99672.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170906-61736.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170903-65836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170906-32766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170906-76376.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170905-99672.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170906-22832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170906-76376.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170907-82676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170859-78031.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170859-38096.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170900-65426.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170900-41292.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170900-82168.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170853-69774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170853-71828.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170853-98570.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170842-33378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170842-40958.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170842-59324.jpg)
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