题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195637-15404.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195638-60932.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195638-20169.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195638-63160.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195638-97655.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195639-47435.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195639-59186.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195638-97655.gif)
(2)设点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195639-33952.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195639-11485.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195638-97655.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195639-21687.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195640-60790.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195640-52632.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195640-85478.gif)
得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195640-19873.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195641-82587.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195641-47198.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195641-20750.gif)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195641-59112.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195641-18440.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195642-50388.gif)
化简的
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195642-32198.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195642-91675.gif)
因为直线AB斜率为1,所以
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195642-37272.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195643-45315.gif)
得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195643-49060.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195643-77594.gif)
所以E的离心率
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195639-21687.gif)
(II)设AB的中点为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195643-46314.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195643-88291.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195644-35338.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195639-11485.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195644-12072.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195644-69155.gif)
得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195644-40742.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195645-63005.gif)
故椭圆E的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195640-60790.gif)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195625-75654.jpg)
(本题满分15分)已知m>1,直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195625-61841.gif)
椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195625-44423.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195625-78104.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195625-17280.gif)
(Ⅰ)当直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195625-45734.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195625-39684.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195625-45734.gif)
(Ⅱ)设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195625-45734.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195625-17280.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195626-68679.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195626-35451.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195626-96346.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195626-43041.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195626-19581.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195626-24401.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195626-56508.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195613-33691.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195613-84839.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195613-80522.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195613-33045.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195614-89243.gif)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195613-33691.gif)
(Ⅱ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195614-72490.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195615-75216.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195608-86452.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195609-60989.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195609-61643.gif)
(A)1 (B)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195609-57206.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195610-15754.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195602-94512.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195602-89752.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195602-27321.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195603-86632.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195602-89752.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195603-12508.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195603-54762.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195603-95183.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195604-14609.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195603-12508.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195604-67820.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195602-94512.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195603-12508.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195604-62514.gif)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195603-54762.gif)
(Ⅱ)如果
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195604-36700.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195603-54762.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195549-39209.gif)
设椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195550-25982.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195550-37548.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195550-58765.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195550-69258.gif)
(1) 若
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195550-58765.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195550-25982.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195550-25982.gif)
(2) 设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195551-50430.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195551-77751.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195550-25982.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195550-58765.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195551-32860.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195551-71842.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195552-27129.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195552-94290.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195550-58765.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195550-25982.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023195550-58765.gif)
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