题目
题型:不详难度:来源:
已知椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125749-25650.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125749-56849.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125749-14030.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125749-70694.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125749-81071.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125749-98554.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125749-70694.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125750-16386.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125750-44547.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125750-10477.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125750-66559.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125750-39999.gif)
(I)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125749-70694.gif)
(Ⅱ)求线段
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125750-69207.gif)
(Ⅲ)在线段
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125750-69207.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125749-70694.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125750-18602.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125750-81238.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125751-63829.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125750-18602.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125751-29261.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125751-69940.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125751-98606.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125751-73493.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125751-90901.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125751-57315.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125751-43713.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125752-18445.gif)
故椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125749-70694.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125751-29261.gif)
(Ⅱ)直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125750-44547.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125752-96805.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125752-95977.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125750-44547.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125752-32539.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125752-52118.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125753-89530.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125753-29421.gif)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125753-24780.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125753-91062.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125753-45071.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125754-71629.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125754-95092.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125754-15765.gif)
则直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125754-52701.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125755-93647.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125755-22152.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125755-87248.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125755-94124.gif)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125755-78712.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125752-95977.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125756-27248.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125756-63331.jpg)
当且仅当
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125756-87314.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125756-98487.gif)
所以当
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125756-98487.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125750-69207.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125757-27161.gif)
(Ⅲ)由(Ⅱ)可知,当
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125750-69207.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125756-98487.gif)
则直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125750-44547.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125757-16576.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125757-68427.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125757-25768.gif)
若椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125749-70694.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125750-18602.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125750-81238.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125751-63829.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125750-18602.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125750-44547.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125758-80069.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125750-18602.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125750-44547.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125750-44547.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125758-80069.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125758-59329.gif)
设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125758-73083.gif)
则由
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125758-23782.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125758-67775.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125759-69889.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125759-19760.gif)
由平行线间的距离公式,得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125759-90314.gif)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125759-22007.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125800-99290.gif)
可求得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125751-69940.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125751-98606.gif)
核心考点
试题【(本小题满分13分)已知椭圆的短轴长为,且与抛物线有共同的焦点,椭圆的左顶点为A,右顶点为,点是椭圆上位于轴上方的动点,直线,与直线分别交于两点.(I)求椭圆的】;主要考察你对直线的倾斜角与斜率等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125737-99345.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125737-73509.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125737-52234.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125738-71930.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125738-45098.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125725-17504.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125725-99639.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125725-99639.gif)
(1)求曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125726-53057.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125719-49490.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125719-62264.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125715-97864.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125715-14059.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125715-60086.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125715-79595.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125716-81104.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125716-21340.gif)
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