题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115606-99305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115606-95478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115606-81343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115607-37259.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115606-99305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115607-70176.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115607-68247.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115607-95512.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115607-70176.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115608-40766.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115608-26123.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115609-85685.png)
解析
试题分析:本题考查圆、直线、抛物线相交的问题,考查学生分析问题解决问题的能力.先将圆的直径求出来,再设出直线方程,方程中的中有一个参数
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115609-76933.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115609-76933.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115609-64485.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115610-74769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115607-95512.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115610-74769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115610-74769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115609-76933.png)
试题解析:圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115606-99305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115610-18404.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115610-90236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115610-94248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115607-70176.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115611-54693.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115611-62776.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115611-36251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115611-76534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115612-44276.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115612-63195.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115612-83718.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115612-48472.png)
因此
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115612-84179.png)
据等差,
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115613-65267.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115613-33927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115613-64431.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115613-71468.png)
即:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115607-70176.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115608-26123.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115609-85685.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115559-33593.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115559-18319.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115523-49562.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115523-39613.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115523-51443.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115523-25168.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115523-43964.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115523-25168.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115523-91593.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115523-39613.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115524-77259.jpg)
(1)求抛物线的解析式;
(2)若点P在直线BC上,且
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115524-13125.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115456-31398.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115456-81355.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115456-39668.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115456-82335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115457-57890.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115457-45262.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115457-44165.jpg)
(1)求该抛物线的标准方程.
(2)过Q的直线与抛物线的另一交点为R,与
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115457-60283.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115445-16330.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115445-56629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115446-59413.png)
(1)当线段AB的中点在直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115446-74375.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115446-59413.png)
(2)设F为抛物线C的焦点,当A为线段PB中点时,求△FAB的面积.
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115419-77140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115419-83591.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115419-26389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115419-90878.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025115420-37280.png)
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