题目
题型:不详难度:来源:
设函数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084454-15458.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084454-83518.gif)
小题1:(1)求证:不论
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084454-83518.gif)
小题2:(2)若该函数图象与
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084454-94970.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084454-83518.gif)
答案
小题1:(1)把
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084454-77654.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084454-15458.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084455-87823.gif)
把
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084455-18230.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084454-15458.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084455-84715.gif)
不同解法只要正确均给分
小题2:(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084455-73029.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084456-60017.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084454-94970.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084456-37987.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084454-94970.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084456-82436.gif)
∴此时
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084456-15425.gif)
综上所述,当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084455-73029.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084457-62670.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084454-15458.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084454-94970.gif)
有一个交点…1分
解析
核心考点
试题【(本小题满分10分)设函数(为任意实数)小题1:(1)求证:不论为何值,该函数图象都过点(0,2)和(-2,0);小题2:(2)若该函数图象与轴只有一个交点,求】;主要考察你对二次函数定义等知识点的理解。[详细]
举一反三
已知二次函数图象的顶点坐标为M(1,0),直线
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084439-10135.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084440-14960.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084440-41427.jpg)
小题1:(1)求m的值及这个二次函数的解析式;
小题2:(2)若P(
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084440-58120.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084440-93722.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084440-93722.gif)
①当0<
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084440-58120.gif)
②若直线AB与抛物线的对称轴交点为N,
问是否存在一点P,使以M、N、D、E
为顶点的四边形是平行四边形?若存在,
请求出此时P点的坐标;若不存在,请
说明理由.
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084418-81557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084419-16597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084419-36766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084419-49424.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084419-30831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084420-92715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084420-46040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084420-47942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084420-59140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084419-30831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084419-36766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084421-27225.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084421-69130.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084421-90042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084421-86731.png)
小题1:(1)求点
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084422-62615.png)
小题2:(2)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084422-90696.png)
小题3:(3)点
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084422-46349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084419-49424.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084422-46349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084422-26193.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084419-16597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084423-56634.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084422-46349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084423-93257.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084423-54305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084422-46349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084415-94829.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084411-60692.png)
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