题目
题型:不详难度:来源:
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.
答案
小题1:(1) 由A点坐标得:
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084441-85475.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084441-53579.gif)
由抛物线顶点坐标
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084441-48647.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084441-67968.gif)
小题2:(2)① 当0<
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084440-58120.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084441-30149.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084442-37364.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084440-58120.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084442-23780.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084442-10288.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084442-75305.gif)
② 存在.
因
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084443-69118.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084443-28222.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084443-32116.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084443-92146.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084444-73967.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084444-19418.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084444-75862.gif)
解得:
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084444-80669.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084445-95893.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084445-13342.gif)
故存在三个点
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084445-55151.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084445-39770.gif)
解析
核心考点
试题【(本小题满分12分)已知二次函数图象的顶点坐标为M(1,0),直线与该二次函数的图象交于A,B两点,其中A点的坐标为(3,4),B点在轴上.小题1:(1)求m的】;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
![](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)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019084404-21277.png)
A.(0,3) | B.(0,-3) | C.(0,![]() | D.(0, -![]() |
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