题目
题型:不详难度:来源:
已知:关于x的一元二次方程
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094142-83229.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094142-58400.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094142-58400.gif)
(2)若抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094142-72167.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094143-39139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094143-89041.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094143-29431.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094143-35628.gif)
(3)若抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094144-98969.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094144-80174.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094144-16781.gif)
答案
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094144-58904.gif)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094145-12621.gif)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094145-41949.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094145-59491.gif)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094145-64216.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094146-49966.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094142-58400.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094146-44344.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094144-58904.gif)
(2)解法一:
抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094144-58904.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094143-39139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094143-89041.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094143-29431.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094146-40912.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094145-12621.gif)
解法二:
抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094144-58904.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094143-39139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094146-86917.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094143-89041.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094143-29431.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094146-48554.gif)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094145-12621.gif)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094147-72081.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094147-62145.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094144-80174.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094147-69573.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094144-80174.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094147-68938.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094148-40699.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094148-41135.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094148-47499.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094148-92739.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094149-25974.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094144-80174.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094145-41949.gif)
核心考点
试题【已知:关于x的一元二次方程有两个实数根,且为非负整数.(1)求的值;(2)若抛物线向下平移个单位后过点 和点,求的值;(3)若抛物线上存在两个不同的点关于原点对】;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/20191019/20191019094126-15790.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094127-31484.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094127-25588.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094127-21590.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094127-54099.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094128-53845.gif)
(1)求直线
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094128-77248.gif)
(2)若点
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094128-31952.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094128-77248.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094128-27385.gif)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094129-18934.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094129-86786.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094129-33674.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094128-53845.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094129-18934.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094118-78191.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094115-29726.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094111-70260.gif)
(1)将
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019094111-70260.gif)
(2)指出该二次函数图象的对称轴和顶点坐标;
(3)当x取何值时,y随x的增大而增大?
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