题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042214-65534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042214-74539.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042214-34124.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042214-19118.png)
(1)平移该抛物线使其经过点
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042214-34124.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042214-77438.png)
(2)求该抛物线的对称轴与(1)中平移后的抛物线对称轴之间的距离.
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042215-61828.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042215-96749.png)
解析
试题分析:(1)由原抛物线求得点
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042215-16260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042215-16260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042215-67128.png)
试题解析:(1)设平移后的抛物线解析式为
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042215-95728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042215-25064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042215-77759.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042215-97525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042216-70714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042215-67128.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042216-21629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042216-69695.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042216-57249.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042215-61828.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042216-27277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042217-46108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042215-61828.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042217-13413.png)
∴两对称轴之间的距离为
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042215-96749.png)
【考点】1.二次函数解析式的求法;2.二次函数的图象.
核心考点
试题【如图,已知抛物线与轴交于点.(1)平移该抛物线使其经过点和点(2,0),求平移后的抛物线解析式; (2)求该抛物线的对称轴与(1)中平移后的抛物线对称轴之间的距】;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/20191019/20191019042203-87541.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042204-33924.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042204-51963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042204-88103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042204-93319.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042203-87541.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042205-28339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042205-25458.jpg)
(1)求出所有的点
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042205-25608.png)
(2)在
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042205-39435.png)
(3)从(2)的所有直线中任取一条直线,求所取直线与抛物线有公共点的概率.
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042149-45808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042149-96435.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042150-66068.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042150-13811.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042150-31241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042150-98963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042150-13811.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042151-98257.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042151-17669.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042151-13690.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042151-86348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042151-89154.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042152-78012.png)
(1)求抛物线的函数解析式;
(2)若点
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042151-86348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042152-24348.png)
(3)以
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042152-24348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042152-54952.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042152-13543.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042153-31058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042153-55941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042153-62037.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042129-47011.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042129-96337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042129-10044.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042130-12586.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042130-13119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042130-24400.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042130-13509.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042130-32377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042131-32297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042130-12586.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042130-13509.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042129-96337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042131-89585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042131-17479.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042131-27337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042131-56771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042130-13119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042132-14450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042132-35967.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042132-41251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042132-91748.png)
(1)求抛物线的解析式;
(2)当四边形
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042133-59859.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042130-13509.png)
(3)过点
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042129-10044.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042133-59859.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042120-62497.png)
A.(3,1) | B.(3,-1) | C.(-3,1) | D.(-3,-1) |
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042114-55983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042114-54052.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019042114-87720.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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