题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070019-47895.jpg)
(1)求抛物线的解析式;
(2)设抛物线的对称轴与x轴交于点M,问在对称轴上是否存在点P,使△CMP为等腰三角形?若存在,请直接写出所有符合条件的点P的坐标;若不存在,请说明理由.
(3)如图②,若点E为第二象限抛物线上一动点,连接BE、CE,求四边形BOCE面积的最大值,并求此时的点E的坐标.
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070019-25022.png)
(2)存在P1(-1,
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070020-59302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070020-31414.png)
(3)连OE设四边形BOCE的面积为S,点E的坐标为(
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070020-19634.png)
∵E在第二象限
∴3<x<0 -x2-2x+3>0
∵S=S△BOE+S△COE=
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070020-30735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070020-23049.png)
=
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070021-56094.png)
∵-3<x<0
∴当x=-
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070021-34165.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070021-90399.png)
此时,E(
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070021-90226.png)
解析
(2)把二次函数解析式化成
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070022-78376.png)
核心考点
试题【如图①,已知抛物线y=ax2+bx+3(a≠0)与x轴交于点A(1,0)和点B(-3,0),与y轴交于点C.(1)求抛物线的解析式;(2)设抛物线的对称轴与x轴】;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/20191019/20191019070013-60479.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070014-97613.png)
给出五种说法:①ab<0;
②方程
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070014-13855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070014-27432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070014-18361.png)
③a+b+c>0;④当x>1时,y随x的增大而增大;
⑤当y>0时,-1<x<3.
其中,正确的说法有
(把你认为正确的说法的序号都填上).
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070003-79171.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070004-50146.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070004-46893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070004-36608.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070004-65327.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070004-29437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019070005-60232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065944-75034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065944-13718.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065944-70721.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065944-65317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065945-68769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065945-89168.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065944-75034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065945-16895.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065944-70721.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065944-65317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065945-66307.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065944-13718.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065946-89207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065946-45832.png)
(1) 填空:
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065946-61978.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065946-12913.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065946-89207.png)
(2)设抛物线与
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065946-89696.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065947-24594.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065944-75034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065947-75325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065946-89696.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065947-10472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065944-75034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065947-24594.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065947-62506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065947-24594.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065947-62506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065946-89207.png)
(3)在(2)的条件下,若
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065947-62772.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065948-16834.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065948-52997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065948-36240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065948-95071.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065947-75325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065949-55884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065948-36240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065949-26304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065948-52997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065949-93643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065939-12169.png)
(1)求y1关于x的函数关系式。
(2)求出W关于x的函数关系式。
(3)商场经理如何采购,如何定价,才能使每月获得的总利润W最大?说明理由。
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065932-68255.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065932-57051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065932-68255.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065932-24019.png)
小题1:求抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065932-68255.png)
小题2:已知实数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065932-56484.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065932-89775.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065932-77251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065932-59536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065932-58767.png)
小题3:若抛物线先向上平移4个单位,再向左平移1个单位后得到抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065932-38559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065933-90815.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065933-56668.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065933-39335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065933-12611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065933-12611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065933-12611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065933-78374.png)
(参考公式:在平面直角坐标系中,若
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065934-33795.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065934-97423.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065934-45603.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019065934-39454.png)
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