题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083701-55333.png)
小题1:(1)求y与x之间的关系式.
小题2:(2)求当边长增加多少时,面积增加8 cm
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083701-55333.png)
答案
小题1:(1)y=(4+x)(3+x)-12=x
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083701-55333.png)
小题2:(2) 8= x
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083701-55333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083701-80833.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083701-72847.png)
所以边长增加1cm时,面积增加8 cm
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083701-55333.png)
解析
分析:(1)根据题意,借助于矩形面积,直接解答;
(2)在(1)中,把y=8代入即可解答.
解:(1)由题意可得:(4+x)(3+x)-3×4=y,
化简得:y=x2+7x;
(2)把y=8代入解析式y=x2+7x中得:x2+7x-8=0,
解之得:x1=1,x2=-8(舍去).
∴当边长增加1cm时,面积增加8cm2
核心考点
试题【(6分)矩形的长和宽分别是4cm, 3cm ,如果将长和宽都增加x cm ,那么面积增加ycm小题1:(1)求y与x之间的关系式.小题2:(2)求当边长增加多少】;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/20191019/20191019083654-72944.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083654-21577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083655-80512.png)
是抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083655-78411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083655-11329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083655-81165.png)
且此抛物线过点
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083655-60529.png)
小题1:(1)求此二次函数的解析式.
小题2:(2)用配方法求此抛物线的顶点为
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083656-74452.png)
小题3:(3)当x取什么值时, y随x增大而减小?
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083644-55667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083644-37554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083645-61046.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083645-31673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083645-82831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083645-32618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083645-72747.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083645-61046.png)
①
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083646-30726.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083646-91998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083646-40148.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083646-91998.png)
③
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083646-51861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083647-70997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083647-72218.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083647-94147.png)
其中结论正确的有
A.1个 | B.2个 |
C.3个 | D.4个 |
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083638-48270.gif)
小题1:直接写出点M及抛物线顶点P的坐标;
小题2:求这条抛物线的解析式;
小题3:若要搭建一个矩形“支撑架”AD- DC- CB,
使C、D点在抛物线上,A、B点在地面OM上,
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083631-61898.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083632-20961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083631-61898.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083632-78652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083632-13804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083632-89296.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083631-61898.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083632-25491.png)
小题1:填空:(4分)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083633-23451.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083633-79765.png)
小题2:如果公司准备投资20万元同时开发A、B两种新产品,设公司所获得的总利润为
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083633-46183.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083633-46183.png)
小题3:请你设计一个在(2)中能获得最大利润的投资方案,并求出按此方案能获得的最大利润是多少万元?
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083621-15551.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083621-35635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083622-34032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083622-54400.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083622-68233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083622-95805.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083622-81754.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083623-83806.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083623-73511.png)
小题1:写出抛物线的对称轴及
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083622-81754.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083623-83806.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083623-85293.png)
小题2:连接
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083623-91202.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083623-91202.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083624-13352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083624-74189.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083624-13352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083622-81754.png)
小题3:在(2)题的条件下,点
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083624-60182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083624-60182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083624-83417.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083624-60182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083625-66785.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083622-68233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083622-81754.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083623-83806.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019083624-60182.png)
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