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解题方法
1 . 淮南市位于安徽省中北部,地处长江三角洲腹地,淮河之滨,素有“中州咽喉,江南屏障”、“五彩淮南”之称,是沿淮城市群的重要节点,如图所示,淮南市准备在淮河的一侧修建一条直路
,另一侧修建一条观光大道,它的前一段
是以
为顶点,
轴为对称轴,开口向右的抛物线的一部分,后一段
是函数
,
时的图像,
有
,且最高点
与点
的距离为
,
,垂足为
.
![](https://img.xkw.com/dksih/QBM/2021/12/20/2876698387537920/2912618846035968/STEM/ef0115dfe47b44308fb967dc3b6a9ab1.png?resizew=174)
(1)求函数
的解析式;
(2)若在淮河上修建如图所示的矩形水上乐园
,问点
落在曲线
上何处时,水上乐园的面积最大?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780d3f5f4c4419913c1232b7aae03ade.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/703b4493b66a538140dd12bb3b268a7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f1279d1afe86edd9a61fde66cbec01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51314fbe637ad05239ac1ed0496bf084.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c280739af483bb27bed59fb94599ea8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7940a22f4334bda1a0001194bb00b802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db9f780e1abca62e18d749aaa6f9056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2021/12/20/2876698387537920/2912618846035968/STEM/ef0115dfe47b44308fb967dc3b6a9ab1.png?resizew=174)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5560425727c95ea2e57e657fad919d5f.png)
(2)若在淮河上修建如图所示的矩形水上乐园
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a76ef2d5d707404e15242a5388f49a32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
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