解题方法
1 . 现有一块大型的广告宣传版面,其形状如图所示的直角梯形
.某厂家因产品宣传的需要,拟出资规划出一块区域(图中阴影部分)为产品做广告,形状为直角梯形
(点
在曲线段
上,点
在线段
上).已知
,
,其中曲线段
是以
为顶点,
为对称轴的抛物线的一部分.
![](https://img.xkw.com/dksih/QBM/2017/11/17/1819423769255936/1820043381997568/STEM/f2dc24cb7af14e50bff5c16ddd6c719a.png?resizew=140)
(1)求由线段
、
以及曲线段
所围成区域的面积;
(2)求厂家广告区域
的最大面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2257da1e2425f2ea9ac7440f52659ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcca25052dcb5bb21dabf0a3bfafc123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/158ae5e2fef3f849ed0a46d54b39d053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/2017/11/17/1819423769255936/1820043381997568/STEM/f2dc24cb7af14e50bff5c16ddd6c719a.png?resizew=140)
(1)求由线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
(2)求厂家广告区域
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2257da1e2425f2ea9ac7440f52659ff.png)
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