1 . 一房产商竞标得一块扇形
地皮,其圆心角![](https://img.xkw.com/dksih/QBM/2016/9/5/1572998386040832/1572998391660544/STEM/0a7d9a4d6c99439894ba8a65b703f6cc.png)
,半径为![](https://img.xkw.com/dksih/QBM/2016/9/5/1572998386040832/1572998391660544/STEM/99a5606ead18496590fb5484a28564e2.png)
,房产商欲在此地皮上修建一栋平面图为矩形的商住楼,为使得地皮的使用率最大,准备了两种设计方案如图,方案一:矩形
的一边
在半径
上,
在圆弧上,
在半径
;方案二:矩形EFGH的顶点在圆弧上,顶点
分别在两条半径上.请你通过计算,为房产商提供决策建议.
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572998386040832/1572998391660544/STEM/e77556594a564071b0b7398a4001ec6e.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572998386040832/1572998391660544/STEM/0a7d9a4d6c99439894ba8a65b703f6cc.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572998386040832/1572998391660544/STEM/8b0716bc33b04ab0a81b87b53a803fbf.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572998386040832/1572998391660544/STEM/99a5606ead18496590fb5484a28564e2.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572998386040832/1572998391660544/STEM/8a9fc415b3b04e5cbb4dfc9560c1f530.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572998386040832/1572998391660544/STEM/dd0adde3d2a648b585aeb4a402aa9bd1.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572998386040832/1572998391660544/STEM/b81fba44e32b473198a4ccc8b6c2f059.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572998386040832/1572998391660544/STEM/c39736b897234b40b649ff791682b6dd.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572998386040832/1572998391660544/STEM/376a07361fbd405c9034b7011feae06d.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572998386040832/1572998391660544/STEM/7456001afe7c47cdb9ae7208e9b82448.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572998386040832/1572998391660544/STEM/e8e1ae22910140c3845e17da0b0e3396.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572998386040832/1572998391660544/STEM/1b89b186030c4467a9245d785147c1d8.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572998386040832/1572998391660544/STEM/55c56cf11afd47039504af65b2428fbf.png)
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11-12高一上·黑龙江牡丹江·期末
2 . 如图,一块半径为
,圆心角为
的扇形木板
,现要用其截出一块面积最大的矩形木板,下面提供了两种截出方案,试比较两种方案截出的最大矩形面积哪个最大?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecdab625e32e38d1c72c901cece0e147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6c71a0da6a878a5b12bf8a8e784645.png)
![](https://img.xkw.com/dksih/QBM/2016/11/28/1573185319272448/1573185325457408/STEM/e2e50cd5dcd847b2938ae2ea3c07455d.png)
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