如下图所示,某农场有一块扇形农田,其半径为100m,圆心角为
,现要按图中方法在农田中围出一个面积最大的内接矩形用于种植,则围出的矩形农田的面积为___________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c901bcdfa58f0c68ad0161b0bab269.png)
![](https://img.xkw.com/dksih/QBM/2020/11/21/2597903238488064/2604161108541440/STEM/327cf247ebca40ba815b744774da5998.png?resizew=129)
更新时间:2020-11-30 16:42:14
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解题方法
【推荐1】如图,在扇形
中,
,
,点
为弧
上任意一点,
为
上一点,且
,
,则
的取值范围是__________ .
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【推荐2】已知
是半径为
,圆心角为
扇形,
是扇形弧上的动点,
是扇形的接矩形,则
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6c71a0da6a878a5b12bf8a8e784645.png)
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解题方法
【推荐1】将函数
的图象向左平移
个单位长度,得到函数
的图象.若函数
的最大值为2,则
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【推荐2】在
中,若
且
为钝角,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/129973c1205143c9a964541f394d5967.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐1】在
中,
,
,则
面积的最大值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐2】已知
中,角
所对的边分别为
,若
,其中
,则角![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
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