勒洛三角形是定宽曲线所能构成的面积最小的图形,它是德国机械学家勒洛首先进行研究的,其画法是:先画一个正三角形,再以正三角形每个顶点为圆心,以边长为半径,在另两个顶点间作一段弧,三段弧围成的曲边三角形就是勒洛三角形,如图所示,若正三角形
的边长为2,则勒洛三角形面积为( )
![](https://img.xkw.com/dksih/QBM/2021/1/14/2635874615140352/2638103588225024/STEM/6cd36d598c614247a820a4a57552cdd8.png?resizew=138)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://img.xkw.com/dksih/QBM/2021/1/14/2635874615140352/2638103588225024/STEM/6cd36d598c614247a820a4a57552cdd8.png?resizew=138)
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更新时间:2021-01-17 15:38:24
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【推荐1】已知扇形的周长为8
,圆心角为2弧度,则该扇形的面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97153bc3d02dfb38ee046487a8037a41.png)
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【推荐2】如图,
,
,
是半径为1的圆周上的点,且
,
,则图中阴影区域的面积为( )
![](https://img.xkw.com/dksih/QBM/2021/5/5/2714555544813568/2716885784985600/STEM/bbc492f8-774e-4b59-a943-576d298f56ab.png?resizew=219)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d11a5a756d8fdd7b294c4f5fd63467b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b39457b53f967d4bc35d3b3342844350.png)
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