拿破仑·波拿巴(法语名:Napoléon Bonaparte,1769年8月15日—1821年5月5日),法国伟大的军事家、政治家,法兰西第一帝国的缔造者.拿破仑一生钟爱数学,他发现并证明了著名的拿破仑定理:“以任意三角形的三条边为边向外构造三个等边三角形,则这三个三角形的中心恰为另一个等边三角形的顶点”.如图,在
中,
,以
,
,
为边向外作三个等边三角形,其中心依次为
,
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e9dcac4621e6e5fbddc9d69cf1a9916.png)
______ ,
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57fdd2a3642716fcf5100011eb3ec88.png)
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2022·河北·模拟预测 查看更多[2]
更新时间:2022-03-13 20:08:08
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【推荐2】拿破仑·波拿巴,十九世纪法国伟大的军事家、政治家,对数学很有兴趣,他发现并证明了著名的拿破仑定理:“以任意三角形的三条边为边向外构造三个等边三角形,则这三个三角形的中心恰为另一个等边三角形的顶点”.如图,在
中,
,以
,
,
为边向外作三个等边三角形,其中心依次为
,
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e9dcac4621e6e5fbddc9d69cf1a9916.png)
__________ ,
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7502eee6f33e8c940dec63ab6473c52.png)
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