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[几何] 最值

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lrh2006 Posted 2020-6-26 18:25 |Read mode
如图,在北京召开的第24届国际数学家大会的会标是根据我国汉代数学家赵爽在注解《周髀算经》时给出的赵爽弦图设计的,它是由四个全等的直角三角形与中间的小正方形EFGH拼成的一个大正方形ABCD,若正方形ABCD的面积为2,则线段AG的最大值为() (2).png

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色k Posted 2020-6-26 19:21
又到了极短标题时间……

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色k Posted 2020-6-26 22:01
不过我怎么觉得题目有问题,确定没抄错?

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 Author| lrh2006 Posted 2020-6-28 10:23
对过了,没错,不知道怎么下手。。。
话说我不知道怎么写标题咩。。。

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realnumber Posted 2020-7-1 13:31
G在以BC为直径的半圆上运动,G移动越接近C,则AG越大,
BC中点M为此圆圆心,AGM共线时,AG最小,也同3楼一样怀疑是求最小值.

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 Author| lrh2006 Posted 2020-7-3 15:24
回复 5# realnumber

有道理,题目给的答案是1/2(根号2+根号10)

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