假定全是其中一種動物,則腳數(shù)等于 動物頭數(shù)*該動物每只擁有的腳數(shù),比" />

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歡迎您訪問雞兔同籠評課:雞兔同籠!

雞兔同籠評課:雞兔同籠

更新時間:2021-06-13 00:30:52作者:admin2

判別提供的動物數(shù)據(jù)中,不同動物之間的差異:一只雞兩只腳,一只兔是4只腳,每一只動物腳數(shù)相差2只雞兔同籠評課;

假定全是其中一種動物,則腳數(shù)等于 動物頭數(shù)*該動物每只擁有的腳數(shù),比較與已知的腳數(shù),差別多少,以更換動物種類來調(diào)整:將一只雞換成一只兔,腳總數(shù)將增加2只;將一只兔換成一只雞,腳數(shù)就將減少2只,這樣看差別數(shù)立即可以算出需要調(diào)換的動物數(shù),即答案立即得到;

如100只雞、兔中,腳為204只。假定全是雞,則腳有200只,比較題目,腳還差4只;但將一只雞換成一只兔時,腳將增加2只,現(xiàn)在還缺4只腳,那么只要將 4/2=2只雞換成兔。則腳將增加4只,所以答案就是兔2只,雞100-2=98只。

假定全是兔的解決思路,以及相類似問題,皆可依此思考解決辦法,如三種動物,有兩種有翅,有一種腳數(shù)不同,然后總數(shù)知道,翅膀數(shù)知道,腳數(shù)知道,求解;也是可以通過類似分析,以小學計算知識解決。

設(shè)雞有x只,兔有y只。則雞腳數(shù)為2x,兔腳數(shù)為4y。

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