Question of the Day: Do you dare to challenge today?
2025/07/16

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最近,我看到一道小学奥林匹克数学题,看似挺曲折的,其实理清思路很简单。问题是说,知道 AxA = 6 和 AxB = 18,问 BxB 是什么。

一开始,当你看到方形的问题时,你可能会有点愣住,但你不需要想得太复杂。我们可以从已知条件逐步工作。我们先看一下 AxA=6 和 AxB=18,当比较这两个公式时,你可以找到一点路。

你看,AxB = 18,AxA = 6,18 除以 6 = 3,这意味着 B 实际上是 3 乘以 A。因为 Ax3 A,它会从 6 变为 18,所以 B = 3A。

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知道了 B 和 A 之间的关系,就很容易数出 BxB。B 是 3A,那么 BxB 是 3Ax3A,也就是 9xAxA。我们已经知道 AxA=6,所以 9x6 不是 54。

其实这道题是对乘法中多重关系的检验,不需要拉出平方根等任何复杂的算法。这就像平时买东西,知道一个的价格,然后数几个的总价,原理是一样的。

所以,遇到这种问题时不要着急,把已知的条件放出来,找出数字之间的关系,答案就会自然而然地出来。你看,不是有你想象的那么难吗?


这个解释是不是让你觉得这个问题清楚多了?如果还有其他类似的话题需要解决,或者你对这种解说方式有什么想法,可以告诉我。

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