数学题:21个同学来取水果

  • 时间:2020-06-07 17:40:52
  • 分类:数学世界
  • 阅读:125 次

数学题:一些苹果和一些梨混装在一个筐里,21个同学来取水果,每人拿一个,水果足够多,那么至少有11个同学拿了同样的水果。为什么?

数学题解答:这是一道关于抽屉原理的数学题。如果希望拿同样水果的同学尽可能地少,那么就应该让这21位同学排着队到筐前,交替地拿苹果和梨(即:一个人拿苹果,下一个人就拿梨,交替进行)。

这样前20位同学中各有10位同学拿了苹果和梨,那么第21位同学,不管是拿苹果还是拿梨,就都有一种水果被11位同学拿到了。

用算式表示就是:

21÷2=10(人)……1(人)

10+1=11(人)

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