乐乐和聪聪轮流从中拿1个或2个

  • 时间:2020-05-14 13:11:46
  • 分类:数学世界
  • 阅读:137 次

数学题:箱子里装了16个球,乐乐和聪聪轮流从中拿1个或2个,谁拿到最后一个球谁就获胜,如果聪聪先拿,第一次应该拿几个才能确保获胜?如果箱子里有20个球呢?说说理由。

数学题解答:16个球,聪聪应该先拿1个,可以确保获胜。因为,当他拿一个后,还剩下15个球。此时如果乐乐拿1个,他就拿2个;如果乐乐拿2个,他就拿1个。总之,聪聪拿的与乐乐拿的合起来是3个。而15里面正好5个3,这样便可以确保聪聪拿到最后一个球。

拿的方法就是,聪聪拿过之后,剩下的球的数量是3的倍数,便可以确保聪聪获胜。这样如果是20个球,你一定知道是怎么拿的了吧?

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