称螺丝的数学题
- 时间:2020-04-24 15:44:06
- 分类:数学世界
- 阅读:151 次
称螺丝的数学题:有9个螺丝,其中8个质量相同,另1个质量略轻一些。用天平称,至少称多少次才能保证找出这个比较轻的螺丝。
解答过程:
至少要称2次可以称出来。
第一次称:
把把9个平均分成3份,每份3个。
两个托盘中各放3个螺丝,哪头轻,说明轻的那个螺丝就在哪边;如果天平是平衡的,说明轻的螺丝在剩下的3个之中。
第二次称:
再把那个3个螺丝平均分成3份,每份一个。
两个托盘,左右各放一个,哪头轻,说明那个螺丝就是轻的。如果平衡,说明最后剩下的那个螺丝是轻的。
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