这口井有几米深?

  • 时间:2020-04-07 13:55:18
  • 分类:数学世界
  • 阅读:143 次

今天,在女儿的练习册中看到一道题,觉得挺有点难度的。尽管只是一道四年级的数学题,但小孩子想理解并解答出来真的挺不容易,题目是这样的:

同学们用一根绳子测量一口枯井的深度。单着量,绳子到达井底后,井外还有8米;双着量,绳子到达井底后,井外还有1米。这口井有几米深?

看到这道题目后,我也被绕糊涂了,为了能使女儿明白解答的过程,我画了两幅示意图,如下:

井的深度

通过上图,可以基本反映出题中所描述的将绳子单着量和双着量两种情况。我们注意到,两种情况下,绳子的高度都是超过井口的,单着量时要比双着量多超出:8-1=7(米),而这7米其实就是绳长的一半,所以绳长为:7×2=14(米),再根据单着量,绳子超出井口8米,可以算出井深为:14-8=6(米)。这样一共就用了3步算式,其实理解了题意后,解答过程还可以再简洁一点,比如写成下面的两步:

8-1=7(米)

7-1=6(米)

聪明的同学,你能想出这样写算式,每一步求的是什么吗?

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