数学题:一根圆柱形木头小明的爸爸将它锯成4段
- 时间:2020-06-09 15:19:31
- 分类:数学世界
- 阅读:91 次
数学题:一根圆柱形木头,小明的爸爸将它锯成4段,用1.2小时。如果锯成10段,需要用多少小时完成?(用比例知识解)
数学题解答:这道题的关键是弄清楚,把木头锯成的段数和锯的次数之间的关系,即:木头的段数-1=锯的次数。也就是说:把木头锯成4段,要在木头中间分三个地方锯,即要锯三次。再举个例子,把一根木头从中间锯1次,结果木头变成了2段。也符合“木头的段数-1=锯的次数”的关系式。
所以,锯成10段,需要锯10-1=9(次)
下面根据比例知识列方程解答:设锯成10段,需要锯x小时。锯一次所用的时间一定,用的总时间和锯的次数成正比例。
x:(10-1)=1.2:(4-1)
x:9=1.2:3
3x=10.8
x=3.6
答:需要用3.6小时完成。
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