数学题 :一个物体从高空落下

  • 时间:2020-04-19 17:21:44
  • 分类:数学世界
  • 阅读:103 次

数学题 :一个物体从高空落下,经过4秒落地。已知第1秒下落的距离是4.9M,以后每一秒下落的距离都比前一秒多9.8M。这个物体在下落前距地面多少米?(人教版四年级下册P81第8题)

解答:关键句子:以后每一秒下落的距离都比前一秒多9.8M

分析每秒的情况:

第1秒:4.9M

第2秒:4.9+9.8=14.7(M)

第3秒:4.9+9.8+9.8=24.5(M)

第4秒:4.9+9.8+9.8+9.8+9.8=34.3(M)

物体下落前距离地面:4.9+14.7+24.5+34.3=78.4(M)

观察落地过程4秒钟的情况:发现加数仅有4.9和9.8两种数,其中4.9有4个,9.8有6个。所以有简便算法:4.9×4+9.8×6=19.6+58.8=78.4(M)

注:此时学生尚未学习小数乘法,但小数乘整数比较简单,可能学有余力的同学会想到这种方法并做出来。

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