荷叶覆盖面积正好占池塘面积的四分之一

  • 时间:2020-05-17 12:29:01
  • 分类:数学世界
  • 阅读:147 次

数学题:有一个池塘,池塘里的荷叶覆盖面积每周扩大两倍,照这样计算9周的时候,荷叶将覆盖整个池塘。那么第( )周的时候,荷叶覆盖面积正好占池塘面积的四分之一。

数学题解答:这题用倒推法解决。当第九周荷叶长满池塘的时候,可以用1来表示。那么第八周就是1/2,第七周就是1/4。总之,前一周荷叶的面积总是后一周的一半。从1开始往前推,很快就找到1/4了。

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