数学题:一只蚂蚁从墙根竖直向上爬到墙头用了4分钟

  • 时间:2020-04-29 11:52:54
  • 分类:数学世界
  • 阅读:76 次

数学题:一只蚂蚁从墙根竖直向上爬到墙头用了4分钟,从墙头沿原路返回到出发点用了3分钟。若蚂蚁第二分钟比第一分钟多爬1分米,第三分钟比第二分钟多爬1分米,……,整个过程中,每分钟爬过的路程都比前一分钟多1分米,则墙高( )米。(提问者:民风)

数学题解答:此题可用方程来做,等量关系是上与下的总路程是相等的。但不要设墙高,而是设第一分钟爬x米。
上       =   下
x+x+1+x+2+x+3=x+4+x+5+x+6
4x+6=3x+15
x=9

墙高:4x+6=4×9+6=42(米)

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