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SAT数学考试逻辑推理题解析

2023-03-09 17:20     作者 :    

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       例题:
  Family
  Numbers of Consecutive
  Nights
  Jackson
  10
  Callan
  5
  Epstein
  8
  Liu
  6
  Benton
  8
  The table above shows the number of consecutive nights that each of five families stayed at a certain hotel during a 14-night period. If the Liu family’s stay did not overlap with the Benton family’s stay, which of the 14 nights could be a night on which only one of the five families stayed at the hotel?
  A. The 3rd B. The 5th C. The 6th D. The 8th E. The 10th
  解答:此题只要借助线段,便一目了然了。既然原文说“the Liu family’s stay did not overlap with the Benton family’s stay”,而且两家刚好加在一起正好是14晚,那么不妨将这14晚设为一段长14cm的线段,从6cm处分割:
  Liu Benton family family︳______ ____︳_________________︳
  0 6cm 14cm
  ︳________10cm__________︳

  ︳________10cm__________︳
  上题的解答过程就是利用逻辑推理的过程,由于Jackson family是剩余家庭里呆得时间最长的,所以只要从他家看起即可。该题可以简单转化为一段长10cm的线段在14cm范围内左右移动,要么露出最左面的 0~4cm空间(不包括4),要么留出最右面的10~14cm(不包括10)。所以没有被 Jackson family所覆盖的只有这两个区间,也就是说只有一家居住的只能是前三天或后三天,答案为A。
       

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