数学游戏24点可行性最小值证明及通用算法

Feasibility Minimum Value Certification and Universal Algorithm of of Math Game 24 Points

对数学游戏24点的可行性最小值证明及通用算法进行研究。将传统可选4个数字的24点游戏推广为可选9个数字,证明了在点数为1~10的一堆牌中,任取多于9张牌均可通过加减乘除(可加括号)得到24,说明9是满足此条件的最小数,同时提出了超过9个数算24的通用算法,有助于提高学生的专注力和心算能力。

The paper researches feasibility minimum value certification and universal algorithm of of math game 24 points.The paper promotes the traditional 24 points game,in which we can choose 4 numbers,into 9 numbers.This certifies that we can get 24 through adding,substracting,multiplying and dividing(including brackets)when we get more than 9 boards.This indicates that 9 is the minimum number,which can satisfy the condition.The paper proposes the universal algorithm more than 9 numbers in calculating 24.This is beneficial to improve students concentration and mental arithmetic ability.