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在数学竞赛中,常有许多有趣的逻辑推理题。这类题逻辑严谨、技巧性强,解的过程烦琐,学生往往无从下手。若采用表格法,则过程简明、直观,起到事半功倍的效果,其理论依据是逻辑学的四条基本规律,笔者叙述之: 一、明显条件当所给条件明显表明结论时,可按叙述的顺次、内容、结论三项,恰当选择表格符号(分别以横、纵、正表列出),问题不难解决。例1.冠军该是谁? 一场自行车比赛刚进入决赛时,有五名运动员参加角逐,据预赛成绩估计,这次比赛的名次有下述五
In math competitions, there are often many interesting logical reasoning questions. These kinds of questions are rigorous in logic, skillful, and cumbersome to solve. Students are often unable to start. If the tabular method is adopted, the process is concise and intuitional. It has a multiplier effect. Its theoretical basis is the four basic laws of logic. The author narrates: 1. Obvious conditions When the conditions given clearly indicate the conclusions, , content, and conclusions. Appropriate selection of tabular symbols (listed horizontally, vertically, and positively) is not a difficult problem to solve. Example 1. Who is the champion? When a bicycle race just entered the finals, there were five athletes participating in the competition. According to the results of the preliminaries, the ranking of the competition is as follows: