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yi dao tu xing tian shu ti de jie fa ji tuo zhan
Author(s): 
Pages: 49-49
Year: Issue:  4
Journal: ZHONGXUE SHUXUE ZAZHI(CHUZHONG BAN)

Abstract: 题目把数字1,2,3,…,9分别填入图1的9个圈内,要求△ABC和△DEF的每条边上三个圈内数字之和等于18.
  (1)给出符合要求的填法;
  (2)共有多少种不同填法?证明你的结论.
  分析此题的一般性解法是设九个未知数,列6个方程,解决难度大.另一种常用方法就是采用试一试,运气成分很大.这种类型题的解法一般应考虑最大的数或最小的数的摆放位置,问题便迎刃而解。

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