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《2006年全国高中数学联合竞赛试题参考答案》对加试第三题给出的标准答案的代换让人眼花缭乱,不易想到.笔者在给初三学生进行竞赛辅导时,引导学生得出了一个思路相对自然,解法相对常规的别解,现叙述如下,供读者参考.题目解方程组x-y+z-w=2①x2-y2+z2-w2=6②x3-y3+z3-w3=20③x4
The “2006 National High School Mathematics Contests Question Answers for Reference” answers to the standard answers given in the third exam of the Addition Project are dazzling and hard to come by. The author guides students to a The idea is relatively natural, and the solution is relatively conventional. Now it is described as follows for the reader’s reference. Title Solution Equations x-y+zw=21x2-y2+z2-w2=62x3-y3+z3-w3=203x4