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《中学数学教学参考》(中旬)2014年第3期刊登了徐成祥老师的文章《数学教师共话一道中考题》(以下简称文[1]),全国各地的教师对同一道中考题(2013宁波中考-18)的解法进行了深入的交流研讨.阅读文[1]之后,笔者既痴迷于这道题的各种解法,又产生了深深的困惑:为什么有的解法列出的方程化简后是一元二次方程,而有的却是一元三次方程?于是笔者进行了深入研究,现将成果整理如下.
“Middle school mathematics teaching reference” (middle) 2014 published in the third issue of the teacher Xu Chengxiang’s article “mathematics teachers talk together a test questions” (hereinafter referred to as text [1]), teachers across the country on the same exam questions (2013 Ningbo exam The solution to the -18) in-depth exchange discussion. After reading [1], the author was obsessed with various solutions to this problem, but also produced deep confusion: why some of the solutions listed after the simplification of the equation Is a quadratic equation of one yuan, and some is a one-dimensional cubic equation? So the author conducted an in-depth study, the results are now collated as follows.