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“一组对边相等,且一组对角相等的四边形是平行四边形”是一个假命题.怎样构造反例?构造反例的图形需具备哪些条件?《中小学数学》曾有多篇文章加以探讨.其中曾令辉老师《深入探讨平行四边形的反例构造》(2011年第4期)一文,指出了罗权老师《也谈关于平行四边形反例的存在性》(2009年第5期)、朱记松老师《关于平行四边形反例存在的再探究》(2010年第1—2期)两文中给出的条件均有瑕疵,需要改进.他在文中总结:利用平行四边形构造反例,“平行四边
”A group of equal sides, and a set of diagonally equivalent quadrilateral is a parallelogram “ is a fake proposition .How to construct counterexample? Construction of counterexample graphics have what conditions? Primary and secondary mathematics, there have been multiple articles to be In the article, Professor Zeng Linghui ”deeply discusses the counterexample structure of parallelograms“ (No. 4 of 2011), pointing out that Teacher Luo Quan ”also talk about the existence of counter-examples of parallelogram“ (No. 5, 2009) On the existence of the parallelogram researches ”(No. 1-2, 2010) Both the conditions given in both texts are flawed and need to be improved.He summed up in the text: the use of parallelogram to construct counterexamples," parallel to the four sides