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《中小学数学》(初中版)2012年第3期刊登了喻冰初和倪高飞的《关于平行四边形的一个结论及应用》的文章(下称“原文”),文中对在平面直角坐标系中,平行四边形对角顶点的同名坐标之和相等的结论进行了举例及应用,读后很受启发.“原文”归纳的结论具有一定的代表性,解决了一些较复杂的综合性试题。对优等生在思维的拓展以及培养归纳总结的学习习惯方面有一定的帮助。笔者考虑到中考的评分标准,以及考察学生运用现有所学知识进行推理论证能力等因素,就“原文”中的“例1”的第(3)问进行如下的解答:
“Primary and secondary mathematics” (junior high school edition) 2012 third issue of Yu Bingchu and Ni Gaofei “on the conclusion of a parallelogram and its application” article (hereinafter “original ”), in the paper Cartesian coordinate system , Parallelogram diagonal vertices with the same name of the same name and the conclusion of the same example conclusions and applications, very inspired after reading. “Original ” conclusion has some representation, to solve some of the more complex comprehensive test questions. To the top students in the expansion of thinking and training to summarize the learning habits have some help. The author takes into account the score of the senior high school entrance examination, as well as examining students’ ability to make reasoning and argumentation by using the existing knowledge to answer the following questions in the “” “Case 1 ” (3) question: