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平行四边形存在性问题是中考热点之一,通常借助于函数图象探究满足某些条件的平行四边形是否存在.主要考查平行四边形的判定和性质、函数解析式的确定和性质等基础知识,考查识图作图、运算求解、数学表达等能力,考查数形结合、分类讨论、函数与方程等数学思想方法.学生对于这类问题的求解常有畏惧感,怎样才能让学生对这类问题有一个比较明确的思路呢?笔者对此进行了深入的分析,认为只要牢牢抓住平行四边形的性质,特别是“对角线互相平分”这一性质,利用中点坐标公式、构建方程(组)就可以较好地解决这类问题.这样的做法(简称坐标法)对
The existence of parallelogram is one of the hottest points in the test, usually by means of functional images to explore the existence of parallelograms that meet certain conditions, mainly to examine the basic knowledge of the judgment and properties of parallelograms, the determination and nature of analytic functions, Figure drawing, arithmetic solving, mathematical expression and other abilities, examining mathematical combination methods, classification discussion, functions and equations, etc. Students often have fear of solving such problems and how to make students have a More clear ideas? I conducted an in-depth analysis of this, as long as firmly grasp the nature of the parallelogram, especially the “diagonal mutually bisecting” the nature of the use of coordinates of the middle point, the construction of equations Group) can be a better solution to such problems. Such approach (referred to as coordinate method) right