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华罗庚说:“数缺形时少直观,形少数时难入微;数形结合百般好,隔离分家万事休.”数学中数和形是两个最主要的研究对象,它们之间有着十分密切的联系,在一定条件下,数和形之间可以相互转化,相互渗透.“数形结合”思想是中学数学中极为重要的思想方法之一.所谓数形结合,就是根据数学问题的条件和结论之间的内在联系分析其代数含义,又揭示其几何直观,使数量关系与空间形式和谐地结合起来.数形结合思想,就是将抽象的数学语言与直观的图形结合起来,使抽象思维与形象思维结合,通过对图形的认
Hua Luogeng said: “The number of missing shape is less intuitive, the shape of a few difficult to micro; shape with all sorts of good, isolated break everything off. ” Mathematical number and shape are the two main research objects, between them Very close contact, under certain conditions, the number and shape can be transformed into each other, mutual penetration. “Number of forms combined with ” thought is one of the most important ideas and methods in high school mathematics, the so-called number-shape combination, is based on mathematics The condition of the problem and the conclusion of the relationship between the analysis of its algebraic meaning, but also reveals its geometric intuition, the quantitative relationship with the spatial form of a harmonious combination of digital combination of ideas, that is, the abstract mathematical language and visual graphics combined, The abstract thinking and the image of thinking, through the recognition of graphics