数形结合思想在初中数学教学中的应用

来源 :课程教材教学研究(中教研究) | 被引量 : 0次 | 上传用户:ayelili
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数形结合就是通过数与形之间的对应和转化来解决数学问题的思维方式,它包含以形助数和以数解形两个方面。利用它可使复杂问题简单化,抽象问题具体化,它兼有数的严谨与形的直观,是优化解题过程的重要途径之一,是一种基本的数学方法。“数”和“形”是数学中两个最基本的概念,它们既是对立的,又是统一的,每一个几何图形中都蕴含着与它们的形状、大小、位置密切相关的数量关系,反之,数量关系又常常可以通过几何图形做出直观地反映和描述。数形结合 The combination of numbers is the way of thinking of solving mathematical problems through the correspondence and conversion between numbers and forms. It involves two aspects: form aids and numbers. It can be used to simplify complex issues and abstract problems, and it is both a rigorous and intuitive visualization of the number. It is one of the important ways to optimize the problem-solving process and is a basic mathematical method. “Number ” and “Shape ” are the two most basic concepts in mathematics. They are both contradictory and uniform. Each geometric figure contains a closely related to their shape, size and position Quantitative relationship, on the contrary, the relationship between quantity and often can be intuitively reflected and described by geometry. Combination of numbers
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