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数形结合方法是中学数学中运用比较广泛的一种思想方法,它的实质是通过对同一数学对象进行代数释义和几何释义的互补,实现形与数的语义转换,将形解释为数,利用数的知识解决形的问题;将数解释为形,利用形的知识解决数的问题。一、什么是数形结合思想方法所谓数形结合方法是将抽象的数学语言与直观的几何图形联系起来,或借助书的精确性来阐明形的某些性质,或借助形的直观性来阐明数量之间的某些关系。其中这里的“数”多指数量关系式,“形”多
The combination of number and shape is a kind of thinking method which is widely used in middle school mathematics. Its essence is to realize the semantic transformation between form and number by algebraic interpretation and complementarity of the same mathematical object, Of knowledge to solve the problem of shape; the number is interpreted as the shape, the use of knowledge-shaped knowledge to solve the problem of number. First, what is the number of ways combined with the idea that the so-called number-shaped combination of abstract mathematical language is linked with the intuitive geometry, or with the accuracy of the book to clarify some of the nature of the shape, or by means of the shape of intuitive to clarify Some relationship between the quantity. Among them “number ” here refers to the number of relations, “shape ” and more