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数与形是高中数学的主要研究对象,数与形之间并不是孤立的,在某种情况下可以将数转化为形,也可以将形转化为数。因此,数形结合思想长期以来就在高中数学解题中发挥着重要作用,数形之间的相互转化对于提高学生解题能力,培养学生良好的思维习惯有着重要的作用。本文结合具体教学实例,简要阐述数形结合思想在高中数学解题中的应用。1利用数形结合思想解决方程问题方程问题主要包括求方程的根或个数,判断根的
Number and shape are the main objects of study in high school mathematics, and the numbers are not isolated from each other. In some cases, numbers can be converted into shapes and numbers can be transformed into numbers. Therefore, the idea of combining numbers and shapes has played an important role in solving high school math problems for a long time. The mutual transformation between the forms plays an important role in improving students ’ability to solve problems and cultivating students’ good thinking habits. This article, combined with specific teaching examples, briefly discusses the application of the idea of number combining in high school mathematics problem solving. 1 The use of numerical combination of ideological equations to solve equations Problem equations include the root of the equation or number to determine the root