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分类讨论思想、函数与方程思想、数形结合思想、化归与转化思想贯穿于整个中学数学,这些思想对于提高学生数学素养,培养学生理性思维,进而提高解题能力有着重要的作用。一、函数与方程思想函数是用运动变化的观点,分析和研究数学问题中变量之间的数量关系,方程则是分析和研究变量的等量关系,虽然它们是两个不同的概念,但是它们之间有着密切的联系。
Classification and discussion of ideas, functions and equations, ideas combined with ideas, conversion and transformation of ideas throughout the middle school mathematics, these ideas for the improvement of students’ mathematics literacy, to cultivate students’ rational thinking, and then improve the problem-solving ability has an important role. First, the function and equation The idea function is to analyze and study the quantitative relationship between variables in the mathematical problem from the viewpoint of motion change. The equation is to analyze and study the equal relationship of variables. Although they are two different concepts, they are There is a close connection between them.