浅谈数形结合思想方法在高中函数中的应用 摘 要：数学是研究数量关系与空间结构的科学，也可说是“数”与“形”的科学[1]。灵活运用“数形”之间的转换来解题的思想方法，即是数形结合思想方法了。作为高中数学重要的思想方法之一，它将图形的直观性与数据的精确性相互渗透，将抽象思维与形象思维进行有机结合。函数是众多学生厌弃数学的症结，而数形结合思想方法则是学生的“良药”，是解决高中函数学习的重要工具。本文从解题手段、培养学生的学习的兴趣、培养学生的数学思维能力这三方面介绍了数形结合思想方法的意义，总结了数形结合思想在高中函数例题中的应用，并反思了数形结合思想在应用时值得注意的一些问题、需要遵循的原则以及其局限性。关键词：数形结合；思想方法；高中函数；例题IA Brief Talk on the Practice of Numeral-form Combination Method of Thinking in High School FunctionAbstract ： Mathematics is the science of quantitative relationship and space form, or in other words science of “number” and “shape”. The method of thinking is the numeral-form combination method of thinking which is switching “number” and “shape” neatly to deal with problems. As the one of the important methods of thinking in high school mathematics, it makes the clearness of drawing and the accuracy of number infiltrate reciprocally, and organically combines the abstract thinking and the imaginable thinking. Function is the crux, which so many students hate mathematics, but the numeral-form combination method of thinking is their good medicine and the important tool to deal with the study problem of high school function. In this paper, I introduced the significance from three aspects: a way of solving problem, developing students’ interest in learning and training the ability of mathematical method to students. And I summed up the practice of numeral-form combination method of thinking in high school function examples. Besides, I also reflected...
