论文部分内容阅读
达尔文曾说过:“最有价值的知识,就是关于方法的知识”.数形结合思想是数学研究和学习的一种重要思想方法:把“数”的抽象、严谨与“形”的形象、直观有机地结合起来,或者把数量关系转化为图形性质加以研究,或者将图形性质用数量关系来刻画,“数”借“形”现、“形”随“数”动,达到把复杂问题简单化、抽象问题形象化的效果.对于初中数学来说,函数及其图象的性质可以说是训练和形成学生数形结合思想的一个最重要而又有效的载体.
Darwin once said: “The most valuable knowledge is the knowledge about methods.” The idea of combining numbers and forms is an important way of thinking in mathematics research and study: abstracting and rigor of “number Shape ”image, intuitively and organically combined, or the quantitative relationship into the nature of the graph to be studied, or the nature of the relationship between the number of graphics to characterize the“ number ”by With the “number ” move, to achieve the complexity of the problem of simplification, visualization of abstract problems for junior high school mathematics, the nature of the function and its image can be said that training and formation of the number of students a combination of ideological Important and effective carrier.