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对初中学生来说,“数形结合”就是一种基本的数学思想和数学方法.所谓“数形结合”就是在研究问题时把数和形结合考虑或者把问题的数量关系转化为图形的性质,或者把图形的性质转化为数量关系,从而使复杂问题简单化,抽象问题具体化.我国著名数学家华罗庚就说过“数以形而直观,形以数而入微”.很好地进行“数形结合”可以使学生摆脱繁琐的概念记忆而快乐学习,增强分析和解决问题的能力.现举例如下:
For junior high school students, “combination of numbers and numbers” is a kind of basic mathematical thought and mathematical method. “Number combination” refers to the combination of numbers and forms in the study of the problem or the conversion of the quantitative relationship As the nature of the graph, or the nature of the graph into a quantitative relationship, so that the complexity of the problem simplification, abstraction problems concrete.China famous mathematician Hualanggeng said Well done “shape combination ” can make students happy learning from the complicated concept memory, enhance the ability to analyze and solve the problem, for example as follows: