论文部分内容阅读
“数形结合”的思想方法就是在解决数学问题时,将反映问题的抽象的数形关系与直观的空间图形结合起来解决问题的一种重要的数学解题方法,实质上就是根据数学问题的条件和结论之间的内在关系,把代数上的“数”与几何上的“形”和谐地结合起来去认识问题以至于解决问题的一种思想.数形结合的思想方法可具体分为两种应用方式:(1)借助图形的生动形象阐述数字之间的关系及变化趋势、变化范围,从而给人们提供特点鲜明、变化直观、变量特性
The idea of “combination of numbers and shapes” is an important mathematical solution to the problem of solving mathematical problems by combining the abstract number-form relations that reflect the problems with the intuitive spatial patterns. In essence, it is based on mathematics The condition of the problem and the conclusion of the internal relations between the algebra on the “number” and the geometric “shape ” harmoniously to recognize the problem so that a problem-solving idea. Methods can be specifically divided into two types of application: (1) With the vivid image of the figure elaborates the relationship between numbers and the changing trend and the range of change, thus providing people with distinctive, intuitive and variable features