数学思想和方法是数学的精髓,是数学知识在更高层次上的抽象和概括。只有运用数学思想方法,才能把数学知识与技能转化为分析问题、解决问题的能力。数学思想包括:函数与方程思想,分类讨论思想,数形结合思想,转化与化归思想,对立与统一思想。 Mathematical ideas and methods are the essence of mathematics, and they are the abstraction and generalization of mathematics knowledge at a higher level. Only by using mathematical thinking methods can we translate mathematical knowledge and skills into the ability to analyze and solve problems. Mathematical ideas include: function and equation thinking, classification and discussion ideas, combined ideas of number and shape, transformation and transformation of ideas, opposition and unity of thinking.