函数思想是数学思想的重要组成部分,在高中数学中起到横向联系和纽带连结的主干作用。思想是人脑对现实世界的空间形式和数量关系的本质的反映,是思维加工的产物。用变量和函数来思考问题的方法就是函数思想。这是一种考虑运动变化、相依关系,以一种状态确定地刻划另一种状态过渡到研究变化过程的思想方法。函数思想是函数概念、性质等知识更高层次的提炼和概括,是在知识和方法反复学习运用中抽象出的带有观念性的指导方法。函数思想的运用,就是对于一个实际问题或数学问题,构建一个相应的函数,从而更快更好地解决问题。构造函 Function thought is an important part of mathematical thought, which plays a key role in high school mathematics as horizontal connection and link. Thought is the essence of the human brain to the relationship between the spatial form and the quantity in the real world. It is the product of thinking and processing. The way to think of problems with variables and functions is the functional idea. This is a way of thinking that takes into account the changes in movement, the interdependence, and the definite transition from one state to the next, to the study of the process of change. Function idea is the refinement and generalization of function concept, nature and other knowledge at a higher level. It is a conceptual guidance method abstracted from repeated learning and application of knowledge and method. The application of the function idea is to construct a corresponding function for a practical problem or a mathematical problem so as to solve the problem faster and better. Constructor