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“函数思想”是指运用运动和变化的观点、集合与对应的思想,去分析和研究现实问题或数学问题中的数量关系,建立函数关系,再利用函数的相应性质(定义域、值域、最值、奇偶性、单调性、周期性等)去分析问题、转化问题,从而使问题获得解决.“方程思想”是指分析数学问题中变量间的等量关系,从而建立方程或方程组,通过解方程或方程组,或者运用方程的性质去分析问题、转化问题,从而使问题获得解决,它是解决各类计算问题的基本
“Functional thinking” refers to the use of ideas, sets, and corresponding ideas of movement and change to analyze and study quantitative relationships in realistic problems or mathematical problems, establish functional relationships, and re-use the corresponding properties of functions (domains, values, Domain, maximum value, parity, monotonicity, periodicity, etc.) to analyze the problem and transform the problem so that the problem can be solved. “Equation of thoughts” refers to the analysis of the equal relationship between variables in a mathematical problem and the establishment of equations. Or equations, solving problems or transforming problems by solving equations or equations, or using the nature of equations to solve problems, it is the basic solution to all kinds of computing problems.