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函数与方程是数学中两个重要的概念,它们贯穿于整个高中教学之中.对函数与方程的复习,除了研究函数的零点、方程的根之外,还需要注意函数与方程思想在其他知识中的应用.函数思想,是指用函数的概念和性质去分析问题、转化问题和解决问题.方程思想,是指从问题的数量关系入手,运用数学语言将问题中的条件转化为数学模型(方程、不等式或方程与不等式的混合组),然后通过解方程(组)或不等式(组)来使问题获解.此外,很多时候我们还需要实现函数与方程的互相转化、接轨,达到解决问题的目的.
Functions and equations are two important concepts in mathematics, which run through the entire high school teaching. Review of functions and equations, in addition to study the zero point of the function, the root of the equation, but also pay attention to the function and the idea of equations in other knowledge The concept of function refers to the use of the concept and nature of the function to analyze, transform and solve problems.Equation of the equation refers to the relationship between the number of problems, the use of mathematical language to the conditions of the problem into a mathematical model ( Equations, inequalities, or mixed groups of equations and inequalities), and then solve the problem by solving equations (groups) or inequalities (groups). In addition, many times we also need to convert and integrate functions and equations to solve problems the goal of.