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函数与方程思想,既是函数思想与方程思想的体现,也是两种思想综合运用的体现,是研究变量与函数、相等与不等过程中的基本数学思想. 方法点拨函数与方程思想在解题中的应用:一是借助初等函数的性质,解决有关求值、解(证不等式、解方程以及讨论参数的取值范围等问题;二是在问题的研究中,通过建立函数关系式或构造中间函数,把所研究的问题转化为讨论函数的有关性质,达到化难为易,化繁为简的目的.在近几年的高考中,函数思想主要用于求值、解方程、求范围、证不等式;方程思想
The idea of function and equation is not only the embodiment of function thought and equation thought but also the embodiment of the comprehensive utilization of two kinds of thoughts and is the basic mathematical thought in the process of equal and unequal process of variables and functions.Methods The theory of dialect function and equation : First, by virtue of the nature of elementary functions, we can solve the problems related to evaluation, solution (card inequality, solution equation and the range of parameters discussed; secondly, in the research of the problem, through the establishment of functional relations or the construction of intermediate functions , The study of the problem into the discussion of the nature of the function, to achieve the purpose of the difficult for the easy, simplification and simplification in recent years, college entrance examination, the function of thought is mainly used for evaluation, solving equations, seeking scope, card inequality Equation ideas