微专题十八 函数、方程、不等式之间的转化

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纵观近年全国各地高考试题,函数、不等式、方程的综合问题始终是热点也是难点。这类问题区分度较好,有利于高校选拔优秀人才,受到命题者的“青睐”。尽管广大考生对这类问题心生畏惧,但仔细研究不难发现这类试题的难点主要是如何对函数、方程、不等式进行转化和利用。适时的转化能将问题“化繁为简、化陌生为熟悉”。函数是刻画两个变量间关系的模型,将其中一个变量取值即为一个一元方程,将方程或函数中的等号改为不等号即为不等式; Throughout the examination questions, functions, inequalities and equations throughout the country in recent years, the comprehensive problem of the equation is always hot and difficult. This type of problem is better, is conducive to the selection of outstanding talents in colleges and universities, by the proponents “favor ”. Although the vast majority of candidates are fearful of such problems, it is not difficult to find out carefully whether the difficulty of such questions is mainly the transformation and utilization of functions, equations and inequalities. Timely transformation of the problem can be “complicated to Jane, a stranger to familiar”. The function is a model that characterizes the relationship between two variables. Taking one of the variables as a unary equation and substituting the equal sign in the equation or function for the inequality is the inequality.
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