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纵观近几年全国各地高考试题,以函数与导数、方程与不等式等知识为载体的多元约束条件下不等式证明问题一直处在压轴题的位置,具有相当的区分度,对学生是相当大的挑战.本文分类例说求解这类问题中的一些重要策略,希望能对大家的教学有所借鉴和启发.策略1不等式法不等式是解决数学问题的重要模型,借助函数最值及均值不等式、基本不等式、柯西不等式、排序不等式、琴生不等式构建不等关系是证明不等式问题的重要手段.
Throughout the entrance exam questions throughout the country in recent years, the inequality of multiple constraints with functions and derivatives, equations and inequalities as the carrier proved that the problem has been in the position of the finale, with a considerable degree of discrimination, which is quite large for students Challenge.This article classifies and illustrates some important strategies in solving such problems, hoping to draw lessons from our teaching strategy 1. Inequality Method Inequality is an important model to solve mathematical problems. With the help of the most value of function and mean inequality, Inequality, Cauchy inequality, Sort inequality, and inequality of piano inequality are important means to prove the problem of inequality.