基于新课程理念下“构造法”求解不等式问题初探

不等式的问题一直都是中学数学的重要组成部分.尽管证明不等式的方法多种多样,但是由于难度大,技巧强,让很多同学感到困惑.随着课程改革步伐的扩大,向量、概率统计等近代数学知识引入中学课堂,为不等式的证明开辟了更为广阔的空间.本文试图在新课程理念背景下就"构造法"求解不等式问题加以研究,为培养学生创新思维提供例证.构造法在解题时具有非常规性,构造的内容也不断变化,灵活性较强.从研究题目的条件与结论入手,巧妙构造函数、向量、概率、图形等模型进行解题,既能简化证明,又能培养创新思维.

Based on the Concept of Construction Law of New Courses Solving Inequality Problems

Inequality has always been an important issue of mathematics in the secondary school.Despite the variety of ways in solving inequality,but many students feel puzzled because of its great difficulty and high skills.With the expansion of the curriculum reform,modern mathematics is introduced to the secondary school classroom such as vector,probability and statistics,which opens up a wider space for the inequality.This thesis is intended to do research under the context of the new curriculun ideas on the struc...