浅谈中学数学不等式的证明方法

Inequality of Mathematics Methods

不等式的证明是高中数学的一个难点，证明方法多种多样，近几年高考出现形式较为活跃，证明中经常需与函数、数列的知识综合应用，灵活的掌握运用各种方法是学好这部分知识的一个前提．在本文中，总结了一些数学中证明不等式的方法．在高中数学不等式的证明中经常用到的有比较法、综合法、分析法、反证法，判别式法、换元法、放缩法、构造函数法、数学归纳法。通过学习这些证明方法．可以帮助我们解决一些实际问题，培养逻辑推理论证能力和抽象思维的能力以及养成勤于思考、善于思考的良好学习习惯．

Inequality is a difficult high school math to prove many ways, the college entrance examination in recent years appeared more active form, and function of proof is often required, comprehensive application of knowledge of the series, flexible use of various methods is to learn to master this some knowledge of the premise. In this paper, summarizes some mathematics to prove inequality. Inequality in high school mathematics are often usod in comparison, synthesis, analysis, reductio ad absurdum, diseriminant method, substitution method, scaling method, constructor, method, mathematical induction. By learning these proven methods can help us solve some practical problems, develop logical reasoning ability and abstract thinking ability and develop diligent in thinking, good at thinking of good study habits.