对于不等式的证明,学生往往感到困难,主要是因为它没有固定的程序可循,技巧多样,方法灵活,推证过程中牵涉的概念又多,所以学生难于掌握。因此,在讲完了证明不等式的基本方法:比较法、分析法、综合法、反证法等后,指导学生总结出一些证明不等式的常用技巧是十分必要的。下面列举几例,供参考。一、适当放宽不等式 For the proof of inequality, students often feel difficult, mainly because it does not have a fixed procedure to follow, has a variety of techniques, is flexible, and has many concepts involved in the process of inference, so students have difficulty in mastering it. Therefore, it is very necessary to guide students to summarize some common techniques for inequality after completing the basic methods of proving inequality: comparison, analysis, synthesis, and anti-evidence. Here are some examples for reference. First, properly relax inequalities