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不等式的证明,既是中学数学教学的难点,又是近几年高考的命题热点。为此,我们在高三数学复习教学的过程中,对不等式的证明,归纳总结出了等价转化的三种基本方式,即等价变形、等价代换、等价构造。教学实践表明,只要学生掌握了这种等价转化的思想方法,就能较顺利地通过不等式的证明的这一难关。现结合近几年的高考试题,例析如下,供读者参考。
The proof of inequality is not only the difficulty of mathematics teaching in middle school, but also the proposition hot spot of college entrance examination in recent years. For this reason, in the course of reviewing mathematics in the third year of mathematics, we have summarized and summarized the three basic ways of equivalent transformation, namely, equivalent deformation, equivalent substitution, and equivalent structure. Teaching practice shows that as long as the students master this method of equivalence conversion, they can successfully pass through the difficulties of the proof of inequality. Now combine high test questions in recent years, examples are as follows, for the reader’s reference.