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代数不等式的证明是中学代数的重要内容。中学生在学习中接触等量关系较多,对不等量关系接触很少,因此,对不等式的证明往往感到十分困难。为使同学们能较好地掌握这部分内容,需要通过对一些典型范例的分析研究,理清不等式证明的各种方法。对一些重要结论应要求准确记忆,并注意纠正错误证法,分析产生错误的原因,以加深理解,正确运用。一、理清不等式的证明方法。 1.比较法:证明不等式的基本方法,适应面宽,但有时较繁。
The proof of algebraic inequality is an important part of high school algebra. Middle school students have more contacts in the same amount of learning, and have less contact with unequal relations. Therefore, it is often difficult to prove the inequality. In order to make the students master this part well, it is necessary to sort out the inequality proof methods by analyzing some typical examples. Some important conclusions should require accurate memory, and pay attention to correct the wrong card law, analyze the reasons for the error in order to deepen understanding and correct use. First, clarify the inequality of proof methods. 1. Comparative Law: Prove the basic method of inequality, to adapt to a wide range, but sometimes more complicated.