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在高中数学教学中,不等式是重要的知识点,但不等式形式比较多样,没有固定的证明程序,证明方法与技巧也是灵活多样的,因此不等式的证明也是学生学习的难点,学生需要具备较高的数学式变形能力、较强的逻辑思维能力以及解决问题的综合能力。其中,放缩法是不等式证明的有效方法之一,它能与诸多知识融会,体现出了运用者的创造性与应变能力,因此,笔者结合如下具体实例,谈谈放缩法
Inequality is an important knowledge point in high school mathematics teaching. However, there are many inequalities, no fixed proof procedure and many flexible methods and techniques. Therefore, inequality proof is also a difficult point for students to study. Students need to have higher Mathematical deformability, a strong ability to think logically and solve the problem of comprehensive ability. Among them, scaling method is one of the effective methods to prove inequalities. It can integrate with a lot of knowledge and reflects the creativity and adaptability of the users. Therefore, the author combines the following specific examples to talk about the scaling method