基本不等式是高中数学中为数不多的处理多变量问题的有力工具.但是在教学实践中,我们发现基本不等式尽管形式简洁优美,但是,其应用需要学生对原始条件和多变量目标函数的外在结构进行适时恒等变形,对学生的思维品质(如灵活性,敏捷性和批判性等等)提出了较高要求.因此,基本不等式应 Basic inequality is a very powerful tool in dealing with multivariable problems in high school mathematics, but in teaching practice, we find that basic inequality, although simple in form and beautiful, needs its students to apply the original condition and multivariable objective function The structure of the timely and equal deformation, the quality of thinking of students (such as flexibility, agility and criticality, etc.) put forward higher requirements. Therefore, the basic inequality should