基本不等式作为高中数学重要的内容之一,用途广泛.矩形在沿对角线折叠过程中所引出的面积问题可以用基本不等式来求解,此外,设矩形的长宽、引入夹角、巧建坐标系等都是解决此类问题的好方法.文章以必修5的一道习题为研究的出发点,对面积问题展开了不同视角的求解,并将所得结论进行了一般化的推广和变式探究. Basic inequality is widely used as one of the important contents of high school mathematics.When rectangular area is folded along the diagonal, the problem of area can be solved by basic inequality.In addition, the length and width of the rectangle, the included angle, And so on are all good ways to solve such problems.The article takes a compulsory 5 as a starting point for the study, solves the problem of area from different perspectives, and generalizes the conclusions and explore variants.