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很多同学在解题中碰到相对陌生的问题会感到束手无措,不知如何下手,实际上只要我们静下心来,认真理解题意,你就会发现很多感到棘手和陌生的问题都可以通过适当的方法转化成熟悉的易解的问题以下举几例说明.例1已知x,y为正数,则x/(2x+y)+y/(x+2y)的最大值为__.分析给出的分式比较复杂,通过换元简化了分母,问题可转化为常规的基本不等式求最值问题.
Many of our students will feel helpless when they encounter relatively strange problems in problem solving. I do not know how to get started. In fact, as long as we stop and carefully understand problems, you will find that many difficult and unfamiliar problems can be solved properly Of the method into a familiar solution to the problem of a few examples to illustrate.Example 1 known x, y is a positive number, then x / (2x + y) + y / (x +2 y) the maximum value of __. The analysis gives a more complicated formula, which simplifies the denominator through the substitution of variables, and the problem can be transformed into the problem of finding the most basic value inequality.