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充分理解和整合题设条件信息,打破原有的思维定势,挖掘题目中所蕴含的几何背景,利用图形表征可以达到巧求最值的目的.鼓励学生借助于几何直观进行思考,巧妙运用几何知识求最值,则会简化解题过程,甚至可以避免繁杂的运算,也会给人带来一种耳目一新、柳暗花明的效果.著名数学家莱布尼茨说过:“解题既要展示解的过程,又要探索解的内部境界.”利用图形表征求最值问题,不仅可以揭示所要研究对象的数学本质,
Fully understand and integrate the information about the conditions of the inscription, break the original thinking, excavate the geometric background contained in the inscription, and use the graphical representation to achieve the purpose of obtaining the most value.It is encouraged that students make use of the geometric intuition to think and make clever use of the geometry Knowledge seeking the most value, it will simplify the problem-solving process, and even avoid complicated operations, but also give a refreshing, elegant effect.Famous Leibniz mathematician said: “ Solution process, but also to explore the solution of the internal realm. ”The use of graphical representation of the most value problem, not only can reveal the mathematical nature of the object to be studied,