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不等式法是介于定性与定量之间的一种半定量思维方法,它用于收集处理、交流信息和数据,计算物理量的极值以及确定物理量的取值范围,有着其他数学方法无法比拟的特殊功效。本文拟从点评中考题和梳理教材两大系列中的若干场景出发,力图从宏观上加以阐明。应用不等式的思维方法能使抽象为主的数学工具和以形象思维为主的物理实体有机结合,使以数学抽象有实感的同时给物理思维有一个质的飞跃;退一步而言,运用不等式的思维方法至少可以另辟蹊径,简化演绎程序,使信息传递达到言简意赅,事半功倍,一目了然的效果。
Inequality method is a semi-quantitative thinking method between qualitative and quantitative. It is used to collect and process information, exchange information and data, calculate the extremum of physical quantity, and determine the range of physical quantity. It has special characteristics that are unmatched by other mathematical methods effect. This article intends to proceed from the review of the exams and textbooks in two series of several scenes, trying to clarify from the macro. Applying the inequality way of thinking can combine the abstraction-based mathematics tools with the physical entities which are mainly based on the thinking of the images so that they can give a qualitative leap to the physical thinking while having a realistic mathematical abstraction. To take a step back, using the inequality Thinking at least another way to simplify the deductive process, so that information delivery concise, with less, the effect at a glance.