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在现实世界中,等量关系和不等量关系是普遍存在的,它们既对立又统一,可以相互转化.在数学解题中,建立不等关系相对比较容易.一些给出已知等式的条件求值、条件等式证明及解方程(组)等有关等式的问题,大部分可以直接求解,但也经常出现一些不便于直接求解的情形.这时,不妨考虑利用不等式进行转化,获得等量关系,使问题得到解决.兹以高考考试题及竞赛试题为例说明之.一、相等问题不等解1.利用不等式的性质
In the real world, equivalence relations and unequal relations are ubiquitous, they are both opposite and unified, and can be transformed into each other. In mathematical problems, it is relatively easy to establish unequal relations. Some of the known equations Condition evaluation, conditional equation proof and solution equation (group) and other related equations, most of the problems can be solved directly, but often inconvenient to solve some of the situation. At this time, may wish to consider the use of inequalities for conversion, obtain Equal relationship, so that the problem is solved .This examination questions and the entrance exam questions as an example. First, the equal problem is not resolved 1. The nature of the use of inequalities