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近几年来的高考数学试题越来越多地揉和了利用数和形的结合来解决问题的思想.一些较复杂的数量关系如果借助于图形性质,可以避免冗繁的代数运算,使一些抽象问题具体化、复杂问题简单化,不失为一种重要的数学方法,下面从几个方面进行简述:1 在解有关含参数的方程时,借助于函数图像可简化讨论,使抽象问题具体化 例1 若方程lg(2-x2)/lg(x-a)=2有实数解,
In recent years, the college entrance examination mathematics test more and more rubbed the idea of using the combination of number and shape to solve the problem. Some of the more complex quantitative relations can avoid tedious algebraic operations and make some abstract problems if they rely on the nature of graphics. The simplification of the concrete and complex problems is an important mathematical method. The following is a brief description of several aspects: 1 When solving the equations involving parameters, simplify the discussion with the help of the function image and make the abstract problem concrete. If the equation lg(2-x2)/lg(xa)=2 has a real solution,