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华罗庚说:“数形结合百般好,隔裂分家万事休.数无形时不直观,形无数时难入微.”这里,精确地阐述了数与形的有效融合和相辅相成.根据调查发现,在大多数高中生眼里,数形结合思想理解仅仅局限于一种数与形相互转换解题策略,还停留于对数形结合的表面理解,简单地选择“数”和“形”两种不同形式对问题表征,使问题得到解决.其实,数形结合思想不能肤浅地当作解题策略和方法.
Hua Luogeng said: “Here, the precise integration of numbers and shapes and complement each other.According to the survey found that , In the eyes of most high school students, the combination of number and form and mind understanding is only limited to a number-to-form transformation strategy, but also to the surface understanding of logarithmic combination, simply choosing ”number“ and ” Shape "two different forms of characterization of the problem, so that the problem is resolved.In fact, the number of combination of ideas can not be superficial as a solution to the problem strategies and methods.