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在数学知识体系中蕴涵着丰富的数学思想,中学数学主要的思想方法有:一、数形结合数学是研究数量关系和空间形式的科学.因而数学研究总是围绕着数与形进行的.“数”就是方程、函数、不等式及表达式,代数中的一切内容;“形”就是图形、图象、曲线等.数形结合的本质是数量关系决定了几何图形的性质,几何图形的性质反映了数量关系.数形结合就是抓住数与形之间的内在联系,以“形”直观地表达数,以“数”精确地研究形.华罗庚曾说:“数缺形时少直观,形少数时难入微;数形结合百般好,隔裂分
Mathematical knowledge system contains a wealth of mathematical ideas, the main ideas and methods of high school mathematics are: First, the number of mathematical combination is the relationship between quantitative and spatial forms of science, mathematical research is always around the number and shape. ”Number “ is the equation, function, inequality and expression, algebra in everything; ”Shape “ is the graphics, images, curves, etc. The nature of the number is the number of relations determines the geometry of the geometry, geometry The nature of the figure reflects the quantitative relationship.Digital shape combination is to seize the inherent relationship between the number and shape, ”shape “ to express the number of ”When the number of lack of shape less intuitive, shaped when a few difficult to micro; shape with everything good, separated by points