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纵观整个高中数学课程,从代数到解析几何,从函数到多元方程,都充满着数形结合思想的运用.数形结合思想已经潜移默化地贯穿在整个高中数学的学习中,并渗透到各个知识点的方方面面.数形结合,利用图形的特征来解决数量的问题,利用图形的直观性代替数量的抽象性,从而打破抽象思维的桎梏,用鲜明的形象替代冗繁的数量关系,化繁为简,化冗为奇,是绽放在数学课堂上充满创意的思维火花.随着解析几何的创立,不仅使过去的几何问题有了一个一般的解法和一个有力的
Looking at the entire high school mathematics curriculum, from algebra to analytic geometry, from functions to multivariate equations, is full of the application of the combination of number and shape. The combination of number and shape has permeated throughout the study of high school mathematics, and penetrated into each knowledge. All aspects of the point, the combination of numbers and shapes, the use of graphic features to solve the problem of quantity, the use of graphical intuition instead of the number of abstractions, thereby breaking the ambiguity of abstract thinking, replacing the tedious quantitative relationship with a vivid image, simplifying It is surprising that it is blooming in the mathematics classroom full of creative thinking sparks. With the creation of analytical geometry, not only a general solution to the past geometric problems and a powerful