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数与形是数学的基本研究对象,形的特点是直观,数的特点是完整严密.它们之间存在着对立统一的辩证关系.在解决代数问题时,直观的图像可以帮助我们更方便地思考.通过数字与图形的有机结合,揭示出隐含其中的几何背景,启发思维,找到解决问题的途径;反之,在研究几何问题时,要注意从代数角度出发,通过数量关系的研究解决问题.学生在初中已经初步接触了代数和几何,而高中是数学思想方法逐步形成的关键时期.在这个阶段,领会了数学基本
Number and form are the basic research objects of mathematics. The shape is characterized by intuition and the number is characterized by completeness and rigor. There exists a dialectical relationship of opposites unity between them. Intuitive images can help us think more easily when solving algebraic problems Through the organic combination of figures and figures, it reveals the hidden geometric background, inspires thinking, and finds a solution to the problem; on the contrary, when studying the geometric problems, we should pay attention to solve the problem from the perspective of algebra and quantitative relations. Students have been initially exposed to algebra and geometry in junior high school, and high school is a critical period of the gradual formation of mathematical thinking method .In this stage, understand the basic mathematics