代数是研究数量关系的学科,但有时碰到数量关系较复杂,用代数法证明代数题困难较大时,则可考虑设计、构思与题设有联系的几何图形,利用数形结合的方法,不但可使证明过程十分简洁,而且对学生创造思维能力和开拓精神的培养,是又一良好的途径,现举例说明: Algebra is a discipline for the study of quantity relations, but sometimes it encounters a more complex quantitative relationship. When algebraic methods are used to prove that algebraic problems are more difficult, geometrical figures linked to design, ideas, and questions can be considered, and a combination of number and shape can be used. Not only can the proof process be very concise, but it is also a good way for students to cultivate their thinking and pioneering spirit. Here are some examples: