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几何直观作为《义务教育数学课程标准(2011年版)》中十大核心概念之一,是数学基础教育中的一个重要内容。化归作为适用性广泛的数学思想方法之一,借助几何直观把代数问题转化为几何问题,在中学数学代数领域发挥着重要作用。从化归的视角来看,最值问题、求和问题、方程问题、不等式问题,都能用几何直观进行解决。
Geometrical intuition is one of the ten core concepts in the “Mathematics Curriculum Standards for Compulsory Education (2011 Edition)” and is an important part of basic mathematics education. As one of the widely applicable mathematics methods of thought, the transformation of algebraic problems into geometric problems through geometric intuitions plays an important role in the field of mathematical algebra in middle schools. From the point of view of transformation, the problems of maximum value, summation, equations, and inequality can all be resolved with geometric intuition.