摘要
对象转化策略是解决数学问题的重要策略,其蕴含的转化思想更是数学思想的灵魂。本文通过具体问题论述对象转化策略中边角转化、三角函数转化、语言转化、数形结合、构造法和几何问题代数化在高中数学解题中的应用,体现其简单化、直观化、熟悉化及和谐化的特点,充分发挥等价转化策略在解题过程中的优势和作用,以提高学生的解题能力。
Object transformation strategy is an important strategy for solving mathematical problems, and the transformation idea contained in it is the soul of mathematical thinking. This article discusses the application of edge and angle transformation, trigonometric function transformation, language transformation, number-shape combination, construction method and algebraization of geometric problems in high school mathematics problem solving through specific problems in the object transformation strategy, reflecting its simplification, intuitiveness and familiarity. And the characteristics of harmony, give full play to the advantages and role of equivalent transformation strategies in the problem-solving process, so as to improve students’ problem-solving abilities.
出处
《理论数学》
2023年第12期3463-3469,共7页
Pure Mathematics
