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数形结合思想在高中数学教学中的应用探究
The Application of the Thought of Combination of Numbers and Shapes in High School Mathematics Teaching

DOI: 10.12677/AE.2023.137705, PP. 4485-4489

Keywords: 数形结合,高中数学,应用探究
Combining Numbers and Shapes
, High School Mathematics, Applied Inquiry

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Abstract:

数形结合思想是解决数学问题的一种重要思想方法,它贯穿于整个高中数学的知识体系当中,是学生进一步学习、研究和探索数学的有力武器。学生在高中数学的学习中,往往会出现一些逻辑思维问题,这就要求学生从不同的角度去思考与解决。而高中数学知识又存在着一定程度的抽象性特征,因此应用数形结合思想将本来抽象、繁杂的知识,用更加形象、生动的方式展现在学生面前尤为重要。在本文中,主要从数形结合思想的应用作用、策略与要点三个方面进行了叙述。
The idea of combining numbers and shapes is an important way of thinking in solving mathematical problems. It is used throughout the knowledge system of senior secondary mathematics and is a powerful weapon for students to further learn, study and explore mathematics. In learning mathematics in senior secondary school, students often have some logical thinking problems which require them to think and solve from different perspectives. Since mathematical knowledge in senior secondary schools is characterized by a certain degree of abstraction, it is particularly important to apply the idea of combining numbers and shapes to present otherwise abstract and complicated knowledge to students in a more visual and vivid way. In this article, we focus on three aspects of the application of the idea of combining numbers and shapes: its role, strategies and key points.

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