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数学主要关注的就是相互联系的数与形之间的关系,因此数形结合的思想必然贯穿于整个高中数学教学的始终.在新课改的要求下,高中数学教师应当采用学生自主学习探究等教学形式,使得数形结合成为一种深厚的数学意识、科学精神,为学生研究问题和提高解题能力打下广泛而坚实的基础.一、数形结合的内涵简言之,数形结合就是将直观的图形和几何关系与抽象的数学语言、数量关系相互联系和相互渗透,将几何问题代数化解决或相反.它作为数学研究的主线,在实际应用中具有广泛
Mathematics is the main concern is the relationship between the number and shape of the interrelated, so the idea of combining numbers and forms inevitably runs through the entire high school mathematics teaching has always been the requirements of the new curriculum reform, high school mathematics teachers should adopt the study of students’ autonomous learning Teaching forms make the combination of figures form a profound mathematical consciousness and scientific spirit, laying a broad and solid foundation for students to study and improve their ability to solve problems. First, the connotation of the combination of figures In short, Intuitive graphic and geometric relations with the abstract mathematical language, the quantitative relationship between the number of interrelated and interpenetrating geometric problems algebraic solution or vice versa as the main line of mathematical research, in practice has a wide range