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数形结合是研究客观世界的空间形式和数量关系的科学,数是形的抽象概括,形是数的直观表现.华罗庚教授曾经指出:“数缺形时少直觉,形缺数时难入微.数形结合百般好,隔离分家万事非.”数形结合的思想就是充分运用数的严谨和形的直观,将抽象的数学语言与直观的图形语言结合起来,通过图形的描述,代数的论证来研究和解决数学问题的一种数学思想方法.图形的直观性,能使我们快速找到解题思路,给解题带来方便,但如果图形不完整或不正确,往往会使我们的解题误入歧途.观察图
The combination of number and shape is a science that studies the relationship between the spatial form and quantity of the objective world, and the number is the abstract abstract of form and the shape is the visual representation of number.Hua Luogeng once pointed out: “ Combination of digital form is good and everything is separated. ”The idea of combining numbers and forms is to make full use of the rigor and intuition of numbers, to combine abstract mathematical language with intuitive graphical language, and through graphic description, algebra Of the argument to study and solve mathematical problems of a mathematical way of thinking.The intuitive graphics can enable us to quickly find solutions to problems, to bring convenience to solving problems, but if the graphics are not complete or incorrect, often make our Problem-solving goes astray