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1.题目呈现数学是研究现实世界中数量关系和空间形式的科学,简单地说,就是研究数和形的科学.数形结合的基本思想,就是在研究问题的过程中,注意把数与形结合起来考查,斟酌问题的具体情形,把图形性质的问题转化为数量关系的问题,或者把数量关系的问题转化为图形性质的问题,使复杂问题简单化,抽象问题具体化,化难为易,获得简便易行的成功方案.(2012年扬州)如图1,线段AB的长为2,C为AB上一个动点,分别以AC、BC为斜边在AB的同侧作两个等腰直角三角形△ACD和△BCE,那么DE长的最小值是.
1. Topics Rendering mathematics is the science of studying quantitative relationships and spatial forms in the real world. Simply put, it is the science of number and shape. The basic idea of the combination of numbers and shapes is to pay attention to numbers and shapes in the process of studying problems. Combine the examinations, consider the specific circumstances of the problem, turn the problem of graphic nature into a problem of quantitative relationship, or turn the issue of quantitative relationship into a problem of a graphical nature, simplify the complexity of the problem, concretize the abstract problem, and make it difficult to understand. Achieving a successful and simple success scheme. (Yangzhou, 2012) As shown in Fig. 1, the length of line segment AB is 2, C is the last point of AB, and the isosceles are AC and BC respectively. Right triangle △ ACD and △ BCE, then the minimum value of DE is.