数学是一门创造性的艺术,蕴含着丰富的美,而灵活、巧妙的构造更是令人拍案叫绝,能为数学问题的解决增添色彩.构造需要以足够的知识经验为基础,较强的观察能力、综合运用能力和创造能力为前提,把题设条件中元素间的关系找出来,构想这种关系在某个模型上得以实现,或者构想出某种新形式,能使问题从新的角度去审视,从而使问题巧妙地获得解决,我们称之为“构造性思维”.本文以三角试题为例加以说明.一、构造函数或方程 Mathematics is a creative art, rich in beauty, and flexible and clever construction is even more impressive and can add color to the solution of mathematical problems. Constructions need to be based on sufficient knowledge and experience, and strong observation Ability, comprehensive utilization of capacity and ability to create the premise of the conditions set out in the relationship between the elements to find out, imagine this relationship in a model to be achieved, or conceived of a new form, can make the problem from a new perspective Look at, so that the problem cleverly solved, we call it “constructive thinking.” This article takes the triangle test questions as an example to illustrate.First, the constructor or equation