本文用到以下三个性质: (1)(a士b)2)0; (2)若aZ+bZ一0,则a二b一0; (3)若(a士b)“簇0,则a土b一0. 借助这三个性质我们可以巧妙地解决某些数学竞赛题.但某些赛题本身并没有给出完全平方式的形式,需要我们去构造.有鉴于此,本文特向同学们介绍四种构造方法供解题时参考. 1.配方构造 This article uses the following three properties: (1) (a-sb)2)0; (2) if aZ+bZ-zero, then a-b-zero; (3) if (a-sb) "cluster 0, Then we can use the three properties to solve some math contest problems. However, some of the titles themselves do not give a completely flat form. We need to construct. In view of this, this article Introduce the four construction methods to the students for reference.