几乎每个学生都听老师讲过，据说是德国大数学家高斯少年时代巧算１＋２＋３＋…＋１００的故事．中学教材中证明等差数列前ｎ项和公式，应用的还是同一方法，这种思想方法如此朴素简单易懂，解决问题效率甚高．本文拟举例进一步说明这种思想方法在解决数学问题中的应用．... Almost every student listened to what the teacher said. It is said to be the story of the German mathematician Gaussian juvenile 1 +2+3+...+100. In the middle school textbooks, it is still the same method to prove the first n terms and equations of the arithmetic difference series. This kind of thinking method is simple and easy to understand, and the problem solving efficiency is very high. This article will give examples to further illustrate the application of this method of thinking in solving mathematical problems. ...