人教版初中数学八年级下册中,应用我国古代数学家赵爽构造的“弦图”(如图1)证明了勾股定理,数形结合,招法俊巧,过程简捷,深受师生的欢迎.正如课本所说:“赵爽弦图表现了我国古人对数学的钻研精神和聪明才智.”今天,我们应用“赵爽弦图”证明几道中考数学题和初中数学竞赛中的正方形问题,发扬我国古代数学的光辉,过程依然是简单明了.一、赵爽弦图的结构特征 People’s Education Edition junior high school mathematics eighth grade, the use of ancient Chinese mathematician Zhao Shuang constructed “chord figure ” (Figure 1) to prove the Pythagorean theorem, the number of forms with a combination of tactics, tactics simple, deep Welcomed by teachers and students.As the textbook says: “Zhao Shuang chord figure shows our country’s ancient spirit and wisdom of mathematics.” “Today, we use” Zhao Shuang string map "to prove that several math test and junior high school math contest In the square problem, carry forward the glory of ancient Chinese mathematics, the process is still simple and clear.