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由下列两道课本题: 1．(人教版初中几何第二册P106-B组第4 题)如图1,在边长为c的正方形中,有四个斜 边为c的全等直角三角形,已知它们的直角边 长为a,b．利用这个图证明勾股定理(这个图叫 做勾股圆方图,我国古代数学家赵爽在他所著 的《勾股圆方图注》中,用这个图证明了勾股定 理)． 由下列两道课本题: 1．(人教版初中几何第二册P106-B组第4 题)如图1,在边长为c的正方形中,有四个斜 边为c的全等直角三角形,已知它们的直角边 长为a,b．利用这个图证明勾股定理(这个图叫 做勾股圆方图,我国古代数学家赵爽在他所著 的《勾股圆方图注》中,用这个图证明了勾股定 理)．
The following two textbook topics: (PEP Junior School Geometry Booklet P106-B Group 4) As shown in Figure 1, in a square with sides c, there are four equal-angled triangles with hypotenuse c, known as their right-angled sides. For a, b. Use this map to prove the Pythagorean theorem (this figure is called the gouthogram, and Zhao Shuang, an ancient mathematician in China, used this figure to prove the Pythagorean quotation). The following two textbook topics: (PEP Junior School Geometry Booklet P106-B Group 4) As shown in Figure 1, in a square with sides c, there are four equal-angled triangles with hypotenuse c, known as their right-angled sides. For a, b. Use this map to prove the Pythagorean theorem (this figure is called the gouthogram, and Zhao Shuang, an ancient mathematician in China, used this figure to prove the Pythagorean quotation).