《全日制义务教育数学课程标准(实验稿)》突出和加强了图形变换的内容,图形变换有助于我们拓宽证明的途径,提高推理论证能力.对于图形的平移、旋转变换有下述基本性质:在平移变换下,两对应线段平行(或共线)且相等;在旋转变换下,两对应线段相等,两对应直线的交角等于旋转角.本文利用图形的平移、旋转变换给出勾股定理的几种别具一格的证法,供大家参考。 The “Full-time Compulsory Education Mathematics Curriculum Standard (Experimental Draft)” highlights and reinforces the content of the graphic transformation. The graphic transformation helps us to broaden the way of proof and improve the ability of reasoning. There are the following basic properties for the translation and rotation transformation of graphics. : Under the translation transform, the two corresponding line segments are parallel (or collinear) and equal; under the rotation transformation, the two corresponding line segments are equal, and the intersection angle of the two corresponding lines is equal to the rotation angle. This paper uses the translation and rotation transformation of the graph to give the Pythagorean theorem. There are several unique proofs for your reference.