旋转变换站：旋转中心的影响

This interactive GeoGebra example demonstrates the rotation transformation in the plane, focusing on how the location of the rotation center affects the resulting image. Users can explore the concept of rotation, including the center, angle, and the invariant properties of distance and shape. The construction uses commands such as Polygon to create the original polygon, Circle and Point to define the center and auxiliary circles, CircleSector and Angle to visualize the rotation angle α, and Rotate to generate the rotated polygon and its associated objects (A', B', C', poly1', c', a', b'). Additional elements like CircleArc, segments f, g, h, and points G, k, p, q help illustrate the rotation paths and correspondences. Suitable for middle and high school students learning geometric transformations, and for teachers to demonstrate the effect of changing the rotation center in a dynamic way.