Dynamic Geometry Animation: Composite Transformations of Lines, Circles, and Sec

① This example demonstrates a dynamic geometric animation composed of points, lines, circles, and sectors, showing the relationships and motion among geometric elements through rotations, translations, and scaling. ② Core mathematical concepts include linear functions, straight lines, angle rotation, circle properties, sector area, and introductory fractal geometry, involving transformations (rotation, translation, dilation) and locus generation. ③ Construction highlights: Based on the construction summary, the example uses GeoGebra commands such as Point, Rotate, Angle, Line, Circle, Intersect, CircleSector, Dilate, Vector, Translate, and CircleArc, creating numerous objects like m, A, a, B, α, B', β, b, c, e, d, C, f, D, E, F, G, H, I, J, K, g, h, s, t, i, A', u, j, s', t', l, d_1, e_1, g_1, k_1, t'', s''. Parameters are controlled via sliders or animation. ④ Suitable for high school or early college students to understand geometric transformations, function graphs, and dynamic geometry, also serving as an intuitive introduction to fractal geometry, enhancing spatial visualization and dynamic thinking.