According to the meaning of the question, take AP and PB as sides respectively, and make equilateral △AEP and equilateral △PFB "on the same side of line segment AB, and get that ∠EAP and ∠FBP are both equal to 60. Finally, two points, e and f, overlap into a point G, and a large equilateral triangle is obtained, and then the length of the moving path of the point G is calculated.