Rotation of Inverse Proportion Function Graphs

This example demonstrates dynamic rotation of inverse proportion function graphs around a point and resulting intersections. Core concepts include properties of inverse proportion functions, geometric transformations via rotation, intersection points, and tangent relations. Construction uses Rotate command on function f to produce f_1 and f_2, Intersect command to locate point A, with object α controlling angles. Suitable for high school coordinate geometry, function graphing, and optimization visualization.