Emphasizing Intersections - Task with Rectangles and Median Lines

① This interactive GeoGebra task focuses on highlighting the intersection points among rectangles, polygons, and multiple lines, including median lines, to visually emphasize where geometric objects meet. ② Core mathematical concepts include properties of rectangles, vertex coordinates of polygons, the definition and geometric role of median lines, determination of intersection coordinates, and the integration of means with coordinate systems. ③ Construction details: based on the summary, the example uses the Polygon command to create poly1, Line commands to generate lines f, g, h, i, etc., along with Textfield and InputBox for entering coordinates or parameters. Objects include points A, B, C and auxiliary points A2, B2, etc., with multiple lines k, l, p, q, r, a, b, c, d, e, m, n intersecting the polygon to produce rich intersection markers. ④ Suitable for middle and high school students learning coordinate geometry and geometric construction, as well as for teachers demonstrating intersection concepts and median line properties in dynamic geometry environments.