Proportional Division: Segment and Triangle Ratio Demonstration

① This GeoGebra example dynamically demonstrates proportional division in segments and triangles, showing how points D and E divide segments AB and CE proportionally, with left and right ratios displayed. ② Core math concepts include ratio, similar triangles, segment division ratios, and geometric proportion, involving distance measurement and ratio calculation. ③ Construction highlights: use Polygon to create triangle ABC, Point and Line to define division points, Intersect to find intersections, Distance to measure segment lengths (AD, DB, CE, EB), Midpoint for midpoints, Corner for panel corners, and Text objects to display distances and ratios, with sliders or dynamic points to control division positions. ④ Suitable for middle and high school students to understand the geometric meaning of proportional division, and as an example for geometric construction and dynamic mathematics teaching.