Unit 4: Fractions of Ropes

① This GeoGebra example dynamically demonstrates how to divide a rope (represented as a line segment) into fractional parts, while also showcasing related geometric constructions such as triangles and orthocenters. ② Core mathematical concepts include visual representation of fractions, proportional division, quadratic functions, geometric distribution, indefinite integrals, and orthocenter properties, bridging algebra and geometry. ③ Construction highlights: Based on the summary, the Segment command is used to create multiple segments (objects like A, E_1, E_2, D_1, etc.), involving points, lines, and polygons; users can drag points interactively to observe how fraction changes affect the entire figure. ④ Suitable for middle and high school students learning fractions and geometry, as well as for teachers to demonstrate the connection between fractional operations and geometric construction, enhancing intuitive understanding.