Cutting a Paraboloid with Polyline Tool in GeoGebra

This example demonstrates how to use GeoGebra's Polyline (CorbaPoligonal) tool to cut through a paraboloid and create cross-section curves in three-dimensional space. Key mathematical concepts include: (1) the paraboloid - a quadric surface formed by rotating a parabola around its axis; (2) parametric equations (CurveCartesian) for defining space curves; (3) cross-section analysis in solid geometry. Construction points: Use the Vertex command to locate key vertices, apply the PolyLine/CorbaPoligonal tool to draw polylines forming the cross-section boundary, and utilize CurveCartesian commands to construct parametric curves. Suitable for high school and university students studying solid geometry, parametric curves, and spatial analytic geometry, as well as math teachers demonstrating cross-section problems.