Plane Cutting an Ellipsoid - Cross Section Visualization

This GeoGebra example demonstrates how to construct an ellipsoid and cut it with a plane to visualize the resulting cross-section curve. The core mathematical concepts include solid geometry (ellipsoid construction), plane-solid intersection, surface area of revolution, and trigonometric parametric equations. Construction details: Use the Surface command to create the ellipsoid surface based on parametric equations, employ the OrthogonalPlane tool to define the cutting plane, use CurveCartesian to plot the intersection curve as a parametric curve, and incorporate Vector tools for dynamic visualization. This example is suitable for high school and university students studying solid geometry, spatial analytic geometry, and applications of definite integrals to cross-sectional areas in calculus.