Ellipse Foci and Locus Demonstration

This example demonstrates the properties of an ellipse's foci and the generation of its locus. Key mathematical concepts include the definition of an ellipse, foci, directrices, trigonometric functions, and analytical geometry. Construction highlights involve using GeoGebra commands like Spline, Point, Tangent, OrthogonalLine, Circle, Intersect, and Ellipse to build the ellipse and its foci, with an animation showing locus changes. Suitable for high school mathematics education to understand the geometric properties and parametric equations of ellipses.