Ellipse Optimization Demo

This example demonstrates the optimization problem of finding the maximum/minimum distance from a point on an ellipse to a tangent line. Key math concepts include ellipses, coordinate geometry, tangent functions, and linear equations. GeoGebra commands used are Intersect, Segment, and Tangent, with objects like ellipse c, point A, parameter a, point P, function f, text1, and line g. Suitable for high school and above students learning ellipse properties, tangent applications, and optimization techniques.