Arithmetic-Geometric Mean Inequality Demo

This example dynamically demonstrates the Arithmetic-Geometric Mean Inequality, visually showing that the arithmetic mean of two positive numbers is always greater than or equal to their geometric mean. It involves core concepts like arithmetic mean, geometric mean, inequality proofs, and dynamic geometry. Construction uses commands such as Line, Point, Segment, LineBisector, Intersect, Circle, OrthogonalLine, Angle, with objects like f, a, b, g representing functions and numerical relationships. Suitable for high school and above learners to understand the theorem and geometric intuition.