Median, Integral, and Geometry Transformation Demo

This example demonstrates the application of median, definite integral, and geometric transformation in mathematics, showcasing the dynamic relationship between function graphs and geometric shapes. Key math concepts include median, definite integral, geometric transformation, and linear programming. Construction highlights involve commands like Point, Vector, Textfield, Sequence, and objects such as k, A, h, f, a, A_1, B, u, etc., enabling interactive dynamic visualization. Suitable for high school and above, this example illustrates the integration of functions, integrals, and geometric transformations.