Dynamic Construction of the Graph of |f(x)|

① This example uses an ant-like moving point along the curve to vividly demonstrate how to construct the graph of the absolute value function |f(x)| from any given function f(x), by reflecting the portion below the x-axis upward across the x-axis. ② The core mathematical concepts include absolute value transformations, function graphs, zeros, sign changes, and piecewise functions, combined with sequences and dynamic geometry. ③ Construction highlights: The GeoGebra commands include Sequence to generate a series of points or loci, a button (button1) to control animation, and objects such as f, k, l, X, Q, g, Z, S to build the dynamic process, with text labels (text1, text6_1) and boundary coordinates (xl, yt, xr, yb) to annotate the viewing window. ④ This is suitable for middle and high school mathematics teaching, especially for visualizing the geometric meaning of absolute value transformations, and can be used as a dynamic demonstration or for student exploration.