Uniform Continuity Exploration: Dynamic Visualization

① This example dynamically demonstrates the concept of uniform continuity of a function, allowing users to adjust parameters and observe how the function behaves over an interval. ② Core mathematical concepts include uniform continuity, continuity, the epsilon-delta definition, function graphs, and loci. ③ Construction highlights: using GeoGebra commands such as Segment, Point, Locus, and Intersect, the example builds function f, moving points A/B, intersection points C/D/E/F, and locus loc1, with sliders a and b controlling the interval and parameters to visually compare uniform continuity with ordinary continuity. ④ Suitable for university-level mathematical analysis or advanced calculus courses, and also for high school students seeking a deeper understanding of continuity through interactive exploration.