Periodic Functions and Period Determination

This example demonstrates how to determine fundamental properties of periodic functions based on given periodic points. By presenting discrete points with periodic distribution in a coordinate system, students are guided to analyze and determine the period and amplitude of corresponding periodic functions (such as sine function). Key mathematical concepts include definition of periodic functions, relationship between period and frequency, and physical meaning of amplitude. Construction details: Using GeoGebra to create multiple discrete points (A1-A9, B1-B9) simulating periodic data, adjusting parameters with sliders (a, b, c), adding buttons (button1, button2) for interactive demonstration, combining function f(x)=sin(x) and its variations for visualization. Suitable for high school mathematics courses in trigonometry unit, useful for consolidating periodic concepts and training function graph analysis skills, also applicable as typical example problems for period determination in competitive exams.