Two Ships (Parametric Equations)

① This example demonstrates the motion of two ships in a plane using parametric equations, showing how their positions change as the parameter t varies. ② The core mathematical concept is parametric equations, where coordinates are expressed as functions of a parameter t, and the example helps visualize the relationship between the parameter and the resulting path. ③ Construction details: In GeoGebra, a parameter t (likely a slider) is defined, and points A and B represent the two ships with coordinates given by parametric equations; text objects text1 and text2 display real-time positions or distances, enhancing observation of the motion. ④ Suitable for high school or early college students learning parametric equations, this dynamic model aids in understanding motion trajectories, relative positions, and can be used to explore problems like ship encounters or distance changes.