Parametric Circle Visualization in the Complex Plane

This example demonstrates the parametric representation and dynamic visualization of a circle in the complex plane (Gaussian plane). Using GeoGebra's CurveCartesian command with parameter t, the unit circle is drawn in complex form z=a·e^(it), showing the geometric correspondence between complex numbers and trigonometric functions. Construction details: The Vector command creates vectors from the origin to points on the circle, dynamically displaying the vector endpoints corresponding to complex numbers; slider parameter t combined with the play button creates cyclic motion of points on the circle; variable a controls the circle's radius. This example is suitable for high school mathematics 'Complex Numbers' unit teaching, helping students understand the relationship between algebraic and geometric representations of complex numbers, and can also serve as an introductory example for curve plotting in university 'Complex Analysis' courses.