Real and Imaginary Components of Complex Numbers

①This GeoGebra example dynamically visualizes the real and imaginary components of a complex number on the plane, making the geometric representation of complex numbers intuitive. ②Core mathematical concepts include the real part (Re) and imaginary part (Im) of complex numbers, their correspondence to points and vectors in the complex plane, and interactions with functions, linear functions, and plane shapes such as circles and kites. ③Construction highlights: using GeoGebra commands Textfield, InputBox1, and Range to create interactive inputs, Surface and SelectedIndex to control display, and objects Setup, text1, show, f, Re, Im, a, b, L, id, c, d, e to build the dynamic visualization—where Re and Im extract the real and imaginary parts, and parameters a, b adjust values. ④Suitable for high school or early college students learning complex numbers, and for teachers demonstrating the geometric meaning of complex operations.