Roots of a Complex Number: Geometric Construction of Unit Roots

① This GeoGebra example dynamically visualizes the roots of unity on the complex plane, showing that the n-th roots of unity form the vertices of a regular n-gon. ② Core mathematical concepts include polar form of complex numbers, De Moivre's formula, solving z^n=1, and the geometric interpretation of complex multiplication as rotation. ③ Construction details: uses Sequence to generate equally spaced points, Intersect to find intersections with the unit circle, Circle to draw the unit circle, and Polygon to connect adjacent roots into a regular polygon; key objects include point A, integer n, complex number z_1, list1, intersection point B, circle c, and polygon poly1. ④ Suitable for high school to early college students learning complex numbers, offering an intuitive geometric approach to roots of unity, regular polygons, and the relationship between algebra and geometry.