Multiplying Complex Numbers Using Polar Form: An Interactive Intro

① This GeoGebra example dynamically demonstrates the multiplication of two complex numbers in polar form, visually showing that magnitudes multiply and arguments add. ② Core mathematical concepts include polar representation of complex numbers, complex multiplication rules, vector rotation and scaling, and angle relationships on the unit circle. ③ Construction highlights: uses Intersect command to find intersection points, Vector command to create vectors representing complex numbers, and Segment command to connect key points; objects include complex points z_1, z_2, vectors u, v, w, angles α, β, γ, and text labels text1, text2, text3 for numerical values. ④ Suitable for high school or early college students learning complex number operations, and useful for teachers as an interactive classroom demonstration to bridge algebra and geometry.