Relating Roots: Exploring Connections Between Complex Roots and Geometric Figure

① This GeoGebra example dynamically demonstrates how the roots of complex equations relate to geometric figures such as circles and parallelograms, making the geometric meaning of roots visually intuitive. ② Core mathematical concepts include complex numbers, roots of equations, differential equations, properties of circles and parallelograms, and the correspondence between roots and geometric elements. ③ Construction highlights: using the Point command to create key points, with objects f (likely a function or equation), A (a point), and multiple text objects (text1 to text6) to label and explain the relationships; dragging points or sliders reveals how roots change. ④ Suitable for high school to undergraduate mathematics education, especially for complex number geometry, introductory differential equations, and dynamic geometry exploration, helping students build a visual bridge between algebra and geometry.