Visualizing Real and Imaginary Parts of Quadratic Roots

① This example demonstrates a 3D visualization of the real and imaginary parts of the roots of a quadratic equation, making abstract complex roots tangible as spatial curves or surfaces. ② Core mathematical concepts include the quadratic formula, complex numbers, real and imaginary parts, and the discriminant determining root types (real or conjugate complex). ③ Construction uses GeoGebra commands IntersectPath and Intersect, with objects a, b, c, d, e, f, g, h and points A, B, likely involving sliders to dynamically adjust coefficients and observe root trajectories. ④ Suitable for high school to undergraduate mathematics education, particularly for integrating analytic geometry, complex numbers, and function graphing to deepen understanding of root behavior in the complex plane.