圆柱抛物面的交线

This example demonstrates the intersection of two cylindrical parabolas (parabolic cylinders, e.g., surfaces of the form z = x² or z = y²) in three-dimensional space, visually showing the shape and position of their intersection curve. The core mathematical concepts involve spatial analytic geometry, surface equations, solving intersections, and parametric curves with vector geometry. Construction highlights: using GeoGebra's Point command to create key points b, c, A, and using these points to define surface a, thereby constructing the intersection of the two parabolic cylinders; the whole construction links basic objects to complex geometric forms. Suitable for senior high school or early university students to understand spatial surface intersections, parametric equations, and 3D visualization, and also useful for teachers demonstrating spatial analytic geometry concepts.