Intersection of Sphere, Cone, and Cylinder

① This GeoGebra example demonstrates the intersections among a sphere, a cone, and a cylinder in 3D space, showing the resulting curves or cross-sections. ② Core mathematical concepts include solid geometry, equations of quadric surfaces (sphere, cone, cylinder), linear equations in space, tangent functions, and introductory calculus ideas. ③ Construction highlights: using commands IntersectPath and Intersect, the model defines multiple equation objects (eq1 to eq14) and auxiliary points, lines, and planes, then computes intersection paths or points between surfaces, possibly with sliders for dynamic parameter adjustment. ④ Suitable for high school to early college students, this example aids in visualizing spatial analytic geometry, surface intersections, and 3D graphing, and serves as a teaching tool for instructors explaining spatial relationships.