Cone Cross Sections
Loading the math board and drawing, please wait…
This example demonstrates the cross-sections of a cone, including ellipses, hyperbolas, and parabolas. By adjusting the plane's position, one can observe the formation of different cross-sections. Key mathematical concepts include the cone section theorem in coordinate geometry. GeoGebra commands used include Cone, Plane, and IntersectPath.
GeoGebra Commands & Parameters
Cone(A, B, 2) → a, c, bPlane(C, D, E) → pIntersectPath(p, a) → d
AI Drawing Prompt Reference
Draw a cone and adjust a plane to intersect with it, observing different conic sections such as ellipses, hyperbolas, and parabolas. First, draw a cone, then draw a plane, and finally let the plane intersect with the cone to show the intersection lines.
The prompt above was compiled from the original drawing commands and is for reference only.