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Cylinder Slice

Cylinder Slice
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2017-04-15 01:45
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the cross-section shape of a cylinder when it is intersected by a plane. Key mathematical concepts include the cross-section of a cylinder in solid geometry and the intersection of a plane and a cylinder in coordinate geometry. Using GeoGebra commands such as Intersect, Circle, Point, Cylinder, and Plane, the shape of the cross-section can be visually demonstrated. Suitable for high school mathematics education, particularly in solid geometry and coordinate geometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, B) → c
  3. Point(zAxis) → C
  4. Cylinder(C, A, 3) → a, d, e, b
  5. Point(zAxis) → D
  6. Intersect(yAxis, xAxis) → E
  7. Point(xAxis) → F
  8. Plane(D, F, E) → f
  9. IntersectPath(f, a) → g
  10. Corner(g) → G, H, I, J

AI Drawing Prompt Reference

Draw a cylinder and then use a plane to intersect it to show the shape of the cross-section. First, draw a cylinder, then draw a plane to intersect with the cylinder, and finally show the shape of the cross-section.
The prompt above was compiled from the original drawing commands and is for reference only.