MS 540 Prism

MS 540 Prism
几何画板及绘图内容加载中,请稍等……
2016-12-11 06:50
This example demonstrates a three-dimensional prism with labeled vertices and edges, focusing on the measurement and visualization of angles between faces and edges. The core mathematical concepts include solid geometry, prism properties, dihedral angles, and plane angles. The construction uses GeoGebra commands such as Point to define vertices A, B, C, D, E, F, Prism to create the solid, Angle to mark various angles (α, β, γ, δ, ε, ζ), and Segment to draw edges like AE, DE, and BF. It is suitable for high school or early college students learning about 3D shapes, angle relationships, and dynamic geometry exploration, and can serve as an interactive teaching aid for instructors.

GeoGebra 命令及参数

  1. Point(yAxis) → B
  2. Prism(A, E, D, B) → a, F, edgeAD, edgeAF, edgeBE, edgeCD, edgeBF, edgeBC, edgeCF, C, faceADE, faceAEBF, faceBCDE, faceADCF, faceBCF, edgeAE, edgeDE
  3. Angle(D, A, B) → α
  4. Angle(B, A, E) → β
  5. Angle(A, B, C) → γ
  6. Angle(A, B, F) → δ
  7. Angle(C, B, F) → ε
  8. Angle(D, A, E) → ζ
  9. Point(edgeCD) → G
  10. Segment(F, G) → f
  11. Segment(B, G) → g
  12. Angle(F, G, B) → η