积极 AI Logo 积极 AI

正方体底面的四棱锥（体积与表面积）

正方体底面的四棱锥（体积与表面积）
几何画板及绘图内容加载中，请稍等……
2016-05-16 14:01
立体几何
本范例演示正方体底面的四棱锥，涉及体积和表面积的计算。通过使用GeoGebra命令如Segment, Polygon, LineBisector等，可以构造四棱锥的几何模型。该范例适合中学阶段，帮助学生理解立体几何中的体积和表面积概念。

GeoGebra 命令及参数

  1. Segment(A, B) → a_1
  2. Polygon(A, B, 4) → Base, b, c, d, e, C, D
  3. LineBisector(D, A) → f
  4. LineBisector(B, A) → g
  5. Intersect(f, g) → E
  6. Pyramid(Base, Height) → Volume, F, faceABF, faceBCF, faceCDF, faceADF, edgeAF, edgeBF, edgeCF, edgeDF
  7. Net(Volume, Net) → n_1, W, face1, face3, face4, face2, edgeWZ, edge4, edge7, edge1, edge2, edge5, Z, edge6, edge8, edge9, edge10, edge11, edge3, A_1, B_1, C_1, D_1, E_1, F_1, face5
  8. PointIn(Base) → Pointpoly1_1
  9. PointIn(Base) → Pointpoly1
  10. PointIn(Base) → PointBase_1
  11. Distance(C, B) → distanceCB
  12. PointIn(face3) → Pointface3_1
  13. LineBisector(C, B) → a
  14. Intersect(a, edge8) → G
  15. Intersect(a, c) → H
  16. Distance(G, H) → distanceGH
  17. Segment(G, H) → i
  18. PointIn(face3) → Pointface3_2
  19. Distance(A, B) → distanceAB
  20. Volume(n_1) → volumen1
  21. Point(n_1) → Pointn1
  22. Textfield(distanceAB) → InputBox1
  23. PointIn(face4) → Pointface4
  24. PointIn(face3) → Pointface3
  25. PointIn(face1) → Pointface1
  26. PointIn(face2) → Pointface2
  27. PointIn(Base) → PointBase
  28. OrthogonalLine(B, c, space) → n
  29. PointIn(face4) → I
  30. Segment(F, I) → p