五棱柱 by CHAU CHUN SING

五棱柱 by CHAU CHUN SING
几何画板及绘图内容加载中,请稍等……
2015-06-22 15:19
该范例演示了五棱柱的几何构造。涉及的核心数学概念包括多边形、立体几何和几何作图。通过使用GeoGebra命令如Point、Circle、Segment等,可以构建五棱柱的各个面和边。适合初中及以上学生或教师使用。

GeoGebra 命令及参数

  1. Point(yAxis) → A
  2. Circle(A, 3, zAxis) → c
  3. Point(yAxis) → B
  4. Midpoint(B, A) → C
  5. Point(xAxis) → D
  6. Segment(C, D) → a
  7. Circle(yAxis, C) → d
  8. Circle(yAxis, C) → e
  9. Circle(yAxis, B) → f
  10. Circle(a, C) → g
  11. Circle(C, B) → h
  12. Intersect(h, a, 1) → E
  13. Circle(D, E) → k
  14. Intersect
  15. Intersect(c, k, 2) → F
  16. Intersect(c, k, 1) → G
  17. Segment(F, G) → b
  18. Intersect(yAxis, c, 2) → H
  19. Circle(G, F, xOyPlane) → p
  20. Intersect
  21. Intersect(c, p, 1) → I
  22. Segment(G, I) → i
  23. Circle(I, G, xOyPlane) → q
  24. Intersect
  25. Intersect(c, q, 1) → J
  26. Segment(J, I) → j
  27. Circle(J, I, xOyPlane) → r
  28. Intersect
  29. Intersect(c, r, 1) → K
  30. Segment(F, K) → l
  31. Segment(K, J) → m
  32. OrthogonalLine(K, xOyPlane) → n
  33. Point(n) → L
  34. Intersect(xAxis, j) → M
  35. Prism(K, M, I, G, F, L) → o, N, faceFKLQ, faceLNOPQ, edgeKM, edgeIM, edgeGI, edgeFG, edgeFK, edgeKL, edgeMN, edgeIO, O, edgeGP, edgeFQ, edgeLN, edgeNO, edgeOP, edgePQ, edgeLQ, P, Q, faceFGIMK, faceKLNM, faceIMNO, faceGIOP, faceFGPQ
  36. Midpoint(N, O) → S
  37. Vector(F, Q) → u
  38. Vector(Q, S) → v
  39. OrthogonalLine(P, xOyPlane) → t
  40. Segment(G, P) → a_1
  41. Vector(G, P) → w
  42. Distance(G, P) → GP
  43. Point(G, w_1) → R
  44. Vector(I, O) → u_1
  45. Point(I, v_1) → T
  46. Vector(F, R) → c_1
  47. Vector(R, T) → d_1
  48. Vector(T, S) → e_1
  49. Distance(F, Q) → distanceFQ
  50. Distance(Q, S) → distanceQS
  51. Distance(F, R) → distanceFR
  52. Distance(R, T) → distanceRT
  53. Distance(T, S) → distanceTS

AI 绘图提示语参考

绘制一个五角柱,包含两个平行的五边形底面和五条垂直的棱。首先在Y轴上创建点A和B,然后通过A、B、C、D、E、F、G、H、I、J、K、L、M、N、O、P、Q、R、S、T、U、V、W、X、Y、Z等点,构造五边形底面和棱。接着使用这些点构造五角柱的各个面,包括五边形底面、侧面和棱。
以上提示语为根据原始绘图命令整理而来,仅供参考。