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棱柱与特殊点演示

棱柱与特殊点演示
几何画板及绘图内容加载中，请稍等……
2020-04-30 16:37
多边形立体几何几何作图轨迹
①本范例演示了直棱柱及其侧面、顶点、棱的几何关系与特殊点；②涉及核心概念：立体几何、多边形、特殊点（如棱中点、角平分线）、轨迹；③构造要点：使用Intersect（交点）、Point（点）、Polygon（多边形）、Prism（棱柱）、Line（直线）、CircleArc（圆弧）、Segment（线段）、Locus（轨迹）、Rotate（旋转）、LineBisector（角平分线）、Plane（平面）、Mirror（镜像）；④适合高中立体几何教学与几何作图探索。

GeoGebra 命令及参数

  1. Intersect(zAxis, yAxis) → B
  2. Point(xAxis) → C
  3. Point(yAxis) → D
  4. Polygon(B, C, A, D) → vierhoek1, b, c, a, d
  5. Prism(vierhoek1, 2) → e, E, RibbeBE, RibbeCF, RibbeAG, RibbeDH, RibbeEF, RibbeFG, RibbeGH, RibbeEH, F, G, H, zijvlakBCFE, zijvlakACFG, zijvlakADHG, zijvlakBDHE, zijvlakEFGH
  6. Point(zAxis) → I
  7. Line(M, N) → f
  8. CircleArc(M, J, L) → g
  9. Line(M, I) → h
  10. Segment(J, F) → i
  11. Segment(L, K) → j
  12. Segment(B, K) → k
  13. Point({k, RibbeEF, RibbeBE, i, j, g}) → P
  14. Locus(PP, P) → mp1
  15. CircleArc(M, O, J) → p
  16. Segment(O, Q) → l
  17. Segment(Q, A) → m
  18. Line(A, G) → as
  19. Rotate(zijvlakEFGH, α, as) → zijvlakEFGH'
  20. Rotate(E, α, as) → E'
  21. Rotate(B, α, as) → B'
  22. Segment(E', B') → RibbeBE'
  23. Rotate(vierhoek1, α, as) → vierhoek1'
  24. LineBisector(B, B', xOyPlane) → n
  25. Plane(G, n) → q
  26. Mirror(g, q) → g'
  27. Mirror(p, q) → p'
  28. Mirror(J, q) → J'
  29. Mirror(F, q) → F'
  30. Segment(J', F') → i'
  31. Mirror(B, q) → B'_1
  32. Mirror(K, q) → K'
  33. Segment(B'_1, K') → k'
  34. Mirror(Q, q) → Q'
  35. Mirror(A, q) → A'
  36. Segment(Q', A') → m'
  37. Mirror(L, q) → L'
  38. Mirror(K, q) → K'_1
  39. Segment(L', K'_1) → j'
  40. Mirror(O, q) → O'
  41. Mirror(Q, q) → Q'_1
  42. Segment(O', Q'_1) → l'
  43. Mirror(D, q) → D'
  44. Mirror(H, q) → H'
  45. Segment(D', H') → RibbeDH'
  46. Segment(A, D') → r
  47. Segment(B'_1, D') → t
  48. Segment(J, J') → f_1
  49. Segment(F, F') → g_1
  50. Polygon(F, F', G) → driehoek1, g_2, f_2, f'
  51. Polygon(J, J', F', F) → vierhoek2, j_1, h_1, i_1, f_3
  52. Point(g) → S