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可调节的三棱柱 by Tim Brzezinski

可调节的三棱柱 by Tim Brzezinski
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2016-03-01 04:14
多边形向量立体几何几何作图
所属专题 Geometry: Surface Area & Volume Geometry: Surface Area & Volume Geometry: Surface Area & Volume GA Chapter 11: Surface Area and Volume Surface nets 6th Grade Surface Area & Volume Surface Area & Volume
①本范例演示一个可调节的三棱柱，帮助学生直观理解“表面积”等几何概念；②涉及核心数学概念包括立体几何、表面积计算、多边形性质；③构造要点运用了Point, Ray, Polygon, Vector, Translate, OrthogonalLine, Intersect, Angle, Segment等GeoGebra命令与对象；④适合高中立体几何教学或学生自主探究几何模型。

GeoGebra 命令及参数

  1. Point(g) → D
  2. Ray(C, D) → f
  3. Point(f) → F
  4. Ray(A, B) → e
  5. Point(e) → E
  6. Polygon(A, F, E) → poly1, c, h, i
  7. Vector(A, C) → v
  8. Translate(B, v) → B'_2
  9. Vector(A, (0, 0, (-d))) → u
  10. Translate(poly1, u) → poly1'
  11. Translate(A, u) → A'
  12. Translate(D, u) → D'
  13. Translate(E, u) → E'
  14. Translate(F, u) → F'
  15. Polygon(E, E', F', F) → poly2, e_1, e', f', f_1
  16. OrthogonalLine(F, j, xOyPlane) → k
  17. Intersect(j, k) → G
  18. Angle(E, G, F, xOyPlane) → α
  19. Segment(F, G) → l
  20. Polygon(A', A, F, F') → poly3, a', a_1, f_2, f'_1
  21. Point(i) → H
  22. Polygon(E', E, A, A') → poly4, e'_1, e_2, a_2, a'_1
  23. Translate(F, u) → F'_1
  24. Translate(G, u) → G'
  25. Segment(F'_1, G') → l'
  26. Translate(A, u) → A'_1
  27. Translate(F, u) → F'_2
  28. Translate(F, u) → F'_3
  29. Translate(E, u) → E'_1
  30. Translate(E, u) → E'_2
  31. Translate(A, u) → A'_2