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表面积与体积关系

表面积与体积关系
几何画板及绘图内容加载中，请稍等……
2017-05-11 01:15
立体几何变换几何作图
这个范例演示了表面积与体积之间的关系。它涉及几何变换和立体几何的核心概念。通过使用GeoGebra命令如Segment, OrthogonalLine, Rotate等，可以构造出各种几何图形，如圆柱、圆锥等。适合高中阶段的学生和教师使用。

GeoGebra 命令及参数

  1. Segment((0, 0), (0, 1)) → a
  2. OrthogonalLine(A, a) → b
  3. Point(b) → B
  4. Segment(A, B) → c
  5. Circle(C, c) → d
  6. Point(d) → D
  7. Segment(C, D) → e
  8. Rotate(D, -90°, C) → D'
  9. Angle(D', C, D) → α
  10. OrthogonalLine(D, e) → f
  11. OrthogonalLine(C, e) → g
  12. OrthogonalLine(D', g) → h
  13. Segment(C, D') → i
  14. Intersect(h, f) → E
  15. Segment(D', E) → j
  16. Segment(D, E) → k
  17. Circle(D', 36 / c^(2)) → p
  18. Intersect(p, g) → G, H
  19. Segment(D', G) → l
  20. OrthogonalLine(G, g) → m
  21. Intersect(m, f) → F
  22. Segment(G, F) → n
  23. Segment(F, E) → q
  24. Circle(E, c) → r
  25. OrthogonalLine(E, q) → s
  26. Intersect(r, s) → I, J
  27. Segment(E, I) → t
  28. OrthogonalLine(I, s) → a_1
  29. Intersect(m, a_1) → K
  30. Segment(F, K) → b_1
  31. Segment(I, K) → c_1
  32. Circle(G, c) → d_1
  33. Intersect(d_1, g) → L, M
  34. OrthogonalLine(L, g) → e_1
  35. Segment(G, L) → f_1
  36. Intersect(e_1, f) → N
  37. Segment(L, N) → g_1
  38. Segment(N, F) → h_1
  39. Circle(D', c) → k_1
  40. OrthogonalLine(D', i) → i_1
  41. Intersect(k_1, i_1) → O, P
  42. OrthogonalLine(O, i_1) → j_1
  43. OrthogonalLine(G, f_1) → l_1
  44. Intersect(l_1, j_1) → Q
  45. Polygon(O, D', G, Q) → poly1, o, d', g_2, q_1
  46. Polygon(D', E, F, G) → poly2, d'_1, e_2, f_2, g_3
  47. Polygon(C, D, E, D') → poly3, c_2, d_2, e_3, d'_2
  48. Polygon(G, F, N, L) → poly4, g_4, f_3, n_1, l_2
  49. Polygon(E, I, K, F) → poly5, e_4, i_2, k_2, f_4
  50. Circle(D, 36 / c^(2)) → p_1
  51. Intersect(p_1, f, 2) → R
  52. OrthogonalLine(R, f) → m_1
  53. Intersect(g, m_1) → S
  54. Polygon(C, S, R, D) → poly6, c_3, s_1, r_1, d_3