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正方体和长方体的表面积

正方体和长方体的表面积
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2015-01-28 09:53
解析几何立体几何几何作图
所属专题 Area-Volumen-Algebra-inequalities-Trigonometric
这个范例演示了正方体和长方体的表面积计算。核心数学概念包括几何和面积计算。通过使用GeoGebra命令如Intersect, Point, Polygon等，可以构造出正方体和长方体的表面积。适合初中和高中学生学习几何和面积计算。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Point(yAxis) → D
  4. Polygon(A, B, C, D) → Base, a, b, c, d
  5. Point(zAxis) → E
  6. Line(E, xAxis) → e
  7. Line(B, zAxis) → f
  8. Line(C, zAxis) → g
  9. Line(D, zAxis) → h
  10. Intersect(e, f) → F
  11. Line(F, b) → i
  12. Intersect(g, i) → G
  13. Line(E, i) → j
  14. Line(G, e) → k
  15. Intersect(j, k) → H
  16. Polygon(H, D, C, G) → poly1, h_1, d_1, c_1, g_1
  17. Polygon(H, E, F, G) → poly2, h_2, e_1, f_1, g_2
  18. Intersect(zAxis, xOyPlane) → I
  19. Polygon(E, I, D, H) → poly3, e_2, i_1, d_2, h_3
  20. Polygon(B, C, G, F) → poly4, b_1, c_2, g_3, f_2
  21. Polygon(B, A, E, F) → poly5, b_2, a_1, e_3, f_3
  22. PointIn(poly2) → Pointpoly2
  23. PointIn(poly5) → Pointpoly5
  24. PointIn(poly3) → Pointpoly3_1
  25. PointIn(poly3) → Pointpoly3_2
  26. PointIn(poly3) → Pointpoly3_3
  27. PointIn(poly3) → Pointpoly3
  28. PointIn(Base) → PointBase_1
  29. PointIn(Base) → PointBase
  30. Line(C, B) → l
  31. Line(D, C) → m
  32. Point(l) → K
  33. Point(yAxis) → L
  34. Polygon(A, B, K, L) → poly6, a_2, b_3, k_1, l_1
  35. Point(l) → M
  36. Point(yAxis) → N
  37. Polygon(C, M, N, D) → poly7, c_3, m_1, n, d_3
  38. Point(xAxis) → J
  39. Point(m) → O
  40. Point(xAxis) → P
  41. Point(m) → Q
  42. Polygon(D, A, P, Q) → poly9, d_5, a_3, p, q
  43. Point(yAxis) → R
  44. Point(l) → S
  45. Polygon(N, M, S, R) → poly10, n_1, m_2, s, r
  46. Polygon(C, O, J, B) → poly8, c_4, o, j_1, b_4