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三棱锥与长方体的体积

三棱锥与长方体的体积
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2017-12-23 15:33
立体几何几何作图
所属专题 Mathematics Form 2
本范例演示了三棱锥与长方体的体积计算。核心数学概念包括立体几何中的体积计算。通过使用GeoGebra命令如If, Line, Intersect等，可以构造出三棱锥与长方体的几何模型。适合高中数学教学或学习立体几何的学生。

GeoGebra 命令及参数

  1. If(a > 1, 1, a) → a_1
  2. Line(A, xAxis) → f
  3. Line(B, yAxis) → g
  4. Line(A, g) → i
  5. Line(C, f) → h
  6. Intersect(h, i) → D
  7. If(a ≤ 2, 0, a - 2) → a_3
  8. Midpoint(B, C) → C_4
  9. Midpoint(B, B_1) → B_2
  10. Midpoint(C, C_1) → C_2
  11. If(b > 1, 1, b) → b_1
  12. If(b ≤ 2, 0, b - 2) → b_3
  13. Line(V_2, xAxis) → p
  14. Midpoint(D, D_1) → D_2
  15. Midpoint(C, C_3) → C_5
  16. Midpoint(C, D) → D_3
  17. Line(V_2, yAxis) → m
  18. If(b ≤ 1, 0, b - 1) → b_2
  19. If(a ≤ 1, 0, a - 1) → a_2
  20. Rotate(Pyramid[Polygon[B, C, C_2, B_2], V_1], 90°, g) → Pir2a
  21. Rotate(Pyramid[Polygon[A, D, C, B], s_3], 0°, xAxis) → Pir1
  22. Rotate(Prism[Polygon[A, D, C, B], s_3], 0°, xAxis) → Prs
  23. Rotate(Pyramid[Polygon[C, D, D_1, C_3], V_3], ((b_2 * 90))°, h) → Pir3c
  24. Rotate(Rotate[Pyramid[Polygon[B_2, C_2, C_1, B_1], V_1], 90°, g], ((a_3 * 180))°, m) → Pir2b
  25. Rotate(Rotate[Pyramid[Polygon[D_2, D_1, C_3, C_5], V_3], 90°, h], ((b_3 * 180))°, p) → Pir3b
  26. Rotate(Pyramid[Polygon[B, C, C_1, B_1], V_1], ((a_2 * 90))°, g) → Pir2c
  27. Rotate(Pyramid[Polygon[C, D, D_2, C_5], V_3], 90°, h) → Pir3a
  28. SelectedIndex(Bahasa) → nn
  29. If(nn ≟ 1, "Volume of ", "Isi padu ") → Tex1
  30. If(nn ≟ 1, "green pyramid = ", "piramid hijau = ") → Tex2a
  31. If(nn ≟ 1, "yellow pyramid = ", "piramid kuning = ") → Tex2b
  32. If(nn ≟ 1, "red pyramid = ", "piramid merah = ") → Tex2c