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长方体体积与表面积练习

长方体体积与表面积练习
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2012-12-07 09:18
立体几何几何作图
所属专题 Geo&Alg:Area Volume Pythagorean Th. Math Scored Practice
①本范例演示长方体的体积与表面积计算；②涉及核心数学概念包括体积公式、表面积公式、三维几何；③作图要点使用了Random, Point, Segment, OrthogonalLine, Circle, Intersect, Polygon, Rotate, Angle, Ray, Text, If等GeoGebra命令与对象；④适合初中及以上学生用于几何学习和实践。

GeoGebra 命令及参数

  1. Random(1, 10) → L
  2. Point(Circle[A, L]) → B
  3. Segment(A, B) → a
  4. OrthogonalLine(A, a) → b
  5. OrthogonalLine(B, a) → c
  6. Random(1, 10) → W
  7. Circle(A, W) → d
  8. Circle(B, W) → e
  9. Intersect(d, b) → C, D
  10. Intersect(e, c) → E, F
  11. Polygon(D, A, B, F) → poly1, d_1, a_1, b_1, f
  12. Rotate(B, 135°, F) → B'
  13. Angle(B, F, B') → α
  14. Rotate(A, 135°, D) → A'
  15. Angle(A, D, A') → β
  16. Rotate(F, 315°, B) → F'
  17. Angle(F', B, F) → γ
  18. Rotate(D, 315°, A) → D'
  19. Angle(D', A, D) → δ
  20. Ray(D, A') → g
  21. Ray(A, D') → h
  22. Ray(F, B') → i
  23. Ray(B, F') → j
  24. Random(1, 10) → H
  25. Circle(D, H) → k
  26. Intersect(k, g) → G,
  27. Circle(A, H) → p
  28. Intersect(p, h) → I,
  29. Circle(F, H) → q
  30. Intersect(q, i) → J,
  31. Circle(B, H) → r
  32. Polygon(D, G, I, A) → poly3, d_2, g_2, i_2, a_2
  33. Polygon(G, D, F, J) → poly5, g_3, d_3, f_2, j_3
  34. Text(score) → text7
  35. If(GuessVolume ≟ VOLUME, 1, 0) → addptv
  36. If(GuessTSA ≟ TSA, 1, 0) → addpttsa
  37. Text(W) → text4
  38. Text(H) → text9
  39. Text(L) → text10
  40. Intersect(r, j) → K,
  41. Polygon(F, B, K, J) → poly2, f_1, b_2, k_1, j_1
  42. Segment(I, K) → l
  43. Text(try) → text11
  44. Text(pTSA) → text13
  45. Text(pV) → text14