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用数组分解乘法

用数组分解乘法
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2015-01-14 10:24
函数变换几何作图
这个范例通过数组展示了乘法的分解方法。它涉及的核心数学概念是乘法。通过使用GeoGebra命令如Intersect、Point、Segment等，可以构造出数组模型。适合小学高年级或初中学生学习乘法分解。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Segment(A, B) → a
  4. Point(yAxis) → C
  5. Segment(A, C) → b
  6. Point(b) → D
  7. Segment(A, D) → c
  8. Line(D, a) → d
  9. Line(B, c) → e
  10. Intersect(d, e) → E
  11. Segment(D, E) → f
  12. Segment(E, B) → g
  13. Point(a) → F
  14. Line(F, c) → h
  15. Ray(A, B) → i
  16. Point(i) → G
  17. Segment(B, G) → j
  18. Line(G, g) → k
  19. Intersect(d, h) → H
  20. Polygon(H, F, B, E) → poly1, h_1, f_1, b_1, e_1
  21. Point(j) → I
  22. Line(I, g) → l
  23. Intersect(d, l) → J
  24. Polygon(B, I, J, E) → poly2, b_2, i_1, j_1, e_2
  25. Intersect(d, k) → K
  26. Polygon(I, G, K, J) → poly3, i_2, g_1, k_1, j_2
  27. Polygon(A, F, H, D) → poly4, a_1, f_2, h_2, d_1
  28. Segment(D, A) → m
  29. Segment(G, A) → n
  30. Segment(G, K) → p
  31. Segment(K, D) → q
  32. Segment(H, F) → r
  33. Segment(E, B) → s
  34. Segment(J, I) → t
  35. Distance(A, D) → distanceAD
  36. Distance(D, H) → distanceDH
  37. Distance(H, E) → distanceHE
  38. Distance(E, J) → distanceEJ
  39. Distance(J, K) → distanceJK