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Decimal乘法与几何作图示例

Decimal乘法与几何作图示例
几何画板及绘图内容加载中，请稍等……
2019-03-13 16:53
解析几何几何作图函数图像
本范例演示了如何通过几何图形理解小数乘法运算。核心数学概念包括几何作图、坐标几何和函数图像。作图要点涉及使用GeoGebra命令如Segment、Polygon、Sequence和If来构造图形。适合初中生学习几何与代数结合的数学应用。

GeoGebra 命令及参数

  1. Segment(A, D) → f
  2. Segment(D, C) → g
  3. Segment(C, B) → h
  4. Segment(B, A) → i
  5. Segment(E, F) → j
  6. Segment(F, G) → k
  7. Segment(G, H) → l
  8. Segment(H, E) → m
  9. Segment(I, J) → n
  10. Segment(J, K) → p
  11. Segment(K, L) → q
  12. Segment(I, L) → r
  13. Polygon((0, 20), (10, 20), (10, 21), (0, 21)) → q1, s, t, a, b
  14. Polygon((0, 22), (10, 22), (10, 23), (0, 23)) → q2, c, d, e, f_1
  15. Sequence((k, 24), k, 0, 7) → l1
  16. Sequence((k, 25), k, 0, 7) → l2
  17. Sequence(Polygon[Element[l1, k], Element[l1, k + 1], Element[l2, k + 1], Element[l2, k]], k, 1, 8, 2) → l3
  18. Sequence(Vector[Element[l4, k], Element[l5, k]], k, 1, 6) → l6
  19. If(0 < o < 1, Vector[Dilate[Element[l6, 1], o]], Vector[If[o ≥ 1, Vector[Element[l6, 1]]]]) → u
  20. If(1 ≤ o < 2, Vector[Dilate[Element[l6, 2], o - 1]], Vector[If[o ≥ 2, Vector[Element[l6, 2]]]]) → v
  21. If(2 ≤ o < 3, Vector[Dilate[Element[l6, 3], o - 2]], Vector[If[o ≥ 3, Vector[Element[l6, 3]]]]) → w
  22. If(3 ≤ o < 4, Vector[Dilate[Element[l6, 4], o - 3]], Vector[If[o ≥ 4, Vector[Element[l6, 4]]]]) → u_1
  23. If(4 ≤ o < 5, Vector[Dilate[Element[l6, 5], o - 4]], Vector[If[o ≥ 5, Vector[Element[l6, 5]]]]) → v_1
  24. If(5 ≤ o < 6, Vector[Dilate[Element[l6, 6], o - 5]], Vector[If[o ≥ 6, Vector[Element[l6, 6]]]]) → w_1
  25. Join({l8, l3}) → l9
  26. Sequence((0, k), k, 0, 9) → l11
  27. Sequence((10, k), k, 0, 9) → l12
  28. Sequence((12, k), k, 0, 9) → l13
  29. Sequence((22, k), k, 0, 9) → l14
  30. Sequence((24, k), k, 0, 9) → l15
  31. Sequence((25, k), k, 0, 9) → l16
  32. Sequence((26, k), k, 0, 9) → l17
  33. Sequence((27, k), k, 0, 9) → l18
  34. Sequence((28, k), k, 0, 9) → l19
  35. Sequence(Polygon[Element[l11, 11 - k], Element[l11, 10 - k], Element[l12, 10 - k], Element[l12, 11 - k]], k, 1, o - 5) → l20
  36. Sequence(Polygon[Element[l13, 11 - k], Element[l13, 10 - k], Element[l14, 10 - k], Element[l14, 11 - k]], k, 1, o - 5) → l21
  37. Sequence(Polygon[Element[l15, 11 - k], Element[l15, 10 - k], Element[l16, 10 - k], Element[l16, 11 - k]], k, 1, o - 5) → l22
  38. Sequence(Polygon[Element[l16, 11 - k], Element[l16, 10 - k], Element[l17, 10 - k], Element[l17, 11 - k]], k, 1, o - 5) → l23
  39. Sequence(Polygon[Element[l17, 11 - k], Element[l17, 10 - k], Element[l18, 10 - k], Element[l18, 11 - k]], k, 1, o - 5) → l24
  40. Sequence(Polygon[Element[l18, 11 - k], Element[l18, 10 - k], Element[l19, 10 - k], Element[l19, 11 - k]], k, 1, o - 5) → l25
  41. Sequence(Translate[Element[l9, k], Vector[Element[l7, k]]], k, 1, 2) → l10
  42. Sequence(Translate[Element[l9, k], Vector[Element[l7, k]]], k, 3, 6) → l26