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小数乘法几何演示

小数乘法几何演示
几何画板及绘图内容加载中，请稍等……
2019-03-06 20:05
函数解析几何几何作图
该范例通过几何图形展示了小数乘法的过程。核心数学概念包括小数乘法和坐标几何。使用了Product, Sequence, Mod, Polygon, Segment, Textfield等GeoGebra命令。适合小学高年级或初中学生学习小数乘法和几何作图。

GeoGebra 命令及参数

  1. Product({a, 10}) → b
  2. Sequence(Dilate[D, k, C], k, 0, 1, 0.1) → l1
  3. Sequence(Dilate[B, k, A], k, 0, 1, 0.1) → l2
  4. Sequence(Dilate[C, k, A], k, 0, 1, 0.1) → l3
  5. Sequence(Dilate[D, k, B], k, 0, 1, 0.1) → l4
  6. Sequence(Segment[Element[l1, k], Element[l2, k]], k, 1, 11) → l5
  7. Sequence(Segment[Element[l3, k], Element[l4, k]], k, 1, 11) → l6
  8. Sequence(Dilate[D_1, k, C_1], k, 0, 1, 0.1) → l1_1
  9. Sequence(Dilate[B_1, k, A_1], k, 0, 1, 0.1) → l2_1
  10. Sequence(Dilate[C_1, k, A_1], k, 0, 1, 0.1) → l3_1
  11. Sequence(Dilate[D_1, k, B_1], k, 0, 1, 0.1) → l4_1
  12. Sequence(Segment[Element[l1_1, k], Element[l2_1, k]], k, 1, 11) → l5_1
  13. Sequence(Segment[Element[l3_1, k], Element[l4_1, k]], k, 1, 11) → l6_1
  14. Sequence(Dilate[D_2, k, C_2], k, 0, 1, 0.1) → l1_2
  15. Sequence(Dilate[B_2, k, A_2], k, 0, 1, 0.1) → l2_2
  16. Sequence(Dilate[C_2, k, A_2], k, 0, 1, 0.1) → l3_2
  17. Sequence(Dilate[D_2, k, B_2], k, 0, 1, 0.1) → l4_2
  18. Sequence(Segment[Element[l1_2, k], Element[l2_2, k]], k, 1, 11) → l5_2
  19. Sequence(Segment[Element[l3_2, k], Element[l4_2, k]], k, 1, 11) → l6_2
  20. Sequence(Dilate[D_3, k, C_3], k, 0, 1, 0.1) → l1_3
  21. Sequence(Dilate[B_3, k, A_3], k, 0, 1, 0.1) → l2_3
  22. Sequence(Dilate[C_3, k, A_3], k, 0, 1, 0.1) → l3_3
  23. Sequence(Dilate[D_3, k, B_3], k, 0, 1, 0.1) → l4_3
  24. Sequence(Segment[Element[l1_3, k], Element[l2_3, k]], k, 1, 11) → l5_3
  25. Sequence(Segment[Element[l3_3, k], Element[l4_3, k]], k, 1, 11) → l6_3
  26. Product({b, 10}) → c
  27. Mod(c, 10) → d
  28. Polygon(A, B, D, C) → q1, a_1, b_1, d_1, c_1
  29. Polygon(A_1, B_1, D_1, C_1) → q2, f, g, h, i
  30. Polygon(A_2, B_2, D_2, C_2) → q3, a_2, b_2, d_2, c_2
  31. Polygon(A_3, B_3, D_3, C_3) → q4, a_3, b_3, d_3, c_3
  32. Polygon(A, F, E, C) → q5, a_4, f_1, e_1, c_4
  33. Polygon(C_1, G, H, A_1) → q6, j, g_1, h_1, k
  34. Polygon(I, J, A_2, C_2) → q7, i_1, j_1, l, m
  35. Sequence(Dilate[P, k, N], k, 0, 1, 0.1) → l7
  36. Sequence(Dilate[O, k, M], k, 0, 1, 0.1) → l8
  37. Sequence(Segment[Element[l7, k], Element[l8, k]], k, 1, 11) → l9
  38. Segment(N, P) → n
  39. Segment(M, O) → p
  40. Polygon(N, M, Q, R) → q8, n_1, m_1, q, r
  41. Sequence(Dilate[V, k, T], k, 0, 1, 0.1) → l10
  42. Sequence(Dilate[U, k, S], k, 0, 1, 0.1) → l11
  43. Sequence(Segment[Element[l10, k], Element[l11, k]], k, 1, 11) → l12
  44. Segment(T, V) → s
  45. Segment(S, U) → t
  46. Polygon(T, Z, W, S) → q9, t_1, z_1, w, s_1
  47. Sequence(Dilate[H_1, k, F_1], k, 0, 1, 0.1) → l13
  48. Sequence(Dilate[G_1, k, E_1], k, 0, 1, 0.1) → l14
  49. Sequence(Segment[Element[l13, k], Element[l14, k]], k, 1, 11) → l15
  50. Segment(F_1, H_1) → k_1
  51. Segment(E_1, G_1) → l_1
  52. Polygon(F_1, J_1, I_1, E_1) → q10, p_1, q_1, r_1, f_2
  53. Sequence(Dilate[N_1, k, L_1], k, 0, 1, 0.1) → l16
  54. Sequence(Dilate[M_1, k, K_1], k, 0, 1, 0.1) → l17
  55. Sequence(Segment[Element[l16, k], Element[l17, k]], k, 1, 11) → l18
  56. Segment(L_1, N_1) → g_2
  57. Segment(M_1, K_1) → h_2
  58. Polygon(P_1, O_1, K_1, L_1) → q11, i_2, o_1, j_2, k_2
  59. Polygon(C_3, Q_1, R_1, A_3) → q12, l_2, m_2, n_2, p_2
  60. Textfield(a) → InputBox1
  61. Polygon(M, N, P, O) → q13, m_3, n_3, p_3, o
  62. Polygon(T, V, U, S) → q14, t_2, v, u, s_2
  63. Polygon(E_1, F_1, H_1, G_1) → q15, q_2, r_2, e_2, f_3
  64. Polygon(K_1, L_1, N_1, M_1) → q16, g_3, h_3, i_3, j_3