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小数乘法几何演示 by Balajothi T

小数乘法几何演示 by Balajothi T
几何画板及绘图内容加载中，请稍等……
2019-02-13 14:48
函数数列概率统计
该范例通过几何图形演示小数乘法的过程。核心数学概念包括乘法和小数。构造摘要中使用了Product, Mod, Sequence, Segment, Polygon等GeoGebra命令。适合小学高年级或初中学生学习小数乘法。

GeoGebra 命令及参数

  1. Product({0.12, m}) → o
  2. Product({o, 100}) → t
  3. Mod(t, 10) → u
  4. Sequence(Dilate[D, k, B], k, 0, 1, 0.1) → l1
  5. Sequence(Dilate[C, k, A], k, 0, 1, 0.1) → l2
  6. Sequence(Segment[Element[l1, k], Element[l2, k]], k, 1, 11) → l3
  7. Sequence(Dilate[B, k, A], k, 0, 1, 0.1) → l4
  8. Sequence(Dilate[D, k, C], k, 0, 1, 0.1) → l5
  9. Sequence(Segment[Element[l4, k], Element[l5, k]], k, 1, 11) → l6
  10. Sequence(Dilate[G, k, E], k, 0, 1, 0.1) → l7
  11. Sequence(Dilate[H, k, F], k, 0, 1, 0.1) → l8
  12. Sequence(Segment[Element[l7, k], Element[l8, k]], k, 1, 11) → l9
  13. Segment(E, G) → f
  14. Segment(H, F) → g
  15. Polygon(E, F, H, G) → q1, e, f_1, h, g_1
  16. Polygon(K, I, J, L) → q2, k, i, j, l
  17. Polygon(N, M, O, P) → q3, n_1, m_1, o_1, p
  18. Sequence(Dilate[Q, k, R], k, 0, 1, 0.1) → l10
  19. Sequence(Dilate[S, k, T], k, 0, 1, 0.1) → l11
  20. Sequence(Segment[Element[l10, k], Element[l11, k]], k, 1, 11) → l12
  21. Segment(R, Q) → q
  22. Segment(S, T) → r
  23. Polygon(Q, S, T, R) → q4, q_1, s, t_1, r_1
  24. Polygon(U, V, Z, W) → q5, u_1, v_1, z_1, w_1
  25. Polygon(A_1, B_1, D_1, C_1) → q6, a_1, b_1, d_1, c_1
  26. Sequence(Dilate[E_1, k, G_1], k, 0, 1, 0.1) → l13
  27. Sequence(Dilate[F_1, k, H_1], k, 0, 1, 0.1) → l14
  28. Sequence(Dilate[E_2, k, G_2], k, 0, 1, 0.1) → l13_1
  29. Sequence(Dilate[F_2, k, H_2], k, 0, 1, 0.1) → l14_1
  30. Sequence(Dilate[Q_1, k, R_1], k, 0, 1, 0.1) → l10_1
  31. Sequence(Dilate[S_1, k, T_1], k, 0, 1, 0.1) → l11_1
  32. Sequence(Dilate[Q_2, k, R_2], k, 0, 1, 0.1) → l10_2
  33. Sequence(Dilate[S_2, k, T_2], k, 0, 1, 0.1) → l11_2
  34. Sequence(Segment[Element[l10_2, k], Element[l11_2, k]], k, 1, 11) → l12_1
  35. Segment(R_2, Q_2) → q_2
  36. Segment(S_2, T_2) → r_2
  37. Polygon(Q_2, S_2, T_2, R_2) → q4_1, q_3, s_1, t_2, r_3
  38. Polygon(U_2, V_2, Z_2, W_2) → q5_1, u_2, v_2, z_2, w_2
  39. Polygon(A_3, B_3, D_3, C_3) → q6_1, a_2, b_2, d_2, c_2
  40. Sequence(Dilate[Q_3, k, R_3], k, 0, 1, 0.1) → l10_3
  41. Sequence(Dilate[S_3, k, T_3], k, 0, 1, 0.1) → l11_3
  42. Sequence(Segment[Element[l10_3, k], Element[l11_3, k]], k, 1, 11) → l12_2
  43. Segment(R_3, Q_3) → q_4
  44. Segment(S_3, T_3) → r_4
  45. Polygon(Q_3, S_3, T_3, R_3) → q4_2, q_5, s_2, t_3, r_5
  46. Polygon(U_3, V_3, Z_3, W_3) → q5_2, u_3, v_3, z_3, w_3
  47. Polygon(A_4, B_4, D_4, C_4) → q6_2, a_3, b_3, d_3, c_3
  48. Sequence(Dilate[Q_4, k, R_4], k, 0, 1, 0.1) → l10_4
  49. Sequence(Dilate[S_4, k, T_4], k, 0, 1, 0.1) → l11_4
  50. Sequence(Segment[Element[l10_4, k], Element[l11_4, k]], k, 1, 11) → l12_3
  51. Segment(R_4, Q_4) → q_6
  52. Segment(S_4, T_4) → r_6
  53. Polygon(Q_4, S_4, T_4, R_4) → q4_3, q_7, s_3, t_4, r_7
  54. Polygon(U_4, V_4, Z_4, W_4) → q5_3, u_4, v_4, z_4, w_4
  55. Polygon(A_5, B_5, D_5, C_5) → q6_3, a_4, b_4, d_4, c_4
  56. Polygon(A, B, I_1, J_1, K_1, L_1) → poly1, a, b, i_1, j_1, k_1, l_1