分数乘法演示 by benny varghese

分数乘法演示 by benny varghese
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2016-12-12 08:32
①本范例通过动态图形演示分数乘法的几何意义,直观展示分数相乘的过程与结果;②涉及核心数学概念包括分数运算、几何图形(线段、多边形)、坐标几何与变换;③作图要点运用了Line, Point, Segment, Polygon, Circle, Intersect, OrthogonalLine, Textfield等GeoGebra命令与对象,构建分数乘法的可视化模型;④适合初中及以上数学学习者,用于理解分数乘法原理及几何应用。

GeoGebra 命令及参数

  1. Line(A, B) → a_5
  2. Point(a_5) → C
  3. Point(a_5) → D
  4. Point(Circle[D, abs(size)]) → F
  5. Segment(D, F) → c_5
  6. Polygon(D, F, 4) → poly1, d, e, f, g, G, H
  7. Circle(H, i_1) → k
  8. Intersect(k, f) → I,
  9. Line(I, g) → j
  10. Intersect(j, a_5) → F_1
  11. Segment(I, F_1) → p_1
  12. Intersect(f, g) → R_1
  13. Polygon(A, Q_1, S_1, R_1) → poly2, a_3, q_2, s_2, r_2
  14. OrthogonalLine(U_1, a_5) → g_2
  15. Polygon(T_1, U_1, 4) → poly3, h_2, i_2, j_2, k_2, V_1, W_1
  16. Circle(U_1, z) → p_2
  17. Intersect(p_2, h_2) → Z_1,
  18. Circle(Z_1, z) → c_3
  19. Intersect(c_3, h_2) → A_2, B_2
  20. Circle(A_2, z) → d_3
  21. Intersect(d_3, h_2) → C_2, D_2
  22. Circle(C_2, z) → e_3
  23. Intersect(e_3, h_2, 1) → H_2
  24. Line(H_2, i_2) → m_3
  25. Line(A_2, i_2) → n_3
  26. Line(Z_1, i_2) → s_3
  27. Line(C_2, i_2) → t_3
  28. Intersect(j_2, m_3) → C_3
  29. Intersect(j_2, t_3) → D_3
  30. Intersect(j_2, n_3) → E_3
  31. Intersect(j_2, s_3) → F_3
  32. Segment(C_2, D_3) → a_4
  33. Segment(A_2, E_3) → b_4
  34. Segment(Z_1, F_3) → c_4
  35. Segment(H_2, C_3) → k_4
  36. Line(H_3, i_2) → l_4
  37. Line(V_1, W_1) → m_4
  38. Intersect(l_4, m_4) → I_3
  39. Polygon(B_2, V_1, I_3, H_3) → poly4, b_5, v_1, i_5, h_5
  40. Circle(I, i_1) → q
  41. Intersect(q, f) → J, K
  42. Circle(J, i_1) → r
  43. Intersect(r, f) → L, M
  44. Circle(L, i_1) → s
  45. Intersect(s, f) → N, O
  46. Circle(N, i_1) → d_1
  47. Intersect(d_1, f) → P, Q
  48. Circle(P, i_1) → e_1
  49. Intersect(e_1, f) → R, S
  50. Circle(R, i_1) → f_1
  51. Intersect(f_1, f) → T, U
  52. Circle(T, i_1) → g_1
  53. Intersect(g_1, f) → V, W
  54. Circle(V, i_1) → h_1
  55. Intersect(h_1, f) → Z, A_1
  56. Circle(Z, i_1) → k_1
  57. Intersect(k_1, f) → B_1, C_1
  58. Circle(B_1, Z) → q_1
  59. Intersect(q_1, f) → D_1, E_1
  60. Line(J, p_1) → i
  61. Line(L, i) → l
  62. Line(N, l) → m
  63. Line(P, m) → n
  64. Line(R, n) → a_1
  65. Line(T, a_1) → b_1
  66. Line(V, b_1) → j_1
  67. Line(Z, j_1) → l_1
  68. Line(B_1, l_1) → m_1
  69. Line(E_1, m_1) → n_1
  70. Intersect(i, a_5) → G_1
  71. Intersect(l, a_5) → H_1
  72. Intersect(m, a_5) → I_1
  73. Intersect(n, a_5) → J_1
  74. Intersect(a_1, a_5) → K_1
  75. Intersect(b_1, a_5) → L_1
  76. Intersect(j_1, a_5) → E
  77. Intersect(l_1, a_5) → M_1
  78. Intersect(m_1, a_5) → N_1
  79. Intersect(n_1, a_5) → O_1
  80. Segment(J, G_1) → p
  81. Segment(L, H_1) → r_1
  82. Segment(J, N) → s_1
  83. Segment(I_1, N) → t_1
  84. Segment(P, J_1) → a_2
  85. Segment(R, K_1) → b_2
  86. Segment(T, L_1) → c_2
  87. Segment(V, E) → d_2
  88. Segment(Z, M_1) → e_2
  89. Segment(B_1, N_1) → f_2
  90. Segment(E_1, O_1) → t_2
  91. Intersect(e_3, h_2) → P_1, E_2
  92. Circle(P_1, z) → f_3
  93. Intersect(f_3, h_2) → F_2, G_2
  94. Circle(F_2, z) → g_3
  95. Intersect(g_3, h_2) → I_2, J_2
  96. Circle(I_2, z) → h_3
  97. Intersect(h_3, h_2) → K_2, L_2
  98. Circle(K_2, z) → k_3
  99. Intersect(k_3, h_2) → M_2, N_2
  100. Circle(M_2, z) → p_3
  101. Intersect(p_3, h_2) → O_2, P_2
  102. Circle(O_2, z) → q_3
  103. Intersect(q_3, h_2) → Q_2, R_2
  104. Circle(Q_2, z) → r_3
  105. Intersect(r_3, h_2) → S_2, T_2
  106. Line(F_2, k_4) → l_2
  107. Line(I_2, l_2) → m_2
  108. Line(K_2, m_2) → n_2
  109. Line(M_2, n_2) → b_3
  110. Line(O_2, b_3) → i_3
  111. Line(Q_2, i_3) → j_3
  112. Line(S_2, j_3) → l_3
  113. Intersect(j_2, l_3) → U_2
  114. Intersect(j_2, j_3) → V_2
  115. Intersect(j_2, i_3) → W_2
  116. Intersect(j_2, b_3) → Z_2
  117. Intersect(j_2, n_2) → A_3
  118. Intersect(j_2, m_2) → B_3
  119. Intersect(j_2, l_2) → G_3
  120. Segment(F_2, G_3) → d_4
  121. Segment(I_2, B_3) → e_4
  122. Segment(K_2, A_3) → f_4
  123. Segment(M_2, Z_2) → g_4
  124. Segment(O_2, W_2) → h_4
  125. Segment(Q_2, V_2) → i_4
  126. Segment(S_2, U_2) → j_4
  127. Segment(J_3, K_3) → n_4
  128. Textfield(o) → inputBox1
  129. Textfield(h) → inputBox2
  130. Textfield(w) → inputBox3
  131. Textfield(t) → inputBox4
  132. Segment(J_4, K_4) → n_5