等分数 by Ng Hwee Hwee

等分数 by Ng Hwee Hwee
几何画板及绘图内容加载中,请稍等……
2015-08-04 11:41
该范例通过比较分母为2、4、5、10、20和25的分数与其等价的分母为100的分数,帮助学生理解分数的等值性。涉及的核心数学概念包括分数的基本性质。通过使用GeoGebra命令如Intersect、Point、Polygon等进行构造。适合小学高年级及初中学生学习分数转换。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Polygon(A, B, 4) → poly1, a, b, c, d, C, D
  4. Midpoint(A, D) → E
  5. Midpoint(C, B) → F
  6. Midpoint(B, A) → G
  7. Midpoint(C, D) → H
  8. Segment(H, G) → e
  9. Segment(E, F) → f
  10. Point(d) → I
  11. Segment(I, J) → g
  12. Point(d) → K
  13. Segment(K, L) → h
  14. Point(d) → M
  15. Point(b) → N
  16. Segment(M, N) → i
  17. Point(d) → O
  18. Point(b) → P
  19. Segment(O, P) → j
  20. Point(d) → Q
  21. Segment(Q, R) → k
  22. Point(d) → S
  23. Point(b) → T
  24. Segment(S, T) → l
  25. Point(d) → U
  26. Point(b) → V
  27. Segment(U, V) → m
  28. Point(d) → W
  29. Point(b) → Z
  30. Segment(W, Z) → n
  31. Point(c) → A_1
  32. Segment(A_1, B_1) → p
  33. Point(c) → C_1
  34. Point(a) → D_1
  35. Segment(C_1, D_1) → q
  36. Point(c) → E_1
  37. Point(a) → F_1
  38. Segment(E_1, F_1) → r
  39. Point(c) → G_1
  40. Point(a) → H_1
  41. Segment(G_1, H_1) → s
  42. Point(c) → I_1
  43. Point(a) → J_1
  44. Segment(I_1, J_1) → t
  45. Point(c) → K_1
  46. Segment(K_1, L_1) → a_1
  47. Point(c) → M_1
  48. Point(a) → N_1
  49. Segment(M_1, N_1) → b_1
  50. Point(c) → O_1
  51. Point(a) → P_1
  52. Segment(O_1, P_1) → c_1
  53. Point(yAxis) → Q_1
  54. Point(yAxis) → R_1
  55. Segment(Q_1, R_1) → d_1
  56. OrthogonalLine(R_1, d_1) → e_1
  57. Point(e_1) → MOVE
  58. Line(MOVE, d_1) → f_1
  59. Mirror(MOVE, f_1) → T_1
  60. Mirror(A, f_1) → A'
  61. Mirror(B, f_1) → B'
  62. Mirror(C, f_1) → C'
  63. Mirror(D, f_1) → D'
  64. Polygon(B', A', D', C') → poly2, b', a', d', c'
  65. Midpoint(C', D') → Z_1
  66. Midpoint(B', A') → A_2
  67. Midpoint(C', B') → B_2
  68. Midpoint(D', A') → C_2
  69. Segment(Z_1, A_2) → i_1
  70. Segment(B_2, C_2) → j_1
  71. Segment(Z_1, A_2) → k_1
  72. Midpoint(A_2, B') → I_2
  73. Point(d') → D_2
  74. Point(b') → E_2
  75. Segment(D_2, E_2) → l_1
  76. Point(d') → F_2
  77. Point(b') → G_2
  78. Segment(F_2, G_2) → m_1
  79. Point(d') → H_2
  80. Point(b') → J_2
  81. Segment(H_2, J_2) → n_1
  82. Point(d') → K_2
  83. Point(b') → L_2
  84. Segment(K_2, L_2) → p_1
  85. Point(c') → M_2
  86. Point(a') → N_2
  87. Segment(M_2, N_2) → q_1
  88. Point(c') → O_2
  89. Point(a') → P_2
  90. Segment(O_2, P_2) → r_1
  91. Point(c') → Q_2
  92. Point(a') → R_2
  93. Segment(Q_2, R_2) → s_1
  94. Point(c') → S_2
  95. Point(a') → T_2
  96. Segment(S_2, T_2) → t_1
  97. Segment(M_2, N_2) → a_2
  98. Segment(O_2, P_2) → b_2
  99. Segment(Q_2, R_2) → c_2
  100. Segment(S_2, T_2) → d_2
  101. Segment(M_2, N_2) → e_2
  102. Point(c') → U_2
  103. Point(a') → V_2
  104. Segment(O_2, P_2) → g_2
  105. Point(c') → W_2
  106. Segment(Q_2, R_2) → i_2
  107. Point(c') → A_3
  108. Point(a') → B_3
  109. Segment(S_2, T_2) → k_2
  110. Point(c') → C_3
  111. Point(a') → D_3
  112. Point(d') → G_3
  113. Segment(M_2, N_2) → h_2
  114. Segment(U_2, V_2) → j_2
  115. Segment(O_2, P_2) → l_2
  116. Segment(Q_2, R_2) → n_2
  117. Segment(A_3, B_3) → p_2
  118. Segment(S_2, T_2) → q_2
  119. Segment(C_3, D_3) → t_2
  120. Point(b') → U_1
  121. Segment(G_3, U_1) → g_1
  122. Point(b') → V_1
  123. Segment(G_3, V_1) → h_1
  124. Point(a') → W_1
  125. Segment(W_2, W_1) → f_2
  126. Point(c') → I_3
  127. Point(a') → J_3
  128. Segment(I_3, J_3) → m_2
  129. Point(d') → width
  130. Point(c') → length
  131. OrthogonalLine(width, d') → r_2
  132. OrthogonalLine(length, c') → s_2
  133. Intersect(r_2, s_2) → L_3
  134. Polygon(length, L_3, width, C') → poly3, k_3, l_3, s_3, c'_1

AI 绘图提示语参考

画一个坐标系,在x轴和y轴上各画一个点,以这两个点和原点构成一个正方形。在正方形内部画两条线段,将正方形分成四个小三角形。再在正方形外部画多个线段,连接正方形的顶点和一些新的点,形成多个不同的图形,展示分数的等价关系。
以上提示语为根据原始绘图命令整理而来,仅供参考。