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硬币计数

硬币计数
几何画板及绘图内容加载中，请稍等……
2020-07-06 10:16
函数三角函数解析几何概率统计几何作图
①本范例演示了使用 GeoGebra 绘制和计数不同面值的硬币（如分币、一角币等）的图形现象；②涉及的核心数学概念包括加法运算、解析几何、几何作图和概率统计；③作图要点提炼了 Point, Ellipse, Tangent, Intersect, Segment, pennycenter, Polygon, Mirror, Shuffle, Take, If 等GeoGebra命令和对象的使用；④适合初中及以上学段，用于教授货币计算、几何图形绘制和概率统计基础知识的实践应用。

GeoGebra 命令及参数

  1. Point(xAxis) → A
  2. Point(xAxis) → D
  3. Ellipse(K - (2, 5), K - (0 - 2, 5), 3.5) → p
  4. Ellipse(L - (2, 5), L - (0 - 2, 5), 3.5) → q
  5. Tangent(K, p) → n, r
  6. Tangent(L, q) → s, t
  7. Intersect(p, n) → N
  8. Intersect(p, r) → O
  9. Intersect(q, s) → P
  10. Intersect(q, t) → Q
  11. Segment(K, N) → a_1
  12. Segment(O, K) → b_1
  13. pennycenter(R_{11}, pennysize) → T
  14. pennycenter(R_{13}, pennysize) → U
  15. pennycenter(R_{14}, pennysize) → V
  16. pennycenter(R_{15}, pennysize) → W
  17. pennycenter(R_{16}, pennysize) → Z
  18. pennycenter(R_{10}, pennysize) → A_1
  19. pennycenter(R_{17}, pennysize) → B_1
  20. pennycenter(R_{18}, pennysize) → C_1
  21. pennycenter(R_{19}, pennysize) → D_1
  22. pennycenter(R_1, pennysize) → E_1
  23. pennycenter(R_2, pennysize) → F_1
  24. pennycenter(R_3, pennysize) → G_1
  25. pennycenter(R_4, pennysize) → H_1
  26. pennycenter(R_5, pennysize) → I_1
  27. pennycenter(R_6, pennysize) → J_1
  28. pennycenter(R_7, pennysize) → K_1
  29. pennycenter(R_8, pennysize) → L_1
  30. pennycenter(R_9, pennysize) → M_1
  31. pennycenter(R_{12}, pennysize) → N_1
  32. pennycenter(O_1, nickelsize) → Q_1
  33. pennycenter(O_2, nickelsize) → T_1
  34. pennycenter(O_3, nickelsize) → U_1
  35. pennycenter(O_4, nickelsize) → V_1
  36. pennycenter(O_5, nickelsize) → W_1
  37. pennycenter(O_6, nickelsize) → Z_1
  38. pennycenter(O_7, nickelsize) → A_2
  39. pennycenter(O_8, nickelsize) → B_2
  40. pennycenter(O_9, nickelsize) → C_2
  41. pennycenter(O_{10}, nickelsize) → D_2
  42. pennycenter(O_{11}, nickelsize) → E_2
  43. pennycenter(O_{12}, nickelsize) → F_2
  44. pennycenter(O_{13}, nickelsize) → G_2
  45. pennycenter(O_{14}, nickelsize) → H_2
  46. pennycenter(O_{15}, nickelsize) → I_2
  47. pennycenter(O_{16}, nickelsize) → J_2
  48. pennycenter(O_{17}, nickelsize) → K_2
  49. pennycenter(O_{18}, nickelsize) → L_2
  50. pennycenter(O_{19}, nickelsize) → M_2
  51. pennycenter(O_{20}, nickelsize) → N_2
  52. Point(xAxis) → C_4
  53. Polygon(U_2, V_2, G_3, H_3, I_3, J_3, K_3, L_3, M_3, N_3, U_3, V_3, W_2, W_3, Z_3, A_4, B_4, C_4, D_4, E_4, F_4, G_4, H_4, Z_2, I_4, J_4, A_3, B_3, C_3, D_3, E_3, F_3) → poly4, u_2, f_3, g_3, h_3, i_3, j_3, k_3, l_3, m_3, n_3, u_3, v_2, v_3, w_3, z_3, a_4, b_4, c_4, d_4, e_4, f_4, g_4, w_2, h_4, i_4, j_4, z_2, a_3, b_3, c_3, d_3, e_3
  54. Mirror(Rpig, x = -15) → Lpig
  55. Mirror(U_2, x = -15) → K_4
  56. Mirror(V_2, x = -15) → L_4
  57. Mirror(W_2, x = -15) → M_4
  58. Mirror(Z_2, x = -15) → N_4
  59. Mirror(A_3, x = -15) → Q_4
  60. Mirror(B_3, x = -15) → T_4
  61. Mirror(C_3, x = -15) → U_4
  62. Mirror(D_3, x = -15) → V_4
  63. Mirror(E_3, x = -15) → W_4
  64. Mirror(F_3, x = -15) → Z_4
  65. Mirror(G_3, x = -15) → A_5
  66. Mirror(H_3, x = -15) → B_5
  67. Mirror(I_3, x = -15) → C_5
  68. Mirror(J_3, x = -15) → D_5
  69. Mirror(K_3, x = -15) → E_5
  70. Mirror(L_3, x = -15) → F_5
  71. Mirror(M_3, x = -15) → G_5
  72. Mirror(N_3, x = -15) → H_5
  73. Mirror(U_3, x = -15) → I_5
  74. Mirror(V_3, x = -15) → J_5
  75. Mirror(W_3, x = -15) → K_5
  76. Mirror(Z_3, x = -15) → L_5
  77. Mirror(A_4, x = -15) → M_5
  78. Mirror(B_4, x = -15) → N_5
  79. Mirror(C_4, x = -15) → Q_5
  80. Mirror(D_4, x = -15) → T_5
  81. Mirror(E_4, x = -15) → U_5
  82. Mirror(F_4, x = -15) → V_5
  83. Mirror(G_4, x = -15) → W_5
  84. Mirror(H_4, x = -15) → Z_5
  85. Mirror(I_4, x = -15) → A_6
  86. Mirror(J_4, x = -15) → B_6
  87. Polygon(K_4, L_4, A_5, B_5, C_5, D_5, E_5, F_5, G_5, H_5, I_5, J_5, M_4, K_5, L_5, M_5, N_5, Q_5, T_5, U_5, V_5, W_5, Z_5, N_4, A_6, B_6, Q_4, T_4, U_4, V_4, W_4, Z_4) → poly4', k_4, z_4, a_5, b_5, c_5, d_5, e_5, f_5, g_5, h_5, i_5, l_4, j_5, k_5, l_5, m_5, n_5, q_5, t_5, u_5, v_5, w_5, m_4, z_5, a_6, b_6, n_4, q_4, t_4, u_4, v_4, w_4
  88. pennycenter(E_6, dimesize) → D_6
  89. pennycenter(E_7, dimesize) → F_6
  90. pennycenter(E_8, dimesize) → G_6
  91. pennycenter(E_9, dimesize) → H_6
  92. pennycenter(E_{10}, dimesize) → I_6
  93. pennycenter(E_{11}, dimesize) → J_6
  94. pennycenter(E_{12}, dimesize) → K_6
  95. pennycenter(E_{13}, dimesize) → L_6
  96. pennycenter(E_{14}, dimesize) → M_6
  97. pennycenter(E_{15}, dimesize) → N_6
  98. pennycenter(E_{16}, dimesize) → Q_6
  99. pennycenter(E_{17}, dimesize) → T_6
  100. pennycenter(E_{18}, dimesize) → U_6
  101. pennycenter(E_{19}, dimesize) → V_6
  102. pennycenter(E_{21}, dimesize) → W_6
  103. pennycenter(E_{22}, dimesize) → Z_6
  104. pennycenter(E_{23}, dimesize) → A_7
  105. pennycenter(E_{24}, dimesize) → B_7
  106. pennycenter(E, dimesize) → D_7
  107. pennycenter(E_{20}, dimesize) → F_7
  108. pennycenter(G_7, quartersize) → I_7
  109. pennycenter(G_{10}, quartersize) → J_7
  110. pennycenter(G_9, quartersize) → K_7
  111. pennycenter(G_8, quartersize) → L_7
  112. pennycenter(G_{14}, quartersize) → M_7
  113. pennycenter(G_{13}, quartersize) → N_7
  114. pennycenter(G_{12}, quartersize) → Q_7
  115. pennycenter(G_{11}, quartersize) → T_7
  116. pennycenter(G_{18}, quartersize) → U_7
  117. pennycenter(G_{17}, quartersize) → V_7
  118. pennycenter(G_{16}, quartersize) → W_7
  119. pennycenter(G_{15}, quartersize) → Z_7
  120. pennycenter(G_{19}, quartersize) → A_8
  121. pennycenter(G_{20}, quartersize) → B_8
  122. pennycenter(G_{21}, quartersize) → D_8
  123. pennycenter(G_{22}, quartersize) → F_8
  124. pennycenter(G_{23}, quartersize) → I_8
  125. pennycenter(G_{24}, quartersize) → J_8
  126. pennycenter(G_{25}, quartersize) → K_8
  127. pennycenter(G_{26}, quartersize) → L_8
  128. Shuffle(Remove[Flatten[Sequence[Sequence[Point[{i, j}], i, -32, -22, 3], j, 8, 0, -3]], {(-32, 8), (-23, 2)}]) → leftbanklist, {(-29, 8), (-26, 2), (-32, 2), (-23, 5), (-26, 8), (-23, 8), (-29, 5), (-32, 5), (-26, 5), (-29, 2)}
  129. Shuffle(Remove[Flatten[Sequence[Sequence[Point[{i, j}], i, -9, 0, 3], j, 8, 0, -3]], {(0, 2), (0, 8)}]) → rightbanklist, {(-6, 2), (-9, 2), (-3, 8), (-6, 5), (-3, 5), (0, 5), (-6, 8), (-9, 5), (-3, 2), (-9, 8)}
  130. Take(Shuffle[Flatten[Sequence[Remove[Unique[{If[d, "P"], If[e, "N"], If[f, "D"], If[g, "Q"]}], {""}], i, 1, 10]]], 1, Random[3, 10]) → bank1
  131. Take(Shuffle[Flatten[Sequence[Remove[Unique[{If[d, "P"], If[e, "N"], If[f, "D"], If[g, "Q"]}], {""}], i, 1, 10]]], 1, Random[3, 10]) → bank2
  132. If(Rtotal ≟ 0, "0¢", If[Rtotal < 100, Rtotal + "¢", "$" + Rhundreds + "." + Rtens + Rones]) → text2
  133. If(Ltotal ≟ 0, "0¢", If[Ltotal < 100, Ltotal + "¢", "$" + Lhundreds + "." + Ltens + Lones]) → text1