星星计数:1到13得分

星星计数:1到13得分
几何画板及绘图内容加载中,请稍等……
2017-12-30 23:17
所属专题 Math Scored Practice
①本范例演示了如何通过随机生成星星形状并计数,从1到13的得分过程;②涉及的核心数学概念包括概率统计、随机实验和几何作图;③作图要点——从下方『构造摘要』提炼用到了Random(随机)、Polygon(多边形)、Intersect(相交)、Text(文本)等GeoGebra命令/对象;④适合高中阶段学习概率统计和几何作图的学生,也可用于数学兴趣小组的活动。

GeoGebra 命令及参数

  1. Random(1, 13) → r
  2. Polygon(A, B, C, D, E) → star, a, b, c, d, e
  3. Intersect(d, a) → F
  4. Intersect(a, c) → G
  5. Intersect(c, e) → H
  6. Intersect(b, e) → I
  7. Intersect(b, d) → J
  8. Polygon(A_1, B_1, C_1, D_1, E_1) → star_1, a_1, b_1, c_1, d_1, e_1
  9. Intersect(d_1, a_1) → F_1
  10. Intersect(a_1, c_1) → G_1
  11. Intersect(c_1, e_1) → H_1
  12. Intersect(b_1, e_1) → I_1
  13. Intersect(b_1, d_1) → J_1
  14. Polygon(A_2, B_2, C_2, D_2, E_2) → star_2, a_2, b_2, c_2, d_2, e_2
  15. Intersect(d_2, a_2) → F_2
  16. Intersect(a_2, c_2) → G_2
  17. Intersect(c_2, e_2) → H_2
  18. Intersect(b_2, e_2) → I_2
  19. Intersect(b_2, d_2) → J_2
  20. Polygon(A_3, B_3, C_3, D_3, E_3) → star_3, a_3, b_3, c_3, d_3, e_3
  21. Intersect(d_3, a_3) → F_3
  22. Intersect(a_3, c_3) → G_3
  23. Intersect(c_3, e_3) → H_3
  24. Intersect(b_3, e_3) → I_3
  25. Intersect(b_3, d_3) → J_3
  26. Polygon(A_4, B_4, C_4, D_4, E_4) → star_4, a_4, b_4, c_4, d_4, e_4
  27. Intersect(d_4, a_4) → F_4
  28. Intersect(a_4, c_4) → G_4
  29. Intersect(c_4, e_4) → H_4
  30. Intersect(b_4, e_4) → I_4
  31. Intersect(b_4, d_4) → J_4
  32. Polygon(A_5, B_5, C_5, D_5, E_5) → star_5, a_5, b_5, c_5, d_5, e_5
  33. Intersect(d_5, a_5) → F_5
  34. Intersect(a_5, c_5) → G_5
  35. Intersect(c_5, e_5) → H_5
  36. Intersect(b_5, e_5) → I_5
  37. Intersect(b_5, d_5) → J_5
  38. Polygon(A_6, B_6, C_6, D_6, E_6) → star_6, a_6, b_6, c_6, d_6, e_6
  39. Intersect(d_6, a_6) → F_6
  40. Intersect(a_6, c_6) → G_6
  41. Intersect(c_6, e_6) → H_6
  42. Intersect(b_6, e_6) → I_6
  43. Intersect(b_6, d_6) → J_6
  44. Polygon(A_7, B_7, C_7, D_7, E_7) → star_7, a_7, b_7, c_7, d_7, e_7
  45. Intersect(d_7, a_7) → F_7
  46. Intersect(a_7, c_7) → G_7
  47. Intersect(c_7, e_7) → H_7
  48. Intersect(b_7, e_7) → I_7
  49. Intersect(b_7, d_7) → J_7
  50. Polygon(A_8, B_8, C_8, D_8, E_8) → star_8, a_8, b_8, c_8, d_8, e_8
  51. Intersect(d_8, a_8) → F_8
  52. Intersect(a_8, c_8) → G_8
  53. Intersect(c_8, e_8) → H_8
  54. Intersect(b_8, e_8) → I_8
  55. Intersect(b_8, d_8) → J_8
  56. Polygon(A_9, B_9, C_9, D_9, E_9) → star_9, a_9, b_9, c_9, d_9, e_9
  57. Intersect(d_9, a_9) → F_9
  58. Intersect(a_9, c_9) → G_9
  59. Intersect(c_9, e_9) → H_9
  60. Intersect(b_9, e_9) → I_9
  61. Intersect(b_9, d_9) → J_9
  62. Polygon(A_{10}, B_{10}, C_{10}, D_{10}, E_{10}) → star_{10}, a_{10}, b_{10}, c_{10}, d_{10}, e_{10}
  63. Intersect(d_{10}, a_{10}) → F_{10}
  64. Intersect(a_{10}, c_{10}) → G_{10}
  65. Intersect(c_{10}, e_{10}) → H_{10}
  66. Intersect(b_{10}, e_{10}) → I_{10}
  67. Intersect(b_{10}, d_{10}) → J_{10}
  68. Polygon(A_{11}, B_{11}, C_{11}, D_{11}, E_{11}) → star_{11}, a_{11}, b_{11}, c_{11}, d_{11}, e_{11}
  69. Intersect(d_{11}, a_{11}) → F_{11}
  70. Intersect(a_{11}, c_{11}) → G_{11}
  71. Intersect(c_{11}, e_{11}) → H_{11}
  72. Intersect(b_{11}, e_{11}) → I_{11}
  73. Intersect(b_{11}, d_{11}) → J_{11}
  74. Polygon(A_{12}, B_{12}, C_{12}, D_{12}, E_{12}) → star_{12}, a_{12}, b_{12}, c_{12}, d_{12}, e_{12}
  75. Intersect(d_{12}, a_{12}) → F_{12}
  76. Intersect(a_{12}, c_{12}) → G_{12}
  77. Intersect(c_{12}, e_{12}) → H_{12}
  78. Intersect(b_{12}, e_{12}) → I_{12}
  79. Intersect(b_{12}, d_{12}) → J_{12}
  80. Text(score) → text1
  81. Text(try) → text4
  82. Text(prev) → text6

AI 绘图提示语参考

绘制13颗五角星,每颗五角星由5个顶点组成,随机生成五角星的位置和大小。首先生成一个1到13之间的随机数,然后根据这个随机数绘制一颗五角星,重复此过程13次,每次绘制时确保五角星之间不重叠。
以上提示语为根据原始绘图命令整理而来,仅供参考。