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统计概率与几何作图：数据分析与图形构造

统计概率与几何作图：数据分析与图形构造
几何画板及绘图内容加载中，请稍等……
2024-09-26 13:21
解析几何几何作图
所属专题 Kreuztabellen
该范例通过交叉表格展示青少年智能手机使用时长与用途数据，引导学生分析百分比、相对频率及关联性。核心数学概念包括统计概率、交叉表格解读与数据可视化。作图要点涉及使用GeoGebra命令如Textfield、Distance、Polygon等构建交互式图表。适合中学7-8年级学生，用于培养数据分析能力与几何作图技能。

GeoGebra 命令及参数

  1. Textfield(input17) → Eingabefeld17
  2. Textfield(input16) → Eingabefeld16
  3. Textfield(input6a) → Eingabefeld6a
  4. Textfield(input4a) → Eingabefeld4a
  5. TextToUnicode(("" * input6a)) → input6aText
  6. TextToUnicode(("" * input4a)) → input4aText
  7. TextToUnicode(("" * input15a)) → input15aText
  8. Textfield(input15a) → Eingabefeld15a
  9. Textfield(input15) → Eingabefeld15
  10. Textfield(input6) → Eingabefeld6
  11. Textfield(input4) → Eingabefeld4
  12. Distance(A0, Ay1) → asizey
  13. Point(Line[A0, xAxis]) → Ax1
  14. Point(Line[Ax1, xAxis]) → Ax2
  15. Textfield(input12) → Eingabefeld12
  16. Textfield(input11) → Eingabefeld11
  17. Textfield(input10) → Eingabefeld10
  18. Textfield(input9) → Eingabefeld9
  19. Textfield(input8) → Eingabefeld8
  20. Textfield(input7) → Eingabefeld7
  21. Textfield(input5) → Eingabefeld5
  22. SelectedIndex(DropDown13) → input13
  23. Polygon(Ax3, Ax4, (x(Ax4), y(Ay1)), (x(Ax3), y(Ay1))) → vA3, ax3, ax4, j, k
  24. Polygon(Ax1, Ax2, (x(Ax2), y(Ay1)), (x(Ax1), y(Ay1))) → vA2, ax1, ax2, h, i
  25. Polygon(Ay2, Ay3, (x(Ax1), y(Ay3)), (x(Ax1), y(Ay2))) → vA1, ay2, ay3, f, g
  26. Midpoint(Corner[TextA3, 1], Corner[TextA3, 3]) → M3
  27. Midpoint(Corner[TextA1, 1], Corner[TextA1, 3]) → M1
  28. Distance(A0, Ax1) → asizex
  29. Midpoint(Corner[TextA2, 1], Corner[TextA2, 3]) → M2
  30. Element({1, 2, 3, 4, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, step2) → step
  31. If(step ≤ 5, C1, C2) → SB3
  32. Point(Line[SB3, yAxis]) → SB1
  33. LaTeX(step, true, true) → TextStep
  34. Join({{Segment[Ax1, Ax4], Segment[Ay1, Ay4]}, Zip[Segment[P, P + (0, (-4 * asizey))], P, {Ax1, Ax2, Ax3, Ax4}], Zip[Segment[P, (x(Ax4), y(P))], P, Sequence[A0 + (0, ((-m) * asizey)), m, 1, 4]]}) → grid1
  35. Point(Line[Val1, xAxis]) → Val2
  36. If(step ≤ 5, D1, D2) → SB4
  37. Element({false, false, false, input15a ≟ (100 * sol15a), input4a ≟ (100 * sol4a), input6a ≟ (100 * sol6a), input7 ≟ 35, input8 ≟ 35, input9 ≟ 20, input10 ≟ 45, input11 ≟ 55, input12 ≟ 100, false}, step2) → showhint5a
  38. Intersect(correct1 = input11, correct1 = 0.55) → A
  39. Intersect(correct1 = input11, correct1 = 0.55) → B
  40. Point(Line[Controller1, xAxis]) → Controller2
  41. If(step ≟ 2, A0 + (0, -1.5), A0 + (0, -1.26)) → Ay1test
  42. Polygon(A0, Ax4, (x(Ax4), y(Ay4)), Ay4) → vA, a0, l, m, ay4
  43. Point(Line[(0, 0), yAxis]) → A0Start
  44. Point(Line[(0, 0), yAxis]) → A0Ende
  45. Point(Line[SB3, yAxis]) → SB5
  46. Point(Line[SB3, yAxis]) → SB6
  47. Point(Line[SB3, yAxis]) → SB7
  48. Polygon(Ay2, Ay3, (x(Ax1), y(Ay3)), (x(Ax1), y(Ay2))) → b1, n, p, q, r
  49. Polygon(Ax1, Ax2, (x(Ax2), y(Ay1)), (x(Ax1), y(Ay1))) → b2, s, t, a, b
  50. Polygon((x(Ax1), y(Ay1)), (x(Ax1), y(Ay2)), (x(Ax2), y(Ay2)), (x(Ax2), y(Ay1))) → b3, c, d, e, f_1
  51. Polygon((x(Ax1), y(Ay2)), (x(Ax1), y(Ay3)), (x(Ax2), y(Ay3)), (x(Ax2), y(Ay2))) → b4, g_1, h_1, i_1, j_1
  52. Polygon((x(Ax1), y(Ay4)), (x(Ax1), y(Ay3)), (x(Ax2), y(Ay3)), (x(Ax2), y(Ay4))) → b5, k_1, l_1, m_1, n_1
  53. Polygon((x(Ax3), y(Ay1)), (x(Ax3), y(Ay2)), (x(Ax2), y(Ay2)), (x(Ax2), y(Ay1))) → b6, p_1, q_1, r_1, s_1
  54. Polygon((x(Ax3), y(Ay2)), (x(Ax3), y(Ay3)), (x(Ax2), y(Ay3)), (x(Ax2), y(Ay2))) → b7, t_1, a_1, b_1, c_1
  55. Polygon((x(Ax3), y(Ay4)), (x(Ax3), y(Ay3)), (x(Ax2), y(Ay3)), (x(Ax2), y(Ay4))) → b8, d_1, e_1, f_2, g_2
  56. Polygon(Ax3, Ax4, (x(Ax4), y(Ay1)), (x(Ax3), y(Ay1))) → b9, h_2, i_2, j_2, k_2
  57. Polygon((x(Ax3), y(Ay1)), (x(Ax3), y(Ay2)), (x(Ax4), y(Ay2)), (x(Ax4), y(Ay1))) → b10, l_2, m_2, n_2, p_2
  58. Polygon((x(Ax3), y(Ay2)), (x(Ax3), y(Ay3)), (x(Ax4), y(Ay3)), (x(Ax4), y(Ay2))) → b11, q_2, r_2, s_2, t_2
  59. Polygon((x(Ax3), y(Ay4)), (x(Ax3), y(Ay3)), (x(Ax4), y(Ay3)), (x(Ax4), y(Ay4))) → b12, a_2, b_2, c_2, d_2
  60. Point(Line[Birne1, xAxis]) → Birne2
  61. Point(Line[Val5, xAxis]) → Val6
  62. Join({{Ay2 + (0.1, -0.1)}, Sequence[Ax1 + ((0.5 * asizex), ((-m) * asizey) - 0.1), m, 0, 3], Sequence[Ax2 + ((0.5 * asizex), ((-m) * asizey) - 0.1), m, 1, 3], Sequence[Ax3 + ((0.5 * asizex), ((-m) * asizey) - 0.1), m, 0, 3]}) → listMPoints
  63. Zip(A0 + (m, 2.5), m, {2, 4.65, 8}) → listPos0
  64. Join({Sequence[Segment[Corner[4] + (RasterPixMat * ((k * RasterStepXY), 0)), Corner[4] + (RasterPixMat * ((k * RasterStepXY), RasterMaxY))], k, RasterMaxX / RasterStepXY, RasterMaxX / RasterStepXY], Sequence[Segment[Corner[4] + (RasterPixMat * (0, (k * RasterStepXY))), Corner[4] + (RasterPixMat * (RasterMaxX, (k * RasterStepXY)))], k, RasterMaxY / RasterStepXY, RasterMaxY / RasterStepXY]}) → RasterAussen

AI 绘图提示语参考

创建一个交互式统计数据可视化图表，展示青少年智能手机使用情况分析。画面包含多个文本输入框用于数据录入，一个下拉菜单用于选择分析步骤。图表主体为水平与垂直两种方向的条形图，分别表示不同用途的使用时间数据。坐标轴系统清晰标注x轴为用途类别，y轴为时间或百分比。图表周围绘制有参考网格线便于读数。底部或侧边显示当前分析步骤编号，使用LaTeX格式呈现。整个界面设计用于帮助中学生理解概率、数据解释和可视化的数学概念，通过交互方式探索交叉表格数据。
以上提示语为根据原始绘图命令整理而来，仅供参考。