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直方图与频率多边形的关系

直方图与频率多边形的关系
几何画板及绘图内容加载中，请稍等……
2016-10-24 08:47
概率统计几何作图函数图像
①本范例演示了直方图与频率多边形如何表示同一组数据的不同图形方式；②涉及的核心数学概念包括数据分布、频率、几何作图；③作图要点——使用了OrthogonalLine（正交线）、Point（点）、AttachCopyToView（视图附着）、Polygon（多边形）、Midpoint（中点）、PolyLine（多段线）、Line（线）等GeoGebra命令/对象；④适合高中数学教学，用于理解统计图表的转换与比较。

GeoGebra 命令及参数

  1. OrthogonalLine(E_3, xAxis) → f_2
  2. Point(f_2) → A_3
  3. Point(f_2) → G_2
  4. AttachCopyToView(PolyLine[(NaN, NaN), (22.094214551897867, -0.05850817042635832), (22.094214551897867, -0.21819981491899154), (22.11364937414149, -0.33796854828846645), (22.133084196385116, -0.45773728165794136), (22.152519018628738, -0.5775060150274163), (22.152519018628738, -0.7371976595200495), (22.210823485359608, -0.8170434817663661), (22.230258307603233, -0.6573518372737328), (22.249693129846854, -0.5375831039042579), (22.288562774334103, -0.41781437053478304), (22.307997596577724, -0.29804563716530813), (22.32743241882135, -0.13835399267267492), (22.346867241064974, -0.018585259303200024), (22.366302063308595, 0.10118347406627488), (22.38573688555222, 0.22095220743574978), (22.405171707795844, 0.3407209408052247), (22.424606530039465, 0.4604896741746996), (22.44404135228309, 0.5802584075441745), (22.50234581901396, 0.6201813186673328), (22.521780641257582, 0.5004125852978579), (22.521780641257582, 0.3407209408052247), (22.541215463501207, 0.22095220743574978), (22.580085107988452, 0.10118347406627488), (22.599519930232077, -0.05850817042635832), (22.599519930232077, -0.21819981491899154), (22.638389574719323, -0.09843108154951663), (22.638389574719323, 0.06126056294311658), (22.657824396962948, 0.22095220743574978), (22.677259219206572, 0.10118347406627488), (22.696694041450193, -0.05850817042635832), true], 1, (12.84323916393311, -2.4538828378158564), (38.866466148144895, 19.902947391152793), (91.84771873479707, 525.4655286596177), (1430.8477187347983, -34.53447134038237)) → stroke1
  5. Point(xAxis) → B_3
  6. Point(xAxis) → H_2
  7. Point(xAxis) → J_2
  8. Point(xAxis) → K
  9. Point(xAxis) → L
  10. Point(xAxis) → M
  11. Point(xAxis) → N
  12. Point(xAxis) → O
  13. Point(xAxis) → P
  14. Point(xAxis) → Q
  15. Polygon(B_3, R, S, H_2) → poly1, b_1, r, s, h
  16. Point(s) → T
  17. Polygon(H_2, T, U, J_2) → poly2, h_1, t, u, j
  18. Polygon(J_2, V, W, K) → poly3, j_1, v, w, k_2
  19. Point(w) → Z
  20. Polygon(K, Z, A_1, L) → poly4, k_1, z_1, a_1, l
  21. Point(a_1) → B_1
  22. Polygon(L, B_1, C_1, M) → poly5, l_1, b_2, c_1, m_1
  23. Polygon(M, D_1, E_1, N) → poly6, m_2, d_1, e_1, n_1
  24. Polygon(N, E_1, F_1, O) → poly7, n_2, e_2, f_1, o
  25. Point(f_1) → G_1
  26. Polygon(O, G_1, H_1, P) → poly8, o_1, g_1, h_2, p_1
  27. Polygon(H_1, I_1, Q, P) → poly9, h_3, i_1, q_1, p_2
  28. Midpoint(r) → J_1
  29. Midpoint(v) → K_1
  30. Midpoint(t) → L_1
  31. Midpoint(z_1) → M_1
  32. Midpoint(b_2) → N_1
  33. Midpoint(d_1) → O_1
  34. Midpoint(e_2) → P_1
  35. Midpoint(g_1) → Q_1
  36. Midpoint(h_3) → R_1
  37. Point(xAxis) → S_1
  38. Point(xAxis) → J
  39. PolyLine(S_1, J_1, J, L_1, K_1, M_1, N_1, O_1, P_1, Q_1, R_1) → g
  40. Midpoint(B_3, H_2) → A
  41. Midpoint(H_2, J_2) → B
  42. Midpoint(J_2, K) → C
  43. Midpoint(K, L) → D
  44. Midpoint(L, M) → E
  45. Midpoint(M, N) → F
  46. Midpoint(N, O) → G
  47. Midpoint(O, P) → H
  48. Midpoint(P, Q) → I
  49. Point(xAxis) → T_1
  50. Point(xAxis) → U_1
  51. Line(T_1, U_1) → i