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数、平方、线与点求和_tens

数、平方、线与点求和_tens
几何画板及绘图内容加载中，请稍等……
2017-05-23 00:29
数列解析几何微积分函数图像
①本范例演示了如何通过 GeoGebra 构造并求和数字、平方、线段与点的组合；②涉及的核心数学概念包括数列、几何作图、解析几何、微积分中的导数与积分；③作图要点提炼自构造摘要，使用了 Sequence（数列）、Point（点）、Polygon（多边形）、Random（随机）、RotateText（旋转文本）、Ellipse（椭圆）、Segment（线段）、Textfield（文本框）等命令与对象；④适合高中及以上数学学习者，用于理解几何图形与代数运算的结合，以及动态几何的演示。

GeoGebra 命令及参数

  1. Sequence(Sequence[Polygon[(j, i), (j, i + 1), 4], i, 0, 9], j, 1, 10) → list1
  2. Sequence(Sequence[Polygon[(j, i), (j, i + 1), 4], i, 11, 20], j, 1, 10) → list2
  3. Sequence(Sequence[Polygon[(j, i), (j, i + 1), 4], i, 11, 20], j, 12, 21) → list4
  4. Sequence(Sequence[Polygon[(j, i), (j, i + 1), 4], i, 0, 9], j, 12, 21) → list5
  5. Sequence(Sequence[Polygon[(j, i), (j, i + 1), 4], i, 0, 9], j, 23, 32) → list6
  6. Sequence(Sequence[Polygon[(j, i), (j, i + 1), 4], i, 11, 20], j, 23, 32) → list8
  7. Sequence(Polygon[(35, i), (35, i + 1), 4], i, 0, 9) → list12
  8. Sequence(Polygon[(37, i), (37, i + 1), 4], i, 0, 9) → list13
  9. Sequence(Polygon[(39, i), (39, i + 1), 4], i, 0, 9) → list14
  10. Sequence(Polygon[(39, i), (39, i + 1), 4], i, 11, 20) → list19
  11. Sequence(Polygon[(37, i), (37, i + 1), 4], i, 11, 20) → list20
  12. Sequence(Polygon[(35, i), (35, i + 1), 4], i, 11, 20) → list21
  13. Sequence((i, 23), i, 42, 60, 2) → list24
  14. Point(list24) → A
  15. Point(list24) → B
  16. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
  17. Point(list24) → E
  18. Point(list24) → F
  19. Polygon(E, F, 4) → poly2, j, k, l, m, G, H
  20. Point(list24) → I
  21. Point(list24) → J
  22. Polygon(I, J, 4) → poly3, n, p, q, r, K, L
  23. Point(list24) → M
  24. Point(list24) → N
  25. Polygon(M, N, 4) → poly4, s, t, a, b, O, P
  26. Point(list24) → Q
  27. Point(list24) → R
  28. Polygon(Q, R, 4) → poly5, c, d, e, f_1, S, T
  29. Sequence((i, 27), i, 42, 60, 2) → list25
  30. Point(list25) → U
  31. Point(list25) → V
  32. Polygon(U, V, 4) → poly6, g_1, h_1, i_1, j_1, W, Z
  33. Point(list25) → A_1
  34. Point(list25) → B_1
  35. Polygon(A_1, B_1, 4) → poly7, k_1, l_1, m_1, n_1, C_1, D_1
  36. Point(list25) → E_1
  37. Point(list25) → F_1
  38. Polygon(E_1, F_1, 4) → poly8, p_1, q_1, r_1, s_1, G_1, H_1
  39. Point(list25) → I_1
  40. Point(list25) → J_1
  41. Polygon(I_1, J_1, 4) → poly9, t_1, a_1, b_1, c_1, K_1, L_1
  42. Point(list25) → M_1
  43. Point(list25) → N_1
  44. Polygon(M_1, N_1, 4) → poly10, d_1, e_1, f_2, g_2, O_1, P_1
  45. Sequence(Polygon[(35, i), (35, i + 1), 4], i, 22, 31) → list18
  46. Sequence(Polygon[(37, i), (37, i + 1), 4], i, 22, 31) → list17
  47. Sequence(Polygon[(39, i), (39, i + 1), 4], i, 22, 31) → list15
  48. Point(list25) → Q_1
  49. Point(list25) → R_1
  50. Polygon(Q_1, R_1, 4) → poly11, h_2, i_2, j_2, k_2, S_1, T_1
  51. Point(list24) → U_1
  52. Point(list24) → V_1
  53. Polygon(U_1, V_1, 4) → poly12, l_2, m_2, n_2, p_2, W_1, Z_1
  54. Random(1, 9) → rhund
  55. Random(0, 9) → rten
  56. Random(0, 9) → rone
  57. Sequence(Sequence[Polygon[(i, j), (i + 4, j), 4], i, 41, 60, 4], j, 22, 26, 4) → list23
  58. RotateText(text4, 45°) → text10
  59. RotateText(text5, 45°) → text11
  60. RotateText(text6, 45°) → text12
  61. Sequence(Sequence[Polygon[(j, i), (j, i + 1), 4], i, 22, 31], j, 1, 10) → list3
  62. Sequence(Sequence[Polygon[(j, i), (j, i + 1), 4], i, 22, 31], j, 12, 21) → list10
  63. Sequence(Sequence[Polygon[(j, i), (j, i + 1), 4], i, 22, 31], j, 23, 32) → list11
  64. Ellipse(A_2, B_2, C_2) → c_2
  65. Polygon(D_2, E_2, F_2, G_2) → poly13, d_2, e_2, f_3, g_3
  66. Point(g_3) → H_2
  67. Point(e_2) → I_2
  68. Segment(H_2, I_2) → q_2
  69. Textfield(YourGuess) → InputBox1