平方根游戏

平方根游戏
几何画板及绘图内容加载中,请稍等……
2017-04-17 22:17
①本范例通过交互式游戏演示平方根的计算与几何意义;②涉及核心数学概念包括平方根、几何作图、条件概率、积分与线性回归;③构造中使用了Shuffle, Random, Midpoint, Polygon, LaTeX, Segment, Point, Ellipse等GeoGebra命令与对象;④适合高中数学教学,用于激发学习兴趣,加深对平方根及相关概念的理解。

GeoGebra 命令及参数

  1. Shuffle({2, 4, 6, 8, 10, 12}) → list1
  2. Element(list1, 2) → j
  3. Element(list1, 1) → e
  4. Random(13, 20) → f_2
  5. Random(3, 12) → v_1
  6. Random(13, 20) → e_2
  7. Random(3, 12) → w_1
  8. Element(Words, l) → text73
  9. Element(Words, j) → text8
  10. Element(Words, e) → text7
  11. Element(Words, k) → text9
  12. Element(list1, 4) → l_3
  13. Element(Words, l_3) → text10
  14. Element(Words, k) → text72
  15. Midpoint(B, D) → H
  16. Midpoint(A, C) → F
  17. Midpoint(F, H) → I
  18. Midpoint(I, H) → R
  19. Midpoint(M_1, N_1) → O_1
  20. Midpoint(O_1, N_1) → Q_1
  21. Midpoint(M_1, O_1) → P_1
  22. Midpoint(F, I) → M
  23. Midpoint(A, B) → E
  24. Midpoint(C, D) → G
  25. Midpoint(E, I) → J
  26. Midpoint(A, F) → K
  27. Midpoint(B, H) → L
  28. Midpoint(K, J) → N
  29. Midpoint(A, E) → O
  30. Midpoint(E, B) → P
  31. Midpoint(J, L) → Q
  32. Midpoint(C, G) → S
  33. Midpoint(G, D) → T
  34. Polygon(U, V, W, Z) → poly1, u, v, w, z_1
  35. Polygon(A_1, B_1, C_1, D_1) → poly2, a_1, b_1, c_1, d_1
  36. Polygon(E_1, F_1, G_1, H_1) → poly3, e_1, f_1, g_1, h_1
  37. Polygon(F, M, P_1, M_1) → poly5, f, m, s, n_1
  38. Polygon(I_1, J_1, K_1, L_1) → poly4, i_1, j_1, k_1, l_1
  39. Polygon(I, R, Q_1, O_1) → poly7, r, t, q_1, s_1
  40. Polygon(M, I, O_1, P_1) → poly6, g, i, m_1, p_1
  41. Polygon(R, H, N_1, Q_1) → poly8, h, r_1, t_1, a_2
  42. Element(list1, 3) → k_3
  43. Shuffle({1, 2, 3, 4}) → Mix
  44. Element(Mix, 1) → n
  45. Element(Mix, 2) → o
  46. Element(Mix, 3) → p
  47. Element(Mix, 4) → q
  48. Element(ShownWords, n) → text11
  49. Element(ShownWords, o) → text12
  50. Element(ShownWords, p) → text13
  51. Element(ShownWords, q) → text14
  52. Element(Definitions, e) → text21
  53. Element(Definitions, j) → text22
  54. LaTeX(Points, true, true) → text25
  55. Polygon(K, M_1, P_1, N) → poly9, k_2, m_2, p_2, n_2
  56. Polygon(N, J, O_1, P_1) → poly10, n_3, j_2, o_1, p_3
  57. Polygon(J, O_1, Q_1, Q) → poly11, j_3, o_2, q_2, q_3
  58. Polygon(Q, Q_1, N_1, L) → poly12, q_4, q_5, n_4, l_2
  59. Textfield(Name) → inputBox1
  60. Textfield(Date) → inputBox2
  61. Segment(R_1, S_1) → b_2
  62. Point(b_2) → T_1
  63. Ellipse(U_1, V_1, T_1) → c_2
  64. Point(c_2) → W_1
  65. Point(c_2) → Z_1
  66. Segment(C_2, D_2) → d_2
  67. Point(d_2) → E_2
  68. Element(Definitions, k) → text23
  69. Element(Definitions, l) → text24

AI 绘图提示语参考

画一个展示平方根计算和几何意义的交互式游戏图形。包含随机生成的数字列表,用这些数字的平方根构造几何图形,如正方形和椭圆。通过几何构造展示中点、多边形和条件概率,并用线性回归和积分概念。图形应包含多个几何对象,如线段、点和多边形,以及文字标签,展示数学概念和随机生成的单词。
以上提示语为根据原始绘图命令整理而来,仅供参考。