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周长与面积 by Austen Meek

周长与面积 by Austen Meek
几何画板及绘图内容加载中，请稍等……
2014-11-13 07:10
几何作图
所属专题 Arithmetic: Skills & Concepts Arithmetic: Skills & Concepts Arithmetic: Skills & Concepts
①本范例通过动画演示了多边形的周长和面积计算；②涉及的核心数学概念包括周长、面积、几何变换；③作图要点：使用了Segment、PolyLine、Point、Translate、Polygon、Textfield等GeoGebra命令和对象；④适合初中及以上学生学习几何图形的性质与计算，也可用于数学教学演示。

GeoGebra 命令及参数

  1. Segment(A, B) → a
  2. Segment(G, H) → f
  3. PolyLine(S, T, U, V, W, Z, A_1) → d
  4. Point(d) → B_1
  5. Translate(H_1, u_1) → L_1
  6. Translate(I_1, u_1) → M_1
  7. Translate(J_1, u_1) → N_1
  8. Translate(K_1, u_1) → O_1
  9. Translate(H_1, v) → P_1
  10. Translate(I_1, v) → Q_1
  11. Translate(J_1, v) → R_1
  12. Translate(K_1, v) → S_1
  13. Translate(L_1, w) → T_1
  14. Translate(M_1, w) → U_1
  15. Translate(N_1, w) → V_1
  16. Translate(O_1, w) → W_1
  17. Translate(H_1, g) → Z_1
  18. Translate(I_1, g) → A_2
  19. Translate(J_1, g) → B_2
  20. Translate(K_1, g) → C_2
  21. Translate(P_1, h) → D_2
  22. Translate(Q_1, h) → E_2
  23. Translate(R_1, h) → F_2
  24. Translate(S_1, h) → G_2
  25. Translate(Z_1, i) → H_2
  26. Translate(A_2, i) → I_2
  27. Translate(B_2, i) → J_2
  28. Translate(C_2, i) → K_2
  29. Point(f) → C_1
  30. Segment(G, C_1) → e
  31. Point(f) → D_1
  32. Segment(C_1, D_1) → k
  33. Point(f) → E_1
  34. Segment(D_1, E_1) → l
  35. Segment(E_1, H) → m
  36. PolyLine(I, F_1, G_1, L_2, M_2, N_2, O) → b
  37. Point(b) → O_2
  38. Segment(I, O_2) → p
  39. Point(b) → P_2
  40. Segment(O_2, P_2) → q
  41. Point(b) → Q_2
  42. Segment(P_2, Q_2) → r
  43. Point(b) → R_2
  44. Segment(Q_2, R_2) → s
  45. Point(b) → S_2
  46. Segment(R_2, S_2) → t
  47. Segment(S_2, O) → a_1
  48. Segment(T_2, U_2) → b_1
  49. PolyLine(V_2, W_2, Z_2, A_3, B_3) → c_1
  50. PolyLine(S_3, T_3, U_3, V_3, W_3, Z_3, A_4) → d_1
  51. Point(d_1) → B_4
  52. Point(d) → E_3
  53. Point(d_1) → F_3
  54. Point(d_1) → G_3
  55. Point(d) → H_3
  56. Point(d_1) → I_3
  57. Point(d_1) → J_3
  58. Point(d_1) → K_3
  59. Point(d_1) → L_3
  60. Point(d_1) → D_3
  61. Point(d_1) → Q_3
  62. Point(d_1) → R_3
  63. Point(d_1) → C_4
  64. Polygon(D_3, Q_3, R_3, C_4) → poly1, d_3, q_3, r_3, c_4
  65. Point(d_1) → D_4
  66. Point(d_1) → E_4
  67. Point(d_1) → F_4
  68. Point(d_1) → G_4
  69. Polygon(D_4, E_4, F_4, G_4) → poly2, d_4, e_4, f_4, g_4
  70. Point(d_1) → H_4
  71. Point(d_1) → I_4
  72. Point(d_1) → J_4
  73. Point(d_1) → K_4
  74. Polygon(H_4, I_4, J_4, K_4) → poly3, h_4, i_4, j_4, k_4
  75. Segment(C_3, L_4) → f_1
  76. PolyLine(M_4, N_4, O_4, P_4, Q_4) → g_1
  77. PolyLine(R_4, S_4, T_4, U_4, V_4, W_4, Z_4, A_5, B_5) → h_1
  78. Textfield(A1) → inputBox1
  79. Textfield(A2) → inputBox2
  80. Textfield(A3) → inputBox3
  81. Textfield(A4) → inputBox4