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周长挑战 by spkwan

周长挑战 by spkwan
几何画板及绘图内容加载中，请稍等……
2016-01-12 23:28
解析几何
所属专题 CBSE Class VI Maths
①本范例演示了通过动态构造图形来探索周长变化的现象；②涉及的核心数学概念包括周长计算、平移变换、微分方程、特殊点识别、条形图绘制及相关性分析；③作图要点提炼自构造摘要，使用了线段、点、交点等 GeoGebra 命令；④适合高中及以上数学学习者，用于理解几何变换与数据分析的结合应用。

GeoGebra 命令及参数

  1. Segment(A, B) → a
  2. Segment(C, D) → b
  3. Segment(A, C) → c
  4. Segment(B, D) → d
  5. Point(c) → E
  6. Point(d) → F
  7. Segment(E, F) → e
  8. Point(c) → G
  9. Point(d) → H
  10. Segment(G, H) → f
  11. Point(a) → I
  12. Point(b) → J
  13. Segment(I, J) → g
  14. Segment(K, L) → h
  15. Segment(M, N) → i
  16. Segment(O, P) → j
  17. Segment(M, O) → k
  18. Segment(N, P) → l
  19. Point(k) → Q
  20. Point(l) → R
  21. Segment(Q, R) → m
  22. Point(k) → S
  23. Point(l) → T
  24. Segment(S, T) → n
  25. Point(i) → U
  26. Point(j) → V
  27. Segment(U, V) → p
  28. Point(i) → W
  29. Point(j) → Z
  30. Segment(W, Z) → q
  31. Segment(A_1, B_1) → r
  32. Segment(C_1, D_1) → s
  33. Segment(A_1, C_1) → t
  34. Segment(B_1, D_1) → a_1
  35. Point(t) → E_1
  36. Point(a_1) → F_1
  37. Segment(E_1, F_1) → b_1
  38. Point(t) → G_1
  39. Point(a_1) → H_1
  40. Segment(G_1, H_1) → c_1
  41. Point(s) → J_1
  42. Segment(I_1, J_1) → d_1
  43. Point(r) → K_1
  44. Point(s) → L_1
  45. Segment(K_1, L_1) → e_1
  46. Segment(M_1, N_1) → f_1
  47. Segment(O_1, P_1) → g_1
  48. Segment(M_1, O_1) → h_1
  49. Segment(N_1, P_1) → i_1
  50. Point(h_1) → Q_1
  51. Point(i_1) → R_1
  52. Segment(Q_1, R_1) → j_1
  53. Point(h_1) → S_1
  54. Point(i_1) → T_1
  55. Segment(S_1, T_1) → k_1
  56. Point(f_1) → U_1
  57. Point(g_1) → V_1
  58. Segment(U_1, V_1) → l_1
  59. Point(f_1) → W_1
  60. Point(g_1) → Z_1
  61. Segment(W_1, Z_1) → m_1
  62. Segment(A_2, B_2) → n_1
  63. Segment(C_2, D_2) → p_1
  64. Segment(A_2, C_2) → q_1
  65. Segment(B_2, D_2) → r_1
  66. Point(q_1) → E_2
  67. Point(r_1) → F_2
  68. Segment(E_2, F_2) → s_1
  69. Point(q_1) → G_2
  70. Point(r_1) → H_2
  71. Segment(G_2, H_2) → t_1
  72. Point(n_1) → I_2
  73. Segment(I_2, J_2) → a_2
  74. Point(n_1) → K_2
  75. Point(p_1) → L_2
  76. Segment(K_2, L_2) → b_2
  77. Segment(M_2, N_2) → c_2
  78. Segment(O_2, P_2) → d_2
  79. Segment(M_2, O_2) → e_2
  80. Segment(N_2, P_2) → f_2
  81. Point(e_2) → Q_2
  82. Point(f_2) → R_2
  83. Segment(Q_2, R_2) → g_2
  84. Point(e_2) → S_2
  85. Point(f_2) → T_2
  86. Segment(S_2, T_2) → h_2
  87. Point(c_2) → U_2
  88. Point(d_2) → V_2
  89. Segment(U_2, V_2) → i_2
  90. Point(c_2) → W_2
  91. Point(d_2) → Z_2
  92. Segment(W_2, Z_2) → j_2
  93. Segment(A_3, B_3) → k_2
  94. Segment(C_3, D_3) → l_2
  95. Segment(A_3, C_3) → m_2
  96. Segment(B_3, D_3) → n_2
  97. Point(m_2) → E_3
  98. Point(n_2) → F_3
  99. Segment(E_3, F_3) → p_2
  100. Point(m_2) → G_3
  101. Point(n_2) → H_3
  102. Segment(G_3, H_3) → q_2
  103. Point(k_2) → I_3
  104. Point(l_2) → J_3
  105. Segment(I_3, J_3) → r_2
  106. Point(k_2) → K_3
  107. Point(l_2) → L_3
  108. Segment(K_3, L_3) → s_2
  109. Segment(M_3, N_3) → t_2
  110. Segment(O_3, P_3) → a_3
  111. Segment(M_3, O_3) → b_3
  112. Segment(N_3, P_3) → c_3
  113. Point(b_3) → Q_3
  114. Point(c_3) → R_3
  115. Segment(Q_3, R_3) → d_3
  116. Point(b_3) → S_3
  117. Point(c_3) → T_3
  118. Segment(S_3, T_3) → e_3
  119. Point(t_2) → U_3
  120. Point(a_3) → V_3
  121. Segment(U_3, V_3) → f_3
  122. Point(t_2) → W_3
  123. Point(a_3) → Z_3
  124. Segment(W_3, Z_3) → g_3
  125. Segment(A_4, B_4) → h_3
  126. Segment(C_4, D_4) → i_3
  127. Segment(E_4, F_4) → j_3
  128. Segment(G_4, H_4) → k_3
  129. Segment(A_4, G_4) → l_3
  130. Point(h_3) → I_4
  131. Point(k_3) → J_4
  132. Segment(I_4, J_4) → m_3
  133. Point(h_3) → K_4
  134. Point(k_3) → L_4
  135. Segment(K_4, L_4) → n_3
  136. Segment(B_4, H_4) → p_3
  137. Intersect(a, c) → M_4
  138. Intersect(a, g) → N_4
  139. Intersect(e, g) → O_4
  140. Intersect(d, e) → P_4
  141. Intersect(b, d) → Q_4
  142. Intersect(b, c) → R_4
  143. Segment(M_4, N_4) → q_3
  144. Segment(N_4, O_4) → r_3
  145. Segment(O_4, P_4) → s_3
  146. Segment(P_4, Q_4) → t_3
  147. Segment(Q_4, R_4) → a_4
  148. Segment(R_4, M_4) → b_4