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填充缺失的多边形

填充缺失的多边形
几何画板及绘图内容加载中，请稍等……
2016-03-25 09:48
多边形解析几何几何作图
①本范例演示如何在图中填充缺失的多边形；②涉及的核心数学概念包括多边形、方程、二次函数、二次方程、体积和分段函数；③作图要点：使用了Point、Polygon等GeoGebra命令和对象；④适合高中阶段学习几何作图的学生使用。

GeoGebra 命令及参数

  1. Point(Circle[A_3, 4.7976730919163675]) → B_3
  2. Polygon(A_3, B_3, C_3, D_3) → Trapezoid_4, a_3, b_3, c_3, d_3
  3. Point(Circle[E_3, 4.008975512666096]) → F_3
  4. Polygon(E_3, F_3, G_3) → Triangle_{14}, g_3, e_3, f_3
  5. Point(Circle[H_3, 4.657552104464272]) → I_3
  6. Polygon(H_3, I_3, J_3) → Triangle_{11}, j_3, h_3, i_3
  7. Point(Circle[N_3, 1.5736493301325478]) → O_3
  8. Polygon(N_3, O_3, P_3) → poly5, p_3, n_3, o_3
  9. Point(Circle[Q_3, 2.8217615307867993]) → R_3
  10. Polygon(Q_3, R_3, S_3) → Triangle_{13}, s_3, q_3, r_3
  11. Point(Circle[T_3, 2.7221878484049857]) → U_3
  12. Polygon(T_3, U_3, V_3) → Triangle_{12}, v_3, t_3, u_3
  13. Point(Circle[W_3, 0.7726653838316267]) → Z_3
  14. Polygon(W_3, Z_3, A_4, B_4) → Rectangle_8, w_3, z_4, a_4, b_4
  15. Point(Circle[G_4, 1.515674330327962]) → H_4
  16. Polygon(G_4, H_4, I_4, J_4) → Rectangle_{10}, g_4, h_4, i_4, j_4
  17. Point(Circle[K_4, 1.5445367293641927]) → L_4
  18. Polygon(K_4, L_4, M_4, N_4) → Rectangle_9, k_4, l_4, m_4, n_4
  19. Point(Circle[O_4, 2.1450128079449797]) → P_4
  20. Polygon(O_4, P_4, Q_4, R_4) → Rectangle_{11}, o_4, p_4, q_4, r_4
  21. Point(Circle[S_4, 4.851998817260502]) → T_4
  22. Polygon(S_4, T_4, U_4, V_4) → Trapezoid_1, s_4, t_4, u_4, v_4
  23. Point(Circle[W_4, 3.3173249493970496]) → Z_4
  24. Polygon(W_4, Z_4, A_5) → Triangle_{15}, a_5, w_4, z_5
  25. Point(Circle[B_5, 1.540029445803641]) → C_5
  26. Polygon(B_5, C_5, D_5) → Triangle_{16}, d_5, b_5, c_5
  27. Point(Circle[E_5, 1.7265485382613106]) → F_5
  28. Polygon(E_5, F_5, G_5) → Triangle_{17}, g_5, e_5, f_5
  29. Point(Circle[H_5, 2.0257943441764636]) → I_5
  30. Polygon(H_5, I_5, J_5) → Triangle_5, j_5, h_5, i_5
  31. Point(Circle[C, 0.7149407218528125]) → D
  32. Polygon(C, D, K_3, L_3) → Rectangle_2, c, d, k_3, l_3
  33. Point(Circle[M_3, 5.661174939405696]) → D_4
  34. Polygon(M_3, D_4, E_4) → Triangle_1, e_4, m_3, d_4
  35. Point(Circle[P, 4.225628205665061]) → Q
  36. Polygon(P, Q, R, S) → Trapezoid_3, p, q, r, s
  37. Point(Circle[T_1, 1.086478133653952]) → U_1
  38. Polygon(T_1, U_1, F_2, C_4) → Trapezoid, t_1, u_1, f_2, c_4
  39. Point(Circle[Rectangle_4, 1.4722769097943167]) → K_5
  40. Polygon(Rectangle_4, K_5, L_5, M_5) → Rectangle, f_4, k_5, l_5, m_5
  41. Point(Circle[A, 3.366194046238461]) → B
  42. Polygon(A, B, E) → Triangle, e, a, b

AI 绘图提示语参考

绘制一个包含多个多边形和矩形的图形。首先绘制一个圆，然后在圆上取点A_3，接着以A_3为顶点绘制一个梯形。继续绘制圆和点，依次连接点形成三角形、矩形和梯形。最后，绘制一个三角形和一个矩形，确保所有多边形和矩形都相互连接，形成一个完整的图形。
以上提示语为根据原始绘图命令整理而来，仅供参考。