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找出所有四边形：拖拽分类互动练习

找出所有四边形：拖拽分类互动练习
几何画板及绘图内容加载中，请稍等……
2016-09-22 16:16
多边形角解析几何变换几何作图
所属专题 dps_bhavna Sorting Geometric Figures
① 本范例是一个交互式几何分类练习，学生需要将屏幕上出现的各种四边形拖拽到灰色目标区域中，以检验对四边形特征的识别能力。② 核心数学概念是四边形的定义与分类，包括矩形、平行四边形、梯形等特殊四边形，以及多边形的基本性质。③ 作图要点：从构造摘要可见，使用了Polygon命令创建多个多边形对象（如poly1、poly2、poly3），并利用Point、PointIn、Centroid、Circle、Segment、Line、OrthogonalLine、Rotate、LineBisector、Semicircle等命令构建辅助图形和交互元素，其中PointIn用于检测拖拽点是否落入目标区域，Rotate和LineBisector可能用于生成对称或特殊四边形。④ 适合小学高年级至初中阶段学习几何初步的学生，也可用于教师课堂演示或学生自主探究，通过动手操作加深对四边形分类的理解。

GeoGebra 命令及参数

  1. Polygon(O_2, P_2, Q_2, R_2) → Vieleck1, o_2, p_2, q_2, r_2
  2. PointIn(Vieleck1) → C_3
  3. Point(Circle[C_3, 1]) → H_3
  4. Point(Circle[A, 3.514555448417339]) → B
  5. Polygon(A, B, C, D) → poly1, a_1, b, c, d
  6. Point(Circle[E, 1.6120794025109306]) → F
  7. Polygon(E, F, G, H) → poly2, e, f, g, h
  8. Point(Circle[I, 0.8532877591996734]) → J
  9. Polygon(I, J, K, L) → poly3, i, j, k, l
  10. Polygon(M, N, 4) → poly4, m, n, p, q, O, P
  11. Polygon(Q, P_3, Q_3, R_3) → poly5, r, s, t, f_1
  12. Point(Circle[E_1, 1]) → F_1
  13. Point(Circle[H_1, 0.7800640999302562]) → I_1
  14. Point(Circle[K_1, 1.7596590578859304]) → L_1
  15. Point(Circle[N_1, 1.053944970100432]) → O_1
  16. Centroid(poly1) → Q_1
  17. Centroid(poly2) → R_1
  18. Centroid(poly4) → S_1
  19. Centroid(poly5) → T_1
  20. Centroid(poly3) → V_1
  21. Point(Circle[K_2, 0.7823042886243177]) → L_2
  22. Polygon(K_2, L_2, M_2, N_2) → poly10, k_2, l_2, m_2, n_2
  23. PointIn(Vieleck1) → S_2
  24. PointIn(Vieleck1) → T_2
  25. PointIn(Vieleck1) → U_2
  26. PointIn(Vieleck1) → V_2
  27. Circle(S_2, 0.7) → c_1
  28. Circle(T_2, 1) → d_1
  29. Circle(U_2, 0.3) → e_1
  30. Circle(V_2, 0.8) → g_1
  31. PointIn(Vieleck1) → W_2
  32. Point(Circle[W_2, 0.7]) → Z_2
  33. Segment(W_2, Z_2) → q_1
  34. Point(Circle[Z_2, 1.5]) → A_3
  35. Segment(Z_2, A_3) → r_1
  36. Point(Circle[A_3, 2]) → B_3
  37. Segment(A_3, B_3) → s_1
  38. Polygon(Z_2, A_3, B_3) → Vieleck2, b_3, z_2, a_3
  39. Line(H_3, C_3) → h_1
  40. Point(h_1) → E_3
  41. OrthogonalLine(E_3, h_1) → i_1
  42. Point(i_1) → F_3
  43. Point(i_1) → G_3
  44. Polygon(F_3, G_3, H_3) → Vieleck3, k_1, l_1, m_1
  45. Segment(C_3, H_3) → j_1
  46. PointIn(Vieleck1) → D_3
  47. Point(Circle[D_3, 1.5]) → I_3
  48. Segment(D_3, I_3) → t_1
  49. Rotate(I_3, 30°, D_3) → J_3
  50. LineBisector(I_3, J_3) → b_1
  51. Point(b_1) → K_3
  52. Polygon(I_3, J_3, K_3) → Vieleck4, k_3, i_3, j_3
  53. PointIn(Vieleck1) → L_3
  54. Point(Circle[L_3, 1]) → M_3
  55. Segment(L_3, M_3) → n_1
  56. Point(Circle[L_3, 1.5]) → N_3
  57. Segment(L_3, N_3) → p_1
  58. Semicircle(N_3, M_3) → c_2
  59. Point(c_2) → O_3
  60. Polygon(O_3, N_3, M_3) → Vieleck5, m_3, o_3, n_3