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探索三角形

探索三角形
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2016-09-22 16:14
测试改名0向量几何作图
本范例通过拖动三角形到灰色区域，演示三角形的几何变换。核心数学概念包括三角形的性质和几何作图。使用了Point, Line, Polygon, Centroid, PointIn, Circle, Segment, Rotate等命令。适合初中及以上学生学习三角形的几何变换。

GeoGebra 命令及参数

  1. Point(yAxis) → A
  2. Point(yAxis) → B
  3. Line(A, B) → f
  4. Polygon(C, D, 3) → Vieleck1, g, h, i, E
  5. Polygon(F, G, 4) → Vieleck2, j, k, l, m, H, I
  6. Polygon(J, K, 3) → Vieleck3, n, p, q, L
  7. Point(Circle[P_1, 1.4669696656713795]) → Q_1
  8. Polygon(P_1, Q_1, R_1) → poly1, r_1, p_2, q_2
  9. Point(Circle[S_1, 1.7274258305351349]) → T_1
  10. Polygon(S_1, T_1, U_1) → poly2, u_1, s_1, t_1
  11. Point(Circle[V_1, 1.3423859355639867]) → W_1
  12. Polygon(V_1, W_1, Z_1) → poly3, z_1, v_1, w_1
  13. Point(Circle[A_2, 2.1160340261914503]) → B_2
  14. Polygon(A_2, B_2, C_2) → poly4, c_2, a_2, b_2
  15. Centroid(poly1) → D_2
  16. Centroid(poly2) → E_2
  17. Centroid(poly3) → F_2
  18. Centroid(poly4) → G_2
  19. Centroid(Vieleck3) → H_2
  20. Polygon(U_2, V_2, W_2, Z_2) → Vieleck4, u_2, v_2, w_2, z_2
  21. PointIn(Vieleck4) → A_3
  22. Circle(A_3, 0.5) → c_1
  23. PointIn(Vieleck4) → B_3
  24. Circle(B_3, 0.8) → c
  25. PointIn(Vieleck4) → C_3
  26. Circle(C_3, 1) → d_1
  27. PointIn(Vieleck4) → D_3
  28. Point(Circle[D_3, 1.25]) → E_3
  29. Segment(D_3, E_3) → r
  30. Rotate(E_3, 90°, D_3) → F_3
  31. Rotate(E_3, 180°, D_3) → G_3
  32. Rotate(E_3, 270°, D_3) → H_3
  33. Polygon(H_3, E_3, F_3, G_3) → Vieleck5, h_3, e_3, f_3, g_3
  34. PointIn(Vieleck4) → I_3
  35. Point(Circle[I_3, 0.8]) → J_3
  36. Segment(I_3, J_3) → s
  37. Rotate(J_3, 90°, I_3) → K_3
  38. Rotate(J_3, 180°, I_3) → L_3
  39. Rotate(J_3, 270°, I_3) → M_3
  40. Polygon(J_3, K_3, L_3, M_3) → Vieleck6, j_3, k_3, l_3, m_3
  41. PointIn(Vieleck4) → E_1
  42. Point(Circle[E_1, 1.2]) → F_1
  43. Segment(E_1, F_1) → t
  44. Rotate(F_1, 60°, E_1) → N_3
  45. Rotate(F_1, 180°, E_1) → O_3
  46. Rotate(F_1, 240°, E_1) → P_3
  47. Polygon(F_1, N_3, O_3, P_3) → Vieleck7, f_1, n_3, o_3, p_3
  48. PointIn(Vieleck4) → Q_3
  49. Point(Circle[Q_3, 1.5]) → R_3
  50. Segment(Q_3, R_3) → b
  51. Rotate(R_3, 30°, Q_3) → S_3
  52. Rotate(R_3, 180°, Q_3) → T_3
  53. Rotate(R_3, 210°, Q_3) → U_3
  54. Polygon(R_3, S_3, T_3, U_3) → Vieleck8, r_3, s_3, t_3, u_3