用粉红色四边形绘制小丑脸

用粉红色四边形绘制小丑脸
几何画板及绘图内容加载中,请稍等……
2013-10-30 22:24
所属专题 Elementary Geometry
①本范例通过粉红色四边形演示如何绘制小丑脸;②涉及的核心数学概念包括多边形、几何变换和对称性;③作图要点:使用了Line、OrthogonalLine、Point、Intersect、Polygon、Circle、LineBisector、Mirror、Ellipse等GeoGebra命令和对象;④适合初中及以上学生学习和理解几何作图与变换。

GeoGebra 命令及参数

  1. Line(D, E) → a
  2. OrthogonalLine(D, a) → b
  3. OrthogonalLine(E, a) → d
  4. Point(d) → F
  5. OrthogonalLine(F, d) → e
  6. Intersect(b, e) → G
  7. Polygon(E, F, G, D) → poly1, e_1, f, g, d_1
  8. Polygon(H, I, 4) → poly2, h, i, j, k, J, K
  9. Circle(T, U) → c_1
  10. Circle(V, U) → f_1
  11. Intersect(c_1, f_1, 2) → W
  12. Polygon(T, U, V, W) → poly5, t_1, u, v, w
  13. Circle(Z, A_1) → g_1
  14. Circle(A_1, Z) → h_1
  15. Point(h_1) → B_1
  16. Circle(B_1, A_1) → k_1
  17. Intersect(g_1, k_1, 2) → C_1
  18. Polygon(Z, C_1, B_1, A_1) → poly6, z, c_2, b_1, a_1
  19. LineBisector(S, R) → r
  20. Mirror(D_1, r) → E_1
  21. Polygon(R, S, E_1, D_1) → poly4, r_1, s, e_2, d_2
  22. Line(F_1, G_1) → q
  23. Line(H_1, q) → t
  24. Line(F_1, H_1) → i_1
  25. Line(G_1, i_1) → j_1
  26. Intersect(t, j_1) → I_1
  27. Polygon(F_1, G_1, I_1, H_1) → poly7, f_2, g_2, i_2, h_2
  28. Polygon(J_1, P, Q, K_1) → poly8, j_2, p_1, q_1, k_2
  29. Line(D_2, E_2) → a_2
  30. OrthogonalLine(D_2, a_2) → b_2
  31. OrthogonalLine(E_2, a_2) → d_4
  32. Point(d_4) → F_2
  33. OrthogonalLine(F_2, d_4) → e_4
  34. Intersect(b_2, e_4) → G_2
  35. Polygon(E_2, F_2, G_2, D_2) → poly1_1, e_3, f_3, g_3, d_3
  36. Circle(Z_1, A_2) → g_4
  37. Circle(A_2, Z_1) → h_3
  38. Point(h_3) → B_2
  39. Circle(B_2, A_2) → k_3
  40. Intersect(g_4, k_3, 2) → C_2
  41. Polygon(Z_1, C_2, B_2, A_2) → poly6_1, z_1, c_3, b_3, a_3
  42. Polygon(H_2, I_2, 4) → poly2_1, h_4, i_3, j_3, k_4, J_2, K_2
  43. LineBisector(S_1, R_1) → r_3
  44. Mirror(D_3, r_3) → E_3
  45. Polygon(R_1, S_1, E_3, D_3) → poly4_1, r_2, s_1, e_5, d_5
  46. Line(F_3, G_3) → q_2
  47. Line(H_3, q_2) → t_2
  48. Line(F_3, H_3) → i_5
  49. Line(G_3, i_5) → j_4
  50. Intersect(t_2, j_4) → I_3
  51. Polygon(F_3, G_3, I_3, H_3) → poly7_1, f_4, g_5, i_4, h_5
  52. Circle(T_1, U_1) → c_4
  53. Circle(V_1, U_1) → f_5
  54. Intersect(c_4, f_5, 2) → W_1
  55. Polygon(T_1, U_1, V_1, W_1) → poly5_1, t_3, u_1, v_1, w_1
  56. Polygon(J_3, P_1, Q_1, K_3) → poly8_1, j_5, p_2, q_3, k_5
  57. Ellipse(A, B, C) → c

AI 绘图提示语参考

画一个滑稽的面具,使用粉红色的四边形构成脸型,包含对称的几何形状和变换,先画出基础的四边形和线条,再添加圆形和椭圆作为装饰,最后通过镜像和反射完成对称设计。
以上提示语为根据原始绘图命令整理而来,仅供参考。