八圆交点构造

八圆交点构造
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2016-12-31 02:33
①本范例演示八圆交点形成的几何图形与空间关系;②涉及核心数学概念包括圆、交点、角度、几何作图;③构造要点:使用Segment(线段)、Circle(圆)、Line(直线)、AngularBisector(角平分线)等命令,创建并调整圆的位置与大小;④适合高中及以上学生学习几何作图、空间几何与解析几何知识。

GeoGebra 命令及参数

  1. Segment(A, I) → f
  2. Segment(J, H_1) → g
  3. Segment(K, G_1) → h
  4. Segment(L, F_1) → i
  5. Segment(M, E_1) → j
  6. Segment(N, D_1) → k
  7. Segment(O, C_1) → l
  8. Segment(P, B_1) → m
  9. Segment(Q, A_1) → n
  10. Segment(A, Q) → p
  11. Segment(B, R) → q
  12. Segment(C, S) → r
  13. Segment(D, T) → s
  14. Segment(E, U) → t
  15. Segment(F, V) → a
  16. Segment(G, W) → b
  17. Segment(H, Z) → c
  18. Segment(I, A_1) → d
  19. Circle(PSeven, disksize) → e
  20. Circle(PThree, disksize) → c_2
  21. Circle(PFour, disksize) → d_1
  22. Circle(POne, disksize) → e_1
  23. Circle(PSix, disksize) → f_1
  24. Circle(PTwo, disksize) → g_1
  25. Circle(PFive, disksize) → h_1
  26. Circle(PEight, disksize) → k_1
  27. Line(POne, yAxis) → i_1
  28. Line(PTwo, i_1) → j_1
  29. Line(PThree, j_1) → l_1
  30. Line(PFour, l_1) → m_1
  31. Line(PFive, m_1) → n_1
  32. Line(PSix, n_1) → p_1
  33. Line(PSeven, p_1) → q_1
  34. Line(PEight, q_1) → r_1
  35. Line(POne, xAxis) → s_1
  36. Line(PTwo, s_1) → t_1
  37. Line(PThree, t_1) → a_1
  38. Line(PFour, a_1) → b_1
  39. Line(PFive, b_1) → c_1
  40. Line(PSix, c_1) → f_2
  41. Line(PSeven, f_2) → g_2
  42. Line(PEight, g_2) → h_2
  43. AngularBisector(s_1, i_1) → i_2, j_2
  44. AngularBisector(t_1, j_1) → k_2, l_2
  45. AngularBisector(a_1, l_1) → m_2, n_2
  46. AngularBisector(b_1, m_1) → p_2, q_2
  47. AngularBisector(c_1, n_1) → r_2, s_2
  48. AngularBisector(f_2, p_1) → t_2, a_2
  49. AngularBisector(g_2, q_1) → b_2, d_2
  50. AngularBisector(h_2, r_1) → e_2, f_3