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哪个正方形更大？

哪个正方形更大？
几何画板及绘图内容加载中，请稍等……
2020-07-11 01:43
多边形变换几何作图
本范例展示了两个正方形在五边形中的大小比较。通过几何作图，学生可以理解相似变换的概念。使用了点、多边形、中点、正交线、交点、线段、圆、角平分线、向量、平移和旋转等GeoGebra命令。适合初中及以上学生学习几何变换和相似性。

GeoGebra 命令及参数

  1. Point(xAxis) → A
  2. Polygon(A, B, 5) → polígono1, f, g, h, i, j, C, D, E
  3. Midpoint(A, B) → F
  4. Midpoint(D, F) → G
  5. OrthogonalLine(G, yAxis) → k
  6. Intersect(g, k) → H
  7. Intersect(j, k) → I
  8. Polygon(F, H, D, I) → c1, f_1, h_1, d, i_1
  9. Point(xAxis) → J
  10. Point(xAxis) → K
  11. Polygon(J, K, 5) → polígono2, l, m, n, p, q, L, M, N
  12. Midpoint(J, K) → O
  13. Midpoint(M, O) → P
  14. Midpoint(L, K) → Q
  15. Segment(N, Q) → r
  16. Segment(M, O) → s
  17. Intersect(r, s) → R
  18. Circle(R, Q) → c
  19. Point(n) → S
  20. OrthogonalLine(S, xAxis) → t
  21. OrthogonalLine(S, t) → a
  22. Intersect(p, a) → T
  23. OrthogonalLine(T, a) → b
  24. Intersect(t, m) → U
  25. Intersect(b, q) → V
  26. Polygon(V, U, S, T) → c2, v, u, s_1, t_1
  27. Midpoint(S, V) → W
  28. Segment(D, F) → e
  29. Segment(S, V) → g_1
  30. AngularBisector(C, B, A) → j_1
  31. AngularBisector(B, A, E) → k_1
  32. Intersect(k_1, j_1) → Z
  33. Segment(E, Z) → l_1
  34. Segment(Z, C) → m_1
  35. Segment(Z, B) → n_1
  36. Segment(Z, A) → p_1
  37. AngularBisector(K, J, N) → q_1
  38. AngularBisector(J, N, M) → r_1
  39. Intersect(r_1, q_1) → A_1
  40. Segment(N, A_1) → a_1
  41. Segment(A_1, M) → b_1
  42. Segment(A_1, L) → c_1
  43. Segment(A_1, K) → d_1
  44. Segment(A_1, J) → e_1
  45. Vector(V, V') → w
  46. Translate(V, w) → V'_3
  47. Translate(U, w) → U'_2
  48. Translate(S, w) → S'_2
  49. Translate(T, w) → T'_1
  50. Rotate(V, ((2 * π) * tras / 8), V) → V'_1
  51. Rotate(U, ((2 * π) * tras / 8), V) → U'
  52. Rotate(S, ((2 * π) * tras / 8), V) → S'
  53. Rotate(T, ((2 * π) * tras / 8), V) → T'
  54. Polygon(V'_1, U', S', T') → c2', v'_1, u', s', t'
  55. Translate(V'_1, w) → B_1
  56. Translate(U', w) → U''
  57. Translate(S', w) → S''
  58. Translate(T', w) → T''
  59. Polygon(B_1, U'', S'', T'') → c2'', f_2, u'', s'', t''