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日常生活中的几何图形

日常生活中的几何图形
几何画板及绘图内容加载中，请稍等……
2019-07-02 13:38
解析几何变换几何作图
本范例通过日常生活中的常见物体展示了几何图形和变换。它涉及坐标几何、几何变换和统计特征等核心数学概念。通过使用Rotate、Polygon等GeoGebra命令，可以构造出各种几何图形和变换效果。适合初中及以上学生学习几何变换和统计特征。

GeoGebra 命令及参数

  1. Rotate(A + (2 * (C_2 - A)), (t * π / 2), Segment[C_2, D]) → E
  2. Rotate(B_2 + (2 * (D - B_2)), (t * π / 2), Segment[C_2, D]) → G_2
  3. Rotate(D + (2 * (B_2 - D)), (t * π / 2), Segment[B_2, A]) → K
  4. Rotate(C_2 + (2 * (A - C_2)), (t * π / 2), Segment[B_2, A]) → L_2
  5. Rotate(D + (2 * (C_2 - D)), ((-t) * π / 2), Segment[C_2, A]) → M
  6. Rotate(B_2 + (2 * (A - B_2)), ((-t) * π / 2), Segment[C_2, A]) → N
  7. Rotate(C_2 + (2 * (M - C_2)), ((-t) * π / 2), Segment[M, N]) → O
  8. Rotate(A + (2 * (N - A)), ((-t) * π / 2), Segment[M, N]) → P
  9. Rotate(C_2 + (2 * (D - C_2)), ((-t) * π / 2), Segment[B_2, D]) → I
  10. Rotate(A + (2 * (B_2 - A)), ((-t) * π / 2), Segment[B_2, D]) → J
  11. Polygon(O, M, N, P) → q1, o, m, n, p
  12. Polygon(C_2, M, N, A) → q2, c_4, m_1, n_1, a
  13. Polygon(C_2, D, B_2, A) → q3, c_1, d, b, a_1
  14. Polygon(I, D, B_2, J) → q4, i, d_1, b_1, j
  15. Polygon(A, B_2, K, L_2) → q5, a_2, b_2, k, l
  16. Polygon(C_2, D, G_2, E) → q6, c_2, d_2, g, e
  17. Rotate(J + (2 * (I - J)), (t * π / 2), Segment[D, I]) → Q
  18. Rotate(B_2 + (2 * (D - B_2)), (t * π / 2), Segment[D, I]) → R_1
  19. Polygon(D, R_1, Q, I) → q7, d_3, r, q, i_1
  20. Rotate(N + (2 * (M - N)), (t * π / 2), Segment[M, C_2]) → S
  21. Rotate(A + (2 * (C_2 - A)), (t * π / 2), Segment[M, C_2]) → U
  22. Polygon(S, U, C_2, M) → q8, s, u, c_3, m_2
  23. Rotate(P + (2 * (O - P)), ((-t) * π / 2), Segment[M, O]) → V_1
  24. Rotate(N + (2 * (M - N)), ((-t) * π / 2), Segment[M, O]) → W
  25. Polygon(O, V_1, W, M) → q9, o_1, v, w, m_3
  26. Rotate(C_2 + (2 * (A - C_2)), (t * π / 2), Segment[A, N]) → Z
  27. Rotate(M + (2 * (N - M)), (t * π / 2), Segment[A, N]) → A_1
  28. Polygon(N, A, Z, A_1) → q10, n_2, a_3, z_1, f
  29. Rotate(M + (2 * (O - M)), ((-t) * π / 2), Segment[O, P]) → B_1
  30. Rotate(N + (2 * (P - N)), ((-t) * π / 2), Segment[O, P]) → C_1
  31. Polygon(O, P, C_1, B_1) → q11, o_2, p_1, h, f_1
  32. Rotate(M + (2 * (N - M)), (t * π / 2), Segment[N, P]) → D_1
  33. Rotate(O + (2 * (P - O)), (t * π / 2), Segment[N, P]) → E_1
  34. Polygon(P, N, D_1, E_1) → q12, p_2, n_3, g_1, e_1
  35. Rotate(B_1 + (2 * (C_1 - B_1)), ((-t) * π / 2), Segment[C_1, P]) → F_1
  36. Rotate(O + (2 * (P - O)), ((-t) * π / 2), Segment[C_1, P]) → G_1
  37. Polygon(C_1, P, G_1, F_1) → q13, h_1, p_3, j_1, k_1
  38. Rotate(N + (2 * (P - N)), (t * π / 2), Segment[E_1, P]) → H_1
  39. Rotate(D_1 + (2 * (E_1 - D_1)), (t * π / 2), Segment[E_1, P]) → I_1
  40. Polygon(P, H_1, I_1, E_1) → q14, p_4, l_1, q_1, r_1
  41. Rotate(Z + (2 * (A_1 - Z)), (t * π / 2), Segment[A_1, N]) → J_1
  42. Rotate(A + (2 * (N - A)), (t * π / 2), Segment[A_1, N]) → K_1
  43. Polygon(K_1, N, A_1, J_1) → q15, s_1, n_4, t_1, f_2
  44. Rotate(K_1 + (2 * (J_1 - K_1)), (t * π / 2), Segment[A_1, J_1]) → L_1
  45. Rotate(N + (2 * (A_1 - N)), (t * π / 2), Segment[A_1, J_1]) → M_1
  46. Polygon(J_1, L_1, M_1, A_1) → q16, g_2, h_2, i_2, j_2
  47. Rotate(M_1 + (2 * (L_1 - M_1)), (t * π / 2), Segment[L_1, J_1]) → N_1
  48. Rotate(A_1 + (2 * (J_1 - A_1)), (t * π / 2), Segment[L_1, J_1]) → O_1
  49. Polygon(N_1, O_1, J_1, L_1) → q17, k_2, l_2, q_2, r_2