多边形探索

多边形探索
几何画板及绘图内容加载中,请稍等……
2016-01-19 06:05
这个范例演示了多边形的探索,涉及三角函数和几何变换。通过使用GeoGebra命令如Polygon、Angle、Segment等,可以动态地改变多边形的形状和位置。适合高中数学教学和学习,特别是几何和三角函数部分。

GeoGebra 命令及参数

  1. Polygon(A, B, C) → poly2, c_1, a_1, b_1
  2. Polygon(A, B, C, D) → poly1, a, b, c, d
  3. Angle(A, B, C) → β3
  4. Angle(B, C, A) → γ3
  5. Angle(C, A, B) → α3
  6. Angle(B, C, D) → γ4
  7. Angle(C, D, A) → δ
  8. Angle(D, A, B) → α4
  9. Angle(A, B, C) → β4
  10. Segment(E, I) → g
  11. Segment(F, J) → h
  12. Segment(G, K) → i
  13. Segment(H, L) → j
  14. Segment(E, M) → k
  15. Segment(P, T) → n
  16. Segment(R, V) → p
  17. Segment(Q, U) → q
  18. Segment(S, W) → r
  19. Segment(A_1, D_1) → s
  20. Segment(Z, C_1) → t
  21. Segment(B_1, E_1) → d_1
  22. Segment(F, N) → m
  23. Segment(G, O) → l
  24. Polygon(A, B, C, D, F_1) → poly3, a_2, b_2, c_2, d_2, f_1
  25. Angle(B, C, D) → α
  26. Angle(C, D, F_1) → β
  27. Angle(D, F_1, A) → γ
  28. Angle(F_1, A, B) → ε
  29. Segment((x(E), 0), (x(E), a_2 / p5)) → e_1
  30. Segment((x(F), 0), (x(F), b_2 / p5)) → g_1
  31. Segment((x(G), 0), (x(G), c_2 / p5)) → h_1
  32. Segment((x(H), 0), (x(H), d_2 / p5)) → i_1
  33. Segment((x(H5), 0), (x(H5), f_1 / p5)) → j_1
  34. Segment((x(P), 0), (x(P), ε / ((3 * π)))) → k_1
  35. Segment((x(Q), 0), (x(Q), β3 / ((3 * π)))) → l_1
  36. Segment((x(R), 0), (x(R), α / ((3 * π)))) → m_1
  37. Segment((x(S), 0), (x(S), β / ((3 * π)))) → n_1
  38. Segment((x(S5), 0), (x(S5), γ / ((3 * π)))) → p_1