积极 AI Logo 积极 AI

单位圆：正弦与余弦函数

单位圆：正弦与余弦函数
几何画板及绘图内容加载中，请稍等……
2017-06-15 02:30
圆函数三角函数
本范例通过单位圆演示正弦与余弦函数。核心数学概念包括三角函数和单位圆。使用了构造圆、旋转、角度、正交线、向量等GeoGebra命令。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Circle(A, B) → c
  4. Rotate(B, Angle, A) → C
  5. Angle(B, A, C) → α
  6. OrthogonalLine(C, xAxis) → f
  7. OrthogonalLine(C, yAxis) → g
  8. Vector(A, C) → u
  9. Intersect(f, xAxis) → D
  10. Intersect(g, yAxis) → E
  11. Intersect(c, yAxis, 2) → F
  12. Intersect(c, xAxis, 2) → G
  13. Intersect(c, yAxis, 1) → H
  14. OrthogonalLine(P_{1}, xAxis) → h
  15. OrthogonalLine(P_{2}, xAxis) → i
  16. OrthogonalLine(P_{3}, xAxis) → j
  17. OrthogonalLine(Q_{2}, xAxis) → k
  18. OrthogonalLine(Q_{1}, xAxis) → l
  19. OrthogonalLine(Q_{3}, xAxis) → m
  20. Intersect(m, xAxis) → I
  21. Intersect(k, xAxis) → K
  22. Intersect(c, xAxis, 2) → L
  23. Intersect(l, xAxis) → J
  24. Intersect(j, xAxis) → M
  25. Intersect(i, xAxis) → N
  26. Intersect(h, xAxis) → O
  27. Polygon(A, P_{1}, O) → poly1, o, a, p_6
  28. Intersect(o, p_6) → P
  29. Polygon(P, P_{2}, N) → poly2, n, p, p_{2}
  30. Polygon(P, P_{3}, M) → poly3, m_1, p_{3}, p_4
  31. Polygon(P, D, C) → poly4, c_1, p_5, d
  32. Vector(C, D) → v
  33. Vector(C, E) → w
  34. Vector(P, C) → b
  35. Segment(F, H) → q
  36. Segment(L, B) → r
  37. Segment(P, Q_{1}) → s
  38. Segment(P, Q_{2}) → t
  39. Segment(P, Q_{3}) → e
  40. Segment(P, R_{1}) → f_1
  41. Segment(P, R_{2}) → g_1
  42. Segment(P, R_{3}) → h_1
  43. Segment(P, S_{1}) → i_1
  44. Segment(P, S_{2}) → j_1
  45. Segment(P, S_{3}) → k_1
  46. Segment(P, P_{1}) → l_1
  47. Segment(P, P_{2}) → n_1
  48. Segment(P, P_{3}) → p_1