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单位圆 by Loizos Loizou

单位圆 by Loizos Loizou
几何画板及绘图内容加载中，请稍等……
2018-02-02 01:14
圆三角函数几何作图
该范例演示单位圆的性质。涉及的核心数学概念包括三角函数和角度。通过旋转、切线等命令构造单位圆上的点和相关几何元素。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → A_1
  2. Point(xAxis) → B_1
  3. Circle(A_1, B_1) → c
  4. Rotate(B_1, α, A_1) → A
  5. Angle(B_1, A_1, A) → θ
  6. OrthogonalLine(A, xAxis) → a
  7. OrthogonalLine(A, yAxis) → b
  8. OrthogonalLine(B_1, xAxis) → d
  9. Line(A_1, A) → e
  10. Intersect(yAxis, b) → H
  11. Intersect(a, xAxis) → B
  12. Segment(A, H) → f
  13. Segment(A_1, B) → g
  14. Segment(H, A_1) → h
  15. Segment(A, B) → i
  16. Intersect(c, yAxis) → E, F
  17. OrthogonalLine(F, yAxis) → j
  18. Intersect(d, e) → Γ
  19. Intersect(e, j) → Δ
  20. Segment(F, Δ) → k
  21. Segment(B_1, Γ) → l
  22. Tangent(A, c) → m,
  23. Intersect(m, xAxis) → T
  24. Intersect(yAxis, m) → Σ
  25. Segment(A_1, T) → n
  26. Segment(A_1, T) → p
  27. Segment(A_1, Σ) → q
  28. Segment(A_1, B) → r
  29. If(sin(θ) ≤ 0, 1, 0) → red
  30. If(sin(θ) > 0, 1, 0) → ble
  31. Segment(A_1, A) → s
  32. If(cos(θ) ≤ 0, 1, 0) → redcos
  33. If(redcos > 0, 0, 1) → blecos
  34. If(tan(θ) ≤ 0, 1, 0) → redtan
  35. If(redtan > 0, 0, 1) → bletan
  36. Segment(Σ, T) → t
  37. Line(F, E) → a_1
  38. Line(A_1, B_1) → b_1