方位角动态演示 by Tim Brzezinski (2)

方位角动态演示 by Tim Brzezinski (2)
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2017-08-25 11:52
该范例演示了距离和方位角的概念,涉及三角函数和向量。通过旋转、交点等命令,动态展示了方位角的变化。适合高中数学教学,特别是三角函数和向量部分。

GeoGebra 命令及参数

  1. Circle(A, 3) → c
  2. Intersect(c, f) → B, C
  3. Ray(A, B) → g
  4. Ray(A, C) → h
  5. Circle(A, r) → d
  6. Intersect(d, g) → D,
  7. Intersect(d, h) → F,
  8. Intersect(d, i) → G, H
  9. Rotate(D, ((-a) * π / 180), A) → D'
  10. Rotate(D, (a * π / 180), A) → D'_1
  11. Rotate(F, (a * π / 180), A) → F'
  12. Rotate(F, ((-a) * π / 180), A) → F'_1
  13. Dilate(A, If[0 < b ≤ 1, 1 - b, 0], F) → A'
  14. Dilate(A, If[0 < b ≤ 1, 1 - b, 0], D) → A'_1
  15. Segment(A, A'_1) → j
  16. Segment(A, A') → k
  17. Angle(D', A, D) → α
  18. Rotate(D, If[1 < b ≤ 2, ((-(b - 1)) * α), (-α)], A) → E
  19. Rotate(D, If[1 < b ≤ 2, ((b - 1) * α), (-α)], A) → I
  20. Rotate(F, If[1 < b ≤ 2, ((b - 1) * α), (-α)], A) → F'_2
  21. Rotate(F, If[1 < b ≤ 2, ((-(b - 1)) * α), (-α)], A) → F'_3
  22. Angle(E, A, D) → β
  23. Angle(D, A, I) → γ
  24. Angle(F'_3, A, F) → δ
  25. Angle(F, A, F'_2) → ε
  26. Segment(A, E) → p
  27. Segment(A, I) → q
  28. Segment(A, F'_2) → s
  29. Segment(A, F'_3) → t
  30. Textfield(r) → InputBox1