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等角共轭点的垂足圆

等角共轭点的垂足圆
几何画板及绘图内容加载中，请稍等……
2015-02-14 05:39
测试改名0圆几何作图
所属专题 A Tour of Triangle Geometry
本范例展示了等角共轭点的垂足圆。垂足圆是通过从任意点向三角形的边（可能延长）作垂线，垂足所在的圆。使用了Segment, Mirror, Circle, Center, Midpoint, Line, OrthogonalLine, Intersect等GeoGebra命令。适合高中几何学习者和数学爱好者。

GeoGebra 命令及参数

  1. Segment(A, B) → a
  2. Segment(B, C) → b
  3. Segment(C, A) → c
  4. Mirror(P, c) → P'_3
  5. Mirror(P, a) → P'_1
  6. Mirror(P, b) → P'_2
  7. Circle(P'_3, P'_1, P'_2) → d
  8. Center(d) → Q
  9. Mirror(Q, c) → Q'_3
  10. Mirror(Q, a) → Q'_1
  11. Mirror(Q, b) → Q'_2
  12. Circle(Q'_1, Q'_3, Q'_2) → g
  13. Midpoint(Q, P) → J
  14. Segment(Q, P) → l
  15. Line(A, B) → m
  16. Line(C, A) → n
  17. Line(B, C) → q
  18. OrthogonalLine(Q, q) → e
  19. OrthogonalLine(P, q) → f
  20. OrthogonalLine(Q, m) → h
  21. OrthogonalLine(P, m) → i
  22. OrthogonalLine(P, n) → j
  23. OrthogonalLine(Q, n) → k
  24. Intersect(m, i) → D
  25. Intersect(h, m) → E
  26. Intersect(q, e) → F
  27. Intersect(q, f) → G
  28. Intersect(j, n) → H
  29. Intersect(k, n) → I
  30. Circle(D, H, F) → p