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探索角边角（ASA）定理 by ryanmurphy

探索角边角（ASA）定理 by ryanmurphy
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2018-11-01 06:07
测试改名0角向量几何作图
①本范例演示了通过已知两角和它们夹边构造三角形的过程；②涉及核心数学概念包括角、边、三角形构造、几何作图；③作图要点：使用Polygon, Circle, Point, Segment, Intersect, Ray, Angle, Distance等GeoGebra命令和对象进行精确构造；④适合高中数学教学和学生几何作图能力培养。

GeoGebra 命令及参数

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Circle(A', Segment[B, A]) → d
  3. Point(d) → B'
  4. Segment(A', B') → e
  5. Point(c) → D
  6. Point(b) → E
  7. Circle(A', Segment[E, A]) → f
  8. Circle(A', Segment[D, A]) → g
  9. Intersect(g, e, 1) → F
  10. Circle(F, Segment[E, D]) → h
  11. Intersect(f, h, 1) → G
  12. Ray(A', G) → i
  13. Point(i) → C'_2
  14. Segment(A', C'_2) → j
  15. Point(a) → I
  16. Point(c) → J
  17. Circle(B', Segment[I, B]) → k
  18. Circle(B', Segment[J, B]) → p
  19. Intersect(p, e, 1) → K
  20. Circle(K, Segment[I, J]) → q
  21. Intersect(k, q, 2) → L
  22. Ray(B', L) → l
  23. Point(l) → C'_1
  24. Segment(C'_1, B') → m
  25. Intersect(j, m) → C'
  26. Angle(B, A, C) → α
  27. Angle(A, C, B) → β
  28. Angle(C, B, A) → γ
  29. Angle(A', C', B') → ε
  30. Distance(c, b) → n
  31. Distance(B', A') → distanceB'A'
  32. Distance(A', C') → distanceA'C'
  33. Distance(C', B') → distanceC'B'
  34. Angle(C'_1, B', A') → δ
  35. Angle(B', A', C'_2) → ζ
  36. Polygon(A', B', C') → poly2, c', a', b'