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SSA 条件能否判定三角形全等？

SSA 条件能否判定三角形全等？
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2015-12-17 01:50
测试改名0圆角向量几何作图
所属专题 Congruence (CO) Cluster Congruence (Vol 1) Congruence (Vol 1) Over 80 Resources Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 S N ATTAR CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 Unit 5: Triangle Congruence Triangle Congruence Theorems 1
① 本范例演示在给定两边及非夹角（SSA）条件下，能否唯一确定一个三角形，展示模糊情况与可能的两个解。② 涉及核心数学概念：三角形全等判定、SSA 模糊案例、角度与边长关系、几何作图验证。③ 作图要点：使用 Circle（圆）构造定长边的轨迹，Point、Segment、Ray、Vector 定义顶点与向量，Translate 实现平移复制，Angle 测量角度，Polygon 生成三角形区域。④ 适合高中几何课堂讲解全等条件、教师演示及学生自主探究。

GeoGebra 命令及参数

  1. Circle(B, B_1) → c
  2. Point(c) → A
  3. Point(c) → D
  4. Segment(B, A) → a
  5. Segment(B, D) → b
  6. Segment(D, A) → d
  7. Ray(A, D) → e
  8. Point(e) → E_1
  9. Ray(D, E_1) → f
  10. Point(f) → C
  11. Segment(B, C) → g
  12. Segment(D, C) → h
  13. Vector((0, 0), (0, -3)) → u
  14. Translate(B, u) → F
  15. Translate(A, u) → E
  16. Segment(F, E) → a'
  17. Translate(B, u) → A'_1
  18. Translate(D, u) → H
  19. Segment(A'_1, H) → b'
  20. Translate(D, u) → D'_1
  21. Translate(A, u) → C'_1
  22. Segment(D'_1, C'_1) → d'
  23. Translate(B, u) → A'_2
  24. Translate(C, u) → G
  25. Segment(A'_2, G) → g'
  26. Translate(D, u) → H_1
  27. Translate(C, u) → F'_1
  28. Segment(H_1, F'_1) → h'
  29. Segment(E, G) → i
  30. Segment(A, C) → j
  31. Angle(B, C, A) → α
  32. Angle(F, G, H) → β
  33. Polygon(A, B, C) → poly1, c_1, a_1, b_1
  34. Polygon(F, G, H) → poly2, h_1, f_1, g_1