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垂径定理（第二部分）

垂径定理（第二部分）
几何画板及绘图内容加载中，请稍等……
2016-06-20 20:14
测试改名0圆几何作图
所属专题 Congruence (CO) Cluster Congruence (Vol 2) CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 Gail LeBlancCCSS High School: Geometry (Congruence) Volume 2
本范例演示垂径定理的更多推导版本。它涉及圆的性质和几何作图。通过使用GeoGebra命令如Segment, LineBisector, Circle, Intersect等，可以清晰地展示垂径定理的核心概念。适合初中及以上学生学习几何作图和圆的相关性质。

GeoGebra 命令及参数

  1. Segment(A, B) → f
  2. LineBisector(f) → p
  3. Point(p) → C
  4. Midpoint(f) → C_1
  5. Circle(C_1, (0.1 * f)) → c
  6. Intersect(c, f, 2) → D
  7. Intersect(c, p, 2) → E
  8. Dilate(A, If[0 < a ≤ 1, 1 - a, 0], C_1) → A'
  9. Segment(A, A') → h
  10. Dilate(C_1, If[1 < a ≤ 2, 2 - a, 0], B) → C'
  11. Segment(C_1, C') → i
  12. Rotate(A, If[2 < a ≤ 3, ((-(a - 2)) * π), (-π)], C_1) → A'_1
  13. Rotate(A', If[2 < a ≤ 3, ((a - 2) * π), π], C_1) → A''
  14. Segment(A'_1, A'') → h'
  15. Dilate(A, If[0 < e ≤ 1, 1 - e, 0], C) → A'_2
  16. Segment(A, A'_2) → g
  17. Dilate(B, If[1 < e ≤ 2, 2 - e, 0], C) → B'
  18. Segment(B, B') → j
  19. Angle(A, C, B) → α
  20. Rotate(A, If[2 < e ≤ 3, ((e - 2) * α), α], C) → A'_3
  21. Rotate(A'_2, If[2 < e ≤ 3, ((e - 2) * α), α], C) → G
  22. Segment(A'_3, G) → g'
  23. Angle(C, C_1, A) → β