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证明提示：垂直线的角

证明提示：垂直线的角
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2016-10-19 07:45
角解析几何几何作图
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 CCSS High School: Geometry (Congruence) Volume 2
本范例演示了两条相交线形成相等相邻角时，这两条线是垂直的。核心数学概念包括角、交点和直线。使用GeoGebra命令包括Line、Intersect、OrthogonalLine等。适合初中及以上学生学习几何证明。

GeoGebra 命令及参数

  1. Line(A, B) → f
  2. Circle(A, 1) → c
  3. Circle(B, 1) → d
  4. Intersect(d, f, 2) → C
  5. Intersect(c, f, 1) → D
  6. Ray(B, C) → g
  7. Ray(A, D) → h
  8. Segment(A, B) → i
  9. Point(i) → E
  10. Segment(E, B) → j
  11. Segment(E, A) → k
  12. OrthogonalLine(E, j) → l
  13. Min(k, j) → a
  14. Circle(E, (0.3 * a)) → e
  15. Intersect(e, j, 1) → F
  16. Intersect(e, l, 2) → G
  17. CircleSector(E, F, G) → p
  18. Intersect(e, k, 1) → H
  19. Intersect(e, l, 1) → I
  20. Point(l) → J
  21. Rotate(p, If[0 < b ≤ 1, (b * π / 2), π / 2], E) → p'
  22. Angle(J, E, B) → α