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三角形的外心 by Tim Brzezinski

三角形的外心 by Tim Brzezinski
几何画板及绘图内容加载中，请稍等……
2015-08-09 12:33
测试改名0圆解析几何
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 Gail LeBlancCCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 Triangle Theorems Triangles: Points of Concurrency
该范例展示了三角形的外心，通过绘制三角形的垂直平分线来帮助学生发现外心的性质。核心数学概念包括垂直平分线和外心。使用了Segment, LineBisector, Polygon等GeoGebra命令。适合初中及以上学生学习几何作图。

GeoGebra 命令及参数

  1. Segment(J, L) → a
  2. Segment(L, K) → b
  3. Segment(K, J) → c
  4. LineBisector(a) → g
  5. LineBisector(c) → h
  6. LineBisector(b) → i
  7. Angle(a, g) → α
  8. Angle(b, i) → β
  9. Angle(c, h) → γ
  10. Intersect(g, a) → D
  11. Intersect(i, b) → E
  12. Intersect(h, c) → F
  13. Segment(J, D) → d
  14. Segment(D, L) → e
  15. Segment(L, E) → f
  16. Segment(E, K) → j
  17. Segment(K, F) → k
  18. Segment(F, J) → l
  19. Intersect(g, h) → C
  20. Angle(D, J, F) → δ
  21. Angle(F, K, E) → ε
  22. Angle(E, L, D) → ζ
  23. Polygon(J, K, L) → poly1, l_1, j_1, k_1