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全等线段快速探索

全等线段快速探索
几何画板及绘图内容加载中，请稍等……
2016-03-20 09:21
向量变换几何作图
所属专题 Congruence (CO) Cluster Congruence (Vol 1) Congruence (Vol 1) Over 80 Resources CCSS High School: Geometry (Congruence) Volume 1 S N ATTAR 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 CCSS High School: Geometry (Congruence) Volume 1 Points, Lines, Planes, and Angles Points, Lines, Planes, and Angles Geometry: Introductory Definitions, Postulates, Theorems
①本范例通过动态演示向量和旋转变换，直观展示线段全等的几何定义；②涉及核心概念包括全等、旋转、平移、向量、角度等；③构造要点运用了Segment、Point、Rotate、Translate、Vector等GeoGebra命令；④适合初中及以上学生用于理解变换几何与全等概念。

GeoGebra 命令及参数

  1. Segment(A, B) → a
  2. Point(Circle[C, a]) → D
  3. Segment(C, D) → b
  4. Dilate(A, If[0 < c ≤ 1, 1 - c, 0], D) → A'
  5. Vector(A, A') → u
  6. Line(A, D) → d
  7. Vector(A, D) → v
  8. Translate(A, v) → A'_2
  9. Translate(B, v) → B'_1
  10. Segment(A'_2, B'_1) → a'_1
  11. Angle(C, D, B'_1) → α
  12. Translate(A, u) → A'_1
  13. Translate(B, u) → B'
  14. Segment(A'_1, B') → a'
  15. Rotate(A'_1, If[1 < c ≤ 2, ((-(c - 1)) * α), (-α)], A'_1) → E
  16. Rotate(B', If[1 < c ≤ 2, ((-(c - 1)) * α), (-α)], A'_1) → B''
  17. Segment(E, B'') → a''
  18. Circle(D, 1) → e
  19. Intersect(e, a'_1, 1) → F
  20. Intersect(e, b, 1) → G
  21. Intersect(e, a'_1, 1) → H
  22. Intersect(e, a'', 1) → I
  23. CircleSector(D, I, H) → f

AI 绘图提示语参考

画两条线段，第一条线段上取一点，以该点为圆心画圆，圆与第一条线段交于另一点，连接这两点形成第二条线段。以第一条线段为基准，通过旋转和向量平移，生成第二条线段的旋转和平移副本。利用圆和线段交点，绘制扇形，展示旋转和平移的几何变换关系。
以上提示语为根据原始绘图命令整理而来，仅供参考。