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线段中点定义交互式演示

线段中点定义交互式演示
几何画板及绘图内容加载中，请稍等……
2016-06-03 06:32
向量解析几何几何作图
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 Points, Lines, Planes, and Angles Points, Lines, Planes, and Angles Geometry: Introductory Definitions, Postulates, Theorems Congruence: Volume 1 - Chapter 1
①本范例通过交互式方式演示线段中点的定义与性质；②涉及的核心数学概念包括线段、中点、坐标几何、几何作图；③作图要点：使用 GeoGebra 命令 Segment（线段）、Midpoint（中点）、Circle（圆）、Intersect（相交）、Dilate（缩放）、Rotate（旋转）等构建图形；④适合初中及以上学生学习几何作图与坐标几何，也可用于高中数学教学演示。

GeoGebra 命令及参数

  1. Segment(A, B) → f
  2. Midpoint(f) → M
  3. Circle(M, (0.1 * f)) → c
  4. Intersect(c, f, 2) → D
  5. Dilate(A, If[0 < a ≤ 1, 1 - a, 0], M) → A'
  6. Segment(A, A') → h
  7. Dilate(M, If[1 < a ≤ 2, 2 - a, 0], B) → C'
  8. Segment(M, C') → i
  9. Rotate(A, If[2 < a ≤ 3, ((-(a - 2)) * pi), (-pi)], M) → A'_1
  10. Rotate(A', If[2 < a ≤ 3, ((a - 2) * pi), pi], M) → A''
  11. Segment(A'_1, A'') → h'