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破损的量角器

破损的量角器
几何画板及绘图内容加载中，请稍等……
2018-01-24 01:27
角几何作图滑块动画
所属专题 Lines and Angles
这个范例演示了一个破损的量角器如何测量角度。核心数学概念包括角的测量和几何作图。使用了RandomElement, Sequence, Arc, Segment, Point, If, Vector, Angle, Text等GeoGebra命令。适合初中及以上学生学习角度测量和几何作图。

GeoGebra 命令及参数

  1. RandomElement({"L", "R"}) → zeroOn
  2. Sequence(Segment[((0.93 * cos(i°)), (0.93 * sin(i°))), (cos(i°), sin(i°))], i, 5, 175, 5) → fives
  3. Sequence(Segment[((0.96 * cos(i°)), (0.96 * sin(i°))), (cos(i°), sin(i°))], i, 1, 179, 1) → ones
  4. Arc(x^(2) + y^(2) = 1, (1, 0), (-1, 0)) → c
  5. Sequence(Segment[((0.9 * cos(i°)), (0.9 * sin(i°))), (cos(i°), sin(i°))], i, 0, 180, 10) → tens
  6. Segment(A, B) → f
  7. Segment(C, D) → g
  8. Point(c) → E
  9. Segment(E, F) → h
  10. Segment(F, G) → i
  11. Point(c) → H
  12. Segment(G, H) → j
  13. Sequence(Text[If[zeroOn ≟ "R", i, 180 - i] + "°", Point[{(0.813 * cos(i°)) - (0.04 * abs(cos(i°) - (0.28 * (i ≟ 90)))), (0.813 * sin(i°)) - (0.02 * abs(cos(i°)))}]], i, 0, 180, 10) → L_1
  14. If(zeroOn ≟ "R", angleMeasure, 180° - angleMeasure) → shownAngleMeasure
  15. Vector(((1.15 * cos(shownAngleMeasure)), (1.15 * sin(shownAngleMeasure))), (cos(shownAngleMeasure), sin(shownAngleMeasure))) → v
  16. If(zeroOn ≟ "L", (-1, 0), (1, 0)) → zeroPoint
  17. Vector((0, 0), zeroPoint) → ray1
  18. Vector((0, 0), (cos(shownAngleMeasure), sin(shownAngleMeasure))) → ray2
  19. Angle(ray1, ray2) → α
  20. Text(angleMeasure, ((0.5 * cos(textAngle)), (1 / 3 * sin(textAngle)))) → angleText