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圆的面积 by Alex H.

圆的面积 by Alex H.
几何画板及绘图内容加载中，请稍等……
2019-05-12 18:11
圆几何作图滑块动画
本范例演示如何通过改变圆的半径来探索圆的面积。核心数学概念包括圆的面积公式和几何作图。使用了GeoGebra中的Circle, Polygon, Point, Segment, Midpoint, OrthogonalLine等命令。适合初中及以上学生学习几何和面积计算。

GeoGebra 命令及参数

  1. Min(Max[betaRegularized(2, 2.3, Extend), 0.0001], 0.9999) → Animat1
  2. Sequence(A + (0, (-i)), i, R / m, R, R / m) → Pointdebut
  3. Zip(Circle[C, B], B, Pointdebut) → Cercles
  4. Zip(Rotate[B, ((((360 * ° / (((2 * Radius[K]) * π))) * 2) * Distance[A, B]) * π), C], K, Cercles, B, Pointdebut) → PointFins
  5. Element(PointFins, Length[PointFins]) → B'
  6. Segment(B, B') → b
  7. Midpoint(B, B') → D
  8. OrthogonalLine(D, b) → c
  9. PolyLine(Append[A, PointFins]) → ABS
  10. Intersect(c, ABS) → K
  11. Rotate(D, d, K) → D'
  12. Vector(D', K) → v
  13. Rotate(B', d, K) → B''
  14. Vector(K, B'') → u
  15. Circle(A, R) → a
  16. Zip(CircleArc[C, B, B'], B, Pointdebut, B', PointFins) → Arcs
  17. Segment(A, B') → g
  18. Segment(A, B) → h
  19. Element(Arcs, m) → aa
  20. Midpoint(h) → E
  21. Zip(CircleArc[C, B, B'], B, Pointdebut, B', PointFins / 2) → liste2
  22. Sequence(Intersect[Element[Arcs, i], c], i, 1, Length[Arcs]) → liste3
  23. Polygon(B'', D', K) → poly2, k, b'', d'
  24. Intersect(aa, b, 2) → L
  25. Polygon(D, L, K) → poly3, k_1, d_1, l
  26. Sequence(D' + (i * v), i, 0, 1, 2 / Length[Pointdebut]) → liste4
  27. Segment(D, K) → e
  28. Sequence(OrthogonalLine[Element[liste4, i], b''], i, 1, Length[liste4]) → liste6
  29. Sequence(Intersect[Element[liste6, i], d'], i, 1, Length[liste6]) → liste7
  30. Sequence(Segment[Element[liste4, i], Element[liste7, i]], i, 1, Length[liste4]) → liste1
  31. Point(h) → M
  32. Segment(M, D) → i