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面积与周长探究

面积与周长探究
几何画板及绘图内容加载中，请稍等……
2017-01-06 05:34
多边形解析几何几何作图
本范例演示了如何通过几何作图探究多边形的面积与周长。核心数学概念包括多边形、线段、圆、角等。使用了Point、PolyLine、Polygon、Segment等GeoGebra命令进行构造。适合初中及以上学生或教师使用。

GeoGebra 命令及参数

  1. Point(Segment[Intersect[a, x = 1], Intersect[a, y = 1]]) → P
  2. PolyLine(O, A, P, B, O) → b
  3. Intersect(Segment[A, P], Segment[Q, Q_2]) → C
  4. Polygon(O, A, C, Q_2) → poly1, o, a_1, c, q_2
  5. Segment(Q_2, C) → e
  6. Segment(C, Q) → f
  7. LineBisector(Q_2, C) → k
  8. LineBisector(B, Q) → l
  9. Intersect(k, l) → I
  10. Rotate(A, (90° * t), I) → A'_1
  11. Rotate(Q_1, (90° * t), I) → J
  12. Rotate(Q, (90° * t), I) → Q'_1
  13. Rotate(C, (90° * t), I) → C'_1
  14. Polygon(A'_1, J, Q'_1, C'_1) → poly3, a'_1, j_1, q'_1, c'_1
  15. Intersect(Segment[B, P], Segment[Q, Q_1]) → D
  16. Polygon(O, Q_1, D, B) → poly2, o_1, q_1, d, b_1
  17. LineBisector(D, Q_1) → g
  18. LineBisector(Q, A) → h
  19. Intersect(h, g) → E
  20. Rotate(B, (-90° * t), E) → B'
  21. Rotate(D, (-90° * t), E) → D'
  22. Rotate(Q, (-90° * t), E) → Q'
  23. Rotate(Q_2, (-90° * t), E) → F
  24. Polygon(B', D', Q', F) → poly4, b', d', q', f_1