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多边形面积测量 by Shum Kwok Ching

多边形面积测量 by Shum Kwok Ching
几何画板及绘图内容加载中，请稍等……
2017-04-04 17:24
多边形解析几何几何作图
本范例演示如何测量多边形的面积。核心数学概念包括多边形的面积计算。通过使用GeoGebra命令如Segment, Vector, Point等进行几何作图。适合初中及以上学生或教师教学使用。

GeoGebra 命令及参数

  1. Segment(X0, X0 + (0, 0.25)) → g
  2. Segment(X0, X0 + (0, mark)) → h
  3. Segment(X0 + (1, 0), X0 + (1, mark)) → i
  4. Vector(X0 + (0, mark / 2), X0 + (1, mark / 2)) → u
  5. Vector(X0 + (1, mark / 2), X0 + (0, mark / 2)) → v
  6. Segment(Y0 - (mark, 0), Y0) → j
  7. Segment(Y0 - (mark, 1), Y0 - (0, 1)) → k
  8. Vector(Y0 - (mark / 2, 1), Y0 - (mark / 2, 0)) → w
  9. Vector(Y0 - (mark / 2, 0), Y0 - (mark / 2, 1)) → z
  10. Segment((3, -1), (3, 3)) → l
  11. Point(yAxis) → A
  12. Intersect(xAxis, yAxis) → B
  13. Point(xAxis) → C
  14. Point(xAxis) → E
  15. Point(yAxis) → F
  16. Rotate(A, (-180° * t1), D) → A'
  17. Rotate(F, (-180° * t1), D) → F'
  18. Rotate(D, (-180° * t1), D) → D'
  19. Polygon(A', F', D') → poly1, d', a', f'
  20. Rotate(C, (180° * t2), D) → C'
  21. Rotate(D, (180° * t2), D) → D'_1
  22. Rotate(E, (180° * t2), D) → E'
  23. Polygon(C', D'_1, E') → poly2, e', c', d'_1
  24. Polygon(A', F', D') → poly1', d'_2, a'_1, f'_1
  25. Polygon(C', D'_1, E') → poly2', e'_1, c'_1, d'_3
  26. Polygon(B, E, D, F) → poly3, b, e, d, f
  27. Polygon(A, B, C) → poly4, c, a, b_1
  28. Polygon(A, F, D, E, C) → poly5, a_1, f_1, d_1, e_1, c_1