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量度多边形面积：几何作图与面积计算 by tawkac

量度多边形面积：几何作图与面积计算 by tawkac
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2019-04-02 01:08
多边形解析几何几何作图
这个范例演示了如何通过几何作图计算多边形的面积。核心数学概念包括多边形面积公式、几何变换和坐标几何。作图要点涉及使用GeoGebra命令如Intersect、Rotate、Polygon等来构造多边形对象。适合初中或高中数学学习，用于理解面积计算和几何变换的应用。

GeoGebra 命令及参数

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