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周长与面积比较 by Scott Farrar

周长与面积比较 by Scott Farrar
几何画板及绘图内容加载中，请稍等……
2016-01-26 04:38
多边形解析几何
所属专题 RectTri Area vs. Perimeter Drafts
①本范例通过动态演示多边形，直观比较周长与面积的变化关系；②涉及核心数学概念包括周长、面积、多边形、相似变换、矩阵运算；③作图要点运用了Line, OrthogonalLine, Intersect, Polygon, Point, Circle等GeoGebra命令及对象，如拖动多边形观察数值变化；④适合高中数学教学，用于理解几何变换对图形属性的影响。

GeoGebra 命令及参数

  1. Line(A, B) → l
  2. Line(R, xAxis) → a
  3. Line(DragRectangle, xAxis) → b
  4. OrthogonalLine(DragRectangle, b) → c
  5. OrthogonalLine(R, b) → d
  6. Intersect(b, d) → R_3
  7. Intersect(a, c) → R_4
  8. Polygon(R, R_4, DragRectangle, R_3) → poly1, a_1, d_1, b_1, c_1
  9. Point(l) → DragTriangle
  10. Point(l) → E
  11. Polygon(DragTriangle, E, 3) → poly2, e, f, g, G
  12. Polygon(H, T_2, T_1) → poly3, j, h, i
  13. Point(l) → DragSquare
  14. Point(l) → D
  15. Polygon(DragSquare, D, 4) → Square, m, n, p, q, F, I
  16. Point(l) → DragPentagon
  17. Point(l) → K
  18. Polygon(DragPentagon, K, 5) → Pentagon, r, s, t, e_1, f_1, L, M, N
  19. Point(l) → DragHexagon
  20. Point(l) → P
  21. Polygon(DragHexagon, P, 6) → Hexagon, g_1, U, h_1, i_1, j_1, k_1, l_1, Q, S, T
  22. Point(l) → W
  23. OrthogonalLine(W, l) → m_1
  24. Point(m_1) → DragCircle
  25. Circle(DragCircle, W) → p_1