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平行四边形的面积 by Cristina Masotta

平行四边形的面积 by Cristina Masotta
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2013-01-03 07:13
多边形解析几何几何作图
这个范例演示了如何通过计数方格来估算平行四边形的面积。核心概念包括平行四边形的面积计算、线段构造和几何作图。使用了Segment, Intersect, OrthogonalLine, Polygon等GeoGebra命令。适合初中及以上学生学习面积计算和几何作图。

GeoGebra 命令及参数

  1. Segment(E, B) → d
  2. Intersect(xAxis, yAxis) → A
  3. Segment(D, A) → b
  4. Segment(B, A) → a
  5. OrthogonalLine(B, a) → g
  6. Intersect(g, b) → J
  7. OrthogonalLine(J, g) → k
  8. Intersect(k, d) → L
  9. Segment(D, E) → c
  10. Segment(B, A) → e
  11. Segment(A, C) → f
  12. Intersect(g, c) → F
  13. Polygon(B, A, D, F) → Mangekant1, b_1, a_1, d_1, f_1
  14. Polygon(B, A, J) → Mangekant3, j, b_2, a_2
  15. Polygon(G, K, M) → Mangekant4, m, g_2, k_1
  16. OrthogonalLine(L, k) → l
  17. Intersect(c, l) → O
  18. Polygon(M, P, N, K) → Mangekant5, m_1, p, n, k_2
  19. Polygon(Q, R, H) → Mangekant6, h_1, q, r
  20. Polygon(G, I, S) → Mangekant7, s, g_3, i_1
  21. Polygon(B, A, D, E) → Mangekant2, b_3, a_3, d_2, e_1