15边形的面积与周长为180

15边形的面积与周长为180
几何画板及绘图内容加载中,请稍等……
2019-04-23 10:33
这个范例演示了15边形的面积计算,周长固定为180。涉及的核心数学概念包括多边形的面积计算和周长。通过使用GeoGebra命令如Intersect, Point, Vector, Polygon等进行几何作图。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Vector(A, C) → u
  4. Polygon(A, B, 15) → poly1, b, l, m, n, p, q, r, D, E, F, G, c, H, I, J, K, L, M, N, O, P, d, e, g, h, i, j, k
  5. LineBisector(l) → s
  6. LineBisector(g) → t
  7. Intersect(s, t) → Q
  8. Polygon(A, Q, B) → poly2, b_1, a_1, q_1
  9. Segment(P, Q) → c_1
  10. Segment(O, Q) → d_1
  11. Segment(N, Q) → e_1
  12. Segment(M, Q) → f_1
  13. Segment(L, Q) → g_1
  14. Segment(K, Q) → h_1
  15. Segment(J, Q) → i_1
  16. Segment(I, Q) → j_1
  17. Segment(H, Q) → k_1
  18. Segment(G, Q) → l_1
  19. Segment(F, Q) → m_1
  20. Segment(E, Q) → n_1
  21. Segment(D, Q) → p_1
  22. Translate(A, u) → A'
  23. Translate(Q, u) → Q'
  24. Translate(B, u) → B'
  25. Polygon(A', Q', B') → poly2', b', a', q'
  26. Angle(A, Q, B) → α
  27. OrthogonalLine(Q', q') → r_1
  28. Intersect(f, r_1, 1) → R
  29. Segment(Q', R) → s_1
  30. Angle(C, Q', R) → β
  31. Angle(Q', R, C) → γ
  32. PointIn(poly1) → Pointpoly1