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Regular Dodecagon Area Problem (II)

Regular Dodecagon Area Problem (II)
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2017-02-21 23:18
PolygonTrigonometryGeometric Construction
This example demonstrates the calculation and geometric properties of a regular dodecagon's area. Core math concepts include area formulas, similar triangles, and properties of regular polygons. Construction involves commands like Polygon, Circle, Center, Segment in GeoGebra. Suitable for high school mathematics teaching and geometric construction practice.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 12) → poly1, f, p, q, r, C, D, E, F, G, H, I, g, J, K, L, h, i, j, k, l, m, n
  2. Circle(A, B, C) → c
  3. Center(c) → M
  4. Polygon(J, H, G, E) → poly2, j_1, h_1, g_1, e_1
  5. Segment(K, L) → s
  6. Segment(L, A) → t
  7. Segment(A, B) → a
  8. Segment(B, C) → b
  9. Segment(C, D) → d
  10. Segment(D, E) → e
  11. Segment(E, F) → f_1
  12. Segment(F, G) → i_1
  13. Segment(G, H) → l_1
  14. Segment(H, I) → m_1
  15. Segment(I, J) → n_1
  16. Segment(J, K) → p_1
  17. Polygon(K, A, 3) → poly3, k_1, q_1, r_1, N
  18. Polygon(B, D, M) → poly4, m_2, b_1, d_1