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五边形十二面体

五边形十二面体
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2019-06-12 22:55
多边形立体几何几何作图
①本范例演示五边形十二面体的几何构造与性质；②涉及核心数学概念包括多边形、立体几何、对称性、球体、几何变换等；③作图要点运用了Polygon（多边形）、Dodecahedron（十二面体）、Barycenter（重心）、Sphere（球体）、PointIn（点在对象上）、Segment（线段）等GeoGebra命令；④适合高中及以上学生及数学爱好者用于学习立体几何与几何作图。

GeoGebra 命令及参数

  1. Polygon(A, B, 5) → poly1, f, g, h, i, j, C, D, E
  2. Dodecahedron(poly1, true) → a, F, O, P, Q, R, S, T, faceAEIOJ, faceABFKJ, faceBCGLF, faceCDHMG, G, faceDEINH, faceINSTO, faceJKPTO, faceFKPQL, faceGLQRM, faceHMRSN, facePQRST, edgeAJ, edgeEI, edgeIO, H, edgeJO, edgeJK, edgeFK, edgeBF, edgeFL, edgeGL, edgeCG, edgeGM, edgeHM, edgeDH, I, edgeHN, edgeIN, edgeNS, edgeST, edgeOT, edgePT, edgeKP, edgePQ, edgeLQ, edgeQR, J, edgeMR, edgeRS, K, L, M, N
  3. Barycenter({M, G, L, F, K, J, O, I, N, H, R, Q, P, T, S, D, C, B, A, E}, {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}) → SUN
  4. Sphere(SUN, L) → b
  5. PointIn(b) → earth
  6. Segment(Q, earth) → g_1
  7. Segment(R, earth) → f_1
  8. Segment(D, earth) → e
  9. Segment(S, earth) → d
  10. Segment(I, earth) → c
  11. Segment(N, earth) → k_2
  12. Segment(H, earth) → l
  13. Segment(M, earth) → m
  14. Segment(G, earth) → n
  15. Segment(L, earth) → p
  16. Segment(F, earth) → q
  17. Segment(K, earth) → r
  18. Segment(J, earth) → s
  19. Segment(O, earth) → t
  20. Segment(B, earth) → h_1
  21. Segment(P, earth) → i_1
  22. Segment(A, earth) → j_1
  23. Segment(E, earth) → k_1
  24. Segment(T, earth) → l_1
  25. Segment(C, earth) → m_1
  26. Segment(SUN, earth) → n_1