二项式立方体 by Jennifer Silverman

二项式立方体 by Jennifer Silverman
几何画板及绘图内容加载中,请稍等……
2016-12-16 23:51
这个范例演示了二项式立方体的构造过程。核心数学概念包括立方体和立体几何。通过使用Polygon, Intersect, Prism等命令,可以构造出二项式立方体。适合初中及以上学生学习立体几何。

GeoGebra 命令及参数

  1. Polygon(A, D, E, B) → poly1, a_1, d, e, b_1
  2. Polygon(D, G, H, E) → poly3, d_1, g_1, h, e_2
  3. Polygon(E, H, I, F) → poly4, e_3, h_1, i, f_2
  4. Intersect(i, f_2) → P
  5. Prism(poly3, L) → f, S, edgeGS, edgeHT, edgeEU, edgeLS, edgeST, edgeTU, edgeLU, T, U, faceDGSL, faceGHTS, faceEHTU, faceDEUL, faceLSTU, edgeDL
  6. Polygon(B, C, P, E) → poly2, b_2, c, p, e_1
  7. Prism(poly2, K) → g, V, edgeCV, edgePW, edgeEZ, edgeKV, edgeVW, edgeWZ, edgeKZ, W, Z, faceBCVK, faceCPWV, faceEPWZ, faceBEZK, faceKVWZ, edgeBK
  8. Prism(poly1, J) → j, A_1, edge2, edge3, edge1, edge4, edge6, edge7, edge5, B_1, C_1, face2, face4, face3, face1, face5, edgeAJ
  9. Prism(poly4, B_1) → k, E_1, edge10, edge11, edge9, edge12, edge14, edge15, edge13, F_1, G_1, face7, face9, face8, face6, face10, edge8
  10. Prism(face5, H_1) → l, I_1, edge17, edge18, edge19, edge20, edge22, edge23, edge21, J_1, K_1, face11, face13, face14, face12, face15, edge16
  11. Intersect(edge19, edge23) → P_1
  12. Prism(faceKVWZ, P_1) → m, M_1, edge25, edge26, edge27, edge28, edge30, edge31, edge29, N_1, O_1, face16, face18, face19, face17, face20, edge24
  13. Intersect(edge17, edge20) → T_1
  14. Prism(faceLSTU, T_1) → n, Q_1, edge33, edge34, edge35, edge36, edge38, edge39, edge37, R_1, S_1, face21, face23, face24, face22, face25, edge32
  15. Intersect(edge31, edge35) → Z_1
  16. Prism(face10, Z_1) → o, U_1, edge41, edge42, edge43, edge44, edge46, edge47, edge45, V_1, W_1, face26, face28, face29, face27, face30, edge40

AI 绘图提示语参考

绘制一个二项式立方体,包含六个正方形面和一个中心立方体。首先绘制底面正方形,然后依次绘制其他五个正方形面,确保它们与底面正方形相邻。最后,构建中心立方体,使其与所有正方形面相交。
以上提示语为根据原始绘图命令整理而来,仅供参考。