棱柱的展开图 by Ooi Soo Huat

棱柱的展开图 by Ooi Soo Huat
几何画板及绘图内容加载中,请稍等……
2017-12-22 21:58
所属专题 Mathematics Form 2
①本范例演示棱柱的展开图及其几何特性;②涉及核心数学概念包括立体几何、多边形、对称性及矩阵运算;③构造过程中运用了SelectedIndex, If, Sequence, Polygon, Prism, Net等GeoGebra命令与对象;④适合高中阶段学生及数学爱好者用于理解空间几何与组合图形。

GeoGebra 命令及参数

  1. SelectedIndex(Bahasa) → nn
  2. If(nn ≟ 1, {"Triangular", "Quadrilateral", "Pentagonal"}, {"Segi tiga", "Sisi empat", "Pentagon"}) → BilSisi
  3. SelectedIndex(BilSisi) → n
  4. Sequence(Rotate[A, ((t * 120))°, zAxis], t, 1, 2) → LTri
  5. Sequence(Rotate[A, ((t * 90))°, zAxis], t, 1, 3) → LQuad
  6. Sequence(Rotate[A, ((t * 72))°, zAxis], t, 1, 4) → LPen
  7. Polygon(A, B, C) → poly1, c, a, b_4
  8. Prism(poly1, 4.285904808998493) → d, O, edgeCQ, edgeOP, edgePQ, edgeOQ, P, Q, faceABPO, faceBCQP, faceACQO, faceOPQ, edgeAO, edgeBP
  9. Polygon(A, B, C, D) → poly2, a_{35}, b_5, c_1, d_1
  10. Polygon(A, B, C, D, E) → poly3, a_{36}, b_6, c_2, d_2, e_1
  11. Net(d, b) → b_1, R, H_1, face6, face7, face8, face9, face10, edge13, edge14, edge15, edge16, S, edge17, edge18, edge19, edge20, edge21, edge22, edge23, edge24, edge25, edge26, T, U, V, W, Z, A_1, B_1
  12. Prism(poly2, 3.6345952622693622) → f, R_1, edge36, edge37, edge38, edge39, edge40, edge42, edge43, edge41, S_1, T_1, U_1, face15, face17, face18, face16, face19
  13. Net(f, b) → b_2, V_1, H_2, I_2, J_2, K_2, L_2, face20, face21, face22, face23, face24, W_1, face25, edge44, edge45, edge46, edge47, edge48, edge49, edge50, edge51, edge52, Z_1, edge53, edge54, edge55, edge56, edge57, edge58, edge59, edge60, edge61, edge62, A_2, B_2, C_2, E_2, F_2, G_2
  14. Prism(poly3, 3.643982932330338) → o, M_2, face27, face31, edge63, edge64, edge65, edge66, edge67, edge68, edge70, edge71, N_2, edge72, edge69, O_2, P_2, Q_2, face26, face28, face29, face30
  15. Net(o, b) → b_3, R_2, C_3, D_3, E_3, F_3, G_3, H_3, I_3, J_3, K_3, face32, S_2, face33, face34, face35, face36, face37, face38, edge73, edge74, edge75, edge76, T_2, edge77, edge78, edge79, edge80, edge81, edge82, edge83, edge84, edge85, edge86, U_2, edge87, edge88, edge89, edge90, edge91, edge92, edge93, edge94, edge95, edge96, V_2, W_2, Z_2, A_3, B_3

AI 绘图提示语参考

绘制一个棱柱的展开图,展示其几何性质和对称性。首先绘制一个多边形底面,然后沿垂直方向延伸形成棱柱,最后展开棱柱得到一个平面图形,包含多个相连的多边形面,体现其空间结构和对称特征。
以上提示语为根据原始绘图命令整理而来,仅供参考。