立方体中的金字塔有多少个?

立方体中的金字塔有多少个?
几何画板及绘图内容加载中,请稍等……
2019-05-14 22:16
这个范例演示了如何在立方体中找到多个金字塔。核心数学概念包括立体几何和相似变换。通过使用GeoGebra命令如Point, Cube, Pyramid, Vector, Translate等,可以构造出立方体和多个金字塔。适合初中及以上学生学习立体几何。

GeoGebra 命令及参数

  1. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  2. Cube(A, B, C) → a, D, faceCDHG, faceEFGH_1, edgeAD_1, edgeAB_1, edgeBC_1, edgeCD_1, edgeAE_1, edgeDH_1, edgeEH_1, edgeEF_1, E, edgeBF, edgeFG_1, edgeCG, edgeGH_1, F, G, H, faceABCD_1, faceADHE_1, faceABFE, faceBCGF
  3. Pyramid(H, E, F, G, I) → b, faceEFGH, edgeHI, edgeEI, edgeFI, edgeGI, faceEHI, faceEFI, faceFGI, faceGHI, edgeEH_2, edgeEF, edgeFG, edgeGH
  4. Pyramid(D, C, B, A, J) → c, faceABCD, edgeDJ_1, edgeCJ, edgeBJ, edgeAJ_1, faceCDJ, faceBCJ, faceABJ, faceADJ_1, edgeCD, edgeBC, edgeAB, edgeAD_2
  5. Vector(K, L) → u
  6. Translate(b, u) → c'
  7. Pyramid(D, A, E, H, J) → d, faceADHE, edgeDJ, edgeAJ, edgeEJ, edgeHJ, faceADJ, faceAEJ, faceEHJ, faceDHJ, edgeAD, edgeAE, edgeEH, edgeDH
  8. Vector(M, N) → v
  9. Translate(d, v) → d'