金字塔与立方体

金字塔与立方体
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2019-05-29 02:21
①本范例演示金字塔与立方体的几何构造与关系;②涉及核心数学概念包括立体几何、多边形、优化问题;③构造要点:使用Point, Cube, Pyramid命令创建了点、立方体和金字塔;④适合高中数学教学,用于理解空间几何体构造与性质。

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_1, faceEFGH_1, edgeAD_1, edgeAB_1, edgeBC_1, edgeCD_1, edgeAE_1, edgeDH_1, edgeEH_1, edgeEF_1, E, edgeBF_1, edgeFG_1, edgeCG_1, edgeGH_1, F, G, H, faceABCD_1, faceADHE_1, faceABFE_1, faceBCGF_1
  3. Point(zAxis) → I
  4. Pyramid(H, E, F, G, I) → b, faceEFGH, edgeHI_1, edgeEI_1, edgeFI_1, edgeGI_1, faceEHI_1, faceEFI_1, faceFGI_1, faceGHI_1, edgeEH_2, edgeEF_2, edgeFG_2, edgeGH_2
  5. Pyramid(G, F, B, C, I) → c, faceBCGF, edgeGI_2, edgeFI_2, edgeBI_1, edgeCI_1, faceFGI, faceBFI_1, faceBCI_1, faceCGI_1, edgeFG, edgeBF_2, edgeBC_2, edgeCG_2
  6. Pyramid(A, E, F, B, I) → d, faceABFE, edgeAI_1, edgeEI_2, edgeFI, edgeBI_2, faceAEI_1, faceEFI, faceBFI, faceABI_1, edgeAE_2, edgeEF, edgeBF, edgeAB_2
  7. Pyramid(H, E, A, D, I) → e, faceADHE, edgeHI_2, edgeEI, edgeAI_2, edgeDI_1, faceEHI, faceAEI, faceADI_1, faceDHI_1, edgeEH, edgeAE, edgeAD_2, edgeDH_2
  8. Pyramid(C, D, A, B, I) → f, faceABCD, edgeCI_2, edgeDI_2, edgeAI, edgeBI, faceCDI_1, faceADI, faceABI, faceBCI, edgeCD_2, edgeAD, edgeAB, edgeBC
  9. Pyramid(G, H, D, C, I) → g, faceCDHG, edgeGI, edgeHI, edgeDI, edgeCI, faceGHI, faceDHI, faceCDI, faceCGI, edgeGH, edgeDH, edgeCD, edgeCG