正方形底面的棱锥体积

正方形底面的棱锥体积
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2019-08-09 23:33
这个范例演示了正方形底面的棱锥体积计算。涉及的核心数学概念包括棱锥体积公式和几何作图。通过使用GeoGebra命令如Cube, Net, Polygon, Pyramid等,可以构造棱锥的各个面和边。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. Cube(A, B, C) → Cube, D, faceCDHG, faceEFGH, edgeAD, edgeAB, edgeBC, edgeCD, edgeAE, edgeDH, edgeEH, edgeEF, E, edgeBF, edgeFG, edgeCG, edgeGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
  2. Net(Cube, b) → c, I, R, S, T, U, V, faceIJKL, faceILNM, faceIJRQ, faceJKTS, faceKLVU, J, faceMNOP, edgeIL, edgeIJ, edgeJK, edgeKL, edgeLN, edgeMN, edgeIM, edgeIQ, edgeQR, K, edgeJR, edgeJS, edgeST, edgeKT, edgeKU, edgeUV, edgeLV, edgeNO, edgeOP, edgeMP, L, M, N, O, P, Q
  3. Polygon(M, N, O, P) → q1, m, n, o, p
  4. Pyramid(q1, a / 2) → d, W, faceMNW, faceNOW, faceOPW, faceMPW, edgeMW, edgeNW, edgeOW, edgePW
  5. Polygon(I, L, N, M) → q2, i, l, n_1, m_1
  6. Pyramid(q2, a / 2) → e, Z, faceILZ, faceLNZ, faceMNZ, faceIMZ, edgeIZ, edgeLZ, edgeNZ, edgeMZ
  7. Polygon(K, L, V, U) → q3, k, l_1, v, u
  8. Pyramid(q3, ((-a)) / 2) → f, A_1, face1, face3, face4, face2, edge1, edge2, edge4, edge3
  9. Polygon(K, J, S, T) → q4, k_1, j, s, t
  10. Polygon(I, Q, R, J) → q5, i_1, q, r, j_1
  11. Pyramid(q5, a / 2) → g, B_1, face6, face8, face7, face5, edge5, edge7, edge8, edge6
  12. Pyramid(q4, a / 2) → h, C_1, face9, face10, face12, face11, edge10, edge9, edge11, edge12
  13. Polygon(J, I, L, K) → q6, j_2, i_2, l_2, k_2
  14. Pyramid(q6, ((-a)) / 2) → w, D_1, face13, face14, face16, face15, edge14, edge13, edge16, edge15