四棱锥体积计算
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本范例演示如何通过几何作图计算四棱锥的体积。核心数学概念包括立体几何中的体积计算。使用GeoGebra命令如Point, Cube, Net, Pyramid等构造四棱锥的各个面和棱。适合初中及以上学生学习立体几何。
GeoGebra 命令及参数
Point(yAxis) → BCube(A, B, xOyPlane) → a, C, faceBCGF, faceCDHG, faceEFGH, edgeAD, edgeAB, edgeBC, edgeCD, edgeAE, edgeDH, edgeEH, D, edgeEF, edgeBF, edgeFG, edgeCG, edgeGH, E, F, G, H, faceABCD, faceADHE, faceABFENet(a, 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, QPyramid(faceJKTS, 1) → d, W, faceJKW, faceJSW, faceSTW, faceKTW, edgeKW, edgeJW, edgeSW, edgeTWPyramid(faceIJKL, 1) → e, Z, faceILZ, faceIJZ, faceJKZ, faceKLZ, edgeLZ, edgeIZ, edgeJZ, edgeKZPyramid(faceIJRQ, 1) → f, A_1, face1, face2, face4, face3, edge2, edge1, edge3, edge4Pyramid(faceKLVU, 1) → g, B_1, face5, face6, face8, face7, edge6, edge5, edge7, edge8Pyramid(faceILNM, 1) → h, C_1, face9, face11, face12, face10, edge9, edge10, edge12, edge11Pyramid(faceMNOP, 1) → i, D_1, face13, face15, face16, face14, edge13, edge14, edge15, edge16