长方体展开图 by Dave Pfaffle
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这个范例演示了长方体的展开图。它涉及长方体的几何构造,展示了如何通过旋转和平移将长方体转化为平面图形。使用了Point, Segment, Rotate, Polygon, Prism, Net, Midpoint等GeoGebra命令。适合初中及以上学生学习立体几何。
GeoGebra 命令及参数
Point(Circle[A, Length]) → BSegment(A, B) → aPoint(Circle[A, Width]) → CSegment(A, C) → bRotate(A, α, A) → A'Rotate(C, α, A) → C'Segment(A', C') → b'Point(Circle[B, Width]) → DSegment(B, D) → cRotate(B, α, B) → B'Rotate(D, α, B) → D'Segment(B', D') → c'Segment(C', D') → dPolygon(A, B, D', C') → poly1, a_1, b_1, d', c'_1Prism(poly1, Height) → e, E, edgeAE, edgeBF, edgeD'G, edgeC'H, edgeEF, edgeFG, edgeGH, edgeEH, F, G, H, faceABFE, faceBD'GF, faceC'D'GH, faceAC'HE, faceEFGHNet(e, Net) → g, I, R, S, T, U, V, faceIJKL, faceIJNM, faceJKPO, faceKLRQ, faceILST, J, faceMNUV, edgeIJ, edgeJK, edgeKL, edgeIL, edgeIM, edgeMN, edgeJN, edgeJO, edgeOP, K, edgeKP, edgeKQ, edgeQR, edgeLR, edgeLS, edgeST, edgeIT, edgeNU, edgeUV, edgeMV, L, M, N, O, P, QMidpoint(edgeEH) → WMidpoint(edgeGH) → ZMidpoint(edgeD'G) → A_1Midpoint(edgeIM) → B_1Midpoint(edgeUV) → C_1Midpoint(edgeMV) → D_1Midpoint(edgeJO) → E_1Midpoint(edgeOP) → F_1