立方体中的平面
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这个范例展示了立方体中的一个平面。它涉及立体几何中的核心概念。通过使用GeoGebra命令如Point、Cube、Intersect等,可以构造立方体及其面和边。适合初中及以上学生学习立体几何。
GeoGebra 命令及参数
Point(Circle[A, Distance[B, A], Segment[B, A]]) → CCube(B, A, C) → a, D, faceCDHG, faceEFGH, edgeBD, edgeAB, edgeAC, edgeCD, edgeBE, edgeDH, edgeEH, edgeEF, E, edgeAF, edgeFG, edgeCG, edgeGH, F, G, H, faceABDC, faceBDHE, faceABEF, faceACGFIntersect(edgeCG, g) → OIntersect(edgeAC, g) → PIntersect(edgeAB, g) → QIntersect(edgeBE, g) → RIntersect(edgeEH, g) → SIntersect(edgeGH, g) → TIntersect(edgeFG, g) → VIntersect(edgeEF, g) → WIntersect(edgeAF, g) → ZIntersect(edgeCD, g) → A_1Intersect(edgeDH, g) → B_1Intersect(edgeBD, g) → C_1Line(D, F) → iIntersectPath(g, a) → poly1, I, m, n, p, J, K, L, M, N, j, k, lAngle(poly1, poly1) → α, β, γ, δ, ε, ζAngle(Intersect[i, g] + Vector[(1, -1, 1)], Intersect[i, g], Intersect[i, g] + Vector[(1, 1, 0)]) → ηCircle(M, N, O) → cCircle(A_1, B_1, C_1) → dCircle(V, W, Z) → eSegment(F, Intersect[i, g]) → qSegment(Intersect[i, g], D) → r