五立方体组合
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这个范例展示了五立方体组合的几何构造。它涉及立方体的几何性质和旋转变换。通过使用GeoGebra命令如Intersect、Point、Circle、Rotate等,可以直观地理解立方体之间的相互关系。适合初中及以上学生学习立体几何。
GeoGebra 命令及参数
Intersect(xAxis, yAxis) → B_1Point(yAxis) → C_1Circle(B_1, C_1) → sIntersect(s, xAxis, 2) → D_1Rotate(D_1, a°, B_1) → ARotate(D_1, a° + 72°, B_1) → BDodecahedron(A, B, Point[Circle[((A * (1 - sqrt(5))) + (B * (3 + sqrt(5)))) / 4, (Distance[A, B] * sqrt(10 + (2 * sqrt(5))) / 4), Segment[A, B]]]) → a_1, D, M, N, O, P, Q, R, S, T, 면1, 면2, E, 면3, 면4, 면5, 면6, 면7, 면8, 면9, 면10, 면11, 면12, F, 모서리1, 모서리2, 모서리3, 모서리4, 모서리5, 모서리6, 모서리7, 모서리8, 모서리9, 모서리10, G, 모서리11, 모서리12, 모서리13, 모서리14, 모서리15, 모서리16, 모서리17, 모서리18, 모서리19, 모서리20, H, 모서리21, 모서리22, 모서리23, 모서리24, 모서리25, 모서리26, 모서리27, 모서리28, 모서리29, 모서리30, I, J, K, LIntersect(모서리3, 모서리15) → CCube(R, T, I) → d, U, face1, face3, edgeRU, edgeRT, edgeIT, edgeIU, edgeRV, edge1, edge2, edgeVW, V, edgeTW, edgeWZ, edgeIZ, edge3, W, Z, A_1, faceITRU, face2, faceRTWV, faceITWZCube(S, P, J) → g, E_1, face6, face9, edge7, edgePS, edgeJP, edge4, edge8, edge9, edge11, edge10, F_1, edge6, edge12, edge5, edge13, G_1, H_1, I_1, face4, face8, face7, face5Cube(T, Q, F) → j, J_1, face12, face15, edge17, edgeQT, edgeFQ, edge14, edge18, edge19, edge21, edge20, K_1, edge16, edge22, edge15, edge23, L_1, M_1, N_1, face10, face14, face13, face11Cube(P, R, G) → m, O_1, face18, face21, edge26, edgePR, edgeGR, edge24, edge27, edge29, edge31, edge30, P_1, edge28, edge32, edge25, edge33, Q_1, R_1, S_1, face16, face20, face19, face17Cube(Q, S, U) → p, T_1, face26, face27, edge34, edgeQS, edgeSU, edge37, edge35, edge39, edge41, edge40, U_1, edge36, edge42, edge38, edge43, V_1, W_1, Z_1, face22, face24, face23, face25