十二面体AR探索模板

几何画板及绘图内容加载中，请稍等……

2020-04-17 09:44

多边形立体几何几何作图

所属专题 GeoGebra 3D Grafikrechner mit AR - Beispielsammlung

①本范例演示十二面体的三维模型及其展开图；②涉及的核心数学概念包括多边形、立体几何、展开图；③作图要点：使用Intersect（相交）、Point（点）、Dodecahedron（十二面体）、Net（展开图）等GeoGebra命令和对象；④适合高中及以上学生或数学爱好者用于AR技术结合几何学习的探索。

GeoGebra 命令及参数

Intersect(zAxis, xAxis) → A
Point(xAxis) → B
Point(Circle[((A * (1 - sqrt(5))) + (B * (3 + sqrt(5)))) / 4, (Distance[A, B] * sqrt(10 + (2 * sqrt(5))) / 4), Segment[A, B]]) → C
Dodecahedron(A, B, C) → a, D, M, N, O, P, Q, R, S, T, faceABCDE, faceAEIOJ, E, faceABFKJ, faceBCGLF, faceCDHMG, faceDEINH, faceINSTO, faceJKPTO, faceFKPQL, faceGLQRM, faceHMRSN, facePQRST, F, edgeAE, edgeAB, edgeBC, edgeCD, edgeDE, edgeAJ, edgeEI, edgeIO, edgeJO, edgeJK, G, edgeFK, edgeBF, edgeFL, edgeGL, edgeCG, edgeGM, edgeHM, edgeDH, edgeHN, edgeIN, H, edgeNS, edgeST, edgeOT, edgePT, edgeKP, edgePQ, edgeLQ, edgeQR, edgeMR, edgeRS, I, J, K, L
Net(a, CreateNet) → c, U, F_1, G_1, H_1, I_1, J_1, K_1, L_1, M_1, N_1, O_1, V, P_1, Q_1, R_1, S_1, T_1, U_1, V_1, W_1, Z_1, A_2, W, B_2, C_2, D_2, E_2, F_2, G_2, H_2, I_2, J_2, face1, Z, face3, face2, face4, face5, face6, face8, face7, face10, face11, face12, A_1, face9, edge1, edgeUV, edgeVW, edgeWZ, edge8, edge11, edge15, edge13, edge2, B_1, edge3, edge27, edge28, edge4, edge5, edge33, edge34, edge6, edge7, edge39, C_1, edge40, edge9, edge10, edge45, edge46, edge12, edge16, edge19, edge20, edge17, D_1, edge18, edge25, edge26, edge14, edge29, edge31, edge32, edge30, edge35, edge37, E_1, edge38, edge36, edge41, edge43, edge44, edge42, edge21, edge23, edge24, edge22