二十面体探索模板

二十面体探索模板
几何画板及绘图内容加载中,请稍等……
2019-01-02 05:50
该范例演示了二十面体的几何构造。涉及的核心数学概念包括立体几何和几何作图。通过使用GeoGebra命令如Intersect、Point、Icosahedron等,可以构建二十面体的面和边。适合高中及以上学生或教师用于教学和学习立体几何。

GeoGebra 命令及参数

  1. Intersect(yAxis, xAxis) → A
  2. Point(xAxis) → B
  3. Point(Circle[Midpoint[A, B], (Distance[A, B] * sqrt(3) / 2), Segment[A, B]]) → C
  4. Icosahedron(A, B, C) → a, D, faceABC, faceACF, faceAFG, faceADG, faceABD, faceBDH, faceBEH, faceBCE, faceCEI, faceCFI, E, faceEHK, faceEIK, faceIKL, faceFIL, faceHJK, faceJKL, faceGJL, faceFGL, faceDHJ, faceDGJ, F, edgeAC, edgeAB, edgeBC, edgeAF, edgeCF, edgeAG, edgeFG, edgeAD, edgeDG, edgeBD, G, edgeBH, edgeDH, edgeBE, edgeEH, edgeCE, edgeCI, edgeEI, edgeFI, edgeEK, edgeHK, H, edgeIK, edgeIL, edgeKL, edgeFL, edgeJK, edgeHJ, edgeJL, edgeGL, edgeGJ, edgeDJ, I, J, K, L
  5. Net(a, CreateNet) → c, M, V, W, Z, A_1, B_1, C_1, D_1, E_1, F_1, G_1, N, H_1, I_1, J_1, faceMNO, faceMOP, faceMPQ, faceMVW, faceMNV, face2, face3, O, face1, face4, faceOPT, face6, face7, face9, facePTU, face8, face10, faceQRS, P, facePQR, face5, faceVWZ, edgeMO, edgeMN, edgeNO, edgeOP, edgeMP, edgePQ, edgeMQ, Q, edgeMV, edgeMW, edgeVW, edgeNV, edge6, edge1, edge2, edge3, edge9, edge4, R, edge11, edge5, edgeOT, edgePT, edge13, edge10, edge12, edge16, edge18, edge17, S, edgeTU, edgePU, edge14, edge15, edge19, edge20, edgeQR, edgeRS, edgeQS, edgePR, T, edge7, edge8, edgeWZ, edgeVZ, U

AI 绘图提示语参考

绘制一个二十面体,包含20个等边三角形的面和30条边。首先确定两条坐标轴的交点A,然后在x轴上取点B,接着构造一个以A和B为底边的等边三角形的顶点C,最后使用A、B、C作为起点,通过Icosahedron命令构建整个二十面体,包括所有面和边。
以上提示语为根据原始绘图命令整理而来,仅供参考。