立方体交点演示

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2019-12-05 21:18

①本范例演示立方体各面、棱及顶点的交点关系与空间几何特性；②涉及核心概念包括立体几何、几何作图、中点计算、线段长度与斜率分析；③构造过程中运用了Intersect（交点）、Point（点）、Cube（立方体）、Segment（线段）、Net（展开图）、Midpoint（中点）等命令与对象；④适合高中立体几何教学与空间想象能力培养。

GeoGebra 命令及参数

Intersect(xAxis, zAxis) → B
Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
Cube(A, B, C) → a, D, faceCDHG, faceEFGH, edgeAD, edgeAB, edgeBC, edgeCD, edgeAE, edgeDH, edgeEH, edgeEF, E, edgeBF, edgeFG, edgeCG, edgeGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
Segment(G, C) → g
Segment(C, D) → h
Net(a, b) → c, J, S, T, U, V, W, faceJKLM, faceJMON, faceJKSR, faceKLUT, faceLMWV, K, faceNOPQ, edgeJM, edgeJK, edgeKL, edgeLM, edgeMO, edgeNO, edgeJN, edgeJR, edgeRS, L, edgeKS, edgeKT, edgeTU, edgeLU, edgeLV, edgeVW, edgeMW, edgeOP, edgePQ, edgeNQ, M, N, O, P, Q, R
Midpoint(g) → Z
Segment(F, Z) → m
Segment(Z, D) → n
Segment(T, D) → s
Segment(F, C) → f
Segment(C, D) → i
Segment(T, C) → j