立方体的几何作图
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该范例演示了立方体的几何作图。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Point, Cube, Rotate, Line等,可以构造出立方体的各个面和边。适合初中及以上学生学习立体几何。
GeoGebra 命令及参数
Point(Circle[C, Distance[A, C], Segment[A, C]]) → ECube(A, C, E) → a, F, faceEFJI, faceGHIJ, edgeAF, edgeAC, edgeCE, edgeEF, edgeAG, edgeFJ, edgeGJ, edgeGH, G, edgeCH, edgeHI, edgeEI, edgeIJ, H, I, J, faceACEF, faceAFJG, faceACHG, faceCEIHRotate(faceAFJG, α, xAxis) → faceAFJG'Line(B, yAxis) → bLine(C, xAxis) → cLine(E, c) → dRotate(faceCEIH, (-α), c) → faceCEIH'Rotate(faceEFJI, (-α), d) → faceEFJI'Rotate(faceGHIJ, α, b) → faceGHIJ'Rotate(faceACEF, (-α), yAxis) → faceACEF'