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斜棱锥构造演示

斜棱锥构造演示
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2016-12-08 14:58
多边形解析几何立体几何几何作图
①本范例演示斜棱锥的几何构造与可视化；②涉及核心数学概念包括立体几何、多边形、向量与坐标几何；③构造要点：使用Point, Cube, Intersect, Pyramid, Circle, Polygon等GeoGebra命令创建棱锥、多边形与圆；④适合高中立体几何教学与几何作图练习。

GeoGebra 命令及参数

  1. Point(yAxis) → A
  2. Point(xAxis) → B
  3. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  4. Cube(A, B, C) → a, D, faceCDHG, faceEFGH, edgeAD, edgeAB, edgeBC, edgeCD, edgeAE, edgeDH_1, edgeEH, edgeEF, E, edgeBF, edgeFG, edgeCG, edgeGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
  5. Intersect(edgeEH, edgeDH_1) → I
  6. Pyramid(faceABCD, H) → b, faceADH, faceABH, faceBCH, faceCDH, edgeDH, edgeAH, edgeBH, edgeCH
  7. Circle(edgeBC, H) → c
  8. Point(c) → J
  9. Polygon(J, C, B) → poly1, b_1, j, c_1