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Lines in Multiple Planes

Lines in Multiple Planes
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2019-03-05 23:44
VectorSolid GeometryGeometric Construction
This example demonstrates how to draw and interact with lines in multiple planes, focusing on solid geometry concepts. Key math concepts include the relationship between lines and planes, intersection calculations, and spatial geometry. Construction highlights the use of commands like Intersect, Point, Cube, PointIn, Segment, Line, and OrthogonalLine. Suitable for high school and above students learning spatial geometry.

GeoGebra Commands & Parameters

  1. Intersect(zAxis, yAxis) → A
  2. Point(zAxis) → 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, edgeEH, edgeEF, E, edgeBF, edgeFG, edgeCG, edgeGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
  5. Point(edgeCG) → I
  6. PointIn(faceEFGH) → J
  7. PointIn(faceCDHG) → K
  8. PointIn(faceCDHG) → L
  9. Segment(B, H) → f
  10. Line(K, J) → g
  11. PointIn(faceCDHG) → M
  12. OrthogonalLine(M, g, space) → h
  13. PointIn(faceBCGF) → N
  14. PointIn(faceBCGF) → O
  15. Line(N, O) → i
  16. Line(O, i) → j
  17. Line(N, j) → k
  18. Line(I, k) → l
  19. Segment(L, E) → m
  20. Intersect(l, edgeBC) → P