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Drawing the Intersection of Two Planes

Drawing the Intersection of Two Planes
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2017-03-05 19:16
VectorSolid GeometryGeometric Construction
This example demonstrates how to draw the line of intersection between two planes in 3D space. Key math concepts include plane equations, vector cross product, and 3D geometry. Construction highlights the use of GeoGebra commands/objects like Point, Pyramid, Line, Intersect, Polygon, Plane, IntersectPath. Suitable for high school and above students learning about spatial relationships in solid geometry.

GeoGebra Commands & Parameters

  1. Point(yAxis) → B
  2. Point(zAxis) → A
  3. Pyramid(C, B, D, A) → a, faceABC, edgeCD, faceABD, faceBCD, faceACD, edgeAB, edgeBC, edgeAC, edgeAD, edgeBD
  4. Point(edgeCD) → K
  5. Point(edgeBD) → I
  6. Point(edgeAD) → J
  7. Line(J, I) → droiteIJ
  8. Line(C, B) → droiteBC
  9. Intersect(droiteIJ, droiteBC) → M
  10. Line(K, I) → droiteIK
  11. Line(D, B) → droiteBD
  12. Intersect(droiteIK, droiteBD) → N
  13. Line(N, M) → droiteMN
  14. Polygon(K, I, J) → poly1, j_1, k, i_1
  15. Plane(K, I, J) → planIJK
  16. Plane(B, D, C) → planBCD
  17. IntersectPath(planIJK, planBCD) → droiteIntersection