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Intersecting Planes by jimfay55

Intersecting Planes by jimfay55
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2016-05-18 01:48
VectorSolid GeometryGeometric Construction
This example demonstrates the intersection of three spatial planes, visually showing their lines of intersection and spatial relationships. Core mathematical concepts include spatial geometry, plane equations, vector products, and line intersection solutions. GeoGebra commands and objects used in construction include Polygon, Intersect, Segment, Line, and objects like X_r, Y_r, Z_r, A_1, d, B, etc. It is suitable for high school solid geometry teaching and learning, helping to understand the composition and properties of complex spatial figures.

GeoGebra Commands & Parameters

  1. Polygon(D, B, C_, A_1) → poly1, d_1, b, c, a
  2. Polygon(E, F, H, G) → poly2, e, f, h, g
  3. Intersect(e, poly1) → I
  4. Intersect(d_1, poly2) → J
  5. Intersect(g, poly1) → K
  6. Segment(J, K) → i
  7. Intersect(f, poly1) → L
  8. Segment(L, K) → j
  9. Intersect(c, poly2) → M
  10. Segment(L, M) → k
  11. Intersect(k, f) → N
  12. Intersect(k, c) → O
  13. Line(O, N) → l