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Carport Problem

Carport Problem
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2019-03-21 02:36
TriangleVectorCoordinate GeometryGeometric Construction
This example demonstrates the geometric analysis of a carport structure by constructing triangles, their orthocenters, vectors, and other elements. It involves core mathematical concepts such as planes, orthocenters, quadratic equations, binomial distribution, power functions, and exponential functions. The construction uses GeoGebra commands like Point, Segment, Intersect, Line, Plane, Vector, OrthogonalLine, Translate, and Angle. It is suitable for high school and above students to explore geometric constructions and function applications in a practical context.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B'
  2. Point({8, 0, 4}) → B
  3. Segment(B, B') → b
  4. Point({0, 0, 5}) → A
  5. Intersect(yAxis, xAxis) → A'
  6. Segment(A, A') → a
  7. Point({0, 6, 4}) → C
  8. Point(yAxis) → C'
  9. Segment(C, C') → c
  10. Point({8, 6, 1}) → D_?
  11. Line(D', D_?) → h
  12. Plane(B, A, C) → e
  13. Intersect(h, e) → D
  14. Vector(A, C) → u
  15. Vector(A, B) → v
  16. OrthogonalLine(A, e) → g
  17. Translate(Vector[((-Direction[g])) / 24], A) → n
  18. Angle(n, u) → α
  19. Angle(n, v) → β
  20. Segment(D, D') → d