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Subtraction of Directed Numbers - Elevator Model

Subtraction of Directed Numbers - Elevator Model
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2020-06-06 15:17
VectorCoordinate GeometryGeometric Construction
This example uses an elevator model to demonstrate the subtraction of directed numbers. Key mathematical concepts include directed numbers and subtraction. It utilizes commands such as Intersect, Point, CircleArc, Sequence, PathParameter, Corner, Polygon, Segment, Vector, Translate. Suitable for middle school and above students to learn directed number operations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → O
  2. Point(yAxis) → C
  3. Point(xAxis) → B
  4. CircleArc(O, B, C) → c
  5. Point(c) → A
  6. Sequence(Translate[O, Vector[(i * UnitVector[Vector[O, A]])]], i, -6, 7) → l1
  7. Sequence(Translate[O, Vector[((0.1 * i) * UnitVector[Vector[O, A]])]], i, -200, 200) → l3
  8. Point(l1) → P
  9. PathParameter(A) → t
  10. PathParameter(P) → a
  11. Corner(5) → Dimen
  12. Point(Ray[D + (0, 1), D + (0, 2)]) → F
  13. Polygon((x(Corner[2]), 0), (x(Corner[1]), 0), Corner[1], Corner[2]) → q1, g, h, i, j
  14. Sequence(Text[i, Translate[O, (-0.2, -0.7) + (t * (0.5, 0.6)) + If[i ≥ 0, (0.1, 0), (0, 0)] + (i * UnitVector[Vector[O, A]])]], i, -6, 7) → l2
  15. Segment((0, 8), (0, -6)) → f
  16. Vector(P + (1.5, 0), Q) → u
  17. Translate(P, u) → P'
  18. Polygon(T, U, U + (0, 1), T + (0, 1)) → q2, k, l, m, n
  19. Segment(Q - (0.25, 0), Q + (0.25, 0)) → p
  20. Segment(V - (0.25, 0), V + (0.25, 0)) → q
  21. Segment(V - (0.25, 0), P) → r
  22. Segment(Q - (0.25, 0), T) → s