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Energy Diagram 1a

Energy Diagram 1a
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2018-11-18 02:52
FunctionGeometric ConstructionGraphing
This example demonstrates how energy diagrams are used in physics or chemistry, involving core math concepts like quadratic functions, continuity, and plane figure transformations. It constructs the diagram using commands such as Intersect, Point, Line, Segment, and If. Suitable for high school physics or mathematics education to understand energy changes and function graphs.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(Circle[A, 1]) → B
  3. Line(D, E) → g
  4. Point(yAxis) → C
  5. Line(C, yAxis) → f
  6. Line(F, f) → h
  7. Line(G, f) → i
  8. Line(H, f) → j
  9. Intersect(f, xAxis) → I
  10. Intersect(h, xAxis) → J
  11. Intersect(i, xAxis) → K
  12. Intersect(j, xAxis) → L
  13. Point(f) → Ki
  14. Point(h) → Ugi
  15. Point(i) → Kf
  16. Point(j) → Ugf
  17. Segment(Ki, I) → k
  18. Segment(Ugi, J) → l
  19. Segment(Kf, K) → Kf_1
  20. Segment(Ugf, L) → Ugf_1
  21. If(-0.1 < y(Kf) < 0.1, true, false) → KfCheck
  22. If(y(Ki) > 0, true, false) → KiCheck
  23. If(-0.1 < deltaE < 0.1, true, false) → deltaECheck
  24. If(KfCheck ∧ KiCheck ∧ deltaECheck, 1, 0) → grade

AI Drawing Prompt Reference

Draw an energy diagram with a parabola opening upwards and intersecting the x-axis at points I and L, and the y-axis at point B. Draw a horizontal line f through point B, intersecting the parabola at points I and K. Then draw two parallel lines h and i through points J and K, L respectively, intersecting the parabola. Connect points I, J, K, and L to form the energy change diagram.
The prompt above was compiled from the original drawing commands and is for reference only.