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Farmer's Problem 1

Farmer's Problem 1
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2016-04-28 21:38
FunctionCoordinate GeometryGeometric Construction
This example demonstrates how a farmer can enclose the largest rectangular area using a given length of fence. Key mathematical concepts include area, perimeter, intersection, and quadratic functions. Using GeoGebra commands such as Segment, Point, Distance, and Polygon, the construction process is visually illustrated. Suitable for middle school and above students to learn geometry and function-related knowledge.

GeoGebra Commands & Parameters

  1. Segment(P, M) → a
  2. Point(a) → B
  3. Distance(A, B) → AC
  4. Polygon(A, D, C, B) → poly1, a_1, d, e, c
  5. Circle(F, semiperimeter - Distance[A, B]) → f
  6. OrthogonalLine(F, c) → b
  7. Intersect(f, b, 1) → G
  8. Line(E, F) → g
  9. Intersect(f, g, 2) → H
  10. CircleArc(F, H, G) → h
  11. Segment(E, F) → i
  12. Point(h) → I
  13. Segment(F, I) → j