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Quadratic & Linear Optimization Demo

Quadratic & Linear Optimization Demo
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2017-02-13 01:30
FunctionCoordinate GeometryOptimizationInequalityGeometric Construction
This example demonstrates the interaction between quadratic functions and linear programming through interactive graphics. ① Shows the intersection solution of quadratic function graphs with linear constraint regions; ② Involves core math concepts like quadratic functions, linear inequalities, optimal solutions, intersections; ③ Construction uses commands like Point, Vector, Textfield, Sequence; ④ Suitable for high school and above learners to understand function optimization and linear programming problems.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A_1
  2. Vector(A_1, B) → u
  3. Textfield(f) → inputBox1
  4. Sequence(Vector[(0, k), (2, f(k))], k, -3, 3) → ExpMD
  5. Sequence((2, f(k)), k, -3, 3) → ExpTargPts
  6. Sequence((0, k), k, -3, 3) → SourcePtsMD
  7. Sequence((k, f(k)), k, -3, 3) → ExpGraphpts
  8. Vector(A_1, B_2) → v
  9. Sequence(Vector[(0, f(k)), (2, g(f(k)))], k, -3, 3) → logMD
  10. Sequence((f(k), k), k, -3, 3) → logGraphpts
  11. Sequence(Vector[(2, k), (4, f(k))], k, -3, 3) → InvLogMD
  12. Vector(B_2, A_2) → w