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Proportional Segments Demo

Proportional Segments Demo
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2017-03-29 06:00
Coordinate GeometryInequalityGeometric Construction
This example demonstrates the division of line segments using ratio relationships. It involves core math concepts like ratios, inequalities, algebra, and conic sections. Constructed with GeoGebra commands such as Segment, DynamicCoordinates, Textfield, and Product, it's suitable for high school mathematics teaching to illustrate the theorem of proportional segments and its applications.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. DynamicCoordinates(O, x_1, y_1) → P_1
  3. DynamicCoordinates(O, x_2, y_2) → P_2
  4. Segment(P_1, P_2) → b
  5. DynamicCoordinates(O, x_3, y_3) → P_3
  6. Textfield(x_1) → inputBox1
  7. Textfield(x_2) → inputBox3
  8. Textfield(y_1) → inputBox2
  9. Textfield(y_2) → inputBox4
  10. Textfield(m) → inputBox5
  11. Textfield(n) → inputBox6
  12. Product({n, x_1}, 2) → nx_1
  13. Product({m, x_2}, 2) → mx_2
  14. Product({n, y_1}, 2) → ny_1
  15. Product({m, y_2}, 2) → my_2