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Ratios and Line Segments

Ratios and Line Segments
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2017-12-16 01:02
TrigonometryCoordinate GeometryGeometric Construction
This example demonstrates how to construct line segments and analyze their ratio relationships using GeoGebra. Key math concepts include segment length ratios, trigonometry (cosine), and analytical geometry relationships between points and lines. Construction highlights commands like Segment, Line, Intersect, Sequence, FractionText, and OrthogonalLine. Suitable for high school mathematics teaching, focusing on the application of ratios, line segments, and trigonometric functions in geometric problems.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(E, B) → g
  3. Segment(E, A) → h
  4. Line(C, h) → l
  5. Intersect(l, g) → E_1
  6. Segment(C, E_1) → m
  7. Segment(E_1, B) → n
  8. Segment(A, C) → p
  9. Segment(C, B) → q
  10. Sequence(((n / (a + b) * c), (n / (a + b) * d)), n, 0, a + b, 1) → L_1
  11. FractionText(C) → text9
  12. FractionText(B) → text10
  13. OrthogonalLine(C, h) → r
  14. Intersect(r, h) → D
  15. Segment(C, D) → s