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Irrational Number sqrt(10) GeoGebra Demo

Irrational Number sqrt(10) GeoGebra Demo
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2019-02-15 13:08
VectorTrigonometryCoordinate GeometryGeometric Construction
This example dynamically demonstrates the geometric representation of the irrational number sqrt(10) and related shapes using GeoGebra. It involves core math concepts like irrational numbers, line segments, angles, 2D vectors, rotation, and circular arcs. Construction highlights include GeoGebra commands: Segment, Point, Intersect, Rotate, CircleArc. Suitable for high school mathematics teaching to understand the geometric meaning of irrational numbers and 2D vector operations.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Point(xAxis) → E
  4. Intersect(f, g) → F
  5. Point(xAxis) → H
  6. Point(xAxis) → I
  7. Point(xAxis) → J
  8. Segment(A, E) → i
  9. Segment(A, D) → h
  10. Rotate(A, d) → A'
  11. Rotate(D, d) → D'
  12. Segment(A', D') → h'
  13. CircleArc(A, D', D) → e