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Intersection of Line a+b

Intersection of Line a+b
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2015-06-23 08:40
Coordinate Geometry
In collections Constructions for Problem Set 2
This example demonstrates how to construct the intersection of the line a+b to understand the geometric meaning of linear equations. Key mathematical concepts include linear equations and intersection points. GeoGebra commands used include Intersect, Point, Segment, Rotate, and Angle. Suitable for middle school and above students to learn linear equations and geometric construction.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(Circle[A, 1]) → B
  3. Segment(A, B) → c
  4. Point(Circle[B, 1.7320508075688772]) → C
  5. Segment(B, C) → d
  6. Rotate(B, 90*°, B) → B'
  7. Rotate(C, 90*°, B) → C'
  8. Segment(B', C') → d'
  9. Point(Circle[a, 3.4641016151377544]) → D
  10. Segment(a, D) → e
  11. Point(Circle[D, 2]) → E
  12. Segment(D, E) → f
  13. Rotate(D, 90*°, D) → D'
  14. Rotate(E, 90*°, D) → E'
  15. Segment(D', E') → f'
  16. Angle(C, B, a) → α
  17. Angle(E, D, E') → β