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Locus Magic Q2

Locus Magic Q2
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2020-04-16 19:19
FunctionCoordinate GeometryLocus
This example demonstrates the locus of a quadratic equation. It involves key mathematical concepts such as quadratic equations and loci. Using GeoGebra commands like Point, Segment, Circle, Intersect, etc., the locus of a quadratic equation can be constructed. Suitable for high school math education and students learning about quadratic equation loci.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 6]) → B
  2. Segment(A, B) → line
  3. Circle(P, 3) → c
  4. Circle(A, 3) → d
  5. Circle(B, 3) → e
  6. OrthogonalLine(A, line) → f
  7. OrthogonalLine(B, line) → g
  8. Intersect(d, f, 2) → C
  9. Intersect(d, f, 1) → D
  10. Intersect(e, g, 1) → E
  11. Intersect(e, g, 2) → F
  12. Intersect(f, g) → G
  13. Segment(C, F) → h
  14. Segment(E, D) → i
  15. Semicircle(F, E) → k
  16. Semicircle(D, C) → p

AI Drawing Prompt Reference

Draw the locus of a quadratic equation. Start by drawing a circle with center A and radius 6 to get point B. Then, connect points A and B to form line line. Next, draw two circles with centers A and B and radius 3 to get circles c and d. Then, draw perpendicular lines to line line through points A and B to get lines f and g. After that, find intersection points C and D of circle d and line f, and points E and F of circle e and line g. Finally, find intersection point G of lines f and g, and draw segments CF, ED, and semicircles k and p with diameters EF and EC.
The prompt above was compiled from the original drawing commands and is for reference only.