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Horizontal Hyperbola

Horizontal Hyperbola
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2019-01-31 03:46
FunctionCoordinate Geometry
This example demonstrates a horizontal hyperbola. It involves the basic properties and construction of hyperbolas. Using GeoGebra commands such as Intersect, Point, and Hyperbola, a series of points on the hyperbola can be constructed. Suitable for high school mathematics education, particularly in coordinate geometry and conic sections.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Point(xAxis) → C
  4. Point(xAxis) → D
  5. Hyperbola(B, C, D) → c
  6. Polygon(E, F, G, H) → q1, e, f, g, h
  7. Intersect(c, f, 1) → I
  8. Line(E, G) → i
  9. Line(F, H) → j
  10. Line(C, B) → k
  11. Segment(A, C) → l
  12. Segment(A, I) → m
  13. Point(e) → J
  14. Segment(J, A) → n
  15. Line(J, A) → p
  16. Intersect(p, g) → K

AI Drawing Prompt Reference

Draw a horizontal hyperbola by first taking four points B, C, and D on the x-axis and constructing the hyperbola c using these points. Then draw a rectangle q1, and mark the intersection point I of the hyperbola c and the rectangle q1. Draw lines i and j through the diagonal vertices E and F of the rectangle. Draw line k through points C and B. Then draw line segments l and m connecting point A to C and point A to I, respectively. Finally, draw line segments n and p through point J and A, and mark the intersection point K of line p and line g.
The prompt above was compiled from the original drawing commands and is for reference only.