MathPlotAI Logo MathPlotAI

Rectangular Hyperbola as Locus Demonstration

Rectangular Hyperbola as Locus Demonstration
Loading the math board and drawing, please wait…
2020-08-26 23:10
FunctionCoordinate GeometryGeometric ConstructionLocus
① This example shows how a rectangular hyperbola arises as the locus of a moving point; ② It covers core concepts such as the analytic definition of a hyperbola, focus properties, and constant distance ratios; ③ Construction highlights: Point creates the moving point, Segment joins foci to the point, Distance measures the required distances, and objects c, a, B, A, f, C, g, h, b, c_1, d, text1‑text3, e build the geometric relationships; ④ Suitable for high‑school elective math, university geometry courses, and advanced GeoGebra construction practice.

GeoGebra Commands & Parameters

  1. Point(f) → C
  2. Segment(C, A) → g
  3. Segment(C, B) → h
  4. Distance(A, C) → b
  5. Distance(B, C) → c_1

AI Drawing Prompt Reference

Draw a rectangular hyperbola as the locus of a moving point, showing two foci and segments connecting them to the point. Measure and display the distances from the foci to the point, used to build geometric relationships like constant ratios and core hyperbola concepts.
The prompt above was compiled from the original drawing commands and is for reference only.