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Tangent Plane to Sphere

Tangent Plane to Sphere
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2017-04-18 00:10
VectorCoordinate GeometrySolid Geometry
This example demonstrates the tangent plane to a sphere. Key mathematical concepts include spheres, vectors, and coordinate geometry. Using GeoGebra commands such as Random, Segment, Sphere, and Vector, the formation of the tangent plane can be dynamically shown. Suitable for high school mathematics education, particularly in solid geometry and coordinate geometry.

GeoGebra Commands & Parameters

  1. Random(-5, 5) → xc
  2. Random(-5, 5) → yc
  3. Random(-5, 5) → zc
  4. Random(-5, 5) → xp
  5. Random(-5, 5) → yp
  6. Random(-5, 5) → zp
  7. Segment(C, P) → r
  8. Sphere(C, r) → s
  9. Vector(C, P) → u

AI Drawing Prompt Reference

Draw a sphere with its center randomly located within the (-5, 5) range and its radius equal to the distance from the center to a random point P. Then draw the tangent plane to the sphere that passes through point P and is perpendicular to the vector from the center to point P.
The prompt above was compiled from the original drawing commands and is for reference only.