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Cylinder and Differential Calculus Interactive Demo

Cylinder and Differential Calculus Interactive Demo
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2019-02-14 02:46
FunctionCoordinate GeometrySolid GeometryCalculusDerivative
This example demonstrates the geometric construction of a cylinder and its interaction with differential calculus elements interactively. It involves core mathematical concepts such as cylinder construction, linear equations, distance calculations, integrals, and limits in differential geometry. Key GeoGebra commands and objects used include Intersect, Circle, Cylinder, Segment, Line, and Distance. Suitable for high school and above students to understand the integration of spatial geometry and calculus.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, r) → c
  3. Cylinder(c, H_1) → e, f, g
  4. Intersect(c, xAxis, 2) → B
  5. Segment(A, B) → h
  6. Line(B, zAxis) → i
  7. Intersect(i, f) → C,
  8. Line(C, xAxis) → j
  9. Segment(A, B) → k
  10. Segment(B, C) → l
  11. Line(A, i) → m
  12. Intersect(m, j) → D
  13. Segment(D, A) → n
  14. Segment(D, C) → Radius
  15. Segment(C, B) → H
  16. Distance(D, H) → distanceDH