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Prism and Right Triangle Integration Demo

Prism and Right Triangle Integration Demo
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2017-02-15 00:27
VectorSolid GeometryCalculusIntegralGeometric Construction
In collections Mapping Diagrams: From AB to C&DE, Resource
This example demonstrates prism volume calculation and definite integral of right triangles; core math concepts include solid geometry, calculus, and indefinite integral; construction highlights use of Point, Textfield, Vector commands to create objects like A, base, f, a, A_1, inputBox1, x_0, and numerous helper elements A2-A8, B2-B8, C1-C8, D1-D8; suitable for high school and above students to understand integral applications in geometric volume calculations.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A_1
  2. Textfield(f) → inputBox1
  3. Vector(A_1, B_2) → v
  4. Vector(B_2, A_2) → w
  5. Point(yAxis) → B
  6. Vector(B, C) → u
  7. Vector(C, D) → z
  8. Vector(E, F) → e
  9. Vector(A_2, E) → i
  10. Vector(D, E) → j
  11. Vector(B_2, F) → k
  12. Vector(C, F) → l
  13. Vector(B_2, A_1) → m
  14. Vector(C, B) → n
  15. Vector(F, E) → p
  16. Vector(A_2, B_2) → q
  17. Vector(D, C) → s