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Interactive Demo of Complex Numbers and Equations

Interactive Demo of Complex Numbers and Equations
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2017-02-16 00:09
Solid GeometryComplex Number
This example demonstrates the integration of complex numbers, equations, and set theory through interactive graphics, showcasing the geometric relationship between a cube and a parabola. It involves core math concepts like complex number operations, equation solving, set representation, and the geometric properties of cubes and parabolas. The construction utilizes GeoGebra commands/objects such as points, vectors, textfields, sequences, intersections, and segments. Suitable for high school and above, it helps learners understand the combined application of complex numbers and geometry, along with dynamic changes.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A_1
  2. Vector(A_1, B) → u
  3. Textfield(f) → inputBox1
  4. Vector(A_1, B_2) → v
  5. Sequence((f(k), k), k, -3, 3) → logGraphpts
  6. Vector(B_2, A_2) → w
  7. Intersect(f, b, (15.999999999999995, 19.999999999999996)) → D
  8. Vector(x_*, C_1) → z
  9. Segment(D, X) → j
  10. Sequence((k, f(k)), k, 2, 20, 2) → ExpGraphpts
  11. Sequence(Vector[(0, k), (2, f(k))], k, 2, 20, 2) → ExpMD
  12. Sequence((2, f(k)), k, 2, 20, 2) → ExpTargPts_1
  13. Sequence(Vector[(2, k), (4, f(k))], k, 2, 20, 2) → InvLogMD_1
  14. Sequence((0, k), k, 2, 20, 2) → SourcePtsMD_1
  15. Sequence(Vector[(0, f(k)), (2, g(f(k)))], k, 2, 20, 2) → logMD