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Linearity 3 Demo

Linearity 3 Demo
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2022-09-13 00:44
FunctionCoordinate GeometryProbability & Statistics
In collections Exploring Linearity
This example demonstrates the graphical representation of linear relationships and the application of conditional probability. It involves core mathematical concepts such as equations, conditional probability, piecewise functions, parabolas, and normal distributions. The construction utilizes GeoGebra commands like Vector, Textfield, Polygon, Sequence, Union, and If. It is suitable for high school and above students learning about linear functions, probability statistics, and complex function graphing.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Vector(A, C) → v
  3. Textfield(M) → InputBox1
  4. Polygon(A, B, B + C, C) → q1, f, g, h, i
  5. Polygon((M * A), (M * B), (M * (B + C)), (M * C)) → q2, j, k, l, m
  6. Sequence(Line[(M * ((-c), t)), (M * (c, t))], t, (-c), c) → Mlist1
  7. Sequence(Line[((-c), t), (c, t)], t, (-c), c) → list1
  8. Sequence(Line[(M * (t, (-c))), (M * (t, c))], t, (-c), c) → Mlist2
  9. Sequence(Line[(t, (-c)), (t, c)], t, (-c), c) → list2
  10. Union(Mlist1, Mlist2) → lattice
  11. If(Determinant[M] ≠ 0, lattice) → showLattice

AI Drawing Prompt Reference

Draw a graph with linear relationships, conditional probability, and piecewise functions. Start by drawing vectors u and v, then create a text input box. Draw a quadrilateral including a piecewise function and a parabola. Apply scaling transformation to create another quadrilateral and piecewise function. Draw a series of parallel lines to form a grid, and finally display the grid based on the determinant value.
The prompt above was compiled from the original drawing commands and is for reference only.