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Percentage Problem

Percentage Problem
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2014-12-07 11:30
SequenceTransformationGeometric Construction
This example demonstrates percentage problems through dynamic geometry, involving ratios and geometric transformations. Users can adjust parameters via input boxes to observe changes in the figure. It uses GeoGebra commands like TextField, Polygon, and Sequence. Suitable for middle school and above students to learn about ratios and geometric transformations.

GeoGebra Commands & Parameters

  1. Textfield(b) → inputBox1
  2. Textfield(a) → inputBox2
  3. Polygon((0, 0), (l_a, 0), (l_a, 1), (0, 1)) → poly1, c, d, e, f
  4. Polygon(A, A + (l_b, 0), A + (l_b, 1), A + (0, 1)) → poly2, a_1, g, h, i
  5. Sequence(Segment[((i * l_a / 100), 0), ((i * l_a / 100), 1)], i, 1, 99) → list1
  6. Sequence(Segment[((i * l_a / 10), 0), ((i * l_a / 10), 1)], i, 1, 9) → list2

AI Drawing Prompt Reference

Draw a figure consisting of two rectangles, where the width of the first rectangle can be adjusted via an input box and its length is fixed at 1. The width of the second rectangle can also be adjusted via an input box and its length is fixed at 1. The first rectangle is divided into 100 equal vertical segments, and the second rectangle is divided into 10 equal vertical segments.
The prompt above was compiled from the original drawing commands and is for reference only.