Log-Log Point Coordinates Construction

Log-Log Point Coordinates Construction
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2018-11-14 18:00
This example demonstrates the process of generating points and constructing geometric figures in a log-log coordinate system. Key math concepts include log coordinates, polygon construction, sequence generation, and inequality representation. The construction utilizes GeoGebra commands like Sequence and Point, along with objects such as L_1 to L_8, A, and text1. Suitable for high school and above students to understand the properties of log-log coordinates and geometric construction techniques.

GeoGebra Commands & Parameters

  1. Sequence(w, w, 1, 10) → L_1
  2. Sequence(Segment[(0, L_2(w)), (6, L_2(w))], w, 1, 10) → L_6
  3. Sequence(Segment[(L_2(w), 0), (L_2(w), 6)], w, 1, 10) → L_4
  4. Sequence(Translate[L_6, (0, w)], w, 0, 5) → L_3
  5. Sequence(Translate[L_4, (w, 0)], w, 0, 5) → L_5
  6. Sequence(Sequence[(lg(m), lg(n)), m, 1, 10], n, 1, 10) → L_7
  7. Sequence(Sequence[Translate[L_7, (m, n)], m, 0, 5], n, 0, 5) → L_8
  8. Point(L_8) → A