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Measuring Length with a Centimeter Ruler

Measuring Length with a Centimeter Ruler
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2022-10-10 04:20
VectorCoordinate GeometryGeometric Construction
This example demonstrates how to measure the length of a line segment using a centimeter ruler. It involves core mathematical concepts such as line segments, unit orthogonal vectors, vector rotation, polygon construction, random number generation, and more. The construction utilizes GeoGebra commands like Point, UnitOrthogonalVector, UnitVector, Polygon, Random, Sequence, RandomElement, Rotate, Segment, and Textfield. It is suitable for middle school students and above learning geometry and vector mathematics.

GeoGebra Commands & Parameters

  1. Point(Circle[A_1, ruler]) → A_6
  2. UnitOrthogonalVector(Segment[A_1, A_6]) → v
  3. UnitVector(Segment[A_1, A_6]) → u
  4. Polygon(A_1, A_2, A_3, A_4, A_5, A_6) → poly1, a_3, a_4, a_5, a_6, a_7, a_8
  5. Random(-2, 2) → a
  6. Random(-2, 2) → b
  7. Sequence(i, i, 1, 10, 0.1) → l1
  8. RandomElement(l1) → c
  9. Random(0, 360) → e
  10. Rotate(B, (e * pi / 180), A) → B'
  11. Segment(A, B') → f
  12. Textfield(d) → InputBox1

AI Drawing Prompt Reference

Draw a figure with a line segment AB, measure its length with a ruler, and construct a unit vector u with the same direction as AB and the same length as AB. Then, construct a unit vector v perpendicular to AB. Next, draw a hexagon connecting points A, A_2, A_3, A_4, A_5, and A_6. Generate two random numbers a and b, construct a line segment of random length c, rotate it to get B', and connect A and B'. Finally, display the length of line segment AB in the input box.
The prompt above was compiled from the original drawing commands and is for reference only.