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How Long Does the Construction Take?

How Long Does the Construction Take?
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2023-10-18 22:13
Geometric Construction
In collections Indirekte Proportionalität
This is a multiple-choice question that requires students to fill in the correct relationship between two quantities in a given situation. Specifically, the question is about direct and indirect proportionality. Students need to choose the correct answer based on the given information. This question is suitable for middle school students, particularly those learning about ratios and proportionality. The GeoGebra construction summary shows the use of SelectedIndex, Midpoint, Sequence, Textfield, CircleArc commands and objects, including DropDown, Index, OpZeichen, input, etc. This example can help students understand the concepts of direct and indirect proportionality and practice applying these concepts to solve real-world problems.

GeoGebra Commands & Parameters

  1. SelectedIndex(DropDown4) → Index4
  2. SelectedIndex(DropDown3) → Index3
  3. SelectedIndex(DropDown2) → Index2
  4. SelectedIndex(OpZeichen1) → IndexOp1
  5. SelectedIndex(OpZeichen2) → IndexOp2
  6. SelectedIndex(OpZeichen3) → IndexOp3
  7. SelectedIndex(DropDown1) → Index1
  8. Midpoint(TableE1, TableE4) → L
  9. Midpoint(TableE2, TableE3) → M
  10. Sequence(TableE1 + (Vector[TableE1, TableE2] * i / 6), i, 0, 6) → TablePointsL
  11. Sequence(TableE4 + (Vector[TableE1, TableE2] * i / 6), i, 0, 6) → TablePointsR
  12. Textfield(input1) → InputBox1
  13. Midpoint(TablePointsL(2), TablePointsL(3)) → TL1
  14. Textfield(input2) → InputBox2
  15. Textfield(input3) → InputBox3
  16. Textfield(input4) → InputBox4
  17. Textfield(input5) → InputBox5
  18. Textfield(input6) → InputBox6
  19. Midpoint(TablePointsR(2), TablePointsR(3)) → TR1
  20. Midpoint(TablePointsL(4), TablePointsL(5)) → TL3
  21. Midpoint(TablePointsR(4), TablePointsR(5)) → TR3
  22. Midpoint(TablePointsL(5), TablePointsL(6)) → TL4
  23. Midpoint(TablePointsL(6), TablePointsL(7)) → TL5
  24. Midpoint(TablePointsR(5), TablePointsR(6)) → TR4
  25. Midpoint(TablePointsR(6), TablePointsR(7)) → TR5
  26. CircleArc(C, E, F) → c
  27. CircleArc(I, J, K) → d

AI Drawing Prompt Reference

Draw a construction-based diagram using selectable parameters: take a base line with two reference points, build a direction from their vector, then generate two point sequences of seven points by stepping along that direction in six equal intervals—one sequence from the left start and one from the right start. Compute midpoints of specific consecutive points on the left sequence and midpoints on corresponding consecutive points on the right sequence to form key labeled positions. Using the determined circle centers and endpoint points, draw two circular arcs. Add text input-style labels near the key constructed points so the diagram supports a multiple-choice reasoning task.
The prompt above was compiled from the original drawing commands and is for reference only.