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Quiz on Circle Equation

Quiz on Circle Equation
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2018-10-25 23:27
CircleCoordinate GeometryGeometric Construction
This quiz demonstrates the equation of a circle, involving basic concepts and equation forms of circles. Using GeoGebra commands such as Circle, Sort, KeepIf, etc., students can learn how to construct circles based on given conditions. Suitable for middle school and above students for geometric construction and equation understanding practice.

GeoGebra Commands & Parameters

  1. Circle(O, R) → i
  2. SelectedIndex(listLevel) → level
  3. Sort(Flatten[Sequence[Sequence[i^(2) + j^(2), i, j, 6], j, 1, 6]]) → list1
  4. KeepIf(x ≠ 25 ∧ x < 49, list1) → listRsquare
  5. RandomElement(listRsquare) → rSqaure
  6. RightSide(q2) → a
  7. Random(1, 2) → level3
  8. If(level ≟ 1 ∨ level ≟ 3 ∧ level3 ≟ 1, textR1, textR2) → textR

AI Drawing Prompt Reference

Draw a circle with center at the origin and radius 5. Generate a 6x6 matrix of integers, where each element is the sum of squares of integers from 1 to 6. Filter out numbers less than 49 and not equal to 25, then randomly select one as the radius for the circle. Generate the equation of the circle based on the selected radius and display the corresponding hint based on the difficulty level.
The prompt above was compiled from the original drawing commands and is for reference only.