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Q2 Math Example

Q2 Math Example
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2021-12-15 03:58
PolygonFunctionCoordinate GeometryGeometric Construction
In collections Open Middle: Distance and Midpoint Exercise
This example demonstrates geometric constructions and calculations based on points, lines, and polygons. It involves core math concepts like arithmetic, area, Pythagorean theorem, functions, and quadrilaterals. GeoGebra commands and objects used include PointIn, Segment, SurdText, Textfield, Point, Mode, Intersect, Polygon, Midpoint, If, etc. Suitable for middle school and above mathematics teaching and geometric construction learning.

GeoGebra Commands & Parameters

  1. PointIn(e) → A
  2. PointIn(e) → B
  3. Segment(A, B) → f
  4. SurdText(f) → text1
  5. Textfield(j) → InputBox1
  6. Textfield(k) → InputBox2
  7. Point(Circle[A, sqrt((100 * j) + (10 * k) + o)]) → C
  8. Segment(A, C) → l
  9. Mode(l1) → l2
  10. Intersect(eq1, p) → D
  11. Polygon(A, D, M) → t1, f_1, g_1, h_1
  12. Segment(A, D) → q
  13. Segment(D, B) → r
  14. Textfield(o) → InputBox3
  15. Midpoint(Segment[A, B]) → E
  16. If(mcorrect, "√", "x") → text9
  17. Segment(A, M) → i_1
  18. Segment(D, M) → j_1
  19. Angle(M, D, A) → α
  20. Segment(A, D) → k_1
  21. Segment(A, M) → l_1
  22. Segment(M, B) → m_1
  23. If(Distance[A, C] < Distance[A, M], "Too short!", Distance[A, C] > Distance[A, M], "Too long!", "This value is correct!") → text7
  24. If(Length[l2] ≟ 0, "All digits are different.", "Some digits repeat.") → text8

AI Drawing Prompt Reference

Draw a quadrilateral ABCD, where A and B are points on a circle, and C is a point calculated from input boxes j and k. Connect A and C to get line segment l. Draw a circle through A and C to get point D. Connect A and D to get line segment q, and connect D and B to get line segment r. Find the midpoint E of line segment AD and check if the length of AD equals the length of AC, then display 'Correct length' if they are equal, or 'Incorrect length' if they are not.
The prompt above was compiled from the original drawing commands and is for reference only.