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Finding the Maximum Possibility

Finding the Maximum Possibility
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2021-12-14 02:10
FunctionTrigonometryOptimization
In collections Open Middle: Distance in the Coordinate Plane (3)
This example demonstrates how to find the maximum possible value under given conditions by adjusting parameters. Key mathematical concepts include natural numbers, prisms, and cosine functions. Using GeoGebra commands such as PointIn, Segment, and SurdText, a dynamic geometric model is constructed. Suitable for high school mathematics education and learning, especially for understanding optimization problems and function graphs.

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. If(m < i, "Too short!", m > i, "Too long!", "This value is correct!") → text7
  10. Mode(l1) → l2
  11. Intersect(eq1, p) → D
  12. Polygon(A, D, B) → t1, b_1, a_1, d_1
  13. Segment(A, D) → q
  14. Segment(D, B) → r
  15. Angle(B, D, A) → α
  16. Textfield(o) → InputBox3
  17. If(Length[l2] ≟ 0, "AV's of all digits are different.", "AV's of some digits repeat.") → text8

AI Drawing Prompt Reference

Create a dynamic geometric model to demonstrate how to find the maximum possible value under given conditions by adjusting parameters. Include natural numbers, prisms, and cosine functions, with points, segments, and text to display key information, suitable for high school mathematics education, especially for understanding optimization problems and function graphs.
The prompt above was compiled from the original drawing commands and is for reference only.