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Subtraction of Directed Numbers

Subtraction of Directed Numbers
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2020-02-13 02:19
Coordinate Geometry
This example demonstrates how to perform subtraction of directed numbers using GeoGebra. The core math concepts involved include directed numbers, subtraction operations, and integers. Construction highlights include commands like Point, If, Sequence, Corner, and objects such as num0, A, B, dis, button1, n, text1. It is suitable for middle school mathematics teaching, helping students understand and master the subtraction of directed numbers.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B
  2. If(x(B) - x(A) > 0, "+", "") → sign2
  3. If(x(B) - x(A) < 0, "+", "") → sign3
  4. If(x(A) > 0, "+", "") → signa
  5. If(x(B) - x(A) > 0, "+", "") → signba
  6. If(x(B) > x(A), "+", "-") → op2
  7. If(x(B) > 0, "+", "") → signb
  8. Sequence(Vector[(((k + x(A) - 0.05) * dis), 0.3), (((k + x(A)) * dis), 0.1)], k, 1, Div[x(B) - x(A), dis]) → l2
  9. Sequence(Vector[(((x(A) - k + 0.05) * dis), 0.3), (((x(A) - k) * dis), 0.1)], k, 1, Div[x(A) - x(B), dis]) → l4
  10. Corner(1) → C
  11. If(num0 > 0, "+", "") → sign0
  12. If(num1 > 0, "+", "") → sign1
  13. Sequence(Semicircle[(((x(A) - k) * dis), 0.1), (((x(A) + 0.9 - k) * dis), 0.1)], k, 1, Div[x(A) - x(B), dis]) → l3
  14. Sequence(Semicircle[(((k - 0.9 + x(A)) * dis), 0.1), (((k + x(A)) * dis), 0.1)], k, 1, Div[x(B) - x(A), dis]) → l1

AI Drawing Prompt Reference

Draw a diagram showing the subtraction of directed numbers, with two points representing the minuend and subtrahend, vectors indicating the subtraction process, and semicircles connecting to show the positive or negative direction, suitable for middle school mathematics teaching, clearly demonstrating the geometric meaning of subtraction operations.
The prompt above was compiled from the original drawing commands and is for reference only.