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Tangent Line of Triangle and Circle

Tangent Line of Triangle and Circle
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2017-02-11 01:31
TriangleCircle
This example demonstrates the relationship between a triangle and a circle, specifically focusing on the tangent lines. Key mathematical concepts include triangles, circles, and tangents. Using GeoGebra commands such as Point, Vector, and Segment, the construction of a triangle and a circle, and the observation of their tangent lines, is illustrated. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A_1
  2. Vector(A_1, B) → u
  3. Segment((0, -5), (0, a_1)) → c
  4. Segment((0, a_1), (0, a_2)) → d
  5. Segment((0, a_2), (0, 5)) → e
  6. Textfield(f_1) → inputBox1
  7. Textfield(f_2) → inputBox2
  8. Textfield(f_3) → inputBox3
  9. Textfield(f_1) → inputBox4
  10. Textfield(f_2) → inputBox5
  11. Sequence(Vector[(0, k), (2, f(k))], k, -3, 3, 0.5) → list1
  12. Sequence((k, f(k)), k, -3, 3, 0.5) → list2
  13. Textfield(f_3) → inputBox6

AI Drawing Prompt Reference

Draw a figure showing the relationship between a triangle and a circle, focusing on tangent lines. Start by plotting three points to form a triangle, then draw the triangle. Next, draw a circle near the triangle. From one vertex of the triangle, draw a tangent line that touches the circle and mark the point of tangency. Finally, plot a function's graph in the coordinate system and represent the direction of the tangent line with a vector.
The prompt above was compiled from the original drawing commands and is for reference only.