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Rectangular Coordinates Example

Rectangular Coordinates Example
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2016-10-19 03:23
VectorTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates geometric relationships and operations involving points, lines, angles, and vectors in rectangular coordinates. Core math concepts include coordinate geometry, vectors, trigonometry, and geometric constructions. It uses GeoGebra commands like OrthogonalLine, Intersect, Segment, Point, and Angle, along with objects A, a, B, b, C, c, d, D, α, r, e, xa, ya. Suitable for high school students and educators for teaching and exploration.

GeoGebra Commands & Parameters

  1. OrthogonalLine(A, xAxis) → a
  2. Intersect(a, xAxis) → B
  3. Segment(A, B) → b
  4. Intersect(xAxis, yAxis) → C
  5. Segment(C, B) → c
  6. Point(xAxis) → D
  7. Angle(D, C, A) → α
  8. Segment(C, A) → r

AI Drawing Prompt Reference

Draw a rectangular coordinate system with x and y axes. From the origin, draw a perpendicular line to the x-axis and connect the foot of the perpendicular to the origin to form a segment. Take a point on the x-axis, connect it to the origin, and measure the angle formed by the origin, the intersection point, and this point. Draw a segment from the origin to the y-axis to complete the basic geometric construction.
The prompt above was compiled from the original drawing commands and is for reference only.