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Cuboid and Pie Chart Division Demo

Cuboid and Pie Chart Division Demo
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2014-07-05 03:14
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates volume division of a cuboid and its representation in a pie chart. Core math concepts include solid geometry, angles, equations, division, and slope. Construction highlights involve GeoGebra commands like Circle, Intersect, Point, Line, utilizing objects such as O (center), U (point), c (circle), U' (point), a, b, d, e, a_b. Suitable for middle school and above students learning solid geometry and data visualization.

GeoGebra Commands & Parameters

  1. Circle(O, U) → c
  2. Intersect(c, yAxis, 2) → U'
  3. Point(xAxis) → a
  4. Point(yAxis) → b
  5. Line(b, a) → d
  6. Line(U', d) → e
  7. Intersect(e, xAxis) → a_b

AI Drawing Prompt Reference

Draw a cuboid and represent its volume division with a pie chart beside it. Start by drawing a circle that intersects the y-axis at two points, one of which lies on the x-axis. Connect these two points with a line. Then, draw a line segment from the other intersection point of the circle with the y-axis to this line, which intersects the x-axis at another point. Use a pie chart to visualize the volume proportions of these segments.
The prompt above was compiled from the original drawing commands and is for reference only.