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Graphical and textual operation methods for realizing rotating parabola using geometric sketchpad

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1. Use [Point Tool] to draw point A and point B, select points A and B in turn, select [Construction] - [Draw a circle with center and circumference] command to draw a circle. Select point A and point B, click [Construction] - [Straight Line], and the straight line and circle intersect at point C. Hide the straight line and draw line segments BC and AB.

Graphical and textual operation methods for realizing rotating parabola using geometric sketchpad

2. Take points D and E on line segment CB so that point D is to the left of point A. Select points A and D in turn, and select the [Construction]-[Draw a circle with center and circumference] command. Draw a small circle.

Graphical and textual operation methods for realizing rotating parabola using geometric sketchpad

3. Use the [Point Tool] to pick a point F on the small circle, and draw a perpendicular line through F to the line segment BC, with the vertical foot being G. Hide the straight line and draw the line segment FG.

Graphical and textual operation methods for realizing rotating parabola using geometric sketchpad

4. Take any point H on the line segment FG, select point F and point H, select [Construction] - [Trajectory], and draw the trajectory of point H when point F moves. .

Graphical and textual operation methods for realizing rotating parabola using geometric sketchpad

5. Select point A and point D respectively, click [Measure] - [Distance], also measure the distance between point A and point E, select [Data] - [ Calculate], click the measurement value in turn to calculate the ratio of the two. Using the same method, go to [Data] - [Calculation], click Ratio, [^], [2], [*] [1], select [cm] in the unit button, and confirm.

Graphical and textual operation methods for realizing rotating parabola using geometric sketchpad

6. Select the calculation result of the last step, click [Transform] - [Mark Distance], select point H, click [Transform] - [Translation], and move point H According to the marked distance, point H' is obtained by moving in the direction of 90 degrees.

Graphical and textual operation methods for realizing rotating parabola using geometric sketchpad

7. Select point D and point H’, click [Construct]-[Trajectory], and draw the movement trajectory of H’ when point D moves.

Graphical and textual operation methods for realizing rotating parabola using geometric sketchpad

8. Double-click point A to mark the center of rotation, select point H, click [Transform] - [Rotate], rotate point H 180 degrees around point A to obtain point H ], select point H], select [Transform] - [Translation], [Mark Distance], [Fixed angle 90 degrees] to translate, get point H'''Select point H]' and point D, click [Construct] ——[Trajectory],

Graphical and textual operation methods for realizing rotating parabola using geometric sketchpad

9. Select point F, select [Edit]-[Operation Button]-[Animation] command, draw the button for the movement of point F, and press Press the button and the parabola will rotate.

Graphical and textual operation methods for realizing rotating parabola using geometric sketchpad

Dear friends, I have just come into contact with the Geometric Sketchpad software. Come and learn the graphic and text operations of the geometric Sketchpad to realize the rotation of a parabola in this article today. I believe you will be comfortable in future use. .

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