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Operation steps to realize 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.

Operation steps to realize 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.

Operation steps to realize 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.

Operation steps to realize 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. .

Operation steps to realize 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.

Operation steps to realize 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.

Operation steps to realize 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.

Operation steps to realize 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],

Operation steps to realize 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.

Operation steps to realize rotating parabola using geometric sketchpad

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