Some friends are not familiar with the Geometric Sketchpad software, and they still have doubts about the operation of the board to construct the trajectory of a point on the circle when the circle is rolling. So, how does the Geometric Sketchpad construct the trajectory of a point on the circle when the circle is rolling? Below, the editor will share a graphic tutorial on how to construct the trajectory of a point on a circle when the circle rolls on the geometric sketchpad. I hope it will be helpful to you.
1. Create a new geometric sketchpad file. Select the "Draw" - "Show Grid" command. With the origin as the endpoint, draw a ray through the unit point.
2. Pick any point C on the positive half axis of the Y-axis. Draw a vertical line to the Y-axis through point C. Pick any point D on the vertical line.
3. Select points A and C, and select the "Construction" - "Line Segment" command. Draw a circle with D as the center and the length of line segment AC as the radius. Compare the circle to the X-axis to point E. Use the same method to construct line segment AE.
4. Select line segments AC and AE, select the "Measure" - "Length" command to measure the lengths of line segments AC and AE. Select the "Data" - "Calculate" command to perform the calculation as shown in the figure. The calculation results will appear in the upper left corner of the drawing area.
5. Set D as the center of rotation and the calculation result in step 4 as the marker angle. Select point E, and after using D as the rotation center and setting the calculation result in step 4 as the marked angle, point E' is obtained. Draw the line segment DE'.
6. Select point D and select the "Edit" - "Operation Buttons" - "Animation" command. Select points E’ and D in turn, select the "Construction" - "Trajectory" command, and the trajectory diagram as shown in the figure will appear.
7. Select the "File" - "Save" command.
Above, I have shared with you a graphic tutorial on how to use the geometric sketchpad to construct the trajectory of a point on a circle when the circle rolls. Friends in need should hurry up and read this article.
