Detailed operation method of constructing function image of polar coordinate system in Geometry Sketchpad

1. Select [Drawing] - [Grid Style] - [Polar Coordinate Grid] menu command, the pole label is [O] and the unit point is [A]. Select the [Ray] tool, hold down the [Shift] key, and draw a horizontal ray labeled CD. Use the [Point] tool to draw any point E on the ray.

2. Select point C and point E, select [Measure] - [Coordinate Distance] to measure the [Coordinate Distance] of point C and point E. , use the same method to measure the [coordinate distance] between point C and point D. Select the CE and CD measurement values, select [Data] - [Calculation], in the [New Calculation] dialog box, click [CD], [÷], [CE], click the [OK] button, and the calculation results will appear.

3. Right-click the calculated value, select [Properties] - [Label], change it to [e], select point D, press the shortcut key [Ctrl H], hide the point D.

4. Use the same method to construct the horizontal ray FG and the point H on the ray. Use the same method to measure the coordinate distance of points F and H. Change the measurement value label to [p 】, hidden point G.

5. Select [e] and [p], click [Draw] - [Draw New Function], in the [New Function] dialog box, click [Equation] button, select [r=f(θ)] in the drop-down list, click and enter [e], [*], [p], [÷], [(], [1], [-], [e] in sequence , [*], [cos], [θ], click the [OK] button, the function image is displayed in the operation area, drag the equation to the appropriate position, and drag the point E or point H to change the curve image

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