Currently, some novice friends will be confused by the operation of drawing proportional function images with geometric sketchpad, so here I will share a detailed tutorial on drawing proportional function images with geometric sketchpad. Friends who are interested can learn it with me.

The proportional function is a linear function, but a linear function is not necessarily a proportional function. The proportional function is a special form of a linear function, that is, in the linear function y=kx+b, if b=0, that is, the so-called "intercept on the y-axis" is zero, it is a proportional function.

For example, for the proportional function y=2x, the specific operations for drawing its image are as follows:

Step 1: Establish the coordinate system. Open the geometric sketchpad software, press and hold the custom tool button on the left, and select "Classic Coordinate System" - "Ant | Cartesian Coordinate System" from the pop-up shortcut menu to establish a plane Cartesian coordinate system as shown in the figure.

Step 2: Enter the analytical expression of the function. Click the "Data" menu above, select the "New Function" command in its drop-down menu, enter the function analytical formula as shown in the pop-up New Function dialog box, and click the "OK" button.

Step 3: In this way, the expression of function f(x)=2x appears on the drawing board. Select it with the right mouse button and select "Draw Function Image" from the pop-up right-click menu to get the function image of y=2x.

The above has explained the detailed steps for drawing proportional function images on the geometric sketchpad. I hope friends in need can learn it.