Currently, many novice partners consult the editor about the operation of drawing irrational points with the geometric sketchpad. Below, the author will share the operation process of drawing irrational points with the geometric sketchpad. I believe it will be helpful to everyone.

Method 1 Geometric method

For example, √2 is the diagonal (hypotenuse) of a right triangle with side length 1, and then use a ruler and compass to draw the drawing on the geometric sketchpad.

Detailed operation: Create a new parameter t1=1, the unit is distance, execute the mark distance command on the parameter; create line segments AB and AC with a length of 1cm; perform a square root calculation on the sum of AB2+AC2, and the obtained value is the length of line segment BC; This can also be verified by measuring the distance between the three sides. The hypotenuse BC represents √2, and any point on this line segment is an irrational number point.

Method 2 Algebraic calculation

Use the calculation command under the "Data" menu of the geometric sketchpad to obtain the approximate value of the irrational number, and then use the "Draw Point" command under the "Draw" menu to draw the irrational number point.

If there are such coordinate points, one coordinate is a rational number and the other is an irrational number. The method of drawing the coordinate point is as follows:

​ ​​Create a new parameter t1=1, with no unit, and use this parameter as the abscissa.

Use the calculation command to calculate the approximate value of the irrational number. As the ordinate, the calculated irrational number is as shown in the figure.

          Draw irrational number coordinate points. Click the "Draw Point" command under the "Draw" menu to open the Draw Point dialog box, click the parameters t1, (1+√17)/2=2.56, and click "Draw" to establish the coordinate point A. Similarly, Another irrational number point B can be drawn.

​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​? Friends in need should hurry up and read this article.