Specific steps for drawing irrational number points on geometric sketchpad

How to draw irrational number points with Geometry Sketchpad? PHP editor Yuzai brings you the specific steps for drawing irrational points on the geometric sketchpad. This tutorial will introduce in detail how to use Geometry Sketchpad to draw common irrational points, such as π and √2. With step-by-step steps and clear instructions, this tutorial will guide you to easily master the technique of drawing irrational points in Geometry Sketchpad.

Method 1 Geometry method

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

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

Method of second algebra 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 [Calculation command under the [Drawing] menu] Draw Point】 command realizes drawing irrational number points.

If there is such a coordinate point, 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 horizontal coordinate.

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.

The above is the detailed content of Specific steps for drawing irrational number points on geometric sketchpad. For more information, please follow other related articles on the PHP Chinese website!