The operation process of using circles to verify the Pythagorean Theorem on Geometric Sketchpad

php editor Baicao is here to share with you the operation process of using the circle card Pythagorean theorem on the geometric sketchpad. I hope it will be helpful to everyone. In the geometric sketchpad, if you want to use the circular proof of the Pythagorean theorem, you need to first understand the principle of the Pythagorean theorem, and then follow certain steps. This is a very practical skill that is widely used in mathematics learning and practical work. Next, let’s take a look at the specific operation process!

1. Open the geometric sketchpad, select the circle tool, first click in the working area, then move the mouse and then left-click the mouse to draw a circle.

2. Select the straight line on the left toolbar, click the center A of the circle, and move the mouse to form a straight line IJ. The straight line IJ and the circle intersect the points I and J. Pick any point k on the circle and connect IK and JK.

3. According to the circumferential angle theorem, it can be known that the circumferential angle corresponding to the diameter is a right angle. Therefore triangle IJK is a right triangle. Measure the length of line segment KJ (first select points K and J, and select [Distance] in [measure] in the menu bar, so that the length of line segment KJ can be displayed). In the same way, measure the lengths of line segment KI and line segment IJ.

4. Verify whether the value of KI2 KJ2 is equal to the value of IJ2. Select [Calculate] in [Number] in the menu bar, open the computer and enter the corresponding numerical values ​​to verify whether the Pythagorean theorem is satisfied.

5. When point K is moved, the values ​​of line segment KJ and line segment KI also change dynamically. This enables dynamic verification of the Pythagorean theorem.

The above is the detailed content of The operation process of using circles to verify the Pythagorean Theorem on Geometric Sketchpad. For more information, please follow other related articles on the PHP Chinese website!