The operation process of drawing the midline of a triangle on the geometric sketchpad

php editor Xiaoxin today introduces to you a very interesting operation process-making triangles with a geometric sketchpad. This is a simple and interesting mathematical operation. By using the geometric sketchpad tool, we can easily draw triangles of various shapes. Whether it is an equilateral triangle, an isosceles triangle or a right triangle, you only need to follow certain steps to complete it. Let’s learn this interesting operation process together!

1. Create a new file and draw a triangle.

(1) Select the point drawing tool, hold down Shift, and draw three points in the work area (hold down Shift to ensure that these three points are selected at the same time).

(2) Click the menu [Construction] - [Line Segment] (Ctrl L) to draw three sides at the same time. Use the text tool to click three vertices. The final effect is as shown in the figure.

#2. Define the midpoint.

(1) Keep the three edges just drawn selected. If you accidentally release them, use the [Select] tool to select them again, but be careful not to select the vertices, otherwise the [Midpoint] command will not be available.

(2) Click the menu [Construction]---[Midpoint] (Ctrl M) to get the midpoint of the three sides, and use the text tool to label each point, as shown in the final figure.

3. Draw the center line.

(1) Use the [Select] tool to click in a blank area of ​​the workspace to release all selected objects.

(2) Use the [Select] tool to click points A and D respectively, select these two points, and use the shortcut key Ctrl L to connect the line segment AD.

(3) Make BF and CE in the same way.

4. The relationship between quantity and position.

(1) Select points B and D, click the menu [Measure]---[Distance], measure the distance of BD, measure CD and BC in the same way.

(2) Use the shortcut key [Alt =] to pop up the calculator; click [BD=? 】,【÷】,【BC=? 】,【Sure】.

(3) The final result is as shown in the figure. Drag the vertices to change the shape, observe the quantity relationship, and observe the position relationship.

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