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Detailed method for making triangles with the same base and equal height and equal areas using geometric sketchpad

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2024-04-22 10:37:191125browse

How to create geometric sketchpad courseware for triangles with the same base and equal height and equal areas? PHP editor Youzi brings you detailed production methods. In the following content, the editor will guide you step by step, from opening the geometric sketchpad software to drawing triangles, to calculating and comparing areas, and finally creating visual courseware.

1. Select [Polygon Tool] and make a triangle ABC.

Detailed method for making triangles with the same base and equal height and equal areas using geometric sketchpad

2. Select three points A, B, and C in sequence, execute the [Interior of Triangle] command in the [Construction] menu, and fill the interior color of triangle ABC.

Detailed method for making triangles with the same base and equal height and equal areas using geometric sketchpad

3. Select the inside of the triangle and execute the [Area] command in the [Measure] menu to measure the area of ​​triangle ABC.

Detailed method for making triangles with the same base and equal height and equal areas using geometric sketchpad

4. Select point A and line segment BC, execute the [Construction]-[Parallel Line] command, draw a parallel line j passing through vertex A and parallel to line segment BC, and then draw a parallel line j on the straight line Take a point D and use the [Polygon Tool] to construct the triangle DBC.

Detailed method for making triangles with the same base and equal height and equal areas using geometric sketchpad

5. Select three points D, B, and C in turn, execute the [Interior of Triangle] command in the [Construction] menu, fill the internal color of the triangle DBC; execute the [Measurement] menu The [Area] command measures the area of ​​triangle DBC.

Detailed method for making triangles with the same base and equal height and equal areas using geometric sketchpad

6. Hide parallel line j, construct parallel line k that passes through point D and is parallel to line segment BC, select point D and parallel line k, and execute [Edit]-[Operation button ]—[Animation] command, click the [OK] button in the pop-up animation object dialog box to animate point D moving on the line.

Detailed method for making triangles with the same base and equal height and equal areas using geometric sketchpad

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