Simple Tangent: Exploring tan(α) in a Dynamic Triangle

① This example demonstrates a draggable right triangle where the value of tan(α) updates in real time as points A and B are moved. ② The core mathematical concept is the definition of the tangent function in a right triangle—the ratio of the opposite side to the adjacent side—along with angle measurement and dynamic geometry. ③ Construction details: using GeoGebra commands Polygon to create triangle ABC, Angle to mark angle α, and movable points A and B, with text objects text1, text2, text3 displaying side lengths and the computed tan(α) value. ④ Suitable for upper middle school or lower high school students learning introductory trigonometry, and for teachers demonstrating the relationship between geometric configuration and tangent values in a classroom setting.