Addition Slider: Vector Translation and Rectangle Area

① This example uses sliders to dynamically demonstrate the addition of two numbers, visualizing the result through vector translation and rectangle areas. ② Core mathematical concepts include addition, arithmetic mean, vector translation, rectangle area, and the geometric meaning of a secant line, tightly linking algebraic operations with geometric representations. ③ Construction highlights: GeoGebra commands such as Vector, Translate, and If are used; objects include multiple points (A1 to A10, B1 to B10), vector u, translated points (A1' etc.), and text labels (text1, text2, text3), with sliders adjusting parameters a, b, and c. ④ Suitable for upper elementary to middle school students to grasp addition with geometric intuition, also useful for teachers demonstrating the integration of numbers and shapes, or as a teaching case for geometric construction and slider animation.