Advancing in a Straight Line: Midpoint, Secant, and Parabola Scaling

①This example demonstrates a point moving uniformly along a straight line via translation, while simultaneously showing the midpoint, a secant line, and a parabola undergoing scaling/dilation. ②Core mathematical concepts include translation transformation, midpoint coordinates, secant slope, parabola equation, and homothety (dilation), bridging coordinate geometry and transformation geometry. ③Construction highlights: from the summary, the Corner command is used to obtain screen corners, Translate command moves points, and objects include Screen, text1, B, C, pic1, rot, R, v, pic1', dist, and text2. Here pic1' is the translated image, dist measures distance, and text2 displays numerical or explanatory text. ④Suitable for high school or early college students to intuitively grasp how translation affects geometric objects, and the dynamic relationship among midpoint, secant, and parabola scaling. It also serves as a reference for teachers creating interactive demonstrations.