Oresme Proposition 1: Interactive 3D Vector and Kite Geometry Exploration

①This example demonstrates an interactive 3D geometric construction where points A through G can be dynamically adjusted to explore the properties of a kite-shaped quadrilateral, its circumcircle, and right triangles within a three-dimensional vector space. ②Core mathematical concepts include three-dimensional vectors, kite quadrilateral properties, right triangle criteria, circumscribed circles, and an introduction to hypothesis testing through geometric measurements. ③Construction details: The GeoGebra commands Segment and Textfield are used to create segments AB, BC, CD, DE, EF, FG and input fields; Measure objects track lengths and angles; buttons (button1-4) trigger dynamic changes; text boxes (text1-3) display numerical results and conclusions. ④This resource is suitable for high school to early college students, serving as a visual aid for teaching 3D geometry, vector operations, and inquiry-based learning, as well as a demonstration tool for teachers exploring dynamic geometric relationships.