用几何画板探究一动态三角形的重心轨迹

Using Sketchpad to Explore the Center of Gravity Trajectory of a Dynamic Triangle

对任意给定的三角形,以三角形的每边为一边作三个相似的三角形,得到另一个三角形,用数学软件几何画板探究此三角形的重心轨迹,通过做数学实验直观地得到结论并猜想,最后用传统演绎推理证明了此结论。

For any given triangle,three similar triangles are made on one side of each side of the triangle and another dynamic triangle is obtained.Sketchpad is used to explore the center of gravity of the dynamic triangle.The conclusion is obtained and conjecture is obtained by doing mathematical experiments by Sketchpad.Finally,the conclusion is proved by deduction.