平面截圆锥：圆锥曲线的几何构造与截面分析
2020-03-27 10:15
本 GeoGebra 范例演示平面截圆锥的经典几何构造，通过 Cone、Plane、IntersectPath 等命令构建上下双圆锥体，并利用可调节的截平面与圆锥相交，动态生成椭圆、抛物线、双曲线等圆锥曲线截面。用户可通过滑块控制截平面的倾斜角度与位置，直观观察不同截面条件下圆锥曲线类型的变化规律。范例综合运用 Rotate、Translate、OrthogonalLine 等变换与辅助线命令，展示截面法向量、交线路径及关键几何点，适合高中解析几何与大学微积分课程中圆锥曲线章节的互动教学与探究学习。
所属专题
常见立体图形的截面动态演示
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