曲线间等腰三角形

几何画板及绘图内容加载中，请稍等……

2020-01-09 07:19

①本范例演示在两条曲线之间动态构建等腰三角形；②涉及核心数学概念包括等腰三角形判定、解析几何、函数图像与积分；③作图要点：使用 Point, Polygon, Segment, Textfield, Prism, Sequence 等命令构建图形，通过 y1, y2, radius, f, g, h 等对象实现曲线间交互；④适合高中及以上数学教学，用于理解函数性质与几何变换。

GeoGebra 命令及参数

Point(xAxis) → A
Polygon((x(A), y2(x(A)), 0), (x(A), y1(x(A)), 0), (x(A), y2(A), (2 * radius(x(A))))) → poly1, f, g, h
Segment((x(A), axle(x(A)) - radius(x(A))), (x(A), axle(x(A)) + radius(x(A)))) → base
Textfield(y1) → InputBox1
Prism(poly1, dx) → a, B, edge3, edge4, edge5, edge6, C, D, face1, face2, face3, face4, edge1, edge2
Textfield(y2) → InputBox2
Textfield() → InputBox3
Textfield() → InputBox4
Sequence(Prism[Polygon[(t, y2(t), 0), (t, y1(t), 0), (t, y2(t), (2 * radius(t)))], dx], t, L, R, dx) → slices