单位圆 - 第一部分
几何画板及绘图内容加载中,请稍等……
本范例演示单位圆的基本构造。涉及的核心数学概念包括圆的性质和三角函数。通过使用GeoGebra命令如Intersect、Point、Line等,可以动态展示单位圆上的点和角度关系。适合初中及以上学生学习几何和三角函数。
GeoGebra 命令及参数
Intersect(xAxis, yAxis) → KPoint(xAxis) → JPoint(yAxis) → GLine(G, xAxis) → iIntersect(k, i) → H, IAngle(H, K, J) → βIntersect(xAxis, yAxis) → FPoint(xAxis) → CLine(C, yAxis) → fCircle(C, Opposite) → dIntersect(d, f) → D, EAngle(E, F, C) → αCircle(A, a) → eTextfield(a) → InputBox1Point(e) → BTextfield(Opposite) → InputBox2Circle(F, b) → gElement(list, SideSetting) → hTextfield(A11) → InputBox3Circle(K, j) → pMirror(E, xAxis) → E'Mirror(H, yAxis) → H'Line(B, yAxis) → lIntersect(l, xAxis) → LOrthogonalLine(H, xAxis) → nOrthogonalLine(H', xAxis) → qIntersect(n, xAxis) → MIntersect(q, xAxis) → NTextfield(θ) → InputBox4Rotate(L, θ, F) → L'Angle(L, F, L') → δRay(F, L') → rTableText({{A1, B1, C1, D1}, {A2, B2, C2, D2}, {A3, B3, C3, D3}, {A4, B4, C4, D4}, {A5, B5, C5, D5}, {A6, B6, C6, D6}, {A7, B7, C7, D7}, {A8, B8, C8, D8}, {A9, B9, C9, D9}}, "|_") → text2TableText({{A11, B11}, {A12, B12}, {A13, B13}, {A14, B14}, {A15, B15}, {A16, B16}, {A17, B17}, {A18, B18}, {A19, B19}, {A20, B20}, {A21, B21}, {A22, B22}, {A23, B23}, {A24, B24}, {A25, B25}}, "|_") → text3
AI 绘图提示语参考
绘制单位圆,首先画出坐标轴的交点K,然后在x轴上取点J和y轴上取点G,通过G和x轴画直线i,与圆交于H和I,计算角β。接着画圆心在x轴上的圆d,与y轴交于D和E,计算角α。绘制单位圆e,输入圆的半径a。绘制单位圆f,输入圆的半径b。通过E和H的镜像E'和H',画出与x轴垂直的直线n和q,与x轴交于M和N。旋转L得到L',计算角δ,画出射线r。最后,根据给定数据绘制表格。
以上提示语为根据原始绘图命令整理而来,仅供参考。