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GGB_14_1.txt
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GGB_14_1.txt
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### Geogebra 指令集生成报告
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#### [修正报告]
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- 坐标系原点修正:根据规则,选择最长边(AB)的左端点 A 作为原点 (0,0)
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- 水平约束修正:强制 AB 保持水平(y=0)
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- 几何关系验证:所有垂直关系(AC⊥BD, CF⊥BE)已通过坐标计算验证
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- 动态点处理:点 E 在 OA 上移动,添加滑块控制
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#### [坐标摘要]
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```
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A(0,0), B(4,0), C(4,4), D(0,4),
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O(2,2), E(2e,2e),
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F(垂足:BE与CF交点), P(OB与CF交点)
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滑块 e ∈ [0,1] (初始值 0.1)
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```
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#### [Geogebra 指令]
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```geogebra
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A=(0,0)
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B=(4,0)
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C=(4,4)
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D=(0,4)
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O=(2,2)
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e=Slider(0,1,0.01,1,140,false,true,false,false)
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SetValue(e,0.1)
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E=(2*e,2*e)
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AB=Segment(A,B)
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BC=Segment(B,C)
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CD=Segment(C,D)
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DA=Segment(D,A)
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AC=Segment(A,C)
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BD=Segment(B,D)
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OA=Segment(O,A)
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OB=Segment(O,B)
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ShowLabel(AB,false)
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ShowLabel(BC,false)
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ShowLabel(CD,false)
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ShowLabel(DA,false)
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ShowLabel(AC,false)
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ShowLabel(BD,false)
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ShowLabel(OA,false)
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ShowLabel(OB,false)
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BE=Segment(B,E)
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ShowLabel(BE,false)
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lineBE=Line(B,E)
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perp=PerpendicularLine(C,lineBE)
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F=Intersect(perp,Segment(B,E))
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P=Intersect(perp,Segment(O,B))
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CF=Segment(C,F)
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ShowLabel(CF,false)
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SetVisibleInView(lineBE,1,false)
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SetVisibleInView(perp,1,false)
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ShowGrid(false)
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ShowAxes(false)
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```
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> **指令说明**
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> 1. 所有线段均按题目要求用 `Segment` 创建
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> 2. 动态点 E 由滑块控制(沿 OA 移动)
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> 3. 隐藏辅助线(lineBE, perp)保留几何结构
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> 4. 严格满足:AB水平,O为中心,CF⊥BE
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> 5. 初始状态:E 位于 OA 上靠近 A 的位置(e=0.1)
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