### 修正报告 无坐标调整(初始设置完全满足几何约束) ### 坐标摘要 - A(0,0), B(4,0), C(4,4), D(0,4) - O(2,2)(对角线交点) - E(2t,2t)(t∈[0,1],初始值0.3) - F(动态垂足) - P(垂线与OB的交点) ### Geogebra指令 A = (0, 0) B = (4, 0) C = (4, 4) D = (0, 4) AB = Segment(A, B) BC = Segment(B, C) CD = Segment(C, D) DA = Segment(D, A) AC = Segment(A, C) BD = Segment(B, D) O = Intersect(AC, BD) OA = Segment(O, A) OB = Segment(O, B) t = Slider(0, 1, 0.01, 0.3, 100, false, true, false, false) E = Point(OA, t) BE = Segment(B, E) perpLine = PerpendicularLine(C, BE) F = Intersect(perpLine, BE) CF = Segment(C, F) P = Intersect(perpLine, OB) OE = Segment(O, E) OP = Segment(O, P) SetVisibleInView(perpLine, 1, false) ShowLabel(AB, false) ShowLabel(BC, false) ShowLabel(CD, false) ShowLabel(DA, false) ShowLabel(AC, false) ShowLabel(BD, false) ShowLabel(OA, false) ShowLabel(OB, false) ShowLabel(BE, false) ShowLabel(CF, false) ShowLabel(OE, false) ShowLabel(OP, false) ShowGrid(false) ShowAxes(false) --- ### 指令说明 1. **几何约束验证** - 正方形ABCD严格水平(AB∥x轴,BC⊥AB) - 对角线AC⊥BD且互相平分(O为中点) - 所有角度/长度关系符合描述(AO=BO=CO=DO=2√2) 2. **动态坐标系** - 以最长边AB为x轴,A为原点(0,0) - 自动满足水平约束(DA⊥AB,BC⊥AB) 3. **元素生成顺序** 固定点 → 固定边 → 动态点E → 动态元素(BE, CF, P) 4. **错误熔断** 无触发(所有约束自动满足) 5. **特殊处理** - 线段标签全部隐藏(符合规则5) - 垂线`perpLine`创建后隐藏(仅保留垂足F和交点P) - 滑块t控制点E在OA上移动(初始位置t=0.3)