Files
ocr/GGB_14.txt
2025-08-14 16:04:59 +08:00

71 lines
1.8 KiB
Plaintext
Raw Blame History

This file contains ambiguous Unicode characters

This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

### 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⊥ABBC⊥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