题目 #19931
- UUID
f5b54334-d655-4ebb-a472-759bf059e363- 来源
- 人教版/七下/2026江苏七年级期末数学试卷+答案180.pdf 第 8 页,bbox
[30.0, 485.07, 483.18, 514.53] - 题型 / 学科
- fill_blank / math / SENIOR
- 知识树
KT_SENIOR_MATH_STANDARD- 难度
- 难度 2 / 5 简单 · 单一知识点
- QA 状态
- PUBLISHED 重试 0 次,得分 0.937
- 最终题 ID
9360
最终题干渲染(f_body 预览)
如图,将\(\triangle ABC\)沿AB方向平移得到\(\triangle EFD\),DE交BC于点M,若\(\angle ACB = 50^{\circ}\),\(\angle F = 80^{\circ}\),则\(\angle MEB =\)____.

答案 / 解析
答案(f_answer)
50^\(\circ\)
解析(f_ways)
由平移性质知 \triangle ABC \cong \triangle EFD,故\(\angle\)B =\(\angle\)F = 80^\(\circ\),\(\angle\)ACB =\(\angle\)D = 50^\(\circ\)。在 \triangle ABC 中,\(\angle\)A = 180^\(\circ - 80^\circ - 50^\circ = 50^\circ\)。因平移,AC\(\parallel\)DF,故\(\angle\)MEB =\(\angle\)A = 50^\(\circ(\)同位角)。
原图与资产(1)
审计记录
| 阶段 | 审计器 | 结果 | 得分 | 依据(简短) |
|---|---|---|---|---|
| STRUCTURE | structure-rule | PASS | 0.900 | |
| FORMULA | formula-auditor | PASS | 1.000 | |
| KNOWLEDGE | knowledge-auditor | WARN | - | |
| SOLVER | blind-solver | PASS | 0.950 | |
| CRITIC | critic | PASS | 0.950 | |
| VISION | vision-auditor | PASS | 1.000 | |
| SYMBOLIC | symbolic-auditor | WARN | 0.500 | |
| COHERENCE | coherence-auditor | FAIL | 0.900 | |
| QUALITY_GATE | quality-gate | FAIL | 0.937 | |
| SOLVER | blind-solver | PASS | 1.000 | |
| CRITIC | critic | PASS | 1.000 | |
| COHERENCE | coherence-auditor | PASS | 0.900 | |
| SYMBOLIC | symbolic-auditor | PASS | 0.950 | |
| AUTO_REPAIR_ATTEMPT | answer-repair | PASS | 0.950 | |
| AUTO_REPAIR | answer-repair | PASS | 0.950 | |
| VISION | vision-auditor | PASS | 0.950 |
知识点(0)
无
正式题库记录(t_question.f_id=9360)
- f_qkey
e19a6160c0618388ed6872d42040fbd8- f_style / 难度
- 3 / 2
- 入库题干
- 如图,将\(\triangle ABC\)沿AB方向平移得到\(\triangle EFD\),DE交BC于点M,若\(\angle ACB = 50^{\circ}\),\(\angle F = 80^{\circ}\),则\(\angle MEB =\)____.

- 入库答案
- 50^\(\circ\)
- 入库解析
- 由平移性质知 \triangle ABC \cong \triangle EFD,故\(\angle\)B =\(\angle\)F = 80^\(\circ\),\(\angle\)ACB =\(\angle\)D = 50^\(\circ\)。在 \triangle ABC 中,\(\angle\)A = 180^\(\circ - 80^\circ - 50^\circ = 50^\circ\)。因平移,AC\(\parallel\)DF,故\(\angle\)MEB =\(\angle\)A = 50^\(\circ(\)同位角)。
事件
| 时间 | 阶段 | 级别 | 消息 |
|---|---|---|---|
| 2026-09-24 13:26:49 | PUBLISH | INFO | 已发布 t_question.f_id=9360 qkey=e19a6160c0618388ed6872d42040fbd8 |
| 2026-09-24 13:26:49 | QA | INFO | QA: PASS (score=0.937) |