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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)

预览类型页source bboxhashURL本地路径
embedded_image8 [30.0, 521.57, 313.45, 742.87] 0aa75dee3521f03c…
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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 13:26:49PUBLISHINFO已发布 t_question.f_id=9360 qkey=e19a6160c0618388ed6872d42040fbd8
2026-09-24 13:26:49QAINFOQA: PASS (score=0.937)