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题目 #24326

UUID
045ae6e6-3fba-43d6-89df-802621113500
来源
人教版/九上/2026江苏九年级期中数学试卷+答案1190.pdf 第 3 页,bbox [31.56, 192.13, 364.27, 473.37]
题型 / 学科
single_choice / math / JUNIOR
知识树
KT_JUNIOR_MATH_STANDARD
难度
难度 3 / 5 中等 · 多步骤
QA 状态
PUBLISHED 重试 0 次,得分 0.975
最终题 ID
11250

最终题干渲染(f_body 预览)

[\(\text{小试2}\)] 如图,A,B,C 是\odot O上的三个点,\(\angle\)AOB =\(\frac{1}{3}\angle\)BOC,\(\angle\)BAC = 45^{\(\circ\)},则\(\angle\)ACB的度数为( ).
A. 15°
B. 20°
C. 22.5°
D. 30°

答案 / 解析

答案(f_answer)

A

解析(f_ways)

1 1 因为∠BAC = 45°, ∴∠BOC = 2∠BAC = 90°, ∴∠AOB = _{3}∠BOC = 30°所以∠ACB = _{2}∠AOB = 15°,故选A.

原图与资产(2)

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embedded_image3 [31.5, 241.55, 173.2, 380.68] 22f21acc0a36eb35…
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embedded_image3 [30.0, 491.5, 71.19, 527.45] 1547f0753c070d56…
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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 -
VISION vision-auditor PASS 1.000
SOLVER blind-solver PASS 1.000
CRITIC critic PASS 1.000
SYMBOLIC symbolic-auditor PASS 1.000
COHERENCE coherence-auditor PASS 1.000
QUALITY_GATE quality-gate PASS 0.975

知识点(0)

无

正式题库记录(t_question.f_id=11250)

f_qkey
d4154c3ea43e244c8eea6b9400f31b9e
f_style / 难度
1 / 2
入库题干
[\(\text{小试2}\)] 如图,A,B,C 是\odot O上的三个点,\(\angle\)AOB =\(\frac{1}{3}\angle\)BOC,\(\angle\)BAC = 45^{\(\circ\)},则\(\angle\)ACB的度数为( ).
A. 15°
B. 20°
C. 22.5°
D. 30°
入库答案
A
入库解析
1 1 因为∠BAC = 45°, ∴∠BOC = 2∠BAC = 90°, ∴∠AOB = _{3}∠BOC = 30°所以∠ACB = _{2}∠AOB = 15°,故选A.

事件

时间阶段级别消息
2026-09-25 23:52:58PUBLISHINFO已发布 t_question.f_id=11250 qkey=d4154c3ea43e244c8eea6b9400f31b9e
2026-09-25 23:52:58QAINFOQA: PASS (score=0.975)
2026-09-25 23:50:52FORMULAWARN公式转换未确认,保留原文本: solution