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题目 #21539

UUID
22697393-1995-4999-be75-ce23c882cdea
来源
人教版/七下/2026江苏七年级期末数学试卷+答案440.pdf 第 2 页,bbox [30.38, 143.06, 222.05, 157.46]
题型 / 学科
fill_blank / math / JUNIOR
知识树
KT_JUNIOR_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 0.975
最终题 ID
10059

最终题干渲染(f_body 预览)

已知\(|x-2| = \sqrt{2}\),则实数\(x\)的值为____

答案 / 解析

答案(f_answer)

x = 2 +\(\sqrt{2}\)或 x = 2 -\(\sqrt{2}\)

解析(f_ways)

由绝对值定义,|x-2| =\(\sqrt{2}\)等价于 x-2 =\(\sqrt{2}\)或 x-2 = -\(\sqrt{2}\),解得 x = 2 +\(\sqrt{2}\)或 x = 2 -\(\sqrt{2}\)。

原图与资产(0)

该题没有裁出图片资产

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 WARN 0.500
COHERENCE coherence-auditor PASS 1.000
QUALITY_GATE quality-gate FAIL 0.975
SOLVER blind-solver PASS 1.000
CRITIC critic PASS 1.000
COHERENCE coherence-auditor PASS 1.000
SYMBOLIC symbolic-auditor WARN 0.550
AUTO_REPAIR_ATTEMPT answer-repair PASS 1.000
AUTO_REPAIR answer-repair PASS 1.000
VISION vision-auditor PASS 1.000

知识点(0)

无

正式题库记录(t_question.f_id=10059)

f_qkey
7806c4907281ac04f05fbdfd5bb2a302
f_style / 难度
3 / 2
入库题干
已知\(|x-2| = \sqrt{2}\),则实数\(x\)的值为____
入库答案
x = 2 +\(\sqrt{2}\)或 x = 2 -\(\sqrt{2}\)
入库解析
由绝对值定义,|x-2| =\(\sqrt{2}\)等价于 x-2 =\(\sqrt{2}\)或 x-2 = -\(\sqrt{2}\),解得 x = 2 +\(\sqrt{2}\)或 x = 2 -\(\sqrt{2}\)。

事件

时间阶段级别消息
2026-09-25 01:57:09PUBLISHINFO已发布 t_question.f_id=10059 qkey=7806c4907281ac04f05fbdfd5bb2a302
2026-09-25 01:57:09QAINFOQA: PASS (score=0.975)