{"ok":true,"question":{"id":21261,"question_uuid":"f90fb1fd-0a4f-4a9c-a7e5-83887e650737","job_id":3,"source_file":"人教版/七下/2026江苏七年级期末数学试卷+答案400.pdf","source_page_start":4,"source_page_end":4,"source_bbox":"[30.0, 132.46, 461.92, 249.28]","subject_code":"math","grade_level":"SENIOR","tree_code":"KT_SENIOR_MATH_STANDARD","question_type":"single_choice","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"在\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\pi 22 1 3, 0.3232,30%,√3 1 _{3}\"}, {\"text\": \"−√2, _{7}, −\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{2 _{4}}\"}, {\"text\": \", −\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{8 _{3}}\"}, {\"text\": \", 0, −(−1)^{2027}, −\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"2 _{2}\"}, {\"text\": \",-0.1030030003 ⋯( 每相邻两个3之间依次多一个0)中,负无理数有( )\", \"type\": \"text\"}, {\"type\": \"option\", \"label\": \"A\", \"blocks\": [{\"text\": \"1个\", 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\"number_label\": \"3\", \"subject_code\": \"math\", \"question_type\": \"single_choice\", \"content_sha256\": \"5987245ea05c8834aea0bcc4401911cd6d28c68617fe4b0ae2491ef6193fffcb\"}","body_html":"<div>在\\(\\pi 22 1 3, 0.3232,30%,√3 1 _{3}\\)−√2, _{7}, −\\(\\sqrt{2 _{4}}\\), −\\(\\sqrt{8 _{3}}\\), 0, −(−1)^{2027}, −\\(2 _{2}\\),-0.1030030003 ⋯( 每相邻两个3之间依次多一个0)中,负无理数有( )<br>A. 1个<br>B. 2个<br>C. 3个<br>D. 4个</div>","answer_html":"","ways_html":"","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":0.925,"error_message":"QA failed: COHERENCE,ANSWER","published_question_id":null,"content_sha256":"5987245ea05c8834aea0bcc4401911cd6d28c68617fe4b0ae2491ef6193fffcb","created_at":"2026-09-24T23:43:24","updated_at":"2026-09-24T23:58:54","answer_missing":true,"formula_fallback":false,"_number":"3","_section":"match","_section_label":"智适化匹配练习   ★ 交互式系统学习"},"assets":[],"knowledge":[],"audits":[{"id":418571,"import_question_id":21261,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"在 \\pi 22 1 3, 0.3232,30%,√3 1 _{3} −√2, _{7}, − \\sqrt{2 _{4}} , − \\sqrt{8 _{3}} , 0, −(−1)^{2027}, − 2 _{2} ,-0.1030030003 ⋯( 每相邻两个3之间依次多一个0)中,负无理数有( ) A. 1个 B. 2个 C. 3个 D. 4个","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-09-24T23:52:28"},{"id":418572,"import_question_id":21261,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"\\pi 22 1 3, 0.3232,30%,√3 1 _{3}; \\sqrt{2 _{4}}; \\sqrt{8 _{3}}; 2 _{2}","result_json":"{\"risky\": 4, \"issues\": [], \"checked\": 4, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-24T23:52:28"},{"id":418573,"import_question_id":21261,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"在 \\pi 22 1 3, 0.3232,30%,√3 1 _{3} −√2, _{7}, − \\sqrt{2 _{4}} , − \\sqrt{8 _{3}} , 0, −(−1)^{2027}, − 2 _{2} ,-0.1030030003 ⋯( 每相邻两个3之间依次多一个0)中,负无理数有( ) A. 1个 B. 2个 C. 3个 D. 4个","result_json":"{\"picks\": [], \"tree_code\": \"KT_SENIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-24T23:52:28"},{"id":418587,"import_question_id":21261,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.9,"input_snapshot":"题干：\n在\\(\\pi 22 1 3, 0.3232,30%,√3 1 _{3}\\)−√2, _{7}, −\\(\\sqrt{2 _{4}}\\), −\\(\\sqrt{8 _{3}}\\), 0, −(−1)^{2027}, −\\(2 _{2}\\),-0.1030030003 ⋯( 每相邻两个3之间依次多一个0)中,负无理数有( ) A. 1个 B. 2个 C. 3个 D. 4个\n答案：\n\n解析：\n","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.9, \"suggestions\": [\"题干中的数值列表排版较为紧凑，部分数字与符号之间缺乏清晰分隔（如“π2213”应为“π/3”），建议优化排版以提升可读性。\", \"答案和解析字段为空，建议补充完整答案及详细解析过程。\"]}","created_at":"2026-09-24T23:53:21"},{"id":418597,"import_question_id":21261,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"在 \\pi 22 1 3, 0.3232,30%,√3 1 _{3} −√2, _{7}, − \\sqrt{2 _{4}} , − \\sqrt{8 _{3}} , 0, −(−1)^{2027}, − 2 _{2} ,-0.1030030003 ⋯( 每相邻两个3之间依次多一个0)中,负无理数有( ) A. 1个 B. 2个 C. 3个 D. 4个","result_json":"{\"basis\": \"负无理数需同时满足：①为负数；②为无限不循环小数。逐一分析：π/3>0（正）；-√2<0且√2无限不循环→是；22/7>0（正分数）；-√(2¼)= -√(9/4)= -3/2<0但为有理数；-³√8= -2<0为有理数；0.3232…>0（正循环小数）；30%=0.3>0（正有理数）；√3/3>0（正无理数）；0非负；-(−1)^2027= -(-1)=1>0；-2½=-2.5<0为有理数；-0.1030030003…<0且每两个3间0的个数递增→无限不循环→是。故负无理数有2个：-√2 和 -0.1030030003…\", \"answer\": \"B\", \"confidence\": 1.0, \"handout_chars\": 0}","created_at":"2026-09-24T23:53:51"},{"id":418598,"import_question_id":21261,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案: || 盲解:B","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-09-24T23:53:51"},{"id":418599,"import_question_id":21261,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.5,"input_snapshot":"答案: || 盲解:B","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"未提取到来源答案\"}, \"status\": \"WARN\", \"applicable\": true}","created_at":"2026-09-24T23:53:51"},{"id":418603,"import_question_id":21261,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.9,"input_snapshot":"答案: || 解析:","result_json":"{\"ok\": false, \"which\": [\"solution\"], \"issues\": [\"解析为空，未给出任何推导过程或等式验证，不符合‘逐项检查’要求。\"], \"confidence\": 0.9, \"equation_checks\": []}","created_at":"2026-09-24T23:54:07"},{"id":418604,"import_question_id":21261,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"FAIL","score":0.925,"input_snapshot":"","result_json":"{\"warnings\": [], \"graded_gate\": true, \"hard_failed\": [\"COHERENCE\", \"ANSWER\"]}","created_at":"2026-09-24T23:54:07"},{"id":418669,"import_question_id":21261,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"在 \\pi 22 1 3, 0.3232,30%,√3 1 _{3} −√2, _{7}, − \\sqrt{2 _{4}} , − \\sqrt{8 _{3}} , 0, −(−1)^{2027}, − 2 _{2} ,-0.1030030003 ⋯( 每相邻两个3之间依次多一个0)中,负无理数有( ) A. 1个 B. 2个 C. 3个 D. 4个","result_json":"{\"basis\": \"负无理数需同时满足：①为负数；②为无限不循环小数。逐一分析：π/3>0（正）；-√2<0且√2无限不循环→负无理数；22/7>0（正分数）；-√(2又1/4)=-1.5（负有理数）；-³√8=-2（负整数）；0.3232…（正循环小数）；30%=0.3（正有理数）；√3/3>0（正无理数）；0（整数）；-(-1)^2027=1（正整数）；-2又1/2=-2.5（负有理数）；-0.1030030003…（负无限不循环小数→负无理数）。故负无理数有2个：-√2 和 -0.1030030003…\", \"answer\": \"B\", \"confidence\": 1.0, \"handout_chars\": 0}","created_at":"2026-09-24T23:57:45"},{"id":418670,"import_question_id":21261,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案:B || 盲解:B","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-09-24T23:57:45"},{"id":418699,"import_question_id":21261,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.9,"input_snapshot":"答案:B || 解析:逐一分析各数： 1.\\(\\pi\\)：无理数，正数。 2.\\(22/13\\)：分数，有理数，正数。 3.\\(0.3232\\)：有限小数，有理数，正数。 4.\\(30\\%\\)：即\\(0.3\\)，有理数，正数。 5.\\(\\sqrt{3}\\)：无理数，正数。 6.\\(-\\sqrt{2}\\)：无理数，负数。→ **负无理数①** 7.\\(-\\sqrt{2_4}\\)：\\(2_4=2\\)，即\\(-\\sqrt{2","result_json":"{\"ok\": false, \"which\": [\"solution\"], \"issues\": [\"解析中错误地将 2_4 解释为 2，实际上应为 2^4=16；将 8_3 解释为 8+3=11，实际上应为 8^3=512。\", \"-\\\\sqrt{2_4} = -\\\\sqrt{2}: 2_4 表示 2 的 4 次方，即 16，而非 2。因此 -\\\\sqrt{2_4} = -\\\\sqrt{16} = -4，是有理数，不是无理数。\", \"-\\\\sqrt{8_3} = -\\\\sqrt{11}: 8_3 表示 8 的 3 次方，即 512，而非 11。因此 -\\\\sqrt{8_3} = -\\\\sqrt{512} = -16\\\\sqrt{2}，是无理数且为负数，但推导过程错误。\"], \"confidence\": 0.9, \"equation_checks\": [{\"valid\": false, \"reason\": \"2_4 表示 2 的 4 次方，即 16，而非 2。因此 -\\\\sqrt{2_4} = -\\\\sqrt{16} = -4，是有理数，不是无理数。\", \"equation\": \"-\\\\sqrt{2_4} = -\\\\sqrt{2}\"}, {\"valid\": false, \"reason\": \"8_3 表示 8 的 3 次方，即 512，而非 11。因此 -\\\\sqrt{8_3} = -\\\\sqrt{512} = -16\\\\sqrt{2}，是无理数且为负数，但推导过程错误。\", \"equation\": \"-\\\\sqrt{8_3} = -\\\\sqrt{11}\"}]}","created_at":"2026-09-24T23:58:54"},{"id":418700,"import_question_id":21261,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"PASS","score":1.0,"input_snapshot":"答案:B || 盲解:B","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"盲解与来源答案一致\"}, \"status\": \"PASS\", \"applicable\": true}","created_at":"2026-09-24T23:58:54"},{"id":418701,"import_question_id":21261,"audit_type":"AUTO_REPAIR_ATTEMPT","auditor_name":"answer-repair","status":"FAIL","score":1.0,"input_snapshot":null,"result_json":"{\"critic\": true, \"symbolic\": true, \"coherence\": false, \"consensus\": \"two_solvers+symbolic+critic+coherence\", \"confidence\": 1.0, \"verifier_base\": \"http://127.0.0.1:8092/v1\", \"verifier_confidence\": 1.0, \"critic_explicit_pass\": true, \"symbolic_literal_warn\": false, \"symbolic_explicit_pass\": true, \"coherence_explicit_pass\": false}","created_at":"2026-09-24T23:58:54"}]}