{"ok":true,"question":{"id":21256,"question_uuid":"03588cbc-f182-43a0-8ae2-99e104fa2624","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":2,"source_page_end":2,"source_bbox":"[304.5, 265.05, 508.87, 347.77]","subject_code":"math","grade_level":"SENIOR","tree_code":"KT_SENIOR_MATH_STANDARD","question_type":"fill_blank","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"给出下列数： −8 2 7,，．−\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"3 \\\\frac{1}{2},,0.66666L, 36,0, 3 4, \\\\frac{4}{7}\"}, {\"text\": \"， 0.080080008L 其中无理数有( ) A ．个01．个 ．个2 ．个3 B C D\", \"type\": \"text\"}, {\"type\": \"solution\", \"blocks\": [{\"type\": \"math_inline\", \"latex\": \"\\\\pi\"}, {\"text\": \",\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt[3]{4}\"}, {\"text\": \",\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"0.080080008\\\\cdots\"}, {\"text\": \"共三个无理数，答案选D.\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [304.5, 265.05, 508.87, 347.77], \"file\": \"人教版/七下/2026江苏七年级期末数学试卷+答案400.pdf\", \"regions\": [{\"bbox\": [304.5, 265.05, 508.87, 347.77], \"page\": 2}], \"section\": \"example\", \"page_end\": 2, \"page_start\": 2, \"section_label\": \"跟我学        关键母题，常考题型各个击破！\", \"answer_regions\": [{\"bbox\": [303.2569274902344, 399.5160827636719, 486.3477478027344, 432.9802856445313], \"page\": 2}], \"answer_original\": \"\", \"solution_original\": \"^{3},4,0.080080008 共三个无理数, 答案选. D\"}, \"version\": 1, \"grade_level\": \"SENIOR\", \"number_label\": \"2\", \"subject_code\": \"math\", \"question_type\": \"fill_blank\", \"content_sha256\": \"91cf1acc76914e15694ea40fd9a682676b0c9341623601d74d71e6cbac5a8eb9\"}","body_html":"<div>给出下列数： −8 2 7,，．−\\(3 \\frac{1}{2},,0.66666L, 36,0, 3 4, \\frac{4}{7}\\)， 0.080080008L 其中无理数有( ) A ．个01．个 ．个2 ．个3 B C D</div>","answer_html":"","ways_html":"\\(\\pi\\),\\(\\sqrt[3]{4}\\),\\(0.080080008\\cdots\\)共三个无理数，答案选D.","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":0.9,"error_message":"QA failed: COHERENCE,ANSWER","published_question_id":null,"content_sha256":"91cf1acc76914e15694ea40fd9a682676b0c9341623601d74d71e6cbac5a8eb9","created_at":"2026-09-24T23:43:24","updated_at":"2026-09-25T00:02:20","answer_missing":true,"formula_fallback":false,"_number":"2","_section":"example","_section_label":"跟我学        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0}","created_at":"2026-09-24T23:53:43"},{"id":418596,"import_question_id":21256,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"给出下列数： −8 2 7,，．− 3 \\frac{1}{2},,0.66666L, 36,0, 3 4, \\frac{4}{7} ， 0.080080008L 其中无理数有( ) A ．个01．个 ．个2 ．个3 B C D","result_json":"{\"picks\": [], \"tree_code\": \"KT_SENIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-24T23:53:43"},{"id":418612,"import_question_id":21256,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.9,"input_snapshot":"题干：\n给出下列数： −8 2 7,，．−\\(3 \\frac{1}{2},,0.66666L, 36,0, 3 4, \\frac{4}{7}\\)， 0.080080008L 其中无理数有( ) A ．个01．个 ．个2 ．个3 B C D\n答案：\n\n解析：\n\\(\\pi\\),\\(\\sqrt[3]{4}\\),\\(0.080080008\\cdots\\)共三个无理数，答案选D.","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.9, \"suggestions\": [\"题干中数字列表的排版较为紧凑，部分数字之间缺乏清晰分隔，可能影响阅读体验。建议在数字之间增加空格或使用更清晰的标点符号进行分隔。\", \"题干中的“L”符号可能表示无限循环小数，但这一表示法在数学中并不常见，容易引起混淆。建议使用更标准的表示法，如使用横线表示循环部分（例如，0.66666... 表示为 0.\\\\overline{6}）。\", \"答案和解析部分可以更加详细，解释每个数字为何是有理数或无理数，以帮助读者更好地理解概念。\"]}","created_at":"2026-09-24T23:54:40"},{"id":418620,"import_question_id":21256,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":0.9,"input_snapshot":"给出下列数： −8 2 7,，．− 3 \\frac{1}{2},,0.66666L, 36,0, 3 4, \\frac{4}{7} ， 0.080080008L 其中无理数有( ) A ．个01．个 ．个2 ．个3 B C D","result_json":"{\"basis\": \"无理数是无限不循环小数。给定数中，π是无理数；−8、2.7、−3½、0.66666L（循环小数）、√36=6、0、³√4（有理数，因为4不是完全立方数但³√4可表示为分数形式？实际上³√4是无理数，但这里需仔细判断）、4/7、0.080080008L（循环小数）中，只有π明确是无理数。³√4：4的立方根不是有理数，因为若有p/q，则p³=4q³，4不可能是完全立方数，故³√4是无理数。但题目中写的是“3 4”，可能指³√4？在文本中是“3 4”，但原题图片中是“³√4”，所以应理解为立方根。因此，π和³√4是无理数，共2个。但选项中有C.2个，所以答案应为C。但用户提供的当前题干中写的是“3 4”，可能是排版错误，应为³√4。根据图片，是³√4。因此，无理数有π和³√4，共2个，选C。\", \"answer\": \"B\", \"confidence\": 0.9, \"handout_chars\": 0}","created_at":"2026-09-24T23:54:55"},{"id":418621,"import_question_id":21256,"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":"2026-09-24T23:54:55"},{"id":418622,"import_question_id":21256,"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":"2026-09-24T23:54:55"},{"id":418710,"import_question_id":21256,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.8,"input_snapshot":"答案: || 解析:\\(\\pi\\),\\(\\sqrt[3]{4}\\),\\(0.080080008\\cdots\\)共三个无理数，答案选D.","result_json":"{\"ok\": false, \"which\": [\"solution\"], \"issues\": [\"解析中列出的无理数与题目给出的数不完全一致：题目中有π（无理数）、0.080080008L（若L表示无限循环，则可能是有理数，需明确；但解析将其视为无理数）、√[3]{4}（题目中写的是3 4，可能是√[3]{4}的误写，但原题未明确）、36（有理数）、0（有理数）、−8（有理数）、2（有理数）、7（有理数）、−3 1/2（有理数）、0.66666L（若L表示无限循环，则是1/6，有理数）、4/7（有理数）。解析中提到的√[3]{4}在题目中写作'3 4'，可能存在排版错误，但原题未明确是立方根，因此解析的假设可能不成立。此外，0.080080008L若表示无限循环小数（如0.08008000\", \"答案选项标注混乱：题目中选项为'A ．个01．个 ．个2 ．个3 B C D'，可能应为'A. 0个 B. 1个 C. 2个 D. 3个'，但解析直接选D，未明确对应关系。\"], \"confidence\": 0.8, \"equation_checks\": []}","created_at":"2026-09-24T23:59:13"},{"id":418711,"import_question_id":21256,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"FAIL","score":0.9,"input_snapshot":"","result_json":"{\"warnings\": [], \"graded_gate\": true, \"hard_failed\": [\"COHERENCE\", \"ANSWER\"]}","created_at":"2026-09-24T23:59:13"},{"id":418745,"import_question_id":21256,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"给出下列数： −8 2 7,，．− 3 \\frac{1}{2},,0.66666L, 36,0, 3 4, \\frac{4}{7} ， 0.080080008L 其中无理数有( ) A ．个01．个 ．个2 ．个3 B C D","result_json":"{\"basis\": \"无理数是无限不循环小数。给定数中：π是无理数；0.66666L是无限循环小数（有理数）；√36=6是有理数；³√4是无理数；0.080080008L是无限不循环小数（无理数）。因此共有3个无理数：π、³√4、0.080080008L。\", \"answer\": \"D\", \"confidence\": 1.0, \"handout_chars\": 0}","created_at":"2026-09-25T00:01:26"},{"id":418746,"import_question_id":21256,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案:D || 盲解:D","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-09-25T00:01:26"},{"id":418757,"import_question_id":21256,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.85,"input_snapshot":"答案:D || 解析:题目给出的数为：-8, 2, 7, -3.5,\\(\\pi, 0.66666\\)..., 36, 0, 3/4, 4/7, 0.080080008...（L表示无限不循环）。其中无理数有\\(\\pi\\)和0.080080008...，共2个。但根据选项设置和常见题型，0.080080008...若为无限不循环小数，则为无理数；若为无限循环小数（如0.080080008...），则可能为有理数。但题目中","result_json":"{\"ok\": false, \"which\": [\"solution\"], \"issues\": [\"解析中关于 0.080080008... 的判断存在矛盾：先称其为‘无限不循环小数’（无理数），后又说‘若为无限循环小数...则可能为有理数’，但未明确该数实际是循环还是不循环。\", \"解析推测题目中'3 4'为√[3]{4}的排版错误，但题干原文并未显示根号或立方根符号，属于主观臆断，缺乏依据。\", \"最终结论‘答案选D’与前面推导的‘共2个无理数’（应选C）不一致，逻辑跳跃。\"], \"confidence\": 0.85, \"equation_checks\": []}","created_at":"2026-09-25T00:02:20"},{"id":418758,"import_question_id":21256,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"PASS","score":1.0,"input_snapshot":"答案:D || 盲解:D","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"盲解与来源答案一致\"}, \"status\": \"PASS\", \"applicable\": true}","created_at":"2026-09-25T00:02:20"},{"id":418759,"import_question_id":21256,"audit_type":"AUTO_REPAIR_ATTEMPT","auditor_name":"answer-repair","status":"FAIL","score":0.9,"input_snapshot":null,"result_json":"{\"critic\": true, \"symbolic\": true, \"coherence\": false, \"consensus\": \"two_solvers+symbolic+critic+coherence\", \"confidence\": 0.9, \"verifier_base\": \"http://127.0.0.1:8091/v1\", \"verifier_confidence\": 1.0, \"critic_explicit_pass\": true, \"symbolic_literal_warn\": false, \"symbolic_explicit_pass\": true, \"coherence_explicit_pass\": false}","created_at":"2026-09-25T00:02:20"}]}