{"ok":true,"question":{"id":182414,"question_uuid":"ce316839-be65-46fb-8e0d-03e52d01babd","job_id":9,"source_file":"沪教版/八下/周琼玟Q_18978751881_95_检测.pdf","source_page_start":1,"source_page_end":1,"source_bbox":"[30.22, 350.82, 287.28, 478.48]","subject_code":"math","grade_level":"JUNIOR","tree_code":"KT_JUNIOR_MATH_STANDARD","question_type":"single_choice","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"下列各组二次根式中，是同类二次根式的是(      )\", \"type\": \"text\"}, {\"type\": \"option\", \"label\": \"A\", \"blocks\": [{\"text\": \"√8与√\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{2}{3}\"}], \"source_bbox\": [47.57, 378.18, 94.42, 406.01], \"source_page\": 1}, {\"type\": \"option\", \"label\": \"B\", \"blocks\": [{\"type\": \"math_inline\", \"latex\": \"\\\\frac{1}{2}\"}, {\"text\": \"√12与√\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{1}{3}\"}], \"source_bbox\": [50.11, 408.29, 111.07, 436.12], \"source_page\": 1}, {\"type\": \"option\", \"label\": \"C\", \"blocks\": [{\"type\": \"math_inline\", \"latex\": \"3\\\\sqrt{5}\"}, {\"text\": \"与\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{15}\"}], \"source_bbox\": [47.57, 438.09, 101.53, 450.92], \"source_page\": 1}, {\"type\": \"option\", \"label\": \"D\", \"blocks\": [{\"type\": \"math_inline\", \"latex\": \"\\\\frac{1}{3}\"}, {\"text\": \"√16与3√2\", \"type\": \"text\"}], \"source_bbox\": [50.11, 450.51, 112.4, 478.48], \"source_page\": 1}, {\"type\": \"answer\", \"blocks\": [{\"text\": \"B\", \"type\": \"text\"}]}, {\"type\": \"solution\", \"blocks\": [{\"text\": \"√6 ．√8 = 2√2,√\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{2}{3} =\"}, {\"text\": \"，因为化成最简二次根式以后被开方数不相同，所 A 3 以不是同类二次根式，故本选项不符合题意；B．\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{1}{2}\"}, {\"text\": \"√12 =\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{1}{2} \\\\times 2√3=\"}, {\"text\": \"√3 √3,√\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{1}{3} =\"}, {\"text\": \"，因为化成最简二次根式以后被开方数相同，所以是同 3 类二次根式，故本选项符合题意；C．因为3√5和√15的被开方数不 相同，所以不是同类二次根式，故本选项不符合题意；D．\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{1}{3}\"}, {\"text\": \"√16=\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{4}{3}\"}, {\"text\": \"，因为化成最简二次根式以后被开方数不相同，所以不是同类二 次根式，故本选项不符合题意．故选：B．\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [30.22, 350.82, 287.28, 478.48], \"file\": \"沪教版/八下/周琼玟Q_18978751881_95_检测.pdf\", \"regions\": [{\"bbox\": [30.22, 350.82, 287.28, 478.48], \"page\": 1}], \"section\": \"generic\", \"page_end\": 1, \"page_start\": 1, \"section_label\": \"\", \"answer_regions\": [{\"bbox\": [43.99800109863281, 312.46417236328125, 430.64886474609375, 488.3701171875], \"page\": 5}]}, \"version\": 1, \"grade_level\": \"JUNIOR\", \"number_label\": \"3\", \"subject_code\": \"math\", \"question_type\": \"single_choice\", \"content_sha256\": \"90969c3bb25b28ad58e40f5cafcefdc0fb66d3c219de52525cb8ed0587d07eeb\"}","body_html":"<div>下列各组二次根式中，是同类二次根式的是(      )<br>A. √8与\\(\\sqrt{\\frac{2}{3}}\\)<br>B. \\(\\frac{1}{2}\\)√12与\\(\\sqrt{\\frac{1}{3}}\\)<br>C. \\(3\\sqrt{5}\\)与\\(\\sqrt{15}\\)<br>D. \\(\\frac{1}{3}\\)√16与3√2</div>","answer_html":"B","ways_html":"√6 ．√8 = 2√2,\\(\\sqrt{\\frac{2}{3}}=\\)，因为化成最简二次根式以后被开方数不相同，所 A 3 以不是同类二次根式，故本选项不符合题意；B．\\(\\frac{1}{2}\\)√12 =\\(\\frac{1}{2} \\times 2√3=\\)√3 √3,\\(\\sqrt{\\frac{1}{3}}=\\)，因为化成最简二次根式以后被开方数相同，所以是同 3 类二次根式，故本选项符合题意；C．因为3√5和√15的被开方数不 相同，所以不是同类二次根式，故本选项不符合题意；D．\\(\\frac{1}{3}\\)√16=\\(\\frac{4}{3}\\)，因为化成最简二次根式以后被开方数不相同，所以不是同类二 次根式，故本选项不符合题意．故选：B．","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":null,"error_message":"处理异常: LLM call failed after retries: HTTPConnectionPool(host='127.0.0.1', port=8091): Read timed out. (read timeout=120) [endpoints: http://127.0.0.1:8092/v1 -> http://127.0.0.1:8091/v1]","published_question_id":null,"content_sha256":"90969c3bb25b28ad58e40f5cafcefdc0fb66d3c219de52525cb8ed0587d07eeb","created_at":"2026-11-10T14:47:45","updated_at":"2026-11-10T15:12:20","answer_missing":false,"formula_fallback":false,"_number":"3","_section":"generic","_section_label":""},"assets":[],"knowledge":[],"audits":[{"id":9479834,"import_question_id":182414,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"下列各组二次根式中，是同类二次根式的是( ) A. √8与√ \\frac{2}{3} B. \\frac{1}{2} √12与√ \\frac{1}{3} C. 3\\sqrt{5} 与 \\sqrt{15} D. \\frac{1}{3} √16与3√2","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-11-10T15:04:19"},{"id":9479835,"import_question_id":182414,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"\\frac{2}{3}; \\frac{1}{2}; \\frac{1}{3}; 3\\sqrt{5}; \\sqrt{15}","result_json":"{\"risky\": 12, \"issues\": [], \"checked\": 12, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-11-10T15:04:19"},{"id":9479836,"import_question_id":182414,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"下列各组二次根式中，是同类二次根式的是( ) A. √8与√ \\frac{2}{3} B. \\frac{1}{2} √12与√ \\frac{1}{3} C. 3\\sqrt{5} 与 \\sqrt{15} D. \\frac{1}{3} √16与3√2","result_json":"{\"picks\": [], \"tree_code\": \"KT_JUNIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-11-10T15:04:19"},{"id":9479855,"import_question_id":182414,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"下列各组二次根式中，是同类二次根式的是( ) A. √8与√ \\frac{2}{3} B. \\frac{1}{2} √12与√ \\frac{1}{3} C. 3\\sqrt{5} 与 \\sqrt{15} D. \\frac{1}{3} √16与3√2","result_json":"{\"basis\": \"同类二次根式是指化简后被开方数相同的二次根式。A项：√8=2√2，√(2/3)=√6/3，被开方数不同；B项：(1/2)√12=√3，√(1/3)=√3/3，被开方数均为3，是同类二次根式；C项：3√5与√15被开方数不同；D项：(1/3)√16=8/3，是整式，与3√2不是同类二次根式。\", \"answer\": \"B\", \"confidence\": 1.0, \"handout_chars\": 0}","created_at":"2026-11-10T15:05:48"},{"id":9479856,"import_question_id":182414,"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":"2026-11-10T15:05:48"},{"id":9479883,"import_question_id":182414,"audit_type":"VISION","auditor_name":"vision-auditor","status":"WARN","score":0.2,"input_snapshot":"题干：\n下列各组二次根式中，是同类二次根式的是( ) A. √8与√\\(\\frac{2}{3}\\) B. \\(\\frac{1}{2}\\)√12与√\\(\\frac{1}{3}\\) C. \\(3\\sqrt{5}\\)与\\(\\sqrt{15}\\) D. \\(\\frac{1}{3}\\)√16与3√2\n答案：\nB\n解析：\n√6 ．√8 = 2√2,√\\(\\frac{2}{3} =\\)，因为化成最简二次根式以后被开方数不相同，所 A 3 以不是同类二次根式，故本选项不符合题意；B．\\(\\frac{1}{2}\\)√12 =\\(\\frac{1}{2} \\times 2√3=\\)√3 √3,√\\(\\frac{1}{3} =\\)，因为化成最简二次根式以后被开方数相同，所以是同 3 类二次根式，故本选项符合题意；C．因为3√5和√15的被开方数不 相同，所以不是同类二次根式，故本选项不符合题意；D．\\(\\frac{1}{3}\\)√16=\\(\\frac{4}{3}\\)，因为化成最简二次根式以后被开方数不相同，所以不是同类二 次根式，故本选项不符合题意．故选：B．","result_json":"{\"note\": \"视觉比对不可用\", \"error\": \"RuntimeError\", \"unavailable\": true}","created_at":"2026-11-10T15:08:20"},{"id":9479884,"import_question_id":182414,"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":"2026-11-10T15:08:20"}]}