{"ok":true,"question":{"id":21114,"question_uuid":"76e9243f-79fa-439b-8955-99dc517647a4","job_id":3,"source_file":"人教版/七下/2026江苏七年级期末数学试卷+答案395.pdf","source_page_start":2,"source_page_end":2,"source_bbox":"[30.22, 386.54, 174.52, 439.69]","subject_code":"math","grade_level":"SENIOR","tree_code":"KT_SENIOR_MATH_STANDARD","question_type":"comprehensive","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"计算下列各数的立方根：\", \"type\": \"text\"}, {\"type\": \"subquestion\", \"index\": 1, \"blocks\": [{\"text\": \"125；\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{(2)}{(3)}\"}, {\"text\": \"−0.064； −6．\", \"type\": \"text\"}]}, {\"type\": \"answer\", \"blocks\": [{\"text\": \"（1）5；（2） −0.4；（3） − ^{3}√6．\", \"type\": \"text\"}]}, {\"type\": \"solution\", \"blocks\": [{\"text\": \"∵\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"5^{3}\"}, {\"text\": \"= 125，∴ ^{3}√125 = 5，即125的立方根是5；\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{(1)}{(2)}\"}, {\"text\": \"∵(−0.4)^{3}= 0.064，∴ ^{3}√−0.064 = −0.4，即−0.064的立方根是−0.4； (3)∵(−^{3}√6)^{3}= −6，∴ ^{3}√−6 = −^{3}√6, 即−6的立方根是− ^{3}√6．\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [30.22, 386.54, 174.52, 439.69], \"file\": \"人教版/七下/2026江苏七年级期末数学试卷+答案395.pdf\", \"regions\": [{\"bbox\": [30.22, 386.54, 174.52, 439.69], \"page\": 2}], \"section\": \"generic\", \"page_end\": 2, \"page_start\": 2, \"section_label\": \"\", \"answer_regions\": [{\"bbox\": [43.99800109863281, 648.8742065429688, 423.11285400390625, 709.6796264648438], \"page\": 5}]}, \"version\": 1, \"grade_level\": \"SENIOR\", \"number_label\": \"10\", \"subject_code\": \"math\", \"question_type\": \"comprehensive\", \"content_sha256\": \"90c7423d702825f6631ba94e6ecc45007495539d9f2c8d0e143256ae485c559c\"}","body_html":"<div>计算下列各数的立方根：<br>（1）125；\\(\\frac{(2)}{(3)}\\)−0.064； −6．</div>","answer_html":"（1）5；（2） −0.4；（3） − ^{3}√6．","ways_html":"∵\\(5^{3}\\)= 125，∴ ^{3}√125 = 5，即125的立方根是5；\\(\\frac{(1)}{(2)}\\)∵(−0.4)^{3}= 0.064，∴ ^{3}√−0.064 = −0.4，即−0.064的立方根是−0.4； (3)∵(−^{3}√6)^{3}= −6，∴ ^{3}√−6 = −^{3}√6, 即−6的立方根是− ^{3}√6．","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":"90c7423d702825f6631ba94e6ecc45007495539d9f2c8d0e143256ae485c559c","created_at":"2026-09-24T22:47:54","updated_at":"2026-09-24T23:09:38","answer_missing":false,"formula_fallback":false,"_number":"10","_section":"generic","_section_label":""},"assets":[],"knowledge":[],"audits":[{"id":415665,"import_question_id":21114,"audit_type":"STRUCTURE","auditor_name":"structure-auditor","status":"PASS","score":0.95,"input_snapshot":"计算下列各数的立方根： (1) 125； \\frac{(2)}{(3)} −0.064； −6．","result_json":"{\"ok\": true, \"issues\": [], \"confidence\": 0.95}","created_at":"2026-09-24T23:04:36"},{"id":415666,"import_question_id":21114,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"\\frac{(2)}{(3)}; 5^{3}; \\frac{(1)}{(2)}","result_json":"{\"risky\": 3, \"issues\": [], \"checked\": 3, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-24T23:04:36"},{"id":415667,"import_question_id":21114,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"计算下列各数的立方根： (1) 125； \\frac{(2)}{(3)} −0.064； −6．","result_json":"{\"picks\": [], \"tree_code\": \"KT_SENIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-24T23:04:36"},{"id":415674,"import_question_id":21114,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.95,"input_snapshot":"题干：\n计算下列各数的立方根： （1）125；\\(\\frac{(2)}{(3)}\\)−0.064； −6．\n答案：\n（1）5；（2） −0.4；（3） − ^{3}√6．\n解析：\n∵\\(5^{3}\\)= 125，∴ ^{3}√125 = 5，即125的立方根是5；\\(\\frac{(1)}{(2)}\\)∵(−0.4)^{3}= 0.064，∴ ^{3}√−0.064 = −0.4，即−0.064的立方根是−0.4； (3)∵(−^{3}√6)^{3}= −6，∴ ^{3}√−6 = −^{3}√6, 即−6的立方根是− ^{3}√6．","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.95, \"suggestions\": [\"解析中第（3）问的推导过程可以更清晰地说明：因为 (−³√6)³ = −6，所以 −6 的立方根就是 −³√6。\"]}","created_at":"2026-09-24T23:05:14"},{"id":415682,"import_question_id":21114,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"计算下列各数的立方根： (1) 125； \\frac{(2)}{(3)} −0.064； −6．","result_json":"{\"basis\": \"立方根定义：若 x³ = a，则 x = ∛a。\\n(1) 5³ = 125，故 ∛125 = 5。\\n(2) (-0.4)³ = -0.064，故 ∛(-0.064) = -0.4。\\n(3) 无有理数立方等于 -6，故 ∛(-6) = -∛6（保留根式）。\", \"answer\": \"(1) 5; (2) -0.4; (3) -∛6\", \"confidence\": 1.0, \"handout_chars\": 0}","created_at":"2026-09-24T23:05:37"},{"id":415683,"import_question_id":21114,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案:（1）5；（2） −0.4；（3） − ^{3}√6． || 盲解:(1) 5; (2) -0.4; (3) -∛6","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-09-24T23:05:37"},{"id":415684,"import_question_id":21114,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.55,"input_snapshot":"答案:（1）5；（2） −0.4；（3） − ^{3}√6． || 盲解:(1) 5; (2) -0.4; (3) -∛6","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"盲解与来源答案存在字面差异，需 Critic 复核\"}, \"status\": \"WARN\", \"applicable\": true}","created_at":"2026-09-24T23:05:37"}]}