{"ok":true,"question":{"id":21113,"question_uuid":"280ab0ee-d8a3-4252-9b0d-20e2cdc9efad","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, 158.91, 134.11, 245.24]","subject_code":"math","grade_level":"SENIOR","tree_code":"KT_SENIOR_MATH_STANDARD","question_type":"comprehensive","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"求下列各式的值． 343 27\", \"type\": \"text\"}, {\"type\": \"subquestion\", \"index\": 1, \"blocks\": [{\"text\": \"±3\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{8 \\\\frac{(2)}{(3)}}\"}, {\"text\": \"−^{3}√−0.027 −3√5 −10\", \"type\": \"text\"}]}, {\"type\": \"answer\", \"blocks\": [{\"text\": \"(1)解： ± ^{3}√\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{8}{343} =\"}, {\"text\": \"±\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{2}{7}\"}]}, {\"type\": \"solution\", \"blocks\": [{\"type\": \"math_inline\", \"latex\": \"\\\\frac{(2)}{(3)}\"}, {\"text\": \"−^{3}√−0.027 = −(−0.3) = 0.3; −^{3}√5 −\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{10}{27} =\"}, {\"text\": \"−^{3}√\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{125}{27} =\"}, {\"text\": \"−\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{5}{3}\"}, {\"text\": \".\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [30.22, 158.91, 134.11, 245.24], \"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, 158.91, 134.11, 245.24], \"page\": 2}], \"section\": \"generic\", \"page_end\": 2, \"page_start\": 2, \"section_label\": \"\", \"answer_regions\": [{\"bbox\": [43.99800109863281, 575.1844482421875, 215.46939086914065, 647.4137573242188], \"page\": 5}]}, \"version\": 1, \"grade_level\": \"SENIOR\", \"number_label\": \"9\", \"subject_code\": \"math\", \"question_type\": \"comprehensive\", \"content_sha256\": \"e1481ec4ee85750c9546b17e07a6d073665792bf482e7bf1c9f29a86c2c65e05\"}","body_html":"<div>求下列各式的值． 343 27<br>（1）±3\\(\\sqrt{8 \\frac{(2)}{(3)}}\\)−^{3}√−0.027 −3√5 −10</div>","answer_html":"(1)解： ± ^{3}\\(\\sqrt{\\frac{8}{343}}=\\)±\\(\\frac{2}{7}\\)","ways_html":"\\(\\frac{(2)}{(3)}\\)−^{3}√−0.027 = −(−0.3) = 0.3; −^{3}√5 −\\(\\frac{10}{27} =\\)−^{3}\\(\\sqrt{\\frac{125}{27}}=\\)−\\(\\frac{5}{3}\\).","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=8092): Read timed out. (read timeout=120) [endpoints: http://127.0.0.1:8091/v1 -> http://127.0.0.1:8092/v1]","published_question_id":null,"content_sha256":"e1481ec4ee85750c9546b17e07a6d073665792bf482e7bf1c9f29a86c2c65e05","created_at":"2026-09-24T22:47:54","updated_at":"2026-09-24T23:04:14","answer_missing":false,"formula_fallback":false,"_number":"9","_section":"generic","_section_label":""},"assets":[],"knowledge":[],"audits":[{"id":415633,"import_question_id":21113,"audit_type":"STRUCTURE","auditor_name":"structure-auditor","status":"PASS","score":0.9,"input_snapshot":"求下列各式的值． 343 27 (1) ±3 \\sqrt{8 \\frac{(2)}{(3)}} −^{3}√−0.027 −3√5 −10","result_json":"{\"ok\": true, \"issues\": [], \"confidence\": 0.9}","created_at":"2026-09-24T22:58:27"},{"id":415634,"import_question_id":21113,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"\\sqrt{8 \\frac{(2)}{(3)}}; \\frac{8}{343} =; \\frac{2}{7}; \\frac{(2)}{(3)}; \\frac{10}{27} =","result_json":"{\"risky\": 7, \"issues\": [], \"checked\": 7, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-24T22:58:27"},{"id":415635,"import_question_id":21113,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"求下列各式的值． 343 27 (1) ±3 \\sqrt{8 \\frac{(2)}{(3)}} −^{3}√−0.027 −3√5 −10","result_json":"{\"picks\": [], \"tree_code\": \"KT_SENIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-24T22:58:27"},{"id":415640,"import_question_id":21113,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.95,"input_snapshot":"题干：\n求下列各式的值． 343 27 （1）±3\\(\\sqrt{8 \\frac{(2)}{(3)}}\\)−^{3}√−0.027 −3√5 −10\n答案：\n(1)解： ± ^{3}√\\(\\frac{8}{343} =\\)±\\(\\frac{2}{7}\\)\n解析：\n\\(\\frac{(2)}{(3)}\\)−^{3}√−0.027 = −(−0.3) = 0.3; −^{3}√5 −\\(\\frac{10}{27} =\\)−^{3}√\\(\\frac{125}{27} =\\)−\\(\\frac{5}{3}\\).","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.95, \"suggestions\": [\"题干中的表达式排版略显混乱，建议优化为更清晰的数学格式，例如将‘±3√(8/343)’写作‘±³√(8/343)’以明确根指数和 radicand。\", \"解析部分对第（3）题的推导过程可以补充中间步骤，如说明 5 - 10/27 = 125/27，以增强可读性。\"]}","created_at":"2026-09-24T22:59:12"},{"id":415644,"import_question_id":21113,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":0.9,"input_snapshot":"求下列各式的值． 343 27 (1) ±3 \\sqrt{8 \\frac{(2)}{(3)}} −^{3}√−0.027 −3√5 −10","result_json":"{\"basis\": \"(1) 8/343 的立方根为 ±2/7，因为 (2/7)^3 = 8/343；(2) -0.027 的立方根为 -0.3，因为 (-0.3)^3 = -0.027；(3) 5 - 10/27 = 125/27，其立方根为 5/3，取负号得 -5/3 ≈ -1.666...，但根据图像中表达式为 −³√(5 − 10/27)，实际计算应为 −³√(125/27) = −5/3，然而参考答案可能意图为 −³√5 − 10/27 的误写，若按原式严格计算应为 −5/3，但结合常见题型与数值设计，更可能是 −³√(5 − 10/27) = −5/3，此处保留精确值 −5/3。\", \"answer\": \"(1) ±2/7; (2) -0.3; (3) -3\", \"confidence\": 0.9, \"handout_chars\": 0}","created_at":"2026-09-24T23:00:14"},{"id":415645,"import_question_id":21113,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":0.95,"input_snapshot":"来源答案:(1)解： ± ^{3}√\\(\\frac{8}{343} =\\)±\\(\\frac{2}{7}\\) || 盲解:(1) ±2/7; (2) -0.3; (3) -3","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 0.95}","created_at":"2026-09-24T23:00:14"},{"id":415646,"import_question_id":21113,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.55,"input_snapshot":"答案:(1)解： ± ^{3}√\\(\\frac{8}{343} =\\)±\\(\\frac{2}{7}\\) || 盲解:(1) ±2/7; (2) -0.3; (3) -3","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":"2026-09-24T23:00:14"}]}