{"ok":true,"question":{"id":21658,"question_uuid":"d9e056fb-321b-46fe-9593-52b316204f2a","job_id":3,"source_file":"人教版/七下/2026江苏七年级期末数学试卷+答案455.pdf","source_page_start":2,"source_page_end":2,"source_bbox":"[30.22, 141.81, 268.21, 155.92]","subject_code":"math","grade_level":"SENIOR","tree_code":"KT_SENIOR_MATH_STANDARD","question_type":"fill_blank","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"已知|x+ 3| = √3,则实数x的值为 ________.\", \"type\": \"text\"}, {\"type\": \"answer\", \"blocks\": [{\"text\": \"x = −3 + √3或x = −3 −√3\", \"type\": \"text\"}]}, {\"type\": \"solution\", \"blocks\": [{\"text\": \"因为\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"|x+ 3| = \\\\sqrt{3}\"}, {\"text\": \"，\\\\therefore x+ 3 =\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\pm\\\\sqrt{3}$\"}, {\"text\": \"，解得\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"x= -3 + \\\\sqrt{3}\"}, {\"text\": \"或\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"x= -3 -\\\\sqrt{3}\"}, {\"text\": \"，所以\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"x\"}, {\"text\": \"的值为\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"x = -3 + \\\\sqrt{3}\"}, {\"text\": \"或\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"x = -3 -\\\\sqrt{3}\"}, {\"text\": \".\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [30.22, 141.81, 268.21, 155.92], \"file\": \"人教版/七下/2026江苏七年级期末数学试卷+答案455.pdf\", \"regions\": [{\"bbox\": [30.22, 141.81, 268.21, 155.92], \"page\": 2}], \"section\": \"generic\", \"page_end\": 2, \"page_start\": 2, \"section_label\": \"\", \"answer_regions\": [{\"bbox\": [43.99800109863281, 720.0660400390625, 412.40484619140625, 762.7587280273438], \"page\": 4}], \"answer_original\": \"x = −3 + √3或x = −3 −√3\", \"solution_original\": \"因为|x+ 3| = √3,∴ x+ 3 = ±√3,解得x= −3 + √3或x= −3 −√3,所以 x的值为x = −3 + √3或x = −3 −√3.\"}, \"version\": 1, \"grade_level\": \"SENIOR\", \"number_label\": \"10\", \"subject_code\": \"math\", \"question_type\": \"fill_blank\", \"content_sha256\": \"823d352358b10fa858a40230db58670f54529ab52179bbc98645df336962555b\"}","body_html":"<div>已知|x+ 3| = √3,则实数x的值为 ________.</div>","answer_html":"x = −3 + √3或x = −3 −√3","ways_html":"因为\\(|x+ 3| = \\sqrt{3}\\)，\\therefore x+ 3 =\\(\\pm\\sqrt{3}$\\)，解得\\(x= -3 + \\sqrt{3}\\)或\\(x= -3 -\\sqrt{3}\\)，所以\\(x\\)的值为\\(x = -3 + \\sqrt{3}\\)或\\(x = -3 -\\sqrt{3}\\).","explain_html":null,"difficulty":1,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":0.975,"error_message":"发布失败: 正式发布门禁：解析公式片段结构非法(DOLLAR)：\\pm\\sqrt{3}$","published_question_id":null,"content_sha256":"823d352358b10fa858a40230db58670f54529ab52179bbc98645df336962555b","created_at":"2026-09-25T02:52:33","updated_at":"2026-09-25T02:59:45","answer_missing":false,"formula_fallback":false,"_number":"10","_section":"generic","_section_label":""},"assets":[],"knowledge":[],"audits":[{"id":427957,"import_question_id":21658,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"已知|x+ 3| = √3,则实数x的值为 ________.","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-09-25T02:58:46"},{"id":427958,"import_question_id":21658,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"|x+ 3| = \\sqrt{3}; \\pm\\sqrt{3}$; x= -3 + \\sqrt{3}; x= -3 -\\sqrt{3}; x","result_json":"{\"risky\": 6, \"issues\": [], \"checked\": 7, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-25T02:58:46"},{"id":427959,"import_question_id":21658,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"已知|x+ 3| = √3,则实数x的值为 ________.","result_json":"{\"picks\": [], \"tree_code\": \"KT_SENIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-25T02:58:46"},{"id":427969,"import_question_id":21658,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":1.0,"input_snapshot":"题干：\n已知|x+ 3| = √3,则实数x的值为 ________.\n答案：\nx = −3 + √3或x = −3 −√3\n解析：\n因为\\(|x+ 3| = \\sqrt{3}\\)，\\therefore x+ 3 =\\(\\pm\\sqrt{3}$\\)，解得\\(x= -3 + \\sqrt{3}\\)或\\(x= -3 -\\sqrt{3}\\)，所以\\(x\\)的值为\\(x = -3 + \\sqrt{3}\\)或\\(x = -3 -\\sqrt{3}\\).","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 1.0, \"suggestions\": [\"解析部分可以更简洁，避免重复表述答案\"]}","created_at":"2026-09-25T02:59:22"},{"id":427970,"import_question_id":21658,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"已知|x+ 3| = √3,则实数x的值为 ________.","result_json":"{\"basis\": \"由绝对值定义，|a| = b (b≥0) 等价于 a = b 或 a = -b。此处 a = x+3, b = √3，故 x+3 = √3 或 x+3 = -√3，解得 x = -3 + √3 或 x = -3 - √3。\", \"answer\": \"x = -3 + √3 或 x = -3 - √3\", \"confidence\": 1.0, \"handout_chars\": 0}","created_at":"2026-09-25T02:59:25"},{"id":427971,"import_question_id":21658,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案:x = −3 + √3或x = −3 −√3 || 盲解:x = -3 + √3 或 x = -3 - √3","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-09-25T02:59:25"},{"id":427972,"import_question_id":21658,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.55,"input_snapshot":"答案:x = −3 + √3或x = −3 −√3 || 盲解:x = -3 + √3 或 x = -3 - √3","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"盲解与来源答案存在字面差异，需 Critic 复核\"}, \"status\": \"WARN\", \"applicable\": true}","created_at":"2026-09-25T02:59:25"},{"id":427975,"import_question_id":21658,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"PASS","score":1.0,"input_snapshot":"答案:x = −3 + √3或x = −3 −√3 || 解析:因为\\(|x+ 3| = \\sqrt{3}\\)，\\therefore x+ 3 =\\(\\pm\\sqrt{3}$\\)，解得\\(x= -3 + \\sqrt{3}\\)或\\(x= -3 -\\sqrt{3}\\)，所以\\(x\\)的值为\\(x = -3 + \\sqrt{3}\\)或\\(x = -3 -\\sqrt{3}\\).","result_json":"{\"ok\": true, \"which\": [], \"issues\": [], \"confidence\": 1.0, \"equation_checks\": []}","created_at":"2026-09-25T02:59:45"},{"id":427976,"import_question_id":21658,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"PASS","score":0.975,"input_snapshot":"","result_json":"{\"warnings\": [], \"graded_gate\": true, \"hard_failed\": []}","created_at":"2026-09-25T02:59:45"}]}