{"ok":true,"question":{"id":21686,"question_uuid":"6932d3cb-4aba-4ac7-8f46-53187d7d6ace","job_id":3,"source_file":"人教版/七下/2026江苏七年级期末数学试卷+答案5.pdf","source_page_start":3,"source_page_end":3,"source_bbox":"[298.9, 214.66, 530.41, 247.32]","subject_code":"math","grade_level":"JUNIOR","tree_code":"KT_JUNIOR_MATH_STANDARD","question_type":"fill_blank","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"两条直线相交所成的四个角中有两个角分别, 是(4x + 30)和(120 − x),则的值为x ____.\", \"type\": \"text\"}, {\"type\": \"solution\", \"blocks\": [{\"text\": \"当这两个角是对顶角时根据对顶角相等得,, : 4x + 30 =120 − x移项合并同类项得 :5x = 90解 得 : x =18;当这两个角是邻补角时根据邻补角, 的和为180,得 :(4x + + (120 − x) =180解\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{30)}{18}\"}, {\"text\": \"得 : x =10;因此的值为x 或 10.\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [298.9, 214.66, 530.41, 247.32], \"file\": \"人教版/七下/2026江苏七年级期末数学试卷+答案5.pdf\", \"regions\": [{\"bbox\": [298.9, 214.66, 530.41, 247.32], \"page\": 3}], \"section\": \"example\", \"page_end\": 3, \"page_start\": 3, \"section_label\": \"跟我学        关键母题，常考题型各个击破！\", \"answer_regions\": [{\"bbox\": [298.17205810546875, 479.5371398925781, 534.1778564453125, 568.1748657226562], \"page\": 3}], \"answer_original\": \"\", \"solution_original\": \"当这两个角是对顶角时根据对顶角相等得,, : 4x + 30 =120 − x移项合并同类项得 :5x = 90解 得 : x =18;当这两个角是邻补角时根据邻补角, 的和为180,得 :(4x + + (120 − x) =180解 \\\\frac{30)}{18} 得 : x =10;因此的值为x 或 10.\"}, \"version\": 1, \"grade_level\": \"JUNIOR\", \"number_label\": \"2\", \"subject_code\": \"math\", \"question_type\": \"fill_blank\", \"content_sha256\": \"ab54870bd5a8c6d3f0f63f52e10b25478e8c1fd51ae89cc1c47bbd1bd7b615bb\"}","body_html":"<div>两条直线相交所成的四个角中有两个角分别, 是(4x + 30)和(120 − x),则的值为x ____.</div>","answer_html":"","ways_html":"当这两个角是对顶角时根据对顶角相等得,, : 4x + 30 =120 − x移项合并同类项得 :5x = 90解 得 : x =18;当这两个角是邻补角时根据邻补角, 的和为180,得 :(4x + + (120 − x) =180解<span class=\"formula-fallback\">frac30)18</span>得 : x =10;因此的值为x 或 10.","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":0.925,"error_message":"QA failed: FORMULA,ANSWER","published_question_id":null,"content_sha256":"ab54870bd5a8c6d3f0f63f52e10b25478e8c1fd51ae89cc1c47bbd1bd7b615bb","created_at":"2026-09-25T03:06:50","updated_at":"2026-09-25T03:18:20","answer_missing":true,"formula_fallback":true,"_number":"2","_section":"example","_section_label":"跟我学        关键母题，常考题型各个击破！"},"assets":[],"knowledge":[],"audits":[{"id":428792,"import_question_id":21686,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"两条直线相交所成的四个角中有两个角分别, 是(4x + 30)和(120 − x),则的值为x ____.","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-09-25T03:16:23"},{"id":428793,"import_question_id":21686,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"FAIL","score":1.0,"input_snapshot":"\\frac{30)}{18}","result_json":"{\"risky\": 1, \"issues\": [\"非法 LaTeX #1: unbalanced delimiters\"], \"checked\": 1, \"invalid\": 1, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [{\"index\": 0, \"latex\": \"\\\\frac{30)}{18}\", \"issues\": [\"unbalanced delimiters\"]}], \"visually_verified\": 0}","created_at":"2026-09-25T03:16:23"},{"id":428794,"import_question_id":21686,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"两条直线相交所成的四个角中有两个角分别, 是(4x + 30)和(120 − x),则的值为x ____.","result_json":"{\"picks\": [], \"tree_code\": \"KT_JUNIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-25T03:16:23"},{"id":428806,"import_question_id":21686,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.9,"input_snapshot":"题干：\n两条直线相交所成的四个角中有两个角分别, 是(4x + 30)和(120 − x),则的值为x ____.\n答案：\n\n解析：\n当这两个角是对顶角时根据对顶角相等得,, : 4x + 30 =120 − x移项合并同类项得 :5x = 90解 得 : x =18;当这两个角是邻补角时根据邻补角, 的和为180,得 :(4x + + (120 − x) =180解 frac30)18 得 : x =10;因此的值为x 或 10.","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.9, \"suggestions\": [\"题干中‘分别,’后疑似有文字缺失，但结合上下文和答案可推断不影响理解\"]}","created_at":"2026-09-25T03:16:51"},{"id":428820,"import_question_id":21686,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":0.9,"input_snapshot":"两条直线相交所成的四个角中有两个角分别, 是(4x + 30)和(120 − x),则的值为x ____.","result_json":"{\"basis\": \"两条直线相交所成的四个角中，对顶角相等，邻补角互补。若两个角分别为 (4x + 30)° 和 (120 - x)°，则它们要么相等（对顶角），要么互补（邻补角）。\\n\\n情况1：4x + 30 = 120 - x → 5x = 90 → x = 18\\n此时两角均为 4×18+30=102°，另一对对顶角为 78°，符合几何关系。\\n\\n情况2：(4x + 30) + (120 - x) = 180 → 3x + 150 = 180 → x = 10\\n此时两角分别为 70° 和 110°，互补，也符合邻补角关系。\\n\\n但题目说“有两个角分别是...”，并未指定是对顶角还是邻补角，因此两个解都数学上成立。然而，在标准考试题中，通常隐含这两个角是**对顶角**（因为如果是一般邻补角，则任意相邻两角都互补，条件太弱），且常见题型设计会导向唯一解。进一步观察：若x=10，则两角为70°和110°，虽互补，但并非“分别”强调的两个特定角；而若x=18，则两角相等，更符合“两个角分别是A和B”的表述（暗示A和B是同一类角，如对顶角）。\\n\\n综上，最合理的答案是 x = 18。\", \"answer\": \"x = 15\", \"confidence\": 0.9, \"handout_chars\": 0}","created_at":"2026-09-25T03:17:20"},{"id":428821,"import_question_id":21686,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案: || 盲解:x = 15","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-09-25T03:17:20"},{"id":428822,"import_question_id":21686,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.5,"input_snapshot":"答案: || 盲解:x = 15","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"未提取到来源答案\"}, \"status\": \"WARN\", \"applicable\": true}","created_at":"2026-09-25T03:17:20"},{"id":428827,"import_question_id":21686,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"PASS","score":0.9,"input_snapshot":"答案: || 解析:当这两个角是对顶角时根据对顶角相等得,, : 4x + 30 =120 − x移项合并同类项得 :5x = 90解 得 : x =18;当这两个角是邻补角时根据邻补角, 的和为180,得 :(4x + + (120 − x) =180解 frac30)18 得 : x =10;因此的值为x 或 10.","result_json":"{\"ok\": true, \"which\": [], \"issues\": [], \"confidence\": 0.9, \"equation_checks\": [{\"valid\": true, \"reason\": \"对顶角相等，方程正确，解得 x=18\", \"equation\": \"4x + 30 = 120 - x\"}, {\"valid\": true, \"reason\": \"邻补角和为180°，方程正确，解得 x=10\", \"equation\": \"(4x + 30) + (120 - x) = 180\"}]}","created_at":"2026-09-25T03:18:20"},{"id":428828,"import_question_id":21686,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"FAIL","score":0.925,"input_snapshot":"","result_json":"{\"warnings\": [], \"graded_gate\": true, \"hard_failed\": [\"FORMULA\", \"ANSWER\"]}","created_at":"2026-09-25T03:18:20"}]}