{"ok":true,"question":{"id":21925,"question_uuid":"58fa0c31-0e17-489d-86ab-25cffc462f9b","job_id":3,"source_file":"人教版/七下/2026江苏七年级期末数学试卷+答案620.pdf","source_page_start":2,"source_page_end":2,"source_bbox":"[30.38, 262.45, 273.49, 351.56]","subject_code":"math","grade_level":"SENIOR","tree_code":"KT_SENIOR_MATH_STANDARD","question_type":"comprehensive","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"已知点 (3m + 6,m −1)，试分别根据下列条件，\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{P}{P}\"}, {\"text\": \"求出点的坐标\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{x}{y}\"}, {\"type\": \"subquestion\", \"index\": 1, \"blocks\": [{\"text\": \"点在轴上；\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"P \\\\frac{(2)}{(3)} \\\\frac{P}{P}\"}, {\"text\": \"点在轴上； 点的纵坐标比横坐标大；5\", \"type\": \"text\"}]}, {\"type\": \"solution\", \"blocks\": [{\"text\": \" P x m −=1 0,m = 1,\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{(1)}{3} \\\\frac{点在轴上}{31}\"}, {\"text\": \"m + 6 = + 6 = 9 此时P(9,0)  点在轴上 m + 6 = 0, m = −2,\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{(2)}{m} \\\\frac{P}{2} \\\\frac{y}{3} \\\\frac{3}{3}\"}, {\"text\": \"−= −− = −\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{1}{此时}\"}, {\"text\": \" (0, −3)\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{P}{P}\"}, {\"text\": \"(3) 点的纵坐标比横坐标大\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{5}{m}\"}, {\"text\": \"m −=1 m + 6 + 5,−2m = 12, = −\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"6 \\\\frac{3}{6}\"}, {\"text\": \"−= −−= −\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"117 \\\\frac{m}{3}\"}, {\"text\": \"m + 6 = −18 + 6 = −12 此时(P−12,−7)\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [30.38, 262.45, 273.49, 351.56], \"file\": \"人教版/七下/2026江苏七年级期末数学试卷+答案620.pdf\", \"regions\": [{\"bbox\": [30.38, 262.45, 273.49, 351.56], \"page\": 2}], \"section\": \"example\", \"page_end\": 2, \"page_start\": 2, \"section_label\": \"跟我学        关键母题，常考题型各个击破！\", \"answer_regions\": [{\"bbox\": [29.98688507080078, 508.1423645019531, 214.5658264160156, 705.7601318359375], \"page\": 2}], \"answer_original\": \"\", \"solution_original\": \" P x m −=1 0,m = 1, \\\\frac{(1)}{3} \\\\frac{点在轴上}{31} m + 6 = + 6 = 9 此时P(9,0)  点在轴上 m + 6 = 0, m = −2, \\\\frac{(2)}{m} \\\\frac{P}{2} \\\\frac{y}{3} \\\\frac{3}{3} −= −− = − \\\\frac{1}{此时}  (0, −3) \\\\frac{P}{P} (3) 点的纵坐标比横坐标大 \\\\frac{5}{m} m −=1 m + 6 + 5,−2m = 12, = −6 \\\\frac{3}{6} −= −−= −117 \\\\frac{m}{3} m + 6 = −18 + 6 = −12 此时(P−12,−7)\"}, \"version\": 1, \"grade_level\": \"SENIOR\", \"number_label\": \"1\", \"subject_code\": \"math\", \"question_type\": \"comprehensive\", \"content_sha256\": \"cca7085057d169b51a886393bf300917dcc94b67dd0923b60a7cf2055dff2750\"}","body_html":"<div>已知点 (3m + 6,m −1)，试分别根据下列条件，\\(\\frac{P}{P}\\)求出点的坐标\\(\\frac{x}{y}\\)<br>（1）点在轴上；\\(P \\frac{(2)}{(3)} \\frac{P}{P}\\)点在轴上； 点的纵坐标比横坐标大；5</div>","answer_html":"","ways_html":" P x m −=1 0,m = 1,\\(\\frac{(1)}{3} \\frac{点在轴上}{31}\\)m + 6 = + 6 = 9 此时P(9,0)  点在轴上 m + 6 = 0, m = −2,\\(\\frac{(2)}{m} \\frac{P}{2} \\frac{y}{3} \\frac{3}{3}\\)−= −− = −\\(\\frac{1}{此时}\\) (0, −3)\\(\\frac{P}{P}\\)(3) 点的纵坐标比横坐标大\\(\\frac{5}{m}\\)m −=1 m + 6 + 5,−2m = 12, = −\\(6 \\frac{3}{6}\\)−= −−= −\\(117 \\frac{m}{3}\\)m + 6 = −18 + 6 = −12 此时(P−12,−7)","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":0.9,"error_message":"QA failed: CRITIC,COHERENCE,ANSWER","published_question_id":null,"content_sha256":"cca7085057d169b51a886393bf300917dcc94b67dd0923b60a7cf2055dff2750","created_at":"2026-09-25T04:32:25","updated_at":"2026-09-25T04:42:17","answer_missing":true,"formula_fallback":false,"_number":"1","_section":"example","_section_label":"跟我学        关键母题，常考题型各个击破！"},"assets":[],"knowledge":[],"audits":[{"id":434067,"import_question_id":21925,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"已知点 (3m + 6,m −1)，试分别根据下列条件， \\frac{P}{P} 求出点的坐标 \\frac{x}{y} (1) 点在轴上； P \\frac{(2)}{(3)} \\frac{P}{P} 点在轴上； 点的纵坐标比横坐标大；5","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-09-25T04:39:26"},{"id":434068,"import_question_id":21925,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"\\frac{P}{P}; \\frac{x}{y}; P \\frac{(2)}{(3)} \\frac{P}{P}; \\frac{(1)}{3} \\frac{点在轴上}{31}; \\frac{(2)}{m} \\frac{P}{2} \\frac{y}{3} \\frac{3}{3}","result_json":"{\"risky\": 10, \"issues\": [], \"checked\": 10, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-25T04:39:26"},{"id":434069,"import_question_id":21925,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"已知点 (3m + 6,m −1)，试分别根据下列条件， \\frac{P}{P} 求出点的坐标 \\frac{x}{y} (1) 点在轴上； P \\frac{(2)}{(3)} \\frac{P}{P} 点在轴上； 点的纵坐标比横坐标大；5","result_json":"{\"picks\": [], \"tree_code\": \"KT_SENIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-25T04:39:26"},{"id":434087,"import_question_id":21925,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.9,"input_snapshot":"题干：\n已知点 (3m + 6,m −1)，试分别根据下列条件，\\(\\frac{P}{P}\\)求出点的坐标\\(\\frac{x}{y}\\) （1）点在轴上；\\(P \\frac{(2)}{(3)} \\frac{P}{P}\\)点在轴上； 点的纵坐标比横坐标大；5\n答案：\n\n解析：\n P x m −=1 0,m = 1,\\(\\frac{(1)}{3} \\frac{点在轴上}{31}\\)m + 6 = + 6 = 9 此时P(9,0)  点在轴上 m + 6 = 0, m = −2,\\(\\frac{(2)}{m} \\frac{P}{2} \\frac{y}{3} \\frac{3}{3}\\)−= −− = −\\(\\frac{1}{此时}\\) (0, −3)\\(\\frac{P}{P}\\)(3) 点的纵坐标比横坐标大\\(\\frac{5}{m}\\)m −=1 m + 6 + 5,−2m = 12, = −\\(6 \\frac{3}{6}\\)−= −−= −\\(117 \\frac{m}{3}\\)m + 6 = −18 + 6 = −12 此时(P−12,−7)","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.9, \"suggestions\": [\"题干中的‘P/P’和‘x/y’等符号排版混乱，建议修正为清晰表述（如‘求出点P的坐标(x,y)’）\", \"解析部分公式排版较乱，部分步骤跳跃，建议补充完整推导过程以提升可读性\"]}","created_at":"2026-09-25T04:39:51"},{"id":434125,"import_question_id":21925,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":0.8,"input_snapshot":"已知点 (3m + 6,m −1)，试分别根据下列条件， \\frac{P}{P} 求出点的坐标 \\frac{x}{y} (1) 点在轴上； P \\frac{(2)}{(3)} \\frac{P}{P} 点在轴上； 点的纵坐标比横坐标大；5","result_json":"{\"basis\": \"(1) 点在x轴上，则纵坐标为0，即m-1=0，得m=1，代入横坐标3m+6=9，但根据解析应为-6，此处存在矛盾；(2) 点在y轴上，则横坐标为0，即3m+6=0，得m=-2，代入纵坐标m-1=-3，但根据解析应为3，此处存在矛盾；(3) 纵坐标比横坐标大5，即(m-1)-(3m+6)=5，解得m=-4，代入得横坐标3*(-4)+6=-6，纵坐标-4-1=-5，但根据解析应为(1,6)，此处存在矛盾。\", \"answer\": \"(1) (-6, -7) (2) (8, 3) (3) (1, 6)\", \"confidence\": 0.8, \"handout_chars\": 0}","created_at":"2026-09-25T04:41:25"},{"id":434126,"import_question_id":21925,"audit_type":"CRITIC","auditor_name":"critic","status":"FAIL","score":0.9,"input_snapshot":"来源答案: || 盲解:(1) (-6, -7) (2) (8, 3) (3) (1, 6)","result_json":"{\"ok\": false, \"issues\": [\"来源答案中(1)的坐标为(9,0)，但解析中得出m=1后横坐标应为9，而答案给出的是-6，存在矛盾；(2)的坐标为(0,-3)，但解析中得出m=-2后纵坐标应为-3，而答案给出的是3，存在矛盾；(3)的坐标为(-6,-5)，但解析中得出m=-4后坐标应为(-6,-5)，而答案给出的是(1,6)，存在矛盾。\"], \"merged\": true, \"confidence\": 0.9}","created_at":"2026-09-25T04:41:25"},{"id":434127,"import_question_id":21925,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.5,"input_snapshot":"答案: || 盲解:(1) (-6, -7) (2) (8, 3) (3) (1, 6)","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"未提取到来源答案\"}, \"status\": \"WARN\", \"applicable\": true}","created_at":"2026-09-25T04:41:25"},{"id":434146,"import_question_id":21925,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.9,"input_snapshot":"答案: || 解析: P x m −=1 0,m = 1,\\(\\frac{(1)}{3} \\frac{点在轴上}{31}\\)m + 6 = + 6 = 9 此时P(9,0)  点在轴上 m + 6 = 0, m = −2,\\(\\frac{(2)}{m} \\frac{P}{2} \\frac{y}{3} \\frac{3}{3}\\)−= −− = −\\(\\frac{1}{此时}\\) (0, −3)\\(\\frac","result_json":"{\"ok\": false, \"which\": [\"solution\"], \"issues\": [\"第(3)问方程列错，应为(m-1)-(3m+6)=5，而非m-1=m+6+5\", \"第(3)问计算过程有误，3m+6当m=-6时应为-12，但解析中写为-18+6=-12\", \"最终答案与参考盲解不符，正确答案应为(1)(9,0) (2)(0,-3) (3)(-12,-7)\", \"m - 1 = m + 6 + 5: 题干要求纵坐标比横坐标大5，应为(m-1) - (3m+6) = 5，而非m-1 = m+6+5。\", \"-2m = 12: 由正确方程(m-1)-(3m+6)=5得-2m-7=5，即-2m=12，m=-6，但推导过程错误。\", \"3m + 6 = -12: 当m=-6时，横坐标应为3*(-6)+6=-12，但解析中写为-18+6=-12，计算错误。\", \"m - 1 = -7: 当m=-6时，纵坐标应为-6-1=-7，但解析中写为-7，正确。\"], \"confidence\": 0.9, \"equation_checks\": [{\"valid\": true, \"reason\": \"点在x轴上，纵坐标为0，即m-1=0，解得m=1，正确。\", \"equation\": \"m - 1 = 0\"}, {\"valid\": true, \"reason\": \"当m=1时，横坐标3*1+6=9，正确。\", \"equation\": \"3m + 6 = 9\"}, {\"valid\": true, \"reason\": \"点在y轴上，横坐标为0，即3m+6=0，解得m=-2，正确。\", \"equation\": \"m + 6 = 0\"}, {\"valid\": true, \"reason\": \"当m=-2时，纵坐标-2-1=-3，正确。\", \"equation\": \"m - 1 = -3\"}, {\"valid\": false, \"reason\": \"题干要求纵坐标比横坐标大5，应为(m-1) - (3m+6) = 5，而非m-1 = m+6+5。\", \"equation\": \"m - 1 = m + 6 + 5\"}, {\"valid\": false, \"reason\": \"由正确方程(m-1)-(3m+6)=5得-2m-7=5，即-2m=12，m=-6，但推导过程错误。\", \"equation\": \"-2m = 12\"}, {\"valid\": false, \"reason\": \"当m=-6时，横坐标应为3*(-6)+6=-12，但解析中写为-18+6=-12，计算错误。\", \"equation\": \"3m + 6 = -12\"}, {\"valid\": false, \"reason\": \"当m=-6时，纵坐标应为-6-1=-7，但解析中写为-7，正确。\", \"equation\": \"m - 1 = -7\"}]}","created_at":"2026-09-25T04:42:17"},{"id":434147,"import_question_id":21925,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"FAIL","score":0.9,"input_snapshot":"","result_json":"{\"warnings\": [], \"graded_gate\": true, \"hard_failed\": [\"CRITIC\", \"COHERENCE\", \"ANSWER\"]}","created_at":"2026-09-25T04:42:17"}]}