{"ok":true,"question":{"id":22260,"question_uuid":"e9c46278-610e-42a8-8fff-0ecfbac9fd86","job_id":3,"source_file":"人教版/七下/2026江苏七年级期末数学试卷+答案665.pdf","source_page_start":2,"source_page_end":3,"source_bbox":"[31.31, 700.07, 511.93, 467.35]","subject_code":"math","grade_level":"JUNIOR","tree_code":"KT_JUNIOR_MATH_STANDARD","question_type":"fill_blank","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"如图，小刚在小明的北偏东\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"60^{\\\\circ}\"}, {\"text\": \"方向，\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"500\\\\mathrm{m}\"}, {\"text\": \"的位置，则小明在小刚的____方向，____\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\mathrm{m}\"}, {\"text\": \"处．五子棋的比赛规则是率先在棋盘上形成横、纵或斜线的连续五颗同色棋子记为胜方．如图所示的一盘棋中，①的位置是$(1,-1)$，②的位置是$(2,0)$，现轮到黑棋走，小红认为黑棋放在$(2,4)$的位置胜利；小刚认为黑棋放在$(7,-1)$的位置胜利下列说法正确的是( ) A．小红，小刚均正确 B．小红，小刚均错误 C．小红正确，小刚错误 D．小红错误，小刚正确\", \"type\": \"text\"}, {\"kind\": \"embedded_image\", \"type\": 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class=\"question-figure\" src=\"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/e9c46278-610e-42a8-8fff-0ecfbac9fd86/d07553a21274.png\" style=\"width:190.5px!important;max-width:100%;height:auto\" alt=\"\" title=\"点击查看原图\"><img class=\"question-figure\" src=\"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/e9c46278-610e-42a8-8fff-0ecfbac9fd86/2425bb65aa68.png\" style=\"width:156.4px!important;max-width:100%;height:auto\" alt=\"\" title=\"点击查看原图\"><img class=\"question-figure\" src=\"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/e9c46278-610e-42a8-8fff-0ecfbac9fd86/6f7bb5f11166.png\" style=\"width:159.0px!important;max-width:100%;height:auto\" alt=\"\" title=\"点击查看原图\"><table>\n <thead>\n <tr>\n <th>【典例 1】\n如图，小刚在小明的北偏东60o方向，\n500m的位置，则小明在小刚的 方向，\n____\nm处．\n____</th>\n <th>【典例 2】</th>\n </tr>\n </thead>\n <tbody>\n 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的位置，则小明在小刚的____方向，____ \\mathrm{m} 处．五子棋的比赛规则是率先在棋盘上形成横、纵或斜线的连续五颗同色棋子记为胜方．如图所示的一盘棋中，①的位置是$(1,-1)$，②的位置是$(2,0)$，现轮到黑棋走，小红认为黑棋放在$(2,4)$的位置胜利；小刚认为黑棋放在$(7,-1)$的位置胜利下列说法正确的是( ) A．小红，小刚均正确 B．小红，小刚均错误 C．小红正确，小刚错误 D．小红错误，小刚正确 [图] [图] [图] 【典例 1】 如图，小刚在小明的北偏东60o方向， 500m的位置，则小明在小刚的 方向， ____ m处． ____ 【典例 2】","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-09-25T06:34:11"},{"id":440857,"import_question_id":22260,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"60^{\\circ}; 500\\mathrm{m}; \\mathrm{m}; \\text{讲解}; 60^{\\circ}","result_json":"{\"risky\": 6, \"issues\": [], \"checked\": 8, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 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\"题干中‘①的位置是(1,-1)，②的位置是(2,0)’在解析中未作任何使用，属于冗余信息，若不影响解题可保留，但建议标注其用途或说明为何未采用。\"]}","created_at":"2026-09-25T06:36:05"},{"id":440863,"import_question_id":22260,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":0.95,"input_snapshot":"如图，小刚在小明的北偏东 60^{\\circ} 方向， 500\\mathrm{m} 的位置，则小明在小刚的____方向，____ \\mathrm{m} 处．五子棋的比赛规则是率先在棋盘上形成横、纵或斜线的连续五颗同色棋子记为胜方．如图所示的一盘棋中，①的位置是$(1,-1)$，②的位置是$(2,0)$，现轮到黑棋走，小红认为黑棋放在$(2,4)$的位置胜利；小刚认为黑棋放在$(7,-1)$的位置胜利下列说法正确的是( ) A．小红，小刚均正确 B．小红，小刚均错误 C．小红正确，小刚错误 D．小红错误，小刚正确 [图] [图] [图] 【典例 1】 如图，小刚在小明的北偏东60o方向， 500m的位置，则小明在小刚的 方向， ____ m处． ____ 【典例 2】","result_json":"{\"basis\": \"方向相对性：北偏东60°的反向是南偏西60°，距离不变。五子棋中，(7,-1)可补全竖列五子连珠，(2,4)不能形成五连。\", \"answer\": \"南偏西60°，500；D\", \"confidence\": 0.95, \"handout_chars\": 0}","created_at":"2026-09-25T06:36:43"},{"id":440864,"import_question_id":22260,"audit_type":"CRITIC","auditor_name":"critic","status":"FAIL","score":0.8,"input_snapshot":"来源答案: || 盲解:南偏西60°，500；D","result_json":"{\"ok\": false, \"issues\": [\"遗漏第一题答案\"], \"merged\": true, \"confidence\": 0.8}","created_at":"2026-09-25T06:36:43"},{"id":440865,"import_question_id":22260,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.5,"input_snapshot":"答案: || 盲解:南偏西60°，500；D","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"未提取到来源答案\"}, \"status\": \"WARN\", \"applicable\": true}","created_at":"2026-09-25T06:36:43"},{"id":440866,"import_question_id":22260,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.8,"input_snapshot":"答案: || 解析:[\\(\\text{讲解}\\)] 如图，小明在小刚南偏西\\(60^{\\circ}\\)方向，\\(500\\mathrm{m}\\)处。如图所示，建立平面直角坐标系，两个\\(\\mathrm{V}\\)分别表示点$(2,4)$和$(7,-1)$。故选\\(A\\)。","result_json":"{\"ok\": false, \"which\": [\"solution\"], \"issues\": [\"解析中未对两个位置判断进行详细推理，直接给出结论‘故选A’，缺乏必要的步骤说明；且参考盲解答案为D，与解析结论矛盾，说明解析可能存在错误。\"], \"confidence\": 0.8, \"equation_checks\": []}","created_at":"2026-09-25T06:36:50"},{"id":440867,"import_question_id":22260,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"FAIL","score":0.863,"input_snapshot":"","result_json":"{\"warnings\": [], \"graded_gate\": true, \"hard_failed\": [\"CRITIC\", \"COHERENCE\", \"ANSWER\"]}","created_at":"2026-09-25T06:36:50"},{"id":441226,"import_question_id":22260,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"如图，小刚在小明的北偏东 60^{\\circ} 方向， 500\\mathrm{m} 的位置，则小明在小刚的____方向，____ \\mathrm{m} 处．五子棋的比赛规则是率先在棋盘上形成横、纵或斜线的连续五颗同色棋子记为胜方．如图所示的一盘棋中，①的位置是$(1,-1)$，②的位置是$(2,0)$，现轮到黑棋走，小红认为黑棋放在$(2,4)$的位置胜利；小刚认为黑棋放在$(7,-1)$的位置胜利下列说法正确的是( ) A．小红，小刚均正确 B．小红，小刚均错误 C．小红正确，小刚错误 D．小红错误，小刚正确 [图] [图] [图] 【典例 1】 如图，小刚在小明的北偏东60o方向， 500m的位置，则小明在小刚的 方向， ____ m处． ____ 【典例 2】","result_json":"{\"basis\": \"方向相对性：北偏东60°的反向是南偏西60°，距离不变。五子棋中，(2,4)无法形成五连，(7,-1)可形成斜线五连，故小刚正确。\", \"answer\": \"南偏西60°，500；D\", \"confidence\": 1.0, \"handout_chars\": 0}","created_at":"2026-09-25T06:38:49"},{"id":441227,"import_question_id":22260,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案:南偏西60°，500；D || 盲解:南偏西60°，500；D","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-09-25T06:38:49"},{"id":441228,"import_question_id":22260,"audit_type":"COHERENCE","auditor_name":"coherence-rule","status":"FAIL","score":0.3,"input_snapshot":"答案:南偏西60°，500；D || 解析:【典例1】方向具有相对性，角度大小相等，方向相反。小刚在小明的北偏东60°方向，则小明在小刚的南偏西60°方向，距离不变，仍为500m。 【典例2】建立平面直角坐标系，①的位置是(1,-1)，②的位置是(2,0)。黑棋放在(2,4)的位置，与②(2,0)在同一列，但中间有白棋阻挡，无法形成连续五颗；黑棋放在(7,-1)的位置，与①(1,-1)、②(2,0)等位置关系，可以形成斜线连续五颗黑棋，胜利","result_json":"{\"ok\": false, \"rule\": true, \"which\": [\"answer\", \"solution\"], \"issues\": [\"解析含页面杂讯（例1），疑似切分污染\"], \"confidence\": 0.95}","created_at":"2026-09-25T06:38:49"},{"id":441229,"import_question_id":22260,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"PASS","score":1.0,"input_snapshot":"答案:南偏西60°，500；D || 盲解:南偏西60°，500；D","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"盲解与来源答案一致\"}, \"status\": \"PASS\", \"applicable\": true}","created_at":"2026-09-25T06:38:49"},{"id":441230,"import_question_id":22260,"audit_type":"AUTO_REPAIR_ATTEMPT","auditor_name":"answer-repair","status":"FAIL","score":0.95,"input_snapshot":null,"result_json":"{\"critic\": true, \"symbolic\": true, \"coherence\": false, \"consensus\": \"two_solvers+symbolic+critic+coherence\", \"confidence\": 0.95, \"verifier_base\": \"http://127.0.0.1:8091/v1\", \"verifier_confidence\": 1.0, \"critic_explicit_pass\": true, \"symbolic_literal_warn\": false, \"symbolic_explicit_pass\": true, \"coherence_explicit_pass\": false}","created_at":"2026-09-25T06:38:49"}]}