{"ok":true,"question":{"id":181778,"question_uuid":"f9d56d0b-9d8f-46ce-bd95-0c40b41349c5","job_id":10,"source_file":"冀教版/八下/薛豪Q_18952688822_315_检测.pdf","source_page_start":1,"source_page_end":1,"source_bbox":"[30.22, 144.62, 498.66, 241.16]","subject_code":"math","grade_level":"JUNIOR","tree_code":"KT_JUNIOR_MATH_STANDARD","question_type":"single_choice","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"下列各题中的y与x之间关系式中，y是x的正比例函数的是(     )\", \"type\": \"text\"}, {\"type\": \"option\", \"label\": \"A\", \"blocks\": [{\"text\": \"在时速为\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"80\\\\,\\\\mathrm{km/h}\"}, {\"text\": \"的匀速(速度不变)运动中，路程y(km)与时间x(h)之间的关系\", \"type\": \"text\"}], \"source_bbox\": [30.22, 171.16, 438.42, 183.99], \"source_page\": 1}, {\"type\": \"option\", \"label\": \"B\", \"blocks\": [{\"text\": \"圆柱的体积y(\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"cm^{3}\"}, {\"text\": \")与它的底面半径x(cm)之间的关系\", \"type\": \"text\"}], \"source_bbox\": [47.57, 185.18, 309.01, 198.79], \"source_page\": 1}, {\"type\": \"option\", \"label\": \"C\", \"blocks\": [{\"text\": \"正方形的面积y(\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"cm^{2}\"}, {\"text\": \")与它的边长x(cm)之间的关系 克收取2.5元的行李费用，则旅客需交的行李费y(元)与携带行李质量x(kg)(x> 20)之间的关系\", \"type\": \"text\"}], \"source_bbox\": [47.57, 199.98, 297.48, 213.6], \"source_page\": 1}, {\"type\": \"option\", \"label\": \"D\", \"blocks\": [{\"text\": \"某车站规定旅客可以免费携带不超过20kg的行李，超过部分每千\", \"type\": \"text\"}], \"source_bbox\": [30.22, 214.55, 370.6, 227.38], \"source_page\": 1}, {\"type\": \"answer\", \"blocks\": [{\"text\": \"A\", \"type\": \"text\"}]}, {\"type\": \"solution\", \"blocks\": [{\"text\": \"因为正比例函数需满足y=kx(k为常数)，选项A：匀速运动中，路程 y与时间x关系为y= 80x，符合y=kx形式；选项B：圆柱体积y与半 径r关系为y =\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\pi{}x^{2}h(h\"}, {\"text\": \"为常数)\", \"type\": \"text\"}, {\"text\": \"，不符合；选项C：正方形面积y与边 长x关系为y =\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"x^{2}\"}, {\"text\": \"，不符合；选项D：行李费y与质量x关系为 y= 2.5(x−20) = 2.5x−50，不符合.∴ 只有A选项是正比例函数.故选：A．\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [30.22, 144.62, 498.66, 241.16], \"file\": \"冀教版/八下/薛豪Q_18952688822_315_检测.pdf\", \"regions\": [{\"bbox\": [30.22, 144.62, 498.66, 241.16], \"page\": 1}], \"section\": \"generic\", \"page_end\": 1, \"page_start\": 1, \"section_label\": \"\", \"answer_regions\": [{\"bbox\": [43.99800109863281, 141.9990997314453, 428.1288757324219, 223.2921600341797], \"page\": 3}], \"answer_original\": \"A\", \"solution_original\": \"因为正比例函数需满足y=kx(k为常数)，选项A：匀速运动中，路程 y与时间x关系为y= 80x，符合y=kx形式；选项B：圆柱体积y与半 径r关系为y = πx^{2}h(h为常数)，不符合；选项C：正方形面积y与边 长x关系为y = x^{2}，不符合；选项D：行李费y与质量x关系为 y= 2.5(x−20) = 2.5x−50，不符合.∴ 只有A选项是正比例函数.故选：A．\"}, \"version\": 1, \"grade_level\": \"JUNIOR\", \"number_label\": \"1\", \"subject_code\": \"math\", \"question_type\": \"single_choice\", \"content_sha256\": \"075061da7acbca3af81addd2aa56b22ade75126048f798c15ab88352af240699\"}","body_html":"<div>下列各题中的y与x之间关系式中，y是x的正比例函数的是(     )<br>A. 在时速为\\(80\\,\\mathrm{km/h}\\)的匀速(速度不变)运动中，路程y(km)与时间x(h)之间的关系<br>B. 圆柱的体积y(\\(cm^{3}\\))与它的底面半径x(cm)之间的关系<br>C. 正方形的面积y(\\(cm^{2}\\))与它的边长x(cm)之间的关系 克收取2.5元的行李费用，则旅客需交的行李费y(元)与携带行李质量x(kg)(x&gt; 20)之间的关系<br>D. 某车站规定旅客可以免费携带不超过20kg的行李，超过部分每千</div>","answer_html":"A","ways_html":"因为正比例函数需满足y=kx(k为常数)，选项A：匀速运动中，路程 y与时间x关系为y= 80x，符合y=kx形式；选项B：圆柱体积y与半 径r关系为y =<span class=\"formula-fallback\">π\\(x^2\\)h(h</span>为常数)，不符合；选项C：正方形面积y与边 长x关系为y =\\(x^{2}\\)，不符合；选项D：行李费y与质量x关系为 y= 2.5(x−20) = 2.5x−50，不符合.∴ 只有A选项是正比例函数.故选：A．","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":0.975,"error_message":"QA failed: FORMULA","published_question_id":null,"content_sha256":"075061da7acbca3af81addd2aa56b22ade75126048f798c15ab88352af240699","created_at":"2026-11-10T09:23:37","updated_at":"2026-11-10T09:42:38","answer_missing":false,"formula_fallback":true,"_number":"1","_section":"generic","_section_label":""},"assets":[],"knowledge":[],"audits":[{"id":9412883,"import_question_id":181778,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"下列各题中的y与x之间关系式中，y是x的正比例函数的是( ) A. 在时速为 80\\,\\mathrm{km/h} 的匀速(速度不变)运动中，路程y(km)与时间x(h)之间的关系 B. 圆柱的体积y( cm^{3} )与它的底面半径x(cm)之间的关系 C. 正方形的面积y( cm^{2} )与它的边长x(cm)之间的关系 克收取2.5元的行李费用，则旅客需交的行李费y(元)与携带行李质量x(kg)(x> 20)之间的关系 D. 某车站规定旅客可以免费携带不超过20kg的行李，超过部分每千","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-11-10T09:35:39"},{"id":9412884,"import_question_id":181778,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"FAIL","score":1.0,"input_snapshot":"80\\,\\mathrm{km/h}; cm^{3}; cm^{2}; \\pi{}x^{2}h(h; x^{2}","result_json":"{\"risky\": 5, \"issues\": [\"非法 LaTeX #4: unbalanced delimiters\"], \"checked\": 5, \"invalid\": 1, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [{\"index\": 3, \"latex\": \"\\\\pi{}x^{2}h(h\", \"issues\": [\"unbalanced delimiters\"]}], \"visually_verified\": 0}","created_at":"2026-11-10T09:35:39"},{"id":9412885,"import_question_id":181778,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"下列各题中的y与x之间关系式中，y是x的正比例函数的是( ) A. 在时速为 80\\,\\mathrm{km/h} 的匀速(速度不变)运动中，路程y(km)与时间x(h)之间的关系 B. 圆柱的体积y( cm^{3} )与它的底面半径x(cm)之间的关系 C. 正方形的面积y( cm^{2} )与它的边长x(cm)之间的关系 克收取2.5元的行李费用，则旅客需交的行李费y(元)与携带行李质量x(kg)(x> 20)之间的关系 D. 某车站规定旅客可以免费携带不超过20kg的行李，超过部分每千","result_json":"{\"picks\": [], \"tree_code\": \"KT_JUNIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-11-10T09:35:39"},{"id":9412905,"import_question_id":181778,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":1.0,"input_snapshot":"题干：\n下列各题中的y与x之间关系式中，y是x的正比例函数的是( ) A. 在时速为\\(80\\,\\mathrm{km/h}\\)的匀速(速度不变)运动中，路程y(km)与时间x(h)之间的关系 B. 圆柱的体积y(\\(cm^{3}\\))与它的底面半径x(cm)之间的关系 C. 正方形的面积y(\\(cm^{2}\\))与它的边长x(cm)之间的关系 克收取2.5元的行李费用，则旅客需交的行李费y(元)与携带行李质量x(kg)(x&gt; 20)之间的关系 D. 某车站规定旅客可以免费携带不超过20kg的行李，超过部分每千\n答案：\nA\n解析：\n因为正比例函数需满足y=kx(k为常数)，选项A：匀速运动中，路程 y与时间x关系为y= 80x，符合y=kx形式；选项B：圆柱体积y与半 径r关系为y = πx^2h(h 为常数)，不符合；选项C：正方形面积y与边 长x关系为y =\\(x^{2}\\)，不符合；选项D：行李费y与质量x关系为 y= 2.5(x−20) = 2.5x−50，不符合.∴ 只有A选项是正比例函数.故选：A．","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 1.0, \"suggestions\": [\"解析中选项B提到“半径r”，但题干中变量为x，建议统一符号为x以保持一致性\"]}","created_at":"2026-11-10T09:36:43"},{"id":9415639,"import_question_id":181778,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"下列各题中的y与x之间关系式中，y是x的正比例函数的是( ) A. 在时速为 80\\,\\mathrm{km/h} 的匀速(速度不变)运动中，路程y(km)与时间x(h)之间的关系 B. 圆柱的体积y( cm^{3} )与它的底面半径x(cm)之间的关系 C. 正方形的面积y( cm^{2} )与它的边长x(cm)之间的关系 克收取2.5元的行李费用，则旅客需交的行李费y(元)与携带行李质量x(kg)(x> 20)之间的关系 D. 某车站规定旅客可以免费携带不超过20kg的行李，超过部分每千","result_json":"{\"basis\": \"正比例函数的定义是y=kx（k为常数，k≠0）。选项A中，路程y=80x，符合定义；选项B中，y=πx²，是二次函数；选项C中，y=x²，也是二次函数；选项D中，y=2.5(x-20)，是一次函数但不是正比例函数（因为当x=0时y≠0）。\", \"answer\": \"A\", \"confidence\": 1.0, \"handout_chars\": 0}","created_at":"2026-11-10T09:39:23"},{"id":9415640,"import_question_id":181778,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案:A || 盲解:A","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-11-10T09:39:23"},{"id":9415641,"import_question_id":181778,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"PASS","score":1.0,"input_snapshot":"答案:A || 盲解:A","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"盲解与来源答案一致\"}, \"status\": \"PASS\", \"applicable\": true}","created_at":"2026-11-10T09:39:23"},{"id":9415695,"import_question_id":181778,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"PASS","score":1.0,"input_snapshot":"答案:A || 解析:因为正比例函数需满足y=kx(k为常数)，选项A：匀速运动中，路程 y与时间x关系为y= 80x，符合y=kx形式；选项B：圆柱体积y与半 径r关系为y = πx^2h(h 为常数)，不符合；选项C：正方形面积y与边 长x关系为y =\\(x^{2}\\)，不符合；选项D：行李费y与质量x关系为 y= 2.5(x−20) = 2.5x−50，不符合.∴ 只有A选项是正比例函数.故选：A．","result_json":"{\"ok\": true, \"which\": [], \"issues\": [], \"confidence\": 1.0, \"equation_checks\": [{\"valid\": true, \"reason\": \"代数展开正确：2.5 乘以 (x - 20) 确实等于 2.5x - 50。\", \"equation\": \"y = 2.5(x - 20) = 2.5x - 50\"}]}","created_at":"2026-11-10T09:42:38"},{"id":9415696,"import_question_id":181778,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"FAIL","score":0.975,"input_snapshot":"","result_json":"{\"warnings\": [], \"graded_gate\": true, \"hard_failed\": [\"FORMULA\"]}","created_at":"2026-11-10T09:42:38"}]}