{"ok":true,"question":{"id":21369,"question_uuid":"5d82be2b-bb19-4831-85f2-87aa43128dce","job_id":3,"source_file":"人教版/七下/2026江苏七年级期末数学试卷+答案410.pdf","source_page_start":2,"source_page_end":3,"source_bbox":"[31.56, 778.43, 344.95, 223.36]","subject_code":"math","grade_level":"JUNIOR","tree_code":"KT_JUNIOR_MATH_STANDARD","question_type":"single_choice","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"【小试2】 数轴上点A表示的数是− 1，点B, C分别位于点A的两侧，且到点A的距 离相等．若点B表示的数是−√3，则点C表示的数是( ).\", \"type\": \"text\"}, {\"kind\": \"embedded_image\", \"type\": \"figure\", \"width\": 289, \"height\": 205, \"sha256\": \"1e9eb8bf473a913264775fe4571cc08af7f92682faf537d7dd9d8c552ddc7bae\", \"caption\": \"\", \"asset_key\": \"math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/5d82be2b-bb19-4831-85f2-87aa43128dce/1e9eb8bf473a.png\", \"public_url\": \"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/5d82be2b-bb19-4831-85f2-87aa43128dce/1e9eb8bf473a.png\", \"source_bbox\": [30.0, 241.1999664306641, 71.19300079345703, 277.14996337890625], \"source_page\": 3}, {\"html\": \"<table class=\\\"dataframe\\\">\\n  <thead>\\n    <tr style=\\\"text-align: right;\\\">\\n      <th>1，点 B, C 分别位于点A 的两侧，且到点 A 的距\\n离相等．若点 B 表示的数是−√3，则点C 表示的数是( ).\\n(A)√3\\n(B)√3 −1\\n(C)2 + √3\\n(D)√3 −2</th>\\n      <th>Col1</th>\\n    </tr>\\n  </thead>\\n  <tbody>\\n  </tbody>\\n</table>\", \"type\": \"table\", \"source_bbox\": [30.18, 109.7, 568.26, 225.38], \"source_page\": 3}, {\"type\": \"option\", \"label\": \"A\", \"blocks\": [{\"text\": \"√3\", \"type\": \"text\"}], \"source_bbox\": [31.56, 160.35, 82.1, 173.8], \"source_page\": 3}, {\"type\": \"option\", \"label\": \"B\", \"blocks\": [{\"text\": \"√3 −1\", \"type\": \"text\"}], \"source_bbox\": [31.56, 176.91, 103.1, 190.36], \"source_page\": 3}, {\"type\": \"option\", \"label\": \"C\", \"blocks\": [{\"text\": \"2 + √3\", \"type\": \"text\"}], \"source_bbox\": [31.56, 193.35, 103.1, 206.8], \"source_page\": 3}, {\"type\": \"option\", \"label\": \"D\", \"blocks\": [{\"text\": \"√3 −2\", \"type\": \"text\"}], \"source_bbox\": [31.56, 209.91, 103.1, 223.36], \"source_page\": 3}, {\"type\": \"answer\", \"blocks\": [{\"text\": \"D\", \"type\": \"text\"}]}, {\"type\": \"solution\", \"blocks\": [{\"text\": \"因为点A表示的数是$-1$，点B,C分别位于点A的两侧，且到点A的距离相等；设点C表示的数为\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"c\"}, {\"text\": \"，又点B表示的数是\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"-\\\\sqrt{3}\"}, {\"text\": \"，\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"-\\\\sqrt{3} < -1\"}, {\"text\": \"，\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\therefore\"}, {\"text\": \"B点在A的左侧，\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\therefore -1 - (\\\\sqrt{3}) = c - (-1)\"}, {\"text\": \"，解得：\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"c = \\\\sqrt{3} - 2\"}, {\"text\": \"，故选：D\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [31.56, 778.43, 344.95, 223.36], \"file\": \"人教版/七下/2026江苏七年级期末数学试卷+答案410.pdf\", \"regions\": [{\"bbox\": [31.56, 778.43, 165.34, 808.1], \"page\": 2}, {\"bbox\": [31.56, 112.47, 344.95, 223.36], \"page\": 3}], \"section\": \"quiz\", \"page_end\": 3, \"page_start\": 2, \"section_label\": \"小试牛刀   ★ 独立完成，见证实力！\", \"answer_regions\": [{\"bbox\": [30.0, 220.33, 551.84, 320.95], \"page\": 6}], \"answer_original\": \"D\", \"solution_original\": \"因为点A表示的数是−1，点B, C分别位于点A的两侧，且到点A的距离相 等；设点C表示的数为c，又点B表示的数是−√3, −√3 < −1 ∴B点在A的左侧，∴−1 −(√3) = c −(−1), 解得：c = √3 −2，故选：D\"}, \"version\": 1, \"grade_level\": \"JUNIOR\", \"number_label\": \"2\", \"subject_code\": \"math\", \"question_type\": \"single_choice\", \"content_sha256\": \"bd956356721c307057cbb919c52192ab0997e2e678dc3a516f395972c5bc14b8\"}","body_html":"<div>【小试2】 数轴上点A表示的数是− 1，点B, C分别位于点A的两侧，且到点A的距 离相等．若点B表示的数是−√3，则点C表示的数是( ).<img class=\"question-figure\" src=\"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/5d82be2b-bb19-4831-85f2-87aa43128dce/1e9eb8bf473a.png\" style=\"width:54.9px!important;max-width:100%;height:auto\" alt=\"\" title=\"点击查看原图\"><table>\n <thead>\n <tr>\n <th>1，点 B, C 分别位于点A 的两侧，且到点 A 的距\n离相等．若点 B 表示的数是−√3，则点C 表示的数是( ).\n(A)√3\n(B)√3 −1\n(C)2 + √3\n(D)√3 −2</th>\n <th>Col1</th>\n </tr>\n </thead>\n <tbody>\n </tbody>\n</table><br>A. √3<br>B. √3 −1<br>C. 2 + √3<br>D. √3 −2</div>","answer_html":"D","ways_html":"因为点A表示的数是$-1$，点B,C分别位于点A的两侧，且到点A的距离相等；设点C表示的数为\\(c\\)，又点B表示的数是\\(-\\sqrt{3}\\)，\\(-\\sqrt{3} &lt; -1\\)，\\(\\therefore\\)B点在A的左侧，\\(\\therefore -1 - (\\sqrt{3}) = c - (-1)\\)，解得：\\(c = \\sqrt{3} - 2\\)，故选：D","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":0.95,"error_message":"QA failed: COHERENCE,ANSWER","published_question_id":null,"content_sha256":"bd956356721c307057cbb919c52192ab0997e2e678dc3a516f395972c5bc14b8","created_at":"2026-09-25T00:22:36","updated_at":"2026-09-25T00:41:02","answer_missing":false,"formula_fallback":false,"_number":"2","_section":"quiz","_section_label":"小试牛刀   ★ 独立完成，见证实力！"},"assets":[{"id":4651,"asset_uuid":"08a721cc641f4589bc01a287a1da004d","job_id":3,"import_question_id":21369,"asset_type":"embedded_image","source_file":"2026江苏七年级期末数学试卷+答案410.pdf","source_page":3,"source_bbox":"[30.0, 241.2, 71.19, 277.15]","sha256":"1e9eb8bf473a913264775fe4571cc08af7f92682faf537d7dd9d8c552ddc7bae","local_path":"/www/wwwroot/tikupdfpng.mtwlkj.net_5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/5d82be2b-bb19-4831-85f2-87aa43128dce/1e9eb8bf473a.png","asset_key":"math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/5d82be2b-bb19-4831-85f2-87aa43128dce/1e9eb8bf473a.png","public_url":"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/5d82be2b-bb19-4831-85f2-87aa43128dce/1e9eb8bf473a.png","width":289,"height":205,"qa_status":"PENDING","created_at":"2026-09-25T00:29:03","safe_public_url":"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/5d82be2b-bb19-4831-85f2-87aa43128dce/1e9eb8bf473a.png"}],"knowledge":[],"audits":[{"id":420801,"import_question_id":21369,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"【小试2】 数轴上点A表示的数是− 1，点B, C分别位于点A的两侧，且到点A的距 离相等．若点B表示的数是−√3，则点C表示的数是( ). [图] 1，点 B, C 分别位于点A 的两侧，且到点 A 的距 离相等．若点 B 表示的数是−√3，则点C 表示的数是( ). (A)√3 (B)√3 −1 (C)2 + √3 (D)√3 −2 Col1 A. √3 B. √3 −1 C. 2 + √3 D. √3 −2","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-09-25T00:36:18"},{"id":420802,"import_question_id":21369,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"c; -\\sqrt{3}; -\\sqrt{3} < -1; \\therefore; \\therefore -1 - (\\sqrt{3}) = c - (-1)","result_json":"{\"risky\": 4, \"issues\": [], \"checked\": 6, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-25T00:36:18"},{"id":420803,"import_question_id":21369,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"【小试2】 数轴上点A表示的数是− 1，点B, C分别位于点A的两侧，且到点A的距 离相等．若点B表示的数是−√3，则点C表示的数是( ). [图] 1，点 B, C 分别位于点A 的两侧，且到点 A 的距 离相等．若点 B 表示的数是−√3，则点C 表示的数是( ). (A)√3 (B)√3 −1 (C)2 + √3 (D)√3 −2 Col1 A. √3 B. √3 −1 C. 2 + √3 D. √3 −2","result_json":"{\"picks\": [], \"tree_code\": \"KT_JUNIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-25T00:36:18"},{"id":421185,"import_question_id":21369,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.95,"input_snapshot":"题干：\n【小试2】 数轴上点A表示的数是− 1，点B, C分别位于点A的两侧，且到点A的距 离相等．若点B表示的数是−√3，则点C表示的数是( ). 1，点 B, C 分别位于点A 的两侧，且到点 A 的距 离相等．若点 B 表示的数是−√3，则点C 表示的数是( ). (A)√3 (B)√3 −1 (C)2 + √3 (D)√3 −2 Col1 A. √3 B. √3 −1 C. 2 + √3 D. √3 −2\n答案：\nD\n解析：\n因为点A表示的数是$-1$，点B,C分别位于点A的两侧，且到点A的距离相等；设点C表示的数为\\(c\\)，又点B表示的数是\\(-\\sqrt{3}\\)，\\(-\\sqrt{3} < -1\\)，\\(\\therefore\\)B点在A的左侧，\\(\\therefore -1 - (\\sqrt{3}) = c - (-1)\\)，解得：\\(c = \\sqrt{3} - 2\\)，故选：D","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.95, \"suggestions\": [\"解析中‘-1 - (√3) = c - (-1)’的推导过程可以更清晰地说明是利用了A为BC中点的性质，即AB = AC，从而得到 -1 - (-√3) = c - (-1) 或 | -1 - (-√3) | = | c - (-1) |，再根据位置关系确定符号。当前写法‘-1 - (√3)’可能引起误解，因为B点表示的是 -√3，而非 √3。建议修正为：由B在A左侧，得 AB = -1 - (-√3) = √3 - 1；因C在A右侧且AC = AB，故 c - (-1) = √3 - 1，解得 c = √3 - 2。\"]}","created_at":"2026-09-25T00:37:21"},{"id":421186,"import_question_id":21369,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"【小试2】 数轴上点A表示的数是− 1，点B, C分别位于点A的两侧，且到点A的距 离相等．若点B表示的数是−√3，则点C表示的数是( ). [图] 1，点 B, C 分别位于点A 的两侧，且到点 A 的距 离相等．若点 B 表示的数是−√3，则点C 表示的数是( ). (A)√3 (B)√3 −1 (C)2 + √3 (D)√3 −2 Col1 A. √3 B. √3 −1 C. 2 + √3 D. √3 −2","result_json":"{\"basis\": \"点A表示−1，点B表示−√3，则AB距离为|−√3 − (−1)| = √3 − 1。因B、C关于A对称，AC距离也为√3 − 1，且C在A右侧，故C表示的数为−1 + (√3 − 1) = √3 − 2。\", \"answer\": \"(D)\", \"confidence\": 1.0, \"handout_chars\": 0}","created_at":"2026-09-25T00:37:31"},{"id":421187,"import_question_id":21369,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案:D || 盲解:(D)","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-09-25T00:37:31"},{"id":421189,"import_question_id":21369,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"PASS","score":1.0,"input_snapshot":"答案:D || 盲解:(D)","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"盲解与来源答案一致\"}, \"status\": \"PASS\", \"applicable\": true}","created_at":"2026-09-25T00:37:32"},{"id":421212,"import_question_id":21369,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.95,"input_snapshot":"答案:D || 解析:因为点A表示的数是$-1$，点B,C分别位于点A的两侧，且到点A的距离相等；设点C表示的数为\\(c\\)，又点B表示的数是\\(-\\sqrt{3}\\)，\\(-\\sqrt{3} < -1\\)，\\(\\therefore\\)B点在A的左侧，\\(\\therefore -1 - (\\sqrt{3}) = c - (-1)\\)，解得：\\(c = \\sqrt{3} - 2\\)，故选：D","result_json":"{\"ok\": false, \"which\": [\"solution\"], \"issues\": [\"解析中距离等式写错：应为 (−√3) 到 −1 的距离等于 c 到 −1 的距离，即 |−√3 + 1| = |c + 1|，因 √3 > 1，左边为 √3 − 1；又C在A右侧，c + 1 > 0，故 √3 − 1 = c + 1，解得 c = √3 − 2。但解析写成 −1 − √3 = c + 1，左边为负数，距离不能为负，属符号错误。\", \"-1 - (√3) = c - (-1): 左边应为点B到点A的距离，即 |−√3 − (−1)| = |−√3 + 1| = √3 − 1（因为 √3 > 1），右边应为点C到点A的距离，即 |c − (−1)| = |c + 1|。由于C在A右侧，c + 1 > 0，故右边为 c + 1。正确等式应为 √3 − 1 = c + 1，而非 −1 − √3 = c + 1。\"], \"confidence\": 0.95, \"equation_checks\": [{\"valid\": false, \"reason\": \"左边应为点B到点A的距离，即 |−√3 − (−1)| = |−√3 + 1| = √3 − 1（因为 √3 > 1），右边应为点C到点A的距离，即 |c − (−1)| = |c + 1|。由于C在A右侧，c + 1 > 0，故右边为 c + 1。正确等式应为 √3 − 1 = c + 1，而非 −1 − √3 = c + 1。\", \"equation\": \"-1 - (√3) = c - (-1)\"}]}","created_at":"2026-09-25T00:38:55"},{"id":421213,"import_question_id":21369,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"FAIL","score":0.95,"input_snapshot":"","result_json":"{\"warnings\": [], \"graded_gate\": true, \"hard_failed\": [\"COHERENCE\"]}","created_at":"2026-09-25T00:38:55"},{"id":421225,"import_question_id":21369,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"【小试2】 数轴上点A表示的数是− 1，点B, C分别位于点A的两侧，且到点A的距 离相等．若点B表示的数是−√3，则点C表示的数是( ). [图] 1，点 B, C 分别位于点A 的两侧，且到点 A 的距 离相等．若点 B 表示的数是−√3，则点C 表示的数是( ). (A)√3 (B)√3 −1 (C)2 + √3 (D)√3 −2 Col1 A. √3 B. √3 −1 C. 2 + √3 D. √3 −2","result_json":"{\"basis\": \"点A表示−1，点B表示−√3，则AB距离为|−√3 − (−1)| = √3 − 1。因B、C关于A对称，AC距离也为√3 − 1，且C在A右侧，故C表示的数为−1 + (√3 − 1) = √3 − 2。\", \"answer\": \"(D)\", \"confidence\": 1.0, \"handout_chars\": 0}","created_at":"2026-09-25T00:39:59"},{"id":421226,"import_question_id":21369,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案:D || 盲解:(D)","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-09-25T00:39:59"},{"id":421237,"import_question_id":21369,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.9,"input_snapshot":"答案:D || 解析:点A表示的数是-1，点B表示的数是-√3。因为-√3 &lt; -1，所以点B在点A的左侧，且距离为 |−√3 − (−1)| = √3 − 1。由于点C在点A的右侧且到点A的距离相等，设点C表示的数为c，则c − (−1) = √3 − 1，即c + 1 = √3 − 1，解得c = √3 − 2。因此，点C表示的数是√3 − 2，对应选项D。","result_json":"{\"ok\": false, \"which\": [\"solution\"], \"issues\": [\"点C应在点A右侧，即 c > -1，但解得 c = √3 − 2 ≈ -0.268 < -1，与‘右侧’矛盾。\", \"c + 1 = √3 − 1: 由 c − (−1) = √3 − 1 应得 c + 1 = √3 − 1，但后续解得 c = √3 − 2 时，代入验证：(√3 − 2) + 1 = √3 − 1，成立。然而题干中点C应在A右侧，c > -1，而 √3 ≈ 1.732，√3 − 2 ≈ -0.268 < -1，矛盾。说明距离计算或方向判断有误。\"], \"confidence\": 0.9, \"equation_checks\": [{\"valid\": false, \"reason\": \"由 c − (−1) = √3 − 1 应得 c + 1 = √3 − 1，但后续解得 c = √3 − 2 时，代入验证：(√3 − 2) + 1 = √3 − 1，成立。然而题干中点C应在A右侧，c > -1，而 √3 ≈ 1.732，√3 − 2 ≈ -0.268 < -1，矛盾。说明距离计算或方向判断有误。\", \"equation\": \"c + 1 = √3 − 1\"}]}","created_at":"2026-09-25T00:41:02"},{"id":421238,"import_question_id":21369,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"PASS","score":1.0,"input_snapshot":"答案:D || 盲解:(D)","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"盲解与来源答案一致\"}, \"status\": \"PASS\", \"applicable\": true}","created_at":"2026-09-25T00:41:02"},{"id":421239,"import_question_id":21369,"audit_type":"AUTO_REPAIR_ATTEMPT","auditor_name":"answer-repair","status":"FAIL","score":1.0,"input_snapshot":null,"result_json":"{\"critic\": true, \"symbolic\": true, \"coherence\": false, \"consensus\": \"two_solvers+symbolic+critic+coherence\", \"confidence\": 1.0, \"verifier_base\": \"http://127.0.0.1:8092/v1\", \"verifier_confidence\": 1.0, \"critic_explicit_pass\": true, \"symbolic_literal_warn\": false, \"symbolic_explicit_pass\": true, \"coherence_explicit_pass\": false}","created_at":"2026-09-25T00:41:02"}]}