{"ok":true,"question":{"id":21060,"question_uuid":"3741347e-9300-44d5-9c81-43fd678d1ea9","job_id":3,"source_file":"人教版/七下/2026江苏七年级期末数学试卷+答案390.pdf","source_page_start":1,"source_page_end":1,"source_bbox":"[30.0, 153.15, 266.97, 424.15]","subject_code":"math","grade_level":"SENIOR","tree_code":"KT_SENIOR_MATH_STANDARD","question_type":"knowledge","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"立方根 如果一个数的立方等于即a,\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"x^{3}\"}, {\"text\": \"= a, 定义\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{x}{x}\"}, {\"text\": \"那么这个数叫做的立方根a. 被开 任意数 方数 符号 3 a 表示 ①一个正数有一个正的立方根； 性质 ②一个负数有一个负的立方根； ③0 的立方根等于0. 结论 ^{3}(\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{a}\"}, {\"text\": \")3 =a\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"3 \\\\sqrt{a^{3}} =\"}, {\"text\": \"a\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"3 \\\\sqrt{−a} =\"}, {\"text\": \"−\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"3 \\\\sqrt{a}\"}, {\"html\": \"<table class=\\\"dataframe\\\">\\n  <thead>\\n    <tr style=\\\"text-align: right;\\\">\\n      <th>Col0</th>\\n      <th>立方根</th>\\n      <th>平方根</th>\\n    </tr>\\n  </thead>\\n  <tbody>\\n    <tr>\\n      <td>定义</td>\\n      <td>如果一个数x的立方等于a,即x3 =a,\\\\n那么这个数x叫做a的立方根.</td>\\n      <td>如果一个数x的平方等于a,即x2 =a,\\\\n那么这个数x叫做a的平方根.</td>\\n    </tr>\\n    <tr>\\n      <td>被开\\\\n方数</td>\\n      <td>任意数</td>\\n      <td>非负数</td>\\n    </tr>\\n    <tr>\\n      <td>符号\\\\n表示</td>\\n      <td>3 a</td>\\n      <td> a</td>\\n    </tr>\\n    <tr>\\n      <td>性质</td>\\n      <td>①一个正数有一个正的立方根；\\\\n②一个负数有一个负的立方根；\\\\n③0 的立方根等于0.</td>\\n      <td>①正数a的平方根是 a,互为相反数\\\\n②0的平方根是0\\\\n③负数没有平方根</td>\\n    </tr>\\n    <tr>\\n      <td>结论</td>\\n      <td>(3 a)3 =a 3 a3 =a 3 −a = −3 a</td>\\n      <td></td>\\n    </tr>\\n  </tbody>\\n</table>\", \"type\": \"table\", \"source_bbox\": [24.57, 151.04, 570.81, 439.27], \"source_page\": 1}], \"source\": {\"bbox\": [30.0, 153.15, 266.97, 424.15], \"file\": \"人教版/七下/2026江苏七年级期末数学试卷+答案390.pdf\", \"regions\": [{\"bbox\": [30.0, 153.15, 266.97, 424.15], \"page\": 1}], \"section\": \"core\", \"page_end\": 1, \"page_start\": 1, \"section_label\": \"核心知识点学习         请认真理解，不明白的及时圈出！\", \"answer_regions\": []}, \"version\": 1, \"grade_level\": \"SENIOR\", \"number_label\": \"1\", \"subject_code\": \"math\", \"question_type\": \"knowledge\", \"content_sha256\": \"29e772882c668c6fb17471e0166723a6838762128b6c6c432c830cc3a2a61647\"}","body_html":"<div>立方根 如果一个数的立方等于即a,\\(x^{3}\\)= a, 定义\\(\\frac{x}{x}\\)那么这个数叫做的立方根a. 被开 任意数 方数 符号 3 a 表示 ①一个正数有一个正的立方根； 性质 ②一个负数有一个负的立方根； ③0 的立方根等于0. 结论 ^{3}(\\(\\sqrt{a}\\))3 =a\\(3 \\sqrt{a^{3}} =\\)a\\(3 \\sqrt{−a} =\\)−\\(3 \\sqrt{a}\\)<table>\n <thead>\n <tr>\n <th>Col0</th>\n <th>立方根</th>\n <th>平方根</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <td>定义</td>\n <td>如果一个数x的立方等于a,即x3 =a,\n那么这个数x叫做a的立方根.</td>\n <td>如果一个数x的平方等于a,即x2 =a,\n那么这个数x叫做a的平方根.</td>\n </tr>\n <tr>\n <td>被开\n方数</td>\n <td>任意数</td>\n <td>非负数</td>\n </tr>\n <tr>\n <td>符号\n表示</td>\n <td>3 a</td>\n <td> a</td>\n </tr>\n <tr>\n <td>性质</td>\n <td>①一个正数有一个正的立方根；\n②一个负数有一个负的立方根；\n③0 的立方根等于0.</td>\n <td>①正数a的平方根是 a,互为相反数\n②0的平方根是0\n③负数没有平方根</td>\n </tr>\n <tr>\n <td>结论</td>\n <td>(3 a)3 =a 3 a3 =a 3 −a = −3 a</td>\n <td></td>\n </tr>\n </tbody>\n</table></div>","answer_html":"","ways_html":"","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":1.0,"error_message":"QA failed: VISION","published_question_id":null,"content_sha256":"29e772882c668c6fb17471e0166723a6838762128b6c6c432c830cc3a2a61647","created_at":"2026-09-24T22:18:26","updated_at":"2026-09-24T22:26:26","answer_missing":true,"formula_fallback":false,"_number":"1","_section":"core","_section_label":"核心知识点学习         请认真理解，不明白的及时圈出！"},"assets":[],"knowledge":[],"audits":[{"id":414443,"import_question_id":21060,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":1.0,"input_snapshot":"立方根 如果一个数的立方等于即a, x^{3} = a, 定义 \\frac{x}{x} 那么这个数叫做的立方根a. 被开 任意数 方数 符号 3 a 表示 ①一个正数有一个正的立方根； 性质 ②一个负数有一个负的立方根； ③0 的立方根等于0. 结论 ^{3}( \\sqrt{a} )3 =a 3 \\sqrt{a^{3}} = a 3 \\sqrt{−a} = − 3 \\sqrt{a} Col0 立方根 平方根 定义 如果一个数x的立方等于a,即x3 =a,\\n那么这个数x叫做a的立方根. 如果一个数x的平方等于a,即x2 =a,\\n那么这个数x叫做a的平方根. 被开\\n方数 任意数 非负数 符号\\n表示 3 a  a 性质 ①一个正数有一个正的立方根；\\n②一个负数有一个负的立方根；\\n③0 的立方根等于0. ①正数a的平方根是 a,互为相反数\\n②0的平方根是0\\n③负数没有平方根 结论 (3 a)3 =a 3 a3 =a 3 −a = −3 a","result_json":"{\"ok\": true, \"rule\": \"knowledge_content_present\", \"scope\": \"内容存在性；准确性由公式和原图审核检验\", \"issues\": [], \"confidence\": 1.0}","created_at":"2026-09-24T22:22:26"},{"id":414444,"import_question_id":21060,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"x^{3}; \\frac{x}{x}; \\sqrt{a}; 3 \\sqrt{a^{3}} =; 3 \\sqrt{−a} =","result_json":"{\"risky\": 6, \"issues\": [], \"checked\": 6, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-24T22:22:26"},{"id":414518,"import_question_id":21060,"audit_type":"VISION","auditor_name":"vision-auditor","status":"WARN","score":0.2,"input_snapshot":"栏目：核心知识点学习。这是知识陈述或示意图，不要求题目问句、选项、答案或计算数值；仍须逐项检查原图内容有无遗漏、串栏、错误公式或错误配图。\n题干：\n立方根 如果一个数的立方等于即a,\\(x^{3}\\)= a, 定义\\(\\frac{x}{x}\\)那么这个数叫做的立方根a. 被开 任意数 方数 符号 3 a 表示 ①一个正数有一个正的立方根； 性质 ②一个负数有一个负的立方根； ③0 的立方根等于0. 结论 ^{3}(\\(\\sqrt{a}\\))3 =a\\(3 \\sqrt{a^{3}} =\\)a\\(3 \\sqrt{−a} =\\)−\\(3 \\sqrt{a}\\) Col0 立方根 平方根 定义 如果一个数x的立方等于a,即x3 =a,\\n那么这个数x叫做a的立方根. 如果一个数x的平方等于a,即x2 =a,\\n那么这个数x叫做a的平方根. 被开\\n方数 任意数 非负数 符号\\n表示 3 a  a 性质 ①一个正数有一个正的立方根；\\n②一个负数有一个负的立方根；\\n③0 的立方根等于0. ①正数a的平方根是 a,互为相反数\\n②0的平方根是0\\n③负数没有平方根 结论 (3 a)3 =a 3 a3 =a 3 −a = −3 a\n答案：\n\n解析：\n","result_json":"{\"note\": \"视觉比对不可用\", \"error\": \"RuntimeError\", \"unavailable\": true}","created_at":"2026-09-24T22:26:26"},{"id":414519,"import_question_id":21060,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"FAIL","score":1.0,"input_snapshot":"","result_json":"{\"warnings\": [], \"graded_gate\": true, \"hard_failed\": [\"VISION\"], \"knowledge_only\": true}","created_at":"2026-09-24T22:26:26"}]}