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<?php return [
    'version' => '1.0',
    'info' => [
        'style' => 'ROA',
        'product' => 'EduTutor',
        'version' => '2025-07-07',
    ],
    'directories' => [
        'CutQuestions',
        'AnswerSSE',
    ],
    'components' => [
        'schemas' => [],
    ],
    'apis' => [
        'CutQuestions' => [
            'summary' => '切题及题目结构化接口,客户输入试卷或整页题目图片,算法返回每个题目的位置信息以及结构化(题干、选项、答案等)信息。',
            'path' => '/service/cutApi',
            'methods' => [
                'post',
            ],
            'schemes' => [
                'https',
            ],
            'security' => [
                [
                    'AK' => [],
                ],
            ],
            'consumes' => [
                'application/json',
            ],
            'produces' => [
                'application/json',
            ],
            'operationType' => 'readAndWrite',
            'deprecated' => false,
            'systemTags' => [
                'operationType' => 'none',
                'riskType' => 'none',
                'chargeType' => 'paid',
                'tenantRelevance' => 'publicInformation',
            ],
            'parameters' => [
                [
                    'name' => 'workspaceId',
                    'in' => 'query',
                    'schema' => [
                        'description' => '当前请求所使用的百炼业务空间 id。',
                        'type' => 'string',
                        'required' => true,
                        'example' => 'llm-1ijrzuv3v0ivvls7',
                    ],
                ],
                [
                    'name' => 'body',
                    'in' => 'body',
                    'style' => 'json',
                    'schema' => [
                        'description' => '请求body。',
                        'type' => 'object',
                        'properties' => [
                            'image' => [
                                'description' => '试卷、题目图片链接。',
                                'type' => 'string',
                                'required' => true,
                                'example' => 'https://oss.xxx.com/xx.png',
                            ],
                            'parameters' => [
                                'description' => '参数配置。',
                                'type' => 'object',
                                'properties' => [
                                    'struct' => [
                                        'description' => '是否返回结构化信息。',
                                        'type' => 'boolean',
                                        'required' => true,
                                        'example' => 'true',
                                    ],
                                    'extract_images' => [
                                        'description' => '是否返回子题临时oss链接,便于后续答题直接使用。',
                                        'type' => 'boolean',
                                        'required' => true,
                                        'example' => 'true',
                                    ],
                                ],
                                'required' => true,
                            ],
                        ],
                        'required' => false,
                    ],
                ],
            ],
            'responses' => [
                200 => [
                    'schema' => [
                        'title' => 'Schema of Response',
                        'description' => 'Schema of Response',
                        'type' => 'object',
                        'properties' => [
                            'requestId' => [
                                'description' => '请求id,每次请求都是唯一值,便于后续排查问题。',
                                'type' => 'string',
                                'example' => '1CE2851D-96D6-51D0-8ADA-EB7ACAF374BB',
                            ],
                            'success' => [
                                'description' => '调用是否成功。',
                                'type' => 'boolean',
                                'example' => 'True',
                            ],
                            'code' => [
                                'description' => '响应状态码。',
                                'type' => 'string',
                                'example' => 'SUCCESS',
                            ],
                            'httpStatusCode' => [
                                'description' => 'http状态码。',
                                'type' => 'integer',
                                'format' => 'int32',
                                'example' => '200',
                            ],
                            'message' => [
                                'description' => '返回码描述。',
                                'type' => 'string',
                                'example' => 'success',
                            ],
                            'data' => [
                                'description' => '算法返回结果。',
                                'type' => 'string',
                                'example' => '\'{'."\n"
                                    .'    "questions": ['."\n"
                                    .'        {'."\n"
                                    .'            "pos_list": ['."\n"
                                    .'                ['."\n"
                                    .'                    21,'."\n"
                                    .'                    0,'."\n"
                                    .'                    364,'."\n"
                                    .'                    0,'."\n"
                                    .'                    364,'."\n"
                                    .'                    82,'."\n"
                                    .'                    21,'."\n"
                                    .'                    82'."\n"
                                    .'                ]'."\n"
                                    .'            ],'."\n"
                                    .'            "sub_images": ['."\n"
                                    .'                "http://duguang-mld.oss-accelerate.aliyuncs.com/ocr_edu/1CE2851D-96D6-51D0-8ADA-EB7ACAF374BB_0_0.png?OSSAccessKeyId=LTAI5tPtEwpyT4JR9Gym****&Expires=1755593474&Signature=SnqwepQVvZ51PnUGtpH0fWV50JI%3D"'."\n"
                                    .'            ],'."\n"
                                    .'            "merged_image": "http://duguang-mld.oss-accelerate.aliyuncs.com/ocr_edu/1CE2851D-96D6-51D0-8ADA-EB7ACAF374BB_0_0.png?OSSAccessKeyId=LTAI5tPtEwpyT4JR9Gy****&Expires=1755593474&Signature=SnqwepQVvZ51PnUGtpH0fWV50JI%3D",'."\n"
                                    .'            "info": {'."\n"
                                    .'                "stem": {'."\n"
                                    .'                    "text": "8. 若 \\\\\\\\(a + b = -1\\\\\\\\), \\\\\\\\(ab = 4\\\\\\\\), 则 \\\\\\\\((4a - 5b - 3ab) - (3a - 6b + ab)\\\\\\\\) 的值为 _ 。",'."\n"
                                    .'                    "pos_list": ['."\n"
                                    .'                        ['."\n"
                                    .'                            21,'."\n"
                                    .'                            4,'."\n"
                                    .'                            364,'."\n"
                                    .'                            4,'."\n"
                                    .'                            364,'."\n"
                                    .'                            78,'."\n"
                                    .'                            21,'."\n"
                                    .'                            78'."\n"
                                    .'                        ]'."\n"
                                    .'                    ]'."\n"
                                    .'                },'."\n"
                                    .'                "option": [],'."\n"
                                    .'                "figure": [],'."\n"
                                    .'                "answer": ['."\n"
                                    .'                    {'."\n"
                                    .'                        "text": "-17",'."\n"
                                    .'                        "pos_list": ['."\n"
                                    .'                            ['."\n"
                                    .'                                225,'."\n"
                                    .'                                51,'."\n"
                                    .'                                262,'."\n"
                                    .'                                51,'."\n"
                                    .'                                262,'."\n"
                                    .'                                70,'."\n"
                                    .'                                225,'."\n"
                                    .'                                70'."\n"
                                    .'                            ]'."\n"
                                    .'                        ]'."\n"
                                    .'                    }'."\n"
                                    .'                ],'."\n"
                                    .'                "type": "填空题",'."\n"
                                    .'                "subquestion": []'."\n"
                                    .'            }'."\n"
                                    .'        }'."\n"
                                    .'    ]'."\n"
                                    .'}\'',
                            ],
                            'input_tokens' => [
                                'description' => '此次调用输入消耗的token数。',
                                'type' => 'integer',
                                'format' => 'int32',
                                'example' => '80',
                            ],
                            'output_tokens' => [
                                'description' => '此次调用输出消耗的token数。',
                                'type' => 'integer',
                                'format' => 'int32',
                                'example' => '38',
                            ],
                        ],
                    ],
                ],
            ],
            'staticInfo' => [
                'returnType' => 'synchronous',
            ],
            'responseDemo' => '[{"errorExample":"","example":"{\\n  \\"requestId\\": \\"1CE2851D-96D6-51D0-8ADA-EB7ACAF374BB\\",\\n  \\"success\\": true,\\n  \\"code\\": \\"SUCCESS\\",\\n  \\"httpStatusCode\\": 200,\\n  \\"message\\": \\"success\\",\\n  \\"data\\": \\"\'{\\\\n    \\\\\\"questions\\\\\\": [\\\\n        {\\\\n            \\\\\\"pos_list\\\\\\": [\\\\n                [\\\\n                    21,\\\\n                    0,\\\\n                    364,\\\\n                    0,\\\\n                    364,\\\\n                    82,\\\\n                    21,\\\\n                    82\\\\n                ]\\\\n            ],\\\\n            \\\\\\"sub_images\\\\\\": [\\\\n                \\\\\\"http://duguang-mld.oss-accelerate.aliyuncs.com/ocr_edu/1CE2851D-96D6-51D0-8ADA-EB7ACAF374BB_0_0.png?OSSAccessKeyId=LTAI5tPtEwpyT4JR9Gym****&Expires=1755593474&Signature=SnqwepQVvZ51PnUGtpH0fWV50JI%3D\\\\\\"\\\\n            ],\\\\n            \\\\\\"merged_image\\\\\\": \\\\\\"http://duguang-mld.oss-accelerate.aliyuncs.com/ocr_edu/1CE2851D-96D6-51D0-8ADA-EB7ACAF374BB_0_0.png?OSSAccessKeyId=LTAI5tPtEwpyT4JR9Gy****&Expires=1755593474&Signature=SnqwepQVvZ51PnUGtpH0fWV50JI%3D\\\\\\",\\\\n            \\\\\\"info\\\\\\": {\\\\n                \\\\\\"stem\\\\\\": {\\\\n                    \\\\\\"text\\\\\\": \\\\\\"8. 若 \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\(a + b = -1\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\), \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\(ab = 4\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\), 则 \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\((4a - 5b - 3ab) - (3a - 6b + ab)\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\) 的值为 _ 。\\\\\\",\\\\n                    \\\\\\"pos_list\\\\\\": [\\\\n                        [\\\\n                            21,\\\\n                            4,\\\\n                            364,\\\\n                            4,\\\\n                            364,\\\\n                            78,\\\\n                            21,\\\\n                            78\\\\n                        ]\\\\n                    ]\\\\n                },\\\\n                \\\\\\"option\\\\\\": [],\\\\n                \\\\\\"figure\\\\\\": [],\\\\n                \\\\\\"answer\\\\\\": [\\\\n                    {\\\\n                        \\\\\\"text\\\\\\": \\\\\\"-17\\\\\\",\\\\n                        \\\\\\"pos_list\\\\\\": [\\\\n                            [\\\\n                                225,\\\\n                                51,\\\\n                                262,\\\\n                                51,\\\\n                                262,\\\\n                                70,\\\\n                                225,\\\\n                                70\\\\n                            ]\\\\n                        ]\\\\n                    }\\\\n                ],\\\\n                \\\\\\"type\\\\\\": \\\\\\"填空题\\\\\\",\\\\n                \\\\\\"subquestion\\\\\\": []\\\\n            }\\\\n        }\\\\n    ]\\\\n}\'\\",\\n  \\"input_tokens\\": 80,\\n  \\"output_tokens\\": 38\\n}","type":"json"}]',
            'title' => '试卷切题',
            'description' => '开通 EduTutor 服务。本接口在公测阶段,每个账号每天可以免费调用1000次。',
            'responseParamsDescription' => '#### 算法结果字段 data '."\n"
                .'+ 需要序列化,字段说明如下:'."\n"
                ."\n"
                .'|字段|类型|描述|示例值|'."\n"
                .'|-----|---|--|--|'."\n"
                .'questions | array | 模型切出来的题目数组。|	'."\n"
                .'questions[i].pos_list | array | 第i道题目的坐标框(可能含有多个)。 | [[21,0,364,0,364,82,21,82]] | '."\n"
                .'questions[i].sub_images | array | 根据坐标框提取出来的子图图片链接(7天有效)。| |'."\n"
                .'questions[i].merged_image | string | 所有子图合并之后的题目完整图片链接(7天有效)。| |'."\n"
                .'questions[i].info | object | 题目结构化信息。| |'."\n"
                .'questions[i].info.type | string | 题目类型:选择题/填空题/判断题/问答题/作文题/其他。 | 填空题 |'."\n"
                .'questions[i].info.stem | array |题干信息。| |	'."\n"
                .'questions[i].info.stem.text | string | 题干文本信息。|  |	'."\n"
                .'questions[i].info.stem.pos_list | array | 题干坐标框信息。| |'."\n"
                .'questions[i].info.option | array | 选项信息。|  |	'."\n"
                .'questions[i].info.option[j].text | string | 选项文本信息。| |'."\n"
                .'questions[i].info.option[j].pos_list | array | 选项位置信息。 | |	'."\n"
                .'questions[i].info.figure | array | 插图信息。| |'."\n"
                .'questions[i].info.figure[k].pos_list | array | 插图位置信息。| |'."\n"
                .'questions[i].info.answer | array | 答案信息。 | |'."\n"
                .'questions[i].info.answer[m].pos_list | array | 答案位置信息。| "-17" |'."\n"
                .'questions[i].info.answer[m].text | string | 答案文本信息。| |	'."\n"
                .'questions[i].info.subquestion | array | 子题信息(结构和info一致)。| |'."\n"
                ."\n"
                .'举例:'."\n"
                .'```'."\n"
                .'{'."\n"
                .'    "questions": ['."\n"
                .'        {'."\n"
                .'            "pos_list": ['."\n"
                .'                ['."\n"
                .'                    21,'."\n"
                .'                    0,'."\n"
                .'                    364,'."\n"
                .'                    0,'."\n"
                .'                    364,'."\n"
                .'                    82,'."\n"
                .'                    21,'."\n"
                .'                    82'."\n"
                .'                ]'."\n"
                .'            ],'."\n"
                .'            "sub_images": ['."\n"
                .'                "http://xxxxx/sub_images/1CE2851D-96D6-51D0-8ADA-EB7ACAF374BB_0_0.png"'."\n"
                .'            ],'."\n"
                .'            "merged_image": "http://xxxxx/sub_images/1CE2851D-96D6-51D0-8ADA-EB7ACAF374BB.png",'."\n"
                .'            "info": {'."\n"
                .'                "stem": {'."\n"
                .'                    "text": "8. 若 \\\\\\\\(a + b = -1\\\\\\\\), \\\\\\\\(ab = 4\\\\\\\\), 则 \\\\\\\\((4a - 5b - 3ab) - (3a - 6b + ab)\\\\\\\\) 的值为 _ 。",'."\n"
                .'                    "pos_list": ['."\n"
                .'                        ['."\n"
                .'                            21,'."\n"
                .'                            4,'."\n"
                .'                            364,'."\n"
                .'                            4,'."\n"
                .'                            364,'."\n"
                .'                            78,'."\n"
                .'                            21,'."\n"
                .'                            78'."\n"
                .'                        ]'."\n"
                .'                    ]'."\n"
                .'                },'."\n"
                .'                "option": [],'."\n"
                .'                "figure": [],'."\n"
                .'                "answer": ['."\n"
                .'                    {'."\n"
                .'                        "text": "-17",'."\n"
                .'                        "pos_list": ['."\n"
                .'                            ['."\n"
                .'                                225,'."\n"
                .'                                51,'."\n"
                .'                                262,'."\n"
                .'                                51,'."\n"
                .'                                262,'."\n"
                .'                                70,'."\n"
                .'                                225,'."\n"
                .'                                70'."\n"
                .'                            ]'."\n"
                .'                        ]'."\n"
                .'                    }'."\n"
                .'                ],'."\n"
                .'                "type": "填空题",'."\n"
                .'                "subquestion": []'."\n"
                .'            }'."\n"
                .'        }'."\n"
                .'    ]'."\n"
                .'}'."\n"
                .'```',
        ],
        'AnswerSSE' => [
            'summary' => '流式答题解析接口,客户输入需要解答题题目文本或图片,算法会返回题目详细的解答内容。',
            'path' => '/service/answerSSE',
            'methods' => [
                'post',
            ],
            'schemes' => [
                'https',
                'sse',
            ],
            'security' => [
                [
                    'AK' => [],
                ],
            ],
            'consumes' => [
                'application/json',
            ],
            'produces' => [
                'application/octet-stream',
            ],
            'operationType' => 'readAndWrite',
            'deprecated' => false,
            'systemTags' => [
                'operationType' => 'none',
                'riskType' => 'none',
                'chargeType' => 'paid',
                'tenantRelevance' => 'publicInformation',
            ],
            'parameters' => [
                [
                    'name' => 'workspaceId',
                    'in' => 'query',
                    'schema' => [
                        'description' => '当前请求所使用的百炼业务空间 id。',
                        'type' => 'string',
                        'required' => true,
                        'example' => 'llm-1ijrzuv3v0ivvls7',
                    ],
                ],
                [
                    'name' => 'body',
                    'in' => 'body',
                    'style' => 'json',
                    'schema' => [
                        'description' => '请求body。',
                        'type' => 'object',
                        'properties' => [
                            'messages' => [
                                'description' => '多轮对话内容。',
                                'type' => 'array',
                                'items' => [
                                    'type' => 'object',
                                    'properties' => [
                                        'role' => [
                                            'description' => '当前对话的角色。',
                                            'type' => 'string',
                                            'required' => true,
                                            'example' => 'user',
                                            'enum' => [
                                                'user',
                                                'assistant',
                                            ],
                                        ],
                                        'content' => [
                                            'description' => '当前对话内容。',
                                            'type' => 'array',
                                            'items' => [
                                                'description' => '对话内容,可以是文本(text)、图片(image)。',
                                                'type' => 'object',
                                                'required' => false,
                                                'additionalProperties' => [
                                                    'type' => 'string',
                                                    'example' => '{"image": "image-url"}'."\n"
                                                        .'{"text": "回答这个问题"}',
                                                    'description' => '文本或图片链接。',
                                                ],
                                            ],
                                            'required' => false,
                                        ],
                                    ],
                                    'required' => false,
                                ],
                                'required' => false,
                            ],
                            'parameters' => [
                                'description' => '参数配置。',
                                'type' => 'object',
                                'properties' => [
                                    'grade' => [
                                        'description' => '年级,输入为整型数字,可选如下:'."\n"
                                            .'0--学前、'."\n"
                                            .'1--一年级、'."\n"
                                            .'2--二年级、'."\n"
                                            .'3--三年级、'."\n"
                                            .'4--四年级、'."\n"
                                            .'5--五年级、'."\n"
                                            .'6--六年级、'."\n"
                                            .'7--七年级(初一)、'."\n"
                                            .'8--八年级(初二)、'."\n"
                                            .'9--九年级(初三)、'."\n"
                                            .'10--高一、'."\n"
                                            .'11--高二、'."\n"
                                            .'12--高三、'."\n"
                                            .'14--大学一年级、'."\n"
                                            .'15--大学二年级、'."\n"
                                            .'16--大学三年级、'."\n"
                                            .'17--大学四年级、'."\n"
                                            .'99--其他。',
                                        'type' => 'integer',
                                        'format' => 'int32',
                                        'required' => false,
                                        'example' => '6',
                                        'default' => '0',
                                    ],
                                    'stage' => [
                                        'description' => '学段。',
                                        'type' => 'string',
                                        'required' => false,
                                        'example' => 'other',
                                        'default' => 'other',
                                        'enum' => [
                                            'other',
                                            'pre',
                                            'elementary',
                                            'middle',
                                            'high',
                                            'higher',
                                        ],
                                    ],
                                    'subject' => [
                                        'description' => '学科名称。',
                                        'type' => 'string',
                                        'required' => false,
                                        'example' => 'other',
                                        'default' => 'other',
                                        'enum' => [
                                            'other',
                                            'math',
                                            'chinese',
                                            'english',
                                            'physics',
                                            'chemistry',
                                            'biology',
                                            'history',
                                            'geography',
                                            'politics',
                                            'program',
                                        ],
                                    ],
                                ],
                                'required' => false,
                            ],
                        ],
                        'required' => false,
                    ],
                ],
            ],
            'responses' => [
                200 => [
                    'schema' => [
                        'title' => 'Schema of Response',
                        'description' => 'Schema of Response',
                        'type' => 'object',
                        'properties' => [
                            'requestId' => [
                                'description' => '请求id,每次请求都是唯一值,便于后续排查问题。',
                                'type' => 'string',
                                'example' => 'CED92479-FFA7-5B8F-AE6F-C8693BB4941C',
                            ],
                            'success' => [
                                'description' => '调用是否成功。',
                                'type' => 'boolean',
                                'example' => 'True',
                            ],
                            'code' => [
                                'description' => '响应状态码。',
                                'type' => 'string',
                                'example' => 'SUCCESS',
                            ],
                            'httpStatusCode' => [
                                'description' => 'http状态码。',
                                'type' => 'integer',
                                'format' => 'int32',
                                'example' => '200',
                            ],
                            'message' => [
                                'description' => '返回码描述。',
                                'type' => 'string',
                                'example' => 'success',
                            ],
                            'data' => [
                                'description' => '返回结果。',
                                'type' => 'string',
                                'example' => '\'{"message": {"content": [{"text": "### 【考点分析】:\\\\n本题涉及的核心知识点包括代数表达式的简化和代值计算。题目给出了 \\\\\\\\(a + b = -1\\\\\\\\) 和 \\\\\\\\(ab = 4\\\\\\\\) 两个条件,要求我们求解表达式 \\\\\\\\((4a - 5b - 3ab) - (3a - 6b + ab)\\\\\\\\) 的值。这类题目常见于代数基础部分,考查学生对代数式的基本运算和代入法的掌握。\\\\n\\\\n### 【方法点拨】:\\\\n1. **简化表达式**:首先对给定的表达式进行简化,合并同类项。\\\\n2. **代入已知条件**:将 \\\\\\\\(a + b = -1\\\\\\\\) 和 \\\\\\\\(ab = 4\\\\\\\\) 代入简化后的表达式中,进行计算。\\\\n3. **逐步求解**:通过逐步代入和计算,得到最终结果。\\\\n\\\\n### 【详细解析】:\\\\n\\\\n#### 第一步:简化表达式\\\\n表达式为 \\\\\\\\((4a - 5b - 3ab) - (3a - 6b + ab)\\\\\\\\)。\\\\n\\\\n先去掉括号并合并同类项:\\\\n\\\\\\\\[\\\\n(4a - 5b - 3ab) - (3a - 6b + ab) = 4a - 5b - 3ab - 3a + 6b - ab\\\\n\\\\\\\\]\\\\n\\\\n合并同类项:\\\\n\\\\\\\\[\\\\n= (4a - 3a) + (-5b + 6b) + (-3ab - ab) = a + b - 4ab\\\\n\\\\\\\\]\\\\n\\\\n#### 第二步:代入已知条件\\\\n根据题目条件 \\\\\\\\(a + b = -1\\\\\\\\) 和 \\\\\\\\(ab = 4\\\\\\\\),将这些值代入简化后的表达式:\\\\n\\\\\\\\[\\\\na + b - 4ab = -1 - 4 \\\\\\\\times 4 = -1 - 16 = -17\\\\n\\\\\\\\]\\\\n\\\\n#### 第三步:得出最终结果\\\\n因此,表达式的值为 \\\\\\\\(-17\\\\\\\\)。\\\\n\\\\n### 【最终答案】:\\\\n\\\\\\\\(\\\\\\\\boxed{-17}\\\\\\\\) \\\\n\\\\n所以,该表达式的值为 \\\\\\\\(\\\\\\\\boxed{-17}\\\\\\\\)。"}], "role": "assistant"}}\'',
                            ],
                            'finish_reason' => [
                                'description' => '流式输出标志位,用于判断流式输出是否结果,结束时返回stop。',
                                'type' => 'string',
                                'example' => 'stop',
                            ],
                            'input_tokens' => [
                                'description' => '此次调用输入消耗的token数。',
                                'type' => 'integer',
                                'format' => 'int32',
                                'example' => '654',
                            ],
                            'output_tokens' => [
                                'description' => '此次调用输出消耗的token数。',
                                'type' => 'integer',
                                'format' => 'int32',
                                'example' => '457',
                            ],
                        ],
                    ],
                ],
            ],
            'staticInfo' => [
                'returnType' => 'synchronous',
            ],
            'responseDemo' => '[{"errorExample":"","example":"{\\n  \\"requestId\\": \\"CED92479-FFA7-5B8F-AE6F-C8693BB4941C\\",\\n  \\"success\\": true,\\n  \\"code\\": \\"SUCCESS\\",\\n  \\"httpStatusCode\\": 200,\\n  \\"message\\": \\"success\\",\\n  \\"data\\": \\"\'{\\\\\\"message\\\\\\": {\\\\\\"content\\\\\\": [{\\\\\\"text\\\\\\": \\\\\\"### 【考点分析】:\\\\\\\\\\\\\\\\n本题涉及的核心知识点包括代数表达式的简化和代值计算。题目给出了 \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\(a + b = -1\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\) 和 \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\(ab = 4\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\) 两个条件,要求我们求解表达式 \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\((4a - 5b - 3ab) - (3a - 6b + ab)\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\) 的值。这类题目常见于代数基础部分,考查学生对代数式的基本运算和代入法的掌握。\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\n### 【方法点拨】:\\\\\\\\\\\\\\\\n1. **简化表达式**:首先对给定的表达式进行简化,合并同类项。\\\\\\\\\\\\\\\\n2. **代入已知条件**:将 \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\(a + b = -1\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\) 和 \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\(ab = 4\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\) 代入简化后的表达式中,进行计算。\\\\\\\\\\\\\\\\n3. **逐步求解**:通过逐步代入和计算,得到最终结果。\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\n### 【详细解析】:\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\n#### 第一步:简化表达式\\\\\\\\\\\\\\\\n表达式为 \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\((4a - 5b - 3ab) - (3a - 6b + ab)\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\)。\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\n先去掉括号并合并同类项:\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\[\\\\\\\\\\\\\\\\n(4a - 5b - 3ab) - (3a - 6b + ab) = 4a - 5b - 3ab - 3a + 6b - ab\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\]\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\n合并同类项:\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\[\\\\\\\\\\\\\\\\n= (4a - 3a) + (-5b + 6b) + (-3ab - ab) = a + b - 4ab\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\]\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\n#### 第二步:代入已知条件\\\\\\\\\\\\\\\\n根据题目条件 \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\(a + b = -1\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\) 和 \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\(ab = 4\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\),将这些值代入简化后的表达式:\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\[\\\\\\\\\\\\\\\\na + b - 4ab = -1 - 4 \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\times 4 = -1 - 16 = -17\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\]\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\n#### 第三步:得出最终结果\\\\\\\\\\\\\\\\n因此,表达式的值为 \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\(-17\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\)。\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\n### 【最终答案】:\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\(\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\boxed{-17}\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\) \\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\n所以,该表达式的值为 \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\(\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\boxed{-17}\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\)。\\\\\\"}], \\\\\\"role\\\\\\": \\\\\\"assistant\\\\\\"}}\'\\",\\n  \\"finish_reason\\": \\"stop\\",\\n  \\"input_tokens\\": 654,\\n  \\"output_tokens\\": 457\\n}","type":"json"}]',
            'title' => '解题辅导',
            'description' => '开通 EduTutor 服务。本接口在公测阶段,每个账号每天可以免费调用1000次。',
            'responseParamsDescription' => '### 算法结果字段 data'."\n"
                .'+ 需要序列化,字段说明如下:'."\n"
                ."\n"
                .'| 名称 | 类型 | 描述 | 示例值 |'."\n"
                .'|-----|------|-----|-------|'."\n"
                .'| message | array |  |  |'."\n"
                .'| message[0].content | array |  |  |'."\n"
                .'| message[0].content[0].text | string | 大模型解题结果。 | "### 【考点分析】:\\\\n本题涉及的核心知识点包括代数表..." |'."\n"
                .'| message[0].role | string | 角色。 | "assistant" |'."\n"
                ."\n"
                .'举例如下:'."\n"
                .'```'."\n"
                .'{'."\n"
                .'  "message": {'."\n"
                .'      "content": ['."\n"
                .'          {'."\n"
                .'              "text": "### 【考点分析】:\\\\n本题涉及的核心知识点包括代数表达式的简化和代值计算。题目给出了 \\\\\\\\(a + b = -1\\\\\\\\) 和 \\\\\\\\(ab = 4\\\\\\\\) 两个条件,要求我们求解表达式 \\\\\\\\((4a - 5b - 3ab) - (3a - 6b + ab)\\\\\\\\) 的值。这类题目常见于代数基础部分,考查学生对代数式的基本运算和代入法的掌握。\\\\n\\\\n### 【方法点拨】:\\\\n1. **简化表达式**:首先对给定的表达式进行简化,合并同类项。\\\\n2. **代入已知条件**:将 \\\\\\\\(a + b = -1\\\\\\\\) 和 \\\\\\\\(ab = 4\\\\\\\\) 代入简化后的表达式中,进行计算。\\\\n3. **逐步求解**:通过逐步代入和计算,得到最终结果。\\\\n\\\\n### 【详细解析】:\\\\n\\\\n#### 第一步:简化表达式\\\\n表达式为 \\\\\\\\((4a - 5b - 3ab) - (3a - 6b + ab)\\\\\\\\)。\\\\n\\\\n先去掉括号并合并同类项:\\\\n\\\\\\\\[\\\\n(4a - 5b - 3ab) - (3a - 6b + ab) = 4a - 5b - 3ab - 3a + 6b - ab\\\\n\\\\\\\\]\\\\n\\\\n合并同类项:\\\\n\\\\\\\\[\\\\n= (4a - 3a) + (-5b + 6b) + (-3ab - ab) = a + b - 4ab\\\\n\\\\\\\\]\\\\n\\\\n#### 第二步:代入已知条件\\\\n根据题目条件 \\\\\\\\(a + b = -1\\\\\\\\) 和 \\\\\\\\(ab = 4\\\\\\\\),将这些值代入简化后的表达式:\\\\n\\\\\\\\[\\\\na + b - 4ab = -1 - 4 \\\\\\\\times 4 = -1 - 16 = -17\\\\n\\\\\\\\]\\\\n\\\\n#### 第三步:得出最终结果\\\\n因此,表达式的值为 \\\\\\\\(-17\\\\\\\\)。\\\\n\\\\n### 【最终答案】:\\\\n\\\\\\\\(\\\\\\\\boxed{-17}\\\\\\\\) \\\\n\\\\n所以,该表达式的值为 \\\\\\\\(\\\\\\\\boxed{-17}\\\\\\\\)。"'."\n"
                .'          }'."\n"
                .'      ],'."\n"
                .'      "role": "assistant"'."\n"
                .'  }'."\n"
                .'}'."\n"
                .'```',
        ],
    ],
    'endpoints' => [
        [
            'regionId' => 'cn-hangzhou',
            'endpoint' => 'edututor.cn-hangzhou.aliyuncs.com',
        ],
    ],
];