{"action":"created","issue":{"url":"https://api.github.com/repos/czas09/tracking-my-learning-progress/issues/3","repository_url":"https://api.github.com/repos/czas09/tracking-my-learning-progress","labels_url":"https://api.github.com/repos/czas09/tracking-my-learning-progress/issues/3/labels{/name}","comments_url":"https://api.github.com/repos/czas09/tracking-my-learning-progress/issues/3/comments","events_url":"https://api.github.com/repos/czas09/tracking-my-learning-progress/issues/3/events","html_url":"https://github.com/czas09/tracking-my-learning-progress/issues/3","id":351057086,"node_id":"MDU6SXNzdWUzNTEwNTcwODY=","number":3,"title":"中值定理及其相关问题","user":{"login":"czas09","id":13881068,"node_id":"MDQ6VXNlcjEzODgxMDY4","avatar_url":"https://avatars0.githubusercontent.com/u/13881068?v=4","gravatar_id":"","url":"https://api.github.com/users/czas09","html_url":"https://github.com/czas09","followers_url":"https://api.github.com/users/czas09/followers","following_url":"https://api.github.com/users/czas09/following{/other_user}","gists_url":"https://api.github.com/users/czas09/gists{/gist_id}","starred_url":"https://api.github.com/users/czas09/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/czas09/subscriptions","organizations_url":"https://api.github.com/users/czas09/orgs","repos_url":"https://api.github.com/users/czas09/repos","events_url":"https://api.github.com/users/czas09/events{/privacy}","received_events_url":"https://api.github.com/users/czas09/received_events","type":"User","site_admin":false},"labels":[{"id":1023574252,"node_id":"MDU6TGFiZWwxMDIzNTc0MjUy","url":"https://api.github.com/repos/czas09/tracking-my-learning-progress/labels/%E8%AF%81%E6%98%8E%E9%A2%98","name":"证明题","color":"9ea8f7","default":false},{"id":1025809781,"node_id":"MDU6TGFiZWwxMDI1ODA5Nzgx","url":"https://api.github.com/repos/czas09/tracking-my-learning-progress/labels/%E9%87%8D%E8%A6%81","name":"重要","color":"f4536b","default":false}],"state":"open","locked":false,"assignee":null,"assignees":[],"milestone":null,"comments":0,"created_at":"2018-08-16T05:07:48Z","updated_at":"2018-08-16T05:14:06Z","closed_at":null,"author_association":"OWNER","body":"#   基本知识点\r\n\r\n##  闭区间上连续函数的几个定理\r\n\r\n### 有界性定理\r\n\r\n### 最值定理\r\n\r\n### 介值定理\r\n\r\n### 平均值定理\r\n\r\n*   内容\r\n*   证明\r\n\r\n### 零点定理\r\n\r\n##  微分中值定理\r\n\r\n### 费马定理\r\n\r\n*   内容\r\n*   证明\r\n*   驻点的概念\r\n*   可导条件下极值点的必要条件\r\n\r\n### 罗尔定理\r\n\r\n*   内容\r\n*   证明\r\n\r\n### 拉格朗日中值定理\r\n\r\n*   内容\r\n*   证明\r\n*   公式的三种写法。常用形式？\r\n\r\n### 柯西中值定理\r\n\r\n*   内容\r\n*   证明\r\n*   可用于证明洛必达法则，如何证明？\r\n\r\n### 泰勒定理\r\n\r\n*   带拉格朗日余项的泰勒公式\r\n    *   条件、余项、适用场景\r\n    *   麦克劳林公式\r\n    *   与拉格朗日中值定理公式的关系\r\n    *   联系函数的微分和增量的关系\r\n*   带皮亚诺余项的泰勒公式\r\n    *   条件、余项、适用场景\r\n\r\n##  积分中值定理\r\n\r\n### 积分第一中值定理\r\n\r\n*   内容\r\n*   证明\r\n*   退化态\r\n*   退化态的证明\r\n*   退化态的几何含义\r\n\r\n### 积分第二中值定理\r\n\r\n*   内容\r\n*   证明\r\n*   退化态\r\n*   退化态的证明\r\n*   退化态的几何含义\r\n\r\n- - - - -\r\n\r\n【待整理】\r\n\r\n另有汤家凤老师对中值定理问题做的讲解\r\n\r\n*   内容：\r\n    *   中值定理的推广及证明：导数零点定理、导数介值定理、积分中值定理等\r\n    *   中值定理小节题型的整理\r\n*   来源：\r\n    *   汤家凤老师 14 年强化笔记"},"comment":{"url":"https://api.github.com/repos/czas09/tracking-my-learning-progress/issues/comments/413428137","html_url":"https://github.com/czas09/tracking-my-learning-progress/issues/3#issuecomment-413428137","issue_url":"https://api.github.com/repos/czas09/tracking-my-learning-progress/issues/3","id":413428137,"node_id":"MDEyOklzc3VlQ29tbWVudDQxMzQyODEzNw==","user":{"login":"czas09","id":13881068,"node_id":"MDQ6VXNlcjEzODgxMDY4","avatar_url":"https://avatars0.githubusercontent.com/u/13881068?v=4","gravatar_id":"","url":"https://api.github.com/users/czas09","html_url":"https://github.com/czas09","followers_url":"https://api.github.com/users/czas09/followers","following_url":"https://api.github.com/users/czas09/following{/other_user}","gists_url":"https://api.github.com/users/czas09/gists{/gist_id}","starred_url":"https://api.github.com/users/czas09/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/czas09/subscriptions","organizations_url":"https://api.github.com/users/czas09/orgs","repos_url":"https://api.github.com/users/czas09/repos","events_url":"https://api.github.com/users/czas09/events{/privacy}","received_events_url":"https://api.github.com/users/czas09/received_events","type":"User","site_admin":false},"created_at":"2018-08-16T05:14:06Z","updated_at":"2018-08-16T05:14:06Z","author_association":"OWNER","body":"#   扩展知识点\r\n\r\n##  导数零点定理\r\n\r\n*   内容\r\n*   证明\r\n\r\n##  导数介值定理\r\n\r\n*   内容\r\n*   证明\r\n\r\n"}}
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