From e8acf16ed673542c2ef33933a85f2759ba1358ce Mon Sep 17 00:00:00 2001 From: Ash Date: Sat, 3 Feb 2024 01:19:40 +0800 Subject: [PATCH] =?UTF-8?q?add=20=E9=AB=98=E6=95=B0=E7=9F=A5=E8=AF=86?= =?UTF-8?q?=E6=A1=86=E6=9E=B6?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../\345\244\247\347\272\262.png" | Bin 0 -> 2249447 bytes src/content/blog/2024.02.01.md | 2 +- ...45\350\257\206\346\241\206\346\236\266.md" | 65 ++++++++++++++++++ 3 files changed, 66 insertions(+), 1 deletion(-) create mode 100644 "src/assets/images/\351\253\230\346\225\260/\345\244\247\347\272\262.png" create mode 100644 "src/content/blog/\351\253\230\346\225\260/\347\237\245\350\257\206\346\241\206\346\236\266.md" diff --git "a/src/assets/images/\351\253\230\346\225\260/\345\244\247\347\272\262.png" "b/src/assets/images/\351\253\230\346\225\260/\345\244\247\347\272\262.png" new file mode 100644 index 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a/src/content/blog/2024.02.01.md b/src/content/blog/2024.02.01.md index 2dea3a6..3b28cbe 100644 --- a/src/content/blog/2024.02.01.md +++ b/src/content/blog/2024.02.01.md @@ -41,7 +41,7 @@ description: 考研的第一天 1. 书 - 《李永乐复习全书基础篇》 2. 视频 - - [高等数学-武忠祥]() + - [高等数学-武忠祥](https://www.youtube.com/playlist?list=PLH_SiDrNHIUSMXnfNVzGydNZi1hVduhUb) - [线性代数-李永乐](https://www.youtube.com/playlist?list=PLH_SiDrNHIUReWB-TWfhJqjjNzC20HXg9) (2/27) - [概率论与数理统计-王式安]() diff --git "a/src/content/blog/\351\253\230\346\225\260/\347\237\245\350\257\206\346\241\206\346\236\266.md" "b/src/content/blog/\351\253\230\346\225\260/\347\237\245\350\257\206\346\241\206\346\236\266.md" new file mode 100644 index 0000000..995b515 --- /dev/null +++ "b/src/content/blog/\351\253\230\346\225\260/\347\237\245\350\257\206\346\241\206\346\236\266.md" @@ -0,0 +1,65 @@ +--- +title: 高数(微积分)的知识框架 +author: Ash +pubDatetime: 2024-02-02T24:00:00Z +postSlug: "20240202" +featured: false +draft: false +tags: + - 考研 + - 高数 +description: 整体的知识框架 +--- + +# 高数(微积分) +## 知识框架 +![知识框架](/src/assets/images/高数/大纲.png) +## 重点 +- **一元函数微积分**(全部) + > 基础/重点/难点 +- 多元函数 + - 全微分 +## 年年考 +- 一元函数 + - 极限(分值高) + - 导数 +- 微分方程 + > 欧拉方程,要求,考过两次 + +## 难题 +- 一元函数微积分 +> 多数难题在一元微积分 + - 微分 + - 极限 + > 递推关系定义的数列极限 + - 微分中值定理及相关的证明题 (难点/重点) + - 积分 + - 定积分 +- 多元函数微积分 + - 积分 + - 重积分 +- 无穷级数 + - 常数项级数 + - 常数项级数的敛散性的证明题 + - 幂级数 + - 幂级数的求和(重点/难点) +## 没考过 +- 多元函数 + - 重极限 +- 空间解析几何和向量代数 + > 多元微积分的基础,近10年没有专门出题考,顺带考,只需要学基础 +## 不做要求 +- 近似计算 +- \* 号内容,大部分不要求 + +## 内容 +> 数学要学懂,不只是记住。 +- 一元微积分 + - 可导 -> 连续, ~~连续 -> 可导~~ + - 可导和可微是等价的 + - 导数来研究函数的极限--洛必达法则 + - 导数来函数单调性 +- 多元微积分 + - ~~可导 -> 连续~~,~~连续 -> 可导~~ + - 可微 -> 可导,~~可导 -> 可微~~ + - 没有函数单调性的概念