From 0aa06cc8d5bfeef3362447ad45fb36ed0992781e Mon Sep 17 00:00:00 2001 From: silvermilight <52785233+rzm0572@users.noreply.github.com> Date: Sun, 25 Feb 2024 23:40:28 +0800 Subject: [PATCH] =?UTF-8?q?docs:=20=E6=9B=B4=E6=96=B0=E7=A8=8B=E7=AE=97?= =?UTF-8?q?=E5=AD=A6=E4=B9=A0=E5=BB=BA=E8=AE=AE=EF=BC=8C=E4=BF=AE=E5=A4=8D?= =?UTF-8?q?=2023=20=E7=BA=A7=E6=95=B0=E5=88=86=E4=B8=80=E6=9C=9F=E6=9C=AB?= =?UTF-8?q?=E7=AD=94=E6=A1=88=20(#162)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- docs/major_basic/programming/index.md | 4 ++-- ...6\345\215\267\350\247\243\347\255\224.pdf" | Bin 120543 -> 466799 bytes ...6\345\215\267\350\247\243\347\255\224.tex" | 6 +++--- 3 files changed, 5 insertions(+), 5 deletions(-) diff --git a/docs/major_basic/programming/index.md b/docs/major_basic/programming/index.md index 35517212..0e4149a3 100644 --- a/docs/major_basic/programming/index.md +++ b/docs/major_basic/programming/index.md @@ -97,7 +97,7 @@ abbrs: ### 第 2 级【超前学习建议(仅适用于学的不错的竞赛生)】 -各位对自己实力有信息的竞赛生可以选择提前修读数据结构基础(培养方案中是应于大二秋冬修读),其中内容大概包括时空复杂性、堆栈、队列、树、图、链表、排序。当然如果对自己实力不够自信也可以按照最正常的方案大二再学,超前学习只是可以方便各位大二空出时间选择其他有意思的课程。如果学到一半想放弃也可以期中弃修课程。 +各位对自己实力有信息的竞赛生可以选择提前修读数据结构基础(培养方案中是应于大一春夏修读),其中内容大概包括时空复杂性、堆栈、队列、树、图、链表、排序。当然如果对自己实力不够自信也可以按照最正常的方案大一春夏学期再学,超前学习只是可以方便各位大一春夏学期空出时间选择其他有意思的课程。如果学到一半想放弃也可以期中弃修课程。 ## 课外拓展 -身为图灵班的学生,如果你仔细研究了培养方案你会发现在整个大一几乎没有多少要与计算机打交道的课程(仅有程算、汇编语言、计算机系统,后两门仅为信安必修)而且据笔者了解,许多同学到大二大三对计算机的了解仍然仅限于课上所学,受制于各种原因,无论是理论知识还是实践能力远没有达到计算机学生应有的水平。笔者建议有空仔细阅读我们学长组所写的 [如何让自己看上去、闻上去都像一个 CS 人](https://turing2022.tonycrane.cc/cser/) 以及参考 [CS 自学指南](https://csdiy.wiki/) 尽早地走上正途。 +身为图灵班的学生,如果你仔细研究了培养方案你会发现在整个大一几乎没有多少要与计算机打交道的课程(仅有程算、数据结构基础、系统I / 计逻,以及选修的汇编语言)。而且据笔者了解,许多同学到大二大三对计算机的了解仍然仅限于课上所学,受制于各种原因,无论是理论知识还是实践能力远没有达到计算机学生应有的水平。笔者建议有空仔细阅读我们学长组所写的 [如何让自己看上去、闻上去都像一个 CS 人](https://turing2022.tonycrane.cc/cser/) ,学习 [竺院辅学计划网站](https://ckc-agc.bowling233.top/) 上的实用技能拾遗和系统知识拾遗,或者参考 [CS 自学指南](https://csdiy.wiki/) ,尽早地走上正途。 diff --git 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"b/docs/math_phys/math_analysis1/\346\225\260\345\255\246\345\210\206\346\236\220\357\274\210\347\224\262\357\274\211I\357\274\210H\357\274\2112023\347\247\213\345\206\254\346\234\237\346\234\253\345\233\236\345\277\206\345\215\267\350\247\243\347\255\224.tex" index 1762f56f..9b18adc1 100644 --- "a/docs/math_phys/math_analysis1/\346\225\260\345\255\246\345\210\206\346\236\220\357\274\210\347\224\262\357\274\211I\357\274\210H\357\274\2112023\347\247\213\345\206\254\346\234\237\346\234\253\345\233\236\345\277\206\345\215\267\350\247\243\347\255\224.tex" +++ "b/docs/math_phys/math_analysis1/\346\225\260\345\255\246\345\210\206\346\236\220\357\274\210\347\224\262\357\274\211I\357\274\210H\357\274\2112023\347\247\213\345\206\254\346\234\237\346\234\253\345\233\236\345\277\206\345\215\267\350\247\243\347\255\224.tex" @@ -12,7 +12,7 @@ \title{23-24 秋冬数分期末参考答案} \author{silvermilight} -\date{\today} +\date{2024 年 1 月 27 日} \begin{document} @@ -154,9 +154,9 @@ \section{(10 points)} &= x \left(\int_{-1}^x e^{t^2}\dd{t} - \int_x^1 e^{t^2}\dd{t} \right) + e - e^{x^2} \end{align*} - 求导可得 $f'(x) = \displaystyle\int_{-1}^x e^{t^2}\dd{t} - \int_x^1 e^{t^2}\dd{t},\quad f''(x)=2e^{x^2}>0$,故 $f(x)$ 单调递增. + 求导可得 $f'(x) = \displaystyle\int_{-1}^x e^{t^2}\dd{t} - \int_x^1 e^{t^2}\dd{t},\quad f''(x)=2e^{x^2}>0$,故 $f'(x)$ 单调递增. - 由 $y=e^{x^2}$ 为偶函数,知 $f'(0)=0$,故 $f(x)$ 在 $[-1,0]$ 上单调递减,在 $[0,1]$ 上单调递增,在 $x=0$ 处取得最小值 $e-1$. + 由 $f''(x)=2e^{x^2}$ 为偶函数,知 $f'(0)=0$,故 $f(x)$ 在 $[-1,0]$ 上单调递减,在 $[0,1]$ 上单调递增,在 $x=0$ 处取得最小值 $e-1$. \end{enumerate} 由于 $\displaystyle\int_{-1}^1 e^{t^2} \dd{t} = 2\int_0^1 e^{t^2} \dd{t} > 2\int_0^1 te^{t^2} \dd{t} = e-1$,故 $e-1$ 为 $f(x)$ 在 $\mathbb{R}$ 上的最小值.