\(\newcommand{\footnotename}{footnote}\)
\(\def \LWRfootnote {1}\)
\(\newcommand {\footnote }[2][\LWRfootnote ]{{}^{\mathrm {#1}}}\)
\(\newcommand {\footnotemark }[1][\LWRfootnote ]{{}^{\mathrm {#1}}}\)
\(\let \LWRorighspace \hspace \)
\(\renewcommand {\hspace }{\ifstar \LWRorighspace \LWRorighspace }\)
\(\newcommand {\TextOrMath }[2]{#2}\)
\(\newcommand {\mathnormal }[1]{{#1}}\)
\(\newcommand \ensuremath [1]{#1}\)
\(\newcommand {\LWRframebox }[2][]{\fbox {#2}} \newcommand {\framebox }[1][]{\LWRframebox } \)
\(\newcommand {\setlength }[2]{}\)
\(\newcommand {\addtolength }[2]{}\)
\(\newcommand {\setcounter }[2]{}\)
\(\newcommand {\addtocounter }[2]{}\)
\(\newcommand {\arabic }[1]{}\)
\(\newcommand {\number }[1]{}\)
\(\newcommand {\noalign }[1]{\text {#1}\notag \\}\)
\(\newcommand {\cline }[1]{}\)
\(\newcommand {\directlua }[1]{\text {(directlua)}}\)
\(\newcommand {\luatexdirectlua }[1]{\text {(directlua)}}\)
\(\newcommand {\protect }{}\)
\(\def \LWRabsorbnumber #1 {}\)
\(\def \LWRabsorbquotenumber "#1 {}\)
\(\newcommand {\LWRabsorboption }[1][]{}\)
\(\newcommand {\LWRabsorbtwooptions }[1][]{\LWRabsorboption }\)
\(\def \mathchar {\ifnextchar "\LWRabsorbquotenumber \LWRabsorbnumber }\)
\(\def \mathcode #1={\mathchar }\)
\(\let \delcode \mathcode \)
\(\let \delimiter \mathchar \)
\(\def \oe {\unicode {x0153}}\)
\(\def \OE {\unicode {x0152}}\)
\(\def \ae {\unicode {x00E6}}\)
\(\def \AE {\unicode {x00C6}}\)
\(\def \aa {\unicode {x00E5}}\)
\(\def \AA {\unicode {x00C5}}\)
\(\def \o {\unicode {x00F8}}\)
\(\def \O {\unicode {x00D8}}\)
\(\def \l {\unicode {x0142}}\)
\(\def \L {\unicode {x0141}}\)
\(\def \ss {\unicode {x00DF}}\)
\(\def \SS {\unicode {x1E9E}}\)
\(\def \dag {\unicode {x2020}}\)
\(\def \ddag {\unicode {x2021}}\)
\(\def \P {\unicode {x00B6}}\)
\(\def \copyright {\unicode {x00A9}}\)
\(\def \pounds {\unicode {x00A3}}\)
\(\let \LWRref \ref \)
\(\renewcommand {\ref }{\ifstar \LWRref \LWRref }\)
\( \newcommand {\multicolumn }[3]{#3}\)
\(\require {textcomp}\)
\(\newcommand {\intertext }[1]{\text {#1}\notag \\}\)
\(\let \Hat \hat \)
\(\let \Check \check \)
\(\let \Tilde \tilde \)
\(\let \Acute \acute \)
\(\let \Grave \grave \)
\(\let \Dot \dot \)
\(\let \Ddot \ddot \)
\(\let \Breve \breve \)
\(\let \Bar \bar \)
\(\let \Vec \vec \)
\(\require {mathtools}\)
\(\newcommand {\vcentcolon }{\mathrel {\unicode {x2236}}}\)
\(\newcommand {\approxcolon }{\approx \vcentcolon }\)
\(\newcommand {\Approxcolon }{\approx \dblcolon }\)
\(\newcommand {\simcolon }{\sim \vcentcolon }\)
\(\newcommand {\Simcolon }{\sim \dblcolon }\)
\(\newcommand {\dashcolon }{\mathrel {-}\vcentcolon }\)
\(\newcommand {\Dashcolon }{\mathrel {-}\dblcolon }\)
\(\newcommand {\colondash }{\vcentcolon \mathrel {-}}\)
\(\newcommand {\Colondash }{\dblcolon \mathrel {-}}\)
\(\newenvironment {crampedsubarray}[1]{}{}\)
\(\newcommand {\smashoperator }[2][]{#2\limits }\)
\(\newcommand {\SwapAboveDisplaySkip }{}\)
\(\newcommand {\LaTeXunderbrace }[1]{\underbrace {#1}}\)
\(\newcommand {\LaTeXoverbrace }[1]{\overbrace {#1}}\)
\(\Newextarrow \xLongleftarrow {10,10}{0x21D0}\)
\(\Newextarrow \xLongrightarrow {10,10}{0x21D2}\)
\(\let \xlongleftarrow \xleftarrow \)
\(\let \xlongrightarrow \xrightarrow \)
\(\newcommand {\LWRmultlined }[1][]{\begin {multline*}}\)
\(\newenvironment {multlined}[1][]{\LWRmultlined }{\end {multline*}}\)
\(\let \LWRorigshoveleft \shoveleft \)
\(\renewcommand {\shoveleft }[1][]{\LWRorigshoveleft }\)
\(\let \LWRorigshoveright \shoveright \)
\(\renewcommand {\shoveright }[1][]{\LWRorigshoveright }\)
\(\newcommand {\shortintertext }[1]{\text {#1}\notag \\}\)
\(\newcommand {\toprule }[1][]{\hline }\)
\(\let \midrule \toprule \)
\(\let \bottomrule \toprule \)
\(\def \LWRbooktabscmidruleparen (#1)#2{}\)
\(\newcommand {\LWRbooktabscmidrulenoparen }[1]{}\)
\(\newcommand {\cmidrule }[1][]{\ifnextchar (\LWRbooktabscmidruleparen \LWRbooktabscmidrulenoparen }\)
\(\newcommand {\morecmidrules }{}\)
\(\newcommand {\specialrule }[3]{\hline }\)
\(\newcommand {\addlinespace }[1][]{}\)
A 索引
知识点
-
• MATH1-CALC-0001:由 \(f\left (u+\frac {1}{u}\right )\) 反求 \(f(x)\)。章
节:高等数学第 1 讲函数极限与连续;来源:用户图片 / 教材例 1.1;难度:基础;状态:已整理。
-
• MATH1-CALC-0002:由含 \(f(x)\) 与 \(f\left (\frac {1}{x}\right )\) 的关系式求
\(f(x)\)。章节:高等数学第 1 讲函数极限与连续;来源:用户图片 / 教材例 1.2;难度:基础;状态:已整理。
-
• MATH1-CALC-0003:求 \(y=\ln \left (x+\sqrt {x^2+1}\right )\) 的反函数。章节:高等数
学第 1 讲函数极限与连续;来源:用户图片 / 教材例 1.3;难度:基础;状态:已整理。
-
• MATH1-CALC-0004:由 \(f[\varphi (x)]\) 反求 \(\varphi (x)\) 及定义域和值域。章节:高等数学第 1 讲
函数极限与连续;来源:用户图片 / 教材例 1.4;难度:基础;状态:已整理。
-
• MATH1-CALC-0005:分段函数复合求 \(g[f(x)]\)。章节:高等数学第 1 讲函数极限与连续;来源:用户图片 / 教
材例 1.5;难度:基础;状态:已整理。
-
• MATH1-CALC-0006:证明 \(f(x)=\frac {x}{1+x^2}\) 在全体实数上有界。章节:高等数学第 1 讲函数极限与连续;来
源:用户图片 / 教材例 1.6;难度:基础;状态:已整理。
-
• MATH1-CALC-0007:由严格递增条件判断 \(-f(-x)\) 一定单调增加。章节:高等数学第 1 讲函数极限与连续;来源:用户
图片 / 教材例 1.7;难度:中等;状态:已整理。
-
• MATH1-CALC-0008:由 \(f(x+y)=f(x)+f(y)\) 证明 \(f(x)\) 是奇函数。章节:高等数学第 1 讲函数极限与连续;来源:用户图
片 / 教材例 1.8;难度:基础;状态:已整理。
-
• MATH1-CALC-0009:由 \(f(x)=f(x-\pi )+\sin x\) 证明 \(2\pi \) 为周期。章节:高等数学第 1 讲函数极限与连续;
来源:用户图片 / 教材例 1.9;难度:基础;状态:已整理。
-
• MATH1-CALC-0010:有界性放缩练习组。章节:高等数学第 1 讲函数极限与连续;来源:用户要求生成 / 放缩练
习;难度:基础到中等;状态:已整理。