From e0c6872cf40896c7be36b11dcc744620f10adf1d Mon Sep 17 00:00:00 2001 From: Norbert Preining Date: Mon, 2 Sep 2019 13:46:59 +0900 Subject: Initial commit --- macros/latex/contrib/bhcexam/BHCexam.dtx | 859 +++++++++++++++++++++++++++++++ macros/latex/contrib/bhcexam/BHCexam.ins | 107 ++++ macros/latex/contrib/bhcexam/Makefile | 88 ++++ macros/latex/contrib/bhcexam/README | 21 + macros/latex/contrib/bhcexam/test1.tex | 143 +++++ macros/latex/contrib/bhcexam/test2.tex | 144 ++++++ macros/latex/contrib/bhcexam/test3.tex | 144 ++++++ macros/latex/contrib/bhcexam/test4.tex | 144 ++++++ 8 files changed, 1650 insertions(+) create mode 100644 macros/latex/contrib/bhcexam/BHCexam.dtx create mode 100644 macros/latex/contrib/bhcexam/BHCexam.ins create mode 100644 macros/latex/contrib/bhcexam/Makefile create mode 100644 macros/latex/contrib/bhcexam/README create mode 100644 macros/latex/contrib/bhcexam/test1.tex create mode 100644 macros/latex/contrib/bhcexam/test2.tex create mode 100644 macros/latex/contrib/bhcexam/test3.tex create mode 100644 macros/latex/contrib/bhcexam/test4.tex (limited to 'macros/latex/contrib/bhcexam') diff --git a/macros/latex/contrib/bhcexam/BHCexam.dtx b/macros/latex/contrib/bhcexam/BHCexam.dtx new file mode 100644 index 0000000000..019d74cba0 --- /dev/null +++ b/macros/latex/contrib/bhcexam/BHCexam.dtx @@ -0,0 +1,859 @@ +% \iffalse meta-comment +% +% Copyright (C) 2014 by Charles Bao +% +% This file is part of the BHCexam package project. +% --------------------------------------------------- +% +% It may be distributed under the conditions of the LaTeX Project Public +% License, either version 1.2 of this license or (at your option) any +% later version. The latest version of this license is in +% http://www.latex-project.org/lppl.txt +% and version 1.2 or later is part of all distributions of LaTeX +% version 1999/12/01 or later. +% +%<*!(cfg|fd)> +% \fi +% +%% \CharacterTable +%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z +%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z +%% Digits \0\1\2\3\4\5\6\7\8\9 +%% Exclamation \! Double quote \" Hash (number) \# +%% Dollar \$ Percent \% Ampersand \& +%% Acute accent \' Left paren \( Right paren \) +%% Asterisk \* Plus \+ Comma \, +%% Minus \- Point \. Solidus \/ +%% Colon \: Semicolon \; Less than \< +%% Equals \= Greater than \> Question mark \? +%% Commercial at \@ Left bracket \[ Backslash \\ +%% Right bracket \] Circumflex \^ Underscore \_ +%% Grave accent \` Left brace \{ Vertical bar \| +%% Right brace \} Tilde \~} +%% +% +% \CheckSum{0} +% +% \iffalse meta-comment +% +% +%<*driver> +\ProvidesFile{BHCexam.dtx} +% +% +%\NeedsTeXFormat{LaTeX2e}[1995/12/01] +%\ProvidesClass{BHCexam} +%\ProvidesFile{BHCexam.cfg} + [2015/10/10 v0.4 BHCexam +% document class] +% configuration file] +% +%<*driver> + bundle source file] +% +% +%<*driver> +\documentclass[a4paper]{ltxdoc} +\usepackage{ctex} +\usepackage{hyperref} +\usepackage{amsmath,amssymb} + \topmargin 0.5 true cm + \oddsidemargin 1 true cm + \evensidemargin 1 true cm + \textheight 21 true cm + \textwidth 14 true cm +\EnableCrossrefs + %\DisableCrossrefs % Say \DisableCrossrefs if index is ready +\CodelineIndex +\RecordChanges % Gather update information + %\OnlyDescription % comment out for implementation details + %\OldMakeindex % use if your MakeIndex is pre-v2.9 +\hypersetup{colorlinks,linkcolor=blue,citecolor=blue} +\begin{document} + \DocInput{BHCexam.dtx} +\end{document} +% +% +% \fi +% +% +% \changes{v0.0}{2011/07/22}{Initial version} +% \changes{v0.1}{2011/07/23}{version 0.1} +% \changes{v0.2}{2011/07/27}{version 0.2} +% \changes{v0.3}{2014/02/18}{version 0.3} +% \changes{v0.3}{2015/10/10}{version 0.4} +% +% +% \DoNotIndex{\begin,\end,\begingroup,\endgroup} +% \DoNotIndex{\ifx,\ifdim,\ifnum,\ifcase,\else,\or,\fi} +% \DoNotIndex{\let,\def,\xdef,\newcommand,\renewcommand} +% \DoNotIndex{\expandafter,\csname,\endcsname,\relax,\protect} +% \DoNotIndex{\Huge,\huge,\LARGE,\Large,\large,\normalsize} +% \DoNotIndex{\small,\footnotesize,\scriptsize,\tiny} +% \DoNotIndex{\normalfont,\bfseries,\slshape,\interlinepenalty} +% \DoNotIndex{\hfil,\par,\vskip,\vspace,\quad} +% \DoNotIndex{\centering,\raggedright} +% \DoNotIndex{\c@secnumdepth,\@startsection,\@setfontsize} +% \DoNotIndex{\ ,\@plus,\@minus,\p@,\z@,\@m,\@M,\@ne,\m@ne} +% \DoNotIndex{\@@par} +% +% +% \GetFileInfo{BHCexam.dtx} +% +% +% \MakeShortVerb{\|} +% \setcounter{StandardModuleDepth}{1} +% +% +% \newcommand{\ctex}{\texttt{ctex}} +% \newcommand{\BHCexam}{\texttt{BHCexam}} +% \newcommand{\exam}{\texttt{exam}} +% \newcommand{\colin}{\texttt{colinexam}} +% +% +% \setlength{\parskip}{0.75ex plus .2ex minus .5ex} +% \renewcommand{\baselinestretch}{1.2} +% +% \makeatletter +% \def\parg#1{\mbox{$\langle${\it #1\/}$\rangle$}} +% \def\@smarg#1{{\tt\string{}\parg{#1}{\tt\string}}} +% \def\@marg#1{{\tt\string{}{\rm #1}{\tt\string}}} +% \def\marg{\@ifstar\@smarg\@marg} +% \def\@soarg#1{{\tt[}\parg{#1}{\tt]}} +% \def\@oarg#1{{\tt[}{\rm #1}{\tt]}} +% \def\oarg{\@ifstar\@soarg\@oarg} +% \makeatother +% +% +% \title{\bf \BHCexam~宏包说明\thanks +% {这是鲍宏昌发布的第一个~\LaTeX~宏包。本文件版本号为~\fileversion{},最后修改日期~\filedate{}。}} +% \author{\it 鲍宏昌\thanks{charley792@gmail.com}} +% \date{\small 打印日期:~\today} +% \maketitle +% +% \begin{abstract} +% \BHCexam~宏包提供了一个中学试卷排版的~\LaTeX{}~文档类。 +% +% \BHCexam~主要文件包括~\texttt{BHCexam.cls}~文档类和配置文件 +% ~\texttt{BHCexam.cfg}。 +% +% \BHCexam~宏包由鲍宏昌制作并负责维护。 +% \end{abstract} +% +% \tableofcontents +% \newpage +% +% \section{简介} +% +% 本宏包以~\exam~为底层文档类,部分源代码来自于盖鹤麟开发的 +% ~\colin。不知道什么原因盖鹤麟自2004年就一直没有发布更新, +% ~\colin~仍然使用CCT实现中文支持,而缺乏对~XeTeX~的支持。2011年7月, +% 鲍宏昌在~\colin~的基础上改用~\ctex~实现中文支持,采用UTF8编码同时 +% 支持~XeLaTeX~和~pdfTeX~进行编译,并使用~\texttt{doc}~和 +% ~\texttt{docstrip}~工具编写了这个文档,增加了一些新的功能, +% 并把新的宏包命名为~\BHCexam。 +% +% 本宏包延续了~\colin~和~\exam~的特点,能让一个刚刚接触 +% ~\LaTeX~的初学者,也能轻松用它来排版试卷。希望~\BHCexam~能提高中学 +% 教师的工作效率,并把注意力放在试卷的内容上。 +% +% \BHCexam~由两个主要文件构成:文档类~\texttt{BHCexam.cls}~和配置文件 +% ~\texttt{BHCexam.cfg}~。后者定义了一些常用的参数。 +% +% {\kaishu +% 这两个文件可以通过用~XeLaTeX~编译~\texttt{BHCexam.ins}~文件来得到, +% 而这份说明文档可以通过用~XeLaTeX~编译~\texttt{BHCexam.dtx}~文件来得到。 +% 编译说明文档需要~\ctex{}~宏包,为了生成正确的索引和版本记录, +% 需要使用如下命令} +% \begin{verbatim} +% makeindex -s gind.ist -o BHCexam.ind BHCexam.idx +% makeindex -s gglo.ist -o BHCexam.gls BHCexam.glo +% \end{verbatim} +% +% \section{一个简单的例子} +% +% 用~\BHCexam~要排版一张基本的试卷其实很简单。如果你准备对试卷的排版进行 +% 更细致的设置,那么请参考~\exam~的文档。 +% +% \subsection{\texttt{documentclass} 命令} +% \label{sec:BasicDocumentclass} +% +% 要使用~\BHCexam~文档类,你的\verb"\documentclass" 命令应该是 +% \begin{verbatim} +% \documentclass{BHCexam} +% \end{verbatim} +% 如果,你想使用小四字体作为缺省字体大小,那么添加选项\verb"cs4size" +% \begin{verbatim} +% \documentclass[cs4size]{BHCexam} +% \end{verbatim} +% 更多的选项,请参考\ref{sec:Options}。 +% +% \subsection{打印标题和考试须知} +% \DescribeMacro{\maketitle} +% \DescribeMacro{\notice} +% 在试卷上打印标题和考试须知 +% \begin{verbatim} +% \maketitle +% \notice +% \end{verbatim} +% 关于标题和考试须知中变量的设置,请参考\ref{sec:Variable}。 +% +% \subsection{题目} +% \label{sec:Example} +% \DescribeMacro{\question} +% \DescribeMacro{\stk} +% \DescribeMacro{\onech} +% \DescribeMacro{\part} +% 在\verb"questions"环境中用\verb"\question"输入题目。 +% 在\verb"parts"环境中用\verb"\part"输入大题的小问。 +% 用\verb"\stk"、\verb"\mtk" +% 和\verb"\ltk"输入填空题的答案。 +% 用\verb"\onech"、\verb"\twoch" +% 和\verb"\fourch"输入选择题的选项。 +% 在\verb"questions"环境中用\verb"\tiankong"、\verb"\xuanze" +% 和\verb"\jianda"分别显示填空题、选择题、简答题的提示语。 +% \begin{verbatim} +% \begin{questions} +% \tiankong +% \question 这是第1道填空题\stk{答案,不显示答案时显示段横线} +% \question 这是第2道填空题\mtk{答案,不显示答案时显示段横线} +% \question 这是第2道填空题\ltk{答案,不显示答案时显示段横线} +% \xuanze +% \question 问题3是一道选择题,四个选项显示在一行 +% \onech{选项1}{选项2}{选项3}{选项4} +% \question 问题3是一道选择题,四个选项显示在两行 +% \twoch{选项1}{选项2}{选项3}{选项4} +% \question 问题3是一道选择题,四个选项显示在四行 +% \fourch{选项1}{选项2}{选项3}{选项4} +% \jianda +% \question 问题4是一道简答题 +% \begin{parts} +% \part 第1小问 +% \part 第2小问 +% \end{parts} +% \end{questions} +% \end{verbatim} +% 关于填空题、选择题、简答题的提示语中几个变量的设置,请参考\ref{sec:Variable}。 +% 关于题目的更多内容,请参考\ref{sec:Environment}。 +% +% \section{使用帮助} +% +% \subsection{选项} +% \label{sec:Options} +% +% \changes{v0.2}{2011/07/27}{增加UTF8选项以支持pdflatex} +% \changes{v0.4}{2015/10/10}{取消UTF8选项放弃支持pdflatex} + +% 宏包的选项用于改变一些缺省的设置。虽然缺省的设置基本能过满足一般用户的 +% 使用需要,但用户也可以根据自己的情况,使用这些选项。 +% +% \begin{description} +% \item[cs4size] 使用小四字号为缺省字体大小。 +% \item[c5size] 使用五号字为缺省字体大小(缺省选项)。 +% \item[answers] 在每一个问题后附上答案。 +% \item[marginline] 放置装订线。 +% \item[16kpaper] 使用16开纸张(缺省使用A4纸张)。 +% \item[noindent] 没有缩进。 +% \item[printbox] 显示评分框。 +% \end{description} +% +% \subsection{变量} +% \label{sec:Variable} +% \changes{v0.2}{2011/07/27}{试卷中改用英文标点符号} +% 本宏包在题量和分值等方面均以高考试卷为模板, +% 默认的变量值可以在\texttt{BHCexam.cfg}中设置,当然 +% 你也可以在使用相关命令之前使用以下命令进行更改。\\\\ +% \DescribeMacro{\biaoti} +% 设置标题信息。 +% \begin{quote} +% |\biaoti|\marg*{TEXT} +% \end{quote} +% \DescribeMacro{\fubiaoti} +% 设置副标题,他会显示在标题下方。 +% \begin{quote} +% |\kemu|\marg*{TEXT} +% \end{quote} +% \DescribeMacro{\xinxi} +% 设置总分和考试时间信息,\parg{num1}为总分,\parg{num2}为考试时间。 +% \begin{quote} +% |\xinxi|\marg*{num1}\marg*{num2} +% \end{quote} +% \DescribeMacro{\settk} +% 设置填空题的总分、题量和小分信息,\parg{num1}为总分,\parg{num2}为题量, +% \parg{num3}为小分。 +% \begin{quote} +% |\settk|\marg*{num1}\marg*{num2}\marg*{num3} +% \end{quote} +% \DescribeMacro{\setxz} +% 设置选择题的总分、题量和小分信息,\parg{num1}为总分,\parg{num2}为题量, +% \parg{num3}为小分。 +% \begin{quote} +% |\setxz|\marg*{num1}\marg*{num2}\marg*{num3} +% \end{quote} +% \DescribeMacro{\setjd} +% 设置简答题的总分、题量和小分信息,\parg{num1}为总分,\parg{num2}为题量。 +% \begin{quote} +% |\setjd|\marg*{num1}\marg*{num2}\marg*{num3} +% \end{quote} + +% \subsection{环境} +% \label{sec:Environment} +% 经常使用的环境有\verb"questions"环境、\verb"parts"环境, +% 关于它们的简单介绍,请参考\ref{sec:Example},这里做一点补充说明, +% 更详细的介绍,请参考~\exam~文档。\\\\ +% 在排版简答题时需要用\verb"\part"命令输入各小问的分值,宏包会自动算出总分并显示在该简答题的第一行。 +% 当该道简答题没有小问时,则要用\verb"\question"命令输入该问题的分值。 +% +% \begin{verbatim} +% ... +% \jianda +% \question 这是一道简答题 +% \begin{parts}[ +% \part[3] 第1小问3分。 +% \part[3] 第2小问3分。 +% \part[3] 第3小问4分。 +% \end{parts} +% \question[12] 这是一道没有小问的简答题,这道题有12分 +% ... +% \end{verbatim} +% 在\verb"\question"后新建\verb"solution"环境,在其中输入该问题的解答, +% 在不显示答案的情况下,该问题后会预留答题空间。 +% \begin{verbatim} +% ... +% \jianda +% \question 这是一道简答题 +% \begin{solution} +% 这是解答,不显示答案的情况下则这个问题后预留答题空间。 +% \end{solution} +% ... +% \end{verbatim} +% +% \subsection{常用命令} +% +% \DescribeMacro{\newpage} +% 每道问题的间距是弹性设置的,你只要在想换页的地方输入\verb"\newpage"命令, +% 则上一页的各问题间距会自动调整到最美观的效果。\\ +% \DescribeMacro{\mininotice} +% 在一行内输出精简的考试注意事项。\\ +% \DescribeMacro{\printmalol} +% 在当前页为正面时,在左边插入装订线(仅在使用marginline选项时有效)。\\ +% \DescribeMacro{\printmalol} +% 在当前页为反面时,在左边插入装订线(仅在使用marginline选项时有效)。\\ +% +% \StopEventually{} +% +% \section{源代码说明} +% +% \subsection{选项} +% +% +% 处理~\BHCexam~文档类的选项 +% +% \begin{macro}{\@sixteenkpaper} +% 16k纸张大小设置,缺省选项为a4paper +% \begin{macrocode} +%<*cls> +\newif\if@sixteenkpaper \@sixteenkpaperfalse +\DeclareOption{16kpaper}{\@sixteenkpapertrue} +% +% \end{macrocode} +% \end{macro} +% +% \begin{macro}{\@marginline} +% 是否有装订线 +% \begin{macrocode} +%<*cls> +\newif\if@marginline \@marginlinefalse +\DeclareOption{marginline}{\@marginlinetrue} +% +% \end{macrocode} +% \end{macro} +% +% 不缩进,缺省为缩进 +% \begin{macrocode} +%<*cls> +\newif\if@noindent \@noindentfalse +\DeclareOption{noindent}{\@noindenttrue} +% +% \end{macrocode} +% +% 显示答案的方式,缺省不显示答案 +% \begin{macrocode} +%\DeclareOption{answers}{\PassOptionsToClass{\CurrentOption}{exam}} +% \end{macrocode} + +% \begin{macro}{\@printbox} +% 显示计分框,缺省为不显示。 +% \begin{macrocode} +%<*cls> +\newif\if@printbox \@printboxfalse +\DeclareOption{printbox}{\@printboxtrue} +% +% \end{macrocode} +% \end{macro} +% +% 把没有定义的选项传递给缺省的文档类 +% \begin{macrocode} +%\DeclareOption*{\PassOptionsToClass{\CurrentOption}{exam}} +% \end{macrocode} +% +% 处理选项 +% \begin{macrocode} +%\ProcessOptions +% \end{macrocode} +% +% 装入缺省的文档类 +% \begin{macrocode} +%\LoadClass[addpoints]{exam} +% \end{macrocode} +% +% 导入ctex类的实现 +% \changes{v0.4}{2015/10/10}{修正ctex宏包实现} +% \begin{macrocode} +%<*cls> +\RequirePackage{ctex} +% +% \end{macrocode} +% \subsection{宏包} +% +% \begin{macro}{\RequirePackage} +% 我们需要使用的一些宏包 +% \begin{macrocode} +%<*cls> +\RequirePackage{ifpdf,ifxetex} +\RequirePackage{amsmath,amssymb,amsthm,bm,bbding,pifont,dsfont} +\RequirePackage{mathtools} +\RequirePackage{paralist,cases,tabularx} +\RequirePackage{pstricks,pst-plot,xcolor,graphicx} +% +% \end{macrocode} +% +% 用geometry宏包进行页面设置 +% \changes{v0.2}{2011/07/27}{改用geometry宏包实现纸张设置} +% \changes{v0.3}{2014/02/18}{修正了纸张的尺寸} +% \begin{macrocode} +%<*cls> +\if@marginline +\marginparwidth = 2cm +\if@sixteenkpaper +\RequirePackage[papersize={184mm,260mm},hmargin={3cm,2cm}, +vmargin={2cm,2cm},marginparsep=0.5cm,hoffset=0cm,voffset=0cm, +footnotesep=0.5cm,headsep=0.5cm,twoside]{geometry} +\else +\RequirePackage[paper=a4paper,hmargin={3cm,2cm},vmargin={2cm,2cm}, +marginparsep=0.5cm,hoffset=0cm,voffset=0cm,footnotesep=0.5cm, +headsep=0.5cm,twoside]{geometry} +\fi +\else +\if@sixteenkpaper +\RequirePackage[papersize={184mm,260mm},hmargin={2cm,2cm}, +vmargin={2cm,2cm},marginparsep=0.5cm,hoffset=0cm,voffset=0cm, +footnotesep=0.5cm,headsep=0.5cm]{geometry} +\else +\RequirePackage[papersize={210mm,297mm},hmargin={2cm,2cm},vmargin={2cm,2cm}, +marginparsep=0.5cm,hoffset=0cm,voffset=0cm,footnotesep=0.5cm, +headsep=0.5cm]{geometry} +\fi +\fi +% +% \end{macrocode} +%\end{macro} +% +% \subsection{自定义设置} +%行距、页眉、页脚 +% \begin{macrocode} +%<*cls> +\renewcommand{\baselinestretch}{1.5} +\pagestyle{headandfoot} +\header{}{}{} +\footer{}{\small \quad 第~\thepage~页(共~\numpages~页)}{} +% +% \end{macrocode} +% +% 分值显示 +% \begin{macrocode} +%<*cls> +\pointname{分} +\pointformat{\kaishu (\thepoints)} +% +% \end{macrocode} +% +% 问题的显示 +% \begin{macrocode} +%<*cls> +\renewcommand{\questionshook}{ + \settowidth{\leftmargin}{22.\hskip\labelsep} + \if@noindent \setlength\leftmargin{0pt} \fi +} +\renewcommand{\thepartno}{\arabic{partno}} +\renewcommand{\partlabel}{(\thepartno)} +\renewcommand{\partshook}{ + \settowidth{\leftmargin}{(3).\hskip\labelsep} + \if@noindent \setlength\leftmargin{0pt} \fi +} +% +% \end{macrocode} +% +% 解答的显示 +% \begin{macrocode} +%<*cls> +\newif\if@cancelspace \@cancelspacetrue +\renewcommand{\solutiontitle}{\noindent 解:\noindent} +\renewenvironment{solution}% + {% + \ifprintanswers + %\unskip + \begingroup + \Solution@Emphasis + \begin{TheSolution}% + \else + \if@cancelspace + %\unskip + \else + \par + \penalty 0 + \vfill% + \if@printbox \if@houpinfen \houpinfen \fi \fi + \fi + \setbox\z@\vbox\bgroup + \fi + }{% + \ifprintanswers + \end{TheSolution}% + \endgroup + \else + \egroup + \fi + }% +% +% \end{macrocode} +% +% \subsection{新的命令和环境} +% +% \begin{macro}{\printmlor} +% \begin{macro}{\printmlol} +% \changes{v0.1}{2011/07/23}{支持在首页插入装订线} +% \changes{v0.2}{2011/07/27}{手动在指定页插入左(右)装订线} +% 装订线 +% \begin{macrocode} +%<*cls> +\if@marginline +\newsavebox{\zdxl} +\sbox{\zdxl}{ +\begin{minipage}{0.7\paperheight} +\begin{center} +\heiti 班级\underline{\hspace{15ex}} \quad +姓名 \underline{\hspace{15ex}} \quad +学号 \underline{\hspace{15ex}} \quad \\ +\vspace{3ex} +\dotfill 装 \dotfill 订 \dotfill 线 \dotfill +\end{center} +\end{minipage} +} +\newsavebox{\zdxr} +\sbox{\zdxr}{ +\begin{minipage}{0.7\paperheight} +\begin{center} +\heiti \hfill 请 \hfill 不 \hfill 要 \hfill 在 \hfill + 装 \hfill 订 \hfill 线 \hfill 内 \hfill 答 \hfill 题 \hfill \\ +\vspace{3ex} +\dotfill 装 \dotfill 订 \dotfill 线 \dotfill +\end{center} +\end{minipage} +} +\newcommand{\printmlol}{ +\marginpar{\rotatebox{90}{\usebox{\zdxl}}} +} +\newcommand{\printmlor}{ +\marginpar{\rotatebox{-90}{\usebox{\zdxr}}} +} +\reversemarginpar +\fi +% +% \end{macrocode} +% \end{macro} +% \end{macro} +% +% \begin{macro}{\biaoti} +% \begin{macro}{\fubiaoti} +% 标题 +% \begin{macrocode} +%<*cls> +\newcommand\biaoti[1]{\def\@biaoti{#1}} +\newcommand\fubiaoti[1]{\def\@fubiaoti{#1}} +\renewcommand\maketitle{ + \begin{center}{\heiti \Large{\@biaoti}}\end{center} + \begin{center}{\heiti \Large{\@fubiaoti}}\end{center} +} +% +% \end{macrocode} +% \end{macro} +% \end{macro} +% +% \begin{macro}{\mininotice} +% \begin{macro}{\xinxi} +% 一行内显示考试时间和考试总分 +% \begin{macrocode} +%<*cls> +\newcommand\xinxi[2]{ + \def\@zongfen{#1} + \def\@shijian{#2} +} +\newcommand\mininotice{ + \begin{center}{ + \kaishu (本试卷满分~\@zongfen~分, 考试时间~\@shijian~分钟)} + \end{center} +} +% +% \end{macrocode} +% \end{macro} +% \end{macro} +% +% \begin{macro}{\notice} +% 注意事项 +% \begin{macrocode} +%<*cls> +\newcommand{\notice}{ + \heiti 注意事项: \songti + \begin{enumerate} + \item 答卷前, 考生务必将姓名、高考准考证号、校验码等填写清楚. + \item 本试卷共~\numquestions{}~道试题, 满分~\@zongfen~分,考试时间~\@shijian~分钟. + \end{enumerate} +} +% +% \end{macrocode} +%\end{macro} +% +% \begin{macro}{\pingfen} +% 前评分框 +% \begin{macrocode} +%<*cls> +\newlength\@boxwidth +\setlength\@boxwidth{0ex} +\if@printbox \setlength\@boxwidth{18ex} \fi +\newcommand\pinfen{ + \heiti + \begin{minipage}{\@boxwidth} + \begin{tabular}{|c|c|} + \hline + 得分 & 评卷人\\ + \hline + & \\ + \hline + \end{tabular} + \end{minipage} +} +% +% \end{macrocode} +% \end{macro} +% +% \begin{macro}{\houpinfen} +% 后评分框 +% \begin{macrocode} +%<*cls> +\newcommand{\houpinfen}{ + \hfill + \begin{tabular}{|l|l|} + \hline + 得分 & \hspace*{1.5cm}\\ + \hline + \end{tabular} + \bigskip +} +% +% \end{macrocode} +% \end{macro} +% +% +% 一些参数及变量 +% \begin{macrocode} +%<*cfg> +\def\@biaoti{2011年全国普通高等学校招生统一考试(上海卷)} +\def\@fubiaoti{数学(理科)} +\def\@zongfen{150} +\def\@shijian{120} +\def\@tiankong@zongfen{56} +\def\@tiankong@tishu{14} +\def\@tiankong@fen{4} +\def\@xuanze@zongfen{16} +\def\@xuanze@tishu{4} +\def\@xuanze@fen{4} +\def\@jianda@zongfen{78} +\def\@jianda@tishu{5} +% +%<*cls> +\newcounter{@dati} +\newif\if@houpinfen \@houpinfenfalse +% +% \end{macrocode} +% +% 填空题提示语 +% \begin{macro}{\tiankong} +% \begin{macrocode} +%<*cls> +\newcommand\settk[3]{ + \def\@tiankong@zongfen{#1} + \def\@tiankong@tishu{#2} + \def\@tiankong@fen{#3} +} +\newcommand\tiankong{ + \@houpinfenfalse + \stepcounter{@dati} + \fullwidth{ + \if@printbox \pinfen \fi + \begin{minipage}{\textwidth-\@boxwidth} + \heiti \chinese{@dati}. 填空题:本大题共~\@tiankong@tishu~题,满分~\@tiankong@zongfen~分. 请在横线上方填写最终的、最准确的、最完整的结果. 每题填写正确得~\@tiankong@fen~分,否则一律得0分. + \end{minipage} + } +} +% +% \end{macrocode} +% \end{macro} +% +% \begin{macro}{\stk} +% \begin{macro}{\mtk} +% \begin{macro}{\ltk} +% \changes{v0.3}{2014/02/18}{设置三种长度的横线,并支持在横线上输出答案} +% 填空题横线 +% \begin{macrocode} +%<*cls> +\newcommand{\stk}[1]{ + \ifprintanswers + \underline{~#1~} + \else + \underline{~\hspace{1cm}~} + \fi} +\newcommand{\mtk}[1]{ + \ifprintanswers + \underline{~#1~} + \else + \underline{~\hspace{2cm}~} + \fi} +\newcommand{\ltk}[1]{ + \ifprintanswers + \underline{~#1~} + \else + \underline{~\hspace{3cm}~} + \fi} +% +% \end{macrocode} +% \end{macro} +% \end{macro} +% \end{macro} +% +% 选择题提示语 +% \begin{macro}{\xuanze} +% \begin{macrocode} +%<*cls> +\newcommand\setxz[3]{ + \def\@xuanze@zongfen{#1} + \def\@xuanze@tishu{#2} + \def\@xuanze@fen{#3} +} +\newcommand\xuanze{ + \@houpinfenfalse + \stepcounter{@dati} + \fullwidth{ + \if@printbox \pinfen \fi + \begin{minipage}{\textwidth-\@boxwidth} + \heiti \chinese{@dati}. 选择题:本大题共~\@xuanze@tishu~题,满分~\@xuanze@zongfen~分. 请选择你认为最正确的答案(每小题有且只有一个)写在括号内. 每题填写正确得~\@xuanze@fen~分,否则得0分. + \end{minipage} + } +} +% +% \end{macrocode} +% \end{macro} +% +% \begin{macro}{\onech} +% \begin{macro}{\twoch} +% \begin{macro}{\fourch} +% \changes{v0.3}{2014/02/18}{分一行、两行、四行显示选项} +% 选择题的选项 +% \begin{macrocode} +%<*cls> +\newcommand{\onech}[4]{ +\renewcommand\arraystretch{1.4} +\begin{tabularx}{\linewidth}{XXXX} +\setlength\tabcolsep{0pt} +(A) #1 & (B) #2 & (C) #3 & (D) #4 \\ +\end{tabularx} +\unskip \unskip} +\newcommand{\twoch}[4]{ +\renewcommand\arraystretch{1.4} +\begin{tabularx}{\linewidth}{XX} +\setlength\tabcolsep{0pt} +(A) #1 & (B) #2 \\ +(C) #3 & (D) #4 +\end{tabularx} +\unskip \unskip} +\newcommand{\fourch}[4]{ +\renewcommand\arraystretch{1.4} +\begin{tabularx}{\linewidth}{X} +\setlength\tabcolsep{0pt} +(A) #1 \\ +(B) #2 \\ +(C) #3 \\ +(D) #4 \\ +\end{tabularx} +\unskip \unskip} +% +% \end{macrocode} +% \end{macro} +% \end{macro} +% \end{macro} +% +% 简答题提示语 +% \begin{macro}{\jianda} +% \begin{macrocode} +%<*cls> +\newcommand\setjd[2]{ + \def\@jianda@zongfen{#1} + \def\@jianda@tishu{#2} +} +\newcommand\jianda{ + \@cancelspacefalse + \@houpinfentrue + \stepcounter{@dati} + \fullwidth{ + \if@printbox \pinfen \fi + \begin{minipage}{\textwidth-\@boxwidth} + \heiti \chinese{@dati}. 简答题:本大题共~\@jianda@tishu~题,满分~\@jianda@zongfen~分. 请在题后空处写出必要的推理计算过程. + \end{minipage} + } +} +% +% \end{macrocode} +% \end{macro} +% +% 数学运算符号、单位 +% \begin{macrocode} +%<*cls> +\delimitershortfall-1sp +\newcommand\abs[1]{\left|#1\right|} +\renewcommand{\geq}{\geqslant} +\renewcommand{\ge}{\geqslant} +\renewcommand{\leq}{\leqslant} +\renewcommand{\le}{\leqslant} +%<\cls> +% \end{macrocode} +% +% 读取配置文件 +% \begin{macrocode} +%<*cls> +\AtEndOfPackage{\makeatletter\input{BHCexam.cfg}\makeatother} +% +% \end{macrocode} +% +% + +% \Finale +% +% \setcounter{IndexColumns}{2} +% \IndexPrologue{\section*{索引}} +% +% \GlossaryPrologue{\section*{版本更新}} +% +% \PrintIndex \PrintChanges +\endinput + +\EnableCrossrefs diff --git a/macros/latex/contrib/bhcexam/BHCexam.ins b/macros/latex/contrib/bhcexam/BHCexam.ins new file mode 100644 index 0000000000..16f9828539 --- /dev/null +++ b/macros/latex/contrib/bhcexam/BHCexam.ins @@ -0,0 +1,107 @@ +%% +%% This file will generate fast loadable files and documentation +%% driver files from the doc files in this package when run through +%% LaTeX or TeX. It works with Docstrip versions after April 1998. +%% +%% Copyright (C) 2011 by Charles Bao +%% +%% This file is part of the BHCexam package project. +%% --------------------------------------------------- +%% +%% It may be distributed under the conditions of the LaTeX Project Public +%% License, either version 1.2 of this license or (at your option) any +%% later version. The latest version of this license is in +%% http://www.latex-project.org/lppl.txt +%% and version 1.2 or later is part of all distributions of LaTeX +%% version 1999/12/01 or later. +%% +%% In particular, NO PERMISSION is granted to modify the contents of this +%% file since it contains the legal notices that are placed in the files +%% it generates. +%% +%% +%% +%% +%% --------------- start of docstrip commands ------------------ +%% + +\input docstrip + +\preamble + +This is a generated file. + +Copyright (C) 2011 by Charles Bao + +This file was generated from file(s) of the BHCexam package project. +---------------------------------------------------------------------- + +It may be distributed and/or modified under the +conditions of the LaTeX Project Public License, either version 1.2 +of this license or (at your option) any later version. +The latest version of this license is in + http://www.latex-project.org/lppl.txt +and version 1.2 or later is part of all distributions of LaTeX +version 1999/12/01 or later. + +This file may only be distributed together with a copy of original +source files. You may however distribute original source files +without such generated files. Copying of this file is authorized +only if either: +(1) you make absolutely no changes to your copy, including name; OR +(2) if you do make changes, you first rename it to some other name. + +To produce the documentation run the original source files ending +with `.dtx' through LaTeX. + +\endpreamble + +\declarepreamble\cfgpreamble + +This is a generated file. + +Copyright (C) 2014 by Charles Bao + +This file was generated from file(s) of the BHCexam package project. +---------------------------------------------------------------------- + +It may be distributed and/or modified under the +conditions of the LaTeX Project Public License, either version 1.2 +of this license or (at your option) any later version. +The latest version of this license is in + http://www.latex-project.org/lppl.txt +and version 1.2 or later is part of all distributions of LaTeX +version 1999/12/01 or later. + +This is the configuration file of the BHCexam package with LaTeX2e. + +\endpreamble + +\askonceonly +\keepsilent +\usedir{tex/latex/BHCexam} + +\generate{\file{BHCexam.cls}{\from{BHCexam.dtx}{cls}} + \usepreamble\cfgpreamble + \file{BHCexam.cfg}{\from{BHCexam.dtx}{cfg}} + } + +\ifToplevel{ +\Msg{***********************************************************} +\Msg{*} +\Msg{* To finish the installation you have to move the following} +\Msg{* files into a directory searched by TeX:} +\Msg{*} +\Msg{* The recommended directory is TEXMF/tex/latex/BHCexam} +\Msg{*} +\Msg{* \space\space BHCexam.cls} +\Msg{* \space\space BHCexam.cfg} +\Msg{*} +\Msg{* To produce the documentation run the files ending with} +\Msg{* `.dtx' through LaTeX.} +\Msg{*} +\Msg{* Happy TeXing} +\Msg{***********************************************************} +} + +\endbatchfile diff --git a/macros/latex/contrib/bhcexam/Makefile b/macros/latex/contrib/bhcexam/Makefile new file mode 100644 index 0000000000..667c242491 --- /dev/null +++ b/macros/latex/contrib/bhcexam/Makefile @@ -0,0 +1,88 @@ +PACKAGE = BHCexam +######################################################################## +## LaTeX2e Makefile +## +## Update the following defines for your local configuration, +## +TEXMFDIR = ~/texmf/tex/latex/BHCexam +GZIP = gzip +XELATEX = xelatex +PDFLATEX = pdflatex +MAKEINDEX = makeindex +######################################################################## +## make [all] Generates the class(.cls) file, the configuration(.cfg) +## file and the documentation (.pdf). If you don't have +## the required MAKEINDEX (along with `gglo.ist' and +## `gind.ist'), then change the first dependency +## of "all" from "fullpdf" to "pdf" below. +## make [un]install Install or uninstall the class(.cls) file and +## the configuration(.cfg) file. +## make [very]clean Clean out various auxillary files. "veryclean" +## cleans out more stuff. +######################################################################## +## make [full]doc Generate the documentation. The "fulldoc" version +## adds the change log and the cross-references. +## make idx Generate the change log and the cross-references +## (for fulldoc -- requires MAKEINDEX). +## make cls Generate the class(.cls) file and the +## configuration(.cfg) file. + +######################################################################## +## make test Run test file(s) +## make src Builds a src distribution (.tar.gz) file. +## make distribtion Builds a distribution (.tar.gz) file. +######################################################################## + +all: veryclean cls fulldoc test clean + +install: cls + cp $(PACKAGE).{cls,cfg} $(TEXMFDIR) +uninstall: ; rm $(TEXMFDIR)/$(PACKAGE).{cls,cfg} +clean: ; -rm -f *.dvi *.log *.aux *.lof *.lot *.toc + -rm -f *.idx *.ind *.glo *.gls *.ilg *.out *~ +veryclean: ; -rm -f *.dvi *.log *.aux *.lof *.lot *.toc + -rm -f *.idx *.ind *.glo *.gls *.ilg *.out + -rm -f *.idx *.ind *.glo *.gls *.ilg *.out + -rm -f *.sty *.cls *.pdf *pk *.cfg *.tar *~ + + +doc: ; $(XELATEX) $(PACKAGE).dtx + +cls: ; $(XELATEX) $(PACKAGE).ins + +fulldoc: doc $(PACKAGE).gls $(PACKAGE).ind + $(XELATEX) $(PACKAGE).dtx + +src: ; mkdir $(PACKAGE) + cp -p README Makefile $(PACKAGE) + cp -p $(PACKAGE).dtx $(PACKAGE).ins $(PACKAGE) + cp -p test*.tex $(PACKAGE) + tar -cvf $(PACKAGE)-src.tar ./$(PACKAGE) + rm -rf $(PACKAGE) + $(GZIP) -9 $(PACKAGE)-src.tar + +distribution: veryclean cls fulldoc test clean + mkdir $(PACKAGE) + cp -p $(PACKAGE).cls $(PACKAGE).cfg $(PACKAGE) + cp -p *.tex $(PACKAGE) + cp -p *.pdf $(PACKAGE) + tar -cvf $(PACKAGE).tar ./$(PACKAGE) + rm -rf $(PACKAGE) + $(GZIP) -9 $(PACKAGE).tar + +$(PACKAGE).gls: doc + $(MAKEINDEX) -s gglo.ist -o $(PACKAGE).gls $(PACKAGE).glo + +$(PACKAGE).ind: doc + $(MAKEINDEX) -s gind.ist -o $(PACKAGE).ind $(PACKAGE).idx + +test: cls + $(XELATEX) test1.tex + $(XELATEX) test1.tex + $(XELATEX) test2.tex + $(XELATEX) test2.tex + $(XELATEX) test3.tex + $(XELATEX) test3.tex + $(XELATEX) test4.tex + $(XELATEX) test4.tex + diff --git a/macros/latex/contrib/bhcexam/README b/macros/latex/contrib/bhcexam/README new file mode 100644 index 0000000000..73804a8a61 --- /dev/null +++ b/macros/latex/contrib/bhcexam/README @@ -0,0 +1,21 @@ +This is version 0.4 of the BHCexam document class, dated Oct 10, 2015. + +The BHCexam document class attempts to make it easy for even a LaTeX novice to prepare exams. + +To generate the document class files from .dtx file: +make cls; + +To install the document class files to ~/texmf +make install; + +To generate the user's guide document (with index) +make [full]doc; + +To generate test page +make test + +-------------------------------------------------------------------- + +This work may be distributed and/or modified under the conditions of +the LaTeX Project Public License, either version 1.3 of this license +or (at your option) any later version. diff --git a/macros/latex/contrib/bhcexam/test1.tex b/macros/latex/contrib/bhcexam/test1.tex new file mode 100644 index 0000000000..01fc0b2035 --- /dev/null +++ b/macros/latex/contrib/bhcexam/test1.tex @@ -0,0 +1,143 @@ +\documentclass[printbox,marginline,noindent,adobefonts]{BHCexam} +\begin{document} +\printmlol +\maketitle + +\begin{questions} +\tiankong +\question 已知~$\bm{a}=(k,-9)$、$\bm{b}=(-1,k)$, $\bm{a}$~与~$\bm{b}$~为平行向量, + 则~$k=$\stk{$\pm3$}. + +\question 若函数~$f(x)=x^{6m^2-5m-4}\,(m\in\mathbb{Z})$~的图像关于~$y$~轴对称, + 且~$f(2)a>0$), 若再添加~$m\text{g}$~糖~($m>0$), + + +\question 已知~$f(x)=1-\textbf{c}_8^1x+\textbf{c}_8^2x^2-\textbf{c}_8^3x^3+\cdots+\textbf{c}_8^8x^8$, + 则~$f\big(\dfrac{1}{2}+\dfrac{\sqrt{3}}{2}\textbf{i}\big)$~的值是\ltk{$-\dfrac{1}{2}-\dfrac{\sqrt{3}}{2}\textbf{i}$}. + +\question 自然数~$1,2,3,\ldots,10$~的方差记为~$\sigma^2$, + 其中的偶数~$2,4,6,8,10$~的方差记为~$\sigma_1^2$, + 则~$\sigma^2$~与~$\sigma_1^2$~的大小关系为~$\sigma^2$\stk{$>$}$\sigma_1^2$. + +\question 若~$\theta$~为三角形的一个内角, 且~$\sin\theta+\cos\theta=\dfrac{2}{3}$, + 则方程~$x^2\csc\theta-y^2\sec\theta=1$~表示的曲线的焦点坐标是\stk{$\big(\pm\dfrac{\sqrt{6}}{3},0\big)$}. + + +\question 高为~$h$~的棱锥被平行于棱锥底面的截得棱台侧面积是 + 原棱锥的侧面积的~$\dfrac{5}{9}$, + 则截得的棱台的体积与原棱锥的体积之比是\stk{$19:27$}. + +\question 以椭圆~$\dfrac{x^2}{169}+\dfrac{y^2}{144}=1$~的右焦点为圆心, + 且与双曲线~$\dfrac{x^2}{9}-\dfrac{y^2}{16}=1$~的渐近线相切的圆方程是\mtk{$(x-5)^2+y^2=16$}. + + +\question 若~$\sqrt{\,\sin x}$~是有理数且~$x$~不是~$\dfrac{\pi}{6}$~的整数倍, + 则~$x$~可能取的值是\mtk{$\arcsin\dfrac{1}{4}$ 等}.(只要求写出一个) + +\question 马路上有编号~1~到~10~的~10~盏路灯, 为节约用电又不影响照明, + 可以关掉其中的~3~盏, 但又不能同时关掉相邻的两盏, 也不能关掉两端的路灯, + 满足条件的关灯方法有\stk{$20$}种. + + +\question 以椭圆~$\dfrac{x^2}{169}+\dfrac{y^2}{144}=1$~的右焦点为圆心, + 且与双曲线~$\dfrac{x^2}{9}-\dfrac{y^2}{16}=1$~的渐近线相切的圆方程是\mtk{$(x-5)^2+y^2=16$}. + +\question 若~$\sqrt{\,\sin x}$~是有理数且~$x$~不是~$\dfrac{\pi}{6}$~的整数倍, + 则~$x$~可能取的值是\mtk{$\arcsin\dfrac{1}{4}$ 等}.(只要求写出一个) + +\question 马路上有编号~1~到~10~的~10~盏路灯, 为节约用电又不影响照明, + 可以关掉其中的~3~盏, 但又不能同时关掉相邻的两盏, 也不能关掉两端的路灯, + 满足条件的关灯方法有\stk{$20$}种. + + +\question 以椭圆~$\dfrac{x^2}{169}+\dfrac{y^2}{144}=1$~的右焦点为圆心, + 且与双曲线~$\dfrac{x^2}{9}-\dfrac{y^2}{16}=1$~的渐近线相切的圆方程是\mtk{$(x-5)^2+y^2=16$}. + +\newpage + +\xuanze +\question 已知集合~$A=\{x\mid \abs{x-1}<3 \}$, +集合~$B=\{y| y=x^2+2x+1,x\in\mathbb{R}\}$, 则~$A\cap +\complement_U B$~为\stk{C}. +\twoch{$[\,0,4)$}{$(-\infty,-2\,]\cup[4,+\infty)$}{$(-2,0)$}{$(0,4)$} + +\question 若~$a$、$b$~是直线, $\alpha$、$\beta$~是平面, +则以下命题中真命题是\stk{D}.\\ +\fourch{若~$a$、$b$~异面, $a\subset\alpha$,$b\subset\beta$, 且~$a\perp b$, 则~$\alpha\perp\beta$}{若~$a\parallel b$, $a\subset\alpha$, $b\subset\beta$,则~$\alpha\parallel\beta$}{若~$a\parallel \alpha$, +$b\subset\beta$, 则~$a$、$b$ 异面}{若~$a\perp b$, $a\perp\alpha$,$b\perp\beta$, 则~$\alpha\perp\beta$} + +\question 已知集合~$A=\{x\mid \abs{x-1}<3 \}$, +集合~$B=\{y| y=x^2+2x+1,x\in\mathbb{R}\}$, 则~$A\cap +\complement_U B$~为\stk{C}. +\twoch{$[\,0,4)$}{$(-\infty,-2\,]\cup[4,+\infty)$}{$(-2,0)$}{$(0,4)$} + +\question 若~$a$、$b$~是直线, $\alpha$、$\beta$~是平面, +则以下命题中真命题是\stk{D}.\\ +\fourch{若~$a$、$b$~异面, $a\subset\alpha$,$b\subset\beta$, 且~$a\perp b$, 则~$\alpha\perp\beta$}{若~$a\parallel b$, $a\subset\alpha$, $b\subset\beta$,则~$\alpha\parallel\beta$}{若~$a\parallel \alpha$, +$b\subset\beta$, 则~$a$、$b$ 异面}{若~$a\perp b$, $a\perp\alpha$,$b\perp\beta$, 则~$\alpha\perp\beta$} + +\newpage +\jianda +\question 已知复数~$z$ 满足:$\abs{z}-z^*=\dfrac{10}{1-w\textbf{i}}$(其中~$z^*$ +是~$z$ 的共轭复数). +\begin{parts} +\part[7] 求复数~$z$; +\part[7] 若复数~$w=\cos\theta+\textbf{i}\sin\theta\,(\theta\in\mathbb{R})$, 求~$\abs{z-2}$ 的取值范围. +\end{parts} + +\begin{solution} +\begin{parts} +\part $z=3+4\textbf{i}$ +\part $\abs{z-w}\in[4,6]$ +\end{parts} +\end{solution} + +\question[14] 函数~$f(x)=4\sin\dfrac{\pi}{12}x\cdot\sin + \left(\dfrac{\pi}{2}+\dfrac{\pi}{12}x\right),x\in[a,a+1]$, + 其中常数~$a\in[0,5]$, 求函数~$f(x)$ 的最大值~$g(a)$. + +\begin{solution} +略 +\end{solution} + +\newpage + +\question[16] 函数~$f(x)=4\sin\dfrac{\pi}{12}x\cdot\sin + \left(\dfrac{\pi}{2}+\dfrac{\pi}{12}x\right),x\in[a,a+1]$, + 其中常数~$a\in[0,5]$, 求函数~$f(x)$ 的最大值~$g(a)$. + +\begin{solution} +略 +\end{solution} + +\newpage +\question 已知复数~$z$ 满足:$\abs{z}-z^*=\dfrac{10}{1-w\textbf{i}}$(其中~$z^*$ +是~$z$ 的共轭复数). +\begin{parts} +\part[8] 求复数~$z$; +\part[8] 若复数~$w=\cos\theta+\textbf{i}\sin\theta\,(\theta\in\mathbb{R})$, 求~$\abs{z-2}$ 的取值范围. +\end{parts} + +\begin{solution} +\begin{parts} +\part $z=3+4\textbf{i}$ +\part $\abs{z-w}\in[4,6]$ +\end{parts} +\end{solution} + +\newpage + +\question[18] 函数~$f(x)=4\sin\dfrac{\pi}{12}x\cdot\sin + \left(\dfrac{\pi}{2}+\dfrac{\pi}{12}x\right),x\in[a,a+1]$, + 其中常数~$a\in[0,5]$, 求函数~$f(x)$ 的最大值~$g(a)$. + +\begin{solution} +略 +\end{solution} + +\end{questions} +\end{document} diff --git a/macros/latex/contrib/bhcexam/test2.tex b/macros/latex/contrib/bhcexam/test2.tex new file mode 100644 index 0000000000..8dac567787 --- /dev/null +++ b/macros/latex/contrib/bhcexam/test2.tex @@ -0,0 +1,144 @@ +\documentclass[16kpaper]{BHCexam} +\begin{document} + +\maketitle +\mininotice + +\begin{questions} +\tiankong +\question 已知~$\bm{a}=(k,-9)$、$\bm{b}=(-1,k)$, $\bm{a}$~与~$\bm{b}$~为平行向量, + 则~$k=$\stk{$\pm3$}. + +\question 若函数~$f(x)=x^{6m^2-5m-4}\,(m\in\mathbb{Z})$~的图像关于~$y$~轴对称, + 且~$f(2)a>0$), 若再添加~$m\text{g}$~糖~($m>0$), + + +\question 已知~$f(x)=1-\textbf{c}_8^1x+\textbf{c}_8^2x^2-\textbf{c}_8^3x^3+\cdots+\textbf{c}_8^8x^8$, + 则~$f\big(\dfrac{1}{2}+\dfrac{\sqrt{3}}{2}\textbf{i}\big)$~的值是\ltk{$-\dfrac{1}{2}-\dfrac{\sqrt{3}}{2}\textbf{i}$}. + +\question 自然数~$1,2,3,\ldots,10$~的方差记为~$\sigma^2$, + 其中的偶数~$2,4,6,8,10$~的方差记为~$\sigma_1^2$, + 则~$\sigma^2$~与~$\sigma_1^2$~的大小关系为~$\sigma^2$\stk{$>$}$\sigma_1^2$. + +\question 若~$\theta$~为三角形的一个内角, 且~$\sin\theta+\cos\theta=\dfrac{2}{3}$, + 则方程~$x^2\csc\theta-y^2\sec\theta=1$~表示的曲线的焦点坐标是\stk{$\big(\pm\dfrac{\sqrt{6}}{3},0\big)$}. + + +\question 高为~$h$~的棱锥被平行于棱锥底面的截得棱台侧面积是 + 原棱锥的侧面积的~$\dfrac{5}{9}$, + 则截得的棱台的体积与原棱锥的体积之比是\stk{$19:27$}. + +\question 以椭圆~$\dfrac{x^2}{169}+\dfrac{y^2}{144}=1$~的右焦点为圆心, + 且与双曲线~$\dfrac{x^2}{9}-\dfrac{y^2}{16}=1$~的渐近线相切的圆方程是\mtk{$(x-5)^2+y^2=16$}. + + +\question 若~$\sqrt{\,\sin x}$~是有理数且~$x$~不是~$\dfrac{\pi}{6}$~的整数倍, + 则~$x$~可能取的值是\mtk{$\arcsin\dfrac{1}{4}$ 等}.(只要求写出一个) + +\question 马路上有编号~1~到~10~的~10~盏路灯, 为节约用电又不影响照明, + 可以关掉其中的~3~盏, 但又不能同时关掉相邻的两盏, 也不能关掉两端的路灯, + 满足条件的关灯方法有\stk{$20$}种. + + +\question 以椭圆~$\dfrac{x^2}{169}+\dfrac{y^2}{144}=1$~的右焦点为圆心, + 且与双曲线~$\dfrac{x^2}{9}-\dfrac{y^2}{16}=1$~的渐近线相切的圆方程是\mtk{$(x-5)^2+y^2=16$}. + +\question 若~$\sqrt{\,\sin x}$~是有理数且~$x$~不是~$\dfrac{\pi}{6}$~的整数倍, + 则~$x$~可能取的值是\mtk{$\arcsin\dfrac{1}{4}$ 等}.(只要求写出一个) + +\question 马路上有编号~1~到~10~的~10~盏路灯, 为节约用电又不影响照明, + 可以关掉其中的~3~盏, 但又不能同时关掉相邻的两盏, 也不能关掉两端的路灯, + 满足条件的关灯方法有\stk{$20$}种. + + +\question 以椭圆~$\dfrac{x^2}{169}+\dfrac{y^2}{144}=1$~的右焦点为圆心, + 且与双曲线~$\dfrac{x^2}{9}-\dfrac{y^2}{16}=1$~的渐近线相切的圆方程是\mtk{$(x-5)^2+y^2=16$}. + +\newpage + +\xuanze +\question 已知集合~$A=\{x\mid \abs{x-1}<3 \}$, +集合~$B=\{y| y=x^2+2x+1,x\in\mathbb{R}\}$, 则~$A\cap +\complement_U B$~为\stk{C}. +\twoch{$[\,0,4)$}{$(-\infty,-2\,]\cup[4,+\infty)$}{$(-2,0)$}{$(0,4)$} + +\question 若~$a$、$b$~是直线, $\alpha$、$\beta$~是平面, +则以下命题中真命题是\stk{D}.\\ +\fourch{若~$a$、$b$~异面, $a\subset\alpha$,$b\subset\beta$, 且~$a\perp b$, 则~$\alpha\perp\beta$}{若~$a\parallel b$, $a\subset\alpha$, $b\subset\beta$,则~$\alpha\parallel\beta$}{若~$a\parallel \alpha$, +$b\subset\beta$, 则~$a$、$b$ 异面}{若~$a\perp b$, $a\perp\alpha$,$b\perp\beta$, 则~$\alpha\perp\beta$} + +\question 已知集合~$A=\{x\mid \abs{x-1}<3 \}$, +集合~$B=\{y| y=x^2+2x+1,x\in\mathbb{R}\}$, 则~$A\cap +\complement_U B$~为\stk{C}. +\twoch{$[\,0,4)$}{$(-\infty,-2\,]\cup[4,+\infty)$}{$(-2,0)$}{$(0,4)$} + +\question 若~$a$、$b$~是直线, $\alpha$、$\beta$~是平面, +则以下命题中真命题是\stk{D}.\\ +\fourch{若~$a$、$b$~异面, $a\subset\alpha$,$b\subset\beta$, 且~$a\perp b$, 则~$\alpha\perp\beta$}{若~$a\parallel b$, $a\subset\alpha$, $b\subset\beta$,则~$\alpha\parallel\beta$}{若~$a\parallel \alpha$, +$b\subset\beta$, 则~$a$、$b$ 异面}{若~$a\perp b$, $a\perp\alpha$,$b\perp\beta$, 则~$\alpha\perp\beta$} + +\newpage +\jianda +\question 已知复数~$z$ 满足:$\abs{z}-z^*=\dfrac{10}{1-w\textbf{i}}$(其中~$z^*$ +是~$z$ 的共轭复数). +\begin{parts} +\part[7] 求复数~$z$; +\part[7] 若复数~$w=\cos\theta+\textbf{i}\sin\theta\,(\theta\in\mathbb{R})$, 求~$\abs{z-2}$ 的取值范围. +\end{parts} + +\begin{solution} +\begin{parts} +\part $z=3+4\textbf{i}$ +\part $\abs{z-w}\in[4,6]$ +\end{parts} +\end{solution} + +\question[14] 函数~$f(x)=4\sin\dfrac{\pi}{12}x\cdot\sin + \left(\dfrac{\pi}{2}+\dfrac{\pi}{12}x\right),x\in[a,a+1]$, + 其中常数~$a\in[0,5]$, 求函数~$f(x)$ 的最大值~$g(a)$. + +\begin{solution} +略 +\end{solution} + +\newpage + +\question[16] 函数~$f(x)=4\sin\dfrac{\pi}{12}x\cdot\sin + \left(\dfrac{\pi}{2}+\dfrac{\pi}{12}x\right),x\in[a,a+1]$, + 其中常数~$a\in[0,5]$, 求函数~$f(x)$ 的最大值~$g(a)$. + +\begin{solution} +略 +\end{solution} + +\newpage +\question 已知复数~$z$ 满足:$\abs{z}-z^*=\dfrac{10}{1-w\textbf{i}}$(其中~$z^*$ +是~$z$ 的共轭复数). +\begin{parts} +\part[8] 求复数~$z$; +\part[8] 若复数~$w=\cos\theta+\textbf{i}\sin\theta\,(\theta\in\mathbb{R})$, 求~$\abs{z-2}$ 的取值范围. +\end{parts} + +\begin{solution} +\begin{parts} +\part $z=3+4\textbf{i}$ +\part $\abs{z-w}\in[4,6]$ +\end{parts} +\end{solution} + +\newpage + +\question[18] 函数~$f(x)=4\sin\dfrac{\pi}{12}x\cdot\sin + \left(\dfrac{\pi}{2}+\dfrac{\pi}{12}x\right),x\in[a,a+1]$, + 其中常数~$a\in[0,5]$, 求函数~$f(x)$ 的最大值~$g(a)$. + +\begin{solution} +略 +\end{solution} + +\end{questions} +\end{document} diff --git a/macros/latex/contrib/bhcexam/test3.tex b/macros/latex/contrib/bhcexam/test3.tex new file mode 100644 index 0000000000..0748babf7a --- /dev/null +++ b/macros/latex/contrib/bhcexam/test3.tex @@ -0,0 +1,144 @@ +\documentclass[answers]{BHCexam} +\begin{document} + +\maketitle +\mininotice + +\begin{questions} +\tiankong +\question 已知~$\bm{a}=(k,-9)$、$\bm{b}=(-1,k)$, $\bm{a}$~与~$\bm{b}$~为平行向量, + 则~$k=$\stk{$\pm3$}. + +\question 若函数~$f(x)=x^{6m^2-5m-4}\,(m\in\mathbb{Z})$~的图像关于~$y$~轴对称, + 且~$f(2)a>0$), 若再添加~$m\text{g}$~糖~($m>0$), + + +\question 已知~$f(x)=1-\textbf{c}_8^1x+\textbf{c}_8^2x^2-\textbf{c}_8^3x^3+\cdots+\textbf{c}_8^8x^8$, + 则~$f\big(\dfrac{1}{2}+\dfrac{\sqrt{3}}{2}\textbf{i}\big)$~的值是\ltk{$-\dfrac{1}{2}-\dfrac{\sqrt{3}}{2}\textbf{i}$}. + +\question 自然数~$1,2,3,\ldots,10$~的方差记为~$\sigma^2$, + 其中的偶数~$2,4,6,8,10$~的方差记为~$\sigma_1^2$, + 则~$\sigma^2$~与~$\sigma_1^2$~的大小关系为~$\sigma^2$\stk{$>$}$\sigma_1^2$. + +\question 若~$\theta$~为三角形的一个内角, 且~$\sin\theta+\cos\theta=\dfrac{2}{3}$, + 则方程~$x^2\csc\theta-y^2\sec\theta=1$~表示的曲线的焦点坐标是\stk{$\big(\pm\dfrac{\sqrt{6}}{3},0\big)$}. + + +\question 高为~$h$~的棱锥被平行于棱锥底面的截得棱台侧面积是 + 原棱锥的侧面积的~$\dfrac{5}{9}$, + 则截得的棱台的体积与原棱锥的体积之比是\stk{$19:27$}. + +\question 以椭圆~$\dfrac{x^2}{169}+\dfrac{y^2}{144}=1$~的右焦点为圆心, + 且与双曲线~$\dfrac{x^2}{9}-\dfrac{y^2}{16}=1$~的渐近线相切的圆方程是\mtk{$(x-5)^2+y^2=16$}. + + +\question 若~$\sqrt{\,\sin x}$~是有理数且~$x$~不是~$\dfrac{\pi}{6}$~的整数倍, + 则~$x$~可能取的值是\mtk{$\arcsin\dfrac{1}{4}$ 等}.(只要求写出一个) + +\question 马路上有编号~1~到~10~的~10~盏路灯, 为节约用电又不影响照明, + 可以关掉其中的~3~盏, 但又不能同时关掉相邻的两盏, 也不能关掉两端的路灯, + 满足条件的关灯方法有\stk{$20$}种. + + +\question 以椭圆~$\dfrac{x^2}{169}+\dfrac{y^2}{144}=1$~的右焦点为圆心, + 且与双曲线~$\dfrac{x^2}{9}-\dfrac{y^2}{16}=1$~的渐近线相切的圆方程是\mtk{$(x-5)^2+y^2=16$}. + +\question 若~$\sqrt{\,\sin x}$~是有理数且~$x$~不是~$\dfrac{\pi}{6}$~的整数倍, + 则~$x$~可能取的值是\mtk{$\arcsin\dfrac{1}{4}$ 等}.(只要求写出一个) + +\question 马路上有编号~1~到~10~的~10~盏路灯, 为节约用电又不影响照明, + 可以关掉其中的~3~盏, 但又不能同时关掉相邻的两盏, 也不能关掉两端的路灯, + 满足条件的关灯方法有\stk{$20$}种. + + +\question 以椭圆~$\dfrac{x^2}{169}+\dfrac{y^2}{144}=1$~的右焦点为圆心, + 且与双曲线~$\dfrac{x^2}{9}-\dfrac{y^2}{16}=1$~的渐近线相切的圆方程是\mtk{$(x-5)^2+y^2=16$}. + +\newpage + +\xuanze +\question 已知集合~$A=\{x\mid {x-1}<3 \}$, +集合~$B=\{y| y=x^2+2x+1,x\in\mathbb{R}\}$, 则~$A\cap +\complement_U B$~为\stk{C}. +\twoch{$[\,0,4)$}{$(-\infty,-2\,]\cup[4,+\infty)$}{$(-2,0)$}{$(0,4)$} + +\question 若~$a$、$b$~是直线, $\alpha$、$\beta$~是平面, +则以下命题中真命题是\stk{D}.\\ +\fourch{若~$a$、$b$~异面, $a\subset\alpha$,$b\subset\beta$, 且~$a\perp b$, 则~$\alpha\perp\beta$}{若~$a\parallel b$, $a\subset\alpha$, $b\subset\beta$,则~$\alpha\parallel\beta$}{若~$a\parallel \alpha$, +$b\subset\beta$, 则~$a$、$b$ 异面}{若~$a\perp b$, $a\perp\alpha$,$b\perp\beta$, 则~$\alpha\perp\beta$} + +\question 已知集合~$A=\{x\mid {x-1}<3 \}$, +集合~$B=\{y| y=x^2+2x+1,x\in\mathbb{R}\}$, 则~$A\cap +\complement_U B$~为\stk{C}. +\twoch{$[\,0,4)$}{$(-\infty,-2\,]\cup[4,+\infty)$}{$(-2,0)$}{$(0,4)$} + +\question 若~$a$、$b$~是直线, $\alpha$、$\beta$~是平面, +则以下命题中真命题是\stk{D}.\\ +\fourch{若~$a$、$b$~异面, $a\subset\alpha$,$b\subset\beta$, 且~$a\perp b$, 则~$\alpha\perp\beta$}{若~$a\parallel b$, $a\subset\alpha$, $b\subset\beta$,则~$\alpha\parallel\beta$}{若~$a\parallel \alpha$, +$b\subset\beta$, 则~$a$、$b$ 异面}{若~$a\perp b$, $a\perp\alpha$,$b\perp\beta$, 则~$\alpha\perp\beta$} + +\newpage +\jianda +\question 已知复数~$z$ 满足:${z}-z^*=\dfrac{10}{1-w\textbf{i}}$(其中~$z^*$ +是~$z$ 的共轭复数). +\begin{parts} +\part[7] 求复数~$z$; +\part[7] 若复数~$w=\cos\theta+\textbf{i}\sin\theta\,(\theta\in\mathbb{R})$, 求~${z-2}$ 的取值范围. +\end{parts} + +\begin{solution} +\begin{parts} +\part $z=3+4\textbf{i}$ +\part ${z-w}\in[4,6]$ +\end{parts} +\end{solution} + +\question[14] 函数~$f(x)=4\sin\dfrac{\pi}{12}x\cdot\sin + \left(\dfrac{\pi}{2}+\dfrac{\pi}{12}x\right),x\in[a,a+1]$, + 其中常数~$a\in[0,5]$, 求函数~$f(x)$ 的最大值~$g(a)$. + +\begin{solution} +略 +\end{solution} + +\newpage + +\question[16] 函数~$f(x)=4\sin\dfrac{\pi}{12}x\cdot\sin + \left(\dfrac{\pi}{2}+\dfrac{\pi}{12}x\right),x\in[a,a+1]$, + 其中常数~$a\in[0,5]$, 求函数~$f(x)$ 的最大值~$g(a)$. + +\begin{solution} +略 +\end{solution} + +\newpage +\question 已知复数~$z$ 满足:${z}-z^*=\dfrac{10}{1-w\textbf{i}}$(其中~$z^*$ +是~$z$ 的共轭复数). +\begin{parts} +\part[8] 求复数~$z$; +\part[8] 若复数~$w=\cos\theta+\textbf{i}\sin\theta\,(\theta\in\mathbb{R})$, 求~${z-2}$ 的取值范围. +\end{parts} + +\begin{solution} +\begin{parts} +\part $z=3+4\textbf{i}$ +\part ${z-w}\in[4,6]$ +\end{parts} +\end{solution} + +\newpage + +\question[18] 函数~$f(x)=4\sin\dfrac{\pi}{12}x\cdot\sin + \left(\dfrac{\pi}{2}+\dfrac{\pi}{12}x\right),x\in[a,a+1]$, + 其中常数~$a\in[0,5]$, 求函数~$f(x)$ 的最大值~$g(a)$. + +\begin{solution} +略 +\end{solution} + +\end{questions} +\end{document} diff --git a/macros/latex/contrib/bhcexam/test4.tex b/macros/latex/contrib/bhcexam/test4.tex new file mode 100644 index 0000000000..17a5ef8f9b --- /dev/null +++ b/macros/latex/contrib/bhcexam/test4.tex @@ -0,0 +1,144 @@ +\documentclass[UTF8,printbox]{BHCexam} +\begin{document} + +\maketitle +\notice + +\begin{questions} +\tiankong +\question 已知~$\bm{a}=(k,-9)$、$\bm{b}=(-1,k)$, $\bm{a}$~与~$\bm{b}$~为平行向量, + 则~$k=$\stk{$\pm3$}. + +\question 若函数~$f(x)=x^{6m^2-5m-4}\,(m\in\mathbb{Z})$~的图像关于~$y$~轴对称, + 且~$f(2)a>0$), 若再添加~$m\text{g}$~糖~($m>0$), + + +\question 已知~$f(x)=1-\textbf{c}_8^1x+\textbf{c}_8^2x^2-\textbf{c}_8^3x^3+\cdots+\textbf{c}_8^8x^8$, + 则~$f\big(\dfrac{1}{2}+\dfrac{\sqrt{3}}{2}\textbf{i}\big)$~的值是\ltk{$-\dfrac{1}{2}-\dfrac{\sqrt{3}}{2}\textbf{i}$}. + +\question 自然数~$1,2,3,\ldots,10$~的方差记为~$\sigma^2$, + 其中的偶数~$2,4,6,8,10$~的方差记为~$\sigma_1^2$, + 则~$\sigma^2$~与~$\sigma_1^2$~的大小关系为~$\sigma^2$\stk{$>$}$\sigma_1^2$. + +\question 若~$\theta$~为三角形的一个内角, 且~$\sin\theta+\cos\theta=\dfrac{2}{3}$, + 则方程~$x^2\csc\theta-y^2\sec\theta=1$~表示的曲线的焦点坐标是\stk{$\big(\pm\dfrac{\sqrt{6}}{3},0\big)$}. + + +\question 高为~$h$~的棱锥被平行于棱锥底面的截得棱台侧面积是 + 原棱锥的侧面积的~$\dfrac{5}{9}$, + 则截得的棱台的体积与原棱锥的体积之比是\stk{$19:27$}. + +\question 以椭圆~$\dfrac{x^2}{169}+\dfrac{y^2}{144}=1$~的右焦点为圆心, + 且与双曲线~$\dfrac{x^2}{9}-\dfrac{y^2}{16}=1$~的渐近线相切的圆方程是\mtk{$(x-5)^2+y^2=16$}. + + +\question 若~$\sqrt{\,\sin x}$~是有理数且~$x$~不是~$\dfrac{\pi}{6}$~的整数倍, + 则~$x$~可能取的值是\mtk{$\arcsin\dfrac{1}{4}$ 等}.(只要求写出一个) + +\question 马路上有编号~1~到~10~的~10~盏路灯, 为节约用电又不影响照明, + 可以关掉其中的~3~盏, 但又不能同时关掉相邻的两盏, 也不能关掉两端的路灯, + 满足条件的关灯方法有\stk{$20$}种. + + +\question 以椭圆~$\dfrac{x^2}{169}+\dfrac{y^2}{144}=1$~的右焦点为圆心, + 且与双曲线~$\dfrac{x^2}{9}-\dfrac{y^2}{16}=1$~的渐近线相切的圆方程是\mtk{$(x-5)^2+y^2=16$}. + +\question 若~$\sqrt{\,\sin x}$~是有理数且~$x$~不是~$\dfrac{\pi}{6}$~的整数倍, + 则~$x$~可能取的值是\mtk{$\arcsin\dfrac{1}{4}$ 等}.(只要求写出一个) + +\question 马路上有编号~1~到~10~的~10~盏路灯, 为节约用电又不影响照明, + 可以关掉其中的~3~盏, 但又不能同时关掉相邻的两盏, 也不能关掉两端的路灯, + 满足条件的关灯方法有\stk{$20$}种. + + +\question 以椭圆~$\dfrac{x^2}{169}+\dfrac{y^2}{144}=1$~的右焦点为圆心, + 且与双曲线~$\dfrac{x^2}{9}-\dfrac{y^2}{16}=1$~的渐近线相切的圆方程是\mtk{$(x-5)^2+y^2=16$}. + +\newpage + +\xuanze +\question 已知集合~$A=\{x\mid \abs{x-1}<3 \}$, +集合~$B=\{y| y=x^2+2x+1,x\in\mathbb{R}\}$, 则~$A\cap +\complement_U B$~为\stk{C}. +\twoch{$[\,0,4)$}{$(-\infty,-2\,]\cup[4,+\infty)$}{$(-2,0)$}{$(0,4)$} + +\question 若~$a$、$b$~是直线, $\alpha$、$\beta$~是平面, +则以下命题中真命题是\stk{D}.\\ +\fourch{若~$a$、$b$~异面, $a\subset\alpha$,$b\subset\beta$, 且~$a\perp b$, 则~$\alpha\perp\beta$}{若~$a\parallel b$, $a\subset\alpha$, $b\subset\beta$,则~$\alpha\parallel\beta$}{若~$a\parallel \alpha$, +$b\subset\beta$, 则~$a$、$b$ 异面}{若~$a\perp b$, $a\perp\alpha$,$b\perp\beta$, 则~$\alpha\perp\beta$} + +\question 已知集合~$A=\{x\mid \abs{x-1}<3 \}$, +集合~$B=\{y| y=x^2+2x+1,x\in\mathbb{R}\}$, 则~$A\cap +\complement_U B$~为\stk{C}. +\twoch{$[\,0,4)$}{$(-\infty,-2\,]\cup[4,+\infty)$}{$(-2,0)$}{$(0,4)$} + +\question 若~$a$、$b$~是直线, $\alpha$、$\beta$~是平面, +则以下命题中真命题是\stk{D}.\\ +\fourch{若~$a$、$b$~异面, $a\subset\alpha$,$b\subset\beta$, 且~$a\perp b$, 则~$\alpha\perp\beta$}{若~$a\parallel b$, $a\subset\alpha$, $b\subset\beta$,则~$\alpha\parallel\beta$}{若~$a\parallel \alpha$, +$b\subset\beta$, 则~$a$、$b$ 异面}{若~$a\perp b$, $a\perp\alpha$,$b\perp\beta$, 则~$\alpha\perp\beta$} + +\newpage +\jianda +\question 已知复数~$z$ 满足:$\abs{z}-z^*=\dfrac{10}{1-w\textbf{i}}$(其中~$z^*$ +是~$z$ 的共轭复数). +\begin{parts} +\part[7] 求复数~$z$; +\part[7] 若复数~$w=\cos\theta+\textbf{i}\sin\theta\,(\theta\in\mathbb{R})$, 求~$\abs{z-2}$ 的取值范围. +\end{parts} + +\begin{solution} +\begin{parts} +\part $z=3+4\textbf{i}$ +\part $\abs{z-w}\in[4,6]$ +\end{parts} +\end{solution} + +\question[14] 函数~$f(x)=4\sin\dfrac{\pi}{12}x\cdot\sin + \left(\dfrac{\pi}{2}+\dfrac{\pi}{12}x\right),x\in[a,a+1]$, + 其中常数~$a\in[0,5]$, 求函数~$f(x)$ 的最大值~$g(a)$. + +\begin{solution} +略 +\end{solution} + +\newpage + +\question[16] 函数~$f(x)=4\sin\dfrac{\pi}{12}x\cdot\sin + \left(\dfrac{\pi}{2}+\dfrac{\pi}{12}x\right),x\in[a,a+1]$, + 其中常数~$a\in[0,5]$, 求函数~$f(x)$ 的最大值~$g(a)$. + +\begin{solution} +略 +\end{solution} + +\newpage +\question 已知复数~$z$ 满足:$\abs{z}-z^*=\dfrac{10}{1-w\textbf{i}}$(其中~$z^*$ +是~$z$ 的共轭复数). +\begin{parts} +\part[8] 求复数~$z$; +\part[8] 若复数~$w=\cos\theta+\textbf{i}\sin\theta\,(\theta\in\mathbb{R})$, 求~$\abs{z-2}$ 的取值范围. +\end{parts} + +\begin{solution} +\begin{parts} +\part $z=3+4\textbf{i}$ +\part $\abs{z-w}\in[4,6]$ +\end{parts} +\end{solution} + +\newpage + +\question[18] 函数~$f(x)=4\sin\dfrac{\pi}{12}x\cdot\sin + \left(\dfrac{\pi}{2}+\dfrac{\pi}{12}x\right),x\in[a,a+1]$, + 其中常数~$a\in[0,5]$, 求函数~$f(x)$ 的最大值~$g(a)$. + +\begin{solution} +略 +\end{solution} + +\end{questions} +\end{document} -- cgit v1.2.3