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author | Karl Berry <karl@freefriends.org> | 2024-03-14 20:22:32 +0000 |
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committer | Karl Berry <karl@freefriends.org> | 2024-03-14 20:22:32 +0000 |
commit | 2bb8d5e07c328b2737d7e4ba46365bffa060b64f (patch) | |
tree | 9afb49663c9072993cb477a649c66bfd7363e51f /Master/texmf-dist/doc | |
parent | f7004d19658397ec2ff9af87ee2f84509872a77e (diff) |
jnuexam (14mar24)
git-svn-id: svn://tug.org/texlive/trunk@70636 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/doc')
22 files changed, 551 insertions, 140 deletions
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047319bf581..00000000000 --- a/Master/texmf-dist/doc/latex/jnuexam/exam-b-empty.pdf +++ /dev/null diff --git a/Master/texmf-dist/doc/latex/jnuexam/examfc-a-answer.pdf b/Master/texmf-dist/doc/latex/jnuexam/examfc-a-answer.pdf Binary files differnew file mode 100644 index 00000000000..f6f0a506494 --- /dev/null +++ b/Master/texmf-dist/doc/latex/jnuexam/examfc-a-answer.pdf diff --git a/Master/texmf-dist/doc/latex/jnuexam/exam-a-answer.tex b/Master/texmf-dist/doc/latex/jnuexam/examfc-a-answer.tex index 28d7c755522..e68f2c3da9c 100644 --- a/Master/texmf-dist/doc/latex/jnuexam/exam-a-answer.tex +++ b/Master/texmf-dist/doc/latex/jnuexam/examfc-a-answer.tex @@ -1,83 +1,85 @@ % -*- coding: utf-8 -*- % !TEX program = xelatex -\documentclass{jnuexam} +\documentclass[chinese]{jnuexam} % 中文试卷 -%\answerfalse %不显示答案 +%\SetExamBoolFalse{answer} %不显示答案 -\setexam{ - binding = 2, % 装订线,1 仅空白试卷有,2 试卷和答案都有 - scratch = 1, % 草稿纸数量,仅空白试卷有,A3 大小,双面印刷 +\SetExamOption{ + binding = 2, % 装订线,1 仅空白试卷有,2 试卷和答案都有 + scratch = 1, % 草稿纸数量,仅空白试卷有,A3 大小,双面印刷 seed = 19061116, % 随机数种子,用于改变 B 卷小题的随机顺序 } \begin{document} -\renewcommand{\niandu}{2017--2018} -\renewcommand{\xueqi}{2} -\renewcommand{\kecheng}{大学数学} -\renewcommand{\zhuanye}{理工四学分} % 可以为空白 -\renewcommand{\jiaoshi}{张三,李四,王五} % 教师姓名 -\renewcommand{\shijian}{2018~年~06~月~28~日} -\renewcommand{\bixiu}{1} % 1 为必修,0 为选修 -\renewcommand{\bijuan}{1} % 1 为闭卷,0 为开卷 -\renewcommand{\shijuan}{A} % A 或 B 或 C 卷 -\renewcommand{\neizhao}{1} % 1 打勾,0 不勾 -\renewcommand{\waizhao}{0} % 1 打勾,0 不勾 +\examtitle{ % 生成试卷表头 + niandu = 2017--2018, + xueqi = 2, + kecheng = 大学数学, + zhuanye = 理工四学分, % 可以为空白 + jiaoshi = {张三,李四,王五}, % 教师姓名 + shijian = 2018~年~06~月~28~日, + bixiu = 1, % 1 为必修,0 为选修 + bijuan = 1, % 1 为闭卷,0 为开卷 + shijuan = A, % A 或 B 或 C 卷 + neizhao = 1, % 1 打勾,0 不勾 + waizhao = 0, % 1 打勾,0 不勾 +} -\makehead % 生成试卷表头 +\gradetable[total=4] % 生成评分表 -\makepart{填空题}{共~6~小题,每小题~3~分,共~18~分} +\exampart{填空题}[共~6~小题,每小题~3~分,共~18~分] -\answertable[3em]{6}{3} % 生成答题栏:行高3em,总共6题,每行3题 +\answertable[total=6,column=3,strut=3em] % 生成答题栏:行高3em,总共6题,每行3题 -\begin{problem} -设常数$k>0$,函数$f(x)=\ln x-\dfrac{x}{\e}+k$在$(0,+\infty)$内零点的个数为 \fillout{$2$}. -\end{problem} +\begin{question} +设常数$k>0$,函数$f(x)=\ln x-\frac{x}{\e}+k$在$(0,+\infty)$内零点的个数为 \fillout{$2$}. +\end{question} \vfill -\begin{problem} +\begin{question} 设$\va=(2,1,2)$,$\vb=(4,-1,10)$,$\vc=\vb-\lambda\va$,且$\va\bot\vc$,则$\lambda=$ \fillout{$3$}. -\end{problem} +\end{question} \vfill -\begin{problem} +\begin{question} 已知二阶行列式 $\left|\begin{array}{cc} 1 & 2\\ - 3 & x \end{array}\right|=0$,则 $x=$ \fillout{$-6$}. -\end{problem} +\end{question} \vfill -\begin{problem} +\begin{question} 向量组 $\alpha_1=(1,1,0), \alpha_2=(0,1,1), \alpha_3=(1,0,1)$, 则将向量 $\beta=(4, 5, 3)$ 表示为 $\alpha_1, \alpha_2, \alpha_3$ 的线性组合为 $\beta=$ \fillout{$3\alpha_1+2\alpha_2+\alpha_3$}. -\end{problem} +\end{question} \vfill -\begin{problem} +\begin{question} 已知随机变量$\xi$的期望和方差各为$E\xi=3, D\xi=2$, 则$E\xi^2=$ \fillout{$11$}. -\end{problem} +\end{question} \vfill -\begin{problem} +\begin{question} 已知$\xi$和$\eta$相互独立且$\xi\sim N(1,4), \eta\sim N(2,5)$,则$\xi-2\eta\sim$ \fillout{$N(-3,24)$}. -\end{problem} +\end{question} \vfill \newpage -\makepart{单选题}{共~6~小题,每小题~3~分,共~18~分} +\exampart{单选题}[共~6~小题,每小题~3~分,共~18~分] -\answertable{6}{6} % 生成答题栏:默认行高,总共8题,每行8题 +\answertable[total=6,column=6] % 生成答题栏:默认行高,总共6题,每行6题 -\begin{problem} +\begin{question} 在下列等式中,正确的结果是\pickout{C} \begin{abcd} \item $\int f'(x)\dx=f(x)$ @@ -85,11 +87,11 @@ \item $\frac{\d}{\dx}\big(\int f(x)\dx\big)=f(x)$ \item $\d\big(\int f(x)\dx\big)=f(x)$ \end{abcd} -\end{problem} +\end{question} \bigskip -\begin{problem} +\begin{question} 假设$F(x)$是连续函数$f(x)$的一个原函数,则必有\pickout{A} \begin{abcd} \item $F(x)$是偶函数 $\Leftrightarrow$ $f(x)$是奇函数 @@ -97,11 +99,11 @@ \item $F(x)$是周期函数 $\Leftrightarrow$ $f(x)$是周期函数 \item $F(x)$是单调函数 $\Leftrightarrow$ $f(x)$是单调函数 \end{abcd} -\end{problem} +\end{question} \bigskip -\begin{problem} +\begin{question} 设矩阵 $A = \left(\begin{array}{ccc} 1 & 1 & 0\\ 1 & x & 0\\ @@ -114,11 +116,11 @@ \item $0$ \item $-1$ \end{abcd} -\end{problem} +\end{question} \bigskip -\begin{problem} +\begin{question} 二次型 $f = 4 x_1^2 - 2 x_1 x_2 + 6 x_2^2$ 对应的矩阵等于 \pickout{C} \begin{abcd} \item $\left(\begin{array}{cc} @@ -138,11 +140,11 @@ - 1 & 3 \end{array}\right)$ \end{abcd} -\end{problem} +\end{question} \bigskip -\begin{problem} +\begin{question} 下列说法\CJKunderline{不正确}的是\pickout{B} \begin{abcd} \item 大数定律说明了大量相互独立且同分布的随机变量的均值的稳定性 @@ -150,11 +152,11 @@ \item 中心极限定理说明了大量相互独立且同分布的随机变量的和的稳定性 \item 中心极限定理说明大量相互独立且同分布的随机变量的和近似于正态分布 \end{abcd} -\end{problem} +\end{question} \bigskip -\begin{problem} +\begin{question} 对总体$X$和样本$(X_1,\cdots,X_n)$的说法哪个是\CJKunderline{不正确}的\pickout{D} \begin{abcd} \item 总体是随机变量 @@ -162,17 +164,17 @@ \item $X_1, \cdots, X_n$相互独立 \item $X_1 = X_2 =\cdots = X_n$ \end{abcd} -\end{problem} +\end{question} \bigskip \newpage -\makepart{计算题}{共~6~小题,每小题~8~分,共~48~分} +\exampart{计算题}[共~6~小题,每小题~8~分,共~48~分] -\begin{problem} +\begin{question} 求不定积分$\displaystyle\int\e^{2x}\,(\tan x+1)^2\dx$。 -\end{problem} +\end{question} \smallskip @@ -186,9 +188,9 @@ \vfill -\begin{problem} +\begin{question} 求过点$A(1,2,-1), B(2,3,0),C(3,3,2)$ 的三角形$\triangle ABC$ 的面积和它们确定的平面方程. -\end{problem} +\end{question} \smallskip @@ -199,8 +201,8 @@ 1&1&1\\ 2&1&3\\ \end{vmatrix}=(2,-1,-1)$, \points{4} -三角形$\triangle ABC$ 的面积为$S_{\triangle ABC}=\dfrac{1}{2}\big|\overrightarrow{AB}\times -\overrightarrow{AC}\big|=\dfrac{1}{2}\sqrt{6}.$ \points{6} +三角形$\triangle ABC$ 的面积为$S_{\triangle ABC}=\frac{1}{2}\big|\overrightarrow{AB}\times +\overrightarrow{AC}\big|=\frac{1}{2}\sqrt{6}.$ \points{6} 所求平面的方程为$2(x-2)-(y-3)-z=0$, 即$2x-y-z-1=0$ \points{8} \end{solution} @@ -208,14 +210,14 @@ \newpage -\begin{problem} +\begin{question} 计算四阶行列式 $A = \left|\begin{array}{cccc} 0 & 1 & 2 & 3\\ 1 & 2 & 3 & 0\\ 2 & 3 & 0 & 1\\ 3 & 0 & 1 & 2 \end{array}\right|$ 的值. -\end{problem} +\end{question} \smallskip @@ -247,10 +249,10 @@ $A \? = \left|\begin{array}{cccc} \vfill -\begin{problem} +\begin{question} 利用配方法,将二次型 $f = x_1^2 + 2 x_1 x_2 - 6 x_1 x_3 + 2 x_2^2 - 12 x_2 x_3 + 9 x^2_3$ 化为标准形 $f = d_1 y^2_1 + d_2 y^2_2 + d_3 y^2_3$ . -\end{problem} +\end{question} \smallskip @@ -268,11 +270,11 @@ $f \? = x_1^2 + 2 x_1 x_2 - 6 x_1 x_3 + 2 x_2^2 - 12 x_2 x_3 + 9 x^2_3$ \par \newpage -\begin{problem} +\begin{question} 设每发炮弹命中飞机的概率是0.2且相互独立,现在发射100发炮弹.\par (1) 用切贝谢夫不等式估计命中数目$\xi$在10发到30发之间的概率.\par (2) 用中心极限定理估计命中数目$\xi$在10发到30发之间的概率. -\end{problem} +\end{question} \smallskip @@ -287,10 +289,10 @@ $E\xi = n p = 100 \cdot 0.2 = 20, D\xi = n p q = 100 \cdot 0.2 \cdot 0.8 = 16$. \vfill -\begin{problem} +\begin{question} 从正态总体$N(\mu,\sigma^2)$中抽出样本容量为16的样本,算得其平均数为3160,标准差为100. 试检验假设$H_0:\mu=3140$是否成立($\alpha = 0.01$). -\end{problem} +\end{question} \smallskip @@ -306,13 +308,13 @@ $E\xi = n p = 100 \cdot 0.2 = 20, D\xi = n p q = 100 \cdot 0.2 \cdot 0.8 = 16$. \newpage -\makepart{证明题}{共~2~小题,每小题~8~分,共~16~分} +\exampart{证明题}[共~2~小题,每小题~8~分,共~16~分] -\renewcommand{\solutionname}{证} % 将“解”字改为“证”字 +\SetExamTranslation{solution-Solution=证} % 将“解”字改为“证”字 -\begin{problem} +\begin{question} 设数列$\{x_n\}$满足$x_1=\sqrt2$,$x_{n+1}=\sqrt{2+x_n}$.证明数列收敛,并求出极限. -\end{problem} +\end{question} \smallskip @@ -330,9 +332,9 @@ $$A=\sqrt{2+A}.$$ \vfill -\begin{problem} +\begin{question} 设事件$A$和$B$相互独立,证明$A$和$\widebar{B}$相互独立. -\end{problem} +\end{question} \smallskip @@ -345,7 +347,7 @@ $$A=\sqrt{2+A}.$$ \vfill -\makedata{一些可能用到的数据} %附录数据 +\examdata{一些可能用到的数据} %附录数据 \begin{tabularx}{\linewidth}{*{4}{>{$}X<{$}}} \hline diff --git a/Master/texmf-dist/doc/latex/jnuexam/examfc-a-blank.pdf b/Master/texmf-dist/doc/latex/jnuexam/examfc-a-blank.pdf Binary files differnew file mode 100644 index 00000000000..09d8a14b153 --- /dev/null +++ b/Master/texmf-dist/doc/latex/jnuexam/examfc-a-blank.pdf diff --git a/Master/texmf-dist/doc/latex/jnuexam/exam-b-empty.tex b/Master/texmf-dist/doc/latex/jnuexam/examfc-a-blank.tex index 953a4aab9ff..4d1ccf82c94 100644 --- a/Master/texmf-dist/doc/latex/jnuexam/exam-b-empty.tex +++ b/Master/texmf-dist/doc/latex/jnuexam/examfc-a-blank.tex @@ -3,4 +3,4 @@ % 重新排版原有的 A4 试卷,不显示答案 \PassOptionsToClass{noanswer}{jnuexam} -\input{exam-b-answer} +\input{examfc-a-answer} diff --git a/Master/texmf-dist/doc/latex/jnuexam/examfc-b-answer.pdf b/Master/texmf-dist/doc/latex/jnuexam/examfc-b-answer.pdf Binary files differnew file mode 100644 index 00000000000..2356b53690f --- /dev/null +++ b/Master/texmf-dist/doc/latex/jnuexam/examfc-b-answer.pdf diff --git a/Master/texmf-dist/doc/latex/jnuexam/exam-b-answer.tex b/Master/texmf-dist/doc/latex/jnuexam/examfc-b-answer.tex index 6925ea8fff7..e850a68bb38 100644 --- a/Master/texmf-dist/doc/latex/jnuexam/exam-b-answer.tex +++ b/Master/texmf-dist/doc/latex/jnuexam/examfc-b-answer.tex @@ -3,4 +3,4 @@ % 从 A 卷自动生成 B 卷,将题目乱序排列 \PassOptionsToClass{random}{jnuexam} -\input{exam-a-answer} +\input{examfc-a-answer} diff --git a/Master/texmf-dist/doc/latex/jnuexam/examfc-b-blank.pdf b/Master/texmf-dist/doc/latex/jnuexam/examfc-b-blank.pdf Binary files differnew file mode 100644 index 00000000000..d9160a13edc --- /dev/null +++ b/Master/texmf-dist/doc/latex/jnuexam/examfc-b-blank.pdf diff --git a/Master/texmf-dist/doc/latex/jnuexam/exam-a-empty.tex b/Master/texmf-dist/doc/latex/jnuexam/examfc-b-blank.tex index 23099457379..3a9dea5d814 100644 --- a/Master/texmf-dist/doc/latex/jnuexam/exam-a-empty.tex +++ b/Master/texmf-dist/doc/latex/jnuexam/examfc-b-blank.tex @@ -3,4 +3,4 @@ % 重新排版原有的 A4 试卷,不显示答案 \PassOptionsToClass{noanswer}{jnuexam} -\input{exam-a-answer} +\input{examfc-b-answer} diff --git a/Master/texmf-dist/doc/latex/jnuexam/examfe-a-answer.pdf b/Master/texmf-dist/doc/latex/jnuexam/examfe-a-answer.pdf Binary files differnew file mode 100644 index 00000000000..6ac1d17806d --- /dev/null +++ b/Master/texmf-dist/doc/latex/jnuexam/examfe-a-answer.pdf diff --git a/Master/texmf-dist/doc/latex/jnuexam/examfe-a-answer.tex b/Master/texmf-dist/doc/latex/jnuexam/examfe-a-answer.tex new file mode 100644 index 00000000000..ee35652a916 --- /dev/null +++ b/Master/texmf-dist/doc/latex/jnuexam/examfe-a-answer.tex @@ -0,0 +1,375 @@ +% -*- coding: utf-8 -*- +% !TEX program = xelatex +\documentclass[english]{jnuexam} % 英文试卷 + +%\SetExamBoolFalse{answer} % hide answers + +\SetExamOption{ + binding = 1, % 装订线,1 仅空白试卷有,2 试卷和答案都有 + scratch = 1, % 草稿纸数量,仅空白试卷有,A3 大小,双面印刷 + seed = 19061116, % 随机数种子,用于改变 B 卷小题的随机顺序 +} + +\begin{document} + +% make exam title +\examtitle{ + AcademicYear = 2016--2017, % 教学年度 + Semester = 2, % 第几学期 + CourseTitle = Math 1906, % 课程名称 + Instructor = {Jianrui Lyu}, % 教师姓名 + Date = dd/mm/yyyy, % 考试时间 + Compulsory = 1, % 是否必修:1 为必修,0 为选修 + ClosedBook = 1, % 是否闭卷:1 为闭卷,0 为开卷 + Paper = A, % 试卷版本:A 或 B 或 C 卷 + Mainland = 0, % 内招适用:1 打勾,0 不勾 + NonMainland = 1, % 外招适用:1 打勾,0 不勾 +} + +\gradetable[total=4] + +\exampart{Fill in the blanks.}[6 questions; 3 points for each; 18 points in total.] + +% make answer table: six in total, three for each row, strut height 3em +\answertable[total=6,column=3,strut=3em] + +\begin{question} +The first question $k>0$, text $f(x)=\ln x-\frac{x}{\e}+k$ text $(0,+\infty)$ +text text text text text text text text text text text text text text text text +text text text text text text text text text text text text text \fillout{$2$}. +\end{question} + +\bigskip + +\begin{question} +The second question $\va=(2,1,2)$, $\vb=(4,-1,10)$, $\vc=\vb-\lambda\va$, +text text text $\va\bot\vc$, text text text text text text text text text +text text text text text $\lambda=$ \fillout{$3$}. +\end{question} + +\bigskip + +\begin{question} +The third question $\left|\begin{array}{cc} + 1 & 2\\ + -3 & x +\end{array}\right|=0$, text text text text text text text text +text text text text text text text text text $x=$ \fillout{$-6$}. +\end{question} + +\bigskip + +\begin{question} +The fourth question $\alpha_1=(1,1,0), \alpha_2=(0,1,1), \alpha_3=(1,0,1)$, +text $\beta=(4, 5, 3)$ text $\alpha_1, \alpha_2, \alpha_3$ text text text text +text text text text text text text text text text text text text text text text +text text text text text text $\beta=$ \fillout{$3\alpha_1+2\alpha_2+\alpha_3$}. +\end{question} + +\bigskip + +\begin{question}%[points=3] +The fifth question $\xi$ text text text $E\xi=3, D\xi=2$, text text text text text +text text text text text text text text text text $E\xi^2=$ \fillout{$11$}. +\end{question} + +\bigskip + +\begin{question} +The sixth question $\xi$ text text text text $\eta$ text text text text $\xi\sim N(1,4), +\eta\sim N(2,5)$, text text text text text text text text text text text text text text +text text text text text text text text text text $\xi-2\eta\sim$ \fillout{$N(-3,24)$}. +\end{question} + +\bigskip + +\newpage + +\exampart{Select one answer from four choices.}[6 questions; 3 points for each; 18 points in total.] + +% make answer table: six in total, six for each row, default strut height +\answertable[total=6,column=6] + +\begin{question} +The first question text, text text text text text text text text text text +text text text text text text text text text text text text text \pickout{C} +\begin{abcd} +\item first $\int f'(x)\dx=f(x)$ +\item second $\int \d f(x)=f(x)$ +\item third $\frac{\d}{\dx}\big(\int f(x)\dx\big)=f(x)$ +\item fourth $\d\big(\int f(x)\dx\big)=f(x)$ +\end{abcd} +\end{question} + +\bigskip + +\begin{question} +The second question $F(x)$ text $f(x)$ text, text \pickout{A} +\begin{abcd} +\item first choice $F(x)$ text $\Leftrightarrow$ $f(x)$ text +\item second choice $F(x)$ text text $\Leftrightarrow$ $f(x)$ text +\item third choice $F(x)$ text $\Leftrightarrow$ $f(x)$ text text +\item fourth choice $F(x)$ text text $\Leftrightarrow$ $f(x)$ text text +\end{abcd} +\end{question} + +\bigskip + +\begin{question} +The third question $A = \left(\begin{array}{ccc} + 1 & 1 & 0\\ + 1 & x & 0\\ + 0 & 0 & 1 +\end{array}\right)$ text text $\lambda_1 = 1$ text $\lambda_2 += 2$, text $x=$ \pickout{B} +\begin{abcd} +\item $2$ +\item $1$ +\item $0$ +\item $-1$ +\end{abcd} +\end{question} + +\bigskip + +\begin{question} +The fourth question $f = 4 x_1^2 - 2 x_1 x_2 + 6 x_2^2$ text text text text text text +text text text text text text text text text text text text text text text \pickout{C} +\begin{abcd} +\item $\left(\begin{array}{cc} + 4 & - 2\\ + - 2 & 6 +\end{array}\right)$ +\item $\left(\begin{array}{cc} + 2 & - 2\\ + - 2 & 3 +\end{array}\right)$ +\item $\left(\begin{array}{cc} + 4 & - 1\\ + - 1 & 6 +\end{array}\right)$ +\item $\left(\begin{array}{cc} + 2 & - 1\\ + - 1 & 3 +\end{array}\right)$ +\end{abcd} +\end{question} + +\bigskip + +\begin{question} +The fifth question \underline{wrong} text \pickout{B} +\begin{abcd} +\item first choice text text text text text text text text text +\item second choice text text text text text text text text text +\item third choice text text text text text text text text text +\item fourth choice text text text text text text text text text +\end{abcd} +\end{question} + +\bigskip + +\begin{question} +The sixth question $X$ text $(X_1,\cdots,X_n)$ text \underline{wrong} text text +text text text text text text text text text text text text text text \pickout{D} +\begin{abcd} +\item text text text +\item text $n$ text +\item $X_1, \cdots, X_n$ text +\item $X_1 = X_2 =\cdots = X_n$ +\end{abcd} +\end{question} + +\bigskip + +\newpage + +\exampart{Work out math questions.}[6 questions; 8 points for each; 48 points in total.] + +\begin{question} +The first question $\int\e^{2x}\,(\tan x+1)^2\dx$. +\end{question} + +\smallskip + +\begin{solution} +$I$ \? $=\int\e^{2x}\,\sec^2 x\dx+2\int\e^{2x}\,\tan x\dx$ \points{2} +\+ $=\int\e^{2x}\,\d(\tan x)+ 2\int\e^{2x}\,\tan x\dx$ \points{4} +\+ $=\e^{2x}\,\tan x - 2\int\e^{2x}\,\tan x\dx+ 2\int\e^{2x}\,\tan x\dx$ \points{6} +\+ $=\e^{2x}\,\tan x + C$ \points{8} +\end{solution} + +\vfill + +\begin{question} +The second question $A(1,2,-1), B(2,3,0),C(3,3,2)$ text $\triangle ABC$ text text text text text text. +\end{question} + +\smallskip + +\begin{solution} +Text $\overrightarrow{AB}=(1,1,1),\overrightarrow{AC}=(2,1,3)$, \points{2} +text $\overrightarrow{AB}\times \overrightarrow{AC}=\begin{vmatrix} +\vec{i}&\vec{j} &\vec{k}\\ +1&1&1\\ +2&1&3\\ +\end{vmatrix}=(2,-1,-1)$, \points{4} +text $\triangle ABC$ text $S_{\triangle ABC}=\frac{1}{2}\big|\overrightarrow{AB}\times +\overrightarrow{AC}\big|=\frac{1}{2}\sqrt{6}.$ \points{6} +Text text $2(x-2)-(y-3)-z=0$, text $2x-y-z-1=0$. \points{8} +\end{solution} + +\vfill + +\newpage + +\begin{question} +The third question $A = \left|\begin{array}{cccc} + 0 & 1 & 2 & 3\\ + 1 & 2 & 3 & 0\\ + 2 & 3 & 0 & 1\\ + 3 & 0 & 1 & 2 +\end{array}\right|$ text. +\end{question} + +\smallskip + +\begin{solution} +$A \? = \left|\begin{array}{cccc} + 0 & 1 & 2 & 3\\ + 1 & 2 & 3 & 0\\ + 2 & 3 & 0 & 1\\ + 3 & 0 & 1 & 2 + \end{array}\right| = \left|\begin{array}{cccc} + 0 & 1 & 2 & 3\\ + 1 & 2 & 3 & 0\\ + 0 & - 1 & - 6 & 1\\ + 0 & - 6 & - 8 & 2 + \end{array}\right| = 1 \cdot (- 1)^{2 + 1} \left|\begin{array}{ccc} + 1 & 2 & 3\\ + - 1 & - 6 & 1\\ + - 6 & - 8 & 2 + \end{array}\right|$ \points{4} +\+ $= -\left|\begin{array}{ccc} + 1 & 2 & 3\\ + 0 & - 4 & 4\\ + 0 & 4 & 20 + \end{array}\right| = - \left|\begin{array}{cc} + - 4 & 4\\ + 4 & 20 + \end{array}\right| = -(-4\cdot20-4\cdot4) = 96$ \points{8} +\end{solution} + +\vfill + +\begin{question} +The fourth question, tex text $f = x_1^2 + 2 x_1 x_2 - 6 x_1 x_3 + 2 x_2^2 - 12 +x_2 x_3 + 9 x^2_3$ text text $f = d_1 y^2_1 + d_2 y^2_2 + d_3 y^2_3$. +\end{question} + +\smallskip + +\begin{solution} +$f \? = x_1^2 + 2 x_1 x_2 - 6 x_1 x_3 + 2 x_2^2 - 12 x_2 x_3 + 9 x^2_3$ \par + \+ $= x_1^2 + 2 x_1 (x_2 - 3 x_3) + (x_2 - 3 x_3)^2 + x_2^2 - 6 x_2 x_3 $ \par + \+ $= (x_1 + x_2 - 3 x_3)^2 + x_2^2 - 6 x_2 x_3$ \points{3} + \+ $= (x_1 + x_2 - 3 x_3)^2 + x_2^2 - 2 x_2 \cdot 3 x_3 + (3 x_3)^2 - 9x_3^2$ \par + \+ $= (x_1 + x_2 - 3 x_3)^2 + (x_2 - 3 x_3)^2 - 9 x_3^2$ \points{6} +Text $y_1 = x_1 + x_2 - 3 x_3, y_2 = x_2 - 3 x_3, y_3 = x_3$, \newline +text $f = y_1^2 + y_2^2 - 9y_3^2$ text.\points{8} +\end{solution} + +\vfill + +\newpage + +\begin{question} +The fifth question text text text $0.2$ text text, text text $100$ text text.\par +(1) text text text text text text $\xi$ text $10$ text $30$ text.\par +(2) text text text text text $\xi$ text $10$ text $30$ text. +\end{question} + +\smallskip + +\begin{solution} +$E\xi = n p = 100 \cdot 0.2 = 20, D\xi = n p q = 100 \cdot 0.2 \cdot 0.8 = 16$. \points{2} +(1) $P (10 < \xi < 30) = P (|\xi - E\xi| < 10) \ge 1 - \frac{D\xi}{10^2} + = 1 - \frac{16}{100} = 0.84$. \points{4} +(2) $P (10 < \xi < 30) \? \approx \Phi_0\left(\frac{30 - 20}{\sqrt{16}}\right) + - \Phi_0\left(\frac{10 - 20}{\sqrt{16}}\right)$ \points{6} + \+ $= 2 \Phi_0(2.5) - 1 = 2 \cdot 0.9938 - 1 =0.9876$ \points{8} +\end{solution} + +\vfill + +\begin{question} +The sixth question $N(\mu,\sigma^2)$ text text $16$ text, text text text $3160$, text text $100$. +Text text $H_0:\mu=3140$ text text ($\alpha = 0.01$). +\end{question} + +\smallskip + +\begin{solution} +(1) Text text $H_0 : \mu = 3140$. \points{2} +(2) Text text text $T = \frac{\widebar{X}-\mu}{S / \sqrt{n}} \sim t(n-1)$. \points{3} +(3) Text text $t_{\alpha} = t_{\alpha} (n - 1) = t_{0.01} (15) =2.947$. \points{5} +(4) Text text text $t = \frac{\widebar{x} - \mu_0}{s/\sqrt{n}} =\frac{3160-3140}{100/4} = 0.8$.\points{7} +(5) Text $| t | < t_{\alpha}$, text text $H_0$, text text text. \points{8} +\end{solution} + +\vfill + +\newpage + +\exampart{Work out math proofs.}[2 questions; 16 points in total.] + +\SetExamTranslation{solution-Solution=Proof} % rename "Solution" as "Proof" + +\begin{question}[points=9] +The first question $\{x_n\}$ text $x_1=\sqrt2$, $x_{n+1}=\sqrt{2+x_n}$. +Text text text, text text text. +\end{question} + +\smallskip + +\begin{solution} +(1) Text, text $x_1<2$, text $x_k<2$ text +$$x_{k+1}=\sqrt{2+x_k}<\sqrt{2+2}=2,$$ +Text text text text text $n$ text $x_n<2$, text text text. +Text text +$$\frac{x_{n+1}}{x_n}=\sqrt{\frac{2}{x_n^2}+\frac{1}{x_n}}>\sqrt{\frac{2}{2^2}+\frac{1}{2}}=1,$$ +Text text text text text. Text text text text text, Text text text text.\points{4} +(2) Text text text text $A$, text text text text text text +$$A=\sqrt{2+A}.$$ +Text text $A=2$, text text $\{x_n\}$ text text text $2$.\points{8} +\end{solution} + +\vfill + +\begin{question}[points=7] +The second question $A$ text $B$ text, text $A$ text $\widebar{B}$ text. +\end{question} + +\smallskip + +\begin{solution} +\? $P (A \cdot \widebar{B}) = P (A - B) = P (A - A B)$ \points{2} +\< $= P (A) - P (A B) = P (A) - P (A) P (B)$ \points{4} +\< $= P (A) (1 - P (B)) = P (A) P (\widebar{B})$ \points{6} +Text text text $A$ text text text $\widebar{B}$ text text text.\points{8} +\end{solution} + +\vfill + +\examdata{Some data may be used in the exam} % appendix data + +\begin{tabularx}{\linewidth}{*{4}{>{$}X<{$}}} +\hline +\Phi_0(0.5)=0.6915 & \Phi_0(1)=0.8413 & \Phi_0(2)=0.9773 & \Phi_0(2.5)=0.9938 \\ +t_{0.01}(8)=3.355 & t_{0.01}(9)=3.250 & t_{0.01}(15)=2.947 & t_{0.01}(16)=2.921 \\ +\chi_{0.005}^2(8)=22.0 & \chi_{0.005}^2(9)=23.6 & \chi_{0.005}^2(15)=32.8 & \chi_{0.005}^2(16)=34.3 \\ +\chi_{0.995}^2(8)=1.34 & \chi_{0.995}^2(9)=1.73 & \chi_{0.995}^2(15)=4.60 & \chi_{0.995}^2(16)=5.14 \\ +\hline +\end{tabularx} + +\end{document} diff --git a/Master/texmf-dist/doc/latex/jnuexam/examfe-a-blank.pdf b/Master/texmf-dist/doc/latex/jnuexam/examfe-a-blank.pdf Binary files differnew file mode 100644 index 00000000000..4192ead99f0 --- /dev/null +++ b/Master/texmf-dist/doc/latex/jnuexam/examfe-a-blank.pdf diff --git a/Master/texmf-dist/doc/latex/jnuexam/examfe-a-blank.tex b/Master/texmf-dist/doc/latex/jnuexam/examfe-a-blank.tex new file mode 100644 index 00000000000..c017f4b5280 --- /dev/null +++ b/Master/texmf-dist/doc/latex/jnuexam/examfe-a-blank.tex @@ -0,0 +1,6 @@ +% -*- coding: utf-8 -*- +% !TEX program = xelatex + +% Typeset original exam, hiding answers +\PassOptionsToClass{noanswer}{jnuexam} +\input{examfe-a-answer} diff --git a/Master/texmf-dist/doc/latex/jnuexam/examfe-b-answer.pdf b/Master/texmf-dist/doc/latex/jnuexam/examfe-b-answer.pdf Binary files differnew file mode 100644 index 00000000000..bf5e9342eef --- /dev/null +++ b/Master/texmf-dist/doc/latex/jnuexam/examfe-b-answer.pdf diff --git a/Master/texmf-dist/doc/latex/jnuexam/examfe-b-answer.tex b/Master/texmf-dist/doc/latex/jnuexam/examfe-b-answer.tex new file mode 100644 index 00000000000..b46878822f5 --- /dev/null +++ b/Master/texmf-dist/doc/latex/jnuexam/examfe-b-answer.tex @@ -0,0 +1,6 @@ +% -*- coding: utf-8 -*- +% !TEX program = xelatex + +% Generate version B from version A, shuffling questions +\PassOptionsToClass{random}{jnuexam} +\input{examfe-a-answer} diff --git a/Master/texmf-dist/doc/latex/jnuexam/examfe-b-blank.pdf b/Master/texmf-dist/doc/latex/jnuexam/examfe-b-blank.pdf Binary files differnew file mode 100644 index 00000000000..c37242241f3 --- /dev/null +++ b/Master/texmf-dist/doc/latex/jnuexam/examfe-b-blank.pdf diff --git a/Master/texmf-dist/doc/latex/jnuexam/examfe-b-blank.tex b/Master/texmf-dist/doc/latex/jnuexam/examfe-b-blank.tex new file mode 100644 index 00000000000..b09d13c45c0 --- /dev/null +++ b/Master/texmf-dist/doc/latex/jnuexam/examfe-b-blank.tex @@ -0,0 +1,6 @@ +% -*- coding: utf-8 -*- +% !TEX program = xelatex + +% Typeset original exam, hiding answers +\PassOptionsToClass{noanswer}{jnuexam} +\input{examfe-b-answer} diff --git a/Master/texmf-dist/doc/latex/jnuexam/jnuexam.pdf b/Master/texmf-dist/doc/latex/jnuexam/jnuexam.pdf Binary files differindex c5281ee42b2..0cc01cc3f1b 100644 --- a/Master/texmf-dist/doc/latex/jnuexam/jnuexam.pdf +++ b/Master/texmf-dist/doc/latex/jnuexam/jnuexam.pdf diff --git a/Master/texmf-dist/doc/latex/jnuexam/jnuexam.tex b/Master/texmf-dist/doc/latex/jnuexam/jnuexam.tex index 891c0663eeb..e19f1416b60 100644 --- a/Master/texmf-dist/doc/latex/jnuexam/jnuexam.tex +++ b/Master/texmf-dist/doc/latex/jnuexam/jnuexam.tex @@ -106,12 +106,13 @@ \frametitle{试卷结构} 下面是 \verb!jnuexam! 试卷文档的基本结构: \begin{code} -\documentclass{jnuexam} +\documentclass[chinese]{jnuexam} % 导言区 \begin{document} % 正文区 \end{document} \end{code} +试卷包含中文和英文两种模板,必须在文档开头指明。\par 导言区用于设定装订线和草稿纸等等选项。\par 正文区用于填写试卷表头和输入试卷内容。 \end{framex} @@ -120,7 +121,7 @@ \frametitle{装订草稿} 在文档的导言区可以设定装订线和草稿纸。比如: \begin{code} -\setexam{ +\SetExamOption{ binding = 2, % 装订线 scratch = 1, % 草稿纸 } @@ -137,17 +138,17 @@ \documentclass{jnuexam} \begin{document} ...... -\makehead %生成试卷表头 +\examtitle{...} %生成试卷表头,见下页 ...... -\makepart{填空题}{题数分值} +\exampart{填空题}[题数分值] ...... -\makepart{单选题}{题数分值} +\exampart{单选题}[题数分值] ...... -\makepart{计算题}{题数分值} +\exampart{计算题}[题数分值] ...... -\makepart{证明题}{题数分值} +\exampart{证明题}[题数分值] ...... -\makedata{可能用到的数据} %附录数据 +\examdata{可能用到的数据} %附录数据 ...... \end{document} \end{code} @@ -156,34 +157,48 @@ \begin{framex} \frametitle{试卷表头} \begin{code} -\renewcommand{\niandu}{2010--2011} -\renewcommand{\xueqi}{2} -\renewcommand{\kecheng}{大学数学} -\renewcommand{\zhuanye}{理工4学分} -\renewcommand{\jiaoshi}{某某某} -\renewcommand{\shijian}{2011年07月08日} -\renewcommand{\bixiu}{1} % 1为必修,0为选修 -\renewcommand{\bijuan}{1} % 1为闭卷,0为开卷 -\renewcommand{\shijuan}{A} % A/B/C卷 -\renewcommand{\neizhao}{1} % 1打勾,0不勾 -\renewcommand{\waizhao}{0} % 1打勾,0不勾 -\makehead %生成试卷表头 +\examtitle{ + niandu = 2017--2018, + xueqi = 2, + kecheng = 大学数学, + zhuanye = 理工四学分, % 可以为空白 + jiaoshi = {张三,李四}, % 教师姓名 + shijian = 2018年6月28日, + bixiu = 1, % 1 为必修,0 为选修 + bijuan = 1, % 1 为闭卷,0 为开卷 + shijuan = A, % A 或 B 或 C 卷 + neizhao = 1, % 1 打勾,0 不勾 + waizhao = 0, % 1 打勾,0 不勾 +} +\end{code} +其中 \verb!zhuanye! 和 \verb!shijian! 选项的内容可以为空。 +\end{framex} + +\begin{framex} +\frametitle{评分表格} +在 \verb!\examtitle! 后面,可以用 \verb!\gradetable! 命令生成空白的评分表格。比如: +\begin{code} +\gradetable[total=6,strut=2em] \end{code} -其中 \verb!\zhuanye! 和 \verb!\shijian! 命令的内容可以为空。 +其中 \verb!\gradetable! 命令的各个参数含义如下: +\begin{description} + \item[total] 表示试卷总共有多少部分,默认是 \verb!6!。 + \item[strut] 表示空白单元格的支架高度,默认是 \verb!2.5em!。 +\end{description} \end{framex} \begin{framex} \frametitle{判断题目} \begin{code} -\makepart{判断题}{题数分值} +\exampart{判断题}[题数分值] -\begin{problem} +\begin{question} 第一道判断题描述。\tickout{t} -\end{problem} +\end{question} -\begin{problem} +\begin{question} 第二道判断题描述。\tickout{f} -\end{problem} +\end{question} \end{code} 其中 \verb!\tickout{t}! 和 \verb!\tickout{f}! 分别表示打勾(\textcolor{blue}{$\checkmark$})和打叉(\textcolor{blue}{\large$\times$})。 @@ -196,15 +211,15 @@ \begin{framex} \frametitle{填空题目} \begin{code} -\makepart{填空题}{题数分值} +\exampart{填空题}[题数分值] -\begin{problem} +\begin{question} 第一道填空题描述\fillout{答案}。 -\end{problem} +\end{question} -\begin{problem} +\begin{question} 第二道填空题描述\fillout{答案}。 -\end{problem} +\end{question} \end{code} \verb!\fillout! 命令将用下划线填满整行。另有个 \verb!\fillin! 命令,只留下最小宽度的下划线。 \par @@ -214,15 +229,15 @@ \begin{framex} \frametitle{选择题目} \begin{code} -\makepart{单选题}{题数分值} +\exampart{单选题}[题数分值] -\begin{problem} +\begin{question} 第一道单选题描述\pickout{答案}。 -\end{problem} +\end{question} -\begin{problem} +\begin{question} 第二道单选题描述\pickout{答案}。 -\end{problem} +\end{question} \end{code} \verb!\pickout! 命令将把选择圆括号放在本行最右边。另外有个 \verb!\pickin! 命令,将选择圆括号放在当前位置。 \par @@ -248,31 +263,32 @@ \frametitle{答题表格} 在填空题和选择题前面,还可以用 \verb!\answertable! 命令生成空白答题栏。比如: \begin{code} -\answertable[3em]{6}{3} +\answertable[total=6,column=3,strut=3em] \end{code} -其中 \verb!\answertable! 命令的三个参数含义如下: -\begin{itemize} - \item 第一个可选参数表示空白单元格的高度,默认是 \verb!1em!。 - \item 第二个必选参数表示总共有多少个题目。 - \item 第三个必选参数表示每行排版几个题目。 -\end{itemize} +其中 \verb!\answertable! 命令的各个参数含义如下: +\begin{description} + \item[total] 表示总共有多少个题目。 + \item[column] 表示每行排版几个题目。 + \item[strut] 表示空白单元格的高度,默认是 \verb!1em!。 + \item[notice] 表示答题表格前面提示文本的内容。 +\end{description} \end{framex} \begin{framex} \frametitle{计算题目} \begin{code} -\makepart{计算题}{题数分值} +\exampart{计算题}[题数分值] -\begin{problem} +\begin{question} 第一道计算题描述。 -\end{problem} +\end{question} \begin{solution} 第一道计算题答案。 \end{solution} -\begin{problem} +\begin{question} 第二道计算题描述。 -\end{problem} +\end{question} \begin{solution} 第二道计算题答案。 \end{solution} @@ -282,18 +298,18 @@ \begin{framex} \frametitle{证明题目} \begin{code} -\makepart{证明题}{题数分值} +\exampart{证明题}[题数分值] -\begin{problem} +\begin{question} 第一道证明题描述。 -\end{problem} +\end{question} \begin{solution} 第一道证明题答案。 \end{solution} -\begin{problem} +\begin{question} 第二道证明题描述。 -\end{problem} +\end{question} \begin{solution} 第二道证明题答案。 \end{solution} @@ -302,10 +318,10 @@ \begin{framex} \frametitle{解答名称} -通过重新定义 \verb!\solutionname! 命令,可以改变 \verb!solution! 环境的名称。 -比如下面例子将“解答”二字改为“证明”: +通过重定义关键词的翻译,可以改变 \verb!solution! 环境的显示名称。 +比如下面例子将“解”改为“证”: \begin{code} -\renewcommand{\solutionname}{证明} +\SetExamTranslation{solution-Solution = 证} \end{code} \end{framex} @@ -360,15 +376,15 @@ $2+2=4$ \points{8} \frametitle{其它题型} 除了上述四种题型之外,其它题型可以用下面方式编写: \begin{code} -\makepart{某题型}{题数分值} +\exampart{某题型}[题数分值] -\begin{problem} +\begin{question} 第一题描述。\answer{第一题答案} -\end{problem} +\end{question} -\begin{problem} +\begin{question} 第二题描述。\answer{第二题答案} -\end{problem} +\end{question} \end{code} 其中题目答案必须放在 \verb!\answer! 命令里面;这样才能在生成空白试卷时隐藏它。 \end{framex} @@ -377,17 +393,17 @@ $2+2=4$ \points{8} \frametitle{附录数据} 在试卷最后,可以用下面命令增加附录数据部分: \begin{code} -\makedata{可能用到的数据} %附录数据 +\examdata{可能用到的数据} %附录数据 ...... \end{code} -附录数据必须放在 \verb!\makedata! 命令后面;否则在从A卷生成B卷时会出问题。 +附录数据必须放在 \verb!\examdata! 命令后面;否则在从A卷生成B卷时会出问题。 \end{framex} \section{模板选项} \begin{framex} \frametitle{空白试卷} -假设 \verb!exam-a-answer.tex! 是含答案的试卷。新建一个包含以下内容的 \verb!exam-a-empty.tex! 文档, +假设 \verb!exam-a-answer.tex! 是含答案的试卷。新建一个包含以下内容的 \verb!exam-a-blank.tex! 文档, 编译后将得到不含答案的空白试卷。 \begin{code} \PassOptionsToClass{noanswer}{jnuexam} @@ -431,26 +447,26 @@ $2+2=4$ \points{8} \begin{framex} \frametitle{双栏试卷} -假设 \verb!exam-a-empty.tex! 是原来试卷的 TeX 文件。新建一个包含以下内容的文档, +假设 \verb!exam-a-blank.tex! 是原来试卷的 TeX 文件。新建一个包含以下内容的文档, 编译后将得到的 A3 纸张的试卷。 \begin{code} \PassOptionsToClass{a3paper}{jnuexam} -\input{exam-a-empty} +\input{exam-a-blank} \end{code} 也就是说,给 \verb!jnuexam! 文档类加上 \verb!a3paper! 选项后,编译时将会按照 A3 纸张排版出双栏试卷。 \end{framex} \begin{framex} \frametitle{双栏试卷} -假设 \verb!exam-a-empty.pdf! 是原来试卷的 PDF 文件。新建一个包含以下内容的文档, +假设 \verb!exam-a-blank.pdf! 是原来试卷的 PDF 文件。新建一个包含以下内容的文档, 编译后将得到的 A3 纸张的试卷。 \begin{code} \documentclass[a3input]{jnuexam} \begin{document} -\includepdf[pages=-,nup=2x1]{exam-a-empty} +\includepdf[pages=-,nup=2x1]{exam-a-blank} \end{document} \end{code} -%\includepdf[pages=-,nup=2x1,offset=0 0,delta=0 0]{exam-a-empty} +%\includepdf[pages=-,nup=2x1,offset=0 0,delta=0 0]{exam-a-blank} 这种用法直接读入 A4 试卷的 PDF 文件,生成双栏的 A3 试卷,适合没有 TeX 文件时使用。 \end{framex} |