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- \documentclass[a4paper, 12pt]{article}
- \usepackage{fouriernc}
- \usepackage{amsmath,amsfonts,enumerate,tabularx,calrsfs,esvect, multicol}
- \usepackage{graphics}
- \usepackage[left=15mm,right=20mm,top=15mm,bottom=10mm]{geometry}
- \usepackage[thmmarks,standard,thref]{ntheorem}
- \usepackage{pgf,tikz}
- \usetikzlibrary{arrows}
- \pagestyle{empty}
- \theoremseparator{.}
- \theorembodyfont{\upshape}
- %\theorembodyfont{\normalfont}
- \newtheorem{pro}{Problem}
- \renewcommand{\baselinestretch}{1.5}
- \begin{document}
- \thispagestyle{empty}
- \begin{pro}
- Solve the following equations:
- \begin{enumerate}[\quad 1)]
- \item $\dfrac{\cos^2 2x}{\cos x + \cos\dfrac{\pi}{4}} = \cos x - \cos\dfrac{\pi}{4}$;
- \item $\dfrac{\cos^2 2x}{\cos x + \cos\dfrac{\pi}{4}} = \cos x - \cos\dfrac{\pi}{4}$;
- \item $(\sqrt{3}\sin x + 2\cos x)\cdot (1 - \cos x) = \sin^2 x$.
- \end{enumerate}
- \end{pro}
- \begin{pro}
- \begin{tabular}{p{5cm} p{8cm}}
- \begin{center}
- \begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
- \clip(0,0) rectangle (4,3.5);
- \draw (0,0)-- (4,0);
- \draw (4,0)-- (2,3.46);
- \draw (2,3.46)-- (0,0);
- \begin{scriptsize}
- \fill [color=black] (0,0) circle (1.5pt);
- \draw[color=black] (-0.03,-0.19) node {$B$};
- \fill [color=black] (4,0) circle (1.5pt);
- \draw[color=black] (4.1,-0.19) node {$C$};
- \fill [color=black] (2,3.46) circle (1.5pt);
- \draw[color=black] (1.99,3.72) node {$A$};
- \end{scriptsize}
- \end{tikzpicture}
- \end{center}
- &
- Write the equation of the plane which passes the point and perpendicular to the line $\Delta$ ophs psjfg as[po fpoashf[a sifoijasf ao;wiuf asfj asf' rfjas'f gasoilduhfiash fopas;jf ashf;a sf;jas fjasof uj[aspf jasf
- \end{tabular}
- \end{pro}
- \end{document}
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