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  1. \documentclass[a4paper, 12pt]{article}
  2. \usepackage{fouriernc}
  3. \usepackage{amsmath,amsfonts,enumerate,tabularx,calrsfs,esvect, multicol}
  4. \usepackage{graphics}
  5. \usepackage[left=15mm,right=20mm,top=15mm,bottom=10mm]{geometry}
  6. \usepackage[thmmarks,standard,thref]{ntheorem}
  7. \usepackage{pgf,tikz}
  8. \usetikzlibrary{arrows}
  9. \pagestyle{empty}
  10.  
  11. \theoremseparator{.}
  12. \theorembodyfont{\upshape}
  13. %\theorembodyfont{\normalfont}
  14. \newtheorem{pro}{Problem}
  15. \renewcommand{\baselinestretch}{1.5}
  16. \begin{document}
  17.  
  18. \thispagestyle{empty}
  19. \begin{pro}
  20. Solve the following equations:
  21. \begin{enumerate}[\quad 1)]
  22. \item $\dfrac{\cos^2 2x}{\cos x + \cos\dfrac{\pi}{4}} = \cos x - \cos\dfrac{\pi}{4}$;
  23. \item $\dfrac{\cos^2 2x}{\cos x + \cos\dfrac{\pi}{4}} = \cos x - \cos\dfrac{\pi}{4}$;
  24.  
  25. \item $(\sqrt{3}\sin x + 2\cos x)\cdot (1 - \cos x) = \sin^2 x$.
  26. \end{enumerate}
  27. \end{pro}
  28.  
  29. \begin{pro}
  30. \begin{tabular}{p{5cm} p{8cm}}
  31. \begin{center}
  32. \begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
  33. \clip(0,0) rectangle (4,3.5);
  34. \draw (0,0)-- (4,0);
  35. \draw (4,0)-- (2,3.46);
  36. \draw (2,3.46)-- (0,0);
  37. \begin{scriptsize}
  38. \fill [color=black] (0,0) circle (1.5pt);
  39. \draw[color=black] (-0.03,-0.19) node {$B$};
  40. \fill [color=black] (4,0) circle (1.5pt);
  41. \draw[color=black] (4.1,-0.19) node {$C$};
  42. \fill [color=black] (2,3.46) circle (1.5pt);
  43. \draw[color=black] (1.99,3.72) node {$A$};
  44. \end{scriptsize}
  45. \end{tikzpicture}
  46. \end{center}
  47. &
  48.  
  49. 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
  50. \end{tabular}
  51. \end{pro}
  52.  
  53. \end{document}
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