\documentclass[a4paper, 12pt]{exam}

\usepackage[left=2.50cm, right=2.50cm, top=1cm, bottom=1.50cm]{geometry}

\usepackage[utf8]{inputenc}
\usepackage{fontspec}
\usepackage{amsmath, amsfonts, amssymb, amsthm}
\usepackage{graphicx}
\usepackage{xcolor}
\usepackage{multicol}
\usepackage{enumitem}
\usepackage{mathrsfs}
\usepackage{colortbl}
\usepackage{varwidth}
\usepackage[most]{tcolorbox}


\tcbuselibrary{skins,breakable}
\usepackage{tikz,tkz-euclide}
\usetikzlibrary{calc}
\usetikzlibrary{shadows}
\usepackage{tabularx, array, booktabs}
\usepackage{setspace}
\usepackage{hyperref}
\hypersetup{
    colorlinks=true,
    urlcolor=magenta
}



% French language support
\usepackage[french]{babel}



% Two-page layout (conditionally included)
% --- Two pages on 1 layout (pgfpages) ---
\usepackage{pgfpages}
\pgfpagesuselayout{2 on 1}[a4paper, landscape]
\geometry{left=2.50cm, right=2.50cm, top=1cm, bottom=1.50cm}


% --- Colors ---
\definecolor{maroon}{cmyk}{0,0.87,0.68,0.32}
\definecolor{pBlue}{RGB}{102, 53, 153}

\definecolor{myblue}{HTML}{1D2A6E}
\definecolor{myred}{HTML}{A97E77}
\definecolor{mybrown}{HTML}{B35823}
\definecolor{gold}{HTML}{B48920}
\definecolor{myorange}{HTML}{ED8C2B}
\definecolor{col}{RGB}{45, 136, 119}
\definecolor{MainRed}{rgb}{.8, .1, .1}
\definecolor{winered}{rgb}{0.5,0,0}
\definecolor{JungleGreen}{HTML}{29AB87}

\definecolor{myblue3}{RGB}{36, 57, 126}
\definecolor{mygray}{RGB}{112,121,139}
\definecolor{LemonGlacier}{RGB}{253,255,0}
\colorlet{myblue3}{red!75!black}

\definecolor{lightgray}{gray}{0.6}
\definecolor{arrowblue}{RGB}{0,140,180}
\definecolor{bannerblue}{RGB}{210,240,240}

% --- Basic Settings ---
% Language variables for French exams
\def\professor{R. MOSAID}  % Should be R. MOSAID not {{R. MOSAID}}
\def\classname{TCSF}
\def\examtitle{Devoir 03 - S02 (TCSF)}
\def\schoolname{Taghzirt}
\def\academicyear{2025/2026}
\def\subject{Mathématiques}
\def\duration{2h}
\def\secondtitle{\small{visit ~~\wsite~~ for more!}}
\def\province{Direction provinciale\newline de Beni Mellal}
\def\logo{\includegraphics[width=\linewidth]{images/logo-men.png}}
\def\wsite{\href{https://www.mosaid.xyz}{\textcolor{magenta}{\texttt{www.mosaid.xyz}}}}
\def\ddate{\hfill \number\day/\number\month/\number\year~~}


% Exam-specific settings and custom definitions
% This file is generated in the current working directory
% Edit this file to customize your exam settings



% Define column type for centered cells
\newcolumntype{Y}{>{\centering\arraybackslash}X}
\newcolumntype{M}[1]{@{}>{\centering\arraybackslash}m{#1}@{}}

\newcommand{\tb}{\tikz[baseline=-0.6ex]{\fill (0,0) circle (2pt);}~}

\newcommand{\ccc}[1]{
    \begin{tikzpicture}[overlay, remember picture]
        \node[circle, inner sep=3pt, draw=black, outer sep=0pt] at (0.5,0.2) {#1};
    \end{tikzpicture}
}


\newcommand{\circled}[1]{%
  \tikz[baseline=(char.base)]{
    \node[shape=circle,draw,inner sep=1pt, font=\bf] (char) {#1};}%
}


% --- Margin offsets for note placement ---
\def\rnotemargin{-1.5}   % distance from right edge of text block
\def\lnotemargin{0.5}   % distance from left edge of text block


% --- Note number placed 1cm from page edge (right margin) ---
\newcommand{\rnote}[1]{%
  \tikz[remember picture,overlay,baseline=(text.base)]{%
    % a tiny anchor at the current line baseline
    \node (text) at (0,0) {};%
    % coordinate 1cm left of the physical page right edge
    \coordinate (marg) at ($(current page.east)+(\rnotemargin,0)$);%
    % place the marker using x from 'marg' and y from 'text.base'
    \node[anchor=base west,
      font=\small\bfseries,
      fill=yellow!30,
      draw=black,
      circle,
      minimum width=18pt,
      minimum height=18pt,
      text width=18pt,   % force fixed width
      align=center,      % center text inside
      inner sep=0pt      % prevent expansion
    ] at (marg |- text.base) {$#1$};%
  }%
}

% --- Note number placed 1cm from page edge (left margin) ---
\newcommand{\note}[1]{%
  \tikz[remember picture,overlay,baseline=(text.base)]{%
    % a tiny anchor at the current line baseline
    \node (text) at (0,0) {};%
    % coordinate 1cm left of the physical page right edge
    \coordinate (marg) at ($(current page.west)+(\lnotemargin,0)$);%
    % place the marker using x from 'marg' and y from 'text.base'
    \node[anchor=base west,
      font=\small\bfseries,
      fill=yellow!30,
      draw=black,
      circle,
      minimum width=18pt,
      minimum height=18pt,
      text width=18pt,   % force fixed width
      align=center,      % center text inside
      inner sep=0pt      % prevent expansion
    ] at (marg |- text.base) {$#1$};%
  }%
}




% Document spacing
\setstretch{1.5}

% Math display style
\everymath{\displaystyle}

\mathversion{bold}

\AtBeginDocument{\fontsize{15}{17}\selectfont}

\newcommand{\fff}[1]{\makebox[#1cm]{\dotfill}}

\newcommand{\dfp}[1]{\dotfill (\bf{#1 pt})}

\SetEnumitemKey{tight}{
    leftmargin=*,
    itemsep=0pt,
    topsep=0pt,
    parsep=0pt,
    partopsep=0pt,
    before=\vspace{-2pt},   % reduce space before
    after=\vspace{-2pt}     % reduce space after
}

\newcommand{\VMargin}[1]{%
  \begin{tikzpicture}[remember picture,overlay]
    \draw[line width=1pt]
      ([xshift=#1]current page.north west) --
      ([xshift=#1]current page.south west);
  \end{tikzpicture}%
}

\newcommand{\VMarginRight}[1]{%
  \begin{tikzpicture}[remember picture,overlay]
    \draw[line width=0.6pt]
      ([xshift=-#1]current page.north east) --
      ([xshift=-#1]current page.south east);
  \end{tikzpicture}%
}



% Custom theorem environments (uncomment if needed)
% \newtheorem{theorem}{Theorem}
% \newtheorem{lemma}{Lemma}
% \newtheorem{corollary}{Corollary}

% Custom exercise environments (uncomment if needed)
% \newenvironment{solution}{\begin{proof}[Solution]}{\end{proof}}
% \newenvironment{remark}{\begin{proof}[Remark]}{\end{proof}}

% Custom commands for this exam (add your own below)
% \newcommand{\answerline}[1]{\underline{\hspace{#1}}}
% \newcommand{\points}[1]{\hfill(\mbox{#1 points})}

% Additional packages (uncomment if needed)
% \usepackage{siunitx} % For SI units
% \usepackage{chemformula} % For chemical formulas
% \usepackage{circuitikz} % For circuit diagrams

% Page layout adjustments
% \setlength{\parindent}{0pt}
% \setlength{\parskip}{1em}

% Custom colors for this exam
% \definecolor{myblue}{RGB}{0,100,200}
% \definecolor{mygreen}{RGB}{0,150,0}

% ----------------------------------------------------------------------
% ADD YOUR CUSTOM DEFINITIONS BELOW THIS LINE
% ----------------------------------------------------------------------

% Example:
\newcommand{\dif}{\mathrm{d}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\N}{\mathbb{N}}
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\Q}{\mathbb{Q}}
\newcommand{\C}{\mathbb{C}}

% Exam settings

\usepackage{mdframed}

\pointsinmargin
\pointname{}
\pointformat{\textcolor{red}{\circled{\thepoints}}}

%================================================
% COULEUR DES LIGNES
%================================================
\colorfillwithdottedlines
\definecolor{FillWithDottedLinesColor}{gray}{0.2}

%================================================
% STYLE DES SOLUTIONS
%================================================
\mdfdefinestyle{solutionstyle}{
    leftline=false,
    rightline=false,
    topline=false,
    bottomline=false,
    linecolor=red!70!black,
    linewidth=1pt,
    innerleftmargin=1pt,
    innerrightmargin=2pt,
    innertopmargin=6pt,
    innerbottommargin=6pt,
    skipabove=10pt,
    skipbelow=10pt,
}

%================================================
% SUPPRIMER "Solution"
%================================================
\renewcommand{\solutiontitle}{}

%================================================
% ENVIRONNEMENT SOLUTION PERSONNALISÉ
%================================================
\RenewDocumentEnvironment{solution}{O{4cm} +b}
{
    \begin{mdframed}[style=solutionstyle]

    \ifprintanswers
        \color{red!70!black}
        #2
    \else
        \fillwithdottedlines{#1}
    \fi

    \end{mdframed}
}
{}




% Exercise Theme 1: TikZ shadow title
\newcommand{\exothemeone}[1]{%
\par\vspace{0pt}\noindent\leavevmode
\begin{tikzpicture}[baseline=(text.base)]
    \node[] (text) at (0,0) {\textbf{#1}};
    \fill[black] ([xshift=0.1cm, yshift=-0.1cm]text.south west)
                 rectangle ([xshift=0.1cm, yshift=-0.1cm]text.north east);
    \draw[fill=white] (text.south west) rectangle (text.north east);
    \node[] at (text) {\textbf{#1}};
\end{tikzpicture}\\[0.2cm]
}

\newcommand{\printexo}[3]{%
  \if\relax\detokenize{#2}\relax
    \def\fulltitle{Exercice #1}%
  \else
    \def\fulltitle{Exercice #1~#2}%
  \fi
  \exothemeone{\fulltitle}%
  \noindent #3%
  \vspace{0.2cm}%
}

% --- Exam Header Style 9 (fr) (compressed)  ---
% Using compressed version for better column fit
\newcommand{\printheadnine}{%
  \arrayrulecolor{lightgray}
  \begin{tabularx}{\columnwidth}{XcX}
    \hline
    \textbf{\classname} & \textbf{\examtitle} & \ddate \\
    \wsite & \secondtitle & \hfill\professor \\
    \hline
  \end{tabularx}
  \arrayrulecolor{black}
}

\begin{document}


\noindent\printheadnine

% Section for Exercise 1
\noindent
\hbox to \textwidth{
  \hfil
  \fcolorbox{red}{yellow!25}{%
    \begin{minipage}{0.9\textwidth}
      \textcolor{white}{.}\\[0.25cm]
      \bf{Nom} \fff{10}\\[0.3cm]
      \bf{Classe} \fff{6} \bf{N$^\circ$~}\fff{2}\\
    \end{minipage}%
  }%
  \hfil
}%
\vspace{0.8em}
\VMargin{21cm}
\VMargin{20.9cm}

% Exercise 1 (originally 1)
\printexo{1}{}{
Soit la fonction définie par ~$f(x)=x^2-6x+4$~
\begin{questions}
  \question[1] Déterminer ~$D_f$~ le domaine de définition\\
  \fff{14}\\
  \fff{14}
  \question[2] vérifier que ~$f(x)=(x-3)^2-5$~\\
  \fff{14}\\
  \fff{14}\\
  \fff{14}\\
  \fff{14}\\
  \question[2] Montrer que ~$\frac{f(x)-f(y)}{x-y}=x+y-6$~\\[0.75cm]
  \fff{14}\\
  \fff{14}\\
  \fff{14}\\
  \fff{14}\\
  \fff{14}
  \newpage
  \thispagestyle{empty}
  \question[2] Etudier les variations de la fonction ~$f$~ sur ~$]-\infty ; 3]$~ puis sur
  ~$[3; +\infty[$~\\
  \fff{14}\\
  \fff{14}\\
  \fff{14}\\
  \fff{14}\\
  \fff{14}\\
  \fff{14}\\
  \fff{14}\\
  \fff{14}\\
  \fff{14}\\
  \fff{14}\\
  \fff{14}\\
  \fff{14}\\
  \fff{14}\\
  \fff{14}\\
  \question[2] Déterminer la nature de ~$\mathcal{C}_f$~\\
  \fff{14}\\
  \fff{14}\\
  \question[4] Calculer ~$f(0)$~;~$f(3)$~;~$f(2)$~;~$f(-2)$~;\\
  \fff{14}\\
  \fff{14}\\
  \fff{14}\\
  \fff{14}\\
  \question[2] Construire ~$\mathcal{C}_f$~ (au verso la page)
  \question[2] Déterminer graphiquement le signe de ~$f(x)$~
  \question[2] Construire dans le meme repère la courbe de la fonction
  ~$h:x\mapsto |f(x)|$~
\end{questions}
}







\end{document}