diff --git a/3e/DM/DM noel/all_DM_noel.pdf b/3e/DM/DM noel/all_DM_noel.pdf
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diff --git a/3e/DM/DM noel/corr_DM_noel.pdf b/3e/DM/DM noel/corr_DM_noel.pdf
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diff --git a/3e/DM/DM noel/exo_calculs.tex b/3e/DM/DM noel/exo_calculs.tex
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+++ b/3e/DM/DM noel/exo_calculs.tex	
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+    \begin{enumerate}
+        \item Compléter les pointillés pour qu'il y est bien égalité.
+            \hspace{-1cm}
+            \begin{center}
+                \Block{set a,b,c = random_str("{a},{b},{b*c}", conditions = ["{a} != {b}", "{a} > 1", "{b}>1","{c}>1"]).split(',')}%
+                $\dfrac{\Var{a}}{\Var{b}} = \dfrac{\ldots}{\Var{c}}$
+                \hfill
+                \Block{set a,b,c = random_str("{a},{b},{b*c}", conditions = ["{a} != {b}", "{a} > 1", "{b}>1","{c}>1"]).split(',')}%
+                $\dfrac{\Var{a}}{\Var{b}} = \dfrac{\ldots}{\Var{c}}$
+                \hfill
+                \Block{set a,b,c = random_str("{a},{b},{b*c}", conditions = ["{a} != {b}", "{a} > 1", "{b}>1","{c}>1"]).split(',')}%
+                $\dfrac{\cdots}{\Var{c}} = \dfrac{\Var{a}}{\Var{b}}$
+                \hfill
+                \Block{set a,b,c = random_str("{a},{b},{a*c}", conditions = ["{a} != {b}", "{a} > 1", "{b}>1","{c}>1"]).split(',')}%
+                $\dfrac{\Var{a}}{\Var{b}} = \dfrac{\Var{c}}{\cdots}$
+            \end{center}
+
+            \vfill
+        \item Faire les calculs suivants en détaillant les étapes (penser à simplifier les fractions quand c'est possible).
+            \begin{multicols}{2}
+                \begin{enumerate}
+                    \Block{set e = Expression.random("{a} / {b} + {c} / {b}", ["{b} > 1", "{a} > 0", "{c} > 0"])}
+                \item $A = \Var{e}$
+                    \begin{solution}
+                        \begin{eqnarray*}
+                            \Var{e.simplify().explain() | calculus(name = "A")}
+                        \end{eqnarray*}
+                    \end{solution}
+                    \Block{set e = Expression.random("{a} / {b} + {c} / {b}", ["{b} > 1"])}
+                \item $B = \Var{e}$
+                    \begin{solution}
+                        \begin{eqnarray*}
+                            \Var{e.simplify().explain() | calculus(name = "B")}
+                        \end{eqnarray*}
+                    \end{solution}
+                    \Block{set e = Expression.random("{a} / {b} + {c} / {d*b}", ["{b} > 1", "{c} > 1", "{d} > 1"])}
+                \item $C = \Var{e}$
+                    \begin{solution}
+                        \begin{eqnarray*}
+                            \Var{e.simplify().explain() | calculus(name = "C")}
+                        \end{eqnarray*}
+                    \end{solution}
+                    \Block{set e = Expression.random("{a} / {b} + {c} / {d*b}", ["{b} > 1", "{d} > 1"])}
+                \item $D = \Var{e}$
+                    \begin{solution}
+                        \begin{eqnarray*}
+                            \Var{e.simplify().explain() | calculus(name = "D")}
+                        \end{eqnarray*}
+                    \end{solution}
+                    \Block{set e = Expression.random("{a} / {b} * {c}", ["{b} > 1", "{a} > 0", "{c} > 1", "{c} != {b}"])}
+                \item $E = \Var{e}$
+                    \begin{solution}
+                        \begin{eqnarray*}
+                            \Var{e.simplify().explain() | calculus(name = "E")}
+                        \end{eqnarray*}
+                    \end{solution}
+                    \Block{set e = Expression.random("{a} / {b} * {c} / {d}", ["{b} > 1", "{a} > 0", "{c} > 0", "{d} > 1"])}
+                \item $F = \Var{e}$
+                    \begin{solution}
+                        \begin{eqnarray*}
+                            \Var{e.simplify().explain() | calculus(name = "F")}
+                        \end{eqnarray*}
+                    \end{solution}
+                \end{enumerate}
+            \end{multicols}
+        \item Évaluer les expressions suivantes
+            \begin{multicols}{2}
+                \begin{enumerate}
+
+                \Block{set P = Polynom.random(degree = 1)}
+                \Block{set x = Expression.random("{a}")}
+                \item $\Var{P}$ en $x = \Var{x}$
+                    \begin{solution}
+                        \begin{eqnarray*}
+                            \Var{P(x).explain()| calculus()}
+                        \end{eqnarray*}
+                    \end{solution}
+
+                \Block{set P = Polynom.random(degree = 2)}
+                \Block{set x = Expression.random("{a}")}
+                \item $\Var{P}$ en $x = \Var{x}$
+                    \begin{solution}
+                        \begin{eqnarray*}
+                            \Var{P(x).explain()| calculus()}
+                        \end{eqnarray*}
+                    \end{solution}
+
+                \Block{set P = Expression.random("{a} x * (x - {b})")}
+                \Block{set x = Expression.random("{a}")}
+                \item $\Var{P}$ en $x = \Var{x}$
+
+                \Block{set P = Expression.random("({a}x + {b})({c} + {d}x)")}
+                \Block{set x = Expression.random("{a}")}
+                \item $\Var{P}$ en $x = \Var{x}$
+
+                \end{enumerate}
+            \end{multicols}
+        \item Réduire les expressions suivantes
+        \begin{multicols}{2}
+            \begin{enumerate}
+                    \Block{set A = Expression.random("{a}x + {c} + {d}x", conditions = ["{a} not in [0,1]", "{d} not in [0,1]"])}
+                \item A = $\Var{A}$
+                    \begin{solution}
+                        \begin{eqnarray*}
+                            \Var{A.simplify().explain() | calculus()}
+                        \end{eqnarray*}
+                    \end{solution}
+
+                    \Block{set B = Expression.random("({b} - {a}) + {a}x + {c} + {d}x", conditions = ["{a} not in [0,1]", "{d} not in [0,1]"])}
+                \item B = $\Var{B}$
+                    \begin{solution}
+                        \begin{eqnarray*}
+                            \Var{B.simplify().explain() | calculus()}
+                        \end{eqnarray*}
+                    \end{solution}
+
+
+                    \Block{set C = Expression.random("{a}x^2 + {c} + {d}x + {d} + {a}x", conditions = ["{a} not in [0,1]", "{d} not in [0,1]"])}
+                \item C = $\Var{C}$
+                    \begin{solution}
+                        \begin{eqnarray*}
+                            \Var{C.simplify().explain() | calculus()}
+                        \end{eqnarray*}
+                    \end{solution}
+
+                    \Block{set D = Expression.random("{a}x^2 + {c}x^2 + {d}x + {d} + {a}x", conditions = ["{a} not in [0,1]", "{d} not in [0,1]"])}
+                \item D = $\Var{D}$
+                    \begin{solution}
+                        \begin{eqnarray*}
+                            \Var{D.simplify().explain() | calculus()}
+                        \end{eqnarray*}
+                    \end{solution}
+            \end{enumerate}
+        \end{multicols}
+
+\end{enumerate}
+
diff --git a/3e/DM/DM noel/exo_proba.tex b/3e/DM/DM noel/exo_proba.tex
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index 0000000..e216403
--- /dev/null
+++ b/3e/DM/DM noel/exo_proba.tex	
@@ -0,0 +1,23 @@
+    \Block{set a,b,c = random_str("{a*d},{b*d},{c}", conditions = ["{a} != {b}", "{a} > 1", "{b}>1", "{c} > 1", "{d}>1"]).split(',')}
+    \Block{set total = int(a) + int(b) + int(c)}
+    Dans un sac, il y a \Var{a} bonbons à la menthe, \Var{b} bonbons à la fraise et \Var{c} au chocolat. On choisit un bonbon au hasard dans ce sac.
+    \begin{enumerate}
+        \item Combien y a-t-il d'issues en tout?
+        \begin{solution}
+            Il y a \Var{total} bonbons.
+        \end{solution}
+        \item Calculer la probabilité de tirer un bonbon à la fraise.
+        \begin{solution}
+            $T($ tirer un bonbon à la fraise $) = \dfrac{\Var{a}}{\Var{total}}$
+        \end{solution}
+        \item Calculer la probabilité de tirer un bonbon qui n'est pas au chocolat.
+        \begin{solution}
+            \Block{set nonChoco = int(a) + int(b)}
+            $T($ tirer un bonbon à la fraise $) = \dfrac{\Var{nonChoco}}{\Var{total}}$
+        \end{solution}
+        \item Calculer la probabilité de tirer un bonbon au réglisse.
+        \begin{solution}
+            $T($ tirer un bonbon au réglisse $) = \dfrac{0}{\Var{total}} = 0$
+        \end{solution}
+        \item Dans un autre sac, on place 25 bonbons à la menthe et 34 bonbons à la fraise. Lise préfère les bonbons à la menthe. Dans quel sac doit-elle tirer un bonbon pour avoir le plus de chance d'avoir un bonbon qu'elle préfère?
+    \end{enumerate}
diff --git a/3e/DM/DM noel/exo_tech_thales.tex b/3e/DM/DM noel/exo_tech_thales.tex
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+++ b/3e/DM/DM noel/exo_tech_thales.tex	
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+\Block{set AO, OD, CD, OB = random_str("{a},{b},{c},{d}", ["{a} < {b}", "{c} != {d}"], 2, 20).split(',')}
+
+Dans la figure suivante, $(AB)$ et $(CD)$ sont parallèles, $AO = \Var{AO}$, $OD = \Var{OD}$, $CD = \Var{CD}$ et $OB = \Var{OB}$.
+
+\Block{set fig = random_str("{a}", [], 1, 2)}
+\begin{minipage}{0.5\textwidth}
+    \includegraphics[scale=0.4]{./fig/thales\Var{fig}} 
+\end{minipage}
+\begin{minipage}{0.5\textwidth}
+    Calculer les longueurs $AB$ et $BC$.
+\end{minipage}
+
diff --git a/3e/DM/DM noel/fig/thales1.pdf b/3e/DM/DM noel/fig/thales1.pdf
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diff --git a/3e/DM/DM noel/fig/thales2.pdf b/3e/DM/DM noel/fig/thales2.pdf
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diff --git a/3e/DM/DM noel/tpl_DM_noel.tex b/3e/DM/DM noel/tpl_DM_noel.tex
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+++ b/3e/DM/DM noel/tpl_DM_noel.tex	
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+\documentclass[a4paper,12pt]{article}
+\usepackage{myXsim}
+
+\usepackage{wrapfig}
+
+\title{DM de noël}
+\tribe{302}
+\date{Mardi de ma rentrée}
+
+\sujet{\Var{infos.num}}
+
+\xsimsetup{
+solution/print = false
+}
+
+\begin{document}
+
+\maketitle
+
+Vous devez rendre le sujet avec la copie.
+
+
+\begin{exercise}[subtitle={Techniques de calculs \Cal}]
+    \Block{include "./exo_calculs.tex"}
+\end{exercise}
+
+\begin{exercise}[subtitle={Thalès \Com \Rai}]
+   \Block{include "./exo_tech_thales.tex"}
+\end{exercise}
+
+\begin{exercise}[subtitle={Mes bonbons préférés \Rep \Com}]
+    \Block{include "./exo_proba.tex"}
+\end{exercise}
+
+
+
+\end{questions}
+
+\end{document}
+
+%%% Local Variables: 
+%%% mode: latex
+%%% TeX-master: "master"
+%%% End:
+