107 lines
4.9 KiB
TeX
107 lines
4.9 KiB
TeX
\begin{exercise}[subtitle={Réduire - technique}, step={1}, origin={D'anciennes choses}, topics={ Fraction Developpement Litteral }, tags={ Fractions, Developpement }, mode={\trainMode}]
|
|
Réduire les expressions suivantes
|
|
\Block{
|
|
set reduction = {
|
|
"A": random_expression("{a}x + {b} + {c}x + {d}", [], global_config={"rejected":[1, 0, -1]}),
|
|
"B": random_expression("{a}t + {b} + {c}t + {d}t", [], global_config={"rejected":[1, 0, -1]}),
|
|
"C": random_expression("{a}t + {b} + {c}t + {d}t", [], global_config={"rejected":[1, 0, -1]}),
|
|
"D": random_expression("{a}x + {b} + {c}x + {d}", ["a+c==0"], global_config={"rejected":[1, 0, -1]}),
|
|
"E": random_expression("{a}t + {b} + {c}t + {d} + {e}t", ["b+d==0"], global_config={"rejected":[1, 0, -1]}),
|
|
"F": random_expression("{a}/{k} + {b}a + {c}a + {d}", [], global_config={"rejected":[1, 0, -1]}),
|
|
"G": random_expression("{a}x^2 + {b} + {c}x^2 + {d} + {e}x^2", [], global_config={"rejected":[1, 0, -1]}),
|
|
"H": random_expression("{a}x + {b} + {c}x^2 + {d} + {e}x^2", [], global_config={"rejected":[1, 0, -1]}),
|
|
"I": random_expression("{a}x + {b} + {c}x^2 + {d}x + {e}x^2", ["a+d==0"], global_config={"rejected":[1, 0, -1]}),
|
|
}
|
|
}
|
|
\begin{multicols}{2}
|
|
\begin{enumerate}
|
|
%- for (l, e) in reduction.items()
|
|
\item $\Var{l} = \Var{e}$
|
|
%- endfor
|
|
\end{enumerate}
|
|
\end{multicols}
|
|
\end{exercise}
|
|
|
|
\begin{solution}
|
|
\begin{multicols}{3}
|
|
\begin{enumerate}
|
|
%- for (l, e) in reduction.items()
|
|
\item
|
|
\begin{align*}
|
|
\Var{l} & = \Var{e.simplify().explain() | join(' \\\\ & = ')}
|
|
\end{align*}
|
|
%- endfor
|
|
\end{enumerate}
|
|
\end{multicols}
|
|
\end{solution}
|
|
|
|
\begin{exercise}[subtitle={Développer 1 - technique}, step={2}, origin={D'anciennes choses}, topics={ Fraction Developpement Litteral }, tags={ Fractions, Developpement }, mode={\trainMode}]
|
|
Réduire les expressions suivantes
|
|
\Block{
|
|
set reduction = {
|
|
"A": random_expression("{a}({c}x + {d})", global_config={"rejected":[1, 0, -1]}),
|
|
"B": random_expression("{a}({b} + {c}t)", global_config={"rejected":[1, 0, -1]}),
|
|
"C": random_expression("t({b} + {c}t)", global_config={"rejected":[1, 0, -1]}),
|
|
"D": random_expression("{a}x({b}x + {c})", global_config={"rejected":[1, 0, -1]}),
|
|
"E": random_expression("{a}x({b}x + {c})", global_config={"rejected":[1, 0, -1]}),
|
|
"F": random_expression("{a}/{d}x({b}x + {c})", global_config={"min_max":(1, 10)}),
|
|
}
|
|
}
|
|
\begin{multicols}{2}
|
|
\begin{enumerate}
|
|
%- for (l, e) in reduction.items()
|
|
\item $\Var{l} = \Var{e}$
|
|
%- endfor
|
|
\end{enumerate}
|
|
\end{multicols}
|
|
\end{exercise}
|
|
|
|
\begin{solution}
|
|
\begin{multicols}{3}
|
|
\begin{enumerate}
|
|
%- for (l, e) in reduction.items()
|
|
\item
|
|
\begin{align*}
|
|
\Var{l} & = \Var{e.simplify().explain() | join(' \\\\ & = ')}
|
|
\end{align*}
|
|
%- endfor
|
|
\end{enumerate}
|
|
\end{multicols}
|
|
\end{solution}
|
|
|
|
\begin{exercise}[subtitle={Développer 2 - technique}, step={2}, origin={D'anciennes choses}, topics={ Fraction Developpement Litteral }, tags={ Fractions, Developpement }, mode={\trainMode}]
|
|
Réduire les expressions suivantes
|
|
\Block{
|
|
set reduction = {
|
|
"A": random_expression("({a}x + {b})({c}x + {d})", global_config={"rejected":[1, 0, -1]}),
|
|
"B": random_expression("({a}t + {b})({c}t + {d})", global_config={"rejected":[1, 0, -1]}),
|
|
"C": random_expression("({a}x + {b})({c}x + {d})", global_config={"rejected":[1, 0, -1]}),
|
|
"D": random_expression("({a}x + {b})({c}x + {d})", global_config={"rejected":[1, 0, -1]}),
|
|
"E": random_expression("({a}x + {b})^2", global_config={"rejected":[1, 0, -1]}),
|
|
"F": random_expression("({a}x + {b})^2", global_config={"rejected":[1, 0, -1]}),
|
|
"G": random_expression("({a}x + {b})^2", global_config={"rejected":[1, 0, -1]}),
|
|
"H": random_expression("({a}/{c}x + {b})^2", global_config={"rejected":[1, 0, -1]}),
|
|
}
|
|
}
|
|
\begin{multicols}{2}
|
|
\begin{enumerate}
|
|
%- for (l, e) in reduction.items()
|
|
\item $\Var{l} = \Var{e}$
|
|
%- endfor
|
|
\end{enumerate}
|
|
\end{multicols}
|
|
\end{exercise}
|
|
|
|
\begin{solution}
|
|
\begin{multicols}{2}
|
|
\begin{enumerate}
|
|
%- for (l, e) in reduction.items()
|
|
\item
|
|
\begin{align*}
|
|
\Var{l} & = \Var{e.simplify().explain() | join(' \\\\ & = ')}
|
|
\end{align*}
|
|
%- endfor
|
|
\end{enumerate}
|
|
\end{multicols}
|
|
\end{solution}
|