112 lines
3.8 KiB
TeX
112 lines
3.8 KiB
TeX
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% theme: Calcul litteral
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\begin{parts}
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\part Développer les expressions suivantes
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\begin{multicols}{3}
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\begin{subparts}
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\Block{set e = Expression.random("_*(_*x + _)")}
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\subpart $A = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "A")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("(_*x+_)(_*x + _)", val_min = 2)}
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\subpart $B = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "B")}
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\end{eqnarray*}
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\end{solution}
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\columnbreak
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\Block{set e = Expression.random("(_*x + _)^2", val_min = 2)}
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\subpart $C = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "C")}
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\end{eqnarray*}
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\end{solution}
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\end{subparts}
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\end{multicols}
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\part Factoriser les expressions suivantes
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\begin{multicols}{3}
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\begin{subparts}
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\Block{set e = Expression.random("{a}x*(_*x + _)", conditions = ['{a} >= 2'])}
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\subpart $A = \Var{e.simplify()}$
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\begin{solution}
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\begin{eqnarray*}
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A = \Var{e.simplify()} = \Var{e}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("_x*(_*x + _)")}
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\subpart $B = \Var{e.simplify()}$
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\begin{solution}
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\begin{eqnarray*}
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B = \Var{e.simplify()} = \Var{e}
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\end{eqnarray*}
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\end{solution}
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\columnbreak
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\Block{set e = Expression.random("_x*(_*x + _)")}
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\subpart $C = \Var{e.simplify()}$
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\begin{solution}
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\begin{eqnarray*}
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C = \Var{e.simplify()} = \Var{e}
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\end{eqnarray*}
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\end{solution}
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\end{subparts}
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\end{multicols}
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\part Résoudre les équations suivantes.
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\begin{multicols}{3}
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\begin{subparts}
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\Block{set e = Equation.random("{a}x + _ = 0",
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conditions = ["{a}!= 1"],
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val_min = 2,
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val_max = 150
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)}
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\subpart $\Var{e}$
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\begin{solution}
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\begin{align*}
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\Block{for i in e.solve()} \Var{i[0]} &= \Var{i[1]} \\ \Block{endfor}
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\end{align*}
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\end{solution}
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\Block{set e = Equation.random("_x + _ = _",
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conditions = ["{a}!= 1"],
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val_min = -10,
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val_max = 15
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)}
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\subpart $\Var{e}$
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\begin{solution}
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\begin{align*}
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\Block{for i in e.solve()} \Var{i[0]} &= \Var{i[1]} \\ \Block{endfor}
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\end{align*}
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\end{solution}
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\Block{set e = Equation.random("{a}x + _ = {b}x + _",
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conditions=["{a} != {b}"],
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val_min = -10,
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val_max = 20
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)}
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\subpart $\Var{e}$
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\begin{solution}
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\begin{align*}
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\Block{for i in e.solve()} \Var{i[0]} &= \Var{i[1]} \\ \Block{endfor}
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\end{align*}
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\end{solution}
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\end{subparts}
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\end{multicols}
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\end{parts}
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