59 lines
1.3 KiB
TeX
59 lines
1.3 KiB
TeX
\documentclass[a4paper,10pt]{article}
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\usepackage[utf8x]{inputenc}
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\usepackage[francais]{babel}
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\usepackage{amssymb}
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\usepackage{amsmath}
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\usepackage{amsfonts}
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% Title Page
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\title{Jouons avec DS\_géné et pyMath}
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% \quatreC \quatreD \troisB \troisPro
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\date{}
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\begin{document}
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\maketitle
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\section{Exercice de simplification de fraction}
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\Block{do RdExpression.set_form("exp")}
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\Block{set A = RdExpression("{a}/2+2")()}
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\Block{set B = RdExpression("{a}/2+2")()}
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Développer et réduire les expressions suivantes:
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\begin{equation*}
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A = \Var{ A } \qquad
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B = \Var{ B }
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\end{equation*}
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Solutions:
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\Var{A.simplify() | calculus}
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\Var{B.simplify() | calculus(name = "B")}
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\section{Mettre sous forme canonique}
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\Block{set P = RdExpression("{a}x^2 + {b}x + {c}")()}
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Mettre $\Var{P}$ sous la forme canonique.
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Solution:
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On simplifie le polynôme:
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\begin{eqnarray*}
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\Var{P.simplify() | calculus(name = "P(x) = ")}
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\end{eqnarray*}
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Calcul des coordonnées du sommet de la courbe:
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\begin{eqnarray*}
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\alpha & = & \frac{-b}{2a} = \\
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\beta & = & -\frac{b^2 - 4ac}{4a} =
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\end{eqnarray*}
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\end{document}
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: "master"
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%%% End:
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