%@Dif:3 \definecolor{LightGray}{gray}{0.9} \definecolor{LightGreen}{rgb}{0.5,1,0.5} \definecolor{LightRed}{rgb}{1,0.5,0.5} \definecolor{LightBlue}{rgb}{0.5,0.5,1} \definecolor{LightOrange}{rgb}{1,0.7,0} Pour chacun des calculs ci-dessous, construis un schéma de calculs lui correspondant. Ensuite à l'aide de ce schéma, effectue les calculs. \[A=\frac12+\frac34\times\frac45\kern1cm B=\left(\frac12+\frac34\right)\times\frac45\kern1cm C=\frac12\times\frac34+\frac45\kern1cm D=\frac12\times\left(\frac34+\frac45\right)\] \psset{levelsep=1.5cm,treesep=5mm,arrows=<-,arrowsize=0.2} \pstree[treemode=U]{\Tr{$A=$}}{ \pstree{\Tr{\pscirclebox[fillstyle=solid,fillcolor=LightOrange]{\phantom{$\times$}}}}{ \Tr{\psshadowbox[fillstyle=solid,fillcolor=LightGreen]{\begin{tabular}{c}\phantom{bo}\end{tabular}}} \pstree{\Tr{\psshadowbox[fillstyle=solid,fillcolor=LightBlue]{\begin{tabular}{c}\phantom{bo}\end{tabular}}}}{ \pstree{\Tr{\pscirclebox[fillstyle=solid,fillcolor=LightOrange]{\phantom{$\times$}}}}{ \Tr{\psshadowbox[fillstyle=solid,fillcolor=LightGreen]{\begin{tabular}{c}\phantom{bo}\end{tabular}}}\Tr{\psshadowbox[fillstyle=solid,fillcolor=LightGreen]{\begin{tabular}{c}\phantom{bo}\end{tabular}}} } } } } \hfill \pstree[treemode=U]{\Tr{$B=$}}{ \pstree{\Tr{\pscirclebox[fillstyle=solid,fillcolor=LightOrange]{\phantom{$\times$}}}}{ \pstree{\Tr{\psshadowbox[fillstyle=solid,fillcolor=LightBlue]{\begin{tabular}{c}\phantom{bo}\end{tabular}}}}{ \pstree{\Tr{\pscirclebox[fillstyle=solid,fillcolor=LightOrange]{\phantom{$\times$}}}}{ \Tr{\psshadowbox[fillstyle=solid,fillcolor=LightGreen]{\begin{tabular}{c}\phantom{bo}\end{tabular}}}\Tr{\psshadowbox[fillstyle=solid,fillcolor=LightGreen]{\begin{tabular}{c}\phantom{bo}\end{tabular}}} } } \Tr{\psshadowbox[fillstyle=solid,fillcolor=LightGreen]{\begin{tabular}{c}\phantom{bo}\end{tabular}}} } } \hfill \pstree[treemode=U]{\Tr{$C=$}}{ \pstree{\Tr{\pscirclebox[fillstyle=solid,fillcolor=LightOrange]{\phantom{$\times$}}}}{ \pstree{\Tr{\psshadowbox[fillstyle=solid,fillcolor=LightBlue]{\begin{tabular}{c}\phantom{bo}\end{tabular}}}}{ \pstree{\Tr{\pscirclebox[fillstyle=solid,fillcolor=LightOrange]{\phantom{$\times$}}}}{ \Tr{\psshadowbox[fillstyle=solid,fillcolor=LightGreen]{\begin{tabular}{c}\phantom{bo}\end{tabular}}}\Tr{\psshadowbox[fillstyle=solid,fillcolor=LightGreen]{\begin{tabular}{c}\phantom{bo}\end{tabular}}} } } \Tr{\psshadowbox[fillstyle=solid,fillcolor=LightGreen]{\begin{tabular}{c}\phantom{bo}\end{tabular}}} } } \hfill \pstree[treemode=U]{\Tr{$D=$}}{ \pstree{\Tr{\pscirclebox[fillstyle=solid,fillcolor=LightOrange]{\phantom{$\times$}}}}{ \Tr{\psshadowbox[fillstyle=solid,fillcolor=LightGreen]{\begin{tabular}{c}\phantom{bo}\end{tabular}}} \pstree{\Tr{\psshadowbox[fillstyle=solid,fillcolor=LightBlue]{\begin{tabular}{c}\phantom{bo}\end{tabular}}}}{ \pstree{\Tr{\pscirclebox[fillstyle=solid,fillcolor=LightOrange]{\phantom{$\times$}}}}{ \Tr{\psshadowbox[fillstyle=solid,fillcolor=LightGreen]{\begin{tabular}{c}\phantom{bo}\end{tabular}}}\Tr{\psshadowbox[fillstyle=solid,fillcolor=LightGreen]{\begin{tabular}{c}\phantom{bo}\end{tabular}}} } } } }