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<Startup-Code startupcode="plots:-setoptions( 'labels' = [''x'', ''y''],\012        'font' = [&quot;Times New Roman&quot;, 12],\012        'thickness' = 2 ):\012\012\012M4_4_3 := module()\012    export ButtonClick, Drag, Click, EndDrag, PtFix;\012    local pts, ShowOriginal, ShowAbs, DoPlot, Abs, drag_ended;\012\012    uses DT = DocumentTools;\012\012    drag_ended := true;\012    pts := [];\012    Abs := true;\012\012\012    Click := proc()\012        pts := [];\012        Abs := true;\012        DT:-Do( %Button0( &quot;enabled&quot; ) = false );\012        DT:-Do( %Button0( &quot;caption&quot; ) = &quot;Montrer la valeur absolue&quot; );\012        DoPlot( pts );\012    end proc; #Click\012\012\012    Drag := proc()\012        local x, y;\012\012        if drag_ended then\012            drag_ended := false;\012            pts := [];\012        end if;\012\012        Abs := true;\012        DT:-Do( %Button0( &quot;enabled&quot; ) = false );\012        DT:-Do( %Button0( &quot;caption&quot; ) = &quot;Montrer la valeur absolue&quot; );\012\012        DT:-Do( x = %Plot0( &quot;endx&quot; ) );\012        DT:-Do( y = %Plot0( &quot;endy&quot; ) );\012\012        if ((abs(x) &lt; 10) and (abs(y) &lt; 10)) then\012            if nops( pts ) &lt;= 1 or (x - pts[-1, 1]) * (pts[-1, 1] - pts[-2, 1]) &gt; 0 then\012                pts := [op( pts ), [x, y]];\012                pts := PtFix( pts );\012                DoPlot( pts );\012            end if;\012        end if;\012\012        return NULL;\012    end proc; #Drag\012\012\012    EndDrag := proc()\012        drag_ended := true;\012        DT:-Do( %Button0( &quot;enabled&quot; ) = true );\012        return NULL;\012    end proc; #EndDrag\012\012\012    ButtonClick := proc()\012        if Abs then\012            ShowAbs();\012        else\012            ShowOriginal();\012        end if;\012    end proc; #ButtonClick\012\012\012    ShowOriginal := proc()\012        DoPlot( pts );\012        Abs := true;\012        DT:-Do( %Button0( &quot;caption&quot; ) = &quot;Montrer la valeur absolue&quot; );\012    end proc; #ShowOriginal\012\012\012    ShowAbs := proc()\012        DT:-Do( %Plot0 = plots:-display( [\012                plots:-pointplot(\012                    pts,\012                    'style' = 'line',\012                    'colour' = plots:-setcolors()[11],\012                    'linestyle' = 'dash' ),\012                plots:-pointplot(\012                    map( x -&gt; ( [x[1], abs( x[2] )] ), pts ),\012                    'style' = 'line',\012                    'colour' = plots:-setcolors()[14] )\012                ],\012                'view' = [-10..10, -10..10],\012                'title' = &quot;Graph Valeur Absolue&quot; )\012                );\012\012        Abs := false;\012        DT:-Do( %Button0( &quot;caption&quot; ) = &quot;Montrer l'original&quot; );\012        return NULL;\012    end proc; #ShowAbs\012\012\012    DoPlot := proc( pts )\012        DT:-Do( %Plot0 = plots:-display( [\012                plots:-pointplot(\012                    pts,\012                    'style' = 'line',\012                    'color' = plots:-setcolors()[14])\012                ],\012                'view' = [-10..10, -10..10],\012                'title' = &quot;Graph Original&quot;)\012                );\012        return NULL;\012    end proc; #DoPlot\012\012\012    PtFix := proc( pets )\012        local pts, i;\012        pts := pets;\012        i := 1;\012\012        while i &lt;= nops( pts )-1 do\012            if pts[i, 2] &gt; 0 and pts[i+1, 2] &lt; 0 or pts[i, 2] &lt; 0 and pts[i+1, 2] &gt; 0 then\012                pts := [op( 1..i, pts ), [(pts[i, 2]*pts[i+1, 1] - pts[i+1, 2]*pts[i, 1])/\012                        (pts[i, 2] - pts[i+1, 2]), 0], op( i+1..-1, pts )];\012            end if;\012\012            i := i+1;\012        end do;\012\012        return pts;\012    end proc; #PtFix\012\012end module; #M4_4_3\012\012# Initialize components\012proc()\012    uses DT = DocumentTools;\012\012    DT:-Do( %Button0( &quot;enabled&quot; ) = false );\012    DT:-Do( %Button0( &quot;caption&quot; ) = &quot;Montrer la valeur absolue&quot; );\012\012    return NULL;\012end proc();\012"/>
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        <Metadata-attribute name="Sujet" value="&lt;default&gt;"/>
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        <Metadata-attribute name="Palavras-chave" value="&lt;default&gt;"/>
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        <Metadata-attribute name="Mots cl\303\251s" value="&lt;default&gt;"/>
        <Metadata-attribute name="Assunto" value="&lt;default&gt;"/>
        <Metadata-attribute name="T\303\255tulo" value="&lt;default&gt;"/>
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<Text-field style="Title" layout="Title"><Font underline="true" encoding="UTF-8" size="20">Fun\303\247\303\243o de valor absoluto</Font></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" encoding="UTF-8" foreground="[255,255,255]">CONCEITO B\303\201SICO</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">O valor absoluto absoluto de um n\303\272mero \303\251 um n\303\272mero sem sinal. A nota\303\247\303\243o padr\303\243o para o valor absoluto de um n\303\272mero \303\251 </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYnLUYjNiUtSSNtaUdGJDYmUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGNy9GO1Enbm9ybWFsRidGN0Y9LyUlb3BlbkdRInxnckYnLyUmY2xvc2VHRkFGN0Y9">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYnLUYjNiUtSSNtaUdGJDYmUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGNy9GO1Enbm9ybWFsRidGN0Y9LyUlb3BlbkdRInxnckYnLyUmY2xvc2VHRkFGN0Y9</Equation><Font encoding="UTF-8">. Escrita a partir de uma fun\303\247\303\243o por partes, a f\303\263rmula \303\251 a seguinte:</Font></Text-field>
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<Text-field style="Text" italic="true" layout="Normal"><Font encoding="UTF-8" italic="true">Use o mouse para desenhar uma fun\303\247\303\243o na janela de desenho. Em seguida, use o bot\303\243o para ver seu valor absoluto.</Font></Text-field>
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