%@Auteur: François Meria\par \begin{center} \psset{unit=0.75cm} \pspicture(-2.5,-1)(12,16) \psframe(-3,-1.4)(12,16) \pstGeonode[PointSymbol=none,PosAngle={225,-45,90,90,-45,225}](0,0){A}(9,0){B}(9,9){C} \pstGeonode[PointSymbol=none,PosAngle={90,-45,225}](0,9){D}(11,9){E}(-2,9){F} \pstGeonode[PointSymbol=none,PosAngle={45,135,45,135}](4,0){J}(6,0){K}(6,3){H}(4,3){I} \pstGeonode[PointSymbol=none,PointName=none](6,9){T}(2,9){T'}(7,0){K'}(7,9){C'} \pstGeonode[PointSymbol=none,PointName=none](0,1.5){H'}(11,13){Z_1}(9,13){Z_2} % Points définis par des intersection ou des transformations \pstInterCC[PointNameB=none,PointSymbol=none,PosAngleA=90]{F}{T}{E}{T'}{G}{M_2} \pstInterLL[PosAngle=225,PointSymbol=none]{E}{G}{K}{T}{L} \pstInterLL[PosAngle=10,PointSymbol=none]{E}{G}{K'}{C'}{M} % Points servant à la construction (cachés) \pstTranslation[PosAngle=135,PointSymbol=none]{A}{H'}{L}[P] \pstTranslation[PosAngle=45,PointSymbol=none]{T}{C'}{P}[N] % segments utiles \pstSegmentMark[SegmentSymbol=pstslashh]{A}{D} \pstSegmentMark[SegmentSymbol=pstslashh]{B}{C} \pstLineAB{A}{J} \pstLineAB{J}{K} \pstSegmentMark[SegmentSymbol=pstslash]{K}{B} \pstLineAB{D}{C} \pstSegmentMark[SegmentSymbol=pstslashhh]{F}{D} \pstSegmentMark[SegmentSymbol=pstslashhh]{C}{E} \pstLineAB{I}{H} \pstSegmentMark[SegmentSymbol=pstslash]{H}{K} \pstSegmentMark[SegmentSymbol=pstslash]{I}{J} \pstLineAB{F}{G} \pstLineAB{E}{G} \pstLineAB{P}{N} \pstLineAB{N}{M} \pstLineAB{L}{P} %codages \psline[linestyle=dashed](0,0)(0,-1) \psline[linestyle=dashed](4,0)(4,-0.75) \psline[linestyle=dashed](6,0)(6,-0.75) \psline[linestyle=dashed](9,0)(9,-0.75) \psline[linestyle=dashed](11,13.5)(11,8.3) \psline[linestyle=dashed](0,0)(-0.75,0) \pcline{<->}(0,-0.5)(4,-0.5) \lput*{:U}{4~cm} \pcline{<->}(4,-0.5)(6,-0.5) \lput*{:U}{2~cm} \pcline{<->}(6,-0.5)(9,-0.5) \lput*{:U}{3~cm} \pcline{<->}(0,-0.5)(4,-0.5) \lput*{:U}{4~cm} \pcline{<->}(7,13)(11,13) \lput*{:U}{4~cm} \pcline{<->}(-2.7,9.45)(3.1,14.85) \mput*{8~cm} \pcline{<->}(9,8.35)(11,8.35) \mput*{2~cm} \pcline{<->}(-0.95,0)(-0.95,9) \mput*{9~cm} \pstRightAngle[RightAngleSize=0.2]{D}{A}{B} \pstRightAngle[RightAngleSize=0.2]{A}{D}{C} \pstRightAngle[RightAngleSize=0.2]{A}{B}{C} \pstRightAngle[RightAngleSize=0.2]{I}{J}{A} \pstRightAngle[RightAngleSize=0.2]{H}{K}{B} \pstRightAngle[RightAngleSize=0.15]{L}{P}{N} \pstRightAngle[RightAngleSize=0.15]{P}{N}{M} \pstRightAngle[RightAngleSize=0.15]{C}{E}{Z_1} \pstRightAngle[RightAngleSize=0.15]{E}{Z_1}{Z_2} \put(-2,14){$\begin{array}{l} GE=9~ \mbox{cm} \\PL=1,5~\mbox{cm} \\ PN=1~\mbox{cm}\end{array}$} % Label "maison des mathématiques" \psset{linestyle=none} \pstextpath[c]{\psarcn(6.7,7){1.25}{180}{0}}{La Maison des} \pstextpath[c]{\psarc(6.7,7){1.25}{180}{0}}{Mathématiques} \endpspicture \end{center} \vskip 1cm \centerline{\textbf{CONSIGNES}} \vskip 1cm \begin{myenumerate} \item Rédiger ce devoir sur une feuille double. \item Coller la feuille d'énoncé sur la première page de la feuille double. \item Reproduire la figure ci-dessus en vraies grandeurs et en codant les éléments identiques. \end{myenumerate}