%@Auteur: François Meria\par Dans chacun des cas suivants, faire une figure en vraies grandeurs et calculer l'aire du parallélogramme donné. \begin{multicols}{3} \begin{center} \psset{unit=0.75cm} \pspicture(-0.5,-0.5)(5,4) %\psgrid \pstGeonode[PointSymbol=none,PosAngle={180,0,180}](0,0){A}(3.5,0){B}(1,3.5){D} \pstGeonode[PointSymbol=none,PointName=none](2,3.5){H} \pstLineAB{A}{B} \pstLineAB{A}{D} \pstTranslation[PointSymbol=none,PosAngle=0]{A}{B}{D}{C} \pstLineAB{B}{C} \pstLineAB{C}{D} \pstProjection[PointSymbol=none,PointName=none]{A}{B}{H}{K} \pstLineAB[linestyle=dashed]{K}{H} \pstRightAngle{C}{H}{K} \pstRightAngle{B}{K}{H} \put(2.4,1.75){3,5~cm} \pcline{<->}(0,-0.5)(3.5,-0.5) \lput*{:U}{6~cm} \endpspicture \end{center} \begin{center} \psset{unit=0.75cm} \pspicture(-0.5,-0.5)(5,4) %\psgrid \pstGeonode[PointSymbol=none,PosAngle={180,0,180}](0,0){S}(4,0){N}(1,3.5){F} \pstGeonode[PointSymbol=none,PointName=none](2,3.5){H} \pstLineAB{S}{N} \pstLineAB{S}{F} \pstTranslation[PointSymbol=none,PosAngle=0]{S}{N}{F}{C} \pstLineAB{N}{C} \pstLineAB{C}{F} \pstProjection[PointSymbol=none,PointName=none]{S}{N}{H}{K} \pstLineAB[linestyle=dashed]{K}{H} \pstRightAngle{C}{H}{K} \pstRightAngle{N}{K}{H} \put(2.4,1.75){4~cm} \pcline{<->}(0,-0.5)(4,-0.5) \lput*{:U}{7~cm} \endpspicture \end{center} \begin{center} \psset{unit=0.75cm} \pspicture(-0.5,-0.5)(5,4) %\psgrid \pstGeonode[PointSymbol=none,PosAngle={180,0,180}](0,0){J}(3.5,0){E}(1,2.5){N} \pstGeonode[PointSymbol=none,PointName=none](2,2.5){H} \pstLineAB{J}{E} \pstLineAB{J}{N} \pstTranslation[PointSymbol=none,PosAngle=0]{J}{E}{N}{A} \pstLineAB{E}{A} \pstLineAB{A}{N} \pstProjection[PointSymbol=none,PointName=none]{J}{E}{H}{K} \pstLineAB[linestyle=dashed]{K}{H} \pstRightAngle{A}{H}{K} \pstRightAngle{E}{K}{H} \put(2.4,1.25){2~cm} \pcline{<->}(0,-0.5)(3.5,-0.5) \lput*{:U}{4,5~cm} \endpspicture \end{center} \end{multicols}