/R73 9.96264 Tf [(e)-1.33213(n)25.4368(t)3.35237(i)0.673414(e)-1.33213(l)0.673414(l)0.673414(e)-410.862(d)1.34683(e)-422.907(l)0.673414(')0.673414(i)0.673414(n)25.4368(v)21.758(e)-1.33213(n)1.34683(-)-4.01108]TJ [(l)0.673414(e)-1.33213(\))-237.548(q)-2.33195(u)1.34683(')0.673414(e)-1.33213(x)-2.33195(e)-1.33213(r)-5.91369(c)-1.33213(e)-1.33213]TJ [(e)-4.75507]TJ CCP Physique 1 MP 2007 Corrigé, Concours Communs Polytechniques (CCP), Concours Physique et Chimie MP, AlloSchool Q /R19 9.96264 Tf [(e)-4.75507]TJ 0 0 1 rg [(e)-4.75507]TJ 7.8 0 Td 257.04 0 Td 1 0 0 1 139.8 18.48 Tm [(I)-0.330826(. 1976.88 4749.16 l 9.12 4.8 Td q ET /IM true [(f)4.35514(e)-1.33286(r)-5.91443(t)3.3531(s)-328.353(t)3.3531(h)1.3483(e)-1.33286(r)-5.91517(m)2.02465(i)0.671944(q)-2.33195(u)1.3483(e)-1.3336(s)-328.353(o)-6.01515(b)1.3483(t)3.35237(e)-1.3336(n)25.4383(u)1.3483(e)-1.3336(s)-328.353(a)-6.01515(u)1.3483(x)-339.592(q)-2.33195(u)1.3483(e)-1.3336(s)-3.1377(t)3.35237(i)0.671944(o)-6.01368(n)1.34683(s)-316.308(I)-0.329355(.)0.673414(5)-343.274(e)-1.33213(t)-321.863(I)-0.329355(.)0.673414(6)-6.01368(. S q -119.4 -27.36 Td [(p)1.3483(a)-6.01515(r)-331.129(l)0.671944(e)-1.33286(s)-328.353(s)-3.1377(o)-6.01515(u)1.3483(r)-5.91517(c)-1.3336(e)-1.3336(s)-3.1377(. [(\r)-3.51656]TJ [(x)4.88446]TJ )0.264661]TJ S q q /H 1 /W 1 /BPC 1 (_)Tj ET 0.36 -4.8 Td /IM true [(2)-5.89017]TJ -139.8 -29.04 Td q [(r)-18.7556(! q 306 0 0 -4 1901.9 934.9 cm q 4 0 0 -100 767.9 1558.9 cm /R46 9.96264 Tf [(. /R46 9.96264 Tf 0.36 -4.8 Td EI Q /BPC 1 /R21 9.96264 Tf /R48 6.97385 Tf bou 18 novembre 2013 s’ils vous plait corrigé ccp SI psi 2010. 145.08 4.8 Td /BPC 1 /R46 9.96264 Tf 0 G 0 0 1 rg Q ET /R19 9.96264 Tf Accueil Maths spé ; Problèmes de concours; Grands classiques de concours; Librairie; Si ce site vous a plu, … ()Tj EI Q /R46 9.96264 Tf 10.8 0 Td /R48 6.97385 Tf 2476.11 3972.36 2485.58 3999.7 2496.62 4018.63 c /R21 9.96264 Tf 7.2 -0.96 Td 273.72 0 Td endobj 266.28 0 Td 17072 7.2 1.44 Td 1551.68 4664.21 m /H 1 S stream -156.72 -12 Td 3235.9 4947.68 l /BPC 1 -2.4 -2.52 Td 4.8 TL [(h)-2.00407]TJ /R19 9.96264 Tf 0 g 3.6 -1.44 Td /IM true [( )777(! 1976.88 4068.92 m [(e)-1.3336(t)3.35237]TJ 143.64 4.8 Td /R67 24.7871 Tf 6 TL [(\))2.56133]TJ [(n)1.34683(c)-1.33213(e)-1.33213(p)1.34683(t)3.35237(u)1.34683(e)-1.33213(l)0.673414(l)0.673414(e)-386.772(p)1.34683(a)-6.01368(r)-5.91369(t)3.35237(i)0.673414(-)-4.01108]TJ Le Calcul Des Coefficients De La Decomposition En Serie De Fourier Est … f [(T)6.05452(�)1.64678(l)4.40938(�)1.64678(c)1.64188(h)-4.59889(a)25.2865(r)3.0338(g)5.19519(�)-359.703(g)5.19519(r)3.0338(a)-1.48014(t)-3.68238(u)-4.59889(i)4.40938(t)-3.68238(e)1.64678(m)-0.227085(e)1.64678(n)-4.59889(t)-338.266(s)5.76699(u)-4.60052(r)3.03216]TJ ET 266.52 0 Td 1898.22 4380.73 1835.15 4317.66 1835.15 4239 c /R27 9.96264 Tf Q /R10 8.96638 Tf ET f 1538.39 4123.83 l q Q [(N)3.21122]TJ 4.56 -3.6 Td q 265.08 0 Td 251.64 0 Td /R14 7.97011 Tf S /R21 9.96264 Tf 5.04 0 Td 15.48 0 Td /R46 9.96264 Tf 984.734 4561.32 l )0.673414]TJ EI Q /R19 9.96264 Tf 43.44 0 Td /R25 14.3462 Tf 260.16 0 Td BI 7.44 3.6 Td )-372.723(C)-0.657241(e)-374.729(p)1.34683(r)-5.91369(o)-6.01368(b)1.34683(l)0.673414(�)-1.33213(m)2.02318(e)-374.727(s)-3.1377(a)-6.01368(n)1.34683(s)-376.533(d)1.34683(i)0.673414()2.02318(c)-1.33213(u)1.34683(l)0.673414(t)3.35237(�)-386.772(c)-1.33213(o)]TJ /R85 9.96264 Tf f 264.24 0 Td /R46 9.96264 Tf 1564.96 4637.64 l 1710.02 4947.68 l [(2)-6.01368(3)-6.01368]TJ Physique résumé du cours en fiches MPSI-MP. Oral. Q [(1)1.60477]TJ 8.33333 0 0 8.33333 0 0 cm BT -273.72 -12 Td 8.76 7.32 Td -34.68 -22.08 Td [( )777(! 2366.66 4239 m /R21 9.96264 Tf /R75 6.97385 Tf [(t)-0.34994]TJ endobj /R65 9.96264 Tf [(�)3.27722(d)-4.63565(i)4.3718(t)-1.9098(i)4.3718(o)5.19519(n)-4.63565(s)-344.166(H)-5.74493]TJ /H 1 [(x)-6.87278]TJ 11.64 0 Td S q ET 258 0 Td <> [(a)-6.01368(r)-5.91369(t)3.35237(i)0.673414(e)-374.727(e)-1.33213(s)-3.1377(t)-382.088(c)-1.33213(o)-6.01368(n)1.34683(s)-3.1377(a)-6.01368(-)-4.01108]TJ /BPC 1 q 4 0 0 -119 1901.9 930.9 cm /R46 9.96264 Tf -279.96 -12 Td /R19 9.96264 Tf ID T*[(O)-5.92546]TJ [()-5.89017]TJ /R19 9.96264 Tf q 4 0 0 -139 2262.9 2832.9 cm Accueil » Non classé » centrale pc 2014 physique 1 corrigé. [(p)-22.7417(o)-6.01515(i)0.671944(n)25.4383(t)-357.997(a)-6.01515(p)1.3483(p)1.3483(a)-6.01515(r)-5.91443(t)3.3531(e)-1.3336(n)1.3483(a)-6.01515(n)25.4383(t)-333.908(a)-6.01515(u)-360.002(r)-5.91517(o)-6.01515(u)1.3483(l)0.671944(e)-1.3336(a)-6.01515(u)-335.912(n)1.3483]TJ 3032.11 4380.73 2969.03 4317.66 2969.03 4239 c 2366.66 4258.66 2350.89 4274.43 2331.22 4274.43 c BI /R79 5.97758 Tf 8.16 1.44 Td 1 0 0 1 408.24 674.04 Tm EI Q Section MP. 7.44 -1.44 Td q 4 0 0 -155 2403.9 1916.9 cm EI Q [(r)-270.904(p)1.34683(a)-6.01368(r)-294.994(i)0.673414(n)25.4368(t)3.35237(�)-1.33213(g)-6.01368(r)-5.91369(a)-6.01368(t)3.35237(i)0.673414(o)-6.01368(n)1.34683(. 1 g Q /IM true /R65 9.96264 Tf 764.34 4380.73 701.266 4317.66 701.266 4239 c 984.734 4239 m [(A)20.448(n)-4.03313(n)-4.03166(a)5.09325(l)2.54662(e)2.1761(s)-350.049(d)5.09325(e)2.1761(s)-362.094(C)4.72272(o)5.09325(n)-4.03166(c)50.3561(o)5.09325(u)-5.49024(rs)-0.74399]TJ /R12 8.96638 Tf /BPC 1 [(\()3.35237(r)-5.91369(o)-6.01368(t)3.35237(a)-6.01368(t)3.35237(i)0.673414(o)-6.01368(n)1.34683(\))3.35237]TJ 6.72 1.44 Td [(. h [(e)-4.75507]TJ 1 0 0 1 66.36 674.28 Tm /R46 9.96264 Tf [(z)-4.82271]TJ )-4.34043]TJ -27.96 -15.36 Td EI Q 8.33333 0 0 8.33333 0 0 cm BT 2118.62 4317.66 2055.55 4380.73 1976.88 4380.73 c 1551.68 4647.6 l [(\))-274.475(=)-5.92546]TJ /R27 9.96264 Tf 0 0 0 1 k BI q Section MP. /W 1 /BPC 1 /R19 9.96264 Tf q Q [(\()3.35237(t)3.35237(r)-5.91369(a)-6.01368(n)1.34683(s)-3.1377(l)0.673414(a)-6.01368(t)3.35237(i)0.673414(o)-6.01368(n)1.34683(\))3.35237]TJ q 167 0 0 -4 530.9 2521.9 cm /H 1 843 4239 m [(F)3.9454(r)1.0035(e)2.12586(i)2.11116(n)-2.69807(a)27.4414(g)2.24962(e)-409.412(d)-4.26275(')-4.17576(u)2.33416(n)-404.198(l)3.01174(i)2.11238(n)-2.69807(g)2.24962(o)4.21252(t)-426.506(m)4.65607(�)2.12464(t)95.4445(a)-2.67111(l)3.01174(l)3.01174(i)2.11238(q)4.21252(u)2.33539(e)2.12464]TJ q 3048 0 0 -4 530.9 5587.9 cm 288.24 0 Td 1 0 0 1 66.36 674.28 Tm S %�쏢 3394.24 4239 m /R46 9.96264 Tf 1835.15 4160.34 1898.22 4097.27 1976.88 4097.27 c [(\r)-3.51656]TJ 2827.3 4380.73 m /W 1 986.895 4533.98 993.371 4552.69 1000.93 4565.64 c [(P)5.86664(r)-5.91369(o)-6.01368(f)4.35514(e)-1.33213(s)-3.1377(s)-3.1377(e)-1.33213(u)1.34683(r)-270.904(e)-1.33213(n)-275.688(C)-0.65577(P)5.86664(G)1.60267(E)5.86664(\))3.35237(. /R19 9.96264 Tf 5.28 0 Td 8.4 0 Td 2331.22 4239 m [(r)-187.386(! )-240.228(O)-5.33879(r)-5.91517(,)-228.183(l)0.671944(a)-246.915(f)4.35514(o)-6.01515(r)-5.91517(c)-1.3336(e)-230.189(d)1.3483(e)-242.234(f)4.35514(r)-5.91517(o)-6.01515(t)3.35237(t)3.35237(e)-1.3336(m)2.02465(e)-1.3336(n)25.4383(t)-237.548(\()3.35237(l)0.673414(')0.673414(a)-6.01368(c)-1.33213(t)3.35237(i)0.673414(o)-6.01368(n)-227.508(d)1.34683(e)-242.232(c)-1.33213(o)-6.01368(n)25.4368(t)3.35237(a)-6.01368(c)-1.33213(t)-225.503(t)3.35237(a)-6.01368(n)1.34683(g)-6.01368(e)-1.33213(n)25.4368(t)3.35237(i)0.673414(e)-1.33213(l)]TJ 1494.43 4195.64 114.484 86.7109 re -310.92 -19.08 Td [(K)-3671(P)3.27722(u)-4.63646(b)-4.63646(l)4.3718(i)4.3718(�)-345.938(d)-4.63646(a)5.19519(n)-4.63646(s)-330.783(l)4.3718(e)2.02906(s)3.8]TJ 3123.39 4761.77 3113.92 4789.12 3110.77 4805.94 c [(I)-0.34994]TJ EI Q 1 g 1 0 0 1 234.735 506.466 Tm S 1 0 0 1 282.807 476.152 Tm /W 1 6.12 0 Td )0.673414]TJ [(A)20.448(n)-4.03313(n)-4.03313(a)5.09472(l)2.54662(e)2.1761(s)-362.094(d)5.09325(e)2.1761(s)-362.094(C)4.72272(o)5.09325(n)-4.03166(c)50.3561(o)5.09325(u)-5.49024(rs)-0.74399]TJ 6.84 TL /R48 6.97385 Tf 3.32083 w ET /IM true ET /BPC 1 138 3.6 Td 0 0 1 rg /R19 9.96264 Tf 1710.02 4947.68 m [(X)-273.825(=)-5.92546]TJ [(d)1.3483(u)-335.912(m)2.02392(o)-6.01515(u)1.3483(v)21.758(e)-1.3336(m)2.02465(e)-1.3336(n)25.4383(t)-321.863(t)3.35237(r)-5.91517(o)-6.01515(u)1.3483(v)21.758(�)-1.3336(e)-314.504(�)-331.23(l)0.671944(a)-331.23(q)-2.33195(u)1.3483(e)-1.3336(s)-3.1377(t)3.35237(i)0.671944(o)-6.01515(n)-335.912(I)-0.329355(.)0.673414(8)-6.01368(. q 5.04 0 Td ID /W 1 8.33333 0 0 8.33333 0 0 cm BT 3.6 3.6 Td Q )-5.85194(1)-3.30091]TJ [(. 8.33333 0 0 8.33333 0 0 cm BT 2331.22 4837.96 l 1. 2350.89 4203.57 2366.66 4219.34 2366.66 4239 c Q -3.16688 7.19531 Td /R19 9.96264 Tf 6.6 0 Td -129.6 -13.08 Td h 255.24 0 Td [(A)20.448(n)-4.03313(n)-4.03166(a)5.09325(l)2.54662(e)2.1761(s)-350.049(d)5.09325(e)2.1761(s)-362.094(C)4.72272(o)5.09325(n)-4.03166(c)50.3561(o)5.09325(u)-5.49024(rs)-0.74399]TJ /R19 9.96264 Tf q f 1 0 0 1 415.92 327.84 Tm [( )704.729(! Merci. 10.92 -1.44 Td 1 0 0 1 404.461 500.406 Tm [(I)-0.330826]TJ 3.36 -0.96 Td [(! /R83 6.97385 Tf 8.33333 0 0 8.33333 0 0 cm BT /R21 9.96264 Tf /W 1 /W 1 f /R21 9.96264 Tf -265.32 -12 Td f Mathématiques 2. q 423 0 0 -4 1843.9 2836.9 cm ET q 2203.57 4380.73 l /R27 9.96264 Tf Q /R27 9.96264 Tf EI Q 2.4 -4.8 Td )0.671944(b)-504.542(L)-1.49607(a)-234.87(c)22.7571(h)1.3483(a)-6.01515(l)0.671944(e)-1.33286(u)1.3483(r)-234.77(q)-2.33195(u)1.3483(e)-230.189(l)0.671944(e)-242.234(r)-5.91517(�)-1.3336(g)-6.01515(�)-1.3336(n)1.3483(�)-1.3336(r)-5.91517(a)-6.01515(t)3.35237(e)-1.3336(u)1.3483(r)-210.68(n)1.3483(')0.671944(a)-246.915(p)1.3483(a)-6.01515(s)-231.993(p)1.34683(u)-239.553(�)-1.33213(c)22.7579(h)1.34683(a)-6.01368(n)1.34683(g)-6.01368(e)-1.33213(r)-222.724(a)18.0763(v)21.758(e)]TJ [()-5.89017]TJ EI Q q 3048 0 0 -5 530.9 258.9 cm /H 1 /H 1 1551.68 4380.73 m [( )777(! 3189.43 4097.27 3252.5 4160.34 3252.5 4239 c 7.8 0 Td 1 0 0 1 276.661 507.676 Tm /R21 9.96264 Tf 4.68 -1.44 Td 3252.5 4317.66 3189.43 4380.73 3110.77 4380.73 c )0.264661]TJ 5.04 0 Td EI Q BI 0 g 9.96 0 Td /R29 8.96638 Tf [(2)8.86123]TJ [(I)-0.34994]TJ 11.76 0 Td /BPC 1 q 4 0 0 -108 530.9 3856.9 cm /R77 8.96638 Tf -2.52 -0.24 Td 1 0 0 1 409.56 674.04 Tm Base de données des concours. /R27 9.96264 Tf 6.64175 w )0.673414]TJ q 0.12 -4.8 Td -231.36 -11.88 Td /R48 6.97385 Tf 43.44 0 Td )0.673414]TJ ET 0.36 -4.8 Td )0.673414]TJ CCP 2011. 6.64175 w q BI q Les énoncés des concours sont disponibles sur le site scei-concours.org, mais ils y sont dispersés.Ici, vous pouvez accéder aux énoncés de maths, physique, chimie et informatique posés aux écrits de Polytechnique, Mines/Ponts, Centrale/Supélec, CCP, E3A, ENAC et Mines Sup depuis 2000. [(s)-3.1377(i)0.671944(f)4.35514(,)-276.363(t)3.3531(r)-5.91443(a)-6.01515(i)0.671944(t)3.35237(e)-278.369(t)3.35237(o)-6.01515(u)1.3483(t)-273.683(d)1.3483(')0.671944(a)-6.01515(b)-22.7417(o)-6.01515(r)-5.91517(d)-275.687(d)1.3483(u)-275.687(m)2.02465(o)-6.01515(t)3.35237(e)-1.3336(u)1.3483(r)-282.95(d)1.3483(e)-278.369(S)1.34683(t)3.35237(i)0.673414(r)-5.91369(l)0.673414(i)0.673414(n)1.34683(g)-271.004(i)0.673414(d)1.34683(�)-1.33213(a)-6.01368(l)0.673414(,)-276.362(p)1.34683(u)1.34683(i)0.673414(s)-280.173(c)-1.33213(o)]TJ 7.8 0 Td 1976.88 4239 m Je crois qu’il y a des erreurs dans le corrigé de CCP physique 1 2008:-à la question I 2 d de la partie mécanique, on nous demande l’énergie dissipée, donc je pense qu’il y a une erreur de signe.-à la question II 2 b idem une erreur de signe s’est glissée dans le corrigé, on n’a pas -fmg mais fmg. [(g)-4.8352]TJ [( )-5.92546]TJ f )0.264661]TJ [(s)-3.1377(u)1.3483(l)0.671944(t)3.3531(a)-6.01515(t)-321.862(o)-6.01515(b)1.3483(t)3.35237(e)-1.3336(n)25.4383(u)-335.912(�)-331.23(l)0.671944(a)-331.23(q)-2.33195(u)1.3483(e)-1.3336(s)-3.1377(t)3.35237(i)0.671944(o)-6.01515(n)-323.867(I)-0.330826(.)0.671944(1)-6.01515(. ET ET ()Tj [(I)-24.4205(I)-0.330826(.)0.671944(1)-6.01515(.)0.671944(e)-495.178(P)5.86664(r)-5.91443(o)-6.01515()1.3483(t)3.3531(e)-1.33286(r)-331.129(d)1.3483(e)-326.549(l)0.671944(')0.671944(a)-6.01515(n)1.3483(a)-6.01515(l)0.671944(o)-6.01515(g)-6.01515(i)0.671944(e)-314.504(a)18.0749(v)21.758(e)-1.3336(c)-314.504(l)0.671944(a)-343.275(q)-2.33195(u)1.3483(e)-1.3336(s)-3.1377(t)3.35237(i)0.671944(o)-6.01515(n)-323.868(I)-24.4194(I)-0.329355(.)0.673414(1)-6.01368(.)0.673414(d)1.34683(. /IM true [(e)-1.33213(t)3.35237]TJ [( )777(! )0.673414(4)-331.229(s)-3.1377(u)1.34683(r)-331.129(l)0.673414(e)-1.33213(s)-340.398(t)]TJ 111.36 1.44 Td -2.64 -0.24 Td /R46 9.96264 Tf Q [(`)-4.91093]TJ /R10 8.96638 Tf 1833.73 4319.5 1840.82 4338.07 1846.59 4348.33 c [(\()2.55986(I)-0.34994]TJ Corrige. [(I)-0.330826(. f [( )777(! 1 0 0 1 265.41 537.888 Tm 66.12 2.52 Td 1976.88 4380.73 m [(u)1.34683(j)4.35514(e)-1.33213(t)3.35237(,)-252.272(t)3.35237(r)-5.91369(�)-1.33213(s)-244.038(p)1.34683(r)-5.91369(o)-6.01368(g)-6.01368(r)-5.91369(e)-1.33213(s)-3.1377(-)-4.01108]TJ 8.33333 0 0 8.33333 0 0 cm BT /R48 6.97385 Tf ET q [(t)3.3531(i)0.671944(o)-6.01515(n)-408.182(d)1.3483(e)-410.863(S)1.3483(t)3.35237(i)0.671944(r)-5.91517(l)0.671944(i)0.671944(n)1.3483(g)-6.01515(,)-396.813(p)-22.7417(o)-6.01515(u)1.3483(r)-415.445(m)2.02465(o)-6.01515(n)25.4383(t)3.35237(r)-5.91517(e)-1.3336(r)-391.355(l)0.671944(')0.671944(i)0.671944(n)1.3483()1.3483(u)1.34683(e)-1.33213(n)1.34683(c)-1.33213(e)-422.907(d)1.34683(e)-410.862(d)1.34683(i)0.673414()5.02855(�)-1.33213(r)-5.91369(e)-1.33213(n)25.4368(t)3.35237(s)-400.623(p)1.34683(a)-6.01368(r)-5.91369(a)]TJ 1719.98 4960.96 l 7.2 -1.44 Td -1.32 -2.52 Td /IM true 41.04 3.72 Td 5.52 0 Td [(o)-6.01368(n)-299.778(s)-3.1377(u)1.34683(r)-319.084(d)1.34683(e)-1.33213(u)1.34683(x)-327.547(r)-5.91369(o)-6.01368(u)1.34683(l)0.673414(e)-1.33213(a)-6.01368(u)1.34683(x)-2.33195(,)0.673414]TJ [(2)-331.23(s)-3.1377(')0.671944(�)-1.3336(c)-1.3336(r)-5.91369(i)0.673414(t)3.35237]TJ [(2)1.16367]TJ /R46 9.96264 Tf ID [(r)-5.91369(a)-6.01368(n)1.34683(s)-3.1377(f)4.35514(e)-1.33213(r)-5.91369(t)3.35237(s)-316.308(t)3.35237(h)1.34683(e)-1.33213(r)-5.91369(m)2.02318(i)0.673414(q)-2.33195(u)1.34683(e)-1.33213(s)-3.1377(. 843 4239 m /R32 8.96638 Tf 0 0 0 1 k 3252.5 4239 m Physique 2\ Pc\ Oralpc-phy2-2011-02-corrige. -303.24 -11.88 Td /H 1 1 0 0 1 262.68 18.48 Tm Ce sujet se compose de deux grandes parties, l’une consacrée à la mécanique, l’autre à une étude thermodynamique. /R32 8.96638 Tf <> Corrigepublie Dans Les Annales Des Concours. 2347.41 4833.64 l Q )0.265396]TJ )0.673414]TJ [(a)-6.01368(n)1.34683(i)0.673414(q)-2.33195(u)1.34683(e)-1.33213(s)-400.623(p)1.34683(a)-6.01368(r)-5.91369(t)3.35237(i)0.673414(-)-4.01108]TJ 254.28 0 Td [(e)-4.75507]TJ )0.671944]TJ 1551.68 4097.27 m 256.08 0 Td 58.08 4.8 Td 0.12 -4.8 Td /H 1 1719.98 4934.39 l [(\()2.56133]TJ /W 1 1 0 0 1 231.6 101.88 Tm 261.48 0 Td [(1)8.85878]TJ 3252.5 4317.66 3189.43 4380.73 3110.77 4380.73 c /W 1 268.2 0 Td Q 185.616 15.4927 Td /R65 9.96264 Tf [( )-5.92546]TJ /R48 6.97385 Tf 1551.68 4364.13 m ID Q q q /R19 9.96264 Tf BI [(a)18.0749(v)21.7588(e)-1.33286(c)-1.33286]TJ 2350.89 4203.57 2366.66 4219.34 2366.66 4239 c /R21 9.96264 Tf 1 0 0 1 270.519 584.041 Tm 8.33333 0 0 8.33333 0 0 cm BT 9.36 2.4 Td 70.8 0 Td 0 g [(d)1.3483(e)-290.413(m)2.02392(a)-6.01515(t)3.3531(i)0.671944(�)-1.33286(r)-5.91517(e)-290.414(d)1.3483(a)-6.01515(n)1.3483(s)-292.218(c)-1.3336(e)-1.3336(t)3.35237(t)3.35237(e)-302.459(t)3.35237(r)-5.91517(a)-6.01515(n)1.3483(c)22.7564(h)1.3483(e)-1.3336(,)-288.408(p)1.3483(u)1.3483(i)0.671944(s)-292.218(d)1.3483(a)-6.01368(n)1.34683(s)-292.218(t)3.35237(o)-6.01368(u)1.34683(t)-297.773(l)0.673414(e)-302.457(r)-5.91369(�)-1.33213(g)-6.01368(�)-1.33213(n)1.34683(�)-1.33213(r)-5.91369(a)-6.01368(t)3.35237(e)-1.33213(u)]TJ [(=)-282.96(\()2.55986]TJ 20.52 0 Td [(x)-6.87278]TJ Ce corrigé est proposé par Nicolas Weiss ... 14 votes. [(z)-5.62929]TJ [(O)-3.6252]TJ /R46 9.96264 Tf /BPC 1 )0.264661]TJ /R21 9.96264 Tf -1.2 -2.52 Td 1 0 0 1 67.2 305.52 Tm /R46 9.96264 Tf /R48 6.97385 Tf /BPC 1 [(a)-319.184(v)-2.33195(i)0.673414(t)3.35237(e)-1.33213(s)-3.1377(s)-3.1377(e)-302.457(d)1.34683(e)-314.502(g)-6.01368(l)0.673414(i)0.673414(s)-3.1377(s)-3.1377(e)-1.33213(m)2.02318(e)-1.33213(n)25.4368(t)3.35237]TJ q BI 4.68 -1.44 Td [(I)-24.4205(I)-0.330826(.)0.671944(2)-6.01515(. /H 1 /R21 9.96264 Tf 6 TL [(I)-0.330826]TJ -79.9833 -83.8519 Td ID q 167 0 0 -4 530.9 3749.9 cm )-396.812(E)5.86664(n)1.34683()1.34683(n)1.34683(,)-396.812(u)1.34683(n)1.34683(e)-386.772(d)1.34683(e)-1.33213(r)-5.91369(n)1.34683(i)0.673414(�)-1.33213(r)-5.91369(e)-386.772(p)]TJ [(1)-6.01368(. -354.72 -11.88 Td ID EI Q /R46 9.96264 Tf [(a)-6.01368(n)1.34683(i)0.673414(q)-2.33195(u)1.34683(e)-434.952(d)1.34683(u)-432.273(s)-3.1377(o)-6.01368(l)0.673414(i)0.673414(d)1.34683(e)-1.33213(,)0.673414]TJ /BPC 1 T*[(1)1.16367]TJ /R27 9.96264 Tf [(L)-1.49607(e)-338.593(r)-5.91443(o)-6.01515(u)1.3483(l)0.671944(e)-1.33286(a)-6.01515(u)-311.822(�)-1.33286(t)3.3531(a)-6.01515(n)25.4383(t)-333.908(e)-1.3336(n)-323.867(r)-5.91517(o)-6.01515(t)3.35237(a)-6.01515(t)3.35237(i)0.671944(o)-6.01515(n)-323.867(a)-6.01515(u)1.3483(t)3.35237(o)-6.01515(u)1.3483(r)-319.085(d)1.3483(e)-338.594(l)0.671944(')0.671944(a)-6.01368(x)-2.33195(e)-1.33213]TJ [(v)2.19962]TJ [( )777(! 6.24 -1.44 Td Q )0.264661]TJ 4.92 2.52 Td /R19 9.96264 Tf /R27 9.96264 Tf EI Q /R12 8.96638 Tf 7.8 1.44 Td 1976.88 4239 m Q /R77 8.96638 Tf )-324.543(C)-0.657241(')0.671944(e)-1.3336(s)-3.1377(t)-333.908(p)-22.7417(o)-6.01368(u)1.34683(r)-5.91369(q)-2.33195(u)1.34683(o)-6.01368(i)0.673414]TJ 1989.5 4761.77 1980.04 4789.12 1976.88 4805.94 c /R63 11.9552 Tf [(S)-4.5025(o)5.31609(l)4.43715(i)4.43715(d)-4.5025(e)-332.45(S)-4.5025]TJ )-2.10386]TJ (_)Tj Section MP. Q 8.33333 0 0 8.33333 0 0 cm BT /IM true 4.68 -3.6 Td 6.64175 w /R19 9.96264 Tf [(\))2.56133]TJ [(&)-1.90592]TJ /R48 6.97385 Tf 1490.4 4477.04 122.555 90.8633 re [( )777.777(! /H 1 2472.96 3955.53 m [(2)-5.89017]TJ -323.04 -21.84 Td )-252.272(L)-1.4968(e)-254.277(s)]TJ [()-5.89017]TJ 3.6 3.6 Td 2.4 -4.8 Td ID /W 1 4.44 6.24 Td /R48 6.97385 Tf [(�)-1.33213(m)2.02318(e)-326.547(d)1.34683(e)-338.592(t)3.35237(r)-5.91369(a)-6.01368(n)1.34683(s)-3.1377(m)2.02318(i)0.673414(s)-3.1377(-)-4.01108]TJ -261.36 -15.36 Td 3252.5 4947.68 m [(u)1.3483(n)-323.867(s)-3.1377(u)1.3483(p)1.3483(p)-22.7417(o)-6.01515(r)-5.91443(t)-297.772(s)-3.1377(u)1.3483(r)-307.04(u)1.3483(n)-311.822(s)-3.1377(o)-6.01515(l)0.671944(i)0.671944(d)1.3483(e)-302.459(e)-1.3336(s)-3.1377(t)3.35237(,)-312.498(e)-1.3336(n)-311.822(c)-1.3336(a)-6.01515(s)-304.263(d)1.3483(e)-314.504(g)-6.01515(l)0.671944(i)0.671944(s)-3.1377(s)-3.1377(e)-1.33213(m)2.02318(e)-1.33213(n)25.4368(t)3.35237(,)-300.452(o)-6.01368(p)1.34683(p)-22.7432(o)-6.01368(s)-3.1377(�)-1.33213(e)-302.457(�)-307.139(l)]TJ T*[(1)1.16367]TJ [( )573.011(! -2.4 -2.52 Td )-312.497(S)-335.913(�)-1.33213(t)3.35237(a)-6.01368(n)25.4368(t)-309.818(e)-1.33213(n)-323.868(t)3.35237(r)-5.91369(a)-6.01368(n)1.34683(s)-3.1377(l)0.673414(a)-6.01368(t)3.35237(i)0.673414(o)-6.01368(n)-311.823(d)1.34683(a)-6.01368(n)1.34683(s)-328.353(l)0.673414(e)-326.547(r)-5.91369(�)-1.33213(f)4.35514(�)-1.33213(r)-5.91369(e)-1.33213(n)25.4368(t)3.35237(i)]TJ Annales Physique Chimie CNC Concours National Commun Marocain. -24.12 -15.36 Td [(�)-1.33213(m)2.02318(e)-386.772(d)1.34683(e)-386.772(K)18.7497(�)-5.34026(n)1.34683(i)0.673414(g)-367.364(e)-1.33213(t)-382.088(l)0.673414(e)-386.772(r)-5.91369(�)-1.33213(-)-4.01108]TJ 44.64 0 Td f [(a)-6.01368(l)0.673414(e)-1.33213(s)-280.173(d)1.34683(e)-1.33213(s)-280.173(t)3.35237(r)-5.91369(a)18.0763(v)57.893(a)-6.01368(u)1.34683(x)-255.277(e)-1.33213(t)-273.683(t)3.35237(r)-5.91369(a)-6.01368(n)1.34683(s)-3.1377(-)-4.01108]TJ [(1)1.60477]TJ /H 1 )0.671944]TJ 62.76 0 Td 1.56 -6.72 Td [(1)1.16367]TJ /R19 9.96264 Tf [(I)-0.34994]TJ 1551.68 4647.6 m [(\))2.56133]TJ BI [(\))2.56133]TJ 2339.86 4846.59 2333.38 4865.3 2331.22 4876.81 c [(v)2.19962]TJ 1 0 0 1 86.88 452.88 Tm 4.68 -1.44 Td 3.36 -0.96 Td 4.32 -3.72 Td h /R19 9.96264 Tf 3032.11 4380.73 2969.03 4317.66 2969.03 4239 c 9.12 4.8 Td [(o)-6.01515(n)25.4383(t)-321.863(l)0.671944(a)-331.23(m)2.02465(�)-1.3336(m)2.02465(e)-326.549(v)-2.33195(i)0.671944(t)3.35237(e)-1.3336(s)-3.1377(s)-3.1377(e)-1.33213(. 1 0 0 1 98.4 189 Tm [(X)-225.645(+)-5.92546]TJ /R17 9.96264 Tf [()-5.89017]TJ -2.4 -2.52 Td /R44 9.96264 Tf 39 0 obj 250.44 0 Td )0.264661]TJ q 4 0 0 -139 1843.9 2832.9 cm -246.48 -12 Td 8.33333 0 0 8.33333 0 0 cm BT [(�)-415.545(u)1.3483(n)1.3483(e)-422.908(m)2.02465(o)-30.1051(d)1.3483(�)-1.3336(l)0.671944(i)0.671944(s)-3.1377(a)-6.01515(t)3.35237(i)0.671944(o)-6.01515(n)-420.227(p)1.3483(l)0.671944(u)1.3483(s)-412.668(r)-5.91517(�)-1.3336(a)-6.01515(l)0.671944(i)0.671944(s)-3.1377(t)3.35237(e)-410.864(d)1.3483(u)-420.227(r)-5.91369(�)-1.33213(g)-6.01368(�)-1.33213(n)1.34683(�)-1.33213(r)-5.91369(a)-6.01368(t)3.35237(e)-1.33213(u)1.34683(r)-5.91369(,)-396.812(p)1.34683(i)0.673414(�)-1.33213(c)-1.33213(e)-422.907(e)-1.33213(s)-3.1377(s)]TJ 1 0 0 1 197.88 643.44 Tm ET Q S /R10 8.96638 Tf [(1)1.16367]TJ -9.96 -15.36 Td Q )0.673414]TJ [(I)-0.34994]TJ /R83 6.97385 Tf 3110.77 4239 m © 2021 - eLearning.CPGE | Premium Partnership with CPGE SUP FAMILYCPGE SUP FAMILY 1976.88 4380.73 m ID -250.44 -12 Td 7.56 0 Td 7.56 0 Td 17.16 4.8 Td Q 0 g (_)Tj 48 4.8 Td [( )777(! -265.08 -11.88 Td 3.84 0 Td ET [(I)-24.4208(I)-0.330826(. /W 1 BI /R48 6.97385 Tf 132.033 -6.23531 Td [(d)1.3483(u)-335.912(l)0.671944(a)-6.01515(b)-22.7417(o)-6.01515(r)-5.91443(a)-6.01515(t)3.3531(o)-6.01515(i)0.671944(r)-5.91443(e)-1.3336(,)-312.498(i)0.671944(l)-336.588(v)-2.33195(i)0.671944(e)-1.3336(n)25.4383(t)3.35237]TJ Q 286.56 0 Td 4.92 2.4 Td /R69 9.96264 Tf S EI Q ET 8.33333 0 0 8.33333 0 0 cm BT 5.76 0 Td 1 0 0 1 328.2 18.48 Tm [(\r)-3.51656]TJ -254.28 -12 Td 1 0 0 1 333.443 537.888 Tm [(1)-3.16122]TJ 2472.96 4012.32 l f Enoncé / ... CCP 2013; CCP 2011; CCP 2010; CCP 2009; CCP 2008; CCP 2007; CCP 2006; CCP 2005; CCP 2004; CCP 2003; CCP 2002; CCP 2001; MATHS SPE. ID q 3048 0 0 -4 436.9 5587.9 cm [(O)-3.62356]TJ /H 1 8.33333 0 0 8.33333 0 0 cm BT EI Q ID [(y)-6.04098]TJ [(t)-0.34994]TJ -266.52 -11.88 Td c Éditions H&K Publié dans les Annales des Concours 1/23 CCP Physique 1 MP 2011 — Corrigé Ce corrigé est proposé par Jimmy Roussel (Professeur en CPGE); il a été relu par Benoît Lobry (Professeur en CPGE) et Jean-Julien Fleck (Professeur en CPGE). /R69 9.96264 Tf c Éditions H&K Publié dans les Annales des Concours 1/29 CCP Physique 1 MP 2013 — Corrigé Ce corrigé est proposé par Victor Bertrand (ENS Lyon); il a été relu par Guillaume Maimbourg (ENS Cachan) et Jean-Julien Fleck (Professeur en CPGE). 2890.39 4404.4 l 7.32 TL [(T)6.05452(�)1.64678(l)4.40938(�)1.64678(c)1.64188(h)-4.59889(a)25.2865(r)3.0338(g)5.19519(�)-359.703(g)5.19519(r)3.0338(a)-1.48014(t)-3.68238(u)-4.59889(i)4.40938(t)-3.68238(e)1.64678(m)-0.227085(e)1.64678(n)-4.59889(t)-338.266(s)5.76535(u)-4.59889(r)3.03216]TJ [(X)3.21122]TJ [(c)-1.33286(u)1.3483(l)0.671944(i)0.671944(�)-1.33286(r)-5.91443(e)-1.33286(,)-432.948(m)2.02465(a)-6.01515(i)0.671944(s)-436.758(a)-6.01515(s)-3.1377(s)-3.1377(e)-1.3336(z)-422.909(c)-1.3336(a)-6.01515(l)0.671944(c)-1.3336(u)1.3483(l)0.671944(a)-6.01515(t)3.35237(o)-6.01515(i)0.671944(r)-5.91517(e)-1.3336(,)-420.903(p)-22.7417(e)-1.3336(r)-5.91517(m)2.02318(e)-1.33213(t)-442.313(d)1.34683(e)-434.952(s)-3.1377(e)-434.952(t)3.35237(e)-1.33213(s)-3.1377(t)3.35237(e)-1.33213(r)-439.534(e)-1.33213(n)-444.318(m)2.02318(�)-1.33213(c)]TJ 3235.9 4947.68 l 19.68 0 Td [(=)-5.92546]TJ /R21 9.96264 Tf f /R19 9.96264 Tf 5.04 0 Td 1846.59 4348.33 m q 4 0 0 -155 1702.9 1916.9 cm /R69 9.96264 Tf /R46 9.96264 Tf [(�)3.27722(d)-4.63565(i)4.3718(t)-1.9098(i)4.3718(o)5.19519(n)-4.63565(s)-357.549(H)-5.74493]TJ 2118.62 4317.66 2055.55 4380.73 1976.88 4380.73 c 18.24 0 Td )0.264661]TJ [( )-5.92546]TJ )2.92107(f)2.92107(r)2.92107]TJ [()-5.89017]TJ 1538.39 4354.17 l 7.56 0 Td /IM true Q 2055.55 4097.27 2118.62 4160.34 2118.62 4239 c Q [(. [(e)-1.33213(t)-273.683(c)-1.33213(a)-6.01368(l)0.673414(c)-1.33213(u)1.34683(l)0.673414(e)-1.33213(r)-270.904(l)0.673414(a)-283.049(q)-2.33195(u)1.34683(a)-6.01368(n)25.4368(t)3.35237(i)0.673414(t)3.35237(�)-1.33213]TJ [(s)-3.1377(o)-6.01515(n)25.4383(t)-237.548(p)-22.7432(o)-6.01368(s)-3.1377(i)0.673414(t)3.35237(i)0.673414(f)4.35514(s)-171.768(;)-252.272(l)0.673414(a)-258.959(v)-2.33195(i)0.673414(t)3.35237(e)-1.33213(s)-3.1377(s)-3.1377(e)-242.232(d)1.34683(e)-254.277(g)-6.01368(l)0.673414(i)0.673414(s)-3.1377(s)-3.1377(e)-1.33213(m)2.02318(e)-1.33213(n)25.4368(t)-237.548(e)-1.33213(s)-3.1377(t)-249.593(d)1.34683(o)-6.01368(n)1.34683(c)-254.277(d)1.34683(i)0.673414(-)-4.01108]TJ [(M)-4.69626(�)-3.02742(c)5.09472(a)4.82123(n)0.345529(i)-5.85194(q)4.54334(u)0.344059(e)-3.02595]TJ /R73 9.96264 Tf q 1 0 0 1 78.72 539.88 Tm )0.671944(6)-499.86(U)3.02669(t)3.3531(i)0.671944(l)0.671944(i)0.671944(s)-3.1377(e)-1.33286(r)-331.129(l)0.671944(e)-338.594(t)3.35237(h)1.3483(�)-1.3336(o)-6.01515(r)-5.91517(�)-1.3336(m)2.02465(e)-326.549(d)1.3483(e)-326.549(K)18.7512(�)-5.33879(n)1.3483(i)0.671944(g)-331.23(r)-5.91517(e)-1.3336(l)0.671944(a)-6.01515(t)3.35237(i)0.671944(f)-320.86(a)-6.01368(u)-323.868(m)2.02318(o)-6.01368(m)2.02318(e)-1.33213(n)25.4368(t)-333.908(c)-1.33213(i)0.673414(n)1.34683(�)-1.33213(t)3.35237(i)0.673414(q)-2.33195(u)]TJ [(2)5.31609]TJ [()5.02855(�)-1.33213(r)-5.91369(e)-1.33213(n)25.4368(t)3.35237(s)-436.758(a)-6.01368(s)-3.1377(p)-22.7432(e)-1.33213(c)-1.33213(t)3.35237(s)-436.758(d)1.34683(u)1.34683]TJ ID 1 g S 1 0 0 1 116.64 643.44 Tm q 4 0 0 -99 767.9 1657.9 cm -258 -11.88 Td BI [(R)3.0583]TJ )4.3718]TJ )0.671944(b)-504.542(A)3.02669(p)1.3483(p)1.3483(l)0.671944(i)0.671944(q)-2.33122(u)1.3483(e)-1.3336(r)-331.13(l)0.671944(e)-338.594(p)1.3483(r)-5.91517(e)-1.3336(m)2.02465(i)0.671944(e)-1.3336(r)-331.13(p)1.3483(r)-5.91517(i)0.671944(n)1.3483(c)-1.3336(i)0.671944(p)-22.7417(e)-326.549(e)-1.3336(n)25.4383(t)3.35237(r)-5.91517(e)-338.594(d)1.34683(e)-1.33213(u)1.34683(x)-327.547(i)0.673414(n)1.34683(s)-3.1377(t)3.35237(a)-6.01368(n)25.4368(t)3.35237(s)-3.1377]TJ [(S)-6.66273]TJ -228.12 -15.36 Td ()Tj [(v)2.19962]TJ EI Q [(\))-334.7(=)-5.92546]TJ /R48 6.97385 Tf [(. [(2)1.16367]TJ [(L)-1.49607(e)-254.278(s)-3.1377(e)-1.33286(c)-1.33286(o)-6.01515(n)1.3483(d)-239.552(p)1.3483(r)-5.91517(o)-6.01515(b)1.3483(l)0.671944(�)-1.3336(m)2.02465(e)-242.234(a)-6.01515(b)-22.7417(o)-6.01515(r)-5.91517(d)1.3483(e)-242.234(l)0.671944(')0.671944(�)-1.3336(t)3.35237(u)1.3483(d)1.3483(e)-254.279(d)1.3483(u)-263.643(m)2.02318(o)-6.01368(t)3.35237(e)-1.33213(u)1.34683(r)-246.814(d)1.34683(e)-254.277(S)1.34683(t)3.35237(i)0.673414(r)-5.91369(l)0.673414(i)0.673414(n)1.34683(g)-6.01368(. [(�)3.27722(d)-4.63565(i)4.3718(t)-1.9098(i)4.3718(o)5.19519(n)-4.63565(s)-344.166(H)-5.74493]TJ [(r)-5.91443(i)0.671944(g)-6.01515(�)-1.33286(e)-230.188(s)-3.1377(u)1.3483(i)0.671944(v)57.8938(a)-6.01515(n)25.4383(t)3.3531]TJ 267 0 Td -3.16688 7.19531 Td ID 8.33333 0 0 8.33333 0 0 cm BT 2295.79 4219.34 2311.56 4203.57 2331.22 4203.57 c /R21 9.96264 Tf 8.33333 0 0 8.33333 0 0 cm BT /R46 9.96264 Tf [(w)2.92107(w)2.92107(w)2.92107(.)2.92107(D)2.92107(o)2.92107(c)2.92107(-)2.92107(S)2.92107(o)2.92107(l)2.92107(u)2.92107(s)2.92107(. q 4 0 0 -108 694.9 3856.9 cm [(I)-0.330826(. 1 0 0 1 339.6 18.48 Tm /R27 9.96264 Tf )-4.34043]TJ [(\()2.55986]TJ )-360.677(C)-0.65577(e)-386.772(p)1.34683(r)-5.91369(o)-6.01368(b)1.34683(l)0.673414(�)-1.33213(m)2.02318(e)-1.33213(,)-384.767(t)3.35237(r)]TJ ID q 423 0 0 -4 1843.9 2694.9 cm CCP 2011. q Q 1 0 0 1 398.16 674.04 Tm 10.56 0 Td 7.44 -1.44 Td [(1)1.16367]TJ /BPC 1 -260.04 -12 Td ET S /R65 9.96264 Tf 3.6 4.44 Td 1564.96 4123.83 l 984.734 4317.66 921.66 4380.73 843 4380.73 c 6.72 TL )0.264661]TJ -242.52 -11.88 Td /IM true [(d)1.3483(�)-1.33286(p)-22.7417(e)-1.33286(n)1.3483(d)-335.912(�)-1.3336(v)-2.33195(i)0.671944(d)1.3483(e)-1.3336(m)2.02465(m)2.02465(e)-1.3336(n)25.4383(t)-321.863(p)1.3483(a)-6.01515(s)-340.398(d)1.3483(u)-323.867(r)-5.91517(�)-1.3336(f)4.35514(�)-1.3336(r)-5.91517(e)-1.3336(n)25.4368(t)3.35237(i)0.673414(e)-1.33213(l)0.673414(. [(L)-1.49607(a)-343.275(v)-2.33122(i)0.671944(t)3.35237(e)-1.3336(s)-3.1377(s)-3.1377(e)-338.594(d)1.3483(e)-350.639(g)-6.01515(l)0.671944(i)0.671944(s)-3.1377(s)-3.1377(e)-1.3336(m)2.02465(e)-1.3336(n)25.4383(t)-333.908(�)-1.3336(t)3.35237(a)-6.01515(n)25.4383(t)-345.953(u)1.3483(n)1.3483(e)-350.637(v)-2.33195(i)0.673414(t)3.35237(e)-1.33213(s)-3.1377(s)-3.1377(e)-338.592(r)-5.91369(e)-1.33213(l)0.673414(a)-6.01368(t)3.35237(i)0.673414(v)21.758(e)-338.592(e)-1.33213(n)25.4368(t)3.35237(r)-5.91369(e)-338.592(d)1.34683(e)]TJ /R21 9.96264 Tf [(p)1.3483(a)-6.01515(r)-282.949(B)-2.49516(e)-1.33286(n)1.3483(o)-6.01515(�)0.671944(t)-273.682(L)-1.49607(o)-6.01515(b)1.3483(r)-5.91517(y)-267.322(\()3.35237(P)5.86664(r)-5.91517(o)-6.01515(f)4.35514(e)-1.3336(s)-3.1377(s)-3.1377(e)-1.3336(u)1.3483(r)-270.905(e)-1.3336(n)-287.732(C)-0.657241(P)5.86664(G)1.60267(E)5.86664(\))-285.728(e)-1.3336(t)-285.728(J)-4.17282(e)-1.33213(a)-6.01368(n)1.34683(-)-4.01108(J)-4.17282(u)1.34683(l)0.673414(i)0.673414(e)-1.33213(n)-263.643(F)2.18786(l)0.673414(e)-1.33213(c)22.7579(k)-279.367(\()]TJ
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