[(u)1.34683(n)-360.003(p)-22.7432(o)-6.01368(i)0.673414(n)25.4368(t)3.35237]TJ /R48 6.97385 Tf [(e)-4.12871]TJ 2472.96 4522.47 m /R19 9.96264 Tf /R46 9.96264 Tf /R19 9.96264 Tf [(d)1.3483(')0.671944(o)-6.01515(�)1.3483]TJ /R19 9.96264 Tf [(1)1.16367]TJ [(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 [(=)-5.92546]TJ [(l)0.671944(a)-343.275(c)22.7571(h)1.3483(a)-6.01515(l)0.671944(e)-1.33286(u)1.3483(r)-343.175(d)1.3483(i)0.671944(s)-3.1377(s)-3.1377(i)0.671944(p)-22.7417(�)-1.3336(e)-1.3336(,)-336.588(a)-6.01515(p)1.3483(p)1.3483(l)0.671944(i)0.671944(q)-2.33195(u)1.3483(e)-1.3336(r)-343.175(l)0.671944(e)-350.639(p)1.3483(r)-5.91517(e)-1.3336(m)2.02318(i)0.673414(e)-1.33213(r)-343.174(p)1.34683(r)-5.91369(i)0.673414(n)1.34683(c)-1.33213(i)0.673414(p)-22.7432(e)-350.637(d)1.34683(e)-338.592(l)0.673414(a)-355.319(t)3.35237(h)1.34683(e)]TJ [(m)2.02318(e)-1.33213(n)25.4368(t)3.35237(,)-312.497(l)0.673414(a)-319.184(v)-2.33195(i)0.673414(t)3.35237(e)-1.33213(s)-3.1377(s)-3.1377(e)-314.502(d)1.34683(e)-1.33213]TJ )0.264661]TJ /R46 9.96264 Tf [(O)-3.6252]TJ /W 1 1 0 0 1 292.189 590.262 Tm 2827.3 4380.73 m <> -261.48 -12 Td q [(�)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 143.64 4.8 Td /R21 9.96264 Tf /R46 9.96264 Tf endobj f 6.72 1.44 Td [( )777(! ()Tj Corrigé réalisé par M. Afekir, professeur de Physique en classe MP à l'École Royale de l'Air - CPGE Marrakech : ... Concours 2011. /H 1 /R9 gs [( )777(! 264.24 0 Td /W 1 EI Q 0 0 1 rg 7.32 TL [(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 CCP Maths 1 MP 2011 Corrigé, Concours Communs Polytechniques (CCP), Concours Mathématiques MP, AlloSchool [(. T*[(2)1.16367]TJ [(1)-6.01515(,)-348.633(s)-3.1377(i)0.671944(t)3.35237(u)1.3483(�)-362.684(a)-6.01368(u)-347.958(v)21.758(o)-6.01368(i)0.673414(s)-3.1377(i)0.673414(n)1.34683(a)-6.01368(g)-6.01368(e)-338.592(i)0.673414(m)2.02318(m)2.02318(�)-1.33213(d)1.34683(i)0.673414(a)-6.01368(t)-345.953(d)1.34683(e)-1.33213]TJ /BPC 1 [(n)25.4368(u)1.34683(m)2.02318(�)-1.33213(r)-5.91369(o)-6.01368(t)3.35237(�)-1.33213(e)-1.33213(s)-3.1377(. )-4.34043]TJ /R83 6.97385 Tf [(u)-444.318(n)1.34683]TJ BI 3382.73 4241.16 3364.02 4247.63 3351.07 4255.19 c [(X)3.21122]TJ [(2)1.16367]TJ 3252.5 4947.68 m -24.12 -15.36 Td ET EMY Amérique du nord 2019 maths corrigé s’informatique, d’une telle sorte qu’elle est … CCP Maths 2 PSI 2011 Corrigé Publié dans les Annales des Concours. EI Q /R48 6.97385 Tf /R46 9.96264 Tf [(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 f -231.36 -11.88 Td q 2216.19 4368.12 2243.53 4377.58 2260.36 4380.73 c 8.33333 0 0 8.33333 0 0 cm BT [(s)-3.1377(i)0.671944(o)-6.01515(n)-372.047(d)1.3483(')0.671944(u)1.3483(n)-384.092(c)-1.3336(o)-6.01515(u)1.3483(p)1.3483(l)0.671944(e)-374.729(p)1.3483(a)-6.01515(r)-379.31(v)-2.33195(i)0.671944(s)-3.1377(c)-1.3336(o)-6.01515(s)-3.1377(i)0.671944(t)3.35237(�)-1.3336(. [(I)-24.4208(I)-0.330826(.)0.671944(4)-511.905(U)3.02669(t)3.3531(i)0.671944(l)0.671944(i)0.671944(s)-3.1377(e)-1.33286(r)-355.219(l)0.671944(e)-1.3336(s)-352.443(r)-5.91517(�)-1.3336(s)-3.1377(u)1.3483(l)0.671944(t)3.35237(a)-6.01515(t)3.35237(s)-352.443(o)-6.01515(b)1.3483(t)3.35237(e)-1.3336(n)25.4383(u)1.3483(s)-352.443(�)-355.32(l)0.671944(a)-355.32(q)-2.33195(u)1.3483(e)-1.33213(s)-3.1377(t)3.35237(i)0.673414(o)-6.01368(n)-347.958(I)-0.329355(. 6.96 1.44 Td 4.8 TL [(L)-1.49607(e)-302.458(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)-297.773(d)1.3483(e)-314.504(S)-299.777(s)-3.1377(')0.671944(e)-1.3336()5.02708(e)-1.3336(c)-1.3336(t)3.35237(u)1.3483(e)-1.3336]TJ Merci. q [(I)-0.330826(. [(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 Section MP. /R83 6.97385 Tf /R63 11.9552 Tf 266.28 0 Td /R65 9.96264 Tf 5.04 0 Td 111.36 1.44 Td 153.6 -9.24 Td [(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 /R27 9.96264 Tf 268.2 0 Td /R19 9.96264 Tf Q /R69 9.96264 Tf /W 1 /R48 6.97385 Tf [(a)-6.01515(i)0.671944(n)1.3483(s)-3.1377(i)-324.543(q)-2.33122(u)1.3483(e)-338.594(l)0.671944(e)-326.549(r)-5.91517(a)18.0749(y)21.758(o)-6.01515(n)1.3483(n)1.3483(e)-1.3336(m)2.02465(e)-1.3336(n)25.4383(t)-309.818(t)3.35237(h)1.3483(e)-1.3336(r)-5.91517(m)2.02465(i)0.671944(q)-2.33195(u)1.3483(e)-1.3336(. /W 1 7.44 -1.44 Td [(\()3.35237(t)3.35237(r)-5.91369(a)-6.01368(n)1.34683(s)-3.1377(l)0.673414(a)-6.01368(t)3.35237(i)0.673414(o)-6.01368(n)1.34683(\))3.35237]TJ T*[(! Q ET [(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 /R29 8.96638 Tf 2118.62 4239 m 270.12 0 Td 764.34 4380.73 701.266 4317.66 701.266 4239 c 984.734 4317.66 921.66 4380.73 843 4380.73 c Q [(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 6.6 0 Td /H 1 )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 3.36 -0.96 Td 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). 1 0 0 1 234.735 506.466 Tm 5.04 0 Td 7.44 3.6 Td [(y)-3.56704]TJ )0.673414]TJ f Section MP. Enoncé / Corrigé CCP 2012. [(m)2.02318(�)-1.33213(t)3.35237(r)-5.91369(e)-1.33213(s)-388.578(t)3.35237(e)-1.33213(c)22.7579(h)1.34683(n)1.34683(i)0.673414(q)-2.33195(u)1.34683(e)-1.33213(s)-3.1377]TJ ET /H 1 )-300.452(N)3.02595(o)-6.01368(t)3.35237(o)-6.01368(n)1.34683(s)-3.1377]TJ )0.264661]TJ -268.92 -12 Td EI Q 16.8 2.52 Td [(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 /R14 7.97011 Tf 1 0 0 1 104.22 552.397 Tm h [(I)-3.75426]TJ ID q [(E)5.86664(n)-323.867(a)-6.01515(d)1.3483(o)-6.01515(p)1.3483(t)3.35237(a)-6.01515(n)25.4383(t)-297.773(u)1.3483(n)1.3483(e)-326.549(n)1.3483(o)-6.01515(t)3.35237(a)-6.01515(t)3.35237(i)0.671944(o)-6.01515(n)-299.777(a)-6.01515(n)1.3483(a)-6.01515(l)0.671944(o)-6.01515(g)-6.01515(u)1.3483(e)-302.459(�)-319.184(c)-1.33213(e)-1.33213(l)0.673414(l)0.673414(e)-314.502(u)1.34683(t)3.35237(i)0.673414(l)0.673414(i)0.673414(s)-3.1377(�)-1.33213(e)-314.502(p)1.34683(r)-5.91369(�)-1.33213(c)-1.33213(�)-1.33213(d)1.34683(e)-1.33213(m)]TJ 5.04 0 Td 8.33333 0 0 8.33333 0 0 cm BT /R21 9.96264 Tf SVE stratégique AMSED 2018/2019 France.Maroc.Tunisie. /IM true -228.12 -15.36 Td centrale pc 2014 physique 1 corrigé . /R46 9.96264 Tf [(^)3.5244]TJ /W 1 /IM true /R69 9.96264 Tf /W 1 )-4.34043]TJ q Q ()Tj /R48 6.97385 Tf EI Q [(e)-1.33213(t)3.35237]TJ [( )777(! [(1)1.60477]TJ 10.56 0 Td S ET /R21 9.96264 Tf ID [(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 [(&)-1.90592]TJ /R27 9.96264 Tf [(P)-6.01074]TJ /R81 5.97758 Tf -27.96 -15.36 Td EI Q /H 1 189.96 0 Td /IM true /R27 9.96264 Tf T*[(N)3.21122]TJ [(2)8.86123]TJ 3110.77 4805.94 m 4.44 6.24 Td /IM true h 2.4 -4.8 Td )0.264661]TJ 6.72 TL q 3.6 -1.44 Td [(S)-6.66273]TJ /H 1 843 4239 m /R19 9.96264 Tf 7.8 0 Td [(1)1.16367]TJ )0.671944(8)-499.86(P)5.86664(r)-5.91443(o)-30.1051(c)-1.33286(�)-1.33286(d)1.3483(e)-1.33286(r)-331.13(p)1.3483(a)-6.01515(r)-319.085(�)-1.3336(l)0.671944(i)0.671944(m)2.02465(i)0.671944(n)1.3483(a)-6.01515(t)3.35237(i)0.671944(o)-6.01515(n)-335.912(e)-1.3336(n)-323.867(u)1.3483(t)3.35237(i)0.671944(l)0.671944(i)0.671944(s)-3.1377(a)-6.01515(n)25.4383(t)-333.908(l)0.673414(e)-1.33213(s)-328.353(s)-3.1377(i)0.673414(x)-339.592(�)-1.33213(q)-2.33195(u)1.34683(a)-6.01368(t)3.35237(i)0.673414(o)-6.01368(n)1.34683(s)]TJ 1989.5 4761.77 1980.04 4789.12 1976.88 4805.94 c /R19 9.96264 Tf /BPC 1 /R19 9.96264 Tf [(X)-273.825(=)-5.92546]TJ Q [( )777(! 265.32 0 Td 3252.5 4317.66 3189.43 4380.73 3110.77 4380.73 c 2295.79 4219.34 2311.56 4203.57 2331.22 4203.57 c 259.2 0 Td [(\()2.55986]TJ -2.64 -0.24 Td /H 1 -2.4 -2.52 Td 4.56 -3.6 Td Physique résumé du cours en fiches MPSI-MP. /R17 9.96264 Tf /R21 9.96264 Tf 5.04 0 Td [( )777.776(! corrigé… )-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 /R73 9.96264 Tf Sujet de Concours (avec corrigé) pour les classes prépa MP, PC, PSI, TSI, BCPST, HEC 243.84 0 Td )-4.34043]TJ /R10 8.96638 Tf [(. ID 1976.88 4068.92 m 764.34 4380.73 701.266 4317.66 701.266 4239 c 3.6 1.44 Td )0.671944(a)-499.86(D)4.86387(�)-1.33286(c)-1.33286(o)-6.01515(m)2.02392(p)-22.7417(o)-6.01515(s)-3.1377(e)-1.3336(r)-270.905(l)0.671944(e)-266.324(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)-258.86(e)-1.3336(n)-275.687(t)3.35237(r)-5.91517(a)-6.01515(n)1.3483(c)22.7564(h)1.34683(e)-1.33213(s)-256.083(d)1.34683(')0.673414(�)-1.33213(p)1.34683(a)-6.01368(i)0.673414(s)-3.1377(s)-3.1377(e)-1.33213(u)1.34683(r)]TJ
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