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sujet concours cpge par thème physique

1 0 0 1 239.16 228.6 Tm [(p)1.3483(a)-6.01515(r)-367.264(l)0.671944(e)-362.683(m)2.02392(�)-1.33286(t)3.3531(a)-6.01515(b)-22.7417(o)-6.01515(l)0.671944(i)0.671944(s)-3.1377(m)2.02465(e)-362.684(c)-1.3336(o)-6.01515(m)2.02465(p)-22.7417(e)-1.3336(n)1.3483(s)-3.1377(e)-362.684(e)-1.3336(x)-2.33195(a)-6.01515(c)-1.3336(t)3.35237(e)-1.3336(m)2.02465(e)-1.33213(n)25.4368(t)-357.998(l)0.673414(e)-1.33213(s)-364.488(p)-22.7432(e)-1.33213(r)-5.91369(t)3.35237(e)-1.33213(s)-364.488(�)-1.33213(n)1.34683(e)-1.33213(r)-5.91369(g)-6.01368(�)-1.33213(t)3.35237(i)]TJ ID Q q EI Q endstream /R21 9.96264 Tf /IM true 4.8 0 Td /H 1 /R12 8.96638 Tf 9 -14.04 Td 6.6 1.44 Td 7.8 -3.6 Td 269.4 0 Td [(c)-1.33286(o)-6.01515(n)1.3483(s)-3.1377(�)-1.33286(q)-2.33122(u)1.3483(e)-1.3336(n)1.3483(c)-1.3336(e)-326.549(d)1.3483(e)-338.594(c)-1.3336(e)-1.3336(s)-328.353(p)1.3483(r)-5.91517(o)-6.01515(p)1.3483(r)-5.91517(i)0.671944(�)-1.3336(t)3.35237(�)-1.3336(s)-328.353(t)3.35237(h)1.3483(e)-1.3336(r)-5.91517(m)2.02318(i)0.673414(q)-2.33195(u)1.34683(e)-1.33213(s)-328.353(�)-343.274(t)3.35237(r)-5.91369(a)18.0763(v)21.758(e)-1.33213(r)-5.91369(s)-316.308(l)0.673414(a)-331.229(d)1.34683(i)0.673414(s)-3.1377(p)-22.7432(o)]TJ W n 8.88 0 Td 8.33333 0 0 8.33333 0 0 cm BT /R44 6.97385 Tf /R73 9.96264 Tf [(\))-274.475(=)-5.92546]TJ 7.8 0 Td /IM true 278.88 0 Td 3.84 0 Td 1 0 0 1 222.6 77.76 Tm /R19 9.96264 Tf Q EI Q /R46 10.9108 Tf [(1)-499.86(R)1.18436(e)-1.33286(t)3.3531(r)-5.91443(o)-6.01515(u)1.3483(v)21.7588(e)-1.33286(r)-343.174(l)0.671944(a)-355.32(d)1.3483(i)0.671944(m)2.02465(e)-1.3336(n)1.3483(s)-3.1377(i)0.671944(o)-6.01515(n)-360.002(d)1.3483(e)-362.684(l)0.671944(a)-355.32(c)-1.3336(o)-6.01515(n)1.3483(d)1.3483(u)1.3483(c)-1.3336(t)3.35237(i)0.671944(v)-2.33195(i)0.673414(t)3.35237(�)-362.682(e)-1.33213(n)-360.003(r)-5.91369(�)-1.33213(a)-6.01368(l)0.673414(i)0.673414(s)-3.1377(a)-6.01368(n)25.4368(t)-333.908(u)1.34683(n)1.34683(e)]TJ 45 rue d’Ulm F-75230 Paris cedex 05 Tél. BI /R21 9.96264 Tf [(z)-4.75537]TJ -200.76 -21 Td [(')3.56998]TJ /R46 9.96264 Tf ET -247.56 -12 Td ID S [(Z)0.930723]TJ ET /W 1 BI -273.48 -12 Td 15.48 0 Td Q 1 0 0 1 330.12 18.48 Tm 31 0 obj [(z)-52.9351(;t)-0.34994]TJ q 105 0 0 -4 436.9 472.9 cm 35 0 obj 2162.38 5357.65 l ID [(\()2.55893]TJ 2196.87 5298.43 l 9.12 7.32 Td /R19 9.96264 Tf /R21 9.96264 Tf École normale supérieure - PSL. EI Q 1 0 0 1 197.88 643.44 Tm 21.12 0 Td Q 251.04 0 Td EI Q 0 0 0 RG /R19 9.96264 Tf Q <> /R21 9.96264 Tf [(i)0.673414(t)3.35237(. [(L)-1.49607(e)-1.33286(s)-340.398(d)1.3483(e)-1.33286(u)1.3483(x)-327.546(d)1.3483(e)-1.33286(r)-5.91443(n)1.3483(i)0.671944(�)-1.3336(r)-5.91517(e)-1.3336(s)-328.353(p)1.3483(a)-6.01515(r)-5.91517(t)3.35237(i)0.671944(e)-1.3336(s)-316.308(c)-1.3336(o)-6.01515(n)1.3483(s)-3.1377(t)3.35237(i)0.671944(t)3.35237(u)1.3483(e)-1.3336(n)25.4383(t)-333.908(l)0.671944(')0.671944(�)-1.3336(t)3.35237(u)1.34683(d)1.34683(e)-338.592(c)22.7579(h)1.34683(i)0.673414(m)2.02318(i)0.673414(q)-2.33195(u)1.34683(e)-1.33213(. [()4.84035(a)-1.97907]TJ 17.04 0 Td Or, ces sujets authentiques disparaissent vite: les écoles corrigent les erreurs d'énoncé avant d'en mettre le texte en ligne. /R21 9.96264 Tf 277.08 0 Td 2179.63 5288.66 l 5.04 3.72 Td S T*[(|)-1.43946]TJ 5.76 -1.44 Td /R10 8.96638 Tf <> 3.84 0 Td [(1)-5.89017]TJ <>endobj /R21 9.96264 Tf 4.8 TL 5.64 -3.6 Td 1351.81 5340.4 m 54 0 obj 9.84 0 Td 57 0 R Les étudiants optent pour un des thèmes définis pour leur filière et choisissent définitivement un sujet se rapportant à ce thème, en accord avec leurs professeurs : le libre choix des étudiants doit être éclairé par une présentation simultanée des différents thèmes par les professeurs de la classe. 1 0 0 1 67.2 595.92 Tm /IM true 0 0 1 rg EI Q ID 8.33333 0 0 8.33333 0 0 cm BT endstream /R19 9.96264 Tf [(c)-1.62031()-0.249957]TJ ID /IM true [(2)1.16367]TJ q 3048 0 0 -4 530.9 5587.9 cm )-420.902(L)-1.4968(e)-1.33213(s)-400.623(q)-2.33195(u)1.34683(e)-1.33213(s)-3.1377(t)3.35237(i)0.673414(o)-6.01368(n)1.34683(s)-412.668(d)1.34683(e)-410.862(c)22.7579(h)1.34683(i)]TJ /OpenAction [4 0 R /Fit] [(\))2.56133]TJ /R52 6.97385 Tf x�]�A� E��bn@��]æn�����E�P���j�q��|�����p���o)�e�ΛDKX�&ir� �t��z�YE�����W$�dwU3��z%�����4%�'b]���Z�ț�'���I! 8.33333 0 0 8.33333 0 0 cm BT /W 1 [(d)1.3483(i)0.671944()5.02782(�)-1.33286(r)-5.91443(e)-1.33286(n)25.4383(t)3.3531(i)0.671944(e)-1.33286(l)0.671944(l)0.671944(e)-338.594(d)1.3483(u)1.3483]TJ [(2)1.16367]TJ [(t)-0.34994]TJ /R21 9.96264 Tf T*[(|)-1.43923]TJ )0.264661]TJ )0.264661]TJ 2896 4118 l 2.76 4.8 Td [(Q)-0.793982]TJ -291.12 -12 Td 8.33333 0 0 8.33333 0 0 cm BT 9.96 0 Td [(e)-1.3336(s)-3.1377(t)3.35237]TJ 4.68 -1.44 Td -253.44 -12 Td [(e)-1.3336(s)-3.1377(t)3.35237]TJ /IM true c'est une plateforme documentaire des sciences physiques, des mathématiques, des scieces industrielles et de l'informatique pour la préparation aux concours national commun q [(z)0.929253]TJ ()Tj [(. )-336.588(N)3.02595(o)-6.01515(t)3.35237(e)-1.3336(r)-331.13(q)-2.33195(u)1.3483(e)-1.3336]TJ /BPC 1 q [(n)1.34683(i)0.673414(t)3.35237(i)0.673414(o)-6.01368(n)1.34683(s)-424.713(d)1.34683(u)1.34683]TJ /R21 9.96264 Tf 1 0 0 1 80.64 277.56 Tm [()4.84035]TJ 281.88 0 Td /W 1 9.36 1.44 Td 272.88 0 Td 1 0 0 1 254.88 222.12 Tm 210 0 Td <> ET 2231.36 4512.59 m 9.96 0 Td 285.96 0 Td 2162.38 4384.39 m -52.3059 20.633 Td [(o)-30.1037(c)-1.33213(i)0.673414(n)1.34683(�)-1.33213(t)3.35237(i)0.673414(q)-2.33195(u)1.34683(e)-1.33213(. /R19 9.96264 Tf )0.673414]TJ [(t)-0.34994]TJ EI Q /R52 6.97385 Tf [()1.25567]TJ -237.24 -19.92 Td 266.52 0 Td )0.671944]TJ [(. /R27 9.96264 Tf /R19 9.96264 Tf T*[(d)0.929253(S)0.929253]TJ 7.44 TL 1 0 0 1 318.84 18.48 Tm 15.6 0 Td [(Q)-282.96(=)-270.915(L)-1.33948(H)3.20975]TJ -291.24 -12 Td /IM true 276.24 0 Td )-348.632(O)-5.34026(n)-384.093(s)]TJ Q Dans cette session sont regroupées les annales des concours des écoles d’ingénieurs post-prépa les plus connues et présentés par les élèves. 1334.56 5409.39 l ET 3.84 0 Td 11.04 4.8 Td ET -167.52 -14.76 Td [(C)-0.657241(e)-314.503(s)-3.1377(u)1.3483(j)4.35514(e)-1.33286(t)3.3531(,)-312.498(d)1.3483(e)-302.459(d)1.3483(i)0.671944()2.02465(c)-1.3336(u)1.3483(l)0.671944(t)3.35237(�)-326.549(m)2.02465(o)-30.1051(d)1.3483(�)-1.3336(r)-5.91517(�)-1.3336(e)-1.3336(,)-300.453(e)-1.3336(s)-3.1377(t)-297.773(t)3.35237(r)-5.91517(�)-1.3336(s)-304.263(e)-1.33213()2.02318(c)-1.33213(a)-6.01368(c)-1.33213(e)-302.457(p)-22.7432(o)-6.01368(u)1.34683(r)-307.039(r)-5.91369(�)-1.33213(v)-2.33195(i)0.673414(s)-3.1377(e)-1.33213(r)-294.994(d)]TJ /R9 gs Il comporte également des fiches et des corrigés personnels de sujets de bac et de concours de Classes Préparatoires aux Grandes Ecoles. [(e)-4.75507]TJ (@)Tj 5.88 0 Td ()Tj [(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)-4.60052(t)-338.266(s)5.76699(u)-4.60052(r)3.03216]TJ /R46 9.96264 Tf /R19 9.96264 Tf <> 17.28 6.72 Td 4.8 0 Td /R67 9.96264 Tf /R21 9.96264 Tf [(@)-60.225(j)1.47034]TJ 2231.36 5211.05 m 1 0 0 1 217.08 235.44 Tm Ce thème, renouvelé annuellement, est fixé par arrêté du ministre de l'éducation nationale, de la recherche et de la technologie. BI 1.08 -45.36 Td BI 6.72 1.44 Td BI Q /R21 9.96264 Tf <> 270.36 0 Td BI q /IM true 12.36 0 Td 1016 5445 l BI )0.671944]TJ Q <> [( )668.595(! /H 1 >> [(e)-1.33213(n)-335.913(r)-5.91369(�)-1.33213(g)-6.01368(i)0.673414(m)2.02318(e)-326.547(s)-3.1377(t)3.35237(a)-6.01368(t)3.35237(i)0.673414(o)-6.01368(n)1.34683(n)1.34683(a)-6.01368(i)0.673414(r)-5.91369(e)-169.962(:)0.673414]TJ 39 0 obj 4.8 TL 5.64 0 Td [( )668.606(! Base de données des concours. Trouvez toute l'information sur les classes prepas au Maroc ainsi que le calendrier des inscriptions...CPGE.ma I Le guide des classes prépas CPGE au Maroc. 6.36 0 Td ID endobj q ID En cas de surchauffe il faut évacuer ! 81.12 0 Td /R19 9.96264 Tf )0.673414]TJ 3.84 -1.44 Td /Annots[16 0 R 3.84 -1.44 Td -262.32 -11.88 Td 1 0 0 1 205.08 359.88 Tm )0.671944]TJ )0.264661]TJ 8.33333 0 0 8.33333 0 0 cm BT /BPC 1 Le thème de culture générale retenu pour les ... A quels concours prépare la CPGE ECE ? 7.44 TL /R46 9.96264 Tf /R69 9.96264 Tf [(d)1.3483(�)-1.33286(v)21.7588(e)-1.33286(l)0.671944(o)-6.01515(p)1.3483(p)-22.7417(e)-326.548(d)1.3483(i)0.671944()5.02708(�)-1.3336(r)-5.91517(e)-1.3336(n)25.4383(t)3.35237(s)-328.353(m)2.02465(o)-30.1051(d)1.3483(�)-1.3336(l)0.671944(e)-1.3336(s)-316.308(a)-6.01515()1.3483(n)-323.867(d)1.3483(e)-326.549(c)-1.3336(o)-6.01515(m)2.02465(p)1.34683(r)-5.91369(e)-1.33213(n)1.34683(d)1.34683(r)-5.91369(e)-314.502(c)-1.33213(e)-1.33213(r)-5.91369(t)3.35237(a)-6.01368(i)0.673414(n)1.34683(s)-316.308(p)1.34683(h)1.34683(�)]TJ [(e)-1.33213(n)-287.733(r)-5.91369(a)-6.01368(p)1.34683(p)-22.7432(o)-6.01368(r)-5.91369(t)-273.683(a)18.0763(v)21.758(e)-1.33213(c)-1.33213]TJ q /Subtype/Link>>endobj /R21 9.96264 Tf [(W)-225.679(+)-5.92546]TJ 0 0 0 RG BI [(K)-3657.62(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)-344.167(l)4.3718(e)2.02906(s)3.8]TJ Les sujets de maths en filière PC (physique-chimie) Sujet concours écoles d'ingénieurs spécialité PC publié par FigaroEtudiant Les sujets de maths en filière MP (mathématiques physique) <> 8.33333 0 0 8.33333 0 0 cm BT ID 2731.5 4513.73 l Thème 2 : Constitution et transformation de la matière. ID /H 1 11.28 0 Td -285.72 -12 Td /R27 9.96264 Tf [(])-277.035(=)-5.92546]TJ 71.28 -16.68 Td /R46 9.96264 Tf 122 0 obj [()-1.66516]TJ [(1)-5.89017]TJ [(e)-1.33213(. ET [(C)-0.657241(e)-254.278(s)-3.1377(u)1.3483(j)4.35514(e)-1.33286(t)-249.592(d)1.3483(e)-242.234(p)1.3483(h)25.4383(y)-2.33195(s)-3.1377(i)0.671944(q)-2.33195(u)1.3483(e)-1.3336(-)-4.00961(c)22.7564(h)1.3483(i)0.671944(m)2.02465(i)0.671944(e)-1.3336(,)-240.228(q)-2.33195(u)1.3483(i)-252.273(a)-246.915(p)-22.7417(o)-6.01515(u)1.3483(r)-246.814(t)3.35237(h)1.34683(�)-1.33213(m)2.02318(e)-254.277(l)0.673414(e)-254.277(m)2.02318(o)-6.01368(u)1.34683(t)3.35237(o)-6.01368(n)1.34683(,)-240.227(c)-1.33213(o)-6.01368(m)2.02318(p)]TJ [(e)-483.132(d)1.34683(')0.673414(u)1.34683(n)-480.453(m)2.02318(o)-6.01368(u)1.34683(t)3.35237(o)-6.01368(n)1.34683(. [(T)-0.69988]TJ 134.52 0 Td /R21 9.96264 Tf [(x)4.88446]TJ 1515.65 5134.6 m 0.6 -4.68 Td 6.24 0 Td [(E)5.86664(n)-335.912(r)-5.91443(�)-1.33286(g)-6.01515(i)0.671944(m)2.02392(e)-326.548(s)-3.1377(t)3.35237(a)-6.01515(t)3.35237(i)0.671944(o)-6.01515(n)1.3483(n)1.3483(a)-6.01515(i)0.671944(r)-5.91517(e)-1.3336(,)-312.498(c)-1.3336(e)-1.3336(t)3.35237(t)3.35237(e)-338.594(�)-1.3336(q)-2.33195(u)1.3483(a)-6.01515(t)3.35237(i)0.671944(o)-6.01515(n)-323.867(d)1.3483(i)0.673414()5.02855(�)-1.33213(r)-5.91369(e)-1.33213(n)25.4368(t)3.35237(i)0.673414(e)-1.33213(l)0.673414(l)0.673414(e)-326.547(d)1.34683(e)-1.33213(v)-2.33195(i)]TJ 8.33333 0 0 8.33333 0 0 cm BT [(s)-3.1377(u)1.3483(d)1.3483(a)-6.01515(t)3.3531(i)0.671944(o)-6.01515(n)1.3483(\))-622.987(e)-1.3336(t)-635.033(d)1.3483(�)-1.3336(d)1.3483(u)1.3483(i)0.671944(r)-5.91517(e)-639.719(l)0.671944(e)-627.674(s)-3.1377(i)0.671944(g)-6.01515(n)1.3483(e)-627.674(d)1.3483(e)-639.719(c)22.7564(h)1.3483(a)-6.01368(q)-2.33195(u)1.34683(e)-627.672(p)1.34683(u)1.34683(i)0.673414(s)-3.1377(s)-3.1377(a)-6.01368(n)1.34683(c)-1.33213(e)-615.627(e)-1.33213(n)-637.038(d)1.34683(�)-1.33213(t)3.35237(e)-1.33213(r)-5.91369(m)2.02318(i)]TJ 263.4 0 Td 0 0 0 1 k h )0.264661]TJ [(\r)-3.51656]TJ /R21 9.96264 Tf 1016 4118 1880 1327 re W n q 888 0 0 -4 1516.9 2556.9 cm Ici se trouvent les sujets de concours de l'année 2020 de la filière MP. ET /R21 9.96264 Tf 2231.36 4512.59 l ID /H 1 /IM true /IM true /R21 9.96264 Tf [(. EI Q /H 1 PHYSIQUE Filière PSI Concours Centrale-Supélec 2010 3/16 que photosensible. 266.28 0 Td 1515.65 5108.73 l BI BI S [(K)-3657.62(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)-344.167(l)4.3718(e)2.02906(s)3.8]TJ 1 0 0 1 79.32 595.92 Tm [(c)-1.33286(o)-6.01515(n)1.3483(s)-3.1377(t)3.3531(a)-6.01515(n)25.4383(t)3.3531(s)-328.353(q)-2.33195(u)1.3483(e)-326.549(l)0.671944(')0.671944(o)-6.01515(n)-323.867(p)-22.7417(e)-1.3336(u)1.3483(t)-345.953(r)-5.91517(�)-1.3336(s)-3.1377(o)-6.01515(u)1.3483(d)1.3483(r)-5.91517(e)-1.3336(. [(=)-5.89017]TJ /R21 9.96264 Tf /R21 9.96264 Tf EI Q 26.04 0 Td [()4.84035]TJ 15.48 0 Td [( )777(! ET [(])-289.08(=)-282.96(M)0.579313(L)-326.554()-5.92546]TJ [(3)-6.01515(5)-487.815(U)3.02669(t)3.3531(i)0.671944(l)0.671944(i)0.671944(s)-3.1377(e)-1.33286(r)-343.174(l)0.671944(a)-331.23(l)0.671944(o)-6.01515(i)-324.543(d)1.3483(')0.671944(A)3.02595(r)-5.91517(r)-5.91517(h)1.3483(e)-1.3336(n)1.3483(i)0.671944(u)1.3483(s)-3.1377(. 4.56 1.44 Td 0 0 0 1 k 5.88 0 Td q 4 0 0 -104 537.9 468.9 cm BI Q 1 0 0 1 80.4 189 Tm <>endobj 45 rue d’Ulm F-75230 Paris cedex 05 Tél. /R46 9.96264 Tf 2.76 0 Td 200.4 0 Td -2.64 -0.24 Td [(t)-0.34994]TJ /R46 9.96264 Tf /Subtype/Link>>endobj /R19 9.96264 Tf /R21 9.96264 Tf ID [(d)0.930723]TJ [(z)-52.9351(;t)-0.34994]TJ /R21 9.96264 Tf /R19 9.96264 Tf BI [(E)5.86664(n)-576.812(s)-3.1377(u)1.3483(b)1.3483(s)-3.1377(t)3.3531(i)0.671944(t)3.3531(u)1.3483(a)-6.01515(n)25.4383(t)-574.807(c)-1.3336(e)-1.3336(s)-581.298(d)1.3483(e)-1.3336(u)1.3483(x)-568.447(d)1.3483(e)-1.3336(r)-5.91517(n)1.3483(i)0.671944(�)-1.3336(r)-5.91517(e)-1.3336(s)-569.253(e)-1.3336(x)-2.33195(p)1.3483(r)-5.91517(e)-1.3336(s)-3.1377(s)-3.1377(i)0.673414(o)-6.01368(n)1.34683(s)-557.208(d)1.34683(a)-6.01368(n)1.34683(s)-569.253(l)0.673414(e)-1.33213]TJ /R73 9.96264 Tf /R46 9.96264 Tf 6 -11.04 Td 4.56 -3.6 Td 255.48 0 Td 60 0 obj Accueil; annales-concours-epl-2016.pdf; annales-concours-epl-2016.pd Sciences Po Grenoble, Institut d'études politiques de Grenoble, 1030 av. [(z)-52.9351(;t)-0.34994]TJ [( )777(! Q /R19 9.96264 Tf Je mettrai chaque sujet peu de temps après la fin de l'épreuve associée. 3.84 0 Td -251.28 -11.88 Td [(�)-331.23(l)0.671944(a)-331.23(c)-1.33286(o)-6.01515(n)1.3483(c)-1.33286(e)-1.33286(n)25.4383(t)3.35237(r)-5.91517(a)-6.01515(t)3.35237(i)0.671944(o)-6.01515(n)-311.822(C)-0.657241(. [(p)-22.7417(o)-6.01515(u)1.3483(r)-331.13(c)-1.3336(o)-6.01515(n)1.3483(n)1.3483(a)-6.01368(�)0.673414(t)3.35237(r)-5.91369(e)-326.547(l)0.673414(')0.673414(�)-1.33213(v)21.758(o)-6.01368(l)0.673414(u)1.34683(t)3.35237(i)0.673414(o)-6.01368(n)-311.823(d)1.34683(u)-335.913(s)-3.1377(y)-2.33195(s)-3.1377(t)3.35237(�)-1.33213(m)2.02318(e)-1.33213(. [()-5.89017]TJ ET [(a)18.0749(v)21.7588(e)-1.33286(c)-1.33286]TJ q /R46 9.96264 Tf 8.33333 0 0 8.33333 0 0 cm BT Q EI Q /R27 9.96264 Tf [( )-2.77264]TJ Le Concours commun INP. 5.88 3.72 Td 7.8 0 Td /H 1 /BPC 1 1334.56 4177.43 m -251.04 -12 Td 4.8 TL q 4 0 0 -237 672.9 2075.9 cm 5.52 0 Td q /R10 8.96638 Tf [(\))-334.699(d)0.929253]TJ /IM true [(O)-5.33879(n)-323.867(r)-5.91443(e)-1.33286(t)3.3531(r)-5.91443(o)-6.01515(u)1.3483(v)21.758(e)-314.504(u)1.3483(n)1.3483(e)-338.594(�)-1.3336(q)-2.33195(u)1.3483(a)-6.01515(t)3.35237(i)0.671944(o)-6.01515(n)-323.867(d)1.3483(e)-338.594(d)1.3483(i)0.671944()5.02708(u)1.3483(s)-3.1377(i)0.671944(o)-6.01368(n)-323.868(a)18.0763(v)21.758(e)-1.33213(c)-326.547(p)-22.7432(o)-6.01368(u)1.34683(r)-331.129(c)-1.33213(o)-30.1037(e)-1.33213()2.02318(c)-1.33213(i)0.673414(e)-1.33213(n)25.4368(t)-321.863(d)1.34683(e)-338.592(d)]TJ <>endobj /R46 9.96264 Tf /R27 9.96264 Tf Ressources scolaires et corrections pour CPGE PCSI 1ère année, déposées par des professeurs. -154.8 -23.88 Td 10.44 14.04 Td CCINP Physique PC 2019 -- Corrigé Ce corrigé est proposé par Jean-Christophe Tisserand (professeur en CPGE) ; il a été relu par Gaëlle Dumas (professeur agrégé) et Julien Dumont (professeur en CPGE). 6.48 0 Td [()4.84035]TJ 15 -17.04 Td [(i)0.671944(n)1.34793(d)1.3483(i)0.671944(l)0.671944(a)-6.01515(t)3.3531(a)-6.01515(b)1.3483(l)0.671944(e)-1.33286(,)-324.543(o)-6.01515(n)-335.912(a)-6.01515]TJ /R21 9.96264 Tf -264.72 -12 Td [(1)1.16367]TJ [(n)25.4368(t)-394.133(l)0.673414(')0.673414(h)25.4368(y)-2.33195(p)-22.7432(o)-6.01368(t)3.35237(h)1.34683(�)-1.33213(s)-3.1377(e)-410.862(d)1.34683(')0.673414(u)1.34683(n)1.34683]TJ /IM true 11.28 0 Td h q /R46 9.96264 Tf stream [(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 /BPC 1 [( )307.245( )307.245(! q 3048 0 0 -4 436.9 5587.9 cm ET 7.2 3.6 Td T*[(3)-6.01515(8)-487.815(D)4.86387(�)-1.33286(t)3.3531(e)-1.33286(r)-5.91443(m)2.02392(i)0.671944(n)1.3483(e)-1.33286(r)-331.13(l)0.671944(e)-338.594(s)-3.1377(i)0.671944(g)-6.01515(n)1.3483(e)-326.549(d)1.3483(e)-1.3336]TJ [(. /R19 9.96264 Tf /W 1 [()-5.25057]TJ /R21 9.96264 Tf 8.33333 0 0 8.33333 0 0 cm BT /R21 9.96264 Tf q 4 0 0 -100 767.9 2562.9 cm 83.16 4.8 Td [(p)5.09472(u)-5.49024(n)-4.03313(c)2.1761(t)-5.11971(u)-5.49024(m)-338.742(r)48.18(e)2.1761(m)-1.4821(o)5.09472(t)-5.11971(u)-5.49024(m)-1.4821]TJ /R21 9.96264 Tf [(Q)-0.793982]TJ [(\()2.55986(T)-0.69988(\()2.55986]TJ [(z)-4.75507]TJ )0.264661]TJ 2196.87 4512.59 l ET [(1)-6.01515(4)-6.01515(. 24.36 0 Td Q /R46 9.96264 Tf 9.96 1.44 Td [(c)1.64269]TJ [(i)0.673414(l)0.673414(i)0.673414(b)1.34683(r)-5.91369(e)-471.087(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]TJ [(\()2.56133(O)-5.92546(H)3.21122(\))2.56133]TJ 1670.86 4875.9 m [(\))2.55986]TJ S 05 62 47 33 43. 1308.7 5134.6 l T*[(d)0.929253(S)0.929253]TJ 112.32 0 Td /R67 9.96264 Tf -228.72 -24.12 Td [(L)-1.49607(a)-331.23(d)1.3483(e)-1.33286(u)1.3483(x)-2.33195(i)0.671944(�)-1.3336(m)2.02465(e)-326.549(p)1.3483(a)-6.01515(r)-5.91517(t)3.35237(i)0.671944(e)-1.3336(,)-312.498(t)3.35237(r)-5.91517(�)-1.3336(s)-328.353(c)-1.3336(o)-6.01515(u)1.3483(r)-5.91517(t)3.35237(e)-1.3336(,)-312.498(a)-6.01515(b)-22.7417(o)-6.01368(r)-5.91369(d)1.34683(e)-326.547(b)1.34683(r)-5.91369(i)0.673414(�)-1.33213(v)21.758(e)-1.33213(m)2.02318(e)-1.33213(n)25.4368(t)-309.818(d)1.34683(e)-1.33213(u)1.34683(x)-327.547(d)1.34683(e)-1.33213(s)]TJ /R27 9.96264 Tf [(z)-4.75507]TJ [(G)1.07482]TJ /W 1 ET /BPC 1 0 0 0 1 k 0.6 -4.8 Td /R46 10.9108 Tf BI [(�)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 q EI Q /H 1 /R21 9.96264 Tf Q 4.68 -1.44 Td /W 1 S /IM true 258 0 Td [(d)1.3483(u)-335.912(p)1.3483(a)-6.01515(r)-5.91517(a)-6.01515(l)0.671944(l)0.671944(�)-1.3336(l)0.671944(�)-1.3336(p)1.3483(i)0.671944(p)-22.7417(�)-1.3336(d)1.3483(e)-326.549(e)-1.3336(n)25.4383(t)3.35237(r)-5.91517(e)-326.549(l)0.671944(e)-1.3336(s)-328.353(i)0.671944(n)1.3483(s)-3.1377(t)3.35237(a)-6.01515(n)25.4368(t)3.35237(s)-3.1377]TJ q 105 0 0 -4 530.9 5048.9 cm BI 2231.36 4599.96 l /W 1 CONTACT. /R32 8.96638 Tf ID )-457.037(L)-1.4968(a)-463.724(p)1.34683(l)0.673414(a)]TJ [(+)-222.735(d)0.930723]TJ -303.36 -12 Td ID endobj ET /IM true [(z)-4.75507]TJ Le concours PC s’adresse essentiellement aux candidats ayant suivi le programme de préparation PC*. 8.33333 0 0 8.33333 0 0 cm BT 8.4 0 Td /R44 7.63754 Tf -46.2605 -81.7434 Td 8.33333 0 0 8.33333 0 0 cm BT endobj (@)Tj 8.33333 0 0 8.33333 0 0 cm BT 8.33333 0 0 8.33333 0 0 cm BT *7�5U�6ƴN�I{`0�mA}¹�%Gs��&�%F�T��&��u�=|�)��}]S� 9.36 0 Td )0.264661]TJ /R73 9.96264 Tf [( )668.595(! 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Cours, Exercices corrigés, Examens - AlloSchool, Votre école sur internet /R44 6.97385 Tf [()-1.66516]TJ 75 0 R]/Contents 59 0 R [(O)-5.33879(n)-444.317(s)-3.1377(u)1.3483(p)1.3483(p)-22.7417(o)-6.01515(s)-3.1377(e)-434.954(q)-2.33195(u)1.3483(e)-446.999(l)0.671944(a)-439.635(t)3.35237(e)-1.3336(m)2.02465(p)-22.7417(�)-1.3336(r)-5.91517(a)-6.01515(t)3.35237(u)1.3483(r)-5.91517(e)-434.954(n)1.3483(e)-446.999(d)1.34683(�)-1.33213(p)-22.7432(e)-1.33213(n)1.34683(d)-444.318(q)-2.33195(u)1.34683(e)-446.997(d)1.34683(e)-1.33213]TJ )0.264661]TJ -210.96 -21.72 Td /R27 9.96264 Tf /R50 6.97385 Tf 34 0 obj Recherche des ressources par thèmes scientifiques. /BPC 1 ID <> ET /R46 9.96264 Tf 8.33333 0 0 8.33333 0 0 cm BT [(z)-4.75507]TJ ID -22.08 -14.76 Td [(l)0.673414(a)-415.544(m)2.02318(�)-1.33213(m)2.02318(e)-422.907(�)-1.33213(q)-2.33195(u)1.34683(a)-6.01368(t)3.35237(i)0.673414(o)-6.01368(n)1.34683]TJ BI 16 0 obj /R21 10.9108 Tf /R21 9.96264 Tf 5.64 3.6 Td [(\))2.56133(d)0.929253]TJ [(l)0.671944(')0.671944(o)-6.01515(u)1.3483(�)-4.01034(e)-290.413(e)-1.33286(t)-285.728(l)0.671944(a)-295.095(v)-2.33195(u)1.3483(e)-1.3336(. 7.2 3.6 Td CONTACT; plan de site; Mentions Légales 3.84 -1.44 Td ET 1 0 0 1 276.195 617.592 Tm /R10 8.96638 Tf /R27 9.96264 Tf ID 264 0 Td q 0 0 1 rg q 144 0 0 -4 1758.9 1476.9 cm ID /IM true [(z)-52.9351(;t)-0.34994]TJ Q BI [(d)1.34683(e)-266.322(r)-5.91369(�)-1.33213(a)-6.01368(l)0.673414(i)0.673414(s)-3.1377(e)-1.33213(r)-258.859(l)0.673414(a)-271.004(r)-5.91369(�)-1.33213(a)-6.01368(c)-1.33213(t)3.35237(i)0.673414(o)-6.01368(n)1.34683]TJ 8.33333 0 0 8.33333 0 0 cm BT ([)Tj [(z)-4.75507]TJ 8.33333 0 0 8.33333 0 0 cm BT 15.48 0 Td /R46 9.96264 Tf 3.6 0 Td 1 0 0 1 55.8 203.52 Tm /R44 6.97385 Tf /W 1 )0.671944]TJ 10.8 -8.76 Td 1016 4118 1880 1327 re W n ID [(d)0.930723]TJ CONTACT. q /BPC 1 [(d)0.929253]TJ -280.08 -12 Td Mines Physique et Chimie PCSI 2009 Corrigé Ce corrigé est proposé par Antoine Senger (Professeur en CPGE) et Tiphaine Weber (Enseignant-chercheur à l'université) ; il a été relu par Emmanuel Loyer (Professeur en CPGE), Thomas Tétart (ENS Cachan), Sandrine Brice-Profeta (Professeur agrégé en école d'ingénieur) et Stéphane Ravier (Professeur en CPGE). q 252.24 0 Td 4.31154 w [(Z)241.831(Z)0.930723]TJ 16.9533 0 Td 0 0 0 RG 1 0 0 1 186.6 295.2 Tm [(1)-6.01515(9)-487.815(C)-0.657241(o)-6.01515(m)2.02392(m)2.02392(e)-1.33286(n)25.4383(t)-454.357(v)57.893(a)-6.01515(r)-5.91517(i)0.671944(e)-446.999(l)0.671944(a)-451.68(p)1.3483(u)1.3483(i)0.671944(s)-3.1377(s)-3.1377(a)-6.01515(n)1.3483(c)-1.3336(e)-446.999(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)-459.042(t)3.35237(r)-5.91369(a)-6.01368(n)1.34683(s)-3.1377(f)4.35514(�)-1.33213(r)-5.91369(�)-1.33213(e)-434.952(v)21.758(e)-1.33213(r)-5.91369(s)-448.803(l)0.673414(')0.673414(a)]TJ q q q [(a)-6.01368(l)0.673414(l)0.673414(�)-1.33213(l)0.673414(e)-1.33213(,)-384.767(r)-5.91369(e)-1.33213(g)-6.01368(a)-6.01368(r)-5.91369(d)1.34683(e)-1.33213(r)-379.309(l)0.673414(e)-1.33213(s)-3.1377]TJ BI /R44 6.97385 Tf /W 1 [()-0.249957(c)-1.62031]TJ 4.31154 w endobj -224.16 -12 Td [(=)-5.92546]TJ /R67 9.96264 Tf 15.48 0 Td /IM true T*[(d)0.929988(S)0.929988]TJ /R46 9.96264 Tf EI Q /R44 6.97385 Tf /R21 9.96264 Tf T*[(|)-1.44093]TJ 8.33333 0 0 8.33333 0 0 cm BT /R21 9.96264 Tf 40 0 obj [( )668.595(! 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Corrigé: Motivation: Sujet: Option Mathématiques: Sujet: Corrigé: Option Physique: Sujet: ... 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