1 0 0 1 119.16 228.36 Tm /R59 9.96264 Tf /R19 9.96264 Tf 1739.11 1899.02 l 1301.5 2436.66 l [(O)-5.33916(n)-323.867(o)-6.01515(b)1.3483(t)3.3531(i)0.671944(e)-1.33286(n)25.4383(t)-333.907(a)-6.01515(i)0.671944(n)1.3483(s)-3.1377(i)-324.543(l)0.671944(e)-338.594(s)-3.1377(y)-2.33195(s)-3.1377(t)3.35237(�)-1.3336(m)2.02465(e)-326.549(s)-3.1377(u)1.3483(i)0.671944(v)57.893(a)-6.01515(n)25.4383(t)-321.863(\()3.35237(v)21.758(o)-6.01515(l)0.671944(u)1.3483(m)2.02465(e)-1.3336(s)-328.353(e)-1.33213(x)-2.33195(p)1.34683(r)-5.91369(i)0.673414(m)2.02318(�)-1.33213(s)-328.353(e)-1.33213(n)1.34683]TJ 1510.73 1924.2 l /IM true EI Q 1386.6 1958.34 l /R61 6.97385 Tf 1763.94 1985.82 l 2299.15 1920.5 l endobj 4.8 -18.96 Td 2087.64 1936.53 l <> 1855.66 1892.7 l 1468.09 1933.01 l 2.76 0 Td [(3)1.16367]TJ [(\()2.56133(C)-0.69988(H)3.21122]TJ /R19 9.96264 Tf 57 0 obj /BPC 1 2078.54 1937.41 l ID 1562.29 2059.97 l 1761.85 1897.58 l 1842.02 1969.29 l 0 j 8.33333 0 0 8.33333 0 0 cm BT /R59 9.96264 Tf 2546.48 1878.14 l /R61 6.97385 Tf [(4)-5.89017(4)-5.89017(0)-5.89017]TJ 1504.67 2097.3 l /R61 6.97385 Tf 199.92 0 Td /W 1 [( )-2.77264]TJ 1821.55 1973.22 l [(3)1.16367]TJ Q /Subtype/Link>>endobj ID 1795.96 1895.63 l 1844.29 1893.21 l 2708.52 1876.75 l 3 1.44 Td 2228.65 1925.06 l 2270.72 1881.57 l Vous trouverez dans cette partie du site les sujets de Sciences de l'Ingénieur et d'Informatique des différents concours. 1589.57 2045.76 l 1352.48 1974.5 l 1778.91 1896.57 l BI [(\()-1.06915]TJ EI Q 5.04 0 Td 10.44 0 Td 1670.88 1904.13 l 1 0 0 1 118.71 221.97 Tm /R19 9.96264 Tf 9.96 0 Td /R19 9.96264 Tf 1830.08 1893.89 l 41.52 3.6 Td /R61 6.97385 Tf [(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 8.33333 0 0 8.33333 0 0 cm BT 1594.13 2043.56 l 1578.02 1913.89 l 1 0 0 1 69.72 643.44 Tm [(1)-6.01368(5)-6.01368]TJ 2048.98 1886.1 l 1776.07 1982.95 l 1434.93 1941.64 l q 4 0 0 -104 436.9 1018.9 cm 2626.64 1905.63 l 1531.96 2078.2 l <> 1829.13 1971.73 l [()-5.89017]TJ 2293.46 1881.21 l 1779.1 1982.26 l 1770.38 1897.07 l 7.8 1.44 Td /IM true /W 1 /R59 9.96264 Tf 2714.2 1876.71 l 7.44 3.6 Td 1867.04 1892.2 l 1692.68 2005.4 l 1998.95 1945.95 l 1524.95 1921.71 l Q 8.33333 0 0 8.33333 0 0 cm BT )-601.578(L)-1.4968(e)-615.629(t)3.35237(a)-6.01515(b)1.3483(l)0.671944(e)-1.3336(a)-6.01515(u)-600.902(f)4.35514(o)-6.01515(u)1.34683(r)-5.91369(n)1.34683(i)-601.577(p)1.34683(a)-6.01368(r)-596.119(l)0.673414(')0.673414(�)-1.33213(n)1.34683(o)-6.01368(n)1.34683(c)-1.33213(�)-603.582(p)-22.7432(e)-1.33213(r)-5.91369(m)2.02318(e)]TJ 1719.97 1997.28 l 180.72 0 Td 2654.5 1877.18 l 1450.09 1937.47 l 1 0 0 1 338.401 209.763 Tm 7.8 0 Td 8.33333 0 0 8.33333 0 0 cm BT [(\()-1.06915(g)1.46824(\))-1.06915]TJ 2183.16 1928.38 l /R12 8.96638 Tf /R59 9.96264 Tf q 4 0 0 -104 530.9 5051.9 cm 7.8 0 Td 1347.74 1977.14 l /R32 8.96638 Tf 2412.86 1914.34 l 1759.39 1986.92 l or. endobj 1631.08 1907.83 l /R27 9.96264 Tf 2017.14 1943.85 l /W 1 -291.96 -15.36 Td 1966.54 1888.49 l 2133.13 1932.43 l [(a)-343.274(r)-5.91369(�)-1.33213(a)-6.01368(c)-1.33213(t)3.35237(i)0.673414(o)-6.01368(n)-323.868(d)1.34683(e)-350.637(c)-1.33213(o)-6.01368(m)26.1132(b)1.34683(u)1.34683(s)-3.1377(-)-4.01108]TJ 1429.24 1943.32 l 1480.41 2116.94 l [(=)-331.14(4)-174.52(H)3.21122]TJ /IM true [(r)-1.06915]TJ 2310.52 1880.95 l 2344.64 1917.88 l /R65 6.97385 Tf /R61 6.97385 Tf [(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(. 1266.25 2049 l 1257.72 2061.2 l [(3)1.16367]TJ 2256.51 1881.79 l 2440.16 1913.04 l [(\()-1.07125(g)1.47034(\))-1.07125]TJ 1 0 0 1 230.16 674.04 Tm 2574.91 1877.87 l )0.671944]TJ S 46 0 R]/Contents 38 0 R [(2)1.16367]TJ 106 0 obj 1951.18 1952 l 1635.06 2025.74 l [(q)-2.33159(u)1.3483(i)-336.588(c)-1.33286(o)-6.01515(n)1.3483(d)1.3483(u)1.3483(i)0.671944(t)-321.862(�)-6.01515]TJ /R63 6.97385 Tf 1572.9 2054.22 l 2000.65 1887.44 l Q /R19 9.96264 Tf Q ID -268.92 -11.88 Td /R21 9.96264 Tf 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. 7.32 1.44 Td 1290.89 2020.23 l /R21 9.96264 Tf 7.8 -1.8 Td BI BI <> <> 4.32 -0.36 Td Ce sujet est composé de deux problèmes indépendants cumulant 44 questions Concours commun polytechnique 2018 CCP 2018. 1395.13 1954.95 l -138.24 -12 Td ET 14.4 3.6 Td /W 1 1060.09 2112.04 l /R27 9.96264 Tf 1240.66 2090.33 l 1248.43 2700.75 l 1416.73 2185.04 l [(l)-5.85194(i)-5.85194(b)-35.7909(�)-3.02595(r)3.74642(e)-3.02595(r)-562.369(p)0.344059(l)-5.85194(u)0.344059(s)-570.326(d)0.344059(')-5.85194(�)-3.02595(n)0.344059(e)-3.02595(r)3.74642(g)-3.29944(i)-5.85194(e)-569.141(p)0.344059(a)4.81976(r)-586.459(m)-5.502(o)-3.29944(l)-5.85194(e)-569.141(d)0.344059(e)-3.02595]TJ /R19 9.96264 Tf Q 1333.53 1985.77 l Q [(2)1.16367]TJ /R59 9.96264 Tf [(2)-5.89017(5)-5.89017]TJ 2226.37 1925.22 l 2213.86 1882.53 l 2680.09 1876.97 l 1 0 0 1 330.12 18.48 Tm q 4 0 0 -100 672.9 4842.9 cm 4.44 -3.6 Td 40 0 obj 71 0 obj 1513.58 1923.69 l 1861.35 1892.45 l 1331.63 1987 l 3.12 0 Td /R32 8.96638 Tf ET [(e)-386.772(p)1.34683(a)-6.01368(r)-5.91369(t)3.35237(i)0.673414(e)-362.682(�)-379.409(t)3.35237(r)-5.91369(a)18.0763(v)21.758(e)-1.33213(r)-5.91369(s)-3.1377]TJ 1857.94 1966.4 l 1569.48 1915.01 l /R19 9.96264 Tf 1997.81 1887.52 l 2435.61 1913.26 l 1662.35 1904.88 l 1885.23 1961.77 l 8.33333 0 0 8.33333 0 0 cm BT endobj 2660.76 1904.5 l 1439.66 1940.3 l endobj 1322.73 2368.55 l 2694.3 1876.86 l [(2)1.16367]TJ 2134.27 1884.08 l [(\()-1.06915(g)1.46824(\))-1.06915]TJ 8.33333 0 0 8.33333 0 0 cm BT [(L)-1.49607(a)-379.41(t)3.3531(r)-5.91443(a)-6.01515(c)-1.33286(t)3.35237(i)0.671944(o)-6.01515(n)-360.002(f)4.35514(e)-1.3336(r)-5.91517(r)-5.91517(o)18.0749(v)-2.33195(i)0.671944(a)-6.01515(i)0.671944(r)-5.91517(e)-350.639(e)-1.3336(s)-3.1377(t)-370.043(a)-6.01515(b)-22.7417(o)-6.01515(r)-5.91517(d)1.3483(�)-1.3336(e)-362.684(d)1.34683(a)-6.01368(n)1.34683(s)-376.533(u)1.34683(n)1.34683(e)-386.772(c)-1.33213(o)-6.01368(u)1.34683(r)-5.91369(t)3.35237(e)-362.682(d)1.34683(e)-1.33213(u)1.34683(x)-2.33195(i)0.673414(�)-1.33213(m)]TJ ID 2506.68 1878.54 l 2611.86 1877.54 l 7.44 -1.44 Td 2361.69 1880.24 l 1380.91 1960.73 l 1236.3 2792.01 l ID 2497.01 1910.54 l [(C)-0.657241(e)-567.448(c)-1.33286(o)-6.01515(r)-5.91443(r)-5.91443(i)0.671944(g)-6.01515(�)-543.359(e)-1.3336(s)-3.1377(t)-562.763(p)1.3483(r)-5.91517(o)-6.01515(p)-22.7417(o)-6.01515(s)-3.1377(�)-555.404(p)1.3483(a)-6.01515(r)-559.985(A)3.02595(u)1.3483(g)-6.01515(u)1.3483(s)-3.1377(t)3.35237(i)0.671944(n)-564.768(L)-1.4968(o)-6.01368(n)1.34683(g)-572.129(\()3.35237(E)5.86664(N)3.02595(S)-576.813(L)-1.4968(y)21.758(o)-6.01368(n)1.34683(\))-550.718(e)-1.33213(t)-574.808(J)-4.17282(�)-1.33213(r)-5.91369(�)-6.01368(m)2.02318(e)]TJ endobj 2510.66 1909.97 l [(\r)-3.51656]TJ 2713.07 1902.88 l [(V)3.20975]TJ 0 0 1 rg 7.8 0 Td Base de données des concours. q 1 j )-469.082(A)3.02595(p)]TJ 1480.41 1930.23 l ID 2094.46 1884.97 l /W 1 11 Même indication que pour la question 10. [(5)-5.89017]TJ 1375.22 1963.23 l /W 1 /BPC 1 8.33333 0 0 8.33333 0 0 cm BT [(2)1.16367]TJ /R61 6.97385 Tf 1311.73 2001.49 l /IM true -251.28 -11.88 Td 6 0 Td /R19 9.96264 Tf 7.44 -1.44 Td À l’école, un cours de droit ? 1481.93 2115.63 l [(i)0.673414(o)-6.01368(n)-167.283(:)-348.632(l)0.673414(a)-367.364(c)-1.33213(o)-6.01368(n)1.34683(c)-1.33213(i)0.673414(s)-3.1377(i)0.673414(o)-6.01368(n)-347.958(r)-5.91369(�)-1.33213(c)-1.33213(l)0.673414(a)-6.01368(m)2.02318(�)-1.33213(e)-1.33213]TJ 2515.21 1878.45 l 2271.86 1922.19 l )0.673414]TJ [(d)0.345529(i)-5.85194(o)32.8341(x)4.54334(y)4.54334(d)0.345529(e)-388.467(d)0.345529(e)-376.422(c)5.09472(a)4.82123(r)3.74495(b)-35.7895(o)-3.30091(n)0.345529(e)-388.467(f)1.99525(o)-3.30091(r)3.74495(m)-5.502(�)-3.02742(e)-3.02742]TJ -260.4 -11.88 Td /R59 9.96264 Tf /R63 6.97385 Tf [(t)3.35237(e)-1.33213(u)1.34683(r)-307.039(t)27.4424(y)-2.33195(p)-22.7432(e)-314.502(m)2.02318(o)-30.1037(d)1.34683(�)-1.33213(l)0.673414(i)0.673414(s)-3.1377(�)-1.33213]TJ 1481.36 1930.03 l (;)Tj q /R19 9.96264 Tf 7.2 -1.44 Td [(4)-6.01368]TJ 1274.78 2038.05 l EI Q /BPC 1 1376.17 1962.81 l /R59 9.96264 Tf [(6)-3.30091]TJ [(2)1.16367]TJ 1937.54 1953.87 l 1503.15 2098.45 l Compte tenu du d´ebut de la question Q.8, -264.84 -11.88 Td 18 -29.88 Td 1789.71 1979.88 l 2164.97 1929.8 l 1944.36 1952.93 l [(=)-331.14(0)-5.89017]TJ 1560.01 1916.31 l /IM true [(2)-174.52()1.89379]TJ /R44 9.96264 Tf EI Q 8.33333 0 0 8.33333 0 0 cm BT 15 -1.44 Td [(c)-1.33213(a)-6.01368(r)-5.91369]TJ 265.8 0 Td 8.33333 0 0 8.33333 0 0 cm BT 1562.85 1915.91 l S [(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 BI 1460.7 2135.12 l BI /R63 6.97385 Tf q 4 0 0 -104 436.9 3469.9 cm q 1710.68 1900.99 l /R61 6.97385 Tf [(\()2.55986(O)-5.92546]TJ 2046.7 1940.62 l S 1272.88 2040.38 l <> >> 144.6 0 Td 1713.52 1900.78 l /BPC 1 1271.18 2566.12 l /R59 9.96264 Tf 1469.04 1932.79 l 2149.05 1931.09 l /R59 9.96264 Tf endobj 2031.92 1886.55 l 1989.85 1947.05 l 39 0 obj <>endobj /R59 9.96264 Tf 1729.06 1994.76 l Enoncé / CCP 2018. /W 1 1483.25 1929.62 l q 17.64 -3.6 Td q 1864.76 1965.21 l 2185.44 1883.05 l 1636.77 1907.27 l q 105 0 0 -4 530.9 1219.9 cm [(P)-6.56505]TJ 2597.08 1906.66 l /R61 6.97385 Tf 2645.98 1877.25 l 1699.31 1901.84 l BI /W 1 )4.3718]TJ 0 g CCP Informatique PSI 2016 — Corrigé Ce corrigé est proposé par Jean-Julien Fleck (Professeur en CPGE); il a été relu par Vincent Puyhaubert (Professeur en CPGE) et Benjamin Monmege (Enseignant-chercheur à l’université). 8.33333 0 0 8.33333 0 0 cm BT 1525.89 1921.55 l q 105 0 0 -4 530.9 1112.9 cm /W 1 ET [(�)-1.33286(t)3.3531(a)-6.01515(n)25.4383(t)-370.042(a)-6.01515(s)-3.1377(s)-3.1377(e)-1.33286(z)-350.638(c)-1.33286(o)-6.01515(u)1.3483(r)-5.91517(t)3.35237(s)-3.1377(,)-348.633(a)-6.01515(i)0.671944(n)1.3483(s)-3.1377(i)-360.678(q)-2.33195(u)1.3483(')0.671944(u)1.3483(n)-372.047(e)-1.3336()5.02708(o)-6.01515(r)-5.91517(t)-357.998(p)1.3483(a)-6.01515(r)-5.91517(t)3.35237(i)0.673414(c)-1.33213(u)1.34683(l)0.673414(i)0.673414(e)-1.33213(r)-355.219(d)1.34683(e)-374.727(r)-5.91369(�)-1.33213(d)1.34683(a)-6.01368(c)-1.33213(t)]TJ Sujet Corrigé . <> /R27 9.96264 Tf BI [(=)-270.915(4)-5.89017(4)-5.89017(0)-319.06(c)-1.66442(m)1.89526]TJ ET /R59 9.96264 Tf 2211.02 1882.58 l /IM true ET /R19 9.96264 Tf [(A)20.448(n)-4.03313(n)-4.03166(a)5.09325(l)2.54662(e)2.1761(s)-350.049(d)5.09325(e)2.1761(s)-362.094(C)4.72272(o)5.09325(n)-4.03166(c)50.3561(o)5.09325(u)-5.49024(rs)-0.74399]TJ /R63 6.97385 Tf /R59 9.96264 Tf 1773.04 1983.66 l 1679.03 2009.8 l EI Q q 1463.73 2132.18 l 279.12 0 Td [(\))2.56133]TJ 2594.8 1906.75 l [(H)3.21122]TJ /R61 6.97385 Tf 2532.26 1878.27 l 81 0 obj 1476.62 1931.07 l S 1730.58 1899.59 l EI Q 15.36 TL 262.8 0 Td 1433.41 2164.35 l 1399.86 1953.15 l 4 0 R 4.44 -0.36 Td CCP Informatique PSI 2019 Intelligence Artificielle - Application en médecine ; CCP Informatique PSI 2018 Système d'aide à l'arbitrage : le Hawk-Eye ; CCP Informatique PSI 2017 Étude de la capacité et de la congestion de l'autoroute A7 ; CCP Informatique PSI 2016 La mission Cassini-Huygens ; CCP Informatique PSI 2015 Robot Evolap – Suivi d'un instrument chirurgical /W 1 /R61 6.97385 Tf 1296.57 2014.69 l 2500.99 1878.59 l <> /W 1 1336.37 1983.95 l 7.44 -1.44 Td 2202.49 1882.73 l 2640.29 1905.17 l 2205.9 1926.68 l 1815.49 1974.43 l <>endobj /R17 9.96264 Tf 1498.61 2101.96 l [(1)1.16367]TJ 1389.44 1957.18 l 108 0 obj 1608.34 1910.25 l endobj /H 1 2576.61 1907.41 l ()Tj 1444.4 1938.98 l [(s)-3.1377(o)-6.01515(u)1.3483(s)-328.353(f)4.35514(o)-6.01515(r)-5.91443(m)2.02392(e)-326.548(d)1.3483(e)-338.594(c)22.7564(h)1.3483(a)-6.01515(l)0.671944(e)-1.3336(u)1.3483(r)-5.91517(. 1318.37 1996.34 l 1292.78 2018.35 l 1237.82 2095.92 l 1624.81 1897.56 1614.08 1908.53 1610.98 1909.96 c /BPC 1 [(1)1.16367]TJ 1939.81 1953.55 l 2592.53 1906.82 l 1817 1974.13 l Mathématiques 1. 2077.41 1885.38 l /R61 6.97385 Tf 19 0 obj /W 1 S 1551.67 2066.03 l /IM true 1390.95 2222.31 l )4.3718]TJ 1889.78 1891.26 l 8.28 -1.44 Td 1230.24 2844.29 m 2003.49 1887.36 l [(I)-2.69562(. Annales 2018 CCP Mines Centrale Polytechnique: Mathématiques et Informatique PSI 8.28 -1.44 Td q /H 1 1976.2 1948.73 l 8.33333 0 0 8.33333 0 0 cm BT /IM true )0.671944]TJ Ce long problème est consacré à … [(c)-1.33286(o)-6.01515(m)2.02392(p)1.3483(a)-6.01515(r)-5.91443(a)-6.01515(t)3.35237(i)0.671944(v)21.758(e)-290.414(d)1.3483(e)-314.504(d)1.3483(i)0.671944()5.02708(�)-1.3336(r)-5.91517(e)-1.3336(n)25.4383(t)3.35237(s)-304.263(c)-1.3336(a)-6.01515(r)-5.91517(b)1.3483(u)1.3483(r)-5.91517(a)-6.01515(n)25.4383(t)3.35237(s)-3.1377(,)-288.407(o)-6.01368(n)-299.778(s)-3.1377(')0.673414(i)0.673414(n)25.4368(t)3.35237(�)-1.33213(r)-5.91369(e)-1.33213(s)-3.1377(s)-3.1377(e)-302.457(�)-307.139(u)1.34683(n)-311.823(m)2.02318(o)]TJ [(P)-6.56505(V)3.20975]TJ 5.04 0 Td L’objectif de ce stage est de consolider les acquis de la première année SUP et bien préparer la rentrée scolaire. /IM true 2691.46 1876.88 l [(O)-5.92546]TJ >> <> [(C)-0.69988(O)-5.92546]TJ 1666.9 2013.91 l 8.33333 0 0 8.33333 0 0 cm BT /H 1 2617.55 1877.48 l /R59 9.96264 Tf [(i)0.671944(n)25.4383(v)21.7588(e)-1.33286(r)-5.91443(s)-3.1377(i)0.671944(o)-6.01515(n)-299.777(d)1.3483(e)-1.33286(s)-340.398(v)21.758(o)-6.01515(l)0.671944(u)1.3483(m)2.02465(e)-1.3336(s)-316.308(d)1.3483(e)-1.3336(s)-340.398(P)5.86664(M)1.02188(H)-334.234(e)-1.3336(t)-333.908(P)5.86664(M)1.02188(B)-2.49516(. q [(I)-0.410469(n)-2.69807(d)-4.26275(i)2.11116(c)-4.95749(a)97.7039(t)-4.93053(i)2.11238(o)4.21252(n)-2.69807(s)-2.27657]TJ [(d)1.34793(u)-335.912(g)-6.01515(a)-6.01515(z)-314.503(v)21.7588(�)-1.33286(r)-5.91443(i)0.671944()1.3483(e)-1.33286(n)25.4383(t)-321.862(l)0.671944(a)-331.23(l)0.671944(o)-6.01515(i)-336.588(d)1.3483(e)-326.549(L)-1.4968(a)-6.01515(p)1.3483(l)0.671944(a)-6.01515(c)-1.3336(e)-1.3336]TJ 1321.21 2372.94 l q 2201.36 1927.01 l 2083.09 1885.24 l 2208.18 1882.63 l 1971.65 1949.31 l BI 7.8 -12 Td q 6.24 0 Td 4.56 -0.36 Td 1606.44 1910.46 l ET 22.2 0 Td 1591.09 2045.02 l /R59 9.96264 Tf [(c)-1.66442(m)1.89379]TJ ET 1673.72 1903.89 l q 105 0 0 -4 436.9 5337.9 cm [(d)1.34793(i)0.671944(a)-6.01515(g)-6.01515(r)-5.91443(a)-6.01515(m)2.02392(m)2.02392(e)-434.953(d)1.3483(e)-459.043(W)88.0129(a)-6.01515(t)3.35237(t)-466.403(s)-3.1377(u)1.3483(i)0.671944(v)57.893(a)-6.01515(n)25.4383(t)-442.313(\()3.35237(l)0.671944(e)-1.3336(s)-460.848(v)57.893(a)-6.01515(l)0.671944(e)-1.3336(u)1.3483(r)-5.91517(s)-448.803(d)1.3483(e)-1.33213(s)-448.803(p)1.34683(r)-5.91369(e)-1.33213(s)-3.1377(s)-3.1377(i)0.673414(o)-6.01368(n)1.34683(s)-3.1377]TJ /R61 6.97385 Tf 2215 1926.02 l /R59 9.96264 Tf 1335.43 1984.55 l 1632.03 2026.95 l 2315.07 1919.55 l 1346.8 1977.68 l 2301.99 1881.08 l /R59 9.96264 Tf 0 g 1278.57 2033.55 l ()Tj 1837.47 1970.14 l 2.76 0 Td 1530.63 1920.77 l [(2)-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(a)-331.23(l)0.671944(o)-6.01515(i)-336.588(d)1.3483(e)-326.549(H)3.02595(e)-1.3336(s)-3.1377(s)-3.1377(. /IM true <> [(P)-6.56358]TJ 7.8 0 Td 1407.45 1950.41 l 0 0 0 1 k q 2244.57 1923.97 l 1682.25 1903.18 l /R59 9.96264 Tf /R59 9.96264 Tf 1394.18 1955.31 l 9 0 obj [(=)-282.96(2)-174.52()1.89526]TJ /R10 8.96638 Tf Q 6.84 -1.44 Td q 105 0 0 -4 436.9 1021.9 cm 1648.14 1906.17 l [()1.89526]TJ 2100.15 1884.84 l 17.76 3.6 Td 12.84 1.8 Td /BPC 1 ET /IM true ID 0 0 0 1 k 2192.26 1927.69 l 1867.04 1964.82 l [(d)1.34683(e)-459.042(l)0.673414(')0.673414(�)-1.33213(c)-1.33213(o)-6.01368(u)1.34683(l)0.673414(e)-1.33213(m)2.02318(e)-1.33213(n)25.4368(t)3.35237(. /R59 9.96264 Tf 2308.25 1919.95 l 1416.92 1947.2 l /R59 9.96264 Tf [(k)-2.9789(m)1.89379]TJ 1 J 1470.93 1932.35 l [(. 24 0 obj 2478.25 1878.84 l 7.32 2.52 Td /R27 9.96264 Tf 8.52 8.28 Td [(C)-0.379326(C)-0.379326(P)-369.718(P)-1.67761(h)33.8105(y)3.25924(s)-1.17218(i)-4.0087(q)3.25924(u)0.352267(e)-369.88(e)-1.83894(t)-358.593(C)-0.379836(h)0.352267(i)-4.0087(m)-3.65337(i)-4.0087(e)-361.514(P)-1.67863(S)0.351246(I)-364.622(2)-2.19325(0)-2.19325(1)-2.19325(8)-353.505()-372.425(C)-0.379836(o)-2.19325(r)3.02235(r)3.02235(i)-4.0087(g)-2.19325(�)-1.83792]TJ /R61 6.97385 Tf /IM true 2344.64 1880.47 l 1411.23 1949.1 l BI 1807.91 1975.99 l <> BI /R19 9.96264 Tf 11.64 -1.44 Td /BPC 1 /R19 9.96264 Tf /R63 6.97385 Tf endstream 2033.06 1942.08 l 1362.91 1969.07 l [(C)-0.69988(O)-5.92546]TJ CCP Informatique PSI 2018 -- Corrigé Ce corrigé est proposé par Virgile Andreani (ENS Ulm) ; il a été relu par Emma Kerinec (ENS Lyon) et Julien Dumont (professeur en CPGE). 2139.95 1931.85 l 0 0 0 1 k <> 7.8 -1.8 Td 1986.44 1887.87 l 2965.67 1697.11 2956.54 1689.64 2955.71 1684.66 c 8.33333 0 0 8.33333 0 0 cm BT ET (:)Tj [(1)-5.89017]TJ 1736.27 1899.2 l 4.44 -0.36 Td 1237.82 2779.68 l 1905.7 1958.54 l 0 J Q /IM true UPSTI-Corrige-CCP-PSI-2015-TelechirugieRobotisee.pdf La téléopération consiste à mettre en relation deux manipulateurs appelés communément maître et esclave. endobj 37 0 obj /IM true 1403.65 1951.77 l 2253.66 1881.84 l 0 0 0 1 k q [(7)-3.30091]TJ 1060.09 1876.5 l 1384.7 1959.13 l 2717.62 1902.74 l /R67 6.97385 Tf 1323.11 1992.87 l )4.3718]TJ 2651.66 1904.8 l 2590.26 1906.91 l 2042.16 1941.1 l ID Section MP. /R59 9.96264 Tf [(n)-372.048(n)1.34683(i)0.673414(v)21.758(e)-1.33213(a)-6.01368(u)-347.958(r)-5.91369(a)-6.01368(i)0.673414(-)-4.01108]TJ 1909.68 1890.48 l q 4 0 0 -104 631.9 3580.9 cm 244.8 0 Td Addeddate 2016-08-01 16:51:27 Identifier archive_cnc Identifier-ark ark:/13960/t11p2wp0r Ocr ABBYY FineReader 11.0 Olsearch post Ppi 300 Scanner Internet Archive HTML5 Uploader 1.6.3 Q 2682.93 1876.95 l 2581.16 1907.24 l 1718.45 1997.71 l Q /IM true q 138.24 0 Td endobj 2455.51 1879.09 l 1344.9 1978.78 l 1949.48 1889.06 l 1324.05 1992.19 l /IM true 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[(C)6.26364]TJ 2242.29 1882.03 l 1580.86 1913.52 l 2446.98 1912.73 l 1256.77 2062.64 l /IM true 1955.73 1951.39 l 8.33333 0 0 8.33333 0 0 cm BT 36 0 obj [(P)-6.56358]TJ Q /BPC 1 Annales 2018 Ccp Mines Centrale Polytechnique Mathã Matiques Et Informatique Pc By Collectif William Aufort Benjamin Monmege Vincent Puyhaubert Le Coin Des Maths Aide En Maths Et Correction. q 2185.44 1928.2 l 121.8 -21.72 Td [(2)1.16367]TJ 1 0 0 1 171 214.8 Tm q /IM true 1307.95 2004.59 l S /R19 9.96264 Tf 1942.09 1953.24 l 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et Chimie PSI 2018 — Corrigé Ce corrigé est proposé par Augustin Long (ENS Lyon) et Jérôme Lambert (enseignant-chercheur à l’université); il a été relu par Alexandre Herault (professeur en CPGE), Olivier Frantz (professeur agrégé en école d’ingénieurs) et Tom Morel (professeur en CPGE). 2260.49 1922.92 l 1287.86 2489.34 l 0 J /W 1 25.2 -1.44 Td 1463.35 1934.13 l 1371.43 1964.96 l 1881.25 1891.61 l Section PC. /R59 9.96264 Tf [(p)-22.7432(o)-6.01368(u)1.34683(r)-331.129(l)0.673414(e)-326.547(G)1.60267(P)5.86664(L)-1.4968]TJ 22.68 0 Td <>stream )0.673414]TJ 2219.55 1925.7 l [(\))2.56133]TJ Q 24.48 -1.44 Td EI Q /BPC 1 1542.57 2071.49 l [()1.89379]TJ Q 24 CCP Maths 1 MP 2018 — Corrigé CCP Maths 1 MP 2018 — Corrigé Ce corrigé est proposé par Clément Mifsud (professeur en CPGE); il a été relu par Loïc Devilliers (ENS Cachan) et Sophie Rainero (professeur en CPGE). /R59 9.96264 Tf <> 1858.51 1892.57 l 1 0 0 1 153 446.88 Tm /R19 9.96264 Tf /H 1 ID 110.64 0 Td /R63 6.97385 Tf [(H)3.21122]TJ 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