\relax 
\providecommand \babel@aux [2]{\global \let \babel@toc \@gobbletwo }
\@nameuse{bbl@beforestart}
\catcode `:\active 
\catcode `;\active 
\catcode `!\active 
\catcode `?\active 
\providecommand\hyper@newdestlabel[2]{}
\providecommand\HyField@AuxAddToFields[1]{}
\providecommand\HyField@AuxAddToCoFields[2]{}
\babel@aux{french}{}
\@writefile{toc}{\contentsline {chapter}{AVANT$-$PROPOS}{iii}{chapter*.1}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{lof}{\contentsline {xchapter}{AVANT$-$PROPOS}{iii}{chapter*.1}\protected@file@percent }
\@writefile{lot}{\contentsline {xchapter}{AVANT$-$PROPOS}{iii}{chapter*.1}\protected@file@percent }
\@writefile{toc}{\contentsline {chapter}{AUTRES OUVRAGES}{v}{chapter*.2}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{lof}{\contentsline {xchapter}{AUTRES OUVRAGES}{v}{chapter*.2}\protected@file@percent }
\@writefile{lot}{\contentsline {xchapter}{AUTRES OUVRAGES}{v}{chapter*.2}\protected@file@percent }
\@writefile{toc}{\contentsline {chapter}{SITES INTERNET}{vi}{chapter*.3}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{lof}{\contentsline {xchapter}{SITES INTERNET}{vi}{chapter*.3}\protected@file@percent }
\@writefile{lot}{\contentsline {xchapter}{SITES INTERNET}{vi}{chapter*.3}\protected@file@percent }
\@writefile{toc}{\contentsline {chapter}{\numberline {1}Le second degré}{1}{chapter.1}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{lof}{\contentsline {xchapter}{Le second degré}{1}{chapter.1}\protected@file@percent }
\@writefile{lot}{\contentsline {xchapter}{Le second degré}{1}{chapter.1}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {I}Introduction et motivation}{2}{section.1.1}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Trajectoire d'un objet lancé avec un angle}{2}{subsection.1.1.1}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Définition}{3}{subsection.1.1.2}\protected@file@percent }
\newlabel{exemple:1.1}{{1}{3}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.1}{}}
\@writefile{toc}{\contentsline {section}{\numberline {II}Forme canonique}{3}{section.1.2}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Définition}{3}{subsection.1.2.1}\protected@file@percent }
\newlabel{exemple:1.2}{{2}{3}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Sens de variation}{4}{subsection.1.2.2}\protected@file@percent }
\newlabel{prop:1.1}{{1}{4}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.1}{}}
\@writefile{toc}{\contentsline {section}{\numberline {III}Racines éventuelles}{4}{section.1.3}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Définition}{4}{subsection.1.3.1}\protected@file@percent }
\newlabel{exemple:1.3}{{3}{4}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.3}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Existence de racines}{4}{subsection.1.3.2}\protected@file@percent }
\@writefile{toc}{\contentsline {subsubsection}{\numberline {a}Résultat préliminaire}{4}{subsubsection.1.3.2.1}\protected@file@percent }
\newlabel{prop:1.2}{{2}{4}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.2}{}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {b}Discriminant}{5}{subsubsection.1.3.2.2}\protected@file@percent }
\newlabel{exemple:1.4}{{4}{5}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.4}{}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {c}Trouver les racines éventuelles}{5}{subsubsection.1.3.2.3}\protected@file@percent }
\newlabel{prop:1.3}{{3}{6}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.3}{}}
\newlabel{rem:1}{{1}{6}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.1}{}}
\newlabel{exemple:1.5}{{5}{7}{\if \@empty nombre de racines\else (nombre de racines)\fi }{tcb@cnt@tcbexemple.5}{}}
\newlabel{exemple:nombre de racines}{{5}{7}{\if \@empty nombre de racines\else (nombre de racines)\fi }{tcb@cnt@tcbexemple.5}{}}
\@writefile{toc}{\contentsline {section}{\numberline {IV}Factorisation et signe d'un\ttl@linetosp  polynôme de degré 2}{7}{section.1.4}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Factorisation}{7}{subsection.1.4.1}\protected@file@percent }
\newlabel{prop:1.4}{{4}{7}{\if \@empty factorisation\else (factorisation)\fi }{tcb@cnt@tcbprop.4}{}}
\newlabel{prop:factorisation}{{4}{7}{\if \@empty factorisation\else (factorisation)\fi }{tcb@cnt@tcbprop.4}{}}
\newlabel{exemple:1.6}{{6}{8}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.6}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Signe d'un polynôme de degré 2}{8}{subsection.1.4.2}\protected@file@percent }
\newlabel{prop:1.5}{{5}{8}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.5}{}}
\newlabel{exemple:1.7}{{7}{9}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.7}{}}
\@writefile{toc}{\contentsline {section}{\numberline {V}Somme et produit des racines}{9}{section.1.5}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Premiers résultats}{9}{subsection.1.5.1}\protected@file@percent }
\newlabel{prop:1.6}{{6}{9}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.6}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Exploiter la somme et le produit des racines}{10}{subsection.1.5.2}\protected@file@percent }
\newlabel{prop:1.7}{{7}{10}{\if \@empty sommet et produit des racines\else (sommet et produit des racines)\fi }{tcb@cnt@tcbprop.7}{}}
\newlabel{prop:sommet et produit des racines}{{7}{10}{\if \@empty sommet et produit des racines\else (sommet et produit des racines)\fi }{tcb@cnt@tcbprop.7}{}}
\newlabel{rem:2}{{2}{10}{\if \@empty pour les futur.e.s expert.e.s\else (pour les futur.e.s expert.e.s)\fi }{tcb@cnt@tcbrem.2}{}}
\newlabel{exemple:1.8}{{8}{10}{\if \@empty trouver les dimensions d'un rectangle\else (trouver les dimensions d'un rectangle)\fi }{tcb@cnt@tcbexemple.8}{}}
\newlabel{exemple:trouver les dimensions d'un rectangle}{{8}{10}{\if \@empty trouver les dimensions d'un rectangle\else (trouver les dimensions d'un rectangle)\fi }{tcb@cnt@tcbexemple.8}{}}
\@writefile{toc}{\contentsline {section}{\numberline {VI}L'essentiel}{11}{section.1.6}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{Enoncés}{12}{section*.5}\protected@file@percent }
\newlabel{exercice:1.1}{{1.1}{12}{}{tcb@cnt@exocor.1.1}{}}
\newlabel{exercice:1.2}{{1.2}{12}{}{tcb@cnt@exocor.1.2}{}}
\newlabel{exercice:1.3}{{1.3}{12}{}{tcb@cnt@exocor.1.3}{}}
\newlabel{exercice:1.4}{{1.4}{12}{}{tcb@cnt@exocor.1.4}{}}
\newlabel{exercice:1.5}{{1.5}{13}{}{tcb@cnt@exocor.1.5}{}}
\newlabel{exercice:1.6}{{1.6}{13}{}{tcb@cnt@exocor.1.6}{}}
\newlabel{exercice:1.7}{{1.7}{13}{}{tcb@cnt@exocor.1.7}{}}
\newlabel{exercice:1.8}{{1.8}{13}{}{tcb@cnt@exocor.1.8}{}}
\newlabel{exercice:1.9}{{1.9}{13}{}{tcb@cnt@exocor.1.9}{}}
\newlabel{exercice:1.10}{{1.10}{14}{}{tcb@cnt@exocor.1.10}{}}
\newlabel{exercice:1.11}{{1.11}{14}{}{tcb@cnt@exocor.1.11}{}}
\newlabel{exercice:1.12}{{1.12}{14}{}{tcb@cnt@exocor.1.12}{}}
\newlabel{exercice:1.13}{{1.13}{15}{}{tcb@cnt@exocor.1.13}{}}
\newlabel{exercice:1.14}{{1.14}{15}{}{tcb@cnt@exocor.1.14}{}}
\newlabel{exercice:1.15}{{1.15}{15}{}{tcb@cnt@exocor.1.15}{}}
\newlabel{exercice:1.16}{{1.16}{15}{}{tcb@cnt@exocor.1.16}{}}
\newlabel{exercice:1.17}{{1.17}{16}{}{tcb@cnt@exocor.1.17}{}}
\newlabel{exercice:1.18}{{1.18}{16}{}{tcb@cnt@exocor.1.18}{}}
\newlabel{exercice:1.19}{{1.19}{16}{}{tcb@cnt@exocor.1.19}{}}
\newlabel{exercice:1.20}{{1.20}{17}{}{tcb@cnt@exocor.1.20}{}}
\newlabel{exercice:1.21}{{1.21}{17}{}{tcb@cnt@exocor.1.21}{}}
\newlabel{exercice:1.22}{{1.22}{18}{}{tcb@cnt@exocor.1.22}{}}
\newlabel{exercice:1.23}{{1.23}{18}{}{tcb@cnt@exocor.1.23}{}}
\newlabel{exercice:1.24}{{1.24}{18}{}{tcb@cnt@exocor.1.24}{}}
\newlabel{exercice:1.25}{{1.25}{18}{}{tcb@cnt@exocor.1.25}{}}
\newlabel{exercice:1.26}{{1.26}{19}{}{tcb@cnt@exocor.1.26}{}}
\newlabel{exercice:1.27}{{1.27}{19}{}{tcb@cnt@exocor.1.27}{}}
\newlabel{exercice:1.28}{{1.28}{20}{}{tcb@cnt@exocor.1.28}{}}
\newlabel{exercice:1.29}{{1.29}{21}{}{tcb@cnt@exocor.1.29}{}}
\newlabel{exercice:1.30}{{1.30}{21}{}{tcb@cnt@exocor.1.30}{}}
\newlabel{exercice:1.31}{{1.31}{21}{}{tcb@cnt@exocor.1.31}{}}
\newlabel{exercice:1.32}{{1.32}{22}{}{tcb@cnt@exocor.1.32}{}}
\newlabel{exercice:1.33}{{1.33}{22}{}{tcb@cnt@exocor.1.33}{}}
\newlabel{exercice:1.34}{{1.34}{22}{}{tcb@cnt@exocor.1.34}{}}
\newlabel{secdegqcmq1c}{{{{\textcolor {numpageenonce}{c.}}}}{22}{}{Item.149}{}}
\newlabel{secdegqcmq2b}{{{{\textcolor {numpageenonce}{b.}}}}{23}{}{Item.153}{}}
\newlabel{secdegqcmq3d}{{{{\textcolor {numpageenonce}{d.}}}}{23}{}{Item.160}{}}
\newlabel{secdegqcmq4c}{{{{\textcolor {numpageenonce}{c.}}}}{23}{}{Item.164}{}}
\newlabel{secdegqcmq6b}{{{{\textcolor {numpageenonce}{b.}}}}{23}{}{Item.168}{}}
\newlabel{secdegqcmq5c}{{{{\textcolor {numpageenonce}{c.}}}}{23}{}{Item.174}{}}
\newlabel{secdegqcmq7d}{{{{\textcolor {numpageenonce}{d.}}}}{23}{}{Item.180}{}}
\newlabel{secdegqcmq8a}{{{{\textcolor {numpageenonce}{a.}}}}{24}{}{Item.182}{}}
\newlabel{secdegqcmq9d}{{{{\textcolor {numpageenonce}{d.}}}}{24}{}{Item.190}{}}
\newlabel{secdegqcmq10c}{{{{\textcolor {numpageenonce}{c.}}}}{24}{}{Item.194}{}}
\newlabel{rem:4}{{4}{24}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.4}{}}
\@writefile{toc}{\contentsline {section}{Corrigés des exercices}{25}{section*.7}\protected@file@percent }
\newlabel{solution:1.1}{{VI}{25}{}{section*.8}{}}
\newlabel{solution:1.2}{{VI}{26}{}{section*.9}{}}
\newlabel{solution:1.3}{{VI}{28}{}{section*.10}{}}
\newlabel{solution:1.4}{{VI}{29}{}{section*.11}{}}
\newlabel{solution:1.5}{{VI}{31}{}{section*.12}{}}
\newlabel{solution:1.6}{{VI}{31}{}{section*.13}{}}
\newlabel{solution:1.7}{{VI}{31}{}{section*.14}{}}
\newlabel{solution:1.8}{{VI}{32}{}{section*.15}{}}
\newlabel{solution:1.9}{{VI}{32}{}{section*.16}{}}
\newlabel{solution:1.10}{{VI}{34}{}{section*.17}{}}
\newlabel{solution:1.11}{{VI}{35}{}{section*.18}{}}
\newlabel{solution:1.12}{{VI}{35}{}{section*.19}{}}
\newlabel{solution:1.13}{{VI}{36}{}{section*.20}{}}
\newlabel{solution:1.14}{{VI}{37}{}{section*.21}{}}
\newlabel{solution:1.15}{{VI}{38}{}{section*.22}{}}
\newlabel{solution:1.16}{{VI}{40}{}{section*.23}{}}
\newlabel{solution:1.17}{{VI}{41}{}{section*.24}{}}
\newlabel{solution:1.18}{{VI}{42}{}{section*.25}{}}
\newlabel{solution:1.19}{{VI}{43}{}{section*.26}{}}
\newlabel{solution:1.20}{{VI}{43}{}{section*.27}{}}
\newlabel{solution:1.21}{{VI}{44}{}{section*.28}{}}
\newlabel{solution:1.22}{{VI}{45}{}{section*.29}{}}
\newlabel{solution:1.23}{{VI}{45}{}{section*.30}{}}
\newlabel{solution:1.24}{{VI}{45}{}{section*.31}{}}
\newlabel{solution:1.25}{{VI}{46}{}{section*.32}{}}
\newlabel{solution:1.26}{{VI}{47}{}{section*.33}{}}
\newlabel{solution:1.27}{{VI}{47}{}{section*.34}{}}
\newlabel{solution:1.28}{{VI}{48}{}{section*.35}{}}
\newlabel{solution:1.29}{{VI}{50}{}{section*.36}{}}
\newlabel{solution:1.30}{{VI}{50}{}{section*.37}{}}
\newlabel{solution:1.31}{{VI}{52}{}{section*.38}{}}
\newlabel{solution:1.32}{{VI}{53}{}{section*.39}{}}
\newlabel{rem:5}{{5}{53}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.5}{}}
\newlabel{solution:1.33}{{VI}{54}{}{section*.40}{}}
\newlabel{solution:1.34}{{VI}{55}{}{section*.41}{}}
\@writefile{toc}{\contentsline {chapter}{\numberline {2}Dérivation et ses applications}{57}{chapter.2}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{lof}{\contentsline {xchapter}{Dérivation et ses applications}{57}{chapter.2}\protected@file@percent }
\@writefile{lot}{\contentsline {xchapter}{Dérivation et ses applications}{57}{chapter.2}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {I}Première approche historique}{58}{section.2.1}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {II}Nombre dérivé}{59}{section.2.2}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Approche géométrique}{59}{subsection.2.2.1}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Définition et exemples fondamentaux}{61}{subsection.2.2.2}\protected@file@percent }
\newlabel{exemple:2.9}{{9}{61}{\if \@empty la fonction carré\else (la fonction carré)\fi }{tcb@cnt@tcbexemple.9}{}}
\newlabel{exemple:la fonction carré}{{9}{61}{\if \@empty la fonction carré\else (la fonction carré)\fi }{tcb@cnt@tcbexemple.9}{}}
\newlabel{exemple:2.10}{{10}{61}{\if \@empty la fonction cube\else (la fonction cube)\fi }{tcb@cnt@tcbexemple.10}{}}
\newlabel{exemple:la fonction cube}{{10}{61}{\if \@empty la fonction cube\else (la fonction cube)\fi }{tcb@cnt@tcbexemple.10}{}}
\newlabel{exemple:2.11}{{11}{62}{\if \@empty la fonction racine carrée\else (la fonction racine carrée)\fi }{tcb@cnt@tcbexemple.11}{}}
\newlabel{exemple:la fonction racine carrée}{{11}{62}{\if \@empty la fonction racine carrée\else (la fonction racine carrée)\fi }{tcb@cnt@tcbexemple.11}{}}
\newlabel{exemple:2.12}{{12}{62}{\if \@empty la fonction inverse\else (la fonction inverse)\fi }{tcb@cnt@tcbexemple.12}{}}
\newlabel{exemple:la fonction inverse}{{12}{62}{\if \@empty la fonction inverse\else (la fonction inverse)\fi }{tcb@cnt@tcbexemple.12}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3}Interprétations du nombre dérivé}{63}{subsection.2.2.3}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {III}\'Equation de la tangente}{64}{section.2.3}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Définition}{64}{subsection.2.3.1}\protected@file@percent }
\newlabel{exemple:2.13}{{13}{64}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.13}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}\'Equation}{64}{subsection.2.3.2}\protected@file@percent }
\newlabel{prop:2.8}{{8}{64}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.8}{}}
\@writefile{toc}{\contentsline {section}{\numberline {IV}Fonction dérivée}{65}{section.2.4}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Définition}{65}{subsection.2.4.1}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Dérivées de référence}{65}{subsection.2.4.2}\protected@file@percent }
\newlabel{prop:2.9}{{9}{65}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.9}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3}Dérivée d'une fonction composée}{66}{subsection.2.4.3}\protected@file@percent }
\newlabel{prop:2.10}{{10}{66}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.10}{}}
\newlabel{exemple:2.14}{{14}{66}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.14}{}}
\@writefile{toc}{\contentsline {section}{\numberline {V}Fonction valeur absolue}{66}{section.2.5}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Définition (rappel de Seconde)}{66}{subsection.2.5.1}\protected@file@percent }
\newlabel{exemple:2.15}{{15}{66}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.15}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Courbe représentative}{67}{subsection.2.5.2}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {3}Dérivée}{67}{subsection.2.5.3}\protected@file@percent }
\newlabel{prop:2.11}{{11}{67}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.11}{}}
\newlabel{rem:6}{{6}{67}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.6}{}}
\@writefile{toc}{\contentsline {section}{\numberline {VI}Opérations sur les dérivées}{68}{section.2.6}\protected@file@percent }
\newlabel{prop:2.12}{{12}{68}{\if \@empty formules usuelles\else (formules usuelles)\fi }{tcb@cnt@tcbprop.12}{}}
\newlabel{prop:formules usuelles}{{12}{68}{\if \@empty formules usuelles\else (formules usuelles)\fi }{tcb@cnt@tcbprop.12}{}}
\newlabel{exemple:2.16}{{16}{68}{\if \@empty produit d'un nombre et d'une fonction\else (produit d'un nombre et d'une fonction)\fi }{tcb@cnt@tcbexemple.16}{}}
\newlabel{exemple:produit d'un nombre et d'une fonction}{{16}{68}{\if \@empty produit d'un nombre et d'une fonction\else (produit d'un nombre et d'une fonction)\fi }{tcb@cnt@tcbexemple.16}{}}
\newlabel{exemple:2.17}{{17}{68}{\if \@empty somme\else (somme)\fi }{tcb@cnt@tcbexemple.17}{}}
\newlabel{exemple:somme}{{17}{68}{\if \@empty somme\else (somme)\fi }{tcb@cnt@tcbexemple.17}{}}
\newlabel{exemple:2.18}{{18}{68}{\if \@empty différence\else (différence)\fi }{tcb@cnt@tcbexemple.18}{}}
\newlabel{exemple:différence}{{18}{68}{\if \@empty différence\else (différence)\fi }{tcb@cnt@tcbexemple.18}{}}
\newlabel{exemple:2.19}{{19}{68}{\if \@empty produit de deux fonctions\else (produit de deux fonctions)\fi }{tcb@cnt@tcbexemple.19}{}}
\newlabel{exemple:produit de deux fonctions}{{19}{68}{\if \@empty produit de deux fonctions\else (produit de deux fonctions)\fi }{tcb@cnt@tcbexemple.19}{}}
\newlabel{exemple:2.20}{{20}{69}{\if \@empty quotient de deux fonctions\else (quotient de deux fonctions)\fi }{tcb@cnt@tcbexemple.20}{}}
\newlabel{exemple:quotient de deux fonctions}{{20}{69}{\if \@empty quotient de deux fonctions\else (quotient de deux fonctions)\fi }{tcb@cnt@tcbexemple.20}{}}
\newlabel{rem:7}{{7}{69}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.7}{}}
\@writefile{toc}{\contentsline {section}{\numberline {VII}Applications de la dérivation}{70}{section.2.7}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Variation d'une fonction}{70}{subsection.2.7.1}\protected@file@percent }
\newlabel{prop:2.13}{{13}{70}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.13}{}}
\newlabel{exemple:2.21}{{21}{70}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.21}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Extremum local}{71}{subsection.2.7.2}\protected@file@percent }
\newlabel{exemple:2.22}{{22}{71}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.22}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3}Méthode de Newton}{71}{subsection.2.7.3}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{Enoncés}{75}{section*.42}\protected@file@percent }
\newlabel{exercice:2.1}{{2.1}{75}{}{tcb@cnt@exocor.2.1}{}}
\newlabel{exercice:2.2}{{2.2}{76}{}{tcb@cnt@exocor.2.2}{}}
\newlabel{exercice:2.3}{{2.3}{76}{}{tcb@cnt@exocor.2.3}{}}
\newlabel{exercice:2.4}{{2.4}{76}{}{tcb@cnt@exocor.2.4}{}}
\newlabel{exercice:2.5}{{2.5}{77}{}{tcb@cnt@exocor.2.5}{}}
\newlabel{exercice:2.6}{{2.6}{77}{}{tcb@cnt@exocor.2.6}{}}
\newlabel{exercice:2.7}{{2.7}{78}{}{tcb@cnt@exocor.2.7}{}}
\newlabel{exercice:2.8}{{2.8}{78}{}{tcb@cnt@exocor.2.8}{}}
\newlabel{exercice:2.9}{{2.9}{78}{}{tcb@cnt@exocor.2.9}{}}
\newlabel{exercice:2.10}{{2.10}{78}{}{tcb@cnt@exocor.2.10}{}}
\newlabel{exercice:2.11}{{2.11}{79}{}{tcb@cnt@exocor.2.11}{}}
\newlabel{exercice:2.12}{{2.12}{79}{}{tcb@cnt@exocor.2.12}{}}
\newlabel{exercice:2.13}{{2.13}{79}{}{tcb@cnt@exocor.2.13}{}}
\newlabel{exercice:2.14}{{2.14}{80}{}{tcb@cnt@exocor.2.14}{}}
\newlabel{exercice:2.15}{{2.15}{80}{}{tcb@cnt@exocor.2.15}{}}
\newlabel{exercice:2.16}{{2.16}{81}{}{tcb@cnt@exocor.2.16}{}}
\newlabel{exercice:2.17}{{2.17}{81}{}{tcb@cnt@exocor.2.17}{}}
\newlabel{exercice:2.18}{{2.18}{82}{}{tcb@cnt@exocor.2.18}{}}
\newlabel{exercice:2.19}{{2.19}{83}{}{tcb@cnt@exocor.2.19}{}}
\newlabel{exercice:2.20}{{2.20}{83}{}{tcb@cnt@exocor.2.20}{}}
\newlabel{exercice:2.21}{{2.21}{84}{}{tcb@cnt@exocor.2.21}{}}
\newlabel{exercice:2.22}{{2.22}{85}{}{tcb@cnt@exocor.2.22}{}}
\newlabel{exercice:2.23}{{2.23}{85}{}{tcb@cnt@exocor.2.23}{}}
\newlabel{exercice:2.24}{{2.24}{86}{}{tcb@cnt@exocor.2.24}{}}
\newlabel{exercice:2.25}{{2.25}{87}{}{tcb@cnt@exocor.2.25}{}}
\@writefile{toc}{\contentsline {section}{Corrigés des exercices}{88}{section*.43}\protected@file@percent }
\newlabel{solution:2.1}{{3}{88}{}{section*.44}{}}
\newlabel{solution:2.2}{{3}{89}{}{section*.45}{}}
\newlabel{solution:2.3}{{3}{91}{}{section*.46}{}}
\newlabel{solution:2.4}{{3}{92}{}{section*.47}{}}
\newlabel{deriv-eq-1}{{2.3}{92}{}{equation.2.3}{}}
\newlabel{deriv-eq-2}{{2.4}{92}{}{equation.2.4}{}}
\newlabel{solution:2.5}{{3}{93}{}{section*.48}{}}
\newlabel{solution:2.6}{{3}{94}{}{section*.49}{}}
\newlabel{solution:2.7}{{3}{95}{}{section*.50}{}}
\newlabel{solution:2.8}{{3}{95}{}{section*.51}{}}
\newlabel{solution:2.9}{{3}{97}{}{section*.52}{}}
\newlabel{solution:2.10}{{3}{99}{}{section*.53}{}}
\newlabel{solution:2.11}{{3}{101}{}{section*.54}{}}
\newlabel{rem:10}{{10}{101}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.10}{}}
\newlabel{solution:2.12}{{3}{102}{}{section*.55}{}}
\newlabel{solution:2.13}{{3}{103}{}{section*.56}{}}
\newlabel{solution:2.14}{{3}{104}{}{section*.57}{}}
\newlabel{rem:11}{{11}{105}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.11}{}}
\newlabel{solution:2.15}{{3}{106}{}{section*.58}{}}
\newlabel{solution:2.16}{{3}{107}{}{section*.59}{}}
\newlabel{solution:2.17}{{3}{107}{}{section*.60}{}}
\newlabel{solution:2.18}{{3}{108}{}{section*.61}{}}
\newlabel{solution:2.19}{{3}{110}{}{section*.62}{}}
\newlabel{solution:2.20}{{3}{111}{}{section*.63}{}}
\newlabel{solution:2.21}{{3}{112}{}{section*.64}{}}
\newlabel{solution:2.22}{{3}{113}{}{section*.65}{}}
\newlabel{solution:2.23}{{3}{115}{}{section*.66}{}}
\newlabel{solution:2.24}{{3}{115}{}{section*.67}{}}
\newlabel{solution:2.25}{{3}{117}{}{section*.68}{}}
\@writefile{toc}{\contentsline {chapter}{\numberline {3}Suites numériques}{119}{chapter.3}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{lof}{\contentsline {xchapter}{Suites numériques}{119}{chapter.3}\protected@file@percent }
\@writefile{lot}{\contentsline {xchapter}{Suites numériques}{119}{chapter.3}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {I}Rappels sur la méthode de Newton}{120}{section.3.1}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {II}Introduction}{120}{section.3.2}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Définition}{120}{subsection.3.2.1}\protected@file@percent }
\newlabel{exemple:3.23}{{23}{121}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.23}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Objectifs}{121}{subsection.3.2.2}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {3}Variations d'une suite}{121}{subsection.3.2.3}\protected@file@percent }
\newlabel{exemple:3.24}{{24}{122}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.24}{}}
\newlabel{rem:12}{{12}{122}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.12}{}}
\newlabel{exemple:3.25}{{25}{123}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.25}{}}
\newlabel{rem:13}{{13}{123}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.13}{}}
\newlabel{exemple:3.26}{{26}{123}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.26}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4}Majorants et minorants}{124}{subsection.3.2.4}\protected@file@percent }
\newlabel{exemple:3.27}{{27}{124}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.27}{}}
\@writefile{toc}{\contentsline {section}{\numberline {III}Suites arithmétiques}{124}{section.3.3}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Définition}{124}{subsection.3.3.1}\protected@file@percent }
\newlabel{exemple:3.28}{{28}{124}{\if \@empty suite arithmétique\else (suite arithmétique)\fi }{tcb@cnt@tcbexemple.28}{}}
\newlabel{exemple:suite arithmétique}{{28}{124}{\if \@empty suite arithmétique\else (suite arithmétique)\fi }{tcb@cnt@tcbexemple.28}{}}
\newlabel{rem:14}{{14}{125}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.14}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Variations}{125}{subsection.3.3.2}\protected@file@percent }
\newlabel{prop:3.14}{{14}{125}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.14}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3}Formule explicite}{125}{subsection.3.3.3}\protected@file@percent }
\newlabel{prop:3.15}{{15}{125}{\if \@empty terme général\else (terme général)\fi }{tcb@cnt@tcbprop.15}{}}
\newlabel{prop:terme général}{{15}{125}{\if \@empty terme général\else (terme général)\fi }{tcb@cnt@tcbprop.15}{}}
\newlabel{prop:3.16}{{16}{126}{\if \@empty cas particulier, en prenant $p=0$\else (cas particulier, en prenant $p=0$)\fi }{tcb@cnt@tcbprop.16}{}}
\newlabel{prop:cas particulier, en prenant $p=0$}{{16}{126}{\if \@empty cas particulier, en prenant $p=0$\else (cas particulier, en prenant $p=0$)\fi }{tcb@cnt@tcbprop.16}{}}
\newlabel{prop:3.17}{{17}{126}{\if \@empty cas particulier, en prenant $p=1$\else (cas particulier, en prenant $p=1$)\fi }{tcb@cnt@tcbprop.17}{}}
\newlabel{prop:cas particulier, en prenant $p=1$}{{17}{126}{\if \@empty cas particulier, en prenant $p=1$\else (cas particulier, en prenant $p=1$)\fi }{tcb@cnt@tcbprop.17}{}}
\newlabel{exemple:3.29}{{29}{126}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.29}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4}Représentation graphique}{126}{subsection.3.3.4}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {5}Somme des premiers termes}{127}{subsection.3.3.5}\protected@file@percent }
\@writefile{toc}{\contentsline {subsubsection}{\numberline {a}Somme des premiers entiers}{127}{subsubsection.3.3.5.1}\protected@file@percent }
\newlabel{prop:3.18}{{18}{128}{\if \@empty somme des premiers entiers\else (somme des premiers entiers)\fi }{tcb@cnt@tcbprop.18}{}}
\newlabel{prop:somme des premiers entiers}{{18}{128}{\if \@empty somme des premiers entiers\else (somme des premiers entiers)\fi }{tcb@cnt@tcbprop.18}{}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {b}Le symbole de sommation \@FB@og  $\DOTSB \sum@ \slimits@ $ \@FB@fg  \xspace  }{128}{subsubsection.3.3.5.2}\protected@file@percent }
\@writefile{toc}{\contentsline {subsubsection}{\numberline {c}Somme des premiers termes d'une suite arithmétique}{128}{subsubsection.3.3.5.3}\protected@file@percent }
\newlabel{prop:3.19}{{19}{128}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.19}{}}
\newlabel{prop:3.20}{{20}{129}{\if \@empty somme des premiers termes d'une suite arithmétique\else (somme des premiers termes d'une suite arithmétique)\fi }{tcb@cnt@tcbprop.20}{}}
\newlabel{prop:somme des premiers termes d'une suite arithmétique}{{20}{129}{\if \@empty somme des premiers termes d'une suite arithmétique\else (somme des premiers termes d'une suite arithmétique)\fi }{tcb@cnt@tcbprop.20}{}}
\newlabel{exemple:3.30}{{30}{129}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.30}{}}
\@writefile{toc}{\contentsline {section}{\numberline {IV}Suites géométriques}{130}{section.3.4}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Définition}{130}{subsection.3.4.1}\protected@file@percent }
\newlabel{exemple:3.31}{{31}{130}{\if \@empty suite géométrique\else (suite géométrique)\fi }{tcb@cnt@tcbexemple.31}{}}
\newlabel{exemple:suite géométrique}{{31}{130}{\if \@empty suite géométrique\else (suite géométrique)\fi }{tcb@cnt@tcbexemple.31}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Formule explicite}{130}{subsection.3.4.2}\protected@file@percent }
\newlabel{prop:3.21}{{21}{130}{\if \@empty terme général d'une suite géométrique\else (terme général d'une suite géométrique)\fi }{tcb@cnt@tcbprop.21}{}}
\newlabel{prop:terme général d'une suite géométrique}{{21}{130}{\if \@empty terme général d'une suite géométrique\else (terme général d'une suite géométrique)\fi }{tcb@cnt@tcbprop.21}{}}
\newlabel{prop:3.22}{{22}{131}{\if \@empty cas où $p=0$\else (cas où $p=0$)\fi }{tcb@cnt@tcbprop.22}{}}
\newlabel{prop:cas où $p=0$}{{22}{131}{\if \@empty cas où $p=0$\else (cas où $p=0$)\fi }{tcb@cnt@tcbprop.22}{}}
\newlabel{prop:3.23}{{23}{131}{\if \@empty cas où $p=1$\else (cas où $p=1$)\fi }{tcb@cnt@tcbprop.23}{}}
\newlabel{prop:cas où $p=1$}{{23}{131}{\if \@empty cas où $p=1$\else (cas où $p=1$)\fi }{tcb@cnt@tcbprop.23}{}}
\newlabel{exemple:3.32}{{32}{131}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.32}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3}Représentation graphique}{131}{subsection.3.4.3}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {4}Somme des premiers termes}{132}{subsection.3.4.4}\protected@file@percent }
\newlabel{prop:3.24}{{24}{132}{\if \@empty somme des premières puissances\else (somme des premières puissances)\fi }{tcb@cnt@tcbprop.24}{}}
\newlabel{prop:somme des premières puissances}{{24}{132}{\if \@empty somme des premières puissances\else (somme des premières puissances)\fi }{tcb@cnt@tcbprop.24}{}}
\newlabel{prop:3.25}{{25}{132}{\if \@empty somme des premiers termes d'une suite géométrique\else (somme des premiers termes d'une suite géométrique)\fi }{tcb@cnt@tcbprop.25}{}}
\newlabel{prop:somme des premiers termes d'une suite géométrique}{{25}{132}{\if \@empty somme des premiers termes d'une suite géométrique\else (somme des premiers termes d'une suite géométrique)\fi }{tcb@cnt@tcbprop.25}{}}
\@writefile{toc}{\contentsline {section}{\numberline {V}Algorithmes}{133}{section.3.5}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Suites arithmétiques}{133}{subsection.3.5.1}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Suites géométriques}{134}{subsection.3.5.2}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {VI}Pour aller plus loin : autres types de suites}{136}{section.3.6}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{Enoncés}{141}{section*.71}\protected@file@percent }
\newlabel{exercice:3.1}{{3.1}{141}{}{tcb@cnt@exocor.3.1}{}}
\newlabel{exercice:3.2}{{3.2}{141}{}{tcb@cnt@exocor.3.2}{}}
\newlabel{exercice:3.3}{{3.3}{141}{}{tcb@cnt@exocor.3.3}{}}
\newlabel{exercice:3.4}{{3.4}{142}{}{tcb@cnt@exocor.3.4}{}}
\newlabel{exercice:3.5}{{3.5}{142}{}{tcb@cnt@exocor.3.5}{}}
\newlabel{exercice:3.6}{{3.6}{142}{}{tcb@cnt@exocor.3.6}{}}
\newlabel{exercice:3.7}{{3.7}{142}{}{tcb@cnt@exocor.3.7}{}}
\newlabel{exercice:3.8}{{3.8}{143}{}{tcb@cnt@exocor.3.8}{}}
\newlabel{exercice:3.9}{{3.9}{143}{}{tcb@cnt@exocor.3.9}{}}
\newlabel{exercice:3.10}{{3.10}{143}{}{tcb@cnt@exocor.3.10}{}}
\newlabel{exercice:3.11}{{3.11}{143}{}{tcb@cnt@exocor.3.11}{}}
\newlabel{exercice:3.12}{{3.12}{144}{}{tcb@cnt@exocor.3.12}{}}
\newlabel{exercice:3.13}{{3.13}{144}{}{tcb@cnt@exocor.3.13}{}}
\newlabel{exercice:3.14}{{3.14}{145}{}{tcb@cnt@exocor.3.14}{}}
\newlabel{exercice:3.15}{{3.15}{146}{}{tcb@cnt@exocor.3.15}{}}
\newlabel{exercice:3.16}{{3.16}{146}{}{tcb@cnt@exocor.3.16}{}}
\newlabel{exercice:3.17}{{3.17}{146}{}{tcb@cnt@exocor.3.17}{}}
\newlabel{exercice:3.18}{{3.18}{147}{}{tcb@cnt@exocor.3.18}{}}
\newlabel{exercice:3.19}{{3.19}{147}{}{tcb@cnt@exocor.3.19}{}}
\newlabel{exercice:3.20}{{3.20}{147}{}{tcb@cnt@exocor.3.20}{}}
\newlabel{exercice:3.21}{{3.21}{148}{}{tcb@cnt@exocor.3.21}{}}
\newlabel{exercice:3.22}{{3.22}{149}{}{tcb@cnt@exocor.3.22}{}}
\newlabel{exercice:3.23}{{3.23}{149}{}{tcb@cnt@exocor.3.23}{}}
\newlabel{exercice:3.24}{{3.24}{150}{}{tcb@cnt@exocor.3.24}{}}
\newlabel{exercice:3.25}{{3.25}{150}{}{tcb@cnt@exocor.3.25}{}}
\newlabel{exercice:3.26}{{3.26}{151}{}{tcb@cnt@exocor.3.26}{}}
\newlabel{exercice:3.27}{{3.27}{152}{}{tcb@cnt@exocor.3.27}{}}
\newlabel{exercice:3.28}{{3.28}{153}{}{tcb@cnt@exocor.3.28}{}}
\newlabel{exercice:3.29}{{3.29}{153}{}{tcb@cnt@exocor.3.29}{}}
\newlabel{exercice:3.30}{{3.30}{154}{}{tcb@cnt@exocor.3.30}{}}
\newlabel{exercice:3.31}{{3.31}{155}{}{tcb@cnt@exocor.3.31}{}}
\newlabel{exercice:3.32}{{3.32}{156}{}{tcb@cnt@exocor.3.32}{}}
\newlabel{exercice:3.33}{{3.33}{156}{}{tcb@cnt@exocor.3.33}{}}
\newlabel{exercice:3.34}{{3.34}{157}{}{tcb@cnt@exocor.3.34}{}}
\newlabel{exercice:3.35}{{3.35}{157}{}{tcb@cnt@exocor.3.35}{}}
\newlabel{rem:18}{{18}{158}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.18}{}}
\newlabel{exercice:3.36}{{3.36}{158}{}{tcb@cnt@exocor.3.36}{}}
\newlabel{exercice:3.37}{{3.37}{158}{}{tcb@cnt@exocor.3.37}{}}
\newlabel{exercice:3.38}{{3.38}{158}{}{tcb@cnt@exocor.3.38}{}}
\@writefile{toc}{\contentsline {section}{Corrigés des exercices}{159}{section*.72}\protected@file@percent }
\newlabel{solution:3.1}{{VI}{159}{}{section*.73}{}}
\newlabel{solution:3.2}{{VI}{160}{}{section*.74}{}}
\newlabel{solution:3.3}{{VI}{160}{}{section*.75}{}}
\newlabel{solution:3.4}{{VI}{161}{}{section*.76}{}}
\newlabel{solution:3.5}{{VI}{161}{}{section*.77}{}}
\newlabel{solution:3.6}{{VI}{162}{}{section*.78}{}}
\newlabel{solution:3.7}{{VI}{162}{}{section*.79}{}}
\newlabel{solution:3.8}{{VI}{164}{}{section*.80}{}}
\newlabel{solution:3.9}{{VI}{165}{}{section*.81}{}}
\newlabel{solution:3.10}{{VI}{166}{}{section*.82}{}}
\newlabel{solution:3.11}{{VI}{167}{}{section*.83}{}}
\newlabel{solution:3.12}{{VI}{168}{}{section*.84}{}}
\newlabel{solution:3.13}{{VI}{169}{}{section*.85}{}}
\newlabel{rem:20}{{20}{170}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.20}{}}
\newlabel{solution:3.14}{{VI}{171}{}{section*.86}{}}
\newlabel{solution:3.15}{{VI}{172}{}{section*.87}{}}
\newlabel{solution:3.16}{{VI}{173}{}{section*.88}{}}
\newlabel{solution:3.17}{{VI}{174}{}{section*.89}{}}
\newlabel{solution:3.18}{{VI}{175}{}{section*.90}{}}
\newlabel{solution:3.19}{{VI}{175}{}{section*.91}{}}
\newlabel{solution:3.20}{{VI}{176}{}{section*.92}{}}
\newlabel{solution:3.21}{{VI}{177}{}{section*.93}{}}
\newlabel{solution:3.22}{{VI}{178}{}{section*.94}{}}
\newlabel{solution:3.23}{{VI}{179}{}{section*.95}{}}
\newlabel{rem:21}{{21}{179}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.21}{}}
\newlabel{rem:22}{{22}{179}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.22}{}}
\newlabel{solution:3.24}{{VI}{182}{}{section*.96}{}}
\newlabel{solution:3.25}{{VI}{183}{}{section*.97}{}}
\newlabel{solution:3.26}{{VI}{184}{}{section*.98}{}}
\newlabel{solution:3.27}{{VI}{185}{}{section*.99}{}}
\newlabel{solution:3.28}{{VI}{187}{}{section*.100}{}}
\newlabel{solution:3.29}{{VI}{188}{}{section*.101}{}}
\newlabel{solution:3.30}{{VI}{190}{}{section*.102}{}}
\newlabel{solution:3.31}{{VI}{191}{}{section*.103}{}}
\newlabel{solution:3.32}{{VI}{192}{}{section*.104}{}}
\newlabel{solution:3.33}{{VI}{193}{}{section*.105}{}}
\newlabel{solution:3.34}{{VI}{194}{}{section*.106}{}}
\newlabel{solution:3.35}{{VI}{196}{}{section*.107}{}}
\newlabel{q1-03-suites-20}{{{{\fcolorbox {numpagecorrige}{numpagecorrige}{1}}}}{196}{}{Item.1106}{}}
\newlabel{q1a-03-suites-20}{{{{\textcolor {numpagecorrige}{a.}}}}{196}{}{Item.1107}{}}
\newlabel{solution:3.36}{{VI}{197}{}{section*.108}{}}
\newlabel{solution:3.37}{{VI}{198}{}{section*.109}{}}
\newlabel{solution:3.38}{{VI}{199}{}{section*.110}{}}
\newlabel{rem:23}{{23}{199}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.23}{}}
\@writefile{toc}{\contentsline {chapter}{\numberline {4}La fonction exponentielle}{200}{chapter.4}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{lof}{\contentsline {xchapter}{La fonction exponentielle}{200}{chapter.4}\protected@file@percent }
\@writefile{lot}{\contentsline {xchapter}{La fonction exponentielle}{200}{chapter.4}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {I}Première approche}{201}{section.4.1}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Notre objectif}{201}{subsection.4.1.1}\protected@file@percent }
\newlabel{fctexp1}{{{{\fcolorbox {titrecolor}{titrecolor}{1}}}}{201}{Notre objectif}{Item.1120}{}}
\newlabel{fctexp2}{{{{\fcolorbox {titrecolor}{titrecolor}{2}}}}{201}{Notre objectif}{Item.1121}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}La méthode d'Euler}{201}{subsection.4.1.2}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {II}Définition}{203}{section.4.2}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Unicité de la fonction exponentielle}{203}{subsection.4.2.1}\protected@file@percent }
\newlabel{prop:4.26}{{26}{203}{\if \@empty fondamentale\else (fondamentale)\fi }{tcb@cnt@tcbprop.26}{}}
\newlabel{prop:fondamentale}{{26}{203}{\if \@empty fondamentale\else (fondamentale)\fi }{tcb@cnt@tcbprop.26}{}}
\newlabel{thm:4.1}{{1}{204}{\if \@empty \else ()\fi }{tcb@cnt@tcbtheorem.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Définition}{204}{subsection.4.2.2}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {III}Relations fonctionnelles}{205}{section.4.3}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Image d'un opposé}{205}{subsection.4.3.1}\protected@file@percent }
\newlabel{prop:4.27}{{27}{205}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.27}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Image d'une somme}{205}{subsection.4.3.2}\protected@file@percent }
\newlabel{prop:4.28}{{28}{205}{\if \@empty exponentielle d'une somme\else (exponentielle d'une somme)\fi }{tcb@cnt@tcbprop.28}{}}
\newlabel{prop:exponentielle d'une somme}{{28}{205}{\if \@empty exponentielle d'une somme\else (exponentielle d'une somme)\fi }{tcb@cnt@tcbprop.28}{}}
\newlabel{prop:4.29}{{29}{205}{\if \@empty exponentielle d'une différence\else (exponentielle d'une différence)\fi }{tcb@cnt@tcbprop.29}{}}
\newlabel{prop:exponentielle d'une différence}{{29}{205}{\if \@empty exponentielle d'une différence\else (exponentielle d'une différence)\fi }{tcb@cnt@tcbprop.29}{}}
\@writefile{toc}{\contentsline {section}{\numberline {IV}Notation ${\rm  e}^x$}{206}{section.4.4}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Le nombre e}{206}{subsection.4.4.1}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Vers la notation simplifiée}{207}{subsection.4.4.2}\protected@file@percent }
\newlabel{prop:4.30}{{30}{207}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.30}{}}
\@writefile{toc}{\contentsline {section}{\numberline {V}La suite $({\rm  e}^{na})$, $a$ réel}{207}{section.4.5}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}La suite est géométrique}{207}{subsection.4.5.1}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Expression du terme général}{208}{subsection.4.5.2}\protected@file@percent }
\newlabel{prop:4.31}{{31}{208}{\if \@empty puissance d'une exponentielle\else (puissance d'une exponentielle)\fi }{tcb@cnt@tcbprop.31}{}}
\newlabel{prop:puissance d'une exponentielle}{{31}{208}{\if \@empty puissance d'une exponentielle\else (puissance d'une exponentielle)\fi }{tcb@cnt@tcbprop.31}{}}
\@writefile{toc}{\contentsline {section}{\numberline {VI}\'Etude de la fonction $x\DOTSB \mapstochar \rightarrow {\rm  e}^x$}{208}{section.4.6}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Positivité}{208}{subsection.4.6.1}\protected@file@percent }
\newlabel{prop:4.32}{{32}{208}{\if \@empty positivité\else (positivité)\fi }{tcb@cnt@tcbprop.32}{}}
\newlabel{prop:positivité}{{32}{208}{\if \@empty positivité\else (positivité)\fi }{tcb@cnt@tcbprop.32}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Sens de variation}{209}{subsection.4.6.2}\protected@file@percent }
\newlabel{prop:4.33}{{33}{209}{\if \@empty croissance de la fonction exponentielle\else (croissance de la fonction exponentielle)\fi }{tcb@cnt@tcbprop.33}{}}
\newlabel{prop:croissance de la fonction exponentielle}{{33}{209}{\if \@empty croissance de la fonction exponentielle\else (croissance de la fonction exponentielle)\fi }{tcb@cnt@tcbprop.33}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3}Courbe représentative}{209}{subsection.4.6.3}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {4}Propriétés de bijectivité}{210}{subsection.4.6.4}\protected@file@percent }
\newlabel{prop:4.34}{{34}{210}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.34}{}}
\@writefile{toc}{\contentsline {section}{\numberline {VII}\'Etude des fonctions $x\DOTSB \mapstochar \rightarrow {\rm  e}^{kx}$}{210}{section.4.7}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Variations}{210}{subsection.4.7.1}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Représentations graphiques}{210}{subsection.4.7.2}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {3}Domaines où l'on rencontre l'exponentielle}{211}{subsection.4.7.3}\protected@file@percent }
\newlabel{rem:24}{{24}{212}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.24}{}}
\@writefile{toc}{\contentsline {section}{Enoncés}{213}{section*.111}\protected@file@percent }
\newlabel{exercice:4.1}{{4.1}{213}{}{tcb@cnt@exocor.4.1}{}}
\newlabel{exercice:4.2}{{4.2}{213}{}{tcb@cnt@exocor.4.2}{}}
\newlabel{exercice:4.3}{{4.3}{213}{}{tcb@cnt@exocor.4.3}{}}
\newlabel{exercice:4.4}{{4.4}{213}{}{tcb@cnt@exocor.4.4}{}}
\newlabel{exercice:4.5}{{4.5}{214}{}{tcb@cnt@exocor.4.5}{}}
\newlabel{exercice:4.6}{{4.6}{214}{}{tcb@cnt@exocor.4.6}{}}
\newlabel{exercice:4.7}{{4.7}{214}{}{tcb@cnt@exocor.4.7}{}}
\newlabel{exercice:4.8}{{4.8}{214}{}{tcb@cnt@exocor.4.8}{}}
\newlabel{exercice:4.9}{{4.9}{214}{}{tcb@cnt@exocor.4.9}{}}
\newlabel{exercice:4.10}{{4.10}{215}{}{tcb@cnt@exocor.4.10}{}}
\newlabel{exercice:4.11}{{4.11}{215}{}{tcb@cnt@exocor.4.11}{}}
\newlabel{exercice:4.12}{{4.12}{215}{}{tcb@cnt@exocor.4.12}{}}
\newlabel{exercice:4.13}{{4.13}{215}{}{tcb@cnt@exocor.4.13}{}}
\newlabel{exercice:4.14}{{4.14}{216}{}{tcb@cnt@exocor.4.14}{}}
\newlabel{exercice:4.15}{{4.15}{217}{}{tcb@cnt@exocor.4.15}{}}
\newlabel{exercice:4.16}{{4.16}{217}{}{tcb@cnt@exocor.4.16}{}}
\newlabel{exp09}{{{{\fcolorbox {numpageenonce}{numpageenonce}{2}}}}{217}{}{Item.1222}{}}
\newlabel{exercice:4.17}{{4.17}{218}{}{tcb@cnt@exocor.4.17}{}}
\newlabel{exercice:4.18}{{4.18}{218}{}{tcb@cnt@exocor.4.18}{}}
\newlabel{exercice:4.19}{{4.19}{219}{}{tcb@cnt@exocor.4.19}{}}
\newlabel{exercice:4.20}{{4.20}{219}{}{tcb@cnt@exocor.4.20}{}}
\newlabel{exercice:4.21}{{4.21}{220}{}{tcb@cnt@exocor.4.21}{}}
\newlabel{exercice:4.22}{{4.22}{221}{}{tcb@cnt@exocor.4.22}{}}
\newlabel{exercice:4.23}{{4.23}{221}{}{tcb@cnt@exocor.4.23}{}}
\newlabel{exercice:4.24}{{4.24}{222}{}{tcb@cnt@exocor.4.24}{}}
\newlabel{exercice:4.25}{{4.25}{222}{}{tcb@cnt@exocor.4.25}{}}
\newlabel{exercice:4.26}{{4.26}{222}{}{tcb@cnt@exocor.4.26}{}}
\@writefile{toc}{\contentsline {section}{Corrigés des exercices}{223}{section*.113}\protected@file@percent }
\newlabel{solution:4.1}{{3}{223}{}{section*.114}{}}
\newlabel{solution:4.2}{{3}{223}{}{section*.115}{}}
\newlabel{solution:4.3}{{3}{223}{}{section*.116}{}}
\newlabel{solution:4.4}{{3}{224}{}{section*.117}{}}
\newlabel{solution:4.5}{{3}{225}{}{section*.118}{}}
\newlabel{solution:4.6}{{3}{226}{}{section*.119}{}}
\newlabel{solution:4.7}{{3}{226}{}{section*.120}{}}
\newlabel{solution:4.8}{{3}{227}{}{section*.121}{}}
\newlabel{solution:4.9}{{3}{227}{}{section*.122}{}}
\newlabel{solution:4.10}{{3}{228}{}{section*.123}{}}
\newlabel{rem:28}{{28}{228}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.28}{}}
\newlabel{solution:4.11}{{3}{228}{}{section*.124}{}}
\newlabel{solution:4.12}{{3}{229}{}{section*.125}{}}
\newlabel{solution:4.13}{{3}{229}{}{section*.126}{}}
\newlabel{rem:29}{{29}{230}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.29}{}}
\newlabel{solution:4.14}{{3}{230}{}{section*.127}{}}
\newlabel{solution:4.15}{{3}{230}{}{section*.128}{}}
\newlabel{solution:4.16}{{3}{231}{}{section*.129}{}}
\newlabel{solution:4.17}{{3}{232}{}{section*.130}{}}
\newlabel{solution:4.18}{{3}{233}{}{section*.131}{}}
\newlabel{solution:4.19}{{3}{234}{}{section*.132}{}}
\newlabel{solution:4.20}{{3}{234}{}{section*.133}{}}
\newlabel{rem:30}{{30}{235}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.30}{}}
\newlabel{solution:4.21}{{3}{235}{}{section*.134}{}}
\newlabel{solution:4.22}{{3}{237}{}{section*.135}{}}
\newlabel{solution:4.23}{{3}{238}{}{section*.136}{}}
\newlabel{solution:4.24}{{3}{239}{}{section*.137}{}}
\newlabel{solution:4.25}{{3}{239}{}{section*.138}{}}
\newlabel{solution:4.26}{{3}{240}{}{section*.139}{}}
\@writefile{toc}{\contentsline {chapter}{\numberline {5}Trigonométrie}{241}{chapter.5}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{lof}{\contentsline {xchapter}{Trigonométrie}{241}{chapter.5}\protected@file@percent }
\@writefile{lot}{\contentsline {xchapter}{Trigonométrie}{241}{chapter.5}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {I}Cercle trigonométrique}{242}{section.5.1}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Définitions et représentation}{242}{subsection.5.1.1}\protected@file@percent }
\newlabel{exemple:5.33}{{33}{242}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.33}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Radians}{243}{subsection.5.1.2}\protected@file@percent }
\newlabel{prop:5.35}{{35}{243}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.35}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3}Valeurs remarquables}{244}{subsection.5.1.3}\protected@file@percent }
\newlabel{exemple:5.34}{{34}{244}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.34}{}}
\@writefile{toc}{\contentsline {section}{\numberline {II}Sinus et cosinus}{245}{section.5.2}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Définitions}{245}{subsection.5.2.1}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Propriété fondamentale}{245}{subsection.5.2.2}\protected@file@percent }
\newlabel{prop:5.36}{{36}{245}{\if \@empty fondamentale trigonométrique\else (fondamentale trigonométrique)\fi }{tcb@cnt@tcbprop.36}{}}
\newlabel{prop:fondamentale trigonométrique}{{36}{245}{\if \@empty fondamentale trigonométrique\else (fondamentale trigonométrique)\fi }{tcb@cnt@tcbprop.36}{}}
\newlabel{rem:31}{{31}{245}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.31}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3}Sinus et cosinus des angles remarquables}{246}{subsection.5.2.3}\protected@file@percent }
\newlabel{prop:5.37}{{37}{246}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.37}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4}Lien avec le sinus et le cosinus dans un triangle rectangle}{248}{subsection.5.2.4}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {III}Fonctions sinus et cosinus}{249}{section.5.3}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Parité}{249}{subsection.5.3.1}\protected@file@percent }
\newlabel{prop:5.38}{{38}{249}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.38}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Périodicité}{250}{subsection.5.3.2}\protected@file@percent }
\newlabel{prop:5.39}{{39}{250}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.39}{}}
\newlabel{rem:32}{{32}{250}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.32}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3}Courbes représentatives}{250}{subsection.5.3.3}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{Enoncés}{252}{section*.140}\protected@file@percent }
\newlabel{exercice:5.1}{{5.1}{252}{}{tcb@cnt@exocor.5.1}{}}
\newlabel{exercice:5.2}{{5.2}{252}{}{tcb@cnt@exocor.5.2}{}}
\newlabel{exercice:5.3}{{5.3}{252}{}{tcb@cnt@exocor.5.3}{}}
\newlabel{exercice:5.4}{{5.4}{253}{}{tcb@cnt@exocor.5.4}{}}
\newlabel{exercice:5.5}{{5.5}{253}{}{tcb@cnt@exocor.5.5}{}}
\newlabel{exercice:5.6}{{5.6}{253}{}{tcb@cnt@exocor.5.6}{}}
\newlabel{exercice:5.7}{{5.7}{253}{}{tcb@cnt@exocor.5.7}{}}
\newlabel{exercice:5.8}{{5.8}{254}{}{tcb@cnt@exocor.5.8}{}}
\newlabel{exercice:5.9}{{5.9}{254}{}{tcb@cnt@exocor.5.9}{}}
\newlabel{exercice:5.10}{{5.10}{254}{}{tcb@cnt@exocor.5.10}{}}
\newlabel{exercice:5.11}{{5.11}{254}{}{tcb@cnt@exocor.5.11}{}}
\newlabel{exercice:5.12}{{5.12}{254}{}{tcb@cnt@exocor.5.12}{}}
\newlabel{exercice:5.13}{{5.13}{255}{}{tcb@cnt@exocor.5.13}{}}
\newlabel{exercice:5.14}{{5.14}{255}{}{tcb@cnt@exocor.5.14}{}}
\newlabel{exercice:5.15}{{5.15}{255}{}{tcb@cnt@exocor.5.15}{}}
\newlabel{exercice:5.16}{{5.16}{255}{}{tcb@cnt@exocor.5.16}{}}
\newlabel{exercice:5.17}{{5.17}{255}{}{tcb@cnt@exocor.5.17}{}}
\newlabel{exercice:5.18}{{5.18}{256}{}{tcb@cnt@exocor.5.18}{}}
\newlabel{exercice:5.19}{{5.19}{256}{}{tcb@cnt@exocor.5.19}{}}
\newlabel{exercice:5.20}{{5.20}{256}{}{tcb@cnt@exocor.5.20}{}}
\newlabel{trigoq2aexqcm}{{{{\textcolor {numpageenonce}{a.}}}}{257}{}{Item.1489}{}}
\newlabel{trigoq3aexqcm}{{{{\textcolor {numpageenonce}{c.}}}}{257}{}{Item.1496}{}}
\newlabel{trigoq4aexqcm}{{{{\textcolor {numpageenonce}{a.}}}}{257}{}{Item.1499}{}}
\newlabel{trigoq5bexqcm}{{{{\textcolor {numpageenonce}{b.}}}}{257}{}{Item.1505}{}}
\newlabel{trigoq6bexqcm}{{{{\textcolor {numpageenonce}{b.}}}}{257}{}{Item.1510}{}}
\newlabel{trigoq7bexqcm}{{{{\textcolor {numpageenonce}{b.}}}}{257}{}{Item.1515}{}}
\newlabel{trigoq8dexqcm}{{{{\textcolor {numpageenonce}{d.}}}}{257}{}{Item.1522}{}}
\newlabel{trigoq9dexqcm}{{{{\textcolor {numpageenonce}{b.}}}}{258}{}{Item.1525}{}}
\newlabel{trigoq10dexqcm}{{{{\textcolor {numpageenonce}{a.}}}}{258}{}{Item.1529}{}}
\newlabel{trigoq11dexqcm}{{{{\textcolor {numpageenonce}{c.}}}}{258}{}{Item.1536}{}}
\newlabel{trigoq12dexqcm}{{{{\textcolor {numpageenonce}{b.}}}}{258}{}{Item.1540}{}}
\newlabel{trigoq13aexqcm}{{{{\textcolor {numpageenonce}{a.}}}}{258}{}{Item.1544}{}}
\newlabel{trigoq14aexqcm}{{{{\textcolor {numpageenonce}{a.}}}}{258}{}{Item.1549}{}}
\newlabel{trigoq15bexqcm}{{{{\textcolor {numpageenonce}{b.}}}}{258}{}{Item.1555}{}}
\newlabel{exercice:5.21}{{5.21}{259}{}{tcb@cnt@exocor.5.21}{}}
\newlabel{exercice:5.22}{{5.22}{259}{}{tcb@cnt@exocor.5.22}{}}
\@writefile{toc}{\contentsline {section}{Corrigés des exercices}{261}{section*.142}\protected@file@percent }
\newlabel{solution:5.1}{{3}{261}{}{section*.143}{}}
\newlabel{solution:5.2}{{3}{261}{}{section*.144}{}}
\newlabel{solution:5.3}{{3}{261}{}{section*.145}{}}
\newlabel{solution:5.4}{{3}{261}{}{section*.146}{}}
\newlabel{solution:5.5}{{3}{262}{}{section*.147}{}}
\newlabel{solution:5.6}{{3}{262}{}{section*.148}{}}
\newlabel{solution:5.7}{{3}{262}{}{section*.149}{}}
\newlabel{solution:5.8}{{3}{264}{}{section*.150}{}}
\newlabel{solution:5.9}{{3}{265}{}{section*.151}{}}
\newlabel{solution:5.10}{{3}{265}{}{section*.152}{}}
\newlabel{solution:5.11}{{3}{265}{}{section*.153}{}}
\newlabel{solution:5.12}{{3}{266}{}{section*.154}{}}
\newlabel{solution:5.13}{{3}{267}{}{section*.155}{}}
\newlabel{solution:5.14}{{3}{267}{}{section*.156}{}}
\newlabel{solution:5.15}{{3}{267}{}{section*.157}{}}
\newlabel{solution:5.16}{{3}{268}{}{section*.158}{}}
\newlabel{solution:5.17}{{3}{269}{}{section*.159}{}}
\newlabel{solution:5.18}{{3}{269}{}{section*.160}{}}
\newlabel{solution:5.19}{{3}{269}{}{section*.161}{}}
\newlabel{solution:5.20}{{3}{271}{}{section*.162}{}}
\newlabel{solution:5.21}{{3}{274}{}{section*.163}{}}
\newlabel{solution:5.22}{{3}{276}{}{section*.164}{}}
\@writefile{toc}{\contentsline {chapter}{\numberline {6}Produit scalaire}{277}{chapter.6}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{lof}{\contentsline {xchapter}{Produit scalaire}{277}{chapter.6}\protected@file@percent }
\@writefile{lot}{\contentsline {xchapter}{Produit scalaire}{277}{chapter.6}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {I}Géométrie non repérée}{278}{section.6.1}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Définition du produit scalaire}{278}{subsection.6.1.1}\protected@file@percent }
\newlabel{exemple:6.35}{{35}{278}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.35}{}}
\newlabel{rem:33}{{33}{278}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.33}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Orthogonalité de deux vecteurs}{278}{subsection.6.1.2}\protected@file@percent }
\newlabel{prop:6.40}{{40}{278}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.40}{}}
\newlabel{exemple:6.36}{{36}{279}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.36}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3}Produit scalaire et projetés orthogonaux}{279}{subsection.6.1.3}\protected@file@percent }
\newlabel{prop:6.41}{{41}{279}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.41}{}}
\newlabel{exemple:6.37}{{37}{280}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.37}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4}Propriétés algébriques du produit scalaire}{281}{subsection.6.1.4}\protected@file@percent }
\@writefile{toc}{\contentsline {subsubsection}{\numberline {a}Distributivité}{281}{subsubsection.6.1.4.1}\protected@file@percent }
\newlabel{prop:6.42}{{42}{281}{\if \@empty distributivité du produit scalaire\else (distributivité du produit scalaire)\fi }{tcb@cnt@tcbprop.42}{}}
\newlabel{prop:distributivité du produit scalaire}{{42}{281}{\if \@empty distributivité du produit scalaire\else (distributivité du produit scalaire)\fi }{tcb@cnt@tcbprop.42}{}}
\newlabel{exemple:6.38}{{38}{281}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.38}{}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {b}Symétrie (commutativité)}{282}{subsubsection.6.1.4.2}\protected@file@percent }
\newlabel{prop:6.43}{{43}{282}{\if \@empty commutativité du produit scalaire\else (commutativité du produit scalaire)\fi }{tcb@cnt@tcbprop.43}{}}
\newlabel{prop:commutativité du produit scalaire}{{43}{282}{\if \@empty commutativité du produit scalaire\else (commutativité du produit scalaire)\fi }{tcb@cnt@tcbprop.43}{}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {c}Bilinéarité}{282}{subsubsection.6.1.4.3}\protected@file@percent }
\newlabel{prop:6.44}{{44}{282}{\if \@empty résultat intermédiaire\else (résultat intermédiaire)\fi }{tcb@cnt@tcbprop.44}{}}
\newlabel{prop:résultat intermédiaire}{{44}{282}{\if \@empty résultat intermédiaire\else (résultat intermédiaire)\fi }{tcb@cnt@tcbprop.44}{}}
\newlabel{prop:6.45}{{45}{283}{\if \@empty bilinéarité du produit scalaire\else (bilinéarité du produit scalaire)\fi }{tcb@cnt@tcbprop.45}{}}
\newlabel{prop:bilinéarité du produit scalaire}{{45}{283}{\if \@empty bilinéarité du produit scalaire\else (bilinéarité du produit scalaire)\fi }{tcb@cnt@tcbprop.45}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5}Identités avec les normes}{283}{subsection.6.1.5}\protected@file@percent }
\newlabel{prop:6.46}{{46}{283}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.46}{}}
\newlabel{prop:6.47}{{47}{283}{\if \@empty identités avec des normes\else (identités avec des normes)\fi }{tcb@cnt@tcbprop.47}{}}
\newlabel{prop:identités avec des normes}{{47}{283}{\if \@empty identités avec des normes\else (identités avec des normes)\fi }{tcb@cnt@tcbprop.47}{}}
\newlabel{exemple:6.39}{{39}{284}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.39}{}}
\@writefile{toc}{\contentsline {section}{\numberline {II}Géométrie repérée}{285}{section.6.2}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Calcul du produit scalaire}{285}{subsection.6.2.1}\protected@file@percent }
\newlabel{prop:6.48}{{48}{285}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.48}{}}
\newlabel{exemple:6.40}{{40}{286}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.40}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Application pour trouver la mesure d'un angle}{286}{subsection.6.2.2}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{Enoncés}{287}{section*.165}\protected@file@percent }
\newlabel{exercice:6.1}{{6.1}{287}{}{tcb@cnt@exocor.6.1}{}}
\newlabel{prodscalexoqcm1a}{{{{\textcolor {numpageenonce}{a.}}}}{287}{}{Item.1702}{}}
\newlabel{prodscalexoqcm2c}{{{{\textcolor {numpageenonce}{c.}}}}{287}{}{Item.1709}{}}
\newlabel{prodscalexoqcm3d}{{{{\textcolor {numpageenonce}{d.}}}}{287}{}{Item.1715}{}}
\newlabel{prodscalexoqcm4d}{{{{\textcolor {numpageenonce}{d.}}}}{287}{}{Item.1720}{}}
\newlabel{exercice:6.2}{{6.2}{287}{}{tcb@cnt@exocor.6.2}{}}
\newlabel{exercice:6.3}{{6.3}{288}{}{tcb@cnt@exocor.6.3}{}}
\newlabel{exercice:6.4}{{6.4}{288}{}{tcb@cnt@exocor.6.4}{}}
\newlabel{exercice:6.5}{{6.5}{288}{}{tcb@cnt@exocor.6.5}{}}
\newlabel{exercice:6.6}{{6.6}{289}{}{tcb@cnt@exocor.6.6}{}}
\newlabel{exercice:6.7}{{6.7}{289}{}{tcb@cnt@exocor.6.7}{}}
\newlabel{exercice:6.8}{{6.8}{290}{}{tcb@cnt@exocor.6.8}{}}
\newlabel{exercice:6.9}{{6.9}{290}{}{tcb@cnt@exocor.6.9}{}}
\newlabel{exercice:6.10}{{6.10}{290}{}{tcb@cnt@exocor.6.10}{}}
\newlabel{exercice:6.11}{{6.11}{290}{}{tcb@cnt@exocor.6.11}{}}
\newlabel{exercice:6.12}{{6.12}{291}{}{tcb@cnt@exocor.6.12}{}}
\newlabel{exercice:6.13}{{6.13}{291}{}{tcb@cnt@exocor.6.13}{}}
\newlabel{exercice:6.14}{{6.14}{292}{}{tcb@cnt@exocor.6.14}{}}
\newlabel{prodscalexoqcm2q1a}{{{{\textcolor {numpageenonce}{a.}}}}{292}{}{Item.1810}{}}
\newlabel{prodscalexoqcm2q2b}{{{{\textcolor {numpageenonce}{b.}}}}{292}{}{Item.1816}{}}
\newlabel{prodscalexoqcm2q3b}{{{{\textcolor {numpageenonce}{b.}}}}{292}{}{Item.1821}{}}
\newlabel{prodscalexoqcm2q4a}{{{{\textcolor {numpageenonce}{a.}}}}{292}{}{Item.1825}{}}
\newlabel{prodscalexoqcm2q5c}{{{{\textcolor {numpageenonce}{c.}}}}{292}{}{Item.1832}{}}
\newlabel{prodscalexoqcm2q6d}{{{{\textcolor {numpageenonce}{d.}}}}{292}{}{Item.1838}{}}
\newlabel{exercice:6.15}{{6.15}{293}{}{tcb@cnt@exocor.6.15}{}}
\newlabel{exercice:6.16}{{6.16}{293}{}{tcb@cnt@exocor.6.16}{}}
\newlabel{exercice:6.17}{{6.17}{293}{}{tcb@cnt@exocor.6.17}{}}
\newlabel{exercice:6.18}{{6.18}{293}{}{tcb@cnt@exocor.6.18}{}}
\newlabel{exercice:6.19}{{6.19}{293}{}{tcb@cnt@exocor.6.19}{}}
\newlabel{exercice:6.20}{{6.20}{294}{}{tcb@cnt@exocor.6.20}{}}
\newlabel{exercice:6.21}{{6.21}{294}{}{tcb@cnt@exocor.6.21}{}}
\newlabel{exercice:6.22}{{6.22}{295}{}{tcb@cnt@exocor.6.22}{}}
\@writefile{toc}{\contentsline {section}{Corrigés des exercices}{296}{section*.167}\protected@file@percent }
\newlabel{solution:6.1}{{2}{296}{}{section*.168}{}}
\newlabel{solution:6.2}{{2}{297}{}{section*.169}{}}
\newlabel{solution:6.3}{{2}{298}{}{section*.170}{}}
\newlabel{q4ex13prodscal}{{{{\fcolorbox {numpagecorrige}{numpagecorrige}{4}}}}{299}{}{Item.1885}{}}
\newlabel{solution:6.4}{{2}{300}{}{section*.171}{}}
\newlabel{solution:6.5}{{2}{300}{}{section*.172}{}}
\newlabel{solution:6.6}{{2}{301}{}{section*.173}{}}
\newlabel{solution:6.7}{{2}{302}{}{section*.174}{}}
\newlabel{solution:6.8}{{2}{302}{}{section*.175}{}}
\newlabel{solution:6.9}{{2}{305}{}{section*.177}{}}
\newlabel{solution:6.10}{{2}{305}{}{section*.178}{}}
\newlabel{solution:6.11}{{2}{306}{}{section*.179}{}}
\newlabel{solution:6.12}{{2}{307}{}{section*.180}{}}
\newlabel{solution:6.13}{{2}{307}{}{section*.181}{}}
\newlabel{solution:6.14}{{2}{309}{}{section*.182}{}}
\newlabel{solution:6.15}{{2}{311}{}{section*.183}{}}
\newlabel{solution:6.16}{{2}{312}{}{section*.184}{}}
\newlabel{solution:6.17}{{2}{312}{}{section*.185}{}}
\newlabel{solution:6.18}{{2}{313}{}{section*.186}{}}
\newlabel{rem:35}{{35}{313}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.35}{}}
\newlabel{solution:6.19}{{2}{314}{}{section*.187}{}}
\newlabel{solution:6.20}{{2}{314}{}{section*.188}{}}
\newlabel{solution:6.21}{{2}{315}{}{section*.189}{}}
\newlabel{solution:6.22}{{2}{316}{}{section*.190}{}}
\@writefile{toc}{\contentsline {chapter}{\numberline {7}Applications du produit scalaire}{318}{chapter.7}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{lof}{\contentsline {xchapter}{Applications du produit scalaire}{318}{chapter.7}\protected@file@percent }
\@writefile{lot}{\contentsline {xchapter}{Applications du produit scalaire}{318}{chapter.7}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {I}Géométrie non repérée}{319}{section.7.1}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Formule d'Al-Kashi}{319}{subsection.7.1.1}\protected@file@percent }
\newlabel{prop:7.49}{{49}{319}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.49}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Théorèmes de la médiane}{319}{subsection.7.1.2}\protected@file@percent }
\newlabel{thm:7.2}{{2}{319}{\if \@empty de la médiane\else (de la médiane)\fi }{tcb@cnt@tcbtheorem.2}{}}
\newlabel{thm:7.3}{{3}{320}{\if \@empty d'Apollonius \textit {ou} 2\ieme {} théorème de la médiane\else (d'Apollonius \textit {ou} 2\ieme {} théorème de la médiane)\fi }{tcb@cnt@tcbtheorem.3}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3}Propriétés sur le cercle}{321}{subsection.7.1.3}\protected@file@percent }
\newlabel{prop:7.50}{{50}{321}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.50}{}}
\newlabel{prop:7.51}{{51}{321}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.51}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4}Centre de gravité d'un triangle}{321}{subsection.7.1.4}\protected@file@percent }
\newlabel{prop:7.52}{{52}{322}{\if \@empty égalité vectorielle du centre de gravité\else (égalité vectorielle du centre de gravité)\fi }{tcb@cnt@tcbprop.52}{}}
\newlabel{prop:égalité vectorielle du centre de gravité}{{52}{322}{\if \@empty égalité vectorielle du centre de gravité\else (égalité vectorielle du centre de gravité)\fi }{tcb@cnt@tcbprop.52}{}}
\newlabel{prop:7.53}{{53}{322}{\if \@empty ligne de niveau 3\else (ligne de niveau 3)\fi }{tcb@cnt@tcbprop.53}{}}
\newlabel{prop:ligne de niveau 3}{{53}{322}{\if \@empty ligne de niveau 3\else (ligne de niveau 3)\fi }{tcb@cnt@tcbprop.53}{}}
\newlabel{prop:7.54}{{54}{322}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.54}{}}
\newlabel{prop:7.55}{{55}{323}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.55}{}}
\@writefile{toc}{\contentsline {section}{\numberline {II}Géométrie repérée}{323}{section.7.2}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Vecteur normal d'une droite}{323}{subsection.7.2.1}\protected@file@percent }
\newlabel{prop:7.56}{{56}{323}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.56}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}\'Equations cartésiennes de cercles}{324}{subsection.7.2.2}\protected@file@percent }
\newlabel{prop:7.57}{{57}{325}{\if \@empty équation cartésienne canonique d'un cercle\else (équation cartésienne canonique d'un cercle)\fi }{tcb@cnt@tcbprop.57}{}}
\newlabel{prop:équation cartésienne canonique d'un cercle}{{57}{325}{\if \@empty équation cartésienne canonique d'un cercle\else (équation cartésienne canonique d'un cercle)\fi }{tcb@cnt@tcbprop.57}{}}
\@writefile{toc}{\contentsline {section}{Enoncés}{326}{section*.191}\protected@file@percent }
\newlabel{exercice:7.1}{{7.1}{326}{}{tcb@cnt@exocor.7.1}{}}
\newlabel{exercice:7.2}{{7.2}{326}{}{tcb@cnt@exocor.7.2}{}}
\newlabel{exercice:7.3}{{7.3}{326}{}{tcb@cnt@exocor.7.3}{}}
\newlabel{exercice:7.4}{{7.4}{326}{}{tcb@cnt@exocor.7.4}{}}
\newlabel{exercice:7.5}{{7.5}{327}{}{tcb@cnt@exocor.7.5}{}}
\newlabel{exercice:7.6}{{7.6}{327}{}{tcb@cnt@exocor.7.6}{}}
\newlabel{exercice:7.7}{{7.7}{328}{}{tcb@cnt@exocor.7.7}{}}
\newlabel{exercice:7.8}{{7.8}{328}{}{tcb@cnt@exocor.7.8}{}}
\newlabel{exercice:7.9}{{7.9}{328}{}{tcb@cnt@exocor.7.9}{}}
\newlabel{exercice:7.10}{{7.10}{329}{}{tcb@cnt@exocor.7.10}{}}
\newlabel{exercice:7.11}{{7.11}{329}{}{tcb@cnt@exocor.7.11}{}}
\newlabel{exercice:7.12}{{7.12}{329}{}{tcb@cnt@exocor.7.12}{}}
\newlabel{exercice:7.13}{{7.13}{330}{}{tcb@cnt@exocor.7.13}{}}
\newlabel{exercice:7.14}{{7.14}{330}{}{tcb@cnt@exocor.7.14}{}}
\newlabel{exercice:7.15}{{7.15}{330}{}{tcb@cnt@exocor.7.15}{}}
\newlabel{exercice:7.16}{{7.16}{331}{}{tcb@cnt@exocor.7.16}{}}
\newlabel{exercice:7.17}{{7.17}{331}{}{tcb@cnt@exocor.7.17}{}}
\newlabel{exercice:7.18}{{7.18}{331}{}{tcb@cnt@exocor.7.18}{}}
\newlabel{exercice:7.19}{{7.19}{331}{}{tcb@cnt@exocor.7.19}{}}
\newlabel{exercice:7.20}{{7.20}{332}{}{tcb@cnt@exocor.7.20}{}}
\newlabel{exercice:7.21}{{7.21}{332}{}{tcb@cnt@exocor.7.21}{}}
\newlabel{rem:36}{{36}{332}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.36}{}}
\newlabel{exercice:7.22}{{7.22}{332}{}{tcb@cnt@exocor.7.22}{}}
\newlabel{prodscalapplexoq1b}{{{{\textcolor {numpageenonce}{b.}}}}{332}{}{Item.2082}{}}
\newlabel{prodscalapplexoq2c}{{{{\textcolor {numpageenonce}{c.}}}}{332}{}{Item.2088}{}}
\newlabel{prodscalapplexoq3d}{{{{\textcolor {numpageenonce}{d.}}}}{332}{}{Item.2094}{}}
\newlabel{prodscalapplexoq4c}{{{{\textcolor {numpageenonce}{c.}}}}{333}{}{Item.2098}{}}
\newlabel{prodscalapplexoq5b}{{{{\textcolor {numpageenonce}{b.}}}}{333}{}{Item.2102}{}}
\newlabel{exercice:7.23}{{7.23}{333}{}{tcb@cnt@exocor.7.23}{}}
\newlabel{exercice:7.24}{{7.24}{333}{}{tcb@cnt@exocor.7.24}{}}
\newlabel{exercice:7.25}{{7.25}{334}{}{tcb@cnt@exocor.7.25}{}}
\newlabel{exercice:7.26}{{7.26}{334}{}{tcb@cnt@exocor.7.26}{}}
\newlabel{exercice:7.27}{{7.27}{334}{}{tcb@cnt@exocor.7.27}{}}
\@writefile{toc}{\contentsline {section}{Corrigés des exercices}{335}{section*.193}\protected@file@percent }
\newlabel{solution:7.1}{{2}{335}{}{section*.194}{}}
\newlabel{solution:7.2}{{2}{336}{}{section*.196}{}}
\newlabel{solution:7.3}{{2}{336}{}{section*.197}{}}
\newlabel{solution:7.4}{{2}{337}{}{section*.198}{}}
\newlabel{solution:7.5}{{2}{338}{}{section*.199}{}}
\newlabel{exo-prodscal-1}{{{{\fcolorbox {numpagecorrige}{numpagecorrige}{1}}}}{338}{}{Item.2153}{}}
\newlabel{solution:7.6}{{2}{340}{}{section*.200}{}}
\newlabel{q1exHeron}{{{{\fcolorbox {numpagecorrige}{numpagecorrige}{1}}}}{340}{}{Item.2158}{}}
\newlabel{q2exHeron}{{{{\fcolorbox {numpagecorrige}{numpagecorrige}{3}}}}{341}{}{Item.2160}{}}
\newlabel{solution:7.7}{{2}{342}{}{section*.201}{}}
\newlabel{solution:7.8}{{2}{343}{}{section*.202}{}}
\newlabel{solution:7.9}{{2}{344}{}{section*.203}{}}
\newlabel{solution:7.10}{{2}{345}{}{section*.204}{}}
\newlabel{solution:7.11}{{2}{346}{}{section*.205}{}}
\newlabel{solution:7.12}{{2}{347}{}{section*.206}{}}
\newlabel{solution:7.13}{{2}{348}{}{section*.207}{}}
\newlabel{solution:7.14}{{2}{350}{}{section*.208}{}}
\newlabel{solution:7.15}{{2}{350}{}{section*.209}{}}
\newlabel{solution:7.16}{{2}{353}{}{section*.210}{}}
\newlabel{solution:7.17}{{2}{353}{}{section*.211}{}}
\newlabel{solution:7.18}{{2}{354}{}{section*.212}{}}
\newlabel{solution:7.19}{{2}{354}{}{section*.213}{}}
\newlabel{solution:7.20}{{2}{357}{}{section*.214}{}}
\newlabel{solution:7.21}{{2}{358}{}{section*.215}{}}
\newlabel{solution:7.22}{{2}{359}{}{section*.216}{}}
\newlabel{solution:7.23}{{2}{360}{}{section*.217}{}}
\newlabel{solution:7.24}{{2}{363}{}{section*.218}{}}
\newlabel{solution:7.25}{{2}{364}{}{section*.219}{}}
\newlabel{solution:7.26}{{2}{367}{}{section*.220}{}}
\newlabel{solution:7.27}{{2}{368}{}{section*.221}{}}
\@writefile{toc}{\contentsline {chapter}{\numberline {8}Probabilités conditionnelles}{372}{chapter.8}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{lof}{\contentsline {xchapter}{Probabilités conditionnelles}{372}{chapter.8}\protected@file@percent }
\@writefile{lot}{\contentsline {xchapter}{Probabilités conditionnelles}{372}{chapter.8}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {I}Probabilités conditionnelles}{373}{section.8.1}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Définition}{373}{subsection.8.1.1}\protected@file@percent }
\newlabel{prop:8.58}{{58}{373}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.58}{}}
\newlabel{exemple:8.41}{{41}{373}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.41}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}\'Evénement contraire}{374}{subsection.8.1.2}\protected@file@percent }
\newlabel{prop:8.59}{{59}{374}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.59}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3}Partition de l'univers}{374}{subsection.8.1.3}\protected@file@percent }
\newlabel{rem:37}{{37}{374}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.37}{}}
\@writefile{toc}{\contentsline {section}{\numberline {II}Probabilités totales}{375}{section.8.2}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Version \@FB@og  light \@FB@fg  \xspace  de la formule des probabilités totales}{375}{subsection.8.2.1}\protected@file@percent }
\newlabel{prop:8.60}{{60}{375}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.60}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Formule des probabilités totales}{375}{subsection.8.2.2}\protected@file@percent }
\newlabel{prop:8.61}{{61}{375}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.61}{}}
\newlabel{exemple:8.42}{{42}{375}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.42}{}}
\@writefile{toc}{\contentsline {section}{\numberline {III}Indépendance}{376}{section.8.3}\protected@file@percent }
\newlabel{prop:8.62}{{62}{376}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.62}{}}
\newlabel{prop:8.63}{{63}{377}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.63}{}}
\newlabel{exemple:8.43}{{43}{377}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.43}{}}
\newlabel{prop:8.64}{{64}{377}{\if \@empty \else ()\fi }{tcb@cnt@tcbprop.64}{}}
\newlabel{rem:38}{{38}{378}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.38}{}}
\@writefile{toc}{\contentsline {section}{\numberline {IV}Succession de deux épreuves\ttl@linetosp  indépendantes}{378}{section.8.4}\protected@file@percent }
\newlabel{exemple:8.44}{{44}{378}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.44}{}}
\@writefile{toc}{\contentsline {section}{Enoncés}{379}{section*.222}\protected@file@percent }
\newlabel{exercice:8.1}{{8.1}{379}{}{tcb@cnt@exocor.8.1}{}}
\newlabel{tes-proba-08-q1c}{{{{\textcolor {numpageenonce}{c.}}}}{379}{}{Item.2244}{}}
\newlabel{tes-proba-08-q2a}{{{{\textcolor {numpageenonce}{a.}}}}{379}{}{Item.2246}{}}
\newlabel{tes-proba-08-q3c}{{{{\textcolor {numpageenonce}{c.}}}}{379}{}{Item.2252}{}}
\newlabel{tes-proba-08-q4c}{{{{\textcolor {numpageenonce}{c.}}}}{379}{}{Item.2256}{}}
\newlabel{exercice:8.2}{{8.2}{380}{}{tcb@cnt@exocor.8.2}{}}
\newlabel{exercice:8.3}{{8.3}{380}{}{tcb@cnt@exocor.8.3}{}}
\newlabel{exercice:8.4}{{8.4}{381}{}{tcb@cnt@exocor.8.4}{}}
\newlabel{exercice:8.5}{{8.5}{381}{}{tcb@cnt@exocor.8.5}{}}
\newlabel{exercice:8.6}{{8.6}{382}{}{tcb@cnt@exocor.8.6}{}}
\newlabel{exercice:8.7}{{8.7}{382}{}{tcb@cnt@exocor.8.7}{}}
\newlabel{exercice:8.8}{{8.8}{383}{}{tcb@cnt@exocor.8.8}{}}
\newlabel{exercice:8.9}{{8.9}{383}{}{tcb@cnt@exocor.8.9}{}}
\newlabel{exercice:8.10}{{8.10}{383}{}{tcb@cnt@exocor.8.10}{}}
\newlabel{exercice:8.11}{{8.11}{384}{}{tcb@cnt@exocor.8.11}{}}
\newlabel{exercice:8.12}{{8.12}{385}{}{tcb@cnt@exocor.8.12}{}}
\newlabel{exercice:8.13}{{8.13}{385}{}{tcb@cnt@exocor.8.13}{}}
\newlabel{exercice:8.14}{{8.14}{386}{}{tcb@cnt@exocor.8.14}{}}
\newlabel{exercice:8.15}{{8.15}{386}{}{tcb@cnt@exocor.8.15}{}}
\newlabel{exercice:8.16}{{8.16}{386}{}{tcb@cnt@exocor.8.16}{}}
\newlabel{exercice:8.17}{{8.17}{387}{}{tcb@cnt@exocor.8.17}{}}
\newlabel{exercice:8.18}{{8.18}{387}{}{tcb@cnt@exocor.8.18}{}}
\newlabel{exercice:8.19}{{8.19}{387}{}{tcb@cnt@exocor.8.19}{}}
\newlabel{exercice:8.20}{{8.20}{387}{}{tcb@cnt@exocor.8.20}{}}
\newlabel{exercice:8.21}{{8.21}{388}{}{tcb@cnt@exocor.8.21}{}}
\newlabel{exercice:8.22}{{8.22}{389}{}{tcb@cnt@exocor.8.22}{}}
\newlabel{exercice:8.23}{{8.23}{389}{}{tcb@cnt@exocor.8.23}{}}
\newlabel{exercice:8.24}{{8.24}{390}{}{tcb@cnt@exocor.8.24}{}}
\newlabel{exercice:8.25}{{8.25}{390}{}{tcb@cnt@exocor.8.25}{}}
\newlabel{exercice:8.26}{{8.26}{390}{}{tcb@cnt@exocor.8.26}{}}
\newlabel{exercice:8.27}{{8.27}{391}{}{tcb@cnt@exocor.8.27}{}}
\@writefile{toc}{\contentsline {section}{Corrigés des exercices}{392}{section*.223}\protected@file@percent }
\newlabel{solution:8.1}{{IV}{392}{}{section*.224}{}}
\newlabel{solution:8.2}{{IV}{392}{}{section*.225}{}}
\newlabel{solution:8.3}{{IV}{393}{}{section*.226}{}}
\newlabel{solution:8.4}{{IV}{394}{}{section*.227}{}}
\newlabel{solution:8.5}{{IV}{394}{}{section*.228}{}}
\newlabel{solution:8.6}{{IV}{395}{}{section*.229}{}}
\newlabel{solution:8.7}{{IV}{395}{}{section*.230}{}}
\newlabel{solution:8.8}{{IV}{396}{}{section*.231}{}}
\newlabel{solution:8.9}{{IV}{396}{}{section*.232}{}}
\newlabel{solution:8.10}{{IV}{397}{}{section*.233}{}}
\newlabel{solution:8.11}{{IV}{398}{}{section*.234}{}}
\newlabel{solution:8.12}{{IV}{399}{}{section*.235}{}}
\newlabel{solution:8.13}{{IV}{400}{}{section*.236}{}}
\newlabel{solution:8.14}{{IV}{402}{}{section*.237}{}}
\newlabel{solution:8.15}{{IV}{402}{}{section*.238}{}}
\newlabel{rem:40}{{40}{403}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.40}{}}
\newlabel{solution:8.16}{{IV}{403}{}{section*.239}{}}
\newlabel{solution:8.17}{{IV}{403}{}{section*.240}{}}
\newlabel{solution:8.18}{{IV}{404}{}{section*.241}{}}
\newlabel{solution:8.19}{{IV}{404}{}{section*.242}{}}
\newlabel{solution:8.20}{{IV}{405}{}{section*.243}{}}
\newlabel{solution:8.21}{{IV}{405}{}{section*.244}{}}
\newlabel{solution:8.22}{{IV}{408}{}{section*.245}{}}
\newlabel{solution:8.23}{{IV}{409}{}{section*.246}{}}
\newlabel{solution:8.24}{{IV}{410}{}{section*.247}{}}
\newlabel{solution:8.25}{{IV}{410}{}{section*.248}{}}
\newlabel{solution:8.26}{{IV}{411}{}{section*.249}{}}
\newlabel{solution:8.27}{{IV}{411}{}{section*.250}{}}
\@writefile{toc}{\contentsline {chapter}{\numberline {9}Variables aléatoires}{412}{chapter.9}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{lof}{\contentsline {xchapter}{Variables aléatoires}{412}{chapter.9}\protected@file@percent }
\@writefile{lot}{\contentsline {xchapter}{Variables aléatoires}{412}{chapter.9}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {I}Introduction}{413}{section.9.1}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Une expérience aléatoire}{413}{subsection.9.1.1}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Définition}{413}{subsection.9.1.2}\protected@file@percent }
\newlabel{exemple:9.45}{{45}{413}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.45}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3}Définition plus théorique}{414}{subsection.9.1.3}\protected@file@percent }
\newlabel{rem:41}{{41}{414}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.41}{}}
\@writefile{toc}{\contentsline {section}{\numberline {II}Loi de probabilité}{414}{section.9.2}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1}Définition}{414}{subsection.9.2.1}\protected@file@percent }
\newlabel{exemple:9.46}{{46}{414}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.46}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2}Espérance d'une variable aléatoire}{415}{subsection.9.2.2}\protected@file@percent }
\newlabel{rem:42}{{42}{415}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.42}{}}
\newlabel{exemple:9.47}{{47}{415}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.47}{}}
\newlabel{prop:9.65}{{65}{415}{\if \@empty linéarité de l'espérance\else (linéarité de l'espérance)\fi }{tcb@cnt@tcbprop.65}{}}
\newlabel{prop:linéarité de l'espérance}{{65}{415}{\if \@empty linéarité de l'espérance\else (linéarité de l'espérance)\fi }{tcb@cnt@tcbprop.65}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3}Variance et écart-type d'une variable aléatoire}{416}{subsection.9.2.3}\protected@file@percent }
\@writefile{toc}{\contentsline {subsubsection}{\numberline {a}Définitions}{416}{subsubsection.9.2.3.1}\protected@file@percent }
\newlabel{exemple:9.48}{{48}{416}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.48}{}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {b}Interprétation}{416}{subsubsection.9.2.3.2}\protected@file@percent }
\@writefile{toc}{\contentsline {subsubsection}{\numberline {c}Théorème de König-Huygens}{417}{subsubsection.9.2.3.3}\protected@file@percent }
\newlabel{thm:9.4}{{4}{417}{\if \@empty de König-Huygens\else (de König-Huygens)\fi }{tcb@cnt@tcbtheorem.4}{}}
\newlabel{rem:43}{{43}{417}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.43}{}}
\newlabel{exemple:9.49}{{49}{417}{\if \@empty \else ()\fi }{tcb@cnt@tcbexemple.49}{}}
\@writefile{toc}{\contentsline {section}{Enoncés}{418}{section*.251}\protected@file@percent }
\newlabel{exercice:9.1}{{9.1}{418}{Théorème de König-Huygens}{tcb@cnt@exocor.9.1}{}}
\newlabel{exercice:9.2}{{9.2}{418}{Théorème de König-Huygens}{tcb@cnt@exocor.9.2}{}}
\newlabel{exercice:9.3}{{9.3}{418}{Théorème de König-Huygens}{tcb@cnt@exocor.9.3}{}}
\newlabel{exercice:9.4}{{9.4}{419}{Théorème de König-Huygens}{tcb@cnt@exocor.9.4}{}}
\newlabel{exercice:9.5}{{9.5}{419}{Théorème de König-Huygens}{tcb@cnt@exocor.9.5}{}}
\newlabel{exercice:9.6}{{9.6}{419}{Théorème de König-Huygens}{tcb@cnt@exocor.9.6}{}}
\newlabel{exercice:9.7}{{9.7}{420}{Théorème de König-Huygens}{tcb@cnt@exocor.9.7}{}}
\newlabel{exercice:9.8}{{9.8}{420}{Théorème de König-Huygens}{tcb@cnt@exocor.9.8}{}}
\newlabel{exercice:9.9}{{9.9}{420}{Théorème de König-Huygens}{tcb@cnt@exocor.9.9}{}}
\newlabel{exercice:9.10}{{9.10}{421}{Théorème de König-Huygens}{tcb@cnt@exocor.9.10}{}}
\newlabel{exercice:9.11}{{9.11}{421}{Théorème de König-Huygens}{tcb@cnt@exocor.9.11}{}}
\newlabel{exercice:9.12}{{9.12}{422}{Théorème de König-Huygens}{tcb@cnt@exocor.9.12}{}}
\newlabel{exercice:9.13}{{9.13}{423}{Théorème de König-Huygens}{tcb@cnt@exocor.9.13}{}}
\newlabel{exercice:9.14}{{9.14}{424}{Théorème de König-Huygens}{tcb@cnt@exocor.9.14}{}}
\newlabel{exercice:9.15}{{9.15}{424}{Théorème de König-Huygens}{tcb@cnt@exocor.9.15}{}}
\newlabel{exercice:9.16}{{9.16}{425}{Théorème de König-Huygens}{tcb@cnt@exocor.9.16}{}}
\newlabel{exercice:9.17}{{9.17}{425}{Théorème de König-Huygens}{tcb@cnt@exocor.9.17}{}}
\newlabel{exercice:9.18}{{9.18}{426}{Théorème de König-Huygens}{tcb@cnt@exocor.9.18}{}}
\newlabel{exercice:9.19}{{9.19}{427}{}{tcb@cnt@exocor.9.19}{}}
\newlabel{exercice:9.20}{{9.20}{427}{}{tcb@cnt@exocor.9.20}{}}
\newlabel{exercice:9.21}{{9.21}{428}{}{tcb@cnt@exocor.9.21}{}}
\@writefile{toc}{\contentsline {section}{Corrigés des exercices}{429}{section*.252}\protected@file@percent }
\newlabel{solution:9.1}{{c}{429}{}{section*.253}{}}
\newlabel{solution:9.2}{{c}{429}{}{section*.254}{}}
\newlabel{solution:9.3}{{c}{430}{}{section*.255}{}}
\newlabel{solution:9.4}{{c}{430}{}{section*.256}{}}
\newlabel{solution:9.5}{{c}{430}{}{section*.257}{}}
\newlabel{solution:9.6}{{c}{431}{}{section*.258}{}}
\newlabel{solution:9.7}{{c}{431}{}{section*.259}{}}
\newlabel{solution:9.8}{{c}{432}{}{section*.260}{}}
\newlabel{solution:9.9}{{c}{432}{}{section*.261}{}}
\newlabel{solution:9.10}{{c}{433}{}{section*.262}{}}
\newlabel{solution:9.11}{{c}{434}{}{section*.263}{}}
\newlabel{solution:9.12}{{c}{436}{}{section*.264}{}}
\newlabel{solution:9.13}{{c}{437}{}{section*.265}{}}
\newlabel{solution:9.14}{{c}{438}{}{section*.266}{}}
\newlabel{solution:9.15}{{c}{438}{}{section*.267}{}}
\newlabel{solution:9.16}{{c}{439}{}{section*.268}{}}
\newlabel{solution:9.17}{{c}{440}{}{section*.269}{}}
\newlabel{solution:9.18}{{c}{441}{}{section*.270}{}}
\newlabel{rem:47}{{47}{441}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.47}{}}
\newlabel{solution:9.19}{{c}{442}{}{section*.271}{}}
\newlabel{rem:48}{{48}{442}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.48}{}}
\newlabel{solution:9.20}{{c}{442}{}{section*.272}{}}
\newlabel{solution:9.21}{{c}{443}{}{section*.273}{}}
\newlabel{rem:49}{{49}{444}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.49}{}}
\@writefile{toc}{\contentsline {chapter}{\numberline {10}Entraînement aux épreuves finales}{445}{chapter.10}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{lof}{\contentsline {xchapter}{Entraînement aux épreuves finales}{445}{chapter.10}\protected@file@percent }
\@writefile{lot}{\contentsline {xchapter}{Entraînement aux épreuves finales}{445}{chapter.10}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{Enoncés}{446}{section*.274}\protected@file@percent }
\newlabel{exercice:10.1}{{10.1}{446}{}{tcb@cnt@exocor.10.1}{}}
\newlabel{exercice:10.2}{{10.2}{448}{}{tcb@cnt@exocor.10.2}{}}
\newlabel{exercice:10.3}{{10.3}{450}{}{tcb@cnt@exocor.10.3}{}}
\newlabel{exercice:10.4}{{10.4}{451}{}{tcb@cnt@exocor.10.4}{}}
\newlabel{exercice:10.5}{{10.5}{453}{}{tcb@cnt@exocor.10.5}{}}
\newlabel{exercice:10.6}{{10.6}{454}{}{tcb@cnt@exocor.10.6}{}}
\newlabel{sujet0-1-ex2-q1}{{{{\fcolorbox {numpageenonce}{numpageenonce}{1}}}}{454}{}{Item.2989}{}}
\newlabel{sujet0-1-ex2-q1a}{{{{\textcolor {numpageenonce}{a.}}}}{454}{}{Item.2990}{}}
\newlabel{sujet0-1-ex2-q2}{{{{\fcolorbox {numpageenonce}{numpageenonce}{2}}}}{454}{}{Item.2993}{}}
\newlabel{sujet0-1-ex2-q2b}{{{{\textcolor {numpageenonce}{b.}}}}{454}{}{Item.2995}{}}
\newlabel{sujet0-1-ex2-q2d}{{{{\textcolor {numpageenonce}{d.}}}}{454}{}{Item.2997}{}}
\newlabel{exercice:10.7}{{10.7}{454}{}{tcb@cnt@exocor.10.7}{}}
\newlabel{exercice:10.8}{{10.8}{455}{}{tcb@cnt@exocor.10.8}{}}
\@writefile{toc}{\contentsline {section}{Corrigés des exercices}{457}{section*.275}\protected@file@percent }
\newlabel{solution:10.1}{{10}{457}{}{section*.276}{}}
\newlabel{solution:10.2}{{10}{457}{}{section*.277}{}}
\newlabel{solution:10.3}{{10}{458}{}{section*.278}{}}
\newlabel{solution:10.4}{{10}{460}{}{section*.279}{}}
\newlabel{solution:10.5}{{10}{461}{}{section*.280}{}}
\newlabel{sujet0-1-q1}{{{{\fcolorbox {numpagecorrige}{numpagecorrige}{1}}}}{461}{}{Item.3089}{}}
\newlabel{sujet0-1-q1b}{{{{\textcolor {numpagecorrige}{b.}}}}{461}{}{Item.3091}{}}
\newlabel{sujet0-1-q2}{{{{\fcolorbox {numpagecorrige}{numpagecorrige}{2}}}}{461}{}{Item.3092}{}}
\newlabel{sujet0-1-q2a}{{{{\textcolor {numpagecorrige}{a.}}}}{461}{}{Item.3093}{}}
\newlabel{sujet0-1-q2b}{{{{\textcolor {numpagecorrige}{b.}}}}{461}{}{Item.3094}{}}
\newlabel{solution:10.6}{{10}{462}{}{section*.281}{}}
\newlabel{rem:52}{{52}{463}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.52}{}}
\newlabel{solution:10.7}{{10}{463}{}{section*.282}{}}
\newlabel{solution:10.8}{{10}{464}{}{section*.283}{}}
\newlabel{rem:53}{{53}{464}{\if \@empty \else ()\fi }{tcb@cnt@tcbrem.53}{}}
\global\mtcsecondpartfalse
\@writefile{toc}{\vspace *{1cm}}
\@writefile{toc}{\hspace  *{8mm}\textit  {{\fontencoding  {U}\fontfamily  {futs}\selectfont  M}~~250 exercices entièrement corrigés}}
\ttl@finishall
\gdef \@abspage@last{471}
