Commit 5e196285 authored by Vincent-Xavier JUMEL's avatar Vincent-Xavier JUMEL 📚
Browse files

Mise à jour fichiers


Signed-off-by: Vincent-Xavier JUMEL's avatarVincent-Xavier JUMEL <endymion@thetys-retz.net>
parent a530febc
......@@ -28,7 +28,7 @@
$clean_ext .= " pythontex-files-%R/* pythontex-files-%R";
push @generated_exts, 'pytxcode';
$pythontex = 'pythontex3 %O %S';
$pythontex = 'pythontex %O %S';
$extra_rule_spec{'pythontex'} = [ 'internal', '', 'mypythontex', "%Y%R.pytxcode", "%Ypythontex-files-%R/%R.pytxmcr", "%R", 1 ];
sub mypythontex {
......
\babel@toc {french}{}
\babel@toc {french}{}
\beamer@sectionintoc {1}{D\IeC {\'e}finitions}{2}{0}{1}
\beamer@subsectionintoc {1}{1}{Ensembles de nombres}{2}{0}{1}
\beamer@subsectionintoc {1}{2}{Vocabulaire des comparaisons}{5}{0}{1}
\beamer@sectionintoc {2}{Intervalles de $\mathbf {R}$}{6}{0}{2}
\beamer@subsectionintoc {2}{1}{Intervalles born\IeC {\'e}s}{6}{0}{2}
\beamer@subsectionintoc {2}{2}{Intervalles non born\IeC {\'e}s}{7}{0}{2}
\babel@toc {french}{}
\babel@toc {french}{}
\babel@toc {french}{}
\beamer@sectionintoc {1}{Programme de seconde générale et technologique}{9}{0}{1}
\beamer@sectionintoc {2}{Modalités de travail de l'année}{40}{0}{2}
=>PYTHONTEX#pycon#default#default#0#console####cours.tex#27#
import random
for i in range(20):
if random.random() > 0.5:
print("f",end='')
else:
print("p",end='')
=>PYTHONTEX#py#default#default#0#block####cours.tex#44#
import random
def pile_face(n):
r = ""
for i in range(n):
if random.random() > 0.5:
r = r + "f"
else:
r = r + "p"
return r
print(pile_face(20))
=>PYTHONTEX#pycon#default#default#1#console####cours.tex#59#
"ppppfffpppfppfffpppp".count('p')
=>PYTHONTEX#py#default#defaultverb#0#v####cours.tex#63#
pile_face(20)
=>PYTHONTEX#sympy#default#default#0#block####cours.tex#135#
from prettytable import PrettyTable
t = PrettyTable()
colonnes = [0,30,45,60,90]
for val in colonnes:
a = val*pi/180
t.add_column(str(val),[sin(a),cos(a)])
print(t)
=>PYTHONTEX:SETTINGS#
version=0.17
outputdir=pythontex-files-cours_2de
workingdir=.
workingdirset=false
gobble=none
rerun=default
hashdependencies=default
makestderr=false
stderrfilename=full
keeptemps=none
pyfuture=default
pyconfuture=none
pygments=true
pygglobal=:GLOBAL||
fvextfile=-1
pyconbanner=none
pyconfilename=stdin
depythontex=false
pygfamily=py|python3|
pygfamily=pycon|pycon|
pygfamily=sympy|python3|
pygfamily=sympycon|pycon|
pygfamily=pylab|python3|
pygfamily=pylabcon|pycon|
\babel@toc {french}{}
\babel@toc {french}{}
\contentsline {chapter}{\numberline {1}Ensembles de nombres}{7}{chapter.1}%
\contentsline {section}{\numberline {1.1}D\IeC {\'e}finitions}{7}{section.1.1}%
\contentsline {subsection}{\numberline {1.1.1}Ensembles de nombres}{7}{subsection.1.1.1}%
\contentsline {subsection}{\numberline {1.1.2}Vocabulaire des comparaisons}{9}{subsection.1.1.2}%
\contentsline {subsection}{\numberline {1.1.3}Valeur absolue d'un nombre}{10}{subsection.1.1.3}%
\contentsline {section}{\numberline {1.2}Intervalles de $\mathbf {R}$}{11}{section.1.2}%
\contentsline {subsection}{\numberline {1.2.1}Intervalles born\IeC {\'e}s}{11}{subsection.1.2.1}%
\contentsline {subsection}{\numberline {1.2.2}Intervalles non born\IeC {\'e}s}{11}{subsection.1.2.2}%
\contentsline {subsection}{\numberline {1.2.3}Intervalles centr\IeC {\'e}s}{12}{subsection.1.2.3}%
\contentsline {chapter}{\numberline {2}G\IeC {\'e}n\IeC {\'e}ralit\IeC {\'e}s sur les fonctions}{13}{chapter.2}%
\contentsline {section}{\numberline {2.1}Vocabulaire des fonctions et exemples}{13}{section.2.1}%
\contentsline {subsection}{\numberline {2.1.1}Vocabulaire}{13}{subsection.2.1.1}%
\contentsline {subsection}{\numberline {2.1.2}Exemples}{13}{subsection.2.1.2}%
\contentsline {section}{\numberline {2.2}Repr\IeC {\'e}sentation graphique et applications}{14}{section.2.2}%
\contentsline {subsection}{\numberline {2.2.1}Repr\IeC {\'e}sentation graphique}{14}{subsection.2.2.1}%
\contentsline {subsection}{\numberline {2.2.2}R\IeC {\'e}solution des \IeC {\'e}quations $f(x) = k$ et $f(x) = g(x)$}{14}{subsection.2.2.2}%
\contentsline {subsection}{\numberline {2.2.3}R\IeC {\'e}solution des in\IeC {\'e}quations $f(x) < k$ et $f(x) < g(x)$}{15}{subsection.2.2.3}%
\contentsline {section}{\numberline {2.3}Variations d'une fonction}{16}{section.2.3}%
\contentsline {subsection}{\numberline {2.3.1}Vocabulaire des variations}{16}{subsection.2.3.1}%
\contentsline {subsection}{\numberline {2.3.2}Tableau de variations}{17}{subsection.2.3.2}%
\contentsline {subsection}{\numberline {2.3.3}Extremum}{17}{subsection.2.3.3}%
\contentsline {chapter}{\numberline {3}Statistiques}{19}{chapter.3}%
\contentsline {section}{\numberline {3.1}Pr\IeC {\'e}sentation d'une s\IeC {\'e}rie statistique}{19}{section.3.1}%
\contentsline {subsection}{\numberline {3.1.1}Effectifs et fr\IeC {\'e}quences cumul\IeC {\'e}\IeC {\ensuremath {\cdot }}e\IeC {\ensuremath {\cdot }}s croissant\IeC {\ensuremath {\cdot }}e\IeC {\ensuremath {\cdot }}s}{19}{subsection.3.1.1}%
\contentsline {subsection}{\numberline {3.1.2}Exemples de repr\IeC {\'e}sentations graphiques}{19}{subsection.3.1.2}%
\contentsline {section}{\numberline {3.2}Caract\IeC {\'e}ristique de position, de dispersion}{20}{section.3.2}%
\contentsline {subsection}{\numberline {3.2.1}La moyenne}{20}{subsection.3.2.1}%
\contentsline {subsection}{\numberline {3.2.2}La m\IeC {\'e}diane}{20}{subsection.3.2.2}%
\contentsline {subsection}{\numberline {3.2.3}Les quartiles}{20}{subsection.3.2.3}%
\contentsline {subsection}{\numberline {3.2.4}Caract\IeC {\'e}ristiques de dispersion}{20}{subsection.3.2.4}%
\contentsline {chapter}{\numberline {4}Vecteurs --- Aspects g\IeC {\'e}om\IeC {\'e}triques}{21}{chapter.4}%
\contentsline {section}{\numberline {4.1}G\IeC {\'e}n\IeC {\'e}ralit\IeC {\'e}s}{21}{section.4.1}%
\contentsline {subsection}{\numberline {4.1.1}D\IeC {\'e}finition}{21}{subsection.4.1.1}%
\contentsline {subsection}{\numberline {4.1.2}\IeC {\'E}galit\IeC {\'e} de vecteurs}{21}{subsection.4.1.2}%
\contentsline {section}{\numberline {4.2}Op\IeC {\'e}rations sur les vecteurs}{22}{section.4.2}%
\contentsline {subsection}{\numberline {4.2.1}Somme et diff\IeC {\'e}rence de vecteurs}{22}{subsection.4.2.1}%
\contentsline {subsection}{\numberline {4.2.2}Produit d'un vecteur par un scalaire}{24}{subsection.4.2.2}%
\contentsline {section}{\numberline {4.3}Applications}{24}{section.4.3}%
\contentsline {subsection}{\numberline {4.3.1}Parall\IeC {\'e}lisme et alignement}{24}{subsection.4.3.1}%
\contentsline {subsection}{\numberline {4.3.2}Milieu d'un segment}{25}{subsection.4.3.2}%
\contentsline {chapter}{\numberline {5}Fonctions affines}{27}{chapter.5}%
\contentsline {section}{\numberline {5.1}G\IeC {\'e}n\IeC {\'e}ralit\IeC {\'e}s sur les fonctions affines}{27}{section.5.1}%
\contentsline {subsection}{\numberline {5.1.1}D\IeC {\'e}finition}{27}{subsection.5.1.1}%
\contentsline {subsection}{\numberline {5.1.2}Repr\IeC {\'e}sentation graphique}{27}{subsection.5.1.2}%
\contentsline {subsection}{\numberline {5.1.3}Variations}{29}{subsection.5.1.3}%
\contentsline {section}{\numberline {5.2}R\IeC {\'e}solution de probl\IeC {\`e}mes affines}{30}{section.5.2}%
\contentsline {subsection}{\numberline {5.2.1}R\IeC {\'e}solution d'\IeC {\'e}quation}{30}{subsection.5.2.1}%
\contentsline {subsection}{\numberline {5.2.2}Tableau de signe et r\IeC {\'e}solution d'in\IeC {\'e}quations}{30}{subsection.5.2.2}%
\contentsline {chapter}{\numberline {6}Probabilit\IeC {\'e}s}{33}{chapter.6}%
\contentsline {section}{\numberline {6.1}Probabilit\IeC {\'e}s sur un ensemble fini}{33}{section.6.1}%
\contentsline {subsection}{\numberline {6.1.1}Exp\IeC {\'e}rience al\IeC {\'e}atoire}{33}{subsection.6.1.1}%
\contentsline {subsection}{\numberline {6.1.2}Mod\IeC {\'e}lisation d'une exp\IeC {\'e}rience al\IeC {\'e}atoire}{33}{subsection.6.1.2}%
\contentsline {subsection}{\numberline {6.1.3}Le mod\IeC {\`e}le d'\IeC {\'e}quiprobabilit\IeC {\'e}}{33}{subsection.6.1.3}%
\contentsline {section}{\numberline {6.2}Probabilit\IeC {\'e} d'un \IeC {\'e}v\IeC {\'e}nement}{34}{section.6.2}%
\contentsline {subsection}{\numberline {6.2.1}Notion d'\IeC {\'e}v\IeC {\'e}nement}{34}{subsection.6.2.1}%
\contentsline {subsection}{\numberline {6.2.2}Probabilit\IeC {\'e} d'un \IeC {\'e}v\IeC {\'e}nement}{35}{subsection.6.2.2}%
\contentsline {section}{\numberline {6.3}Calcul des probabilit\IeC {\'e}s}{35}{section.6.3}%
\contentsline {subsection}{\numberline {6.3.1}Union et intersection d'\IeC {\'e}v\IeC {\'e}nements}{35}{subsection.6.3.1}%
\contentsline {subsection}{\numberline {6.3.2}Formule de calcul}{36}{subsection.6.3.2}%
\contentsline {subsection}{\numberline {6.3.3}\IeC {\'E}v\IeC {\'e}nement contraire}{37}{subsection.6.3.3}%
\contentsline {chapter}{\numberline {7}Fonctions de r\IeC {\'e}f\IeC {\'e}rence}{39}{chapter.7}%
\contentsline {section}{\numberline {7.1}Fonction carr\IeC {\'e}}{39}{section.7.1}%
\contentsline {subsection}{\numberline {7.1.1}D\IeC {\'e}finition de la fonction carr\IeC {\'e}}{39}{subsection.7.1.1}%
\contentsline {subsection}{\numberline {7.1.2}Sens de variation de la fonction carr\IeC {\'e}}{39}{subsection.7.1.2}%
\contentsline {subsection}{\numberline {7.1.3}Repr\IeC {\'e}sentation graphique de la fonction carr\IeC {\'e}}{40}{subsection.7.1.3}%
\contentsline {subsection}{\numberline {7.1.4}R\IeC {\'e}solution des \IeC {\'e}quations carr\IeC {\'e}s}{41}{subsection.7.1.4}%
\contentsline {section}{\numberline {7.2}Fonction inverse}{41}{section.7.2}%
\contentsline {subsection}{\numberline {7.2.1}D\IeC {\'e}finition de la fonction inverse}{41}{subsection.7.2.1}%
\contentsline {subsection}{\numberline {7.2.2}Sens de variation de la fonction inverse}{41}{subsection.7.2.2}%
\contentsline {subsection}{\numberline {7.2.3}Repr\IeC {\'e}sentation graphique de la fonction inverse}{42}{subsection.7.2.3}%
\contentsline {chapter}{\numberline {8}Vecteurs --- Aspects analytiques}{43}{chapter.8}%
\contentsline {section}{\numberline {8.1}Coordonn\IeC {\'e}es d'un vecteur}{43}{section.8.1}%
\contentsline {subsection}{\numberline {8.1.1}Coordonn\IeC {\'e}es d'un vecteur}{43}{subsection.8.1.1}%
\contentsline {subsection}{\numberline {8.1.2}Coordonn\IeC {\'e}es du vecteur $\mathbf {AB}$}{44}{subsection.8.1.2}%
\contentsline {section}{\numberline {8.2}Op\IeC {\'e}rations sur les vecteurs}{44}{section.8.2}%
\contentsline {subsection}{\numberline {8.2.1}Somme et diff\IeC {\'e}rence de deux vecteurs}{44}{subsection.8.2.1}%
\contentsline {subsection}{\numberline {8.2.2}Produit d'un vecteur par un nombre r\IeC {\'e}el}{44}{subsection.8.2.2}%
\contentsline {subsection}{\numberline {8.2.3}Colin\IeC {\'e}arit\IeC {\'e} de vecteurs}{45}{subsection.8.2.3}%
\contentsline {section}{\numberline {8.3}Norme et distance}{46}{section.8.3}%
\contentsline {subsection}{\numberline {8.3.1}Th\IeC {\'e}or\IeC {\`e}me de Pythagore}{46}{subsection.8.3.1}%
\contentsline {subsection}{\numberline {8.3.2}Norme d'un vecteur}{47}{subsection.8.3.2}%
\contentsline {subsection}{\numberline {8.3.3}Distance entre deux points}{47}{subsection.8.3.3}%
\contentsline {chapter}{\numberline {9}\IeC {\'E}chantillonnage}{49}{chapter.9}%
\contentsline {section}{\numberline {9.1}D\IeC {\'e}finition et g\IeC {\'e}n\IeC {\'e}ralit\IeC {\'e}s}{49}{section.9.1}%
\contentsline {subsection}{\numberline {9.1.1}D\IeC {\'e}finition et exemple}{49}{subsection.9.1.1}%
\contentsline {subsection}{\numberline {9.1.2}Fluctuation d'\IeC {\'e}chantillonnage}{49}{subsection.9.1.2}%
\contentsline {section}{\numberline {9.2}Intervalle de fluctuation au seuil de 95\%}{50}{section.9.2}%
\contentsline {subsection}{\numberline {9.2.1}Pr\IeC {\'e}sentation de la notion}{50}{subsection.9.2.1}%
\contentsline {subsection}{\numberline {9.2.2}Forme d'un tel intervalle}{50}{subsection.9.2.2}%
\contentsline {chapter}{\numberline {10}Droites dans le plan \& syst\IeC {\`e}me d'\IeC {\'e}quations}{51}{chapter.10}%
\contentsline {section}{\numberline {10.1}Droites dans le plan}{51}{section.10.1}%
\contentsline {subsection}{\numberline {10.1.1}Avec des fonctions}{51}{subsection.10.1.1}%
\contentsline {subsection}{\numberline {10.1.2}Avec des vecteurs}{51}{subsection.10.1.2}%
\contentsline {section}{\numberline {10.2}Intersection de droites}{52}{section.10.2}%
\contentsline {subsection}{\numberline {10.2.1}Droites parall\IeC {\`e}les}{52}{subsection.10.2.1}%
\contentsline {subsection}{\numberline {10.2.2}Intersection de deux droites}{52}{subsection.10.2.2}%
\contentsline {chapter}{\numberline {11}Fonctions polynomiales du second degr\IeC {\'e}}{53}{chapter.11}%
\contentsline {section}{\numberline {11.1}Les fonctions $x \DOTSB \mapstochar \rightarrow ax^2 + bx + c$ (avec $a\IeC {\ensuremath {\neq }}0$)}{53}{section.11.1}%
\contentsline {subsection}{\numberline {11.1.1}Fonctions polyn\IeC {\^o}mes de degr\IeC {\'e} 2}{53}{subsection.11.1.1}%
\contentsline {subsection}{\numberline {11.1.2}Sens de variation et courbe repr\IeC {\'e}sentatative}{53}{subsection.11.1.2}%
\contentsline {section}{\numberline {11.2}Signe d'un produit de facteurs du premier degr\IeC {\'e}}{54}{section.11.2}%
\contentsline {subsection}{\numberline {11.2.1}Parabole et lecture graphique}{54}{subsection.11.2.1}%
\contentsline {subsection}{\numberline {11.2.2}Tableau de signes}{55}{subsection.11.2.2}%
\contentsline {chapter}{\numberline {12}Trigonom\IeC {\'e}trie}{57}{chapter.12}%
\contentsline {section}{\numberline {12.1}Enroulement de la droite num\IeC {\'e}rique}{57}{section.12.1}%
\contentsline {subsection}{\numberline {12.1.1}Cercle trigonom\IeC {\'e}trique}{57}{subsection.12.1.1}%
\contentsline {subsection}{\numberline {12.1.2}Enroulement de $\mathbf {R}$ sur un cercle trigonom\IeC {\'e}trique}{57}{subsection.12.1.2}%
\contentsline {subsection}{\numberline {12.1.3}Point image et nombres r\IeC {\'e}els associ\IeC {\'e}s}{57}{subsection.12.1.3}%
\contentsline {section}{\numberline {12.2}Cosinus et sinus d'un nombre r\IeC {\'e}el}{57}{section.12.2}%
\contentsline {subsection}{\numberline {12.2.1}Cosinus et sinus}{57}{subsection.12.2.1}%
\contentsline {subsection}{\numberline {12.2.2}Cosinus et sinus d'un angle aigu}{58}{subsection.12.2.2}%
\babel@toc {french}{}
\babel@toc {french}{}
%Last time of file creation: 1580860023.0004132
This diff is collapsed.
+---+-----------+-----------+-----------+----+
| 0 | 30 | 45 | 60 | 90 |
+---+-----------+-----------+-----------+----+
| 0 | 1/2 | sqrt(2)/2 | sqrt(3)/2 | 1 |
| 1 | sqrt(3)/2 | sqrt(2)/2 | 1/2 | 0 |
+---+-----------+-----------+-----------+----+
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