From 1b2add7357bcac45e05211964179d1f2246a3cad Mon Sep 17 00:00:00 2001 From: Jean-Christophe Jameux Date: Mon, 1 Nov 2021 14:22:17 +0100 Subject: [PATCH] =?UTF-8?q?Version=20bancale=20avant=20grand=20m=C3=A9nage?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- Questions/BTS 1 - DST 1 - Feuille réponse.pdf | Bin 0 -> 113685 bytes Questions/BTS 1 - DST 1 - Grille.pdf | Bin 0 -> 51911 bytes .../BTS 1 - DST 1 - Questions originales.md | 57 ++- .../BTS 1 - DST 1 - Questions originales.tex | 207 ++++++++++ .../BTS 1 - DST 1 - Questions à rédiger.lyx | 354 ++++++++++++++++++ .../BTS 1 - DST 1 - Questions à rédiger.lyx~ | 354 ++++++++++++++++++ .../BTS 1 - DST 1 - Questions à rédiger.pdf | Bin 0 -> 67328 bytes .../BTS 1 - DST 1 - Questions à rédiger.tex | 55 +++ Questions/BTS 1 - DST 1 - Sujet A.aux | 2 + Questions/BTS 1 - DST 1 - Sujet A.log | 237 ++++++++++++ Questions/BTS 1 - DST 1 - Sujet A.pdf | Bin 0 -> 114683 bytes Questions/BTS 1 - DST 1 - 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zk6erk+l8{H>0rI~wWp(9cOA2WHXQH=PxrdwMoG~)w7zW_Y@^31hlWiN*-kqaxKe~4 z_q|i#{mua47}q;vz-%i9GqQyH+h?~*^dH^O#DtuTHmwqTF;moqk__k8AHkwc!?=>u zXUkZMD%mgxZxvY8%~$e+20La6THi;a`r~{}PWo>Whb*2793H;n8|l(=&g$SkmXQRaDRg<<6Q(i&?I&ul@^8~N$lzD7|wDwl{SZ+5Sz4;I&mVC>1uA7`h84v zbf?kC3k`L0ath7N)a!K`rBc}}7x?)2&}cLX&&b_9)?u`4(7oq79B=8+l{P<-6SIJw zM2(=$pB_e~Eo7%AQE9W{ky!RL^UqN8&smYKv@lLW5|zPl1tXz-8oq25JBB!<%?h9f zf`@(#FM$8%i3QpBvwVFFnA_+u*ipbZ`a3pvPO`akVcHrn=};sIK{>HtfM6)=r~$;& zY2j4AY00;wyg-RH&!fcF9aQ4`GP0s|)cgW1`gg9nqJKQ{?XxyOAI{J}u& z&IJaHpA23>k8^>~JufgIFc8eU`@W<^Bo1XK0x@x=Er{E|2GgK@%;6+a;o^PlN}H9i ff0$ +\end{enumerate} + + +a : 3,5,6,7 +b : 4,5,6 +c : 1,2,3,5 + +\item Le nombre $\sqrt{#a#}$ +\begin{enumerate} +\item\MauvaiseReponse est solution de l'équation $x^{2}+#a#=0$ +\item\BonneReponse est solution de l'équation $x^{3}-#a#x=0$ +\item\MauvaiseReponse est solution de l'inéquation $-#b#x+#c#>0$ +\end{enumerate} + + + + +a : 8,9,10,11,12 +b : 2,4,6,8 +c : 1,3,5,7 + +\item Le nombre $#1/a#$ +\begin{enumerate} +\item\MauvaiseReponse est solution de l'équation $#a-1#x+1=0$ +\item\BonneReponse est solution de l'équation $#a#x-1=0$ +\item\MauvaiseReponse est solution de l'inéquation $#b#x+#c#<0$ +\end{enumerate} + + +a : -2,-3,-4,2,3,5 +b : 2,4,-2,3,-3 +c : 3,5 +d : 2,5 +e : 6,8 + +\item Le couple solution du système $\left\{\begin{array}{c}#c#x+#d#y=#c*a+d*b# \\ x-#e#y=#a-e*b#\end{array}\right.$ est +\begin{enumerate} +\item\MauvaiseReponse $(#-2*a#;#b#)$ +\item\MauvaiseReponse $(#b/2# ; #a#)$ +\item\BonneReponse $(#a# ;#b#)$ +\end{enumerate} + + + + + +a : -2,-3,-4,2,3,5 +b : 2,4,3 + +\item $u$ est la suite définie pour tout entier $n \geqslant 1$ par $u_{n}=\frac{#a#n^{2}-#b#}{n^{2}}$. +\begin{enumerate} +\item\MauvaiseReponse $u_{3}=3$ +\item\BonneReponse $u_{3}=#(a* 9-b)/9#$ +\item\MauvaiseReponse $u_{3} =#((a* 3)^2-b)/9#$ +\end{enumerate} + + +a : 3,5 +b : 1,2,3 +c : 2,3,4 + +Soit $\left(u_{n}\right)$ la suite définie par: $u_{0}=#c#$ et, pour tout entier naturel $n$, +\item $u_{n+1}=#a# u_{n}-#b#$, alors : +\begin{enumerate} +\item\MauvaiseReponse $u_{3}=#c#$ +\item\MauvaiseReponse $u_{3}=#b/(a-1)+(c-b/(a-1))* a^2#$ +\item\BonneReponse $u_{3}=#b/(a-1)+(c-b/(a-1))* a^3#$ +\end{enumerate} + + + + +a : 3,4,5 +b : -1,-2,-3 + +\item $v$ est la suite définie par $v_{0}=#b#$ et la relation de récurrence $v_{n+1}=#a#n-v_{n}$, alors : +\begin{enumerate} +\item\BonneReponse $v_{2}=#a+b#$ +\item\MauvaiseReponse $v_{2}=#b-3#$ +\item\MauvaiseReponse $v_{2}=#a+1#$ +\end{enumerate} + + + + + + +a : -3/4,-1/2,-2/3,-1/4,-1/3 +b : -1,-2,-3,-4,-5 + +\item On considère la suite arithmétique $\left(u_{n}\right)$ de premier terme $u_{0}=#b#$ et de raison $r=#a#$. +\begin{enumerate} +\item\MauvaiseReponse $u_{3}=#b#$ +\item\MauvaiseReponse $u_{3}=#b+2* a#$ +\item\BonneReponse $u_{3}=#b+3* a#$ +\end{enumerate} + + + + +a : 3/4,1/2,2/3,1/4,1/3 +b : 5/8,3/7,4/9,2/5 + +Soit $\left(u_{n}\right)$ une suite géométrique de raison $q=#a#$. +\item Sachant que $u_{3}=#b#$, le premier terme $\mathrm{u}_ {0}$ est : +\begin{enumerate} +\item\BonneReponse $#b*(a)^ -3#$ +\item\MauvaiseReponse $#b* (a)^ 3#$ +\item\MauvaiseReponse $#a* (b)^ -3#$ +\end{enumerate} + + + + + + +a : 2,3,4,5,6,8,9 +b : 10,12,15,18 + +Soit la suite $\left(u_{n}\right)$ définie par $u_{n+1}=#a/b#u_n$. +\item Cette suite est : +\begin{enumerate} +\item\MauvaiseReponse croissante +\item\BonneReponse décroissante +\item\MauvaiseReponse constante +\end{enumerate} + +Soit la suite $\left(u_{n}\right)$ définie par $u_{n+1}=#b/a#u_n$. +\item Cette suite est : +\begin{enumerate} +\item\BonneReponse croissante +\item\MauvaiseReponse décroissante +\item\MauvaiseReponse constante +\end{enumerate} + + +a : 2,4 +b : 3,5,8 +c : 6,7,9 + +\item On considère l'équation $#a#x^{2}-#b# x-#c#=0$ alors le discriminant $\Delta$ est égal à : +\begin{enumerate} +\item\BonneReponse $#b^2+4*a*c#$ +\item\MauvaiseReponse $#b^2-4*a*c#$ +\item\MauvaiseReponse $#-(b^2)+4* c#$ +\end{enumerate} + + + +a : 2,3 +b : 1,2,3,4,5,6,7,8,9 + +\item Le nombre de solutions de l'équation $#a#x^{2}-#2*a*b# x+#a* b^2#=0$ est +\begin{enumerate} +\item\MauvaiseReponse $0$ +\item\BonneReponse $1$ +\item\MauvaiseReponse $2$ +\end{enumerate} + + + +a : 2,3,4,5 +b : 6,7,8,9 + +\item L'ensemble des solutions de l'équation $x^{2}+#b-a# x-#a* b#=0$ est : +\begin{enumerate} +\item\MauvaiseReponse $\emptyset$ +\item\BonneReponse $\{#a# ;-#b#\}$ +\item\MauvaiseReponse $\{#a# ; #b#\}$ +\end{enumerate} + + diff --git a/Questions/BTS 1 - DST 1 - Questions à rédiger.lyx b/Questions/BTS 1 - DST 1 - Questions à rédiger.lyx new file mode 100644 index 0000000..5a4aefc --- /dev/null +++ b/Questions/BTS 1 - DST 1 - Questions à rédiger.lyx @@ -0,0 +1,354 @@ +#LyX 2.3 created this file. For more info see http://www.lyx.org/ +\lyxformat 544 +\begin_document +\begin_header +\save_transient_properties true +\origin unavailable +\textclass article +\use_default_options true +\maintain_unincluded_children false +\language french +\language_package default +\inputencoding auto +\fontencoding global +\font_roman "default" "default" +\font_sans "default" "default" +\font_typewriter "default" "default" +\font_math "auto" "auto" +\font_default_family default +\use_non_tex_fonts false +\font_sc false +\font_osf false +\font_sf_scale 100 100 +\font_tt_scale 100 100 +\use_microtype false +\use_dash_ligatures true +\graphics default +\default_output_format default +\output_sync 0 +\bibtex_command default +\index_command default +\paperfontsize default +\spacing single +\use_hyperref false +\papersize default +\use_geometry true +\use_package amsmath 1 +\use_package amssymb 1 +\use_package cancel 1 +\use_package esint 1 +\use_package mathdots 1 +\use_package mathtools 1 +\use_package mhchem 1 +\use_package stackrel 1 +\use_package stmaryrd 1 +\use_package undertilde 1 +\cite_engine basic +\cite_engine_type default +\biblio_style plain +\use_bibtopic false +\use_indices false +\paperorientation portrait +\suppress_date false +\justification true +\use_refstyle 1 +\use_minted 0 +\index Index +\shortcut idx +\color #008000 +\end_index +\leftmargin 5mm +\topmargin 2cm +\rightmargin 5mm +\bottommargin 5mm +\secnumdepth 3 +\tocdepth 3 +\paragraph_separation indent +\paragraph_indentation default +\is_math_indent 0 +\math_numbering_side default +\quotes_style french +\dynamic_quotes 0 +\papercolumns 1 +\papersides 1 +\paperpagestyle empty +\tracking_changes false +\output_changes false +\html_math_output 0 +\html_css_as_file 0 +\html_be_strict false +\end_header + +\begin_body + +\begin_layout Standard +\begin_inset ERT +status open + +\begin_layout Plain Layout + + +\backslash +null +\end_layout + +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset VSpace vfill +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset Box Boxed +position "t" +hor_pos "c" +has_inner_box 1 +inner_pos "t" +use_parbox 0 +use_makebox 0 +width "65col%" +special "none" +height "1in" +height_special "totalheight" +thickness "0.4pt" +separation "3pt" +shadowsize "4pt" +framecolor "black" +backgroundcolor "none" +status open + +\begin_layout Plain Layout +\begin_inset VSpace 1cm +\end_inset + + +\end_layout + +\begin_layout Plain Layout +Soit la suite +\begin_inset Formula $u$ +\end_inset + + telle que +\begin_inset Formula $u_{0}=2$ +\end_inset + + et +\begin_inset Formula $u_{n+1}=5u_{n}+4$ +\end_inset + + pour tout entier +\begin_inset Formula $n\geqslant1$ +\end_inset + +, et soit +\begin_inset Formula $v$ +\end_inset + + la suite définie par +\begin_inset Formula $v_{n}=u_{n}+1$ +\end_inset + + pour tout entier +\begin_inset Formula $n\geqslant1$ +\end_inset + +. +\end_layout + +\begin_layout Plain Layout +Montrer que la suite +\begin_inset Formula $v$ +\end_inset + + est une suite géométrique dont on donnera la raison et le premier terme + puis donner une formule pour +\begin_inset Formula $v_{n}$ +\end_inset + + puis pour +\begin_inset Formula $u_{n}$ +\end_inset + + en fonction de l'entier naturel +\begin_inset Formula $n$ +\end_inset + +. +\end_layout + +\begin_layout Plain Layout +\begin_inset VSpace 1cm +\end_inset + + +\end_layout + +\begin_layout Plain Layout +\begin_inset ERT +status open + +\begin_layout Plain Layout + + +\backslash +hrule +\backslash +vspace{8mm} +\backslash +hrule +\backslash +vspace{8mm} +\backslash +hrule +\backslash +vspace{8mm} +\backslash +hrule +\backslash +vspace{8mm} +\backslash +hrule +\backslash +vspace{8mm} +\backslash +hrule +\backslash +vspace{8mm} +\backslash +hrule +\backslash +vspace{8mm} +\backslash +hrule +\backslash +vspace{8mm} +\end_layout + +\end_inset + + +\end_layout + +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset VSpace 5mm +\end_inset + + +\begin_inset Box Boxed +position "t" +hor_pos "c" +has_inner_box 1 +inner_pos "t" +use_parbox 0 +use_makebox 0 +width "100col%" +special "none" +height "1in" +height_special "totalheight" +thickness "0.4pt" +separation "3pt" +shadowsize "4pt" +framecolor "black" +backgroundcolor "none" +status open + +\begin_layout Plain Layout +\begin_inset VSpace 1cm +\end_inset + + +\end_layout + +\begin_layout Plain Layout +Établir, en faisant apparaitre les calculs, le tableau de signe sur +\begin_inset Formula $\mathbb{R}$ +\end_inset + + de la fonction +\begin_inset Formula $f:x\mapsto3x^{2}+4x-7$ +\end_inset + + et en déduire les solutions sur +\begin_inset Formula $\mathbb{R}$ +\end_inset + + de l'inéquation +\begin_inset Formula $3x^{2}+4x+8\leqslant15$ +\end_inset + +. +\end_layout + +\begin_layout Plain Layout +(Si vous ne parvenez pas à le faire par le calcul, une résolution graphique + du problème rapportera une partie des points) +\end_layout + +\begin_layout Plain Layout +\begin_inset VSpace 1cm +\end_inset + + +\end_layout + +\begin_layout Plain Layout +\begin_inset ERT +status open + +\begin_layout Plain Layout + + +\backslash +hrule +\backslash +vspace{8mm} +\backslash +hrule +\backslash +vspace{8mm} +\backslash +hrule +\backslash +vspace{8mm} +\backslash +hrule +\backslash +vspace{8mm} +\backslash +hrule +\backslash +vspace{8mm} +\backslash +hrule +\backslash +vspace{8mm} +\backslash +hrule +\backslash +vspace{8mm} +\end_layout + +\end_inset + + +\end_layout + +\end_inset + + +\end_layout + +\end_body +\end_document diff --git a/Questions/BTS 1 - DST 1 - Questions à rédiger.lyx~ b/Questions/BTS 1 - DST 1 - Questions à rédiger.lyx~ new file mode 100644 index 0000000..463768b --- /dev/null +++ b/Questions/BTS 1 - DST 1 - Questions à rédiger.lyx~ @@ -0,0 +1,354 @@ +#LyX 2.3 created this file. For more info see http://www.lyx.org/ +\lyxformat 544 +\begin_document +\begin_header +\save_transient_properties true +\origin unavailable +\textclass article +\use_default_options true +\maintain_unincluded_children false +\language french +\language_package default +\inputencoding auto +\fontencoding global +\font_roman "default" "default" +\font_sans "default" "default" +\font_typewriter "default" "default" +\font_math "auto" "auto" +\font_default_family default +\use_non_tex_fonts false +\font_sc false +\font_osf false +\font_sf_scale 100 100 +\font_tt_scale 100 100 +\use_microtype false +\use_dash_ligatures true +\graphics default +\default_output_format default +\output_sync 0 +\bibtex_command default +\index_command default +\paperfontsize default +\spacing single +\use_hyperref false +\papersize default +\use_geometry true +\use_package amsmath 1 +\use_package amssymb 1 +\use_package cancel 1 +\use_package esint 1 +\use_package mathdots 1 +\use_package mathtools 1 +\use_package mhchem 1 +\use_package stackrel 1 +\use_package stmaryrd 1 +\use_package undertilde 1 +\cite_engine basic +\cite_engine_type default +\biblio_style plain +\use_bibtopic false +\use_indices false +\paperorientation portrait +\suppress_date false +\justification true +\use_refstyle 1 +\use_minted 0 +\index Index +\shortcut idx +\color #008000 +\end_index +\leftmargin 5mm +\topmargin 2cm +\rightmargin 5mm +\bottommargin 5mm +\secnumdepth 3 +\tocdepth 3 +\paragraph_separation indent +\paragraph_indentation default +\is_math_indent 0 +\math_numbering_side default +\quotes_style french +\dynamic_quotes 0 +\papercolumns 1 +\papersides 1 +\paperpagestyle empty +\tracking_changes false +\output_changes false +\html_math_output 0 +\html_css_as_file 0 +\html_be_strict false +\end_header + +\begin_body + +\begin_layout Standard +\begin_inset ERT +status open + +\begin_layout Plain Layout + + +\backslash +null +\end_layout + +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset VSpace vfill +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset Box Boxed +position "t" +hor_pos "c" +has_inner_box 1 +inner_pos "t" +use_parbox 0 +use_makebox 0 +width "65col%" +special "none" +height "1in" +height_special "totalheight" +thickness "0.4pt" +separation "3pt" +shadowsize "4pt" +framecolor "black" +backgroundcolor "none" +status open + +\begin_layout Plain Layout +\begin_inset VSpace 1cm +\end_inset + + +\end_layout + +\begin_layout Plain Layout +Soit la suite +\begin_inset Formula $u$ +\end_inset + + telle que +\begin_inset Formula $u_{0}=2$ +\end_inset + + et +\begin_inset Formula $u_{n+1}=5u_{n}+4$ +\end_inset + + pour tout entier +\begin_inset Formula $n\geqslant1$ +\end_inset + +, et soit +\begin_inset Formula $v$ +\end_inset + + la suite définie par +\begin_inset Formula $v_{n}=u_{n}+1$ +\end_inset + + pour tout entier +\begin_inset Formula $n\geqslant1$ +\end_inset + +. +\end_layout + +\begin_layout Plain Layout +Montrer que la suite +\begin_inset Formula $v$ +\end_inset + + est une suite géométrique dont on donnera la raison et le premier terme + puis donner une formule pour +\begin_inset Formula $v_{n}$ +\end_inset + + puis pour +\begin_inset Formula $u_{n}$ +\end_inset + + en fonction de l'entier naturel +\begin_inset Formula $n$ +\end_inset + +. +\end_layout + +\begin_layout Plain Layout +\begin_inset VSpace 1cm +\end_inset + + +\end_layout + +\begin_layout Plain Layout +\begin_inset ERT +status open + +\begin_layout Plain Layout + + +\backslash +hrule +\backslash +vspace{8mm} +\backslash +hrule +\backslash +vspace{8mm} +\backslash +hrule +\backslash +vspace{8mm} +\backslash +hrule +\backslash +vspace{8mm} +\backslash +hrule +\backslash +vspace{8mm} +\backslash +hrule +\backslash +vspace{8mm} +\backslash +hrule +\backslash +vspace{8mm} +\backslash +hrule +\backslash +vspace{8mm} +\end_layout + +\end_inset + + +\end_layout + +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset VSpace 1cm +\end_inset + + +\begin_inset Box Boxed +position "t" +hor_pos "c" +has_inner_box 1 +inner_pos "t" +use_parbox 0 +use_makebox 0 +width "100col%" +special "none" +height "1in" +height_special "totalheight" +thickness "0.4pt" +separation "3pt" +shadowsize "4pt" +framecolor "black" +backgroundcolor "none" +status open + +\begin_layout Plain Layout +\begin_inset VSpace 1cm +\end_inset + + +\end_layout + +\begin_layout Plain Layout +Établir, en faisant apparaitre les calculs, le tableau de signe sur +\begin_inset Formula $\mathbb{R}$ +\end_inset + + de la fonction +\begin_inset Formula $f:x\mapsto3x^{2}+4x-7$ +\end_inset + + et en déduire les solutions sur +\begin_inset Formula $\mathbb{R}$ +\end_inset + + de l'inéquation +\begin_inset Formula $3x^{2}+4x+8\leqslant15$ +\end_inset + +. +\end_layout + +\begin_layout Plain Layout +(Si vous ne parvenez pas à le faire par le calcul, une résolution graphique + du problème rapportera une partie des points) +\end_layout + +\begin_layout Plain 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$f:x\mapsto3x^{2}+4x-7$ et en déduire +les solutions sur $\mathbb{R}$ de l'inéquation $3x^{2}+4x+8\leqslant15$. + +(Si vous ne parvenez pas à le faire par le calcul, une résolution +graphique du problème rapportera une partie des points) + +\vspace{1cm} + +\hrule\vspace{8mm}\hrule\vspace{8mm}\hrule\vspace{8mm}\hrule\vspace{8mm}\hrule\vspace{8mm}\hrule\vspace{8mm}\hrule\vspace{8mm}% +\end{minipage}} +\end{document} diff --git a/Questions/BTS 1 - DST 1 - Sujet A.aux b/Questions/BTS 1 - DST 1 - Sujet A.aux new file mode 100644 index 0000000..d490c35 --- /dev/null +++ b/Questions/BTS 1 - DST 1 - Sujet A.aux @@ -0,0 +1,2 @@ +\relax +\gdef \@abspage@last{2} diff --git a/Questions/BTS 1 - DST 1 - Sujet A.log b/Questions/BTS 1 - DST 1 - Sujet A.log new file mode 100644 index 0000000..efe5e1f --- /dev/null +++ b/Questions/BTS 1 - DST 1 - Sujet A.log @@ -0,0 +1,237 @@ +This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 20.11) (preloaded format=pdflatex 2020.11.23) 27 OCT 2021 13:20 +entering 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z=N@Q-qA)l>!2dxGP&zt)NC>(efIvvt#mNr8+Xm1E7sTKIiG%>o>rXk92f*e#|H*OP?&Op2uwL74Bh^KeHa{_ z126F`#(W`w<3;BW0)}2}R{!7t z0v1GJ${{i40RcLr`v?f|B~*;}0Rah}XTY1H`*t8$Lojp>fx76drc1zjHyC=!J+ zE)0y}+aWM0hW~@W;F#mWP#EhM_(CgiJ`NgJf`G%vXoF*77DOV^bq;}p;h1d~pMufG zfTJ*cECc~VV(18gz*zebBp8Ol3lf+J`WQ$QMm&O`pcv~20)$ZXzR-(kf%ZPYyM+8wx!i%CGs-rxGKjk|!R zi;E}l7r?>Ahj0aF8yDaS==Il=G?S6YZRl+zu0$ + +\end{enumerate} + + + +\item Le nombre $\sqrt{6}$ + +\begin{enumerate} + +\item\MauvaiseReponse est solution de l'équation $x^{2}+6=0$ + +\item\BonneReponse est solution de l'équation $x^{3}-6x=0$ + +\item\MauvaiseReponse est solution de l'inéquation $-6x+2>0$ + +\end{enumerate} + +\newpage + +\item Le nombre $\frac{1}{8}$ + +\begin{enumerate} + +\item\BonneReponse est solution de l'équation $8x-1=0$ +\item\MauvaiseReponse est solution de l'équation $7x+1=0$ + + +\item\MauvaiseReponse est solution de l'inéquation $8x+3<0$ + +\end{enumerate} + + + +\item Le couple solution du système $\left\{\begin{array}{c}5x+2y=-7 \\ x-8y=-35\end{array}\right.$ est + +\begin{enumerate} + +\item\MauvaiseReponse $(6;4)$ + +\item\BonneReponse $(-3 ;4)$ +\item\MauvaiseReponse $(2 ; -3)$ + + +\end{enumerate} + + + + + + +\item $u$ est la suite définie pour tout entier $n \geqslant 1$ par $u_{n}=\frac{-2n^{2}-4}{n^{2}}$. + +\begin{enumerate} + +\item\MauvaiseReponse $u_{3}=3$ + + +\item\MauvaiseReponse $u_{3} =\frac{32}{9}$ +\item\BonneReponse $u_{3}=-\frac{22}{9}$ + +\end{enumerate} + + + +\item Soit $\left(u_{n}\right)$ la suite définie par: $u_{0}=2$ et, pour tout entier naturel $n$, $u_{n+1}=3 u_{n}-3$, alors : + +\begin{enumerate} + +\item\MauvaiseReponse $u_{3}=2$ + +\item\BonneReponse $u_{3}=15$ +\item\MauvaiseReponse $u_{3}=6$ + + +\end{enumerate} + + + +\newpage + +\item $v$ est la suite définie par $v_{0}=-2$ et la relation de récurrence\\ $v_{n+1}=4n-v_{n}$, alors : + +\begin{enumerate} + + +\item\MauvaiseReponse $v_{2}=-5$ +\item\BonneReponse $v_{2}=2$ + +\item\MauvaiseReponse $v_{2}=5$ + +\end{enumerate} + + + +\item On considère la suite arithmétique $\left(u_{n}\right)$ de premier terme $u_{0}=-3$\\ et de raison $r=-\frac{1}{2}$. + +\begin{enumerate} + +\item\MauvaiseReponse $u_{3}=-3$ + +\item\BonneReponse $u_{3}=-\frac{9}{2}$ +\item\MauvaiseReponse $u_{3}=-4$ + + +\end{enumerate} + + + +\item Soit $\left(u_{n}\right)$ une suite géométrique de raison $q=\frac{1}{4}$. Sachant que $u_{3}=\frac{5}{8}$,\\ le premier terme $\mathrm{u}_ {0}$ est : + +\begin{enumerate} + + +\item\MauvaiseReponse $\frac{5}{512}$ +\item\BonneReponse $40$ + +\item\MauvaiseReponse $\frac{128}{125}$ + +\end{enumerate} + + + +\item Soit la suite $\left(u_{n}\right)$ définie par $u_{n+1}=\frac{1}{6}u_n$. Cette suite est : + +\begin{enumerate} + +\item\BonneReponse décroissante +\item\MauvaiseReponse croissante + + +\item\MauvaiseReponse constante + +\end{enumerate} + +\newpage + + +\item On considère l'équation $2x^{2}-5 x-9=0$ alors le discriminant $\Delta$ est égal à : + +\begin{enumerate} + + +\item\MauvaiseReponse $-47$ +\item\BonneReponse $97$ + +\item\MauvaiseReponse $11$ + +\end{enumerate} + + +\item Le nombre de solutions de l'équation $3x^{2}-48 x+192=0$ est + +\begin{enumerate} + +\item\MauvaiseReponse $0$ + + +\item\MauvaiseReponse $2$ +\item\BonneReponse $1$ + +\end{enumerate} + + + +\item L'ensemble des solutions de l'équation $x^{2}+3 x-28=0$ est : + +\begin{enumerate} + +\item\BonneReponse $\{4 ;-7\}$ +\item\MauvaiseReponse $\emptyset$ + + +\item\MauvaiseReponse $\{4 ; 7\}$ + +\end{enumerate} + + + + + + +\end{enumerate} + +\end{document} diff --git a/Questions/BTS 1 - DST 1 - Sujet C.aux b/Questions/BTS 1 - DST 1 - Sujet C.aux new file mode 100644 index 0000000..d490c35 --- /dev/null +++ b/Questions/BTS 1 - DST 1 - Sujet C.aux @@ -0,0 +1,2 @@ +\relax +\gdef \@abspage@last{2} diff --git a/Questions/BTS 1 - DST 1 - Sujet C.log b/Questions/BTS 1 - DST 1 - Sujet C.log new file mode 100644 index 0000000..b2d4881 --- /dev/null +++ b/Questions/BTS 1 - DST 1 - Sujet C.log @@ -0,0 +1,226 @@ +This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 20.11) (preloaded format=pdflatex 2020.11.23) 27 OCT 2021 13:20 +entering extended mode +**"./BTS 1 - DST 1 - Sujet C.tex" +("BTS 1 - DST 1 - Sujet C.tex" +LaTeX2e <2020-10-01> patch level 2 +L3 programming layer <2020-10-27> xparse <2020-03-03> +("C:\Program Files\MiKTeX\tex/latex/base\book.cls" +Document Class: book 2020/04/10 v1.4m Standard LaTeX document class +("C:\Program Files\MiKTeX\tex/latex/base\bk10.clo" +File: bk10.clo 2020/04/10 v1.4m Standard LaTeX file (size option) +) +\c@part=\count175 +\c@chapter=\count176 +\c@section=\count177 +\c@subsection=\count178 +\c@subsubsection=\count179 +\c@paragraph=\count180 +\c@subparagraph=\count181 +\c@figure=\count182 +\c@table=\count183 +\abovecaptionskip=\skip47 +\belowcaptionskip=\skip48 +\bibindent=\dimen138 +) +("C:\Program Files\MiKTeX\tex/latex/base\fontenc.sty" +Package: fontenc 2020/08/10 v2.0s Standard LaTeX package +) +("C:\Program Files\MiKTeX\tex/latex/base\inputenc.sty" +Package: inputenc 2020/08/01 v1.3d Input encoding file +\inpenc@prehook=\toks15 +\inpenc@posthook=\toks16 +) +(C:\Users\Echophile\AppData\Roaming\MiKTeX\tex/latex/geometry\geometry.sty +Package: geometry 2020/01/02 v5.9 Page Geometry + +("C:\Program Files\MiKTeX\tex/latex/graphics\keyval.sty" +Package: keyval 2014/10/28 v1.15 key=value parser (DPC) +\KV@toks@=\toks17 +) +("C:\Program Files\MiKTeX\tex/generic/iftex\ifvtex.sty" +Package: ifvtex 2019/10/25 v1.7 ifvtex legacy package. 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100644 index 0000000..fd02327 --- /dev/null +++ b/Questions/BTS 1 - DST 1 - Sujet C.tex @@ -0,0 +1,264 @@ +\documentclass[oneside,twocolumn,landscape]{book} +\usepackage[T1]{fontenc} +\usepackage[utf8]{inputenc} +\usepackage{geometry} +\geometry{verbose,tmargin=1cm,bmargin=1cm,lmargin=2cm,rmargin=2cm} +\setcounter{secnumdepth}{3} +\setcounter{tocdepth}{3} +\usepackage{amsmath} +\usepackage{amssymb} +\usepackage{amsfonts} + +\pagestyle{empty} + + +\begin{document} + +\section*{Contrôle de Mathématiques} + +\let\MauvaiseReponse\null +\let\BonneReponse\null + + + +{\bf Merci de répondre sur la grille fournie et de ne pas oublier de traiter les deux questions au verso en évitant de sortir des cadres. Vous prendrez soin de rendre le sujet avec cette grille.} +\vspace{2em} + + + +\begin{enumerate} + + +\item L'ensemble des solutions de l'inéquation $-4 x+8<9$ est : + +\begin{enumerate} + +\item\MauvaiseReponse $\mathbb{R}$ + + +\item\MauvaiseReponse $]-\infty, \frac{1}{4}]$ +\item\BonneReponse $]-\frac{1}{4},+\infty[$ + +\end{enumerate} + + + + + + +\item L'ensemble des solutions de l'inéquation $-5x+4 \geqslant 3$ + +\begin{enumerate} + +\item\MauvaiseReponse $\mathbb{R}$ + +\item\BonneReponse $]-\infty,\frac{1}{5}]$ +\item\MauvaiseReponse $[\frac{1}{5},+\infty[$ + + +\end{enumerate} + + + + + +\item Le nombre $\frac{1}{4}$ + +\begin{enumerate} + +\item\MauvaiseReponse est solution de l'équation $4x+1=0$ +\item\BonneReponse est solution de l'inéquation $4x+5>0$ + +\item\MauvaiseReponse est solution de l'équation $x+4=0$ + + +\end{enumerate} + + + +\item Le nombre $\sqrt{7}$ + +\begin{enumerate} + +\item\BonneReponse est solution de l'équation $x^{3}-7x=0$ +\item\MauvaiseReponse est solution de l'équation $x^{2}+7=0$ + + +\item\MauvaiseReponse est solution de l'inéquation $-5x+3>0$ + +\end{enumerate} + +\newpage + +\item Le nombre $\frac{1}{10}$ + +\begin{enumerate} + +\item\MauvaiseReponse est solution de l'équation $9x+1=0$ + + +\item\MauvaiseReponse est solution de l'inéquation $2x+3<0$ +\item\BonneReponse est solution de l'équation $10x-1=0$ + +\end{enumerate} + + +\item Le couple solution du système $\left\{\begin{array}{c}3x+5y=-24 \\ x-6y=15\end{array}\right.$ est + +\begin{enumerate} + +\item\MauvaiseReponse $(6;-3)$ + +\item\BonneReponse $(-3 ;-3)$ +\item\MauvaiseReponse $(-\frac{3}{2} ; -3)$ + + +\end{enumerate} + + + + + + + + +\item $u$ est la suite définie pour tout entier $n \geqslant 1$ par $u_{n}=\frac{-3n^{2}-4}{n^{2}}$. + +\begin{enumerate} + +\item\MauvaiseReponse $u_{3}=3$ + + +\item\MauvaiseReponse $u_{3} =\frac{77}{9}$ +\item\BonneReponse $u_{3}=-\frac{31}{9}$ + +\end{enumerate} + + +\item Soit $\left(u_{n}\right)$ la suite définie par: $u_{0}=3$ et, pour tout entier naturel $n$, $u_{n+1}=5 u_{n}-2$, alors : + +\begin{enumerate} + +\item\BonneReponse $u_{3}=313$ +\item\MauvaiseReponse $u_{3}=3$ + +\item\MauvaiseReponse $u_{3}=63$ + + +\end{enumerate} + +\newpage + +\item $v$ est la suite définie par $v_{0}=-3$ et la relation de récurrence\\ $v_{n+1}=4n-v_{n}$, alors : + +\begin{enumerate} + + +\item\MauvaiseReponse $v_{2}=-6$ + +\item\MauvaiseReponse $v_{2}=5$ +\item\BonneReponse $v_{2}=1$ + +\end{enumerate} + + + +\item On considère la suite arithmétique $\left(u_{n}\right)$ de premier terme $u_{0}=-5$\\ et de raison $r=-\frac{2}{3}$. + +\begin{enumerate} + +\item\BonneReponse $u_{3}=-7$ +\item\MauvaiseReponse $u_{3}=-5$ + +\item\MauvaiseReponse $u_{3}=-\frac{19}{3}$ + + +\end{enumerate} + + + +\item Soit $\left(u_{n}\right)$ une suite géométrique de raison $q=\frac{1}{3}$. Sachant que $u_{3}=\frac{4}{9}$,\\ le premier terme $\mathrm{u}_ {0}$ est : + +\begin{enumerate} + + +\item\MauvaiseReponse $\frac{4}{243}$ + +\item\MauvaiseReponse $\frac{243}{64}$ +\item\BonneReponse $12$ + +\end{enumerate} + + + + + +\item Soit la suite $\left(u_{n}\right)$ définie par $u_{n+1}=\frac{4}{15}u_n$. Cette suite est : + +\begin{enumerate} + +\item\MauvaiseReponse croissante + + +\item\MauvaiseReponse constante +\item\BonneReponse décroissante + +\end{enumerate} + +\newpage + + +\item On considère l'équation $4x^{2}-8 x-9=0$ alors le discriminant $\Delta$ est égal à : + +\begin{enumerate} + + +\item\MauvaiseReponse $-80$ + +\item\MauvaiseReponse $-28$ +\item\BonneReponse $208$ + +\end{enumerate} + + + +\item Le nombre de solutions de l'équation $2x^{2}-20 x+50=0$ est + +\begin{enumerate} + +\item\BonneReponse $1$ +\item\MauvaiseReponse $0$ + + +\item\MauvaiseReponse $2$ + +\end{enumerate} + + + +\item L'ensemble des solutions de l'équation $x^{2}+7 x-18=0$ est : + +\begin{enumerate} + +\item\MauvaiseReponse $\emptyset$ + + +\item\MauvaiseReponse $\{2 ; 9\}$ +\item\BonneReponse $\{2 ;-9\}$ + +\end{enumerate} + + + + + + + + +\end{enumerate} + +\end{document} + + + + diff --git a/Questions/TSP - DST 1 - Questions originales.md b/Questions/TSP - DST 1 - Questions originales.md new file mode 100644 index 0000000..a3bd9bb --- /dev/null +++ b/Questions/TSP - DST 1 - Questions originales.md @@ -0,0 +1,265 @@ +# TSP - DST 1 - Questions originales + +a : -2,-3,-4,-5 +b : 2,4,6,8 +c : 1,3,5,7,9 + +\item L'ensemble des solutions de l'inéquation $#a# x+#b#<#c#$ est : +\begin{enumerate} +\item\MauvaiseReponse $\mathbb{R}$ +\item\BonneReponse $]#(c-b)/a#,+\infty[$ +\item\MauvaiseReponse $]-\infty, #(b-c)/a#]$ +\end{enumerate} + + +a : -2,-3,-4,-5 +b : 2,4,6,8 +c : 1,3,5,7,9 + +\item L'ensemble des solutions de l'inéquation $#a#x+#b# \geqslant #c#$ +\begin{enumerate} +\item\MauvaiseReponse $\mathbb{R}$ +\item\MauvaiseReponse $[#(c-b)/a#,+\infty[$ +\item\BonneReponse $]-\infty,#(c-b)/a#]$ +\end{enumerate} + + +a : 2,3,4 +b : 2,4,6,8 +c : 1,3,5,7,9 + +\item Le nombre $#1/b#$ +\begin{enumerate} +\item\MauvaiseReponse est solution de l'équation $#b#x+1=0$ +\item\MauvaiseReponse est solution de l'équation $x+#b#=0$ +\item\BonneReponse est solution de l'inéquation $#a#x+#c#>0$ +\end{enumerate} + + +a : 3,5,6,7 +b : 4,5,6 +c : 1,2,3,5 + +\item Le nombre $\sqrt{#a#}$ +\begin{enumerate} +\item\MauvaiseReponse est solution de l'équation $x^{2}+#a#=0$ +\item\BonneReponse est solution de l'équation $x^{3}-#a#x=0$ +\item\MauvaiseReponse est solution de l'inéquation $-#b#x+#c#>0$ +\end{enumerate} + + + + +a : 8,9,10,11,12 +b : 2,4,6,8 +c : 1,3,5,7 + +\item Le nombre $#1/a#$ +\begin{enumerate} +\item\MauvaiseReponse est solution de l'équation $#a-1#x+1=0$ +\item\BonneReponse est solution de l'équation $#a#x-1=0$ +\item\MauvaiseReponse est solution de l'inéquation $#b#x+#c#<0$ +\end{enumerate} + + +a : -2,-3,-4,2,3,5 +b : 2,4,-2,3,-3 +c : 3,5 +d : 2,5 +e : 6,8 + +\item Le couple solution du système $\left\{\begin{array}{c}#c#x+#d#y=#c*a+d*b# \\ x-#e#y=#a-e*b#\end{array}\right.$ est +\begin{enumerate} +\item\MauvaiseReponse $(#-2*a#;#b#)$ +\item\MauvaiseReponse $(#b/2# ; #a#)$ +\item\BonneReponse $(#a# ;#b#)$ +\end{enumerate} + + + + + + +a : 2,3,4,5 +b : 6,7,8,9 + +\item L'ensemble des solutions de l'équation $x^{2}+#b-a# x-#a* b#=0$ est : +\begin{enumerate} +\item\MauvaiseReponse $\emptyset$ +\item\BonneReponse $\{#a# ;-#b#\}$ +\item\MauvaiseReponse $\{#a# ; #b#\}$ +\end{enumerate} + + +a : 15/2,12/5,6/7 +b : 3/4,3/8,5/4 +c : 2,3 + +\item $#a# - #b# \times#c#=$ +\begin{enumerate} +\item\MauvaiseReponse $#(a-b)* c#$ +\item\MauvaiseReponse $#a-b#$ +\item\BonneReponse $#a-b* c#$ +\end{enumerate} + + +a : 13/2,9/5,5/7 +b : 1/4,1/8,1/3 + +\item $\frac{#a#-1}{#b#+1}=$ +\begin{enumerate} +\item\BonneReponse $#(a-1)/(b+1)#$ +\item\MauvaiseReponse $#a/b#$ +\item\MauvaiseReponse $#(a-1)* (b+1)#$ +\end{enumerate} + + + +a : 2,4,6,8 +b : 10,12,14,16,18,20 + +\item Dans un triangle $ABC$ rectangle en $A$, si $AB=#a#$ et $BC=#b#$, alors +\begin{enumerate} +\item\MauvaiseReponse $\sin (\hat{B})=#a/b#$ +\item\BonneReponse $AC=\sqrt{#b^2-a^2#}$ +\item\MauvaiseReponse $\cos (\hat{C})=#a/b#$ +\end{enumerate} + + + +a : 2,4,6,8 +b : 10,12,14,16,18,20 + +\item Dans un triangle $ABC$ rectangle en $A$, si $AB=#a#$ et $BC=#b#$, alors +\begin{enumerate} +\item\MauvaiseReponse $\tan (\hat{C})=#a/b#$ +\item\MauvaiseReponse $AC=\sqrt{#a^2+b^2#}$ +\item\BonneReponse $\cos (\hat{B})=#a/b#$ +\end{enumerate} + + + +a : 2,4,6,8 +b : 10,15,20,25,30,35,40 + +\item Dans un triangle $ABC$ rectangle en $A$, si $AB=#a#\mathrm{cm}$ et $AC=#b#\mathrm{mm}$, alors $\hat{B}=$ : +\begin{enumerate} +\item\MauvaiseReponse $#10* a#\times\arctan\left(#b#\right)$ +\item\BonneReponse $\arctan\left(\frac{#b#}{#10* a#}\right)$ +\item\MauvaiseReponse $\frac{\arctan\left(#b/10#\right)}{#a#}$ +\end{enumerate} + + +a : 10,15,20,25,30,35,40 + +\item Dans un triangle $ABC$ rectangle en $B$, si $\widehat{A}=#a#^{\circ}$ alors +\begin{enumerate} +\item\MauvaiseReponse $\widehat{C}=#100-a#^{\circ}$ +\item\MauvaiseReponse $\widehat{C}=#a+45#^{\circ}$ +\item\BonneReponse $\widehat{C}=#90-a#^{\circ}$ +\end{enumerate} + + + + + + + + + + + + + + + + + + + + + + +a : 50,55,60,65,70,75,80 + +\item Dans un triangle $ABC$ rectangle en $B$, si $\widehat{A}=#a#^{\circ}$ alors +\begin{enumerate} +\item\MauvaiseReponse $\widehat{C}=#100-a#^{\circ}$ +\item\MauvaiseReponse $\widehat{C}=#a-45#^{\circ}$ +\item\BonneReponse $\widehat{C}=#90-a#^{\circ}$ +\end{enumerate} + + + +n : 3,4,5,6,7,8,9,10,11 + +\item Si $ABC$ est un triangle rectangle en $B$ tel que $AB=#n^2-1#\mathrm{cm}$ et $BC=#2*n#\mathrm{cm}$, alors le segment $\left[AC\right]$ mesure : +\begin{enumerate} +\item\BonneReponse $#n^2+1#\mathrm{cm}$ +\item\MauvaiseReponse $#n^2+2*n-1#\mathrm{cm}$ +\item\MauvaiseReponse $#n^2-2* n-1#\mathrm{cm}$ +\end{enumerate} + + +n : 3,4,5,6,7,8,9,10,11 + +\item Si $ABC$ est un triangle rectangle en $B$ tel que $AB=#2*n+1#\mathrm{cm}$ et $AC=#2*n^2+2*n+1#\mathrm{cm}$, alors le segment $\left[BC\right]$ mesure : +\begin{enumerate} +\item\BonneReponse $#2*n^2+2*n#\mathrm{cm}$ +\item\MauvaiseReponse $#n^2+2*n-1#\mathrm{cm}$ +\item\MauvaiseReponse $#2*n^2+4* n+2#\mathrm{cm}$ +\end{enumerate} + + + +n : 3,4,5,6,7,8,9,10,11 + + +\item Dans quel cas le triangle $ABC$ est-il rectangle ? +\begin{enumerate} +\item\BonneReponse $AB=#n^2-1#\mathrm{cm}$, $AC=#n^2+1#\mathrm{cm}$ et $BC=#2* n#\mathrm{cm}$ +\item\MauvaiseReponse $AB=#n^2-1#\mathrm{cm}$, $AC=#n^2+2* n-1#\mathrm{cm}$ et $BC=#2* n#\mathrm{cm}$ +\item\MauvaiseReponse $AB=#n^2-1#\mathrm{cm}$, $AC=#n^2-2* n-1#\mathrm{cm}$ et $BC=#2* n#\mathrm{cm}$ +\end{enumerate} + + + + + +a : 6,18,30 +b : 12,24,36 +k : 2/3,3/2 + +\item On considère deux triangles non plat $ABC$ et $A^\prime B^\prime C^\prime$ tels que $\left(AB\right)//\left(A^{\prime}B^{\prime}\right)$, $\left(AC\right)//\left(A^{\prime}C^{\prime}\right)$ et $\left(CB\right)//\left(C^{\prime}B^{\prime}\right)$. Si on a $AB=#a#\mathrm{cm}$, $AC=#b#\mathrm{cm}$ et $A^{\prime}B^{\prime}=#a*k#\mathrm{mm}$, alors $A^{\prime}C^{\prime}=$ +\begin{enumerate} +\item\BonneReponse $#b*k#\mathrm{mm}$ +\item\MauvaiseReponse $#a/k#\mathrm{cm}$ +\item\MauvaiseReponse $#b/k#\mathrm{cm}$ +\end{enumerate} + + +a : 5,15,25 +b : 10,20,30 +k : 2/5,5/2 + +\item On considère deux triangles non plat $ABC$ et $A^\prime B^\prime C^\prime$ tels que $\left(AB\right)//\left(A^{\prime}B^{\prime}\right)$, $\left(AC\right)//\left(A^{\prime}C^{\prime}\right)$ et $\left(CB\right)//\left(C^{\prime}B^{\prime}\right)$. Si on a $AB=#a#\mathrm{mm}$, $AC=#b#\mathrm{mm}$ et $A^{\prime}B^{\prime}=#a* k#\mathrm{cm}$, alors $A^{\prime}C^{\prime}=$ +\begin{enumerate} +\item\BonneReponse $#10*b*k#\mathrm{mm}$ +\item\MauvaiseReponse $#b/k#\mathrm{mm}$ +\item\MauvaiseReponse $#b/k#\mathrm{cm}$ +\end{enumerate} + + + +a : 21,63 +b : 42,84 +k : 3/7,7/3 + + +\item On considère deux triangles non plat $ABC$ et $A^\prime B^\prime C^\prime$ tels que $\left(AB\right)//\left(A^{\prime}B^{\prime}\right)$ et $\left(CB\right)//\left(C^{\prime}B^{\prime}\right)$. On a $\left(AC\right)//\left(A^{\prime}C^{\prime}\right)$ si on a : +\begin{enumerate} +\item\BonneReponse $AB=#a#\mathrm{m}$, $AC=#b#\mathrm{m}$, $A^{\prime}B^{\prime}=#a*k#\mathrm{cm}$ et $A^{\prime}C^{\prime}=#b*k#\mathrm{cm}$ +\item\MauvaiseReponse $AB=#a#\mathrm{m}$, $AC=#b#\mathrm{m}$, $A^{\prime}B^{\prime}=#a*k#\mathrm{cm}$ et $A^{\prime}C^{\prime}=#b/k#\mathrm{cm}$ +\item\MauvaiseReponse $AB=#a#\mathrm{m}$, $AC=#b#\mathrm{m}$, $A^{\prime}B^{\prime}=#a*k#\mathrm{cm}$ et $A^{\prime}C^{\prime}=#a/k#\mathrm{cm}$ +\end{enumerate} + diff --git a/Questions/TSP - DST 1 - Sujet A.pdf b/Questions/TSP - DST 1 - Sujet A.pdf new file mode 100644 index 0000000000000000000000000000000000000000..acc46b26ced67298a3b1fa19a87f59ce28c86da3 GIT binary patch literal 105562 zcmdqKc|6qJ`#(PReajv(mMjUgm>Fw!vac!ouBZ?yW#5-%50y2McCwU`CCQR(A+%T` z6ta{k%#Wx~=enNfy3X~o*H}YK5-x?J-P_gMG(d}l z!k}JG9<+*zw9@*no=5$TLE$hA28#comDX}U;pgfDmDW1p=;x~8>g?s>N_*e{t*@Vt 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z{vs$rB9Ki90RmwmXa;IWqEHT^^5>H%01%6$y*GZza6;*^U8!w3eN1H>d(H;^3+*9I7lLq5WA3gQ>Q5KzuwV9kZ} zAP9&LFoJ?Ok%bKPB~gaUFBnOH*Vky;9s^tq_oXSwRusr!ZeKv-P+y8dx%`JwG{jdJ zs3QZ-A;6({!2~d0VKffwK~orng=S!%18RcsF$}biz!3_HAsj&F`W&!0ECT_^#R4LO zyZ$0LM$^!EIEr&Q2gh-Ccc_swfc`)wB94qe7^pAU=5XzdlVDlq_9byp*M~D6DWJLW zf>Ut*f?W=@{^A0_Y~1lcN^@fpr~$331c^fV0oaPYrP8ngiNjn>f|TLfg%SuL`+;2@ zw3Z3j4`&VmjX>)q8){rEAY&jqGho}qwE=@O-1P(ewSr+d0$ + +\end{enumerate} + + + +\item Le nombre $\sqrt{5}$ + +\begin{enumerate} + + +\item\BonneReponse est solution de l'équation $x^{3}-5x=0$ + +\item\MauvaiseReponse est solution de l'inéquation $-5x+2>0$ +\item\MauvaiseReponse est solution de l'équation $x^{2}+5=0$ + +\end{enumerate} + + + +\item Le nombre $\frac{1}{8}$ + +\begin{enumerate} + + +\item\BonneReponse est solution de l'équation $8x-1=0$ +\item\MauvaiseReponse est solution de l'équation $7x+1=0$ + +\item\MauvaiseReponse est solution de l'inéquation $2x+7<0$ + +\end{enumerate} + + +\newpage + +\item Le couple solution du système $\left\{\begin{array}{c}5x+5y=10 \\ x-8y=-34\end{array}\right.$ est + +\begin{enumerate} + +\item\MauvaiseReponse $(4;4)$ + +\item\BonneReponse $(-2 ;4)$ +\item\MauvaiseReponse $(2 ; -2)$ + + +\end{enumerate} + + + +\item L'ensemble des solutions de l'équation $x^{2}+4 x-32=0$ est : + +\begin{enumerate} + +\item\MauvaiseReponse $\emptyset$ + +\item\BonneReponse $\{4 ;-8\}$ + +\item\MauvaiseReponse $\{4 ; 8\}$ + +\end{enumerate} + + + + + + + + + + + + + + + + + + +\item $\frac{15}{2} - \frac{3}{8} \times3=$ + +\begin{enumerate} + +\item\MauvaiseReponse $\frac{171}{8}$ + +\item\MauvaiseReponse $\frac{57}{8}$ + +\item\BonneReponse $\frac{51}{8}$ + +\end{enumerate} + + + +\item $\displaystyle\frac{\frac{5}{7}-1}{\frac{1}{8}+1}=$ + +\begin{enumerate} + +\item\BonneReponse $-\frac{16}{63}$ + +\item\MauvaiseReponse $\frac{40}{7}$ + +\item\MauvaiseReponse $-\frac{9}{28}$ + +\end{enumerate} + + + +\item Dans un triangle $ABC$ rectangle en $A$, si $AB=2$ et $BC=14$, alors + +\begin{enumerate} + +\item\MauvaiseReponse $\sin (\hat{B})=\frac{1}{7}$ + +\item\BonneReponse $AC=\sqrt{192}$ + +\item\MauvaiseReponse $\cos (\hat{C})=\frac{1}{7}$ + +\end{enumerate} + + + +\item Dans un triangle $ABC$ rectangle en $A$, si $AB=2$ et $BC=20$, alors + +\begin{enumerate} + +\item\MauvaiseReponse $\tan (\hat{C})=\frac{1}{10}$ + +\item\MauvaiseReponse $AC=\sqrt{404}$ + +\item\BonneReponse $\cos (\hat{B})=\frac{1}{10}$ + +\end{enumerate} + + + +\item Dans un triangle $ABC$ rectangle en $A$, si $AB=2\mathrm{cm}$ et $AC=20\mathrm{mm}$, alors $\hat{B}=$ : + +\begin{enumerate} + +\item\MauvaiseReponse $20\times\arctan\left(20\right)$ + +\item\BonneReponse $\arctan\left(\frac{20}{20}\right)$ + +\item\MauvaiseReponse $\frac{\arctan\left(2\right)}{2}$ + +\end{enumerate} + + +\item Dans un triangle $ABC$ rectangle en $B$, si $\widehat{A}=10^{\circ}$ alors + +\begin{enumerate} + +\item\MauvaiseReponse $\widehat{C}=90^{\circ}$ + +\item\MauvaiseReponse $\widehat{C}=55^{\circ}$ + +\item\BonneReponse $\widehat{C}=80^{\circ}$ + +\end{enumerate} + + +\item Dans un triangle $ABC$ rectangle en $B$, si $\widehat{A}=50^{\circ}$ alors + +\begin{enumerate} + +\item\MauvaiseReponse $\widehat{C}=50^{\circ}$ + +\item\MauvaiseReponse $\widehat{C}=5^{\circ}$ + +\item\BonneReponse $\widehat{C}=40^{\circ}$ + +\end{enumerate} + + + +\item Si $ABC$ est un triangle rectangle en $B$ tel que $AB=15\mathrm{cm}$ et $BC=8\mathrm{cm}$, alors le segment $\left[AC\right]$ mesure : + +\begin{enumerate} + +\item\BonneReponse $17\mathrm{cm}$ + +\item\MauvaiseReponse $23\mathrm{cm}$ + +\item\MauvaiseReponse $7\mathrm{cm}$ + +\end{enumerate} + + + +\item Si $ABC$ est un triangle rectangle en $B$ tel que $AB=9\mathrm{cm}$ et $AC=41\mathrm{cm}$, alors le segment $\left[BC\right]$ mesure : + +\begin{enumerate} + + +\item\MauvaiseReponse $23\mathrm{cm}$ +\item\BonneReponse $40\mathrm{cm}$ + +\item\MauvaiseReponse $50\mathrm{cm}$ + +\end{enumerate} + + + +\item Dans quel cas le triangle $ABC$ est-il rectangle ? + +\begin{enumerate} + + +\item\MauvaiseReponse $AB=24\mathrm{cm}$, $AC=34\mathrm{cm}$ et $BC=10\mathrm{cm}$ + +\item\MauvaiseReponse $AB=24\mathrm{cm}$, $AC=14\mathrm{cm}$ et $BC=10\mathrm{cm}$ +\item\BonneReponse $AB=24\mathrm{cm}$, $AC=26\mathrm{cm}$ et $BC=10\mathrm{cm}$ + +\end{enumerate} + + + +\item On considère deux triangles non plat $ABC$ et $A^\prime B^\prime C^\prime$ tels que $\left(AB\right)//\left(A^{\prime}B^{\prime}\right)$, $\left(AC\right)//\left(A^{\prime}C^{\prime}\right)$ et $\left(CB\right)//\left(C^{\prime}B^{\prime}\right)$. Si on a $AB=6\mathrm{cm}$, $AC=24\mathrm{cm}$ et $A^{\prime}B^{\prime}=4\mathrm{mm}$, alors $A^{\prime}C^{\prime}=$ + +\begin{enumerate} + + +\item\MauvaiseReponse $9\mathrm{cm}$ + +\item\BonneReponse $16\mathrm{mm}$ +\item\MauvaiseReponse $36\mathrm{cm}$ + +\end{enumerate} + + + +\item On considère deux triangles non plat $ABC$ et $A^\prime B^\prime C^\prime$ tels que $\left(AB\right)//\left(A^{\prime}B^{\prime}\right)$, $\left(AC\right)//\left(A^{\prime}C^{\prime}\right)$ et $\left(CB\right)//\left(C^{\prime}B^{\prime}\right)$. Si on a $AB=5\mathrm{mm}$, $AC=20\mathrm{mm}$ et $A^{\prime}B^{\prime}=2\mathrm{cm}$, alors $A^{\prime}C^{\prime}=$ + +\begin{enumerate} + + +\item\MauvaiseReponse $50\mathrm{mm}$ +\item\BonneReponse $80\mathrm{mm}$ + +\item\MauvaiseReponse $50\mathrm{cm}$ + +\end{enumerate} + + + + + + +\item On considère deux triangles non plat $ABC$ et $A^\prime B^\prime C^\prime$ tels que $\left(AB\right)//\left(A^{\prime}B^{\prime}\right)$ et $\left(CB\right)//\left(C^{\prime}B^{\prime}\right)$. On a $\left(AC\right)//\left(A^{\prime}C^{\prime}\right)$ si on a : + +\begin{enumerate} + +\item\BonneReponse $AB=63\mathrm{m}$, $AC=42\mathrm{m}$, $A^{\prime}B^{\prime}=147\mathrm{cm}$ et $A^{\prime}C^{\prime}=98\mathrm{cm}$ + +\item\MauvaiseReponse $AB=63\mathrm{m}$, $AC=42\mathrm{m}$, $A^{\prime}B^{\prime}=147\mathrm{cm}$ et $A^{\prime}C^{\prime}=18\mathrm{cm}$ + +\item\MauvaiseReponse $AB=63\mathrm{m}$, $AC=42\mathrm{m}$, $A^{\prime}B^{\prime}=147\mathrm{cm}$ et $A^{\prime}C^{\prime}=27\mathrm{cm}$ + +\end{enumerate} + + +\end{enumerate} + +\end{document} diff --git a/Questions/TSP - DST 1 - Sujet B.pdf b/Questions/TSP - DST 1 - Sujet B.pdf new file mode 100644 index 0000000000000000000000000000000000000000..16c01ae614a96b0f441fbb548183d0b8a54d33e3 GIT binary patch literal 113096 zcmdqJcOcc@A3uJ%_Ld!S?G^5Dhn2m_4B2~SWfa+4MTAf`DJextltPk`l_U)rnUT;! zxZl^kDDQXo`}yee{r&ZO_kJDcbzWya&+|N=k8{rRc?AvCG$de>NGid;fz}}^1Oy84 zb@Zf?m#31_bMbKtbcbM2NXXWIR8krqUV$$D5Gf5Whd>uK7bjn57pg;tr~(50T^zir 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+\makeatother + +\begin{document} + +\chapter*{Contrôle de Mathématiques} + +\let\MauvaiseReponse\null +\let\BonneReponse\null + +{\bf Merci de répondre sur la grille fournie et de rendre le sujet avec la grille.} +\vspace{2em} +\begin{enumerate} + + + + +\item L'ensemble des solutions de l'inéquation $-3 x+2<5$ est : + +\begin{enumerate} + +\item\MauvaiseReponse $\mathbb{R}$ + +\item\BonneReponse $]-1,+\infty[$ + +\item\MauvaiseReponse $]-\infty, 1]$ + +\end{enumerate} + +\item L'ensemble des solutions de l'inéquation $-3x+8 \geqslant 5$ + +\begin{enumerate} + +\item\MauvaiseReponse $\mathbb{R}$ + +\item\MauvaiseReponse $[1,+\infty[$ + +\item\BonneReponse $]-\infty,1]$ + +\end{enumerate} + + + + + +\item Le nombre $\frac{1}{6}$ + +\begin{enumerate} + +\item\MauvaiseReponse est solution de l'équation $6x+1=0$ + +\item\MauvaiseReponse est solution de l'équation $x+6=0$ + +\item\BonneReponse est solution de l'inéquation $3x+3>0$ + +\end{enumerate} + + + +\item Le nombre $\sqrt{6}$ + +\begin{enumerate} + +\item\MauvaiseReponse est solution de l'équation $x^{2}+6=0$ + +\item\BonneReponse est solution de l'équation $x^{3}-6x=0$ + +\item\MauvaiseReponse est solution de l'inéquation $-6x+2>0$ + +\end{enumerate} + +\newpage + +\item Le nombre $\frac{1}{8}$ + +\begin{enumerate} + +\item\BonneReponse est solution de l'équation $8x-1=0$ +\item\MauvaiseReponse est solution de l'équation $7x+1=0$ + + +\item\MauvaiseReponse est solution de l'inéquation $8x+3<0$ + +\end{enumerate} + + + +\item Le couple solution du système $\left\{\begin{array}{c}5x+2y=-7 \\ x-8y=-35\end{array}\right.$ est + +\begin{enumerate} + +\item\MauvaiseReponse $(6;4)$ + +\item\BonneReponse $(-3 ;4)$ +\item\MauvaiseReponse $(2 ; -3)$ + + +\end{enumerate} + + + +\item L'ensemble des solutions de l'équation $x^{2}+2 x-24=0$ est : + +\begin{enumerate} + +\item\BonneReponse $\{4 ;-6\}$ +\item\MauvaiseReponse $\emptyset$ + + +\item\MauvaiseReponse $\{4 ; 6\}$ + +\end{enumerate} + + + +\item $\frac{12}{5} - \frac{5}{4} \times2=$ + +\begin{enumerate} + +\item\MauvaiseReponse $\frac{23}{10}$ +\item\BonneReponse $-\frac{1}{10}$ + +\item\MauvaiseReponse $\frac{23}{20}$ + + +\end{enumerate} + + + +\item $\displaystyle\frac{\frac{9}{5}-1}{\frac{1}{8}+1}=$ + +\begin{enumerate} + + +\item\MauvaiseReponse $\frac{72}{5}$ +\item\BonneReponse $\frac{32}{45}$ + +\item\MauvaiseReponse $\frac{9}{10}$ + +\end{enumerate} + + + +\item Dans un triangle $ABC$ rectangle en $A$, si $AB=4$ et $BC=10$, alors + +\begin{enumerate} + +\item\MauvaiseReponse $\sin (\hat{B})=\frac{2}{5}$ + + +\item\MauvaiseReponse $\cos (\hat{C})=\frac{2}{5}$ +\item\BonneReponse $AC=\sqrt{84}$ + +\end{enumerate} + + + +\item Dans un triangle $ABC$ rectangle en $A$, si $AB=4$ et $BC=14$, alors + +\begin{enumerate} + +\item\MauvaiseReponse $\tan (\hat{C})=\frac{2}{7}$ + +\item\BonneReponse $\cos (\hat{B})=\frac{2}{7}$ +\item\MauvaiseReponse $AC=\sqrt{212}$ + + +\end{enumerate} + + + +\item Dans un triangle $ABC$ rectangle en $A$, si $AB=2\mathrm{cm}$ et $AC=35\mathrm{mm}$, alors $\hat{B}=$ : + +\begin{enumerate} + +\item\BonneReponse $\arctan\left(\frac{35}{20}\right)$ +\item\MauvaiseReponse $20\times\arctan\left(35\right)$ + + +\item\MauvaiseReponse $\frac{\arctan\left(\frac{7}{2}\right)}{2}$ + +\end{enumerate} + + + +\item Dans un triangle $ABC$ rectangle en $B$, si $\widehat{A}=20^{\circ}$ alors + +\begin{enumerate} + +\item\MauvaiseReponse $\widehat{C}=80^{\circ}$ + +\item\MauvaiseReponse $\widehat{C}=65^{\circ}$ + +\item\BonneReponse $\widehat{C}=70^{\circ}$ + +\end{enumerate} + + + +\item Dans un triangle $ABC$ rectangle en $B$, si $\widehat{A}=60^{\circ}$ alors + +\begin{enumerate} + +\item\MauvaiseReponse $\widehat{C}=40^{\circ}$ + +\item\BonneReponse $\widehat{C}=30^{\circ}$ +\item\MauvaiseReponse $\widehat{C}=15^{\circ}$ + + +\end{enumerate} + + + +\item Si $ABC$ est un triangle rectangle en $B$ tel que $AB=35\mathrm{cm}$ et $BC=12\mathrm{cm}$, alors le segment $\left[AC\right]$ mesure : + +\begin{enumerate} + + +\item\MauvaiseReponse $47\mathrm{cm}$ + +\item\BonneReponse $37\mathrm{cm}$ +\item\MauvaiseReponse $23\mathrm{cm}$ + +\end{enumerate} + + + +\item Si $ABC$ est un triangle rectangle en $B$ tel que $AB=13\mathrm{cm}$ et $AC=85\mathrm{cm}$, alors le segment $\left[BC\right]$ mesure : + +\begin{enumerate} + + +\item\MauvaiseReponse $47\mathrm{cm}$ + +\item\MauvaiseReponse $98\mathrm{cm}$ +\item\BonneReponse $84\mathrm{cm}$ + +\end{enumerate} + +\newpage + +\item Dans quel cas le triangle $ABC$ est-il rectangle ? + +\begin{enumerate} + +\item\BonneReponse $AB=48\mathrm{cm}$, $AC=50\mathrm{cm}$ et $BC=14\mathrm{cm}$ + +\item\MauvaiseReponse $AB=48\mathrm{cm}$, $AC=62\mathrm{cm}$ et $BC=14\mathrm{cm}$ + +\item\MauvaiseReponse $AB=48\mathrm{cm}$, $AC=34\mathrm{cm}$ et $BC=14\mathrm{cm}$ + +\end{enumerate} + + + +\item On considère deux triangles non plat $ABC$ et $A^\prime B^\prime C^\prime$ tels que $\left(AB\right)//\left(A^{\prime}B^{\prime}\right)$, $\left(AC\right)//\left(A^{\prime}C^{\prime}\right)$ et $\left(CB\right)//\left(C^{\prime}B^{\prime}\right)$. Si on a $AB=6\mathrm{cm}$, $AC=36\mathrm{cm}$ et $A^{\prime}B^{\prime}=9\mathrm{mm}$, alors $A^{\prime}C^{\prime}=$ + +\begin{enumerate} + +\item\BonneReponse $54\mathrm{mm}$ + +\item\MauvaiseReponse $4\mathrm{cm}$ + +\item\MauvaiseReponse $24\mathrm{cm}$ + +\end{enumerate} + + + +\item On considère deux triangles non plat $ABC$ et $A^\prime B^\prime C^\prime$ tels que $\left(AB\right)//\left(A^{\prime}B^{\prime}\right)$, $\left(AC\right)//\left(A^{\prime}C^{\prime}\right)$ et $\left(CB\right)//\left(C^{\prime}B^{\prime}\right)$. Si on a $AB=5\mathrm{mm}$, $AC=30\mathrm{mm}$ et $A^{\prime}B^{\prime}=\frac{25}{2}\mathrm{cm}$, alors $A^{\prime}C^{\prime}=$ + +\begin{enumerate} + + +\item\MauvaiseReponse $12\mathrm{mm}$ +\item\BonneReponse $750\mathrm{mm}$ + +\item\MauvaiseReponse $12\mathrm{cm}$ + +\end{enumerate} + + + + + +\item On considère deux triangles non plat $ABC$ et $A^\prime B^\prime C^\prime$ tels que $\left(AB\right)//\left(A^{\prime}B^{\prime}\right)$ et $\left(CB\right)//\left(C^{\prime}B^{\prime}\right)$. On a $\left(AC\right)//\left(A^{\prime}C^{\prime}\right)$ si on a : + +\begin{enumerate} + + +\item\MauvaiseReponse $AB=21\mathrm{m}$, $AC=84\mathrm{m}$, $A^{\prime}B^{\prime}=49\mathrm{cm}$ et $A^{\prime}C^{\prime}=36\mathrm{cm}$ +\item\BonneReponse $AB=21\mathrm{m}$, $AC=84\mathrm{m}$, $A^{\prime}B^{\prime}=49\mathrm{cm}$ et $A^{\prime}C^{\prime}=196\mathrm{cm}$ + +\item\MauvaiseReponse $AB=21\mathrm{m}$, $AC=84\mathrm{m}$, $A^{\prime}B^{\prime}=49\mathrm{cm}$ et $A^{\prime}C^{\prime}=9\mathrm{cm}$ + +\end{enumerate} + + + +\end{enumerate} + +\end{document} diff --git a/Questions/TSP - DST 1 - Sujet C.pdf b/Questions/TSP - DST 1 - Sujet C.pdf new file mode 100644 index 0000000000000000000000000000000000000000..1d0a33742fc3b22e21318e831ca3a75a88d925f8 GIT binary patch literal 113016 zcmdqJc|6qL_Xj?VJ!^J}v2S4(v)Hl|vai|KEZIUy#n^WdLLs}fDA`I$Bw0eXq(vx- zsB8&gey&&wI}~FCjy9O-Yy(l18X^uyvRQ z0f9n%ojhq26lkQ6y85^UxV1Nfq_T*`k%<=A`AC 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\def\labelitemiii{\(\triangleright\)} + \def\labelitemiv{\(\triangleright\)} +} + +\makeatother + +\begin{document} + +\chapter*{Contrôle de Mathématiques} + +\let\MauvaiseReponse\null +\let\BonneReponse\null + + +{\bf Merci de répondre sur la grille fournie et de rendre le sujet avec la grille.} +\vspace{2em} + + +\begin{enumerate} + + +\item L'ensemble des solutions de l'inéquation $-4 x+8<9$ est : + +\begin{enumerate} + +\item\MauvaiseReponse $\mathbb{R}$ + + +\item\MauvaiseReponse $]-\infty, \frac{1}{4}]$ +\item\BonneReponse $]-\frac{1}{4},+\infty[$ + +\end{enumerate} + + + + + + +\item L'ensemble des solutions de l'inéquation $-5x+4 \geqslant 3$ + +\begin{enumerate} + +\item\MauvaiseReponse $\mathbb{R}$ + +\item\BonneReponse $]-\infty,\frac{1}{5}]$ +\item\MauvaiseReponse $[\frac{1}{5},+\infty[$ + + +\end{enumerate} + + + + + +\item Le nombre $\frac{1}{4}$ + +\begin{enumerate} + +\item\MauvaiseReponse est solution de l'équation $4x+1=0$ +\item\BonneReponse est solution de l'inéquation $4x+5>0$ + +\item\MauvaiseReponse est solution de l'équation $x+4=0$ + + +\end{enumerate} + + + +\item Le nombre $\sqrt{7}$ + +\begin{enumerate} + +\item\BonneReponse est solution de l'équation $x^{3}-7x=0$ +\item\MauvaiseReponse est solution de l'équation $x^{2}+7=0$ + + +\item\MauvaiseReponse est solution de l'inéquation $-5x+3>0$ + +\end{enumerate} + + + +\item Le nombre $\frac{1}{10}$ + +\begin{enumerate} + +\item\MauvaiseReponse est solution de l'équation $9x+1=0$ + + +\item\MauvaiseReponse est solution de l'inéquation $2x+3<0$ +\item\BonneReponse est solution de l'équation $10x-1=0$ + +\end{enumerate} + +\newpage + +\item Le couple solution du système $\left\{\begin{array}{c}3x+5y=-24 \\ x-6y=15\end{array}\right.$ est + +\begin{enumerate} + +\item\MauvaiseReponse $(6;-3)$ + +\item\BonneReponse $(-3 ;-3)$ +\item\MauvaiseReponse $(-\frac{3}{2} ; -3)$ + + +\end{enumerate} + + + + +\item L'ensemble des solutions de l'équation $x^{2}+3 x-40=0$ est : + +\begin{enumerate} + +\item\MauvaiseReponse $\emptyset$ + +\item\BonneReponse $\{5 ;-8\}$ + +\item\MauvaiseReponse $\{5 ; 8\}$ + +\end{enumerate} + + + +\item $\frac{6}{7} - \frac{5}{4} \times2=$ + +\begin{enumerate} + +\item\BonneReponse $-\frac{23}{14}$ +\item\MauvaiseReponse $-\frac{11}{14}$ + +\item\MauvaiseReponse $-\frac{11}{28}$ + + +\end{enumerate} + + + +\item $\displaystyle\frac{\frac{13}{2}-1}{\frac{1}{8}+1}=$ + +\begin{enumerate} + + +\item\MauvaiseReponse $52$ + +\item\BonneReponse $\frac{44}{9}$ +\item\MauvaiseReponse $\frac{99}{16}$ + +\end{enumerate} + + + + +\item Dans un triangle $ABC$ rectangle en $A$, si $AB=4$ et $BC=20$, alors + +\begin{enumerate} + +\item\MauvaiseReponse $\sin (\hat{B})=\frac{1}{5}$ + + +\item\MauvaiseReponse $\cos (\hat{C})=\frac{1}{5}$ +\item\BonneReponse $AC=\sqrt{384}$ + +\end{enumerate} + + + +\item Dans un triangle $ABC$ rectangle en $A$, si $AB=6$ et $BC=10$, alors + +\begin{enumerate} + +\item\BonneReponse $\cos (\hat{B})=\frac{3}{5}$ +\item\MauvaiseReponse $\tan (\hat{C})=\frac{3}{5}$ + +\item\MauvaiseReponse $AC=\sqrt{136}$ + + +\end{enumerate} + + + +\item Dans un triangle $ABC$ rectangle en $A$, si $AB=4\mathrm{cm}$ et $AC=35\mathrm{mm}$, alors $\hat{B}=$ : + +\begin{enumerate} + +\item\MauvaiseReponse $40\times\arctan\left(35\right)$ + + +\item\MauvaiseReponse $\frac{\arctan\left(\frac{7}{2}\right)}{4}$ +\item\BonneReponse $\arctan\left(\frac{35}{40}\right)$ + +\end{enumerate} + + + +\item Dans un triangle $ABC$ rectangle en $B$, si $\widehat{A}=30^{\circ}$ alors + +\begin{enumerate} + +\item\MauvaiseReponse $\widehat{C}=70^{\circ}$ + +\item\BonneReponse $\widehat{C}=60^{\circ}$ +\item\MauvaiseReponse $\widehat{C}=75^{\circ}$ + + +\end{enumerate} + + + + +\item Dans un triangle $ABC$ rectangle en $B$, si $\widehat{A}=75^{\circ}$ alors + +\begin{enumerate} + +\item\MauvaiseReponse $\widehat{C}=25^{\circ}$ + +\item\MauvaiseReponse $\widehat{C}=30^{\circ}$ + +\item\BonneReponse $\widehat{C}=15^{\circ}$ + +\end{enumerate} + + + +\item Si $ABC$ est un triangle rectangle en $B$ tel que $AB=63\mathrm{cm}$ et $BC=16\mathrm{cm}$, alors le segment $\left[AC\right]$ mesure : + +\begin{enumerate} + +\item\BonneReponse $65\mathrm{cm}$ + +\item\MauvaiseReponse $79\mathrm{cm}$ + +\item\MauvaiseReponse $47\mathrm{cm}$ + +\end{enumerate} + + + +\item Si $ABC$ est un triangle rectangle en $B$ tel que $AB=19\mathrm{cm}$ et $AC=181\mathrm{cm}$, alors le segment $\left[BC\right]$ mesure : + +\begin{enumerate} + + +\item\MauvaiseReponse $98\mathrm{cm}$ + +\item\MauvaiseReponse $200\mathrm{cm}$ +\item\BonneReponse $180\mathrm{cm}$ + +\end{enumerate} + + + +\item Dans quel cas le triangle $ABC$ est-il rectangle ? + +\begin{enumerate} + + +\item\MauvaiseReponse $AB=99\mathrm{cm}$, $AC=119\mathrm{cm}$ et $BC=20\mathrm{cm}$ +\item\BonneReponse $AB=99\mathrm{cm}$, $AC=101\mathrm{cm}$ et $BC=20\mathrm{cm}$ + +\item\MauvaiseReponse $AB=99\mathrm{cm}$, $AC=79\mathrm{cm}$ et $BC=20\mathrm{cm}$ + +\end{enumerate} + + + +\item On considère deux triangles non plat $ABC$ et $A^\prime B^\prime C^\prime$ tels que $\left(AB\right)//\left(A^{\prime}B^{\prime}\right)$, $\left(AC\right)//\left(A^{\prime}C^{\prime}\right)$ et $\left(CB\right)//\left(C^{\prime}B^{\prime}\right)$. Si on a $AB=30\mathrm{cm}$, $AC=12\mathrm{cm}$ et $A^{\prime}B^{\prime}=45\mathrm{mm}$, alors $A^{\prime}C^{\prime}=$ + +\begin{enumerate} + + +\item\MauvaiseReponse $20\mathrm{cm}$ + +\item\MauvaiseReponse $8\mathrm{cm}$ +\item\BonneReponse $18\mathrm{mm}$ + +\end{enumerate} + + + + +\item On considère deux triangles non plat $ABC$ et $A^\prime B^\prime C^\prime$ tels que $\left(AB\right)//\left(A^{\prime}B^{\prime}\right)$, $\left(AC\right)//\left(A^{\prime}C^{\prime}\right)$ et $\left(CB\right)//\left(C^{\prime}B^{\prime}\right)$. Si on a $AB=15\mathrm{mm}$, $AC=20\mathrm{mm}$ et $A^{\prime}B^{\prime}=6\mathrm{cm}$, alors $A^{\prime}C^{\prime}=$ + +\begin{enumerate} + + +\item\MauvaiseReponse $50\mathrm{mm}$ + +\item\BonneReponse $80\mathrm{mm}$ +\item\MauvaiseReponse $50\mathrm{cm}$ + +\end{enumerate} + + + + + +\item On considère deux triangles non plat $ABC$ et $A^\prime B^\prime C^\prime$ tels que $\left(AB\right)//\left(A^{\prime}B^{\prime}\right)$ et $\left(CB\right)//\left(C^{\prime}B^{\prime}\right)$. On a $\left(AC\right)//\left(A^{\prime}C^{\prime}\right)$ si on a : + +\begin{enumerate} + + +\item\MauvaiseReponse $AB=21\mathrm{m}$, $AC=42\mathrm{m}$, $A^{\prime}B^{\prime}=49\mathrm{cm}$ et $A^{\prime}C^{\prime}=18\mathrm{cm}$ + +\item\MauvaiseReponse $AB=21\mathrm{m}$, $AC=42\mathrm{m}$, $A^{\prime}B^{\prime}=49\mathrm{cm}$ et $A^{\prime}C^{\prime}=9\mathrm{cm}$ +\item\BonneReponse $AB=21\mathrm{m}$, $AC=42\mathrm{m}$, $A^{\prime}B^{\prime}=49\mathrm{cm}$ et $A^{\prime}C^{\prime}=98\mathrm{cm}$ + +\end{enumerate} + + +\end{enumerate} + +\end{document} + + + + diff --git a/elm-stuff/0.19.1/ParserTest.elmi b/elm-stuff/0.19.1/ParserTest.elmi new file mode 100644 index 0000000000000000000000000000000000000000..050a764ab69244dff2afaea6f3b7cd99f6e97cd4 GIT binary patch literal 2133 zcmc&#>u#Gc6vkjolT6!_tnbh%m0D@7qIKGT2ToI0*haQtd;A$+D0Gx`iKayg$Kd1d z+&>fAnkT7>M#*O=P2zu>oT|No@RsBm)SNU_X;5T07C{3cT97Hy+UtD>ZSt!g46R2f zpZxCSRn<{ZLKRSpUImv@0r^5TD|LPk9VqvCYQNYixvzmAHA`G1I);*53?}ebrj2_X z1$j>bR-^DjIQYRpbCSW64*i=9|Npq~W6hdSzzk8eM`e=Omb3povTG~)SG&Yau-L;% zzR;0(vVuDH1p1@xvRh#=r%Xf@*SoGUFLpIGk5ciz0}qPw>`Xfg&6nNjLvG-g876V$ z>4Q;B9EcZ1E8LJpe-}XgG?KQd=nHPLaG>|%++?1aBiu3g8Dl%!7smikhS&HeJ_0t% zxIP?71#+{w>6kJttv^?iuYdUUR&soA8|w(bs*_Ajs8&EA)~1bdGrr$w`2qO#6X!=z=r`Qqdg%6vm9c>f!8w@a7+ literal 0 HcmV?d00001 diff --git a/elm-stuff/0.19.1/ParserTest.elmo b/elm-stuff/0.19.1/ParserTest.elmo new file mode 100644 index 0000000000000000000000000000000000000000..8e28bedf7dbef3efed12bef71cdb9368db208c17 GIT binary patch literal 5294 zcmbtYOLN;c5GF{1v>aEHIEVJoLk>Rq&}n}{(s-uHI5Qd7J*6EFMZz)@isS&09QW4; zuLVI8U>#QniNr1zANKKKA%ya**z>!N<~{8`lae2QEGQ%NnlPSxVB2+;kY<;DW?lR2 zz4-d&Eh)Q--p`%IO6!c=Ur&jGxtQ zB_N!pV92pXeNJbH5{WB0|(jlwWi@7f9G1?8ig4`%`!B^iLi`c-{1 zGl=xyiwLuQ&4~#>DRz{-DOg>yr06ffz&Z^nX&s?ma@ zGVOn_r>|iD9tUPy!hi1?ABMbWtLr<`0#K}j39lkaWF9ccUmbG>F}K5c*)=yJwV%Vp zImUR)0iq+s*ZaO9__n4D#0Z16nO??3QMb03CyL{kKPD|EA-CH}<*t41N-u|yAqQT1 zSu>srY)~9ARyMGz5#}}36#qVeyX?xz&EeP8LguM(I13M@W)r}-*o+2!O3AK(bVM$o z-+apH+pZ-5-vOjNkyCOYf}KG=a)WS_OA(8>9}&bys63_o^>HGh>J&};qNcvuVtr8( z=9B2E^GH@g66UkzlKfe*+ZRGx(kNe}GiL<<#p{NlvxN+LEem>1kt&{^VVUsrVZbOQ zlXzZw#;(G648hn*LnYZEmm|W4)F~q8OlUwyVJ;YgU>7pQB$#SCbX3bzyXFsbJCIy+ ziOI~lAeE)>8}|BImZelyes+@4j*Uvrj%rQAnDfOlowsuVP{mx5>BDU94a&EFi~|C{^Yc7x0&GmQZ#wSgrlG$VU zGsEx*mmRif!a*89gmrY=hr%WI9X83 zv_^WU$^C+wk{b*QZdQxR3<+&RWl!i<6?UmX8CKBvg9(B;`O1lLv777erD9?GYs)L@ z4xvLeJ{c0ahqiaAE_J#?F=pp~x36BE8^_KnQKAd)S(}m`og)d)nrtPknD1LfuF?8G z?=Fy>aO;S_f65b9K~Gr4AWf9lMr}{n5!m)PZsyoCJUr24?QmUBc5I7x;(vrjojUT> z9y;*?K@8VzgCBlkG2J;JZ2Mlpr6$IDJzyihKHG1MMUOtLrG8^oz@wJCs%B%tUf3&| zN`PmP#%DHh$9GNohxkgW`T&q1t0H)StCH1DWqBKQv{1%|2DGNCHqlf~THn-Kl^E34 z?1)+?yfbY+EFX@;1qvNEHbF+4l(Ee*^sRGkNI`p~=;M1SU6ZvY%XQ#l88Edco`IiUN!(lP|pDnf$>oi+iy11sD3^9<3081I|LX7rhgY^T+G1$0fLixbX2F`6Jczf{K`jq`xH^e9c%zK CswO-D diff --git a/elm-stuff/0.19.1/d.dat b/elm-stuff/0.19.1/d.dat index 700ec6df7530f5744ee5e695373890937e0359c3..8e7c52c63a03932fe827da9dda7eb764f820a878 100644 GIT binary patch delta 190 zcmcb}_dsBRKIaYw2w>f4ag#}yDsl}x^ qB`~wLK#kZjS&%tSFd=9r`yby4%U}kJf()K~g*lCJ>1JydF=hZOTr)2K delta 57 zcmaDLaFK69LV{F;%#VW=O E0KC=@EC2ui diff --git a/src/ParserTest.elm b/src/ParserTest.elm new file mode 100644 index 0000000..fe47b8b --- /dev/null +++ b/src/ParserTest.elm @@ -0,0 +1,307 @@ +module ParserTest exposing (..) + +-- Press buttons to increment and decrement a counter. +-- +-- Read how it works: +-- https://guide.elm-lang.org/architecture/buttons.html +-- + +import Parser exposing (..) +import Browser +import Html exposing (Html, button, div, text) +import Html.Events exposing (onClick) +import Maybe exposing (Maybe) +import Result exposing (Result) + + + +-- MAIN + + +main = + Browser.sandbox { init = init, update = update, view = view } + + + +-- MODEL + + +type alias Model = Int + + +init : Model +init = + 0 + + + +-- UPDATE + + +type Msg + = Increment + | Decrement + + +update : Msg -> Model -> Model +update msg model = + case msg of + Increment -> + model + 1 + + Decrement -> + model - 1 + + + +-- VIEW + + +view : Model -> Html Msg +view model = + div [] [ text texte ] + + +texte = voirArbreParse <| run arbre "*\n *" +{-- + """ + * + * + * + * + * + * + * + * + * + * + * + * + * + * + * + """ +--} + +unArbre = + Arbre + [ Arbre [] + , Arbre + [ Arbre [] + ] + ] + +voirArbreParse arbreParsePotentiel = + case arbreParsePotentiel of + Err erreurs -> deadEndsToString erreurs + Ok arbreParse -> voirArbre arbreParse + +{-- +parser = + succeed identity + |. mangeDesEspaces 2 + |= ( + chompUntil "\n" + |> getChompedString + ) + +mangeDesEspaces ind = + token <| String.repeat ind " " + + +mangeDesEspacesBis = + let + ind = + case getIndent of + Ok indent -> indent + Err _ -> 0 + in + token <| String.repeat ind " " +--} + +type Arbre = Arbre (List Arbre) + +voirArbre arbr = + case arbr of + Arbre [] -> "[]" + Arbre arbrs -> "[" ++ String.concat (List.map voirArbre arbrs) ++ "]" + +{-- +parserArbre = parserArbreInd 0 + +parserArbreInd ind = + succeed Arbre + |. token <| String.repeat ind " " + | + |. symbol "*" + |= oneOF [fin, sousArbre] + |. token "\n" + |. spaces + |= + +type Ligne = + LigneVide + | Ligne Indentation + +type alias Indentation = + { indentation : Int + , ligne : String + } + +parserArborescence chaine = + chaine + |> String.lines + |> List.map profondeur + |> construireArbre + +construireArbre : List Ligne -> Result Arbre +construireArbre lgns = + case lgns of + [] -> Ok <| Arbre [] + LigneVide :: lgnss -> Ok <| construireArbre lgnss + Ligne ind :: lgnss -> + construireArbreBis ind.indentation ( Arbre [] ) lgnss + +construireArbreBis prfdr arbrs lgns = + case + +profondeur : String -> Ligne +profondeur ligne = + Indentation 0 ligne + |> profondeurBis + +profondeurBis ind = + if String.isEmpty ind.ligne then + LigneVide + else if String.startsWith " " then + { ind + | indentation = ind.indentation + 1 + , ligne = String.dropLeft 1 ind.ligne + } + else + ind +--} + + +{-| Ce parser change l'indentation courante, cré un arbre puis + y intègre ses branches grâce à une boucle +-} +arbre : Parser Arbre +arbre = + let + suite = + flip withIndent + <| succeed Arbre + |. symbol "*" + |= loop [] arbres -- (Etat ind []) remplacé par [] + in + getCol + |> andThen suite + +flip f a b = f b a + + +type alias Etat = + { indentation : Int + , arborescence : List Arbre + } + +arbres arbrs = + let + suite col_ind = + if Tuple.first col_ind > Tuple.second col_ind then -- if col > ind + succeed ( \arbr -> Loop (arbr :: arbrs) ) + |= lazy (\_ -> arbre) + else + succeed () + |> map (\_ -> Done (List.reverse arbrs)) + in + succeed Tuple.pair + |. spaces + |= getCol + |= getIndent + |> andThen suite + {-- + oneOf + [ succeed ( \arbr -> Loop { etat | arborescence = arbr :: etat.arborescence } ) + |= arbresBis + |. spaces + , succeed () + |> map (\_ -> Done (List.reverse etat.arborescence)) + ] + --} + +{-- +arbresBis typeInd = + case typeInd of + MemeIndentation -> + succeed ( \arbr -> Loop { etat | arborescence = arbr :: etat.arborescence } ) + |. symbol "*" + |. spaces + |= regarderIndentation + +type Indentation = + MemeIndentation + | MoinsIndentee + | PlusIndentee + +regarderIndentation : Parser Indentation +regarderIndentation = + succeed pair + |= getCol + |= getIndent + |> andThen regarderIndentationBis + +regarderIndentationBis col_ind = + let + col = first col_ind + ind = second col_ind + if col == ind then MemeIndentation + else if col < ind then MoinsIndentee + else PlusIndentee + +arbresBis : Parser Arbre +arbresBis = + memeIndentation + |> andThen arbresTer + +arbresTer : Bool -> Parser Arbre +arbresTer mmInd = + if mmInd then + succeed Arbre + else + problem "expecting more spaces" + +plusIndentee : Parser Bool +plusIndentee = + succeed (>=) + |= getCol + |= getIndent + +moinsIndentee : Parser Bool +moinsIndentee = + succeed (<=) + |= getCol + |= getIndent + +parser = + succeed (x -> Arbre ) + |= oneOf + [ getChompedString <| chompUntil "\n" + , succeed "" + ] + |. token "\n" + |. spaces + |= changerIndentation parser + +parserBis = + getChompedString <| chompUntil "\n" + |. token "\n" + |. spaces + |= changerIndentation parser + + +changerIndentation prsr + succeed (col -> withIndent col prsr) + |= getCol +--} diff --git a/src/QCM.elm b/src/QCM.elm index 3713407..9b1c234 100644 --- a/src/QCM.elm +++ b/src/QCM.elm @@ -84,7 +84,7 @@ view model = <| textarea [ placeholder "Liste des variables", value model.variables, onInput Variables ] [] :: textarea [ placeholder "Format de la question", value model.question, onInput Question ] [] :: button [ onClick GenererQuestion ] [ text "Générer les questions" ] - :: [ ( section [] <| L.map (\q -> p [] [text q]) model.questions ) ] + :: ( section [] <| L.map (\q -> p [] [text q]) model.questions ) {-- :: text ( @@ -106,7 +106,7 @@ view model = ++ L.map text (remplacer [] [Texte "chose"]) --} - {- + {-- , [ dl05 [0, 4, 2] 5 ] , [ text ( poly [0, 0, 7, -3, 0 , 2, 1 , -1 , 3 , 1, 1, 1, 5] ) ] , [ primitLn01 [-5,-6] ] @@ -132,7 +132,9 @@ view model = , List.map dl03 ( mix [ [0], [-9,-8,-7,-6,-5,-4,-3,-2,-1,1,2,3,4,5,6,7,8,9], [0], [1,2,3,4,5,6,7,8,9] ] ) -- 162 possibilités OK , List.map dl04 ( mix [ [-5,-3,-1,1,3,5], [-6,-4,-2,2,4,6], [0], [-9,-8,-7,-6,-5,-4,-3,-2,-1] ] ) --324 possibilités Ok , List.concat <| List.map ( mapTwist [3,5,9] ) ( List.map dl05 ( mix [ [0], [2,4,7,8,11,13,16,17], [2,4,7,8,11,13,16,17] ] ) ) -- 192 possibilités OK - , d3 -- 512 possibilités OK + --} + :: d3 -- 512 possibilités OK + {-- :: ( List.map primitPoly01 <| mix [ List.range -3 -2 ++ List.range 2 3, List.range -3 -2 ++ List.range 2 3, List.range -3 -2 ++ List.range 2 3, List.range -3 -2 ++ List.range 2 3 ] ) -- 256 possibilités OK -- mix [ [1,2] , [3,4] , [5,6] ] == [ [1,3,5] , [1,3,6] , [1,4,5] , [1,4,6] , [2,3,5] , ... ] mix lls = @@ -411,12 +413,12 @@ derivExp01 a b c = [ p [] [ text ("Donner la dérivée de la fonction " ++ f a b c) ] , vr (a*c) (a+b*c) c , fx (a+b) a c - , fx (a+b) a c + , fx (a+b) a (-c) , fx (a+b*c) (a*c) c - , fx (a-b*c) (a*c) c + , fx (a-b*c) (a*c) (-c) , fx (a-b*c) (a*c) c , fx a 0 c - , fx (a*c) 0 c + , fx (a*c) 0 (-c) , fx a 0 1 , fx (a*c) 0 1 {--

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zXmbG!hd|KygTpTtoZs~UNBl!u6cSA~z{b(W<>v>Z;RC+-LmLADzU==%VBk;`v@sB9 z{uBg8{;}Kt9WxSmrMWBz3WDZez$gTokA(m>d08J25I@@b0RbV<J|IvSn$96mezds-fg%x?eFX6B zD{ywrCD~vQ)MfobU~n}52Z15c$Atr{-sS$_(2Mu6-*gFq!_mipBhfJfZtb$pA^cD% zdKo{Op9HotXg(I0<}frJ0V+qc4I~tdCI^xqUFRsk<6o8y1w)%h5MXLu?ho*i7q5oD z@d5?G(bgU)2#Myip99S4Ga|H(+ z>SZ0lk^E@321g>%a&D;9x6YXN*<`{kv@LuBNv3maf2^Tnu~~w!W5sY~10$ + +\end{enumerate} + + + +\item Le nombre $\sqrt{5}$ + +\begin{enumerate} + + +\item\BonneReponse est solution de l'équation $x^{3}-5x=0$ + +\item\MauvaiseReponse est solution de l'inéquation $-5x+2>0$ +\item\MauvaiseReponse est solution de l'équation $x^{2}+5=0$ + +\end{enumerate} + +\newpage + +\item Le nombre $\frac{1}{8}$ + +\begin{enumerate} + + +\item\BonneReponse est solution de l'équation $8x-1=0$ +\item\MauvaiseReponse est solution de l'équation $7x+1=0$ + +\item\MauvaiseReponse est solution de l'inéquation $2x+7<0$ + +\end{enumerate} + + + +\item Le couple solution du système $\left\{\begin{array}{c}5x+5y=10 \\ x-8y=-34\end{array}\right.$ est + +\begin{enumerate} + +\item\MauvaiseReponse $(4;4)$ + +\item\BonneReponse $(-2 ;4)$ +\item\MauvaiseReponse $(2 ; -2)$ + + +\end{enumerate} + + + + + + +\item $u$ est la suite définie pour tout entier $n \geqslant 1$ par $u_{n}=\frac{3n^{2}-2}{n^{2}}$. + +\begin{enumerate} + +\item\MauvaiseReponse $u_{3}=3$ + +\item\BonneReponse $u_{3}=\frac{25}{9}$ + +\item\MauvaiseReponse $u_{3} =\frac{79}{9}$ + +\end{enumerate} + + + + +\item Soit $\left(u_{n}\right)$ la suite définie par: $u_{0}=4$ et, pour tout entier naturel $n$, $u_{n+1}=3 u_{n}-1$, alors : + +\begin{enumerate} + +\item\MauvaiseReponse $u_{3}=4$ + +\item\MauvaiseReponse $u_{3}=32$ + +\item\BonneReponse $u_{3}=95$ + +\end{enumerate} + +\newpage + +\item $v$ est la suite définie par $v_{0}=-2$ et la relation de récurrence\\ $v_{n+1}=5n-v_{n}$, alors : + +\begin{enumerate} + +\item\BonneReponse $v_{2}=3$ + +\item\MauvaiseReponse $v_{2}=-5$ + +\item\MauvaiseReponse $v_{2}=6$ + +\end{enumerate} + + + + + + + +\item On considère la suite arithmétique $\left(u_{n}\right)$ de premier terme $u_{0}=-4$\\ et de raison $r=-\frac{3}{4}$. + +\begin{enumerate} + +\item\MauvaiseReponse $u_{3}=-4$ + +\item\MauvaiseReponse $u_{3}=-\frac{11}{2}$ + +\item\BonneReponse $u_{3}=-\frac{25}{4}$ + +\end{enumerate} + + + +\item Soit $\left(u_{n}\right)$ une suite géométrique de raison $q=\frac{2}{3}$. Sachant que $u_{3}=\frac{5}{8}$,\\ le premier terme $\mathrm{u}_ {0}$ est : + +\begin{enumerate} + +\item\BonneReponse $\frac{135}{64}$ + +\item\MauvaiseReponse $\frac{5}{27}$ + +\item\MauvaiseReponse $\frac{1024}{375}$ + +\end{enumerate} + + + +\item Soit la suite $\left(u_{n}\right)$ définie par $u_{n+1}=\frac{2}{15}u_n$. Cette suite est : + +\begin{enumerate} + +\item\MauvaiseReponse croissante + +\item\BonneReponse décroissante + +\item\MauvaiseReponse constante + +\end{enumerate} + + +\newpage + +\item On considère l'équation $4x^{2}-3 x-9=0$ alors le discriminant $\Delta$ est égal à : + +\begin{enumerate} + +\item\BonneReponse $153$ + +\item\MauvaiseReponse $-135$ + +\item\MauvaiseReponse $27$ + +\end{enumerate} + + + +\item Le nombre de solutions de l'équation $3x^{2}-12 x+12=0$ est + +\begin{enumerate} + +\item\MauvaiseReponse $0$ + +\item\BonneReponse $1$ + +\item\MauvaiseReponse $2$ + +\end{enumerate} + + + + +\item L'ensemble des solutions de l'équation $x^{2}+4 x-45=0$ est : + +\begin{enumerate} + +\item\MauvaiseReponse $\emptyset$ + +\item\BonneReponse $\{5 ;-9\}$ + +\item\MauvaiseReponse $\{5 ; 9\}$ + +\end{enumerate} + + + +\end{enumerate} + +\end{document} diff --git a/Questions/BTS 1 - DST 1 - Sujet B.aux b/Questions/BTS 1 - DST 1 - Sujet B.aux new file mode 100644 index 0000000..d490c35 --- /dev/null +++ b/Questions/BTS 1 - DST 1 - Sujet B.aux @@ -0,0 +1,2 @@ +\relax +\gdef \@abspage@last{2} diff --git a/Questions/BTS 1 - DST 1 - Sujet B.log b/Questions/BTS 1 - DST 1 - Sujet B.log new file mode 100644 index 0000000..e0b4092 --- /dev/null +++ b/Questions/BTS 1 - DST 1 - Sujet B.log @@ -0,0 +1,237 @@ +This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 20.11) (preloaded format=pdflatex 2020.11.23) 27 OCT 2021 13:20 +entering extended mode +**"./BTS 1 - DST 1 - Sujet B.tex" +("BTS 1 - DST 1 - Sujet B.tex" +LaTeX2e <2020-10-01> patch level 2 +L3 programming layer <2020-10-27> xparse <2020-03-03> +("C:\Program Files\MiKTeX\tex/latex/base\book.cls" +Document Class: book 2020/04/10 v1.4m Standard LaTeX document class +("C:\Program Files\MiKTeX\tex/latex/base\bk10.clo" +File: bk10.clo 2020/04/10 v1.4m Standard LaTeX file (size option) +) +\c@part=\count175 +\c@chapter=\count176 +\c@section=\count177 +\c@subsection=\count178 +\c@subsubsection=\count179 +\c@paragraph=\count180 +\c@subparagraph=\count181 +\c@figure=\count182 +\c@table=\count183 +\abovecaptionskip=\skip47 +\belowcaptionskip=\skip48 +\bibindent=\dimen138 +) +("C:\Program Files\MiKTeX\tex/latex/base\fontenc.sty" +Package: fontenc 2020/08/10 v2.0s Standard LaTeX package +) +("C:\Program Files\MiKTeX\tex/latex/base\inputenc.sty" +Package: inputenc 2020/08/01 v1.3d Input encoding file +\inpenc@prehook=\toks15 +\inpenc@posthook=\toks16 +) +(C:\Users\Echophile\AppData\Roaming\MiKTeX\tex/latex/geometry\geometry.sty +Package: geometry 2020/01/02 v5.9 Page Geometry + +("C:\Program Files\MiKTeX\tex/latex/graphics\keyval.sty" +Package: keyval 2014/10/28 v1.15 key=value parser (DPC) +\KV@toks@=\toks17 +) +("C:\Program Files\MiKTeX\tex/generic/iftex\ifvtex.sty" +Package: ifvtex 2019/10/25 v1.7 ifvtex legacy package. 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