Import work from year 2014-2015
This commit is contained in:
Benjamin Bertrand
BIN
2nd/DS/DS_1212/Competences.pdf
Normal file
BIN
2nd/DS/DS_1212/Competences.pdf
Normal file
Binary file not shown.
94
2nd/DS/DS_1212/Competences.tex
Normal file
94
2nd/DS/DS_1212/Competences.tex
Normal file
@@ -0,0 +1,94 @@
|
||||
\documentclass{/media/documents/Cours/Prof/Enseignements/2014-2015/tools/style/classConn}
|
||||
|
||||
|
||||
% Title Page
|
||||
\title{}
|
||||
\author{}
|
||||
\date{}
|
||||
|
||||
|
||||
\begin{document}
|
||||
|
||||
\begin{multicols}{2}
|
||||
|
||||
Nom - Prénom - Classe:
|
||||
|
||||
~\\[1cm]
|
||||
|
||||
\textbf{Note:} \hfill {\Large /20}
|
||||
~\\[1cm]
|
||||
|
||||
|
||||
\textbf{Commentaires:} \\[4cm]
|
||||
|
||||
\textbf{Compétences:}
|
||||
%\begin{competences}
|
||||
% \competence Dessin en 3D
|
||||
% \competence Lecture graphique
|
||||
% \competence Lecture tableau de varation
|
||||
% \competence Écriture mathématique
|
||||
%\end{competences}
|
||||
\vfill
|
||||
|
||||
\hspace{-1cm}
|
||||
\begin{tabular}{|p{5cm}|*{3}{c|}}
|
||||
\hline
|
||||
Compétences & Non aquis & Cours d'aquisition & Aquis \\
|
||||
\hline
|
||||
Dessin en 3D &&&\\
|
||||
\hline
|
||||
Lecture graphique &&&\\
|
||||
\hline
|
||||
Lecture tableau de variations &&&\\
|
||||
\hline
|
||||
Écriture mathématique &&&\\
|
||||
\hline
|
||||
\end{tabular}
|
||||
\vfill
|
||||
|
||||
\columnbreak
|
||||
|
||||
Nom - Prénom - Classe:
|
||||
|
||||
~\\[1cm]
|
||||
|
||||
\textbf{Note:} \hfill {\Large /20}
|
||||
~\\[1cm]
|
||||
|
||||
|
||||
\textbf{Commentaires:} \\[4cm]
|
||||
|
||||
\textbf{Compétences:}
|
||||
%\begin{competences}
|
||||
% \competence Dessin en 3D
|
||||
% \competence Lecture graphique
|
||||
% \competence Lecture tableau de varation
|
||||
% \competence Écriture mathématique
|
||||
%\end{competences}
|
||||
\vfill
|
||||
|
||||
\hspace{-1cm}
|
||||
\begin{tabular}{|p{5cm}|*{3}{c|}}
|
||||
\hline
|
||||
Compétences & Non aquis & Cours d'aquisition & Aquis \\
|
||||
\hline
|
||||
Dessin en 3D &&&\\
|
||||
\hline
|
||||
Lecture graphique &&&\\
|
||||
\hline
|
||||
Lecture tableau de variations &&&\\
|
||||
\hline
|
||||
Écriture mathématique &&&\\
|
||||
\hline
|
||||
\end{tabular}
|
||||
\vfill
|
||||
|
||||
|
||||
\end{multicols}
|
||||
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
BIN
2nd/DS/DS_1212/DS_1212.pdf
Normal file
BIN
2nd/DS/DS_1212/DS_1212.pdf
Normal file
Binary file not shown.
232
2nd/DS/DS_1212/DS_1212.tex
Normal file
232
2nd/DS/DS_1212/DS_1212.tex
Normal file
@@ -0,0 +1,232 @@
|
||||
\documentclass[a4paper,10pt, table]{/media/documents/Cours/Prof/Enseignements/2014-2015/tools/style/classDS}
|
||||
\usepackage{/media/documents/Cours/Prof/Enseignements/2014-2015/2014_2015}
|
||||
\usepackage{tkz-tab}
|
||||
\usepackage{tkz-fct}
|
||||
|
||||
% Title Page
|
||||
\titre{DS 4}
|
||||
% \seconde \premiereS \PSTMG \TSTMG
|
||||
\classe{\seconde}
|
||||
\date{1é décembre 2014}
|
||||
%\duree{1 heure}
|
||||
%\sujet{%{{infos.subj%}}}
|
||||
% DS DSCorr DM DMCorr Corr
|
||||
\typedoc{DS}
|
||||
|
||||
\printanswers
|
||||
|
||||
\begin{document}
|
||||
\maketitle
|
||||
|
||||
Le barème est donné à titre indicatif, il pourra être modifié.
|
||||
|
||||
\begin{questions}
|
||||
|
||||
\vfill
|
||||
\question[5]
|
||||
\begin{parts}
|
||||
\part Quel est le nom de la figure suivante. Quelles sont les faces visibles?
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.2]{./fig/pyramid.png}
|
||||
\end{center}
|
||||
\begin{solution}
|
||||
La figure est un pyramide. Les faces visibles sont les faces $BFC$ et $CFD$.
|
||||
\end{solution}
|
||||
\part Vous répondrez aux questions suivantes à partir du pavé droit ci-dessous.
|
||||
|
||||
\begin{minipage}{0.4\textwidth}
|
||||
\includegraphics[scale=0.3]{./fig/paveDroit}
|
||||
\end{minipage}
|
||||
\begin{minipage}{0.6\textwidth}
|
||||
\begin{subparts}
|
||||
\subpart Dessiner ce pavé droit de façon à ce que les faces $AEHD$, $EHCF$ et $DHGC$ soient visibles.
|
||||
\begin{solution}
|
||||
\includegraphics[scale=0.2]{./fig/paveDroit_corr}
|
||||
\end{solution}
|
||||
\subpart Calculer le volume de ce pavé droit.
|
||||
\begin{solution}
|
||||
Volume du pavé
|
||||
\begin{eqnarray*}
|
||||
V & = & 5\times3\times4 = 60
|
||||
\end{eqnarray*}
|
||||
\end{solution}
|
||||
\subpart Calculer la longueur $AC$.
|
||||
\begin{solution}
|
||||
Calcul de la longueur $AC$:
|
||||
|
||||
Comme $ABC$ est un triangle rectangle en $B$ d'après le théorème de Pythagore, on a
|
||||
\begin{eqnarray*}
|
||||
AC^2 & = & AB^2 + BC^2\\
|
||||
AC^2 &=& 5^2 + 3^2\\
|
||||
AC^2 &=& 25 + 9 \\
|
||||
AC^2 &=& 34\\
|
||||
AC &=& \sqrt{34} \approx 5,8
|
||||
\end{eqnarray*}
|
||||
$AC$ mesure environ 5,8cm.
|
||||
\end{solution}
|
||||
\end{subparts}
|
||||
\end{minipage}
|
||||
\end{parts}
|
||||
\vfill
|
||||
|
||||
\question[5]
|
||||
\begin{center}
|
||||
\begin{tikzpicture}[scale=0.5]
|
||||
\repere{-6}{6}{-6}{6}
|
||||
\draw[very thick, color=red] plot [smooth,tension=0.5, mark=*] coordinates{(-4, -4) (-3.5, -3) (-3, 0) (-2, 1) (-1, 0) (0, -3) (1, 0) (2, -3) (2.5,0) (3, 2) (4, 3)};
|
||||
\draw (4,3) node[above right] {$\mathcal{C}_f$};
|
||||
\end{tikzpicture}
|
||||
\end{center}
|
||||
|
||||
\begin{parts}
|
||||
\part Tracer le tableau de variation de le fonction représentée sur le graphique.
|
||||
\begin{solution}
|
||||
|
||||
\begin{tikzpicture}
|
||||
\tkzTabInit[espcl=2]{$x$/1,$f(x)$/1}{-4, -2, 0, 1, 2, 4}
|
||||
\tkzTabVar{-/{-4}, +/{1}, -/{-3}, +/{0}, -/{-3}, +/{3}}
|
||||
\end{tikzpicture}
|
||||
\end{solution}
|
||||
\part Sur quels intervalles cette fonction est-elle décroissantes?
|
||||
\begin{solution}
|
||||
La fonction $f$ est décroissante sur l'intervalle $\intFF{-2}{0}$ et $\intFF{1}{2}$.
|
||||
\end{solution}
|
||||
\part Quel est le minimum de la fonction sur l'intervalle $\intFF{-1}{3}$?
|
||||
\begin{solution}
|
||||
Sur l'intevalle $\intFF{-1}{3}$, le minimum de $f$ est -3, il est atteind pour $x = 0$ ou $x = 2$
|
||||
\end{solution}
|
||||
\part À partir de ce graphique, résoudre l'équation $f(x) = -3$
|
||||
\begin{solution}
|
||||
Les solutions de l'équation $f(x) = -3$ sont $x = -3,5$, $x = 0$ et $x = 2$.
|
||||
\end{solution}
|
||||
\end{parts}
|
||||
|
||||
\vfill
|
||||
\question[5]
|
||||
\begin{tikzpicture}
|
||||
\tkzTabInit[]{$x$/1,$g(x)$/1}{$-3$, $-0.5$, $0$,$-1$,$+\infty$}
|
||||
\tkzTabVar{+/{2}, -/{-3}, +/{0}, -/{1}, +/}
|
||||
\end{tikzpicture}
|
||||
\begin{parts}
|
||||
\part Quel est l'intervalle de définition de la fonction $g$?
|
||||
\begin{solution}
|
||||
L'intervalle de définition de $g$ est $\intFF{-3}{+\infty}$.
|
||||
\end{solution}
|
||||
\part Sur quels intervalles cette fonction est-elle décroissantes?
|
||||
\begin{solution}
|
||||
La fonction $g$ est décroissante sur les intervalles $\intFF{-3}{-0,5}$ et $\intFF{0}{1}$.
|
||||
\end{solution}
|
||||
\part Quels est le minimum de cette fonction sur l'intervalle $\intFF{-3}{1}$?
|
||||
\begin{solution}
|
||||
Sur l'intervalle $\intFF{-3}{1}$ le minimum de $g$ est -3, il est atteind pour $x=-0,5$.
|
||||
\end{solution}
|
||||
\part Tracer une fonction qui a ce tableau de variation.
|
||||
\begin{solution}
|
||||
Voici une fonction possible.
|
||||
\begin{center}
|
||||
\begin{tikzpicture}[scale=0.7]
|
||||
\repere{-4}{4}{-4}{5}
|
||||
\draw[very thick, color=red] plot [smooth,tension=0.2, mark=*] coordinates{(-3, 2) (-0.5, -3) (0, 0) (1, -1) (4, 5) };
|
||||
\draw (4,5) node[above right] {$\mathcal{C}_g$};
|
||||
\end{tikzpicture}
|
||||
\end{center}
|
||||
|
||||
\end{solution}
|
||||
\part Quel est le plus grand de ces deux nombres $g(-2)$ et $g(-1)$?
|
||||
\begin{solution}
|
||||
Comme la fonction est décroissante sur $\intFF{-3}{-0,5}$ et que -2 et -1 sont dans cet intervalle.
|
||||
\begin{eqnarray*}
|
||||
-2 < -1 & \mbox{ implique } & f(-2) > f(-1)
|
||||
\end{eqnarray*}
|
||||
Donc $f(-2)$ est plus grand que $f(-1)$.
|
||||
\end{solution}
|
||||
\end{parts}
|
||||
|
||||
\vfill
|
||||
\question[5]
|
||||
L'entreprise Cducosto produit des outils de bricolages.
|
||||
\begin{parts}
|
||||
\part Leur premier produit est un marteau. Voici le graphique représentant les bénéfices en fonction du nombre de marteau qu'elle produit et vend.
|
||||
|
||||
\begin{center}
|
||||
\begin{tikzpicture}[scale=0.7]
|
||||
\tkzInit[xmin=0,xmax=150,
|
||||
ymin=-200,ymax=300,
|
||||
xstep=10,ystep=50]
|
||||
\tkzAxeX[thick, poslabel=right,label=]
|
||||
\tkzAxeY[thick, poslabel=above,label=]
|
||||
\tkzDrawX[label={\textit{Nombre de marteau}},below= -12pt]
|
||||
\tkzDrawY[label={\textit{Bénéfices}}, below=-10pt]
|
||||
\tkzGrid
|
||||
\tkzFct[domain=0:150,color=blue, very thick]{-0.05*\x*\x + 7.5*\x - 180}
|
||||
\end{tikzpicture}
|
||||
\end{center}
|
||||
|
||||
\begin{subparts}
|
||||
\subpart Tracer le tableau de signe de cette fonction.
|
||||
\begin{solution}
|
||||
|
||||
\begin{tikzpicture}
|
||||
\tkzTabInit[]{$x$/1,$g(x)$/1}{0, 30, 120, 150}
|
||||
\tkzTabLine{, -, z, +, z, -,}
|
||||
\end{tikzpicture}
|
||||
|
||||
\end{solution}
|
||||
\subpart Sur quel intervalle doit-elle restreindre sa production pour que ses bénéfices soient positifs?
|
||||
\begin{solution}
|
||||
Pour que les bénéfices soient positifs , il faut que la production reste sur l'intervalle $\intFF{3}{120}$
|
||||
\end{solution}
|
||||
\end{subparts}
|
||||
|
||||
\part Leur deuxième produit est une visseuse automatique. Le bénéfice liés à cet outil est donné par la fonction suivante:
|
||||
\begin{eqnarray*}
|
||||
f:x & \mapsto & 2x - 3
|
||||
\end{eqnarray*}
|
||||
\begin{subparts}
|
||||
\subpart Tracer le tableau de signe de cette fonction.
|
||||
\begin{solution}
|
||||
On cherche là où la fonction $f$ est positive
|
||||
\begin{eqnarray*}
|
||||
f(x) & > &0\\
|
||||
2x - 3 & > & 0 \\
|
||||
2x & > & 3 \\
|
||||
&& \mbox{2 est positif, on ne change}\\
|
||||
&& \mbox{le sens de l'inégalité}\\
|
||||
x &>& \frac{3}{2} = 1,5
|
||||
\end{eqnarray*}
|
||||
On ne déduit le tableau de signe (on commence le tableau en 0 car on ne peut pas produire un nombre négatif de visseuses)
|
||||
|
||||
\begin{tikzpicture}
|
||||
\tkzTabInit[]{$x$/1,$f(x)$/1}{0, {1,5}, $+\infty$}
|
||||
\tkzTabLine{ ,-, z, +,}
|
||||
\end{tikzpicture}
|
||||
|
||||
\end{solution}
|
||||
\subpart À partir de combien de visseuses l'entreprise fait-elle du bénéfice?
|
||||
\begin{solution}
|
||||
À partir de 2 visseuses l'entreprise fait des bénéfices (là où dans le tableau au dessus il y a un +)
|
||||
\end{solution}
|
||||
\subpart Tracer le tableau de variation de cette fonction.
|
||||
\begin{solution}
|
||||
$f$ est une fonction affine et $a = 2$ est positif. Donc $f$ est une fonction croissante
|
||||
|
||||
\begin{tikzpicture}
|
||||
\tkzTabInit[espcl=2]{$x$/1,$f(x)$/1}{0, $+\infty$}
|
||||
\tkzTabVar{-/{}, +/{}}
|
||||
\end{tikzpicture}
|
||||
\end{solution}
|
||||
\end{subparts}
|
||||
|
||||
|
||||
|
||||
\end{parts}
|
||||
\end{questions}
|
||||
|
||||
\vfill
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
||||
2
2nd/DS/DS_1212/DS_1212.tkzfct.gnuplot
Normal file
2
2nd/DS/DS_1212/DS_1212.tkzfct.gnuplot
Normal file
@@ -0,0 +1,2 @@
|
||||
set table "DS_1212.tkzfct.table"; set format "%.5f"
|
||||
set samples 200.0; plot [x=0:15.000000000000000000] (-0.05*(x*10)*(x*10)+ 7.5*(x*10)- 180)/50
|
||||
205
2nd/DS/DS_1212/DS_1212.tkzfct.table
Normal file
205
2nd/DS/DS_1212/DS_1212.tkzfct.table
Normal file
@@ -0,0 +1,205 @@
|
||||
|
||||
# Curve 0 of 1, 200 points
|
||||
# Curve title: "(-0.05*(x*10)*(x*10)+ 7.5*(x*10)- 180)/50"
|
||||
# x y type
|
||||
0.00000 -3.60000 i
|
||||
0.07538 -3.48750 i
|
||||
0.15075 -3.37614 i
|
||||
0.22613 -3.26592 i
|
||||
0.30151 -3.15683 i
|
||||
0.37688 -3.04888 i
|
||||
0.45226 -2.94206 i
|
||||
0.52764 -2.83638 i
|
||||
0.60302 -2.73184 i
|
||||
0.67839 -2.62843 i
|
||||
0.75377 -2.52616 i
|
||||
0.82915 -2.42503 i
|
||||
0.90452 -2.32503 i
|
||||
0.97990 -2.22617 i
|
||||
1.05528 -2.12845 i
|
||||
1.13065 -2.03186 i
|
||||
1.20603 -1.93641 i
|
||||
1.28141 -1.84209 i
|
||||
1.35678 -1.74891 i
|
||||
1.43216 -1.65687 i
|
||||
1.50754 -1.56596 i
|
||||
1.58291 -1.47619 i
|
||||
1.65829 -1.38756 i
|
||||
1.73367 -1.30006 i
|
||||
1.80905 -1.21370 i
|
||||
1.88442 -1.12847 i
|
||||
1.95980 -1.04438 i
|
||||
2.03518 -0.96143 i
|
||||
2.11055 -0.87961 i
|
||||
2.18593 -0.79893 i
|
||||
2.26131 -0.71939 i
|
||||
2.33668 -0.64098 i
|
||||
2.41206 -0.56371 i
|
||||
2.48744 -0.48758 i
|
||||
2.56281 -0.41258 i
|
||||
2.63819 -0.33872 i
|
||||
2.71357 -0.26599 i
|
||||
2.78894 -0.19440 i
|
||||
2.86432 -0.12395 i
|
||||
2.93970 -0.05463 i
|
||||
3.01508 0.01355 i
|
||||
3.09045 0.08059 i
|
||||
3.16583 0.14650 i
|
||||
3.24121 0.21127 i
|
||||
3.31658 0.27490 i
|
||||
3.39196 0.33740 i
|
||||
3.46734 0.39876 i
|
||||
3.54271 0.45899 i
|
||||
3.61809 0.51808 i
|
||||
3.69347 0.57603 i
|
||||
3.76884 0.63285 i
|
||||
3.84422 0.68853 i
|
||||
3.91960 0.74307 i
|
||||
3.99497 0.79648 i
|
||||
4.07035 0.84875 i
|
||||
4.14573 0.89989 i
|
||||
4.22111 0.94989 i
|
||||
4.29648 0.99875 i
|
||||
4.37186 1.04647 i
|
||||
4.44724 1.09306 i
|
||||
4.52261 1.13852 i
|
||||
4.59799 1.18283 i
|
||||
4.67337 1.22601 i
|
||||
4.74874 1.26806 i
|
||||
4.82412 1.30897 i
|
||||
4.89950 1.34874 i
|
||||
4.97487 1.38737 i
|
||||
5.05025 1.42487 i
|
||||
5.12563 1.46124 i
|
||||
5.20101 1.49646 i
|
||||
5.27638 1.53055 i
|
||||
5.35176 1.56351 i
|
||||
5.42714 1.59532 i
|
||||
5.50251 1.62600 i
|
||||
5.57789 1.65555 i
|
||||
5.65327 1.68396 i
|
||||
5.72864 1.71123 i
|
||||
5.80402 1.73737 i
|
||||
5.87940 1.76236 i
|
||||
5.95477 1.78623 i
|
||||
6.03015 1.80895 i
|
||||
6.10553 1.83054 i
|
||||
6.18090 1.85100 i
|
||||
6.25628 1.87032 i
|
||||
6.33166 1.88850 i
|
||||
6.40704 1.90554 i
|
||||
6.48241 1.92145 i
|
||||
6.55779 1.93622 i
|
||||
6.63317 1.94986 i
|
||||
6.70854 1.96236 i
|
||||
6.78392 1.97372 i
|
||||
6.85930 1.98395 i
|
||||
6.93467 1.99304 i
|
||||
7.01005 2.00099 i
|
||||
7.08543 2.00781 i
|
||||
7.16080 2.01349 i
|
||||
7.23618 2.01804 i
|
||||
7.31156 2.02145 i
|
||||
7.38693 2.02372 i
|
||||
7.46231 2.02486 i
|
||||
7.53769 2.02486 i
|
||||
7.61307 2.02372 i
|
||||
7.68844 2.02145 i
|
||||
7.76382 2.01804 i
|
||||
7.83920 2.01349 i
|
||||
7.91457 2.00781 i
|
||||
7.98995 2.00099 i
|
||||
8.06533 1.99304 i
|
||||
8.14070 1.98395 i
|
||||
8.21608 1.97372 i
|
||||
8.29146 1.96236 i
|
||||
8.36683 1.94986 i
|
||||
8.44221 1.93622 i
|
||||
8.51759 1.92145 i
|
||||
8.59296 1.90554 i
|
||||
8.66834 1.88850 i
|
||||
8.74372 1.87032 i
|
||||
8.81910 1.85100 i
|
||||
8.89447 1.83054 i
|
||||
8.96985 1.80895 i
|
||||
9.04523 1.78623 i
|
||||
9.12060 1.76236 i
|
||||
9.19598 1.73737 i
|
||||
9.27136 1.71123 i
|
||||
9.34673 1.68396 i
|
||||
9.42211 1.65555 i
|
||||
9.49749 1.62600 i
|
||||
9.57286 1.59532 i
|
||||
9.64824 1.56351 i
|
||||
9.72362 1.53055 i
|
||||
9.79899 1.49646 i
|
||||
9.87437 1.46124 i
|
||||
9.94975 1.42487 i
|
||||
10.02513 1.38737 i
|
||||
10.10050 1.34874 i
|
||||
10.17588 1.30897 i
|
||||
10.25126 1.26806 i
|
||||
10.32663 1.22601 i
|
||||
10.40201 1.18283 i
|
||||
10.47739 1.13852 i
|
||||
10.55276 1.09306 i
|
||||
10.62814 1.04647 i
|
||||
10.70352 0.99875 i
|
||||
10.77889 0.94989 i
|
||||
10.85427 0.89989 i
|
||||
10.92965 0.84875 i
|
||||
11.00503 0.79648 i
|
||||
11.08040 0.74307 i
|
||||
11.15578 0.68853 i
|
||||
11.23116 0.63285 i
|
||||
11.30653 0.57603 i
|
||||
11.38191 0.51808 i
|
||||
11.45729 0.45899 i
|
||||
11.53266 0.39876 i
|
||||
11.60804 0.33740 i
|
||||
11.68342 0.27490 i
|
||||
11.75879 0.21127 i
|
||||
11.83417 0.14650 i
|
||||
11.90955 0.08059 i
|
||||
11.98492 0.01355 i
|
||||
12.06030 -0.05463 i
|
||||
12.13568 -0.12395 i
|
||||
12.21106 -0.19440 i
|
||||
12.28643 -0.26599 i
|
||||
12.36181 -0.33872 i
|
||||
12.43719 -0.41258 i
|
||||
12.51256 -0.48758 i
|
||||
12.58794 -0.56371 i
|
||||
12.66332 -0.64098 i
|
||||
12.73869 -0.71939 i
|
||||
12.81407 -0.79893 i
|
||||
12.88945 -0.87961 i
|
||||
12.96482 -0.96143 i
|
||||
13.04020 -1.04438 i
|
||||
13.11558 -1.12847 i
|
||||
13.19095 -1.21370 i
|
||||
13.26633 -1.30006 i
|
||||
13.34171 -1.38756 i
|
||||
13.41709 -1.47619 i
|
||||
13.49246 -1.56596 i
|
||||
13.56784 -1.65687 i
|
||||
13.64322 -1.74891 i
|
||||
13.71859 -1.84209 i
|
||||
13.79397 -1.93641 i
|
||||
13.86935 -2.03186 i
|
||||
13.94472 -2.12845 i
|
||||
14.02010 -2.22617 i
|
||||
14.09548 -2.32503 i
|
||||
14.17085 -2.42503 i
|
||||
14.24623 -2.52616 i
|
||||
14.32161 -2.62843 i
|
||||
14.39698 -2.73184 i
|
||||
14.47236 -2.83638 i
|
||||
14.54774 -2.94206 i
|
||||
14.62312 -3.04888 i
|
||||
14.69849 -3.15683 i
|
||||
14.77387 -3.26592 i
|
||||
14.84925 -3.37614 i
|
||||
14.92462 -3.48750 i
|
||||
15.00000 -3.60000 i
|
||||
|
||||
BIN
2nd/DS/DS_1212/DS_1212_sujet.pdf
Normal file
BIN
2nd/DS/DS_1212/DS_1212_sujet.pdf
Normal file
Binary file not shown.
BIN
2nd/DS/DS_1212/fig/paveDroit.pdf
Normal file
BIN
2nd/DS/DS_1212/fig/paveDroit.pdf
Normal file
Binary file not shown.
234
2nd/DS/DS_1212/fig/paveDroit.svg
Normal file
234
2nd/DS/DS_1212/fig/paveDroit.svg
Normal file
@@ -0,0 +1,234 @@
|
||||
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
||||
<!-- Created with Inkscape (http://www.inkscape.org/) -->
|
||||
|
||||
<svg
|
||||
xmlns:dc="http://purl.org/dc/elements/1.1/"
|
||||
xmlns:cc="http://creativecommons.org/ns#"
|
||||
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
|
||||
xmlns:svg="http://www.w3.org/2000/svg"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
width="554.94989"
|
||||
height="533.125"
|
||||
id="svg2"
|
||||
version="1.1"
|
||||
inkscape:version="0.48.5 r10040"
|
||||
sodipodi:docname="pavetDroit.svg">
|
||||
<defs
|
||||
id="defs4">
|
||||
<inkscape:perspective
|
||||
sodipodi:type="inkscape:persp3d"
|
||||
inkscape:vp_x="-372.04724 : 175.3937 : 0"
|
||||
inkscape:vp_y="0 : 1000 : 0"
|
||||
inkscape:vp_z="372.04724 : 175.3937 : 0"
|
||||
inkscape:persp3d-origin="282.0981 : 226.51554 : 1"
|
||||
id="perspective2985" />
|
||||
</defs>
|
||||
<sodipodi:namedview
|
||||
id="base"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pageshadow="2"
|
||||
inkscape:zoom="1.1216882"
|
||||
inkscape:cx="277.47495"
|
||||
inkscape:cy="266.56248"
|
||||
inkscape:document-units="px"
|
||||
inkscape:current-layer="layer1"
|
||||
showgrid="false"
|
||||
fit-margin-top="10"
|
||||
fit-margin-left="10"
|
||||
fit-margin-right="10"
|
||||
fit-margin-bottom="10"
|
||||
inkscape:window-width="1364"
|
||||
inkscape:window-height="748"
|
||||
inkscape:window-x="0"
|
||||
inkscape:window-y="274"
|
||||
inkscape:window-maximized="0" />
|
||||
<metadata
|
||||
id="metadata7">
|
||||
<rdf:RDF>
|
||||
<cc:Work
|
||||
rdf:about="">
|
||||
<dc:format>image/svg+xml</dc:format>
|
||||
<dc:type
|
||||
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
|
||||
<dc:title />
|
||||
</cc:Work>
|
||||
</rdf:RDF>
|
||||
</metadata>
|
||||
<g
|
||||
inkscape:label="Calque 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1"
|
||||
transform="translate(-55.348711,-188.53777)">
|
||||
<g
|
||||
id="g3814"
|
||||
transform="matrix(1.2534994,0,0,1,62.402552,-65.951537)">
|
||||
<path
|
||||
d="M 28.726269,613.11599 317.10394,749.06546 410.11575,705.21704 121.73808,569.26756 z"
|
||||
style="fill:none;stroke:#000000;stroke-width:3;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:3, 9;stroke-dashoffset:0"
|
||||
id="path3795"
|
||||
inkscape:connector-curvature="0" />
|
||||
<g
|
||||
id="g3809">
|
||||
<path
|
||||
inkscape:connector-curvature="0"
|
||||
id="path3791"
|
||||
style="fill:none;stroke:#000000;stroke-width:3;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:3, 9;stroke-dashoffset:0"
|
||||
d="m 121.73808,297.31804 288.37767,135.94947 0,271.94953 -288.37767,-135.94948 z" />
|
||||
<path
|
||||
inkscape:connector-curvature="0"
|
||||
id="path3793"
|
||||
style="fill:none;stroke:#000000;stroke-width:3;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:3, 9;stroke-dashoffset:0"
|
||||
d="m 28.726269,341.16646 0,271.94953 93.011811,-43.84843 0,-271.94952 z" />
|
||||
<path
|
||||
inkscape:connector-curvature="0"
|
||||
id="path3797"
|
||||
style="fill:none;stroke:#000000;stroke-width:3;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none"
|
||||
d="M 28.726269,341.16646 317.10394,477.11593 410.11575,433.26751 121.73808,297.31804 z" />
|
||||
</g>
|
||||
<path
|
||||
d="m 317.10394,477.11593 0,271.94953 93.01181,-43.84842 0,-271.94953 z"
|
||||
style="fill:none;stroke:#000000;stroke-width:3;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none"
|
||||
id="path3799"
|
||||
inkscape:connector-curvature="0" />
|
||||
<path
|
||||
d="m 28.726269,341.16646 288.377671,135.94947 0,271.94953 L 28.726269,613.11599 z"
|
||||
style="fill:none;stroke:#000000;stroke-width:3;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none"
|
||||
id="path3801"
|
||||
inkscape:connector-curvature="0" />
|
||||
</g>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:32px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
|
||||
x="-18.665529"
|
||||
y="58.917763"
|
||||
id="text3823"
|
||||
sodipodi:linespacing="125%"
|
||||
transform="translate(84.01424,219.70471)"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3825"
|
||||
x="-18.665529"
|
||||
y="58.917763">A</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:32px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
|
||||
x="365.84436"
|
||||
y="163.44473"
|
||||
id="text3827"
|
||||
sodipodi:linespacing="125%"
|
||||
transform="translate(84.01424,219.70471)"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3829"
|
||||
x="365.84436"
|
||||
y="163.44473">B</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:32px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
|
||||
x="566.82928"
|
||||
y="347.06274"
|
||||
id="text3831"
|
||||
sodipodi:linespacing="125%"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3833"
|
||||
x="566.82928"
|
||||
y="347.06274">C</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:32px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
|
||||
x="217.16168"
|
||||
y="221.38152"
|
||||
id="text3835"
|
||||
sodipodi:linespacing="125%"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3837"
|
||||
x="217.16168"
|
||||
y="221.38152">D</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:32px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
|
||||
x="-19.909899"
|
||||
y="353.83313"
|
||||
id="text3839"
|
||||
sodipodi:linespacing="125%"
|
||||
transform="translate(84.01424,219.70471)"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3841"
|
||||
x="-19.909899"
|
||||
y="353.83313">E</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:32px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
|
||||
x="373.31058"
|
||||
y="491.95804"
|
||||
id="text3843"
|
||||
sodipodi:linespacing="125%"
|
||||
transform="translate(84.01424,219.70471)"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3845"
|
||||
x="373.31058"
|
||||
y="491.95804">F</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:32px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
|
||||
x="496.50308"
|
||||
y="448.40515"
|
||||
id="text3847"
|
||||
sodipodi:linespacing="125%"
|
||||
transform="translate(84.01424,219.70471)"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3849"
|
||||
x="496.50308"
|
||||
y="448.40515">G</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:32px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
|
||||
x="225.22279"
|
||||
y="491.27826"
|
||||
id="text3851"
|
||||
sodipodi:linespacing="125%"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3853"
|
||||
x="225.22279"
|
||||
y="491.27826">H</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:32px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
|
||||
x="173.84509"
|
||||
y="458.23788"
|
||||
id="text3166"
|
||||
sodipodi:linespacing="125%"
|
||||
transform="translate(55.348711,188.53777)"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3168"
|
||||
x="173.84509"
|
||||
y="458.23788">5</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:32px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
|
||||
x="467.15298"
|
||||
y="516.18628"
|
||||
id="text3170"
|
||||
sodipodi:linespacing="125%"
|
||||
transform="translate(55.348711,188.53777)"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3172"
|
||||
x="467.15298"
|
||||
y="516.18628">3</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:32px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
|
||||
x="424.36035"
|
||||
y="355.71384"
|
||||
id="text3174"
|
||||
sodipodi:linespacing="125%"
|
||||
transform="translate(55.348711,188.53777)"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3176"
|
||||
x="424.36035"
|
||||
y="355.71384">4</tspan></text>
|
||||
</g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 9.9 KiB |
BIN
2nd/DS/DS_1212/fig/paveDroit_corr.pdf
Normal file
BIN
2nd/DS/DS_1212/fig/paveDroit_corr.pdf
Normal file
Binary file not shown.
BIN
2nd/DS/DS_1212/fig/pyramid.png
Normal file
BIN
2nd/DS/DS_1212/fig/pyramid.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 131 KiB |
29
2nd/DS/DS_1212/index.rst
Normal file
29
2nd/DS/DS_1212/index.rst
Normal file
@@ -0,0 +1,29 @@
|
||||
Notes sur DS_1212
|
||||
#################
|
||||
|
||||
:date: 2015-07-01
|
||||
:modified: 2015-07-01
|
||||
:tags: DS, Géométrie 3D, Fonctions
|
||||
:category: 2nd
|
||||
:authors: Benjamin Bertrand
|
||||
:summary: Pas de résumé, note créée automatiquement parce que je ne l'avais pas bien fait...
|
||||
|
||||
|
||||
|
||||
`Lien vers DS_1212.tex <DS_1212.tex>`_
|
||||
|
||||
`Lien vers DS_1212_sujet.pdf <DS_1212_sujet.pdf>`_
|
||||
|
||||
`Lien vers Competences.tex <Competences.tex>`_
|
||||
|
||||
`Lien vers Competences.pdf <Competences.pdf>`_
|
||||
|
||||
`Lien vers DS_1212.pdf <DS_1212.pdf>`_
|
||||
|
||||
`Lien vers fig/paveDroit.pdf <fig/paveDroit.pdf>`_
|
||||
|
||||
`Lien vers fig/pyramid.png <fig/pyramid.png>`_
|
||||
|
||||
`Lien vers fig/paveDroit_corr.pdf <fig/paveDroit_corr.pdf>`_
|
||||
|
||||
Pour ce devoir j'ai essayé aussi d'ajouter des compétences mais sans réitérer plus tard...
|
||||
Reference in New Issue
Block a user