From 55632bd2e9d839325105cdd4c7960e9246f6697b Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Mon, 28 May 2018 17:40:55 +0300 Subject: [PATCH] Fin du DS10 pour les 601 --- 6e/DS/DS_18_05_30/DS_18_05_30-1.pdf | Bin 88323 -> 88616 bytes 6e/DS/DS_18_05_30/DS_18_05_30-1.tex | 32 +-- 6e/DS/DS_18_05_30/DS_18_05_30-2.pdf | Bin 0 -> 89113 bytes 6e/DS/DS_18_05_30/DS_18_05_30-2.tex | 294 ++++++++++++++++++++++++++++ 4 files changed, 313 insertions(+), 13 deletions(-) create mode 100644 6e/DS/DS_18_05_30/DS_18_05_30-2.pdf create mode 100644 6e/DS/DS_18_05_30/DS_18_05_30-2.tex diff --git a/6e/DS/DS_18_05_30/DS_18_05_30-1.pdf b/6e/DS/DS_18_05_30/DS_18_05_30-1.pdf index deb86e9cd205b065660909a16eb2af8b1680be1b..89ef05b107798b3fb492f3863c7a95e87a5fecb2 100644 GIT binary patch delta 34346 zcmYh>19V(l`!Mj>R)a>3lg74f+qRQ7n%FiQ+l{Tp*2K2$CjF-O-uJ)0wVqis>&%(M z*?T`{Kfj=#&}EI#@#IjSEG!Su78uCCuZ(`kzaH)-}; zHI+AMf@S^n48VH zRov|O1_-tQI{!Hm^m%BhMfzyhn;2vuX!hx_F-s@=L!d|Q7yibw<^EQCuC9avexrJ)i@4>VIl*z=+_wnf7GGjC^@NsJzw0 zsrub!_`X}`NDY59!D~sO;td>0{-ORc)}JC6)8(-FmLfLG#JCKRvHXMcu9ylac*nZX zGwGq9I%%&gP`=lUn=wMfb5k7V=lgQn@%*PkdZ_Kp!|r+9nLX=847tgZjcuFpxu0)l zW&#_)e*fq7L-!{pv0rCl-bfGOhbHv9y09WmSw~@BSzupH92T3aIQ095t*K$xyRH7L zpU>NdV(sMZX>9lIlINM<;?f`eho-9ElVMIUiI#=U zzxOzaH-G;YUYs=S3N>`UBXeV2pPlS55M7kNWdBXphPbumAP9K+a1^YheXT6K?rAG@ zVn3^&F?wB`=X7rF>iF$H-u-*@Dw7pVTGF3JTBV!tec`ORuwcnanak-MB}wfn*Y6KL z;M~F>qd4mOc2aZQTspL+UYVe&>3*CarEn1#+H`y9>7nIqOJ8r zzs>INxqkIgE7nYj3)qJ5@kMj^^@Pg{0P>roKM#+keBTC^eSh;6ypPNoZ`6Eu_;|Uh zt@chaWx3kwM5*2MnD&18j2D%P>`tad5VN}-U0_^3Ri^7q?({2dH`Y&t@l35=n18~Z zlcBjcZS)oNTSi~`wbC_1fRAvlU~#qSy*t}}9Z%flxx$nZh1WnY1^y@#yEdZum;Q;P4O{}2D~`mFUsgY zp8b@JQVXU(b8iacpMyLzbhJ7k)~00MoxjEPApCH}8*Ojh32Y0aju5#j100mtF!@dS z)yiaZu4{VJf#&&OplN#>pNA@LG+h$vtLT*7Rd--J1Krq5}BkOhu$8_T*w< zfv>f?uz%+KczkpV0seIB?(X2ZfU~k^G(9%wXl2-0*1`n7nZpc7%NLvK{5XUVgNTdv zm5nzEv4$x5dV-`use}A`0O)}GAGBug4Ko`D^_6qwj1;TMy>e{MXqz7LBQbfh8Ux%z zV)~0PmcjRY_+p$%eG+BXIbB|5S3NL*+pS)6d4z(TkuccJ{V6z+qtRLXkKv=I9`xls zy*yuS6NU#z2Gh(7ae{+FYcX!vb(ehC7@w2k?@ zoDFCYuK}o^7gswas&lO7f;TBCD)e^>nNH%VDq}_CylHKLjAr3=<*hm5*!@f6`HU6E zN)~i_$`R{DVqBdIWRy|1%9o6FDC0W8rbMZPrI`}M8}aN8Kk?j$zf&2$Y1K%QWU$Rl znPz#ek0qX|e+<1W*AuKcFH5X@*lptQCH;~*NB|VUq_h{_)Mx23s%Q2|(svj(-%d#M zIs#MKZEOM9lx}P^O6a3+f+y3Vg`G(P40sCH&qL!ac!%Uwx>xe2%2iS?kc$( zLnzGJdcH26`43NL)7zYTy0N16nwdS=)$2bxVH7s4Il~PigfWBPCUXq5-PoP3!h+&B zMga7P7htq8oq2;w`@gEAquVXcyR|7362=;&J!!E!KI6nqVI{TX|7i-H;cuTio~=%a zX?iG$z~cFl90z|W%5p+nQR8Ozl!6>&2%?k`VvUfO|9XuE(`8DYkOAYyyp8 zJi_jt<-?$H+s4=9=L?CU`eF9iZUc(lM=W-T4U)%mnW(ky)v=*59&K?1!fE_Ps5{aO z^|2j4$|4IQpbzQNTFw5c9?ABHuQouPE~OPgb)npTj;3W8g<1JMU-cC9pQ4iypC>x^ ztCMbjFhdZg*Ij_=sp6QNwLx9|x~S~PmZ_E5j%?^SB+Y7v!UI_jfmhDQVS=DEA zQ4H^fMSJbjO&8IE#vRTppR@RVZ)A` zHoBJ;V#ZB&jkqfqI2u4=V`U3es%jgTmG}u6>}yd>Xri}ItSZYIl35-8R~TOInJVVZ z{n#m|>B$JNFIIAe3dJ7~XMk(Vn<;3?H()|m%lPm6l?MC9GN?eziEQ(}fEvX(L&yEY z)K3Y4iiXnn=6x@gIoU198->!~y1CEs6Zoz6nm=tCPuSmRkh6WAeGo^K@=*P4PT1b1 z^+IT%X-b8jdf87EZRqO`$0)7WPquK&?b~&OjW&%nRkCBg(`|B`-vNjO1ljx==5)mJ z;4ll|Q^dA%22iSXRT~TVlPr1=?A~)r{kCRmRuL~tmkuTZA6;Zcydp3<*)`Vtp;>e& z0dzhcnbONn1l=7OFIMp?$!1|knWwx5#rdoou7{zBi-o4oKR^vGC3)-Rrm=zW$JB7q zL%sGMMhamkumQ0AGSi$`0E8>;IDq@cgLSA#kyHNVg&K}W6pcv7s&=U3=y(Dr7jBcd zb!SCAM;dgdClfqpa?>0qa;Kmx?u(+>DrvXQl@CFUz+)OJizTBLhpwjV{E0=2%&!y; 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b/6e/DS/DS_18_05_30/DS_18_05_30-1.tex @@ -162,13 +162,13 @@ \vspace{1.5cm} \hspace{1cm} \begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.25}] - \clockATick{7}{30} + \clockATick{3}{15} \end{tikzpicture} \hspace{2cm} ............ \hspace{2.5cm} \begin{tikzpicture}[cap=round, transform canvas={scale=0.9}] - \clockBTick{11}{15} + \clockBTick{4}{55} \end{tikzpicture} \hspace{2cm} ............ @@ -183,13 +183,13 @@ \clockA \end{tikzpicture} \hspace{2cm} - 10h20 + 8h10 \hspace{2.5cm} \begin{tikzpicture}[cap=round, transform canvas={scale=0.9}] \clockB \end{tikzpicture} \hspace{2cm} - 9h54 + 6h50 \vspace{2cm} \item Compléter les trous (justifier par le calcul en dessous). @@ -248,30 +248,36 @@ La force d'un tremblement de terre se mesure avec la \textbf{magnitude}. Voici les relevés des tremblements de terre de vendredi à dimanche. - \begin{minipage}{0.5\linewidth} + \hspace{-1cm} + \begin{minipage}{0.55\linewidth} \begin{tabular}{|*{4}{c|}} \hline Date & Profondeur & Magnitude & Lieu\\ \hline - 2018-05-27 & 10 & 5.1 & CHINA \\ + 2018-05-27 & 10 & 5,1 & CHINA \\ \hline - 2018-05-27 & 10 & 5.0 & FIJI \\ + 2018-05-27 & 10 & 5 & FIJI \\ \hline - 2018-05-27 & 10 & 5.1 & FIJI \\ + 2018-05-27 & 10 & 5,1 & FIJI \\ \hline - 2018-05-27 & 20 & 5.0 & GUAM \\ + 2018-05-27 & 20 & 5 & GUAM \\ \hline - 2018-05-25 & 175 & 5.2 & INDONESIE \\ + 2018-05-25 & 175 & 5,2 & INDONESIE \\ \hline - 2018-05-25 & 10 & 5.0 & MAYOTTE\\ + 2018-05-25 & 10 & 5 & MAYOTTE\\ \hline - 2018-05-25 & 10 & 5.0 & MAYOTTE\\ + 2018-05-25 & 10 & 5 & MAYOTTE\\ \hline \end{tabular} \end{minipage} \begin{minipage}{0.5\linewidth} \begin{enumerate} - \item + \item Où s'est passé le tremblement de terre le plus fort? + \\[0.2cm] .\dotfill + \\[0.2cm] .\dotfill + \item Où s'est passé le tremblement de terre le plus profond dimanche 27 mai? + \\[0.2cm] .\dotfill + \\[0.2cm] .\dotfill \end{enumerate} \end{minipage} diff --git a/6e/DS/DS_18_05_30/DS_18_05_30-2.pdf b/6e/DS/DS_18_05_30/DS_18_05_30-2.pdf new file mode 100644 index 0000000000000000000000000000000000000000..8e0f492908df000944277b3d883c58f373b8d8c4 GIT binary patch literal 89113 zcmce;Q*dtIw)Pt*GtLZVY`(E=+cw@fnXzr#wrz99wv!p#_WAGq?Ni^`wQknUS>vKt ztA5c()u?Li`L$>C-pLe1#Aq4mSYgR#7l&418JP(g2!9({!t(II(#rsC&78~$nHV`) z2><(mr5CfXb^bsHixx`#Fc}xy_F(nQ7X&$zYUkhfK!wZI~f7!;4|Q5JR>5uRV_k=RY?Rs3~@q3=WByH9tzc8gRW| zvdNX31nKv(V?b)vV`2LPP7(xq6-G5Jk;vnwblqE<8!fWxr3MKttB zGZwyfjfR6)?13G1qkAP=J=CsH4jm(FA(fjUA)a@hL8UaOJ!yXM*)BAiByyp(J!r8^ zBfB3>9_eTm(Ud6D07`uo)Q_+iNppUw0rW<&M5do2O5{^LfF0D@+|F#mBLG(NZ^avb zb!jy8S%ic-Qz@99TFcO-E3~@tR?3e)>is{I#YMjkOVf=Y-l<*PwtPVAJ)$w8chZTH zunl2fb7DdoK9gBz<$6Kh_^_%Ye5uJ9iNfrmkYX4H@kbT52Nj~Bt_}_lN#o=P zM*#& z6*;E36oUpCcBT_zS!bXehq~zl>7uac)2Xf8LAG|BUK{2c6EPOnQ7(-VPA$KVaS=In 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0/.style={fill=minutes color,text=white,minutes}, + minutes 1/.style={text=minutes color,fill=white,minutes}, + minutes font/.style={font=\normalsize}, + hours/.style={font=\fontsize{60}{66}\selectfont\bfseries,text=hours color,align=center}, + mini hours font/.style={font=\fontsize{40}{46}\selectfont\bfseries}, + } + % radii + \def\bigradius{80mm} + \def\minuteradius{75mm} + \def\hourradius{60mm} + \def\minihourminradius{25mm} + \def\minihourmaxradius{45mm} + \pgfmathsetmacro\minihourradius{(\minihourmaxradius + \minihourminradius)*.5} + \def\hourwidth{2mm} + \def\minutewidth{1mm} + + % big circle + \filldraw [fill=white,draw=minutes color] (0,0) circle (\bigradius); + + % minutes marks + \foreach \angle[count=\c from 0,evaluate={\c as \hourmark using notequal(int(mod(\c,5)),0)}] + in {0,6,...,354}{ \path (-\angle:\minuteradius) node[minutes \hourmark]{\c}; } + + % hours marks + \foreach \angle[count=\c from 1,evaluate={\c as \col using int(mod(\c,2))}] in {30,60,...,360}{ + + \path (-\angle:\hourradius) node[hours]{\c}; + + \path[fill=bg hours \col] + (-\angle:\minihourminradius) -- (-\angle:\minihourmaxradius) + arc(-\angle:-\angle-30:\minihourmaxradius) -- (-\angle-30:\minihourminradius) + arc(-\angle-30:-\angle:\minihourminradius) -- cycle; + + \path (-\angle-15:\minihourradius pt) node[mini hours font]{\textcolor{white}{\contour{hours color}{\c}}}; + } + + % hands + \pgfmathsetmacro\hourangle{-#1*30-#2*.5} + \pgfmathsetmacro\minuteangle{-#2*6} + \fill[rotate=\hourangle,fill=hours color] ++(0,\hourwidth) arc(90:270:\hourwidth) -- ++(50mm,0) + -- ++(\hourwidth,\hourwidth) -- ++(-\hourwidth,\hourwidth) -- ++(-50mm,0) -- cycle ; + \fill[rotate=\minuteangle,fill=minutes color] ++(0,\minutewidth) arc(90:270:\minutewidth) -- ++(70mm,0) + -- ++(\minutewidth,\minutewidth) -- ++(-\minutewidth,\minutewidth) -- ++(-70mm,0) -- cycle ; +} + +\newcommand{\clockBTick}[2]{% + \draw (0,0) circle (2cm); + \foreach \angle / \label in + {0/3, 30/2, 60/1, 90/12, 120/11, 150/10, 180/9, + 210/8, 240/7, 270/6, 300/5, 330/4} + { + \draw (\angle:1.8cm) -- (\angle:2cm); + \draw (\angle:1.4cm) node{\textsf{\label}}; + } + \foreach \angle[count=\c from 0] in {0,6,...,354} + { + \draw (\angle:1.9cm) -- (\angle:2cm); + } + \draw[rotate=90] (0,0) -- (-#1*30-#2*30/60:0.7cm); % hours + \draw[rotate=90] (0,0) -- (-#2*6:1.2cm); % minutes + \path [fill=black] (0,0) circle (3pt); + \path [fill=red] (0,0) circle (1.5pt); +} + +\newcommand{\clockA}{% + % colors + \colorlet{minutes color}{blue!50!cyan!70!black} + \colorlet{bg hours 0}{yellow} + \colorlet{bg hours 1}{red!50} + \colorlet{hours color}{red!80!black} + % styles + \tikzset{ + minutes/.style={circle,inner sep=0,text width=5mm,align=center,font=\bfseries}, + minutes 0/.style={fill=minutes color,text=white,minutes}, + minutes 1/.style={text=minutes color,fill=white,minutes}, + minutes font/.style={font=\normalsize}, + hours/.style={font=\fontsize{60}{66}\selectfont\bfseries,text=hours color,align=center}, + mini hours font/.style={font=\fontsize{40}{46}\selectfont\bfseries}, + } + % radii + \def\bigradius{80mm} + \def\minuteradius{75mm} + \def\hourradius{60mm} + \def\minihourminradius{25mm} + \def\minihourmaxradius{45mm} + \pgfmathsetmacro\minihourradius{(\minihourmaxradius + \minihourminradius)*.5} + \def\hourwidth{2mm} + \def\minutewidth{1mm} + + % big circle + \filldraw [fill=white,draw=minutes color] (0,0) circle (\bigradius); + + % minutes marks + \foreach \angle[count=\c from 0,evaluate={\c as \hourmark using notequal(int(mod(\c,5)),0)}] + in {0,6,...,354}{ \path (-\angle:\minuteradius) node[minutes \hourmark]{\c}; } + + % hours marks + \foreach \angle[count=\c from 1,evaluate={\c as \col using int(mod(\c,2))}] in {30,60,...,360}{ + + \path (-\angle:\hourradius) node[hours]{\c}; + + \path[fill=bg hours \col] + (-\angle:\minihourminradius) -- (-\angle:\minihourmaxradius) + arc(-\angle:-\angle-30:\minihourmaxradius) -- (-\angle-30:\minihourminradius) + arc(-\angle-30:-\angle:\minihourminradius) -- cycle; + + \path (-\angle-15:\minihourradius pt) node[mini hours font]{\textcolor{white}{\contour{hours color}{\c}}}; + } + + \path [fill=black] (0,0) circle (3mm); + \path [fill=red] (0,0) circle (1.5mm); +} + +\newcommand{\clockB}{% + \draw (0,0) circle (2cm); + \foreach \angle / \label in + {0/3, 30/2, 60/1, 90/12, 120/11, 150/10, 180/9, + 210/8, 240/7, 270/6, 300/5, 330/4} + { + \draw (\angle:1.8cm) -- (\angle:2cm); + \draw (\angle:1.4cm) node{\textsf{\label}}; + } + \foreach \angle[count=\c from 0] in {0,6,...,354} + { + \draw (\angle:1.9cm) -- (\angle:2cm); + } + \path [fill=black] (0,0) circle (3pt); + \path [fill=red] (0,0) circle (1.5pt); +} + + +\begin{document} + +\competencesStatement + +\maketitle +\bigskip +\begin{exercise}[subtitle={Quadrilatères}] + \begin{enumerate} + \item Tracer les figures suivantes avec le plus de précision + \begin{multicols}{2} + \begin{enumerate} + \item Un quadrilatère $ABCD$ \\[4cm] + \item Un losange $IJLK$ \\[4cm] + \end{enumerate} + \end{multicols} + \item Comment reconnaît-on un rectangle? + \\[0.2cm] .\dotfill + \\[0.2cm] .\dotfill + \\[0.2cm] .\dotfill + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Tremblements de terre}] + La force d'un tremblement de terre se mesure avec la \textbf{magnitude}. Voici les relevés des tremblements de terre de vendredi à dimanche. + + \hspace{-1cm} + \begin{minipage}{0.55\linewidth} + \begin{tabular}{|*{4}{c|}} + \hline + Date & Profondeur & Magnitude & Lieu\\ + \hline + 2018-05-27 & 10 & 5,1 & CHINA \\ + \hline + 2018-05-27 & 10 & 5 & FIJI \\ + \hline + 2018-05-27 & 10 & 5,1 & FIJI \\ + \hline + 2018-05-27 & 20 & 5 & GUAM \\ + \hline + 2018-05-25 & 175 & 5,2 & INDONESIE \\ + \hline + 2018-05-25 & 10 & 5 & MAYOTTE\\ + \hline + 2018-05-25 & 10 & 5 & MAYOTTE\\ + \hline + \end{tabular} + \end{minipage} + \begin{minipage}{0.5\linewidth} + \begin{enumerate} + \item Où s'est passé le tremblement de terre le plus fort? + \\[0.2cm] .\dotfill + \\[0.2cm] .\dotfill + \item Où s'est passé le tremblement de terre le plus profond dimanche 27 mai? + \\[0.2cm] .\dotfill + \\[0.2cm] .\dotfill + \end{enumerate} + + \end{minipage} +\end{exercise} + +\begin{exercise}[subtitle={Le temps}] + \begin{enumerate} + \item Quelle heure indique ces deux horloges? + ~ + + \vspace{1.5cm} + \hspace{1cm} + \begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.25}] + \clockATick{1}{25} + \end{tikzpicture} + \hspace{2cm} + ............ + \hspace{2.5cm} + \begin{tikzpicture}[cap=round, transform canvas={scale=0.9}] + \clockBTick{7}{45} + \end{tikzpicture} + \hspace{2cm} + ............ + + \vspace{2cm} + \item Placer les aiguilles correctement. + ~ + + \vspace{1.5cm} + \hspace{1cm} + \begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.25}] + \clockA + \end{tikzpicture} + \hspace{2cm} + 9h20 + \hspace{2.5cm} + \begin{tikzpicture}[cap=round, transform canvas={scale=0.9}] + \clockB + \end{tikzpicture} + \hspace{2cm} + 4h55 + + \vspace{2cm} + \item Compléter les trous (justifier par le calcul en dessous). + \begin{multicols}{2} + \begin{enumerate} + \item $1h =$ \parbox{2cm}{\dotfill} min + \\[0.2cm].\dotfill + \item $7h =$ \parbox{2cm}{\dotfill} min + \\[0.2cm].\dotfill + \item $4h 45 =$ \parbox{2cm}{\dotfill} min + \\[0.2cm].\dotfill + \item $20min15s =$ \parbox{2cm}{\dotfill} s + \\[0.2cm].\dotfill + \end{enumerate} + \end{multicols} + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Histoire de champs}] + Voici de 2 champs. + \begin{center} + \includegraphics[scale=1]{./fig/champs-2} + \end{center} + + \begin{enumerate} + \item Lequel des 2 champs va demander le moins de clôture pour faire le tour? + \\[0.2cm] .\dotfill + \\[0.2cm] .\dotfill + \\[0.2cm] .\dotfill + \\[0.2cm] .\dotfill + \item Lequel de ces 2 champs va donner le plus d'espace pour des faire vivre des chèvres? + \\[0.2cm] .\dotfill + \\[0.2cm] .\dotfill + \\[0.2cm] .\dotfill + \\[0.2cm] .\dotfill + \end{enumerate} +\end{exercise} + + + +\end{document} + + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: +