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--- /dev/null +++ b/3e/DS/DS_17_09_28/DS_17_09_28.tex @@ -0,0 +1,62 @@ +\documentclass[a4paper,12pt]{article} +\usepackage{myXsim} + +\usepackage{wrapfig} + +\title{DS 2: Fin de l'échauffement} +\tribe{Troisième} +\date{28 septembre 2017} + +\begin{document} + +\maketitle + +\begin{exercise}[subtitle={Techniques \Cal}] + \begin{enumerate} + \item Faire les calculs en détaillant les étapes + \begin{eqnarray*} + A = 16 - 3 \times 10 & \qquad & B = 2 - (23 - 15) \times 45 + \end{eqnarray*} + \item Trouver tous les diviseurs de 30. + \item Décomposer 48 en le plus grand produit de facteurs. + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Agrandissement \Mod \Com}] + Quelles sont les longueurs des côtés du triangle blanc? + + \includegraphics[scale=0.9]{./fig/agrandissement} +\end{exercise} + +\begin{exercise}[subtitle={Confiseries \Rep \Cal \Rai \Com}] + Un confiseur lance la fabrication de bonbons au chocolat et de bonbons au + caramel pour remplir 50 boîtes. Chaque boîte contient 10 bonbons au chocolat et 8 bonbons au caramel. + + \medskip + + \begin{enumerate} + \item Combien doit-il fabriquer de bonbons de chaque sorte? + \item Jules prend au hasard un bonbon dans une boite. Quelle est la probabilité qu'il obtienne un bonbon au chocolat? + \item Jim ouvre une autre boîte et mange un bonbon. Gourmand, il en prend sans regarder un deuxième. Est-il plus probable qu'il prenne alors un bonbon au chocolat ou un bonbon au caramel? + \item Lors de la fabrication, certaines étapes se passent mal et, au final, le confiseur a 473 bonbons au chocolat et 387 bonbons au caramel. + \begin{enumerate} + \item Peut-il encore constituer des boîtes contenant 10 bonbons au chocolat et 8 bonbons au caramel en utilisant tous les bonbons? + \item Le confiseur décide de changer la composition de ses boîtes. Son objectif est de faire le plus de boîtes identiques possibles en utilisant tous ses bonbons. Combien peut-il faire de boîtes? Quelle est la composition de chaque boîte? + \end{enumerate} + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Rangement \Cal \Com}] + La documentaliste veut réorganiser le CDI. Elle a 372 livres à ranger dans des étagères avec 7 étages. Dans chaque étage, elle a compté qu'elle pouvait ranger 10 livres. + + Combien lui faut-il d'étagères pour ranger tous ses livres? +\end{exercise} + +\end{document} + + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: + diff --git a/3e/DS/DS_17_09_28/fig/agrandissement.pdf b/3e/DS/DS_17_09_28/fig/agrandissement.pdf new file mode 100644 index 0000000000000000000000000000000000000000..399abf9ebc8b07358681d1940090ad6e13da19b4 GIT binary patch literal 5731 zcma)Ac|25a`_@8?oxWskC`;MKY-Y+52FX$x`&MHN#xgU_j1VD>T@)oDA&Dqage)0L ziL_WENn?+cB}}2-8PeOg-rwi*JLk+fb6?N>Ecbms&mY&Na0F$nrl}4CD3nj%Sq4CX zARy7r8=$QX)G)^pJgHtl7z?rj0D(XaW4tdFM`nF}F;pB1hb6k>0J^#W3YCn*_yGbl z{jJ&v+ckx1mQ}u00`of$KRE3!XJ9ZSl;+g5NmxPo4RWi%imsoAuf1)%S8-~ajZ3#I z*V6!obDC6Hg)3(rVYKiCO}FlBk;Ya*JpktHwW?*^`p4vD32vTGaShu7H)lmB`II?m zp5jQsYDM$QYjuV5X9OTPOtSBX?mH2Fn1oiRW?m>b;}1=~$k?t}rYH3Sv#OF+L(wyF z<+}A1#f5(pIYpUW-DEkdG4lMLFNrWm!q4?{;(n07T#M-Qt`|!k6qgf9P=7g)gR$S` zbC)nW8JdGjv;W-oX(4{0R5ik-Tct5q+2G^dcb5i2kN=YqlkOqUlP@NE3WC=$5y~2N zkS+qf)@^vO#r=6h;Q~BH%p%C`wTZ=1vW2YDgzQPzEKGM4dUzLa7o<>_5 zPIWKGc;*aDSJ_+Ii|>9}bMX9$%lg_1zUeDIwh;|-U)yXO-zY!UNqnaJ!Ti4WBR4N& z#$#1*!&Ld(i^r12uSf!L1oxj6VEtp)j$JVJmsK)|7L47_wjjSMyH-o1K&lCv%Bmw! zTbm8AE)5KbWdJn{^?{l|4J?NBW>uHfu>RICCK9N>d3&gV)IdP^#_nJ_v7VokfqzW~ z)UXaB;eZ-PFrK)ziH~5&IMz6t8~rpaaPD}F0WlEh#DYLTO$1UM1VO-&aG<6pLR}Mr zK*GU5m$klztQD|2Q-JJky1pk($V7kAZ>w6LZ4KQB3(Z;s8AG6u*fV2;HegdAmF&N^ zCU)$GEH4!9Bp!>iGBIGg{0!O(MUe;gIWuVwwOqr#qM{Y+^B zp$I7GUuS39F4*4MF1dsgV++ic9h?EKV7&Z*;C-pOgHdTbWMVd(UsvvYHgMw0@^l-wAB94S zp)J&BtZf!Oa+S9{58(MT~8(#p5=A2*f;EoW>TRJ|ly*>bX7z{^xkn zK03B?aVu39OavO{(F@yFBK`!Z|x$drVe#PPwmUU-41E`&ESx-B)pl7?4qM`BbM!GAZ2S7#v@6 z^{9W-=*Yy$iu?D=y>26~lwT4?u2B5seDUe{*9R1ZcS1T zPuA++H2PMd=2UUP=qQnvT5lf|P8j&Ww5sZzZGCet!&XHB>bqD|MG?sQy87+3<>6Hy z@$XwVKiyaIG;2<*@_4x3yNcJLUCtkbf*A#l5)Yb7_q>}Z)6Yl8zqaYR8g^T)xPQ8* z9eaVNl?PBH-f5Q?^eAVOj~1vU^jgd%9Wz4l$F0>0&`m1Di|s3mc2rtw49x9SI&t*N zSRr~sd-Z~D?mRjlo+zoX$h}DGo#!4dm_R&De~4IIczobStZ5-xoXfT9=Gs;t3s{wl=}UsSspU-B0WqrD$4H;)*Y|B}_c71R?4QbUg(~y+X7{w6 zI(s6_$}icf>0q9uTV|;Pqkw05k4*zczHOVPW#wl@+>dIV;GPqr`K9|?T)h&ct(M>Z zBln?ayi5PKTg|~854S{TzJ0LNRam=hxi@~QdMW$!hcQtj>U@UAgioo1s#s_9ncdvO z6%QeYGC4Q%sMr4!(71QYEjs4_U-9YAZNjpr-V#VGLwf2Ns2gq*xw0wyoT(6|%$`9)Xr)>W$ z3F|aF(JLiM4SEIVDVI*(v3VS4XuF(ibDiRHJaUyHNW0i2t8*^}C2oK({$OjF?1$ya@kXMuxdVVNfr~vg>YSr zreyKkGDRc#{W6DrGheE<>@6IJVqjoFH-;CBs@)i+TPqz(G^3K(T5Jg9s!wAQK;KGC5np20vgauA>q|>3CmX?3HQF+Grzdc zihpqIs)Ti%s7BU3?rtTQortYQsUNhT0^iE6?h1tISC2PtZseWC@yrjXV9xpAR-V!> zeKI5|H#B$z^#$~8IsP7W;Sg)6J$b5UV_OZ|a-SlzFr{_OHgjI*jdeu+H z4LBEl>RGCE6%zmcRCoAT!n3#LnLGLQcAXh4&7Pw$m*%uo2A%i0|HqXXsUen;ZF!51QzN8E$XI|ZA_$oVn)MsYm4Jqq{K3MWtLXyfYb@P|LwB3*=+om6Vx>lO9-h>dXr;br^D z?nXcR$gfYq-2I=zvG(m1Q~rga z)n!N2#JXoLIr?UHc-9v=HGz}%i1y`*AfEZ<=wmaYV!A7{VBMagISmNo>Bq}ow_=e_ z{2-}&7{#Pi`q6?&K0X7^YuhVcgO0o#ySl$y#g`Jexad6Pu$=N}Aw@-By6kN44r9MX}x&yPQ= z<#kxFBb>x#o!_PKMSV~gMxGEnFD;zNXbE`L|9L^r)qAIp2GqsF>e_Y}{f@wAxhRhP ztATr<4X%Ngf7CbAg&pO^&nmVta`_A-21V2l?SFtUrtbPU=1SZ|Xm}XR?4S>F0tuy7 zQ-}(C+0?naDArGR&Ge8}0b z8fJ=M7~hcJ{_h8RjhTb4EAJ8qIcHPFiG&^MM3D-v*?wRJZ6-q~)PmW4d<85{6bfZD zPQ6xaozkyq;VrSC7hPLQu`^@_>D3r8B^Wn#S2UDDMVi`ZJ53nZp3YuJGfn7bH7iy~ zxR#E5MqB9zVc!*yK3pU;E&PWmb0_VGC6h?w*I&ujH4Qyre~tEec}AWQTqHB6qg5vr zKhFJJq|T5DXGqY)6jsFPVT#%ofpIf=TLvA6FA;@%t|AnsxDQKfBr91mVn-)u^#Vs{ z<-?R@mx{t>hBWD605>(pXC5E!Fq1%NxXH&rrbUUi^dqgJ>mwPi#fkL6vRC!|3_1Fs zknC=4p~z*P!CueHL?-E)%o5k#xXad@Cj=RvTx_c{NSFT!_(W>Gy6J7HOUi!dN|(mh z&zO>oBK?ezOCYbtL+`95n*5xm$^Ba@yAw-jq_(!3BVzQ+DsdxiH)lpiy_-vF%W}C@ zRwheoE3c3`Tk6Q7jF!5}Gtb_Fq+gfZd$M5Z?AcJ>ZZGu+me3`sap&aw5^lTO)F(DH z6`9Hi5|RNn2pcyW9i3C4&yhnk!_DTgBUT#fa?a+JPZD`=S3XM65b6-bIB<_gk_g=6 zLLG`LCiHRi43d5&(HTh*(KWMoOneSHYQThISo@GcrQ^?*B53GhdlYj!BZU^p>EW=0 zz8Rt`Je7QyNdhy5Rlm+UwRZHlZL+7vn`VJp2I?bIu!03FP)94;M{3WSC#tq%_%SGZapVt z*}*-Zf7#(KG0JqY8`MZU9g_C0U!`+P??bzbAE%pLk1`J&E(tk~Sp4E9SYosogDT;C zD4H*vZ|nx>zakQu#i1AtinTZhIG)QtkdU1LlB3O5O}NpGdey>DBv?yhREcr^7`~ho zP&z1193{N3*VaVcdvu4yf&DqpBvt%qwyu8XjCgY#3`H?pHR6HLeJ_RH_eU$*B!=&B zR~PZbTI`ijhHf=Ds(~`l7q{IT0#?$?{PpDeb^syf#!Tu*~;Gq{Ke2>nS&>7d*LS3lk*Qs&UD&La(tIq zCiX=giym)C=U&l4Al*U>Dfr6D)P4CGRb9cjAw^lw zfY5bXSFdVUwa7{M#-XN~)beYZUQ8)^gj3-fv6x2s8MXr@=bESJMQ6 zK|nPqi_mLoAt69bFl2+;n^G~pc&t9b(-#K>t@YEVVA(rsDi;fr$0~Y~$dD!48MT$#GyHo3{T>DlPOd~FARAj0p^&WHXOM&z`wK2QaOI@b|V5yQ^ONHff{yr zfG6Dcz5<1*$R-=FWJVQt@!+=ooN0p5FH^C z-TkpFVNn^2!IOzVO?6F}Is&NdMWvGVX|RMS7U)UFki76%iaL?(xo6MsBmGy`+K`$I zF|55r^jyo?+PZ#IFo>0~KQZuMeW5TdR%!n5gCSXJ z*}pLu81h#fFbKOS8-7$WhILxVYdSC*e+tLW6Uugh5& TGIcGxFbJHbDJvKqHU|6$Li1r$ literal 0 HcmV?d00001 diff --git a/3e/DS/DS_17_09_28/fig/agrandissement.svg b/3e/DS/DS_17_09_28/fig/agrandissement.svg new file mode 100644 index 0000000..c036638 --- /dev/null +++ b/3e/DS/DS_17_09_28/fig/agrandissement.svg @@ -0,0 +1,187 @@ + + + + + + + + + + image/svg+xml + + + + + + + + + + + + A + B + C + D + E + 6,5 + 4 + 5 + 25 + + +