From 208bfdbfde8799db2064104978c6afcc73527cc7 Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Sun, 28 Feb 2021 20:53:39 +0100 Subject: [PATCH 1/2] Feat: QF pour les TST --- TST/Questions_Flash/P4/QF_21_03_01-1.pdf | Bin 0 -> 69990 bytes TST/Questions_Flash/P4/QF_21_03_01-1.tex | 70 ++++++++++++++++++ TST/Questions_Flash/P4/QF_21_03_01-2.pdf | Bin 0 -> 71808 bytes TST/Questions_Flash/P4/QF_21_03_01-2.tex | 89 +++++++++++++++++++++++ TST/Questions_Flash/P4/QF_21_03_01-3.pdf | Bin 0 -> 72389 bytes TST/Questions_Flash/P4/QF_21_03_01-3.tex | 89 +++++++++++++++++++++++ 6 files changed, 248 insertions(+) create mode 100644 TST/Questions_Flash/P4/QF_21_03_01-1.pdf create mode 100755 TST/Questions_Flash/P4/QF_21_03_01-1.tex create mode 100644 TST/Questions_Flash/P4/QF_21_03_01-2.pdf create mode 100755 TST/Questions_Flash/P4/QF_21_03_01-2.tex create mode 100644 TST/Questions_Flash/P4/QF_21_03_01-3.pdf create mode 100755 TST/Questions_Flash/P4/QF_21_03_01-3.tex diff --git 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b/TST/Questions_Flash/P4/QF_21_03_01-1.tex new file mode 100755 index 0000000..bbdb42a --- /dev/null +++ b/TST/Questions_Flash/P4/QF_21_03_01-1.tex @@ -0,0 +1,70 @@ +\documentclass[12pt]{classPres} +\usepackage{tkz-fct} + +\author{} +\title{} +\date{} + +\begin{document} +\begin{frame}{Questions flashs} + \begin{center} + \vfill + Terminale ST + \vfill + 30 secondes par calcul + \vfill + \tiny \jobname + \end{center} +\end{frame} + +\begin{frame}{Calcul 1} + On place 100\euro dans un compte en banque. Les intérêts sont de 12\% de la mise initiale par mois. + + \vfill + On modélise la quantité d'argent sur ce compte par une suite notée $(u_n)$ où $n$ décrit le nombre de mois depuis le premier placement. + \vfill + + Déterminer la nature de la suite et ses paramètres. + \vfill +\end{frame} + +\begin{frame}{Calcul 2} + Une entreprise a fait 2,3millions d'euros de chiffre d'affaire. Elle en reverse \np{500 000} à ses salariés. + + Quelle est la part du chiffre d'affaire reversée à aux salariés? + +\end{frame} + +\begin{frame}{Calcul 3} + Résoudre l'inéquation suivante + \[ + 0.3^n \leq 10 + \] +\end{frame} + +\begin{frame}[fragile]{Calcul 4} + Comment compléter le programme pour qu'il affiche la plus petite valeur de $n$ tel que $u$ est inférieur à 40? + \begin{lstlisting}[language=Python, basicstyle=\small, frame=] + # Initialisation + n = 1 + u = 100 + + # Boucle + while .......: + n = n + 1 + u = u * 0.7 + + # Résultat final + print(n) + print(u) + \end{lstlisting} +\end{frame} + +\begin{frame}{Fin} + \begin{center} + On retourne son papier. + \end{center} +\end{frame} + + +\end{document} diff --git a/TST/Questions_Flash/P4/QF_21_03_01-2.pdf b/TST/Questions_Flash/P4/QF_21_03_01-2.pdf new file mode 100644 index 0000000000000000000000000000000000000000..5e05e23ae5c768b24d6842b23fced65cb8fd7338 GIT binary patch literal 71808 zcmce+1CVV^wl!L|ZQHhO*D2d})hXMyZQHhO>y%E}u6pO|+x`9Kf6SC==mG%<39 zqE~h?bpBh7n4O~y6upp;-A@9ozxp#W{OzLyMgLdJ-`-+`qL(#rcC`4@gYi#~Kka{g z|LLJ*;$-LIXk_9Z5Ci&+~un~0bg*%_Na z@$o@9IXjvd*g*Za?b;P`hL!StWoPE7x{?Zoug8vkc7!SvUn|672~#Q7gHg846}^=~nPndv`g z#9ur2-($r8A7C@HG0|}_vl1|~(y=fz|1XaV=6@T$+5TGUe?a5!rxC{=B>va)e?N_u z)uio^84-F;)TZirhkkxMp$f)(Odf)jMYNm=ODQEN+&-t*ukMg)AXY305u0>>@yyzN zXhOCU>@P~-HA&Dab&`q%xJrT82)dIhaIVqro3d~!y_r=DKwl10L3e6#1eFMD(h0mn z5K?~z$fSeG;R{+&XF25sL*ivTnnM>7TVOCq#>Mmx!0RW|g5+x_#gBMDAdTn2=~^j} zge)*MGN<*K4`lQUyoZsEK0^!Ll4goYyg8JRjbP}@u3#uO>!@PV(llqpVGEEin3skU z60RxJ2zd`9?OJ@XNj5Z$F}!-h`OAsa5;GHoj@=U}r1=vF(<;e<&I>g|65LT&5Qc3z zsx@%6bQ5IB6i+Oi1EI)C^4*Fi+5iZl&8VP}<330=`y?ip1Y>u*EyYrfNW_n~03~k& zeSWLBo&~XG8+uJM3zwwNPv<5$F>Xw@-z(F^d+b8FaYHk~quHc`naxtuepN5Ioq%cizSF|L8WAmHOzmAOe`UiaO1V8)66rX)`V($q4+EjQ;fqhWpqfA0(M)L zOWlcj>A9$8rAt6%(&q{!ElMWBrJsJ&rP@^qVv-J%wQCSAp>!mv!WfR!(gH4|*yf&tI zTEHu-7hfh1-Sh4>KHK|!J=5I(#+AZXlLIW|2>|%+m zU)q7WX-~Rc2t4I2LDGvu37uFUqWxCB2;^bYLkUvH3Q`mD`wy>d9bU$_Sux1uG5+M5 zp)W!0h?>%>EcDmWcVlO=b}}pqZ-fn%1y1s)rXDm|_Ra8hWE;kPBvG;#sSmm_WAd&g zx-!4(a|LRF(2>;f%&{&l>p?2oBeQJNqu8+$s-{+yZ0ZDij8#=hC`mP{&FE3Acg|6@oLhs1|BFH zIDk%u;qhGL00Oajr6Lg0%A&_{X1ZLc(#cKSXbh!g_^$(|nFxTCa39c2>rPZbnJ9NJ^( z#lUWWvGVn=qkFb#AIfrmxRm4fV#7Ig(4Ou$(R&J5b4thU9iR}=EivXYVfICY9a65~ zFmU551!OpbORn2T#7^Qu*Z`Rnk7}UOVvrvoW2UyIH0kSlXzeDGwy>a`mBsrCe{gA9 z;`6zry^LNiodm12WsZnui3@L9ZLF8*>Gakw?|%8^^W}eY5yC8m7I z$;x);=QkXnU4O8R?S(mnGSS*z57XaYt7RTHY0xyQI;nqnyuY^l(GAEG5D2SU0BHn_ zJoyu(pk>0wE`{AWv{&^_75= z$1GWQjU5H00JCiTn5@{%)=Vekr*&qvYdq@U-${phg06G&ni~b~k0=(`b)eTeplVtn z?HX+1C#&?76Y)*F*ScI3Zq>mzcFvE3+@fL}W+v;n`W<_Y!AohJ zXNN8~JU7Wzp!7Q;DyvW;Rkwn8Tv9=>AHyN)U{fq0i(Oc z>dntrptHKM#LxS9Ln+ivxAUCKHqW=^f*gE#<^B2z(P1rHGF_-O#!5KFB}R8i?~eoT z%h1hr{N>W&n16OojEw(1_WVcA%EbEjFyVg?C8*0fZL%SBzpL$0;6~}+MhnBsVz(Yj zTWKvyCj^SuZ_h~lxO6C8^xbVG0aPN96-PZ^Ne>sGLw|odGyqf&=guF3C$C^f5*v5{ z2uB*R!i+}dGMC(l9L09$c;|OGWW@HJ-C&75KT2|^g@}Ik9sWP9VadIA0*F@ zPTcV{D2f)WY9)t1FwUbDlMymjaz2pnSH=@b+8|H9;VsI80F#9ofq-RIiedI7r5hRt zosIgz!au(9bt$>0XR;_2?2A(_ODS3(%$jn_WE&9^4_D~_>qlJb@~SJ|u#`}CxJEfQ z@%b~3UW9hV==7HL3P*vZlM%BmL-)##E+QqyS=!uWt6+zv+ z30)o*kJz-Aw~+7biScepTW{i76i)f)-9)pQ>Pmd|j%b)T7Aki%1U8&@d>++^d5yQ(679KRgppVE6OPmpw?RB{qs@ryQ{;IG?ccc$bkwg2djpqu-8zp zeAiWf;)X;jrDkwy#cGrzcZ-x0?N^t0f(EIBiu&!S_d_hF#NStY>pxoN^bXG(UeA?! 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+\author{} +\title{} +\date{} + +\begin{document} +\begin{frame}{Questions flashs} + \begin{center} + \vfill + Terminale ST + \vfill + 30 secondes par calcul + \vfill + \tiny \jobname + \end{center} +\end{frame} + +\begin{frame}{Calcul 1} + On place 100\euro dans un compte en banque. Les intérêts sont de 12\% par mois. + + \vfill + On modélise la quantité d'argent sur ce compte par une suite notée $(u_n)$ où $n$ décrit le nombre de mois depuis le premier placement. + \vfill + + Déterminer la nature de la suite et ses paramètres. + \vfill +\end{frame} + +\begin{frame}{Calcul 2} + \begin{tabular}{|*{4}{c|}} + \hline + & Homme & Femme & Total \\ + \hline + Employé & 10 & 15 & 25 \\ + \hline + Vacataire & 14 & 17 & 31 \\ + \hline + Total & 24 & 32 & 56 \\ + \hline + \end{tabular} + + On note + \[ + A = \left\{ \mbox{Homme} \right\} \qquad + B = \left\{ \mbox{Employé} \right\} \qquad + \] + + \vfill + Calculer $P(A) = $ + + + \vfill +\end{frame} + +\begin{frame}{Calcul 3} + Résoudre l'inéquation suivante + \[ + 5\times 1.1^n > 10 + \] +\end{frame} + +\begin{frame}[fragile]{Calcul 4} + Comment compléter le programme pour qu'il affiche la plus petite valeur de $n$ tel que $u$ est supérieur ou égal à 140? + \begin{lstlisting}[language=Python, basicstyle=\small, frame=] + # Initialisation + n = 1 + u = 100 + + # Boucle + while .......: + n = n + 1 + u = u * 1.1 + + # Résultat final + print(n) + print(u) + \end{lstlisting} +\end{frame} + +\begin{frame}{Fin} + \begin{center} + On retourne son papier. + \end{center} +\end{frame} + + +\end{document} diff --git a/TST/Questions_Flash/P4/QF_21_03_01-3.pdf b/TST/Questions_Flash/P4/QF_21_03_01-3.pdf new file mode 100644 index 0000000000000000000000000000000000000000..5a438c89ff752bc994dcfc9e1cd5edf3a4c56048 GIT binary patch literal 72389 zcmce+1B`CXx-HzcvATP;ZQHhO+qP}nHdfoVZQEFFci;7G{P*OZll=SMWbc{0Z)U1$ z&eW5t@zgWMn8b2IBGmLW%uvL$i$kkW^mKT1c(w)>P+VM4v`X%F#(1=9vIZ8$hE7nl zip~a3e`^u3b+Cq_6%ep>!_)k0JU!jte%es9fA#$BDS9YcX?-UL^FJf#|BU$4|JVPY z5emkRw$2WQ#*TROe>EvU(MlQHm^zu^(KF-yZBV#BY z9w0KZI@K3DlXcvKZXZvm{P7+W2Vi9p&1ZrV3JG$z&*^n5+r;XK74rgw#$8`rGqxWZ zkS%z73t~8pV$=#9#6kfs5+K(6?!eD4tW zl%D}o>0mOr{N|Kdj(Ne5I2n&-(1nEN=yc+7F@62;ddbuv`C3Ww!`=@_V|j2omU2WP z^9&7)X}xCs8GU^3VI(8Z&;qx_nId9u_9Z04=z7x2=<-e4${5sCO&M{Re5CVcrJ?xv 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+\begin{frame}{Calcul 3} + Soit + \[ + z = -\sqrt{2}- \sqrt{2}i + \] + On donne $r = |z| = 2$. + + Déterminer l'argument de $z$. +\end{frame} + +\begin{frame}{Fin} + \begin{center} + On retourne son papier. + \end{center} +\end{frame} + + +\end{document} diff --git a/TST_sti2d/Questions_Flash/P4/QF_21_03_01-2.pdf b/TST_sti2d/Questions_Flash/P4/QF_21_03_01-2.pdf new file mode 100644 index 0000000000000000000000000000000000000000..97c30979802c923b6d3a52b601b22cd1fd957f93 GIT binary patch literal 59757 zcmce-1CSuWwkF)}p0;gFcTd~4ZQHhO+qR}{+qP}n?*3=qzPr1Byc@A^H{#xksEVx2 ztcp63dA{@IcPdF_1%;{TsF@&1W)=olAn9oFY4L6J%^^8CA!!udY>n_~RAuzdjSL(i zX%w9F9si?7*v8%pl7^q(#uZ=VZ+|-4|2VZEY5unS$5V8WG*Wtw_GW*2(EaK0r~U8s zPY-z`2OB4Q10x4~y1!NOkTjA;)+Uao_;gJ8|9Sj*jhUsRkv%?*u%(`(k)V-*jiC`F zH#ek%qrH)y6{PFhJlvEl+0+gY0Qe{14WyB^;eWRLDgFI+I)*=Q{x=!H_%Abp>ECAr z^S{gpmVciStp6$_=>L7wiT+=>HD-zr?ZW+5T-tF#H9re~A$c^#491 z{?6QgjS>GZj?KVKPtD4}gwMc4&B(y;e;F8n{CBAT;Tr!LjaZpz|J%`MQAI)q 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Terminale ST \\ Spé sti2d + \vfill + 30 secondes par calcul + \vfill + \tiny \jobname + \end{center} +\end{frame} + +\begin{frame}[fragile]{Calcul 1} + Soit $f(x) = a e^{0.1x} + 2$. + + On suppose que $f(0) = 5$. + + Retrouver la valeur de $a$. + + \vfill +\end{frame} + +\begin{frame}{Calcul 2} + Démontrer que + \[ F(x) = (2x+1)e^{-0.5x} + 10 + \] + est une primitive de + \[ + f(x) = (-x+1.5°e^{-0.5x} + \] +\end{frame} + +\begin{frame}{Calcul 3} + Soit + \[ + z = -\sqrt{3}- i + \] + On donne $r = |z| = 2$. + + Déterminer l'argument de $z$. +\end{frame} + +\begin{frame}{Fin} + \begin{center} + On retourne son papier. + \end{center} +\end{frame} + + +\end{document}