From 9bd374cb93bf5a8ebda03a81c554736cda284e7f Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Mon, 14 Nov 2022 16:12:19 +0100 Subject: [PATCH] Feat: ajoute la partie math pour DS commun EnsSci --- .../2211_devoir_commun/aleurode_math.docx | Bin 0 -> 10903 bytes .../2211_devoir_commun/aleurode_math.md | 23 ++++++++++++++++++ .../2211_devoir_commun/pop_aleurode.ods | Bin 0 -> 11403 bytes 3 files changed, 23 insertions(+) create mode 100644 Enseignement_Scientifique/Evaluations/2211_devoir_commun/aleurode_math.docx create mode 100644 Enseignement_Scientifique/Evaluations/2211_devoir_commun/aleurode_math.md create mode 100644 Enseignement_Scientifique/Evaluations/2211_devoir_commun/pop_aleurode.ods diff --git a/Enseignement_Scientifique/Evaluations/2211_devoir_commun/aleurode_math.docx b/Enseignement_Scientifique/Evaluations/2211_devoir_commun/aleurode_math.docx new file mode 100644 index 0000000000000000000000000000000000000000..752fcd07e9c4f4ec24d8791b04c603f2a356786c GIT binary patch literal 10903 zcmZ{K1yG#ZvNi7R?he5%xVsbF-5K27T@!+PaCZ{i-QC??f(3Y-^Ul3F;s4)M?Qd#k zYIW`1yQgJ!D@cQap#gzFK>=wA*sA0`jjsWKfq=*%fq+nffPl1w0k%#iwoZDV-0e&p zb?Dt}tm{<HFE0rV;H%1j@EVf5z>ea|;BP&;-;$W0J94 zWAK~ySXa-R)PWOzW}{A{K*jKnXICzeSnNL{Z!?R0uy(dXBC%v6Ho+CS>u`_5ogg8b z^Usm8ZN-of*R!MCDWvjSm!oji)(q5V>`M(CHIt8vEa^FLm#@^)2&g@%J}v#GM3GMW z1x>m|}H12NKsNz<1!UavBIWKQR)X{g(AgY*=eY$K>Bm1cH zNkvzBx9jyZUtonl?x)c;|9t=LUZy~RfMDO=^&CvB9U18VdX^{1%7HS$iB+PwuV13U z2o+gy6e+nveF0SuH>1dXP}~w~<^?9sE`rl>!rs5WPTYNPIBz^kakOVLPiFr>g+QT+ z=>Z>`HoF6n6!`!OkhIK&qeoZK5}ITT%h&2Lg!uU>HJNiJi{4aTDXY0(WG~#KFS4Pv z?^hyls7!qW&ef8fpp7nSR#%M9KHR!!?KR%cK$u>*RKZHExm);R?lT<+IxI}=@yJ+l zx96t*qMTC2vj*N*Kw*ia-Y_`zH^pzm(_dcJ_&hLb$bu+L2{1k6qi}RG93@TF$R2&8 z_?Y$N-0adLIsVi~A?S4jEI1I5Di#nB@|!+f0S?9t#sDK{n>VBV%UV}8mK~Pa->enR zjB9#Koq~F~CO`Z{GO@veGNnY;!#x;SLI?zjivH8Dx%C4r!n_wD!UxLd1bP7_OsxnT z*@Wa1xTU?B6iTen?>oKh2pc^Q#VLM&UM3wct_^y%tWTHSmtSG~AqX%iV z`}LH;_Jr5KA=M$s(_S}-G`p0~d3xla*Vtk>~8;2_w;0X%3ksO>j_Jl4a|Cjq?815Gb4p?7BmUf z4;zE87jPPYxcl?*_A31~sv)G?flXMM00m6Zv`5H_BV{)YUpvJJ)$%e$Jc#x}8?#Ik zY2GxI#_9Wh5Q9%2(hFNOMc7J3i-Qnv#L!aP^d)Fdt@`>a$m9Iz=@bRS48}IPP`dGR zFZ??afRq_ekT>yR2vpVxY{5_IMXpQOLSo_7T3{S-Rv3Tc-u#e;7pQWjY4T~SfsNva zj1brl!aep;WlReF2*Ob=k;Hiq7B`f82)&JqAMEjyjsBqK_E@vjMRaadv$XQ~C1aD- zOKuY$#p*c*qE)r`^!cz)Qw^3yI>$d|q>leI%4}HWluU`ge~+vFT;$sc%$EwWK2&ml z@d}OS)Vk*Y*%kcU-QX=3So|sUgr{J$7P!RKqNy)t=cGND$^2xoyNiLhGl-e(p&@sO z^6gpt#(L15E5Z)*7BMw18=W2})g>?93NKuOt!varrW}wO-+3xl!>HH&i#;J_8kJw6 zF?wJ*3815>vSdnv{VmaAmT*JWs5aoz)l)=KVhEOFbF;{c>}FIIGz74{E0KABDp1H& z=Kyt+ltkoec0f8-+mr;~b_tqbDI^V%pnT9rL@LKnPzNi*3QqJb6P}~_qHe|ntpd{Z zZ7Uv`lfT3{_(0?qkt6RUdJ+9pt?g2>GxC zX0RZ^*>(LQ{qY3oZ)`UL-Vmd(=RyWJJ>bXEBb^CR*`>FH!j#xs;Jf67KZcrHv0ZNz zQM+-X%9HiF;}3~=x=p?OssaqM3rv=P>qpu~9-Q=jLFTRYbRdx|RRsXbU8MbB9r?4| zNWL-p1Og&L_Qp-{LD195Gqe205Ro{KSZr*Y1Q7YXY@<6d$9BjkCZM=B_g}8Zi3|E@ zwCn5!buyUM@V?4!t>BwNQYDWRVF^x}#=sK5LopQ)Lw(%5c<`sT`^7{>)WHNXKhN-D z17~W2hq0mpYwYf6G))8tT-6ggAVZbM06)(n(H=)DbdL(20?M9h0x`hyQ8w%R_*UKw zZXm*-wwPmJ@tdlxYHRJqs_tO{Sy^7x#HyReuwz`ULMVCmWVrrD%tR(z|jby8OC6*>JG@lVg`T;630_7>@D!GM79 z{^L3SH=O+2fBqd>>StEvx{1&_F4c(l*QVq$BC(f8Ym6H;3H_#~W7V_$S)2h3-!-_l zgE_R>UmYF;<0={nJ@f$wUVvynl41WG#fCFk+Kq23>t*^sH261(s9QFF_}tLZG3g43 zv+_Bdsf21ij>MP?S(HsDbmdt+P|cQF$1_}c4X%1YXpbB3TJ*fi)X7fMu4p*Vm>Xl5`OJ1N#Robp3 zQbw{>C=20pd$;HX@~8HK7NbaQ-n8cRw($Sdo+$v}WD9UIar`U%{H;FOC_w}eVmQ%C zq3^B{^ifRRBen?oH$d>JLOe$=o$j(Tfm1-il@hpd*XoiU@rQvvB71B&znr{JlESJZIy}eao*0?93hci@h@yJAklCFH8yu>!rWAiRz9_ zh0=wq{VNNwYa_>Ub6IZ!4eG5-VAT3J2)K9cHUDvXkBM1oYJC-rBdrIr%(6$}~% zmH5dL=8S;ujyqB+sKo3^vSBIOgu{MKH%b7aJB%qy`-cSdVObYpHy9r_K}2=~MaR*X z3HaSeU-DC!B`QGf59YQ_ivAH&aPC&k71&iaI;*i_J~W1dW4?X-uJ&5`fkSCEUB1%2 zPUG(R9%UrR5CFFxYO^IK66JY|of^DWeXPE@8)Hy4yapqWh93!T%>{_Dq@i#~C?zcE zdWba_4>m%%ivTOn;!NWb@FnDG+mDDJQ7PGb=wEhZcxs7UE zIf5=zou0{3o3}Da)0NmZZmhu1EXdDnz|Y)7m}0@ttjN!7&(A#gI^@OI+R53veWQDN z6S931GwoSF9oc_~Uw9`~fJyL--{cMYr`51DxA}aA0s>-C00Kh%kJUIjxm*9QQJ-pS zxh@xB`0%$2NuT5EZQUo#Iwft-lxh@C8(TJdi=i~6NC*WgOr`7j0<9v6)fiKk*Cy?o zz@)*iuRR6AhuuGC@$=5R1(1m>w6jC{-pGPJvb)5!x3agFe?2eQ%OYIk*9*Ss4bJJ* zeA+~BW_SGzq1LKvex424#cv1XO|h)M1w0gCyxg4zU$gn4ffVtvj^pI6pBF?&U{PWd z0X!$==BIXHqnS*)pFVB~ao}FFy)S`4+ruV*NGB54LR&B{QZwrgTW$OiK?3_N z0`|ICK)BFk`ohGd5RsA0azwGpC!go3>`@C8`;t{gIQP8p9zHwsU^_bEH9bU~iXW6w zS-IH!OdM+e8t}or7slfN)dBBd-+BFv0ICaY60>-0ofz_ELGV=z3SV(u+7D`~znqhg zoxdrjsMY90`vtO&uBaXe1UV3xH8hlq>7Fp58)LNKQp;D#*Jvin?c0P37JDu)_6>L! z-MI_Oa$YhuM#E^YPq2*K=g$u6^jCzt1a6R#_(Tr4;gDPya0Okh7{-oR6ur9s;B4tc z%^fj95xj!XY%tOyLXU9|ITcnxslem)+m{%zEM~qJ^&O-$OCkCd4P!=|F z^Lm!wC1S)>8jtK-Z2%h4p)%UNcv`NTvqr>LO|0aqZc@TyB9m6{RPF%??vLaP{VO?) zmX4|T(Q?!%jM-9ry9FSQuNr*cv2?}?ueUhe=|6|ne}zV$iuay6xITx@KS$rYz@o`Yrccy-D;UMlBnRMW4 zYW}e507pBud{Ly4gk-gl9Nw)r*i&Tp>lq(S#TL#94L_ZF=of3b1lTk?TC2ItWF(6y zdIZ8ano0$=N<_?(g40ZLZr)$t>9&AJw8@+g1GIXIA2xPgy%SV{i8%|eZ? 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On a étudié l'évolution d'une population d'aleurode que l'on a retranscrit dans le tableau ci-dessous. + + | Mois | Population | + |--------------- | --------------- | + | Mai | 10 | + | Juin | 881 | + | Juillet | 71 089 | + | Août | 5 667 201 | + + + 1. Calculer la différence de population entre les mois. + 1. Calculer le quotient de population entre les mois. + 4. Au regard des données et des résultats de vos calculs, décrire la type d'évolution que semble avoir la population d'aleurode. + +2. On suppose que la population d'aleurode est multipliée par 90 tous les mois. On suppose que cette population commencer à se développer au début du mois de mai avec une population de 50 individus. + 1. Calculer la population au début du mois de juin, juillet, aout et septembre. + 2. Que peut-on penser d'un tel modèle ? Quelle loi risque d'empêcher cette progression ? Que risque-t-il de se passer ? + +3. Pour limiter le développement de la population d'aleurode, on propose d'utiliser des pesticides. + 1. Quel sera le taux de mortalité si l'on utilise du pesticide chlorpyriphos à une concentration de 10mg/L ? + 2. On garde les hypothèses sur l'évolution de la population de la question précédente (multiplication par 90 et population initial de 50) et on applique du pesticide chlorpyriphos pour avoir un taux de mortalité de 80%. Proposer un nouveau modèle d'évolution de la population et calculer la population d'aleurode au début du mois de septembre. diff --git a/Enseignement_Scientifique/Evaluations/2211_devoir_commun/pop_aleurode.ods b/Enseignement_Scientifique/Evaluations/2211_devoir_commun/pop_aleurode.ods new file mode 100644 index 0000000000000000000000000000000000000000..69ca9b06ebaec4de749e3e06f39a4f3b7049bfe7 GIT binary patch literal 11403 zcmeHtWmp_rv+iJl-~p?#{sAgG+!A9D+LpcL*K` za^XAA{<8OXcJ@8@{ysI+PgnQT^{%yQbyxSQdX;36kO=?)Gyot=!cHx~Mj(U@007)? zcc%chmbM^>y93C`!NJDT#0X+(Z^!OpXUb-81hxdT**k#jOzlmaZ9#SrHn4*e$jB6I z0Rlmk{(^Z2^KW@_r@gYbGqW^zcKR0@n2X)W!~|pmx;wOYV*kA*#ot(3+8UXI!0h6d z5L+V$@IM%n{*5uj-rmN+$PQ%l4|adoT?Z$7b0-iOY;5#T-Tk{3!4M;e^Z&(;_%}WM z=hptt%FM>z2m<GNatjDMdo( z1&cB((T!?UnuBU6qu;#(jDp&+(~~s4tq?CJ zf2JIUs3Zr@nj!a?^2NY_==c_$jK&(is5hH`7>A+wE!i-NNmi$$elBZqFpcqx_u^}B zQp?e0nh4c7JusDRGvG$HD1 z%0Z4d#F9j@AHD^6MvIFW%!b8*g0Hv4$F<8oJBIcg7*ltsHdlI|wi2!HHU(e&l>f#E zO@O>Eb6z9oMhYh*UW$4;CY?${MMc$f=J>KIbzKWcARQf>&BE*@sq82vCM}z6XPGLs zMb{T1-!iZ6mL;$H4ufCUt6ONrb6o6P;6nc<`L&mzPnofA60%M#&MrxM-40TvorO`F z;kzz9a2zhzJR|>mKf0)Qam?}knW8rc>qO6`-1g`E{ES#_w>=$szIVJ1sZ}PTRrUb0 z16>7#iBdY~FcxsJ&2zeZo`>4+3sSi!4(_y`6@PF1**19-a7l4LqaTe3@8*H62ee0<%rC;~1hK zsV9>M-|6})X}A?u>R+fF&b4%am$Fj(c7kH$_k*M2G&F`!SinS-2u5X^Vg?W9Y~BhO(W3 zh`yBQb*T)Ft5vH&^=W#{ssv{Hhw2z&hA8mmLkZoLf;ZSC;wwb=wUP&8pY=qEABxbX zXy`8+<@M?ZZ*_J`8W*PXuB^S?wnTiwS&xdEyAiMXRXd=;zJ4}hLpLsKB)OJV=NX*z z`=>cpP4yv|`3#oa1CPr_#WRI^yc z!kAds)u(EOFZ`tNyV2N{RL{<<0`NrqZpJ-j=X_(pPE~QYb8I?JS0c7PNrlfv&=0zCb3)aix75cR1FNHLF%O z|GMR(dirvSN4tIP&l+bj(5g{gyWknwjXpA#vt%PN>4-rs9fn7HV^j4&-)VVT;_P*+ zd=B>LXOWN9T;7F%`YWP{1| zh^)`anAEil=XkAELL^v|Z@5^l=wDv?a6c2a+%B%){oEKB6w+-fw&Fn3EHhA`!&^03 zYPFk8KFCD8i8sq;kH)I*09I%$8hQC$igG#*;=KjiZ%{6=`v zDMZAa6`J?VlLuurFdyy|y`{w`;)wz0k4|mFJKYu@zYSE}Q}0MhQFKGLd#*8lK3!y_ zgza0qqMTUB_|(q8|AcP#$!oVX5kx`HJ>QqE&VBR)5u{RY@J$lk7UfM*HTif(51hVg zA0k9VR;&Jfy6kh4h@cFCLMqJ(07Ifim|C`lyd=9gxi3Az^ zo7aAvb+;;`=ePS)-2iKnh*X358uHj@`*cU|2?W|V-Ytz^c+KrzVrFD;@RJ`LdyQ>e z6nPK!)6YdmN<~R0Z<%v%WWC5k&^`1>I zL1zX14+{dCK+_d#IQ{^Rvp~2<;@RTimVNKHlQ7xzcTeyu8fJ-l(f32=A9L8T24Nsw z&0tme3|Bb`VQM_S4jE>lRt5w_>y{m`p?5VmdUSmpF{sZU@a#1uj`nx*hzpq%!F64t z@#LI(;4TJ@PoO~1fwR}xwl?<48n%~p3Uyh=e>>qAkt2VW zU4`X9A0d64p}=yBbpQ4-4DacadH?`;Q2o>Q1jgOl$Hd+aa{uXm_xhRFnvIy{!}UJU zAV&Wh1b9U2PHxb!kSQ4z^h~E(9-V;U=tXFp-1|o;F_o^jW(LP(TanIh^jJJ;gQn$c z6TBTL2a}Rsr7uNEuo*0@dR6AAa4MHHGoUp;WPS8fGaA;sxX^s|c%iS@o=q~j@_p%t zH_%j~8AXY#rNxJCkFC^Xpx-d8$#P>lWehvVpq~WPnA1umq(diMofpkP#}g~TDyq$A zHQEWx@6UdEmuEZ>H`|;q>z?wGx971MPNI2_leNN;nvIE9QqgJxxh*-Zo8I>NO0CV7 z(5)?0XiS|&ee&}(rM4%2eabvwr0&gTTd3DUF;ao}x)m}-&di)&aQAC!r1kIcsU#8xpO1ZTab{Dx z_D)Q)&L``<2EKrA&=PD1X3))N3^XLjsZL7|XdN0geGh}bO zAJ?)rsIB9$s6+9?YeFl-l&Huv_?^Mr+Gon^3sRkD7~9O7$$f@d^Jl@21Zem7RY%T0 z=81NI18GNu9M7rAh{XD0`+>82j=|b?rPtc8|Ji}U-2F6%v63@+QFON zywg6`Xm#-5^kKFVe^fhpo1&w*w>W-jDVw$N{P)}&KH-T4W=7(qrp|!mrfebIZ>MVm=hg zPH@!D5;i<2J8HKU`RVWTFi$qm3@EQsG4m!w><1aTEjnWInC<5WE#{x+)RrmJS!3po z4u(lK=(_5pE5xWCP|gc*(%;-|GXJqQYd5}9^_u@ zFK~jxbp6PD%w8rvzi#=`RHgahIBOh-nv>V;cgyS~X53U;A2u|J<&nvhpTHfWNr>RB z=vszcf&ij?GCKoHz2Q<5ENB3F1*vngL3`lclksjaq@vK}w!qr2S}>gRqpy z_Uw^LG>&*-#2fhwJHt0jDGK1#X~-r*q3wx0SrNQw{CWEeq7${1PMqM$>bIm&LrK{X z-hdsot0Gq4!8rD-dx;I%|kdl3wxP3UVL+7NJfc+5#!S_9VVess2%6Y*6?5!RH^;Kd5|e zy(-YM-L~2KjPXz&98hAtpb$S2qd`n{*r+Yb!B+iBg{j{^4@!JZ#Zdc!{TV&u`fx#` zL&cR?-(hoMO9;{9gN&hsHer`ZGUvtGq9`I^M z-2{}Ki;FdwX6IO2{B*t)6V>oVxR2vcDW_B-Q2+q0yIjKW*M;}XYA^@_v9vS)*E(WP zOBp=#9M`ASAo@_~-Fsa+qep`879> z5`Aa8H9PKcK3Z@(9^_0Jp`OX}+I=teNo^{1)YD5{w$ikqtxU%yugx2mfMbF4%$1zS zD3tQA{5g3fD25?LLQi`I3LZwskeep&M3^FMMjQ$f`_0MkG(DM@4hOkT`1KW7n_J3F zS@Nws7mb+hDkK_+?d$6^yM*u);ANoFO(mIceH&HZDM`{3i&QA<6|B(%ZBL!uhJLM1 z+h@aWTyrg}vF`C9oqG}WdELTOh|^^+sxOT&=!bxn!a~y|_-Xw*H-ZR?O-NRirv)FC z$m+=R`3bdS)@~ex#kRSrmp3Ut&5}^Pr>!!cgoz@zXs&zscwGLJ)cPUysr^BMXi3{5 zKZ@gxkj#csOQAeT5Y^KQPkpN#282|*804qIjs^OO{ICir*-fq3}Cyc#EqdY zPsmaTjgj#@@F#uOO8G!lyvG-W`c{++Z!gEp)KQuDfenJRvoHR2)3dt9&p&WF&x1_@ z8Qw}4SObv>Ltl9i$bBy;=R2=18$kKuT5h&epu zMZa5;a8?T;-i*vM<;>oBQ^ld#+{8g^HyDv0mua$aB%(l@8(Kd-m40h90+jO6ZeWqF zay@K31es&xJUXiiqb|iTP`t4`(x3xfN>Kg>l{(yBx>)^WZX_VQy_l0_R!^Ig9|&7!xMH&KyYS4=%kI(eb_!I?N@ z!2f}BA7&MRf@GI_2~RRboU0If(SWN{Sf*F>K^9`#s@Gn~o(Tt1Yk@#)F0Z@AgIpoj zUDKi@Q*y+KGc0fXp8ywywgZOAMJmm6E_pp`>x#nW1xd1KJlBVYo5W@a-ULxDxuc(+ z5ICOhxdBbsjdJa4!}SuF=3*XQV#LYyc|4IGl3*0m;XGk`cGS#gzJq=g(N_@kwcvUg z{}M%Rp%g8=KSK#lg%^Y}G}=r$X5P?k@4+K$5~hV_mC2E56MQ!7%X^uOF~pOaG4Ieb zmLJyFO5;oNBSZP9(FSD{M9@#OLR4*zc$?^*-k9M1ZboW<%6dR^pMKhAV9E{-x=Q;# zN$}?DMDBH{XbwoGDq~?Ly{g1pHHWn*aj|uDOtfT8-woHc0=H?a`7gtqPH8wVObadQB zlF`x8xw*NuwY9CSt&@|Jo12@vc5ZKPJ!m%z0RWsFX^EFWx0$`vAmf~-M*#@K^6dFV zO}9D=(Z~_8&o5$$T{`B$Pi7s-zGR?MVT(tskZ1Y|74AG=cou+ruHkunS%07#ka~S_ z%-W*~DNU#~!d z`)f{7l%iR$7}|Gu{{jjv)Cxj&eY^WnFye-cn(TO^zBl@!g@R{W^sB7!Qp9Wr2*{O6 z(Y)oK$@wmBDHpu}STQ+_F>AcQzSC-)to;$?SnGLV?Mu5PSmZ!BaSO1xv_UZI=FQfs z*v1d+Pvay7Mb61MEn)n&TN(-MWhH`}!UPJSr(FRt>5Sut^+c3rlOVR#ofIzbI1)nL zA9>o&Y83AYl%L`nDBdf2UVG7U0OJtPk~*5j0)+Q z+g1RrH`CZAQ6tGpa!JM1%$;&VX)U6EsbQ2^=V7le+GG)^7{Y>Q6^HX}zWn0p%Nt;0mbLH_v)x{px<0G{x{TeLPP}J7? 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