SNT

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p2-corr.svg (67603B)


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    372              id="tspan4566">Prenons une carte avec plusieurs types de routes, où on peut rouler à différentes</tspan><tspan
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    379    id="tspan4597">100km/h</tspan> sur les routes                et <tspan
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    381    id="tspan4599">50 km/h</tspan> sur les routes                 )</tspan><tspan
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    390              style="font-size:4.23333px;text-align:start;text-anchor:start;stroke-width:0.264583"
    391              id="tspan4601">Dessinez le graphe du réseau routier suivant en comme poids à chaque arête le</tspan><tspan
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    396              id="tspan4603">temps qu'il faut pour parcourir la route (en minutes) : </tspan><tspan
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    638          style="font-size:4.23333px;text-align:start;text-anchor:start;stroke-width:0.264583"
    639          id="tspan937">Pour représenter les routes à sens unique, on utilise un graphe orienté, c'est à dire</tspan><tspan
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    643          style="font-size:4.23333px;text-align:start;text-anchor:start;stroke-width:0.264583"
    644          id="tspan2035">que ses arêtes ont un sens : elles sont représentées par des flèches :</tspan><tspan
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    647          y="41.815327"
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    653        x="56.012772"
    654        y="76.611427"
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    668          x="22.315556"
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    671          sodipodi:role="line">3. Sens uniques : graphes orientés</tspan></text>
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    681          id="tspan1665"
    682          sodipodi:role="line">De D à G :</tspan><tspan
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    684          y="129.12779"
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    705          id="tspan3713">En considérant que chaque arête a le poids 1, et qu'on ne peut faire de chemin</tspan><tspan
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    708          y="110.60699"
    709          style="font-size:4.23333px;text-align:start;text-anchor:start;stroke-width:0.264583"
    710          id="tspan3721">qu'en suivant le sens des flèches, quel est le plus court chemin :</tspan><tspan
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    726          sodipodi:role="line">De G à D :</tspan><tspan
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    728          y="123.83614"
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    749          sodipodi:role="line">De A à B :</tspan><tspan
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    751          y="134.41946"
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    771          id="tspan3739"
    772          sodipodi:role="line">De B à A :</tspan><tspan
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    774          y="139.71114"
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   1080          id="tspan4765">Donnez le chemin le plus court (en temps) : </tspan><tspan
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   1096          sodipodi:role="line">Entre A à E :</tspan><tspan
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   1322     <text
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   1341          x="136.90828"
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   1344     <text
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   1347        x="162.45599"
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   1350          sodipodi:role="line"
   1351          id="tspan5014"
   1352          x="162.45599"
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   1354          style="stroke-width:0.264583">60</tspan></text>
   1355     <text
   1356        xml:space="preserve"
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   1362          id="tspan5018"
   1363          x="114.27238"
   1364          y="278.71799"
   1365          style="stroke-width:0.264583">A→D→E (1h30)</tspan></text>
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   1367        xml:space="preserve"
   1368        style="font-size:5.64444px;line-height:1.25;font-family:'Noto Sans';-inkscape-font-specification:'Noto Sans';text-align:center;letter-spacing:0px;word-spacing:0px;text-anchor:middle;stroke-width:0.264583"
   1369        x="114.27238"
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   1373          id="tspan5022"
   1374          x="114.27238"
   1375          y="284.00964"
   1376          style="stroke-width:0.264583">B→E→D (1h30)</tspan></text>
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   1378        xml:space="preserve"
   1379        style="font-size:5.64444px;line-height:1.25;font-family:'Noto Sans';-inkscape-font-specification:'Noto Sans';text-align:start;letter-spacing:0px;word-spacing:0px;text-anchor:start;stroke-width:0.264583"
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   1398          style="font-size:4.58611px;text-align:start;text-anchor:start;stroke-width:0.264583">A→B (1)</tspan></text>
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   1408          y="134.41917"
   1409          style="font-size:4.58611px;text-align:start;text-anchor:start;stroke-width:0.264583">B→G→G→H→D→A (5)</tspan></text>
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   1411        xml:space="preserve"
   1412        style="font-size:5.64444px;line-height:1.25;font-family:'Noto Sans';-inkscape-font-specification:'Noto Sans';text-align:start;letter-spacing:0px;word-spacing:0px;text-anchor:start;stroke-width:0.264583"
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   1420          style="font-size:4.58611px;text-align:start;text-anchor:start;stroke-width:0.264583">F→B→G→G→H→D→A (5)</tspan></text>
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   1423        style="font-size:4.58611px;line-height:1.25;font-family:'Noto Sans';-inkscape-font-specification:'Noto Sans';text-align:center;letter-spacing:0px;word-spacing:0px;text-anchor:middle;stroke-width:0.264583"
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   1431          style="font-size:4.58611px;stroke-width:0.264583">Impossible (∞)</tspan></text>
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