Merge branch 'master' of ssh://git_opytex/lafrite/2018-2019
This commit is contained in:
commit
41f58f1a81
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@ -15,14 +15,14 @@
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"\n",
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"Nous allons tracer la représentation graphique de \n",
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"\n",
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"$$ f : x \\mapsto \\frac{x^2}{10} - 5 $$\n",
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"$$ f : x \\mapsto x^2 - 10x + 20 $$\n",
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"\n",
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"**Recopier** le programme suivant, **compléter** les pointillés et calculer les images jusqu'à 8."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"execution_count": 1,
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"metadata": {},
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"outputs": [
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{
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@ -36,7 +36,7 @@
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],
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"source": [
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"def f(x):\n",
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" return x**2/10 - 5\n",
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" return x**2 - 10*x + 20\n",
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"\n",
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"# image de 0\n",
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"print(\"L'image de\", \"...\",\" est\", \"...\")\n",
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@ -57,7 +57,7 @@
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"execution_count": 2,
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"metadata": {},
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"outputs": [
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{
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@ -81,7 +81,7 @@
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"print(\"L'image de\", \"...\",\" est\", \"...\", \"On l'ajoute à la liste\")\n",
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"antecedents.append(0) # On ajoute (append) 0 à la liste des antecedents\n",
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"# image de 1\n",
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"print(\"L'image de\", \"...\",\" est\", \"...\", \"On l'ajoute à la liste\")"
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"print(\"L'image de\", \"...\",\" est\", \"...\")"
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]
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},
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{
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@ -125,12 +125,12 @@
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"source": [
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"Vous avez tracer la courbe représentative de de la fonction $f$.\n",
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"\n",
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"\n",
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"\n",
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"\n",
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"Dans un nouveau fichier, **tracer** la courbe représentative pour x allant de 0 à 50 de la fonction $g$ tel que\n",
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"$$ g : x \\mapsto x^2 - 4$$\n",
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"Dans un nouveau fichier, **tracer** la courbe représentative pour x allant de 0 à 15 de la fonction $g$ tel que\n",
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"$$ g : x \\mapsto -(x - 5)^2 + 5$$\n",
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"\n",
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""
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""
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]
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},
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{
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@ -139,7 +139,9 @@
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"source": [
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"## Précision et controle du tracé\n",
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"\n",
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"Pour le moment, on sait donner un maximum à l'antécédent $x$ mais on ne peut pas contrôler le minimum ni le pas (l'écart en 2 valeurs de $x$). Or pour tracer précisément la représentation graphique d'une fonction, nous avons besoin de contrôler la fenêtre (minimum et maximum) et le pas."
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"Pour le moment, on sait donner un maximum à l'antécédent $x$ mais on ne peut pas contrôler le minimum ni le pas (l'écart en 2 valeurs de $x$). \n",
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"\n",
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"Or pour tracer précisément la représentation graphique d'une fonction, nous avons besoin de contrôler la **fenêtre** (minimum et maximum) et le **pas**."
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]
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},
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{
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@ -148,26 +150,93 @@
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"source": [
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"## Boucle `while` (tant que )\n",
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"\n",
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"Ce type de boucle donne plus de contrôle sur $x$ et nous évite d'utiliser `range` qui est une commande qui n'existe que en Python.\n",
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"Une boucle `while` permet de répeter une ou plusieurs actions **tant qu'** une condition est vérifiée.\n",
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"\n",
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"Les 2 programmes ci-dessous font la même chose."
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"execution_count": 3,
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"metadata": {
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"collapsed": true
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"0\n",
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"1\n",
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"2\n",
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"3\n",
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"4\n",
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"5\n",
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"6\n",
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"7\n",
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"8\n",
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"9\n"
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]
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}
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],
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"source": [
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"for x in range(10):\n",
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" print(x)"
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"x = 0\n",
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"\n",
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"print(x)\n",
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"x = x+1\n",
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"\n",
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"print(x)\n",
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"x = x+1\n",
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"\n",
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"print(x)\n",
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"x = x+1\n",
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"\n",
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"print(x)\n",
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"x = x+1\n",
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"\n",
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"print(x)\n",
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"x = x+1\n",
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"\n",
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"print(x)\n",
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"x = x+1\n",
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"\n",
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"print(x)\n",
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"x = x+1\n",
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"\n",
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"print(x)\n",
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"x = x+1\n",
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"\n",
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"print(x)\n",
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"x = x+1\n",
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"\n",
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"print(x)\n",
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"x = x+1"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"execution_count": 4,
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"metadata": {
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"collapsed": true
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"0\n",
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"1\n",
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"2\n",
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"3\n",
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"4\n",
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"5\n",
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"6\n",
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"7\n",
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"8\n",
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"9\n"
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]
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}
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],
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"source": [
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"x = 0\n",
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"while x < 10:\n",
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@ -208,9 +277,22 @@
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"images = []\n",
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"antecedants = []\n",
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"\n",
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"for x in range(20):\n",
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" images.append(h(x))\n",
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" antecedants.append(x)\n",
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"# image de 0\n",
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"print(\"L'image de\", \"...\",\" est\", \"...\", \"On les ajoute à la liste\")\n",
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"antecedents.append(0)\n",
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"images.append(h(0))\n",
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"\n",
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"# image de 1\n",
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"print(\"L'image de\", \"...\",\" est\", \"...\", \"On les ajoute à la liste\")\n",
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"antecedents.append(1)\n",
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"images.append(h(1))\n",
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"\n",
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"# ....\n",
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"\n",
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"# image de 20\n",
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"print(\"L'image de\", \"...\",\" est\", \"...\", \"On les ajoute à la liste\")\n",
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"antecedents.append(20)\n",
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"images.append(h(20))\n",
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"\n",
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"print(\"Les images sont \", images)"
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]
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@ -0,0 +1,17 @@
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#!/bin/bash
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set -x ROOT (pwd)
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set -x TEXINPUTS ".:$ROOT/tools/style//::"
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function goroot
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cd $ROOT
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end
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function doublea5
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sh ../Shombos/doublea5.sh
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end
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# activate virtual env
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source venv/bin/activate.fish
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