Terminale Spécialité

Frédéric Junier, Nov 24, 2020

Mes activités de terminale spécialité mathématiques

Table of Contents

  1. Dérivation et convexité
    1. Dérivation et convexité
  2. Vecteurs de l'espace
    1. Vecteurs de l'espace
  3. Combinatoire
    1. Listes en Python et combinatoire (Terminale Spécialité)

1.

Dérivation et convexité

  • 1. Dérivation et convexité

1.1.

Dérivation et convexité

Question 1
Soit [math]f[/math] la fonction définie et dérivable sur R telle que [math]f(x)=e^{3x^2-2x+1}[/math].[br]L'expression de la dérivée [math]f'[/math] de [math]f[/math] est
Question 2
Soit f la fonction définie et dérivable sur[math]]-0,5;+\infty[[/math] telle que [math]f(x)=\sqrt{(1+2x)^3}[/math][br]L'expression de la dérivée [math]f'[/math] de [math]f[/math] est
Question 3
Soit [math]f[/math] la fonction définie et dérivable sur R telle que [math]f(x)=(4x-1)^{18}[/math].[br]L'expression de la dérivée de f est
Question 4
La fonction définie sur R par[math]f(x)=x^2[/math] est
Question 5
La fonction définie sur R par [math]f(x)=-e^{-x}[/math] est
Question 6
La fonction définie sur R par [math]f(x)=e^{-x}[/math] est
Question 7
Soit [math]f[/math] la fonction définie et dérivable sur R telle que [math]f(x)=2xe^{-x}[/math][br]La dérivée seconde de [math]f[/math] a pour expression
Question 8
Soit [math]f[/math] la fonction définie et dérivable sur R telle que [math]f(x)=2xe^{-x}[/math][br]La fonction [math]f[/math] est
– Frédéric Junier

2.

Vecteurs de l'espace

  • 1. Vecteurs de l'espace

2.1.

Vecteurs de l'espace

Repérage dans l'espace : modifier les coordonnées pour déplacer le point M
Introduction à la représentation paramétrique de droite dans l'espace (1/2) : modifier le paramètre t pour déplacer le point
Introduction à la représentation paramétrique de droite dans l'espace (1/2) : déplacer le paramètre lambda
Question 1
Soit (d) la droite de représentation paramétrique :[br]x = -3 + 4t [br]y = 5t avec t réel[br]z = 2t - 1
Question 2
Soit A(1;2;1) B(1;1;1) et C(3;-1;3) trois points de l'espace. La parallèle à (BC) passant par A a pour représentation paramétrique
Dans un repère de l'espace, on considère les points A(1;-2;2) B(5;-1;1) C(0;3;-2) et D(-2;2;-5).
Question 3
Les coordonnées du vecteur [math]\vec{AB}[/math] sont
Question 4
Les coordonnées du vecteur [math]\vec{AC}[/math]sont
Les points A, B et C sont
Question 5
Les droites (AB) et (CD) sont
Question 6
La droite (AB) est parallèle au plan (CDE) si
Question 7
Dans l'espace deux vecteurs sont
Question 8
Si dans une famille de trois vecteurs, deux d'entre eux sont colinéaire deux à deux, alors
Question 9
Trois points de l'espace
Question 10
Dans une base de l'espace, les vecteurs [math]\vec{u}[/math](1;2;-3) [math]\vec{v}[/math](4;5;1) et [math]\vec{w}[/math](-1;4;-23) sont
– Stéphane Perret, Frédéric Junier

3.

Combinatoire

  • 1. Listes en Python et combinatoire (Terminale Spécialité)

3.1.

Listes en Python et combinatoire (Terminale Spécialité)

TerminaleSpecialite-Combinatoire-Cours2020-Prof-V1
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pour accéder aux corrigés des exemples algorithmiques du cours dans un notebook avec l'interpréteur en ligne [url=https://basthon.fr/doc.html]Basthon[/url] respectueux des données personnelles (URL trop longue pour intégration directe).[/size][/size]
Corrigés des exemples algorithmiques en version pdf
Exemples de manipulations de listes du cours, cliquez sur l'oeil pour afficher seulement l'éditeur
Q1
Soit la liste Python L = [2, 8, 1, 5][br][br]La valeur de L[1] est :
Q2
Soit la liste Python L = [2, 8, 1, 5][br][br]La valeur de L[len(L)] est :
Q3
Déterminer la valeur de la liste L après l'exécution du programme Python ci-dessous[br]L = [2, 8, 1, 5][br]L[0] = L[1][br]L[1] = L[0][br]L[len(L)-2] = 7
Q4
Quel est l'affichage obtenu par l'exécution du programme ci-dessous ?[br]L = [841, 842, 843][br]for k in range(len(L)):[br] print(k)
Q5
Quel est l'affichage obtenu par l'exécution du programme ci-dessous ?[br]L = [841, 842, 843][br]for k in range(len(L)):[br] print(L[k])
Exemples du cours sur les listes en compréhension
Q 7
Déterminer la valeur de la liste définie en compréhension par L = [k ** 3 for k in range(0, 4)]
Q 8
Déterminer la valeur de la liste définie en compréhension par L = [k ** 2 for k in range(-3, 3) if k ** 2 > 1]
– Frédéric Junier

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