DEVOIR DE MATHEMATIQUES N°2 DU 2IER SEMESTRE
ACTIVITES NUMERIQUES
Exercice 1 :
1-Calcule :
\begin{align*}
A &= 13,5 + 6,5 \times 10 - 85 \times 0,1 \\
B &= 35 + 5 \times 2^3 - 40 : 10 \\
C &= 48 - 2 \times [12,5 + 3 \times (3,25 \times 2 - 18 : 3)]
\end{align*}
2-Replace les parenthèses : $3 \times 27 - 4 \times 5 = 21$.
3- Complète 2 3 4 8 8 pour qu’il soit divisible par 2, 3 et 5.
4-La division d’un nombre par 13 donne quotient 23 et reste 7.
Calcule le nombre.
5-Donne une écriture fractionnaire de 16,5 ; 34 ; 24,37.
6-a)Calcule $183,28 : 7,4$ au $\frac{1}{100}$ près par défaut.
b)Quotient approché par excès au dixième près ?
Activités Géométriques
Exercice 1 :
1-Quand une droite est-elle axe de symétrie d’une figure ?
2-Complète :
a-Si $E$ est le symétrique de $F$ par rapport à $(D)$, alors $(D)$ est .........................
b-Si $M \in (D)$, alors son symétrique est .........................
c-Si $[AB]$ et $[A'B']$ sont symétriques par rapport à $(D)$, alors .........................
c-Si $MA = MB$, alors $M$ .........................
Exercice 2 :
Trace un cercle $(E)$ de centre $O$ et de diamètre $[EF] = 5$ cm.
Marque $G \in (E)$ tel que $EG = 4$ cm.
1-Comment sont $(EG)$ et $(GF)$ ?
-Place $K \in [GF]$ avec $FK = 2,3$ cm.
-Trace $(D_1) \perp (GF)$ passant par $K$.
Construis $(E')$ symétrique de $(E)$ par rapport à $(D_1)$.
2-Quelle est la position relative de $(EG)$ et $(D_1)$ ? Justifie.
Trace $(D_2) \parallel (FG)$ passant par $E$.
Construis $[E'G']$ symétrique de $[EG]$ par rapport à $(D_1)$.
3-Combien vaut $E'G'$ ? Justifie.
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