compo3_1L2013

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\AR{\large\textostora{السنة الدراسية:{\Large\bf 2102 ــ  3102}}
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ثانوية هـــواري بومدين  
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\AR{\large\textthol
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{حاسي خليفة ـ ولاية الوادي}}
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{\hrulefill\;\;\AR{\textkhalid{\LARGE[ الاختبار الأخير في مادة الرياضيات ]}}\;\;\hrulefill}
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\AR{\textmateen{\Large التمرين الأول:\textnice{ أجب بصحيح أو خطأ مع التعليل:}}}
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%{\Large\bf altmryn al'awl:} 'jb b.s.hy.h 'aw x.ta' m` alt`lyl:\\
\begin{description}
\item[$/1$]ltkn $\u=2\vec{i}-3\vec{j},\quad\v=-\sqrt{2}\,\vec{j},\quad \overrightarrow{OA}=-5\vec{i}+\vec{j}$
_tlaa_t 'a^s`T lilmstwy. 
\\
$\blacktriangleleft$'i.hdaa_tyA al^s`A`$\u$hy$\begin{pmatrix}
2 \\ 
-3
\end{pmatrix} $
$\dotfill{}$\\
$\blacktriangleleft$'i.hdaa_tyA al^s`A`$\v$hy$\begin{pmatrix}
-\sqrt{2} \\ 
0
\end{pmatrix} $
$\dotfill{}$\\
$\blacktriangleleft$'i.hdaa_tyA aln.q.tT$A$ hy $(-5;-1)$
$\dotfill{}$\\ 
\item[$/2$] $\u\;,\v$ ^s`A`An lilmstwy .hy_t:$\u\begin{pmatrix}
-2 \\ 
3
\end{pmatrix} ,\quad\v\begin{pmatrix}
4 \\ 
-6
\end{pmatrix} $\\
$\blacktriangleleft$al^s`A` $2\u+\v$ hw al^s`A` alm`dwm$\dotfill{}$\\ 
$\blacktriangleleft$al^s`A` $-\dfrac{1}{2}\v$ ysAwy al^s`A`$ \u$ $\dotfill{}$\\ 
$\blacktriangleleft$al^s`A`An$\u,\;\v$ lysaa mtwaazyaan.
$\dotfill{}$\\ 
\item[$/3$] $A(-2;1),\quad B(3;6),\quad C(4;-1),\quad D(-1,-6)$ nq.t mn almstwy almnswb 'ilY m`lm$(O;\vec{i},\vec{j})$\\
$\blacktriangleleft$al^s`A`An$\overrightarrow{AB}$w$\overrightarrow{DC}$ mtsaawyaan$\dotfill{}$\\
$\blacktriangleleft$al^s`A`An$\overrightarrow{AB}$w$\overrightarrow{DC}$ lysaa mtwaazyaan$\dotfill{}$\\


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\AR{\textmateen{\Large التمرين الثاني:\textnice{ المستوي منسوب الى معلم متعامد ومتجانس$(O;\vec{i},\vec{j})$:}}}
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ltkn alnq.t $A(-2;1),\;B(1;5),\;C(4;1)$.\\
$[1]$ `lm h_dh alnq.t.\\
$[2]$ 'a.hsb mrkbaat al'a^s`T:$\overrightarrow{AB},\;\overrightarrow{BC},\;\overrightarrow{AC}$, _tm byn 'an al^s`A`An $\overrightarrow{AB}$w$\overrightarrow{AC}$ lysA mtwaazyAn.\\
$[3]$ 'a.hsb almsaafaat:$AB,\;BC$ _tmm astantj 'an alm_tl_t$ABC$ mtsaawy alsaaqyn.\\
$[4]$ 'a.hsb 'a.hdaa_tyaa$M$ mnt.sf $[AC]$ _tmm `lmhaa.\\
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$\ldots$\AR{\textgranada{\largeاقلب الصفحة}}$\hrulefill$\\


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