Devoir 1 S02 - Equations, Inéquations et vecteurs
📅 April 18, 2024 | 👁️ Views: 223
📄 What you'll find on this page:
• The Exam PDF is embedded below — you can read and scroll through it directly without leaving the page.
• A direct download button is available at the bottom for offline access.
• You'll also discover related exams, courses, and exercises tailored to the same subject and level.
• The complete LaTeX source code is included below for learning or customization.
• Need your own materials professionally formatted? I offer a LaTeX typesetting service — send me your content and get a clean PDF + source file at a symbolic price.
📄 ماذا ستجد في هذه الصفحة:
• ملف الامتحان بصيغة PDF معروض أدناه — يمكنك تصفحه والاطلاع عليه مباشرة دون الحاجة لتحميله.
• يتوفر زر تحميل مباشر في أسفل الصفحة للاحتفاظ بالملف على جهازك.
• ستجد أيضًا مجموعة من الامتحانات والدروس والتمارين المرتبطة بنفس الدرس لتعزيز فهمك.
• تم تضمين الكود الكامل بلغة LaTeX أسفل الصفحة لمن يرغب في التعديل عليه أو التعلم منه واستخدامه.
• هل تحتاج تنسيقًا احترافيًا لموادك الخاصة؟ أقدم خدمة تنضيد LaTeX — أرسل محتواك واحصل على PDF نظيف وملف مصدر بسعر رمزي.
\documentclass[12pt,a4paper]{article}
% Packages for formatting
\usepackage[landscape, margin=1cm]{geometry} % Set landscape layout and margins
\usepackage{lipsum} % Generate placeholder text, you can remove this
\usepackage{multicol} % For multiple columns
\usepackage{amsmath,amsfonts,amssymb}
\usepackage{tabularx,tabulary}
\usepackage{array} % Add the array package for 'm' column type
\usepackage{graphicx}
\usepackage{booktabs}
%\usepackage{draftwatermark}
\usepackage{fontenc}
\usepackage{setspace}
\setstretch{1.75}
%\SetWatermarkText{MOSAID}
%\SetWatermarkLightness{0.95}
%\SetWatermarkScale{0.4}
\begin{document}
\thispagestyle{empty}
\setlength{\columnsep}{1cm} % Adjust the column separation here
\setlength{\columnseprule}{1pt}
\newcolumntype{M}[1]{>{\centering\arraybackslash}m{#1}}
\newenvironment{mycontent}{% beginning mycontent
\noindent
\begin{tabularx}{\linewidth}{|M{0.30\linewidth}|M{0.25\linewidth}|M{0.35\linewidth}|}
\hline
Collège Tariq Ben Ziad 2
&
Devoir Surveillé ~~N 1 S02
&
Année Scolaire 2023-2024
\\ \hline
Prof : MOSAID
&
3APIC-A
&
durée : 1h30min
\\ \hline
\end{tabularx}\\[1cm]
\underline{\textbf{Exercice 1:}} (\(2pts\times6\))\\
Résoudre les équations et inéquations suivantes\\
\(3x-4=0\quad\);
\(\quad x-4=3x+4\quad\);
\(\quad (x-4)(2x-3)=0\quad\);
\(\quad 2x+7\le0\quad\);
\(\quad 4x-17\le2x-3(2-4x)\quad\);
\(\quad 5x-3\le3(2-x)\quad\);\\[1cm]
\underline{\textbf{Exercice 2:}} \((5pts)\)\\
Soit $ABC$ un triangle. Soient $M$ ; $N$ et \(K\) des points tels que:\\
$\overrightarrow{AM}=2\overrightarrow{AB}\quad$ ; $\quad\overrightarrow{CN}=\overrightarrow{BC}\quad$ et
$\quad\overrightarrow{AK}=2\overrightarrow{BC}$. \\
\hspace*{1cm} 1. Construir la figure\\
\hspace*{1cm} 2. Déterminer la nature du quadrilatère \(AKNB\) \\[1cm]
\underline{\textbf{Exercice 3:}} \((3pts)\)\\
Simplifier les sommes suivantes:\\[0.5cm]
\(\overrightarrow{BE}-\overrightarrow{BC}\quad\);
\(\quad\overrightarrow{AB}-\overrightarrow{AC}-\overrightarrow{BC}\quad\) ;
\(\quad\overrightarrow{AC}+2\overrightarrow{CB}+\overrightarrow{BA}\)\\
}% ending mycontent
\begin{multicols}{2} % Start two-column layout
\begin{mycontent}\end{mycontent}
\begin{mycontent}\end{mycontent}
\end{multicols} % End two-column layout
\end{document}
✨ Get your own materials formatted with LaTeX
Explore more maths content for 3apic:
Related Courses, Exams, and Exercises
Frequently Asked Questions
What chapters or courses does this exam cover?
This exam covers: the relevant chapters. It is designed to test understanding of these topics.
How many questions are in this exam?
The exam contains approximately several questions.
Is this exam aligned with the official curriculum?
Yes, it follows the 3apic maths guidelines.
What topics are covered in this course?
The course "Devoir 1 S02 - Equations, Inéquations et vecteurs" covers key concepts of maths for 3apic. Designed to help students master the curriculum.
Is this course suitable for beginners?
Yes, the material is structured to be accessible while providing depth for advanced learners.
Are there exercises or practice problems?
Exercises are included to help you practice.
Does this course include solutions?
Solutions are available separately.
Download maths Exam PDF (3apic)
📥 Download Devoir 1 S02 - Equations, Inéquations et vecteurs (PDF)