نظرية طاليس ( نظريةتناسبية الاطوال في المثلث )

Von 12.37 € /Std

نظرية طاليس هي نظرية رياضية تُستخدم لتحديد الطول أو المسافة بين نقطتين غير معروفتين. وهي تعتمد على مبدأ تشابه المثلثات. وتم اكتشاف هذه النظرية من قبل الفيلسوف والرياضي اليوناني القديم طاليس (624-546 قبل الميلاد).

النظرية تقول:

# شروط النظرية
1. لدينا مثلثان: أحدهما كبير والآخر صغير.
2. المثلثان متشابهان (أي أن الزوايا المتقابلة متساوية).
3. المثلث الصغير يتشكل من قبل ارتفاع أو خط مستقيم يمر من نقطة معينة على أحد أضلاع المثلث الكبير.

# مبدأ النظرية
1. إذا كانت الزوايا المتقابلة للمثلثين متساوية، فإن الأضلاع المتقابلة ستكون متناسبة.
2. يمكن تحديد الطول أو المسافة بين النقطتين غير المعروفتين باستخدام النسبة بين الأضلاع المتقابلة.

# تطبيق النظرية
1. تحديد ارتفاع جبل أو مبنى.
2. حساب مسافة سفينة من الشاطئ.
3. تحديد ارتفاع الأشجار.
4. حساب المسافات في الهندسة المدنية.

# خطوات تطبيق النظرية
1. رسم مثلثين متشابهين.
2. تحديد الزوايا المتقابلة.
3. حساب النسبة بين الأضلاع المتقابلة.
4. استخدام النسبة لتحديد الطول أو المسافة المطلوبة.

# أمثلة على تطبيق النظرية
1. إذا كان ارتفاع المثلث الصغير 3 أمتار، والطول المقابل للمثلث الكبير 9 أمتار، فإن النسبة هي 1:3.
2. إذا كان طول ضلع المثلث الكبير 15 مترًا، فإن الطول المقابل للمثلث الصغير سيكون 5 أمتار.

Ort

Online aus Algerien

Alter

Kinder (7-12 Jahre alt)

Jugendliche (13-17 Jahre alt)

Erwachsene (18-64 Jahre alt)

Unterrichtsniveau

Anfänger

Mittel

Fortgeschritten

Dauer

60 Minuten

Unterrichtet in

Arabisch

Englisch

Französisch

Fachkenntnisse

Mathematik

Verfügbarkeit einer typischen Woche

(GMT -05:00)

New York

Online via Webcam

Mon

Tue

Wed

Thu

Fri

Sat

Sun

00-04

04-08

08-12

12-16

16-20

20-24

Narayan

4.9

(49)

Mathematics course taught by an engineering graduate with over 14 years of teaching experience in mathematics up to the undergraduate level. I also have more than 9 years of experience in teaching and guiding standardized tests such as the GRE and SAT. I can help you learn these standardized courses (GRE, SAT, and even TOEFL) more effectively.

I offer mathematics lessons for various levels of students, including Bachelor students, IB (Math SL and Math HL) students, A-level students, European S6 and S7 level students, GCSE students, and IGCSE students.

I also provide science courses in Physics and Chemistry for students up to the European upper secondary level, as well as IB and A-level students. Additionally, I offer Biology lessons for students up to the European Secondary level, GCSE level, and IGCSE level.

Currently, I am teaching a diverse range of students, including:
- GCSE students
- IGCSE students
- IB students
- European School students
- AS/A-level students
- Lycée Vauban students
- Athénée de Luxembourg students

My current students are from the following schools:
National:
1. St Georges International School, Luxembourg, Edexcel (Pearson) Curriculum (10 students)
2. International School of Luxembourg, Luxembourg, IB Curriculum (6 Students)
3. Lycée Athénée de Luxembourg, Luxembourg, IB Curriculum (4 Students)
4. Lycée - International School Michel Lucius, Luxembourg, Cambridge Curriculum (6 Students)
5. European School Kirchberg, Luxembourg, European Curriculum (4 students)
6. Lycée Aline Mayrisch, Luxembourg, Luxembourgish curriculum (1 student)
7. Lënster Lycée International School, Luxembourg, European Curriculum (2 Students)

International:
8. International School of the Hague, Netherlands, IB Curriculum (1 student)
9. International School Of Nice, France, IB Curriculum (2 students)
10. Merchiston Castle School, Edinburgh, Scotland, Edexcel (Pearson)/Cambridge (1 students)
11. Silverline Private School, Limassol, Cyprus, UK national Curriculum (1 Student)
12. North Broward Preparatory School, Florida, USA, IB Curriculum (1 Student)
13. King Solomon School, Israel, IB Curriculum (1 student)
14. The European School of Bergen, The Netherlands, European Curriculum (1 student)

I also provide homework help for school students, and student progress can be assessed through periodic tests as per the requirements of parents or the students themselves.

Note:
Please note that while some of my students may have courses taught in French, German, or Swedish, my primary teaching language is English. As the subject is mathematics, it is generally easy to understand the task at hand, and I explain the answers in English.

Kateryna

4.9

(49)

I have more than 15 years of experience in teaching and preparing international exams.
As a teacher I always try to determine student's needs and find a programm that fits them best.
Also I consider it important to improve, attending various seminars and webinars.
I use the most modern training materials, visual aids and videos.
In class I show gentleness and patience, helping students to believe in themselves.

Khalil

4.9

(49)

إذا شعرت يومًا أن العلوم والرياضيات صعبة، فمن المحتمل أن السبب في ذلك هو أن لا أحد علمك كيفية التفكير كحل للمشكلات.
في فصولي الدراسية، لن تتعلم الصيغ أو التعليمات البرمجية فحسب، بل ستتعلم أيضًا كيفية فهم المفاهيم حقًا وتطبيقها وبناء حدس منطقي قوي.

أنا أعلم:
• 🔢 الرياضيات: من الجبر وحساب التفاضل والتكامل إلى حل المشكلات التطبيقية للاستخدام في العالم الحقيقي.
• 💻 علوم الكمبيوتر: أساسيات البرمجة (Python وC++)، والخوارزميات، والتفكير المنطقي للمبتدئين والمتعلمين المتوسطين.
• ⚛️ الفيزياء: الميكانيكا، والديناميكا الحرارية، والأمثلة العملية التي تجعل الأفكار المجردة بسيطة ومرئية.

بصفتي مهندس برمجيات وطالب ماجستير في الهندسة بجامعة ناغويا، أجمع بين المعرفة الأكاديمية والخبرة العملية من مشاريع واقعية. أسلوبي في التدريس تفاعلي، بصري، ويركز بشكل كبير على الفهم بدلاً من الحفظ.

دعنا نحول المشكلات المعقدة إلى رؤى واضحة خطوة بخطوة - ونجعل التعلم شيئًا تستمتع به حقًا.

Nadine

4.9

(49)

(for English description see below)
Hallo,
ich biete hier Nachhilfe für Mathe und naturwissenschaftliche Fächer.
Egal ob Schule, Studium oder Beruf - lernen um ein Fach bestehen zu müssen macht weder Spaß noch viel Sinn, da man das Meiste bald auch schon wieder vergessen hat.
Aber wie geht es besser?
Ich habe mehrfach die Erfahrung gemacht, wie viel vom Erfolg davon abhängt, welche Emotionen mit dem Lernen verbunden werden. Deshalb werde ich versuchen, ein Umfeld zu schaffen, in dem du dich frei fühlst auch Fehler zu machen -denn Fehler sind wichtig zum Lernen! Ich setze auf Verständnis, Geduld und Neugier, um ein positives Verhältnis zum Lernen zu entwickeln, statt Druck auszuüben.

In Anlehnung an den Neurobiologen Gerald Hüther sehe ich die Kunst darin, genau richtig große Herausforderungen zu stellen, um spannend, aber nicht beängstigend zu sein, so dass man automatisch Freude am Entdecken entwickelt.
Gerne bin ich zu einem Kennenlerngespräch bereit, um die Bedürfnisse und Wünsche von vornherein zu brücksichtigen.
Hintergrundinformation zu mir:
ich bin Diplomingenieurin (Maschinenbau) mit 3 Jahren Arbeitserfahrung, sowie einem Master in Bionik (Querschnittsdisziplin zwischen Biologie und Ingenieurwissenschaften) und habe einen PhD in Umweltschutz von Bergregionen. Ich war beim Alpenverein als Jugendleiterin aktiv.
Ich habe bereits seit meiner eigenen Schulzeit immer wieder nebenher Nachhilfeunterricht gegeben.
Ich freue mich, dich kennenzulernen.

Hello,
I offer tutoring for maths and science subjects.
Whether at school, university or work - learning to pass a subject is neither fun nor makes much sense, as you soon forget most of it.
But how can it be better?
I have learnt many times how much success depends on the emotions associated with learning. That's why I try to create an environment in which you feel free to make mistakes - because mistakes are important for learning! I focus on understanding, patience and curiosity in order to develop a positive relationship with learning rather than exerting pressure.

Following the neurobiologist Gerald Hüther, I see the art in setting just the right amount of challenges to be exciting, but not frightening, so that you automatically develop the joy of discovery.
I would be happy to meet with you to discuss your needs and wishes from the outset.
Background information about me:
I am a graduate engineer (mechanical engineering) with 3 years of work experience, as well as a master's degree in bionics (cross-sectional discipline between biology and engineering) and have a PhD in environmental protection of mountain regions. I was active in the Alpine Club as a youth leader.
I have been tutoring on the side since my own school days.
I look forward to getting to know you.

Armend

4.9

(49)

Étudiant en bachelor en science économie et de gestion propose des cours particuliers en mathématiques.
J'ai obtenu mon baccalauréat avec une spécialisation en mathématiques et en physique et je dispose de connaissances suffisantes en mathématiques, physique, chimie, allemand, anglais et français.
Dans mon enseignement, je m'adapte aux conditions d'apprentissage et à la vie de l'élève afin de renforcer sa confiance en lui et de m'assurer qu'il comprend les cours et progresse.

Mon objectif est de créer un environnement d'apprentissage efficace. Je m'appuie sur le cours de l'élève, que je complète si nécessaire par des informations supplémentaires.

Pia

4.9

(49)

You are a high school student preparing for CCVX entrance examination for mathematics or OMPT? Don't fret, I'm here to help! Together we will cover the topics for the entrance exams. The classes will be customized to your needs and focus on your weak points so that you are well prepared for the exam to enter university. Mathematics has a lot to do with practice and getting familiar with the way of thinking logically. With my help and guidance, I am sure you will become confident in solving problems and understanding mathematical concepts.

Topics include, but are not limited to:
-Trigonometry
-Geometry (equation of lines/circles/etc.)
-Linear Algebra
-Calculus (limits, derivation, Integration)
-Set Theory and Metrics
-Analysis (quadratic equations, logarithms, exponential functions)
-Algebra
-Number Theory (sequence and series)
-Probability (statistics)
-Logic

The most important part of my lessons is, to ensure a safe and comfortable environment - I have no issue with explaining the same concept over and over again until I am convinced that you have understood it. It is important to me that you feel comfortable in asking any questions - I want to show you, that Math is more than a subject and that it can be fun!

Baia

4.9

(49)

Struggling with school math or aiming for exam excellence? In this class, I make complex topics simple, clear, and even enjoyable. From middle school to university level math, I adapt to every student's level and mindset. Whether it's building strong foundations or mastering advanced concepts, you or your child will walk away feeling confident, capable, and ready to shine.

✨ Personalised approach
📚 Clear explanations + real understanding
🏆 Proven results in IB, OMPT, VWO & more

Let’s turn “I don’t get it” into “I’ve got this!”
Book the first session and see the difference.

Christoph

4.9

(49)

Are you looking for help with mathematics?

To prepare for an exam, accomplish a coursework, a bachelor's or master's thesis?

I studied mathematics and physics (PhD) and have been teaching for 10 years. I have already
helped more than 150 students succeed.

I make the lecture material more understandable using concrete examples. I correct papers, explain the best methods to solve tasks or put up my own exercices to achieve the necessary level.

I would be happy to help you write extensive papers.

I am an affable character and am completely committed to one goal: the success of the
student.

Volodymyr

4.9

(49)

A Cambridge and UniVie Grad and a soon-to-start PhD student in Computer Science and Mathematics at ISTA to teach Maths, Stats, CS and/or Computational Biology/Programming modules.
Ich spreche auch Deutsch und kenne mich mit dem Schulmaterial (z.B. Matura) und Modulen aus Uniprogramm (BSc Mathe auf Uniwien) aus.

If your goal is not just to learn some formulas by heart, but to gain a deep insight into how mathematical topics are interconnected, or to get a hand at coding and how to think algorithmically to solve complex tasks – I am just the right fit for you or your child. Additionally, I am personally familiar with the British educational system – from A-Levels (3 x A*) to University (MSc/MPhil from Cambridge with distinctions).

Luca

4.9

(49)

I offer mathematics tutoring for children and teenagers.

My approach goes beyond simply teaching math. My main objective is to help students learn how to learn. Many students struggle not because they are “bad at math,” but because they were never shown how to understand, practice, and think independently. That is exactly what I focus on.

From my own experience, I understand how frustrating and demotivating the school system and traditional classes can feel when explanations are unclear or rushed. That is why I take the time to explain concepts step by step, in a calm and structured way, until they truly make sense.

I aim to build confidence, logical thinking, and independence, so students don’t just solve exercises during the lesson, but are able to approach problems on their own afterward. My goal is for students to realize that learning is not as difficult as it may seem — and that with the right explanation, it can actually feel manageable and motivating.

Lessons are adapted to each student’s level and needs and can include homework support, exam preparation, or strengthening fundamentals.

Ismail

4.9

(49)

Die Fächer die ich unterrichte, verlangen in den Jahren in der Oberstufe ein Vorwissen, welches die Schüler in den jungen Jahren lernen. Dabei möchte ich ihnen helfen. Dafür dass die Schüler das erwartete Vorwissen haben und bestens auf die darauf folgenden Jahre vorbereitet sind.

Bugraislam

4.9

(49)

Les mathématiques demandent avant tout de la méthode, de la logique et de la régularité. Ce cours a été conçu pour aider les élèves à comprendre en profondeur, reprendre confiance et progresser durablement.

Le contenu est adapté au niveau collège / secondaire et couvre notamment :
• arithmétique et calculs
• fractions, pourcentages et proportions
• équations et inéquations
• fonctions de base
• géométrie (aires, volumes, angles)
• raisonnement logique et résolution de problèmes

La pédagogie est progressive et structurée, avec des explications pas à pas, de nombreux exemples, des exercices guidés et des méthodes claires pour réussir les contrôles et examens.

Les cours peuvent être donnés en ligne (partage d’écran, tableau interactif, supports PDF) ou en présentiel selon disponibilité.

Laura

4.9

(49)

Je propose des cours d’appui scolaire en mathématiques, français et allemand pour les élèves du primaire et secondaire ( 1ère année de lycée)
Je vais t’aider avec tes devoirs à domicile, explications adaptées, préparation aux tests ect.
Je peux aussi donner des exercices supplémentaires pour t’entraîner si besoin!

Matias

4.9

(49)

Mathematics and Physics are foundational subjects that develop logical thinking, problem-solving skills, and a deep understanding of how the world works. However, students often feel overwhelmed by abstract concepts, formulas, and problem sets when they are not explained clearly or applied correctly.
I’ve designed this course as a practical and structured guide to Mathematics and Physics, specifically aimed at helping students truly understand the concepts rather than memorize formulas.

You’ll learn how to break down complex problems step by step, understand the reasoning behind formulas, apply mathematical tools to physical situations, and strengthen your analytical thinking through guided examples and practice exercises.

Markus

4.9

(49)

Ich biete verständliche und geduldige Online-Nachhilfe in Mathematik für Schüler*innen der Unterstufe an. Individuelle Unterstützung, gezielte Prüfungsvorbereitung und Hilfe bei Hausaufgaben. Flexibel, bequem von zu Hause aus. Jetzt starten!