Maths 1èreS Exercices corrigés

Mathematics exercises with answers 1èreS

exercises with corrections, exercises devoted to part of the mathematics program of first S. The exercises present on this page concern the equations and polynomials of the second and third degree, the concept of derivative and direction of variation of a function as well as the study of arithmetic and geometric sequences. More precisely, the first two series of exercises are devoted to determining the roots of a polynomial of degree 2 and to solving quadratic equations. In the following two series, you will find exercises on the factorization of polynomials of the second and third degree. Exercises on functions aim to review the notion of derivative of a function which is directly linked to the notion of tangent to a curve (graphic reading exercises) as well as to the meaning of variation of the function studied. The last series of exercises aims to become familiar with the calculation of the terms of an arithmetic or geometric sequence.

More precisely, here are some examples of typical exercises for each theme in mathematics for the first S:

1. Exercises on the 1st S equations:

Solve first degree equations with one unknown.

Solve quadratic equations with one unknown.

Solve systems of linear equations with two unknowns.

2. Exercises on polynomials 1st S:

Factoring quadratic polynomials.

Find the roots of a quadratic polynomial.

Perform operations on polynomials: addition, subtraction, multiplication.

3. Literal calculation exercises 1st S:

Simplify algebraic expressions using the properties of factorization and remarkable identity.

Solve equations and inequalities involving literal expressions.

Use literal expressions to model problems.

4. Exercises on 1st S derivatives:

Calculate the derivative of a given function.

Study the sign of the derivative of a function.

Use the derivative to study the variations of a function.

5. Exercises on 1st S functions:

Study the properties of affine, quadratic, exponential, logarithmic and trigonometric functions.

Solve equations or inequalities involving functions.

Study the variations of a given function.

6. Exercises on 1st S suites:

Calculate the terms of an arithmetic or geometric sequence.

Study the convergence or divergence of a given sequence.

Find a general term for a given sequence.

7. 1st trigonometry exercises:

Use trigonometric relations to calculate angles or side lengths in a right triangle.

Study trigonometric functions (sine, cosine, tangent) and their properties.

Solve trigonometric equations or inequalities.

These examples are not exhaustive, but they give an idea of ​​the types of exercises that can be covered in each theme. The exercises can vary in complexity and level of difficulty depending on the teaching program and the level of the student.

Exercises are of crucial importance in learning mathematics in first S, as they allow students to develop key skills in this area, such as understanding, analysis, problem solving and creativity.

Next, the exercises help students develop their analytical skills. Math exercises often pose complex problems that require in-depth analytical skills. By solving these problems, students learn to think logically and use analytical methods to find solutions.

Finally, mathematical exercises encourage creativity. Students often have to find several ways to solve a given problem, which encourages them to be creative and explore different approaches to finding solutions