Exercices sur les Nombres Complexes

Exercices sur les Nombres Complexes

12th Grade

33 Qs

quiz-placeholder

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Exercices sur les Nombres Complexes

Exercices sur les Nombres Complexes

Assessment

Quiz

Mathematics

12th Grade

Hard

Created by

youssef saad

FREE Resource

33 questions

Show all answers

1.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

1 ) Si z=4i−3, alors a ) Im(z)=-3 d ) −z=4i+3 b ) Im(z)=4 e ) iz=4−3i c ) z=4i+3 f ) Re(z)=-3

Re(z)=-3

Im(z)=-3

z=4i+3

Im(z)=4

−z=4i+3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

2 ) Si z=−3i, alors z est un imaginaire pur.

Vrai

Faux

3.

OPEN ENDED QUESTION

3 mins • 1 pt

3 ) Si z=−2, alors iz est un imaginaire pur.

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4.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

4 ) Si z=a+ib ( où a∈ℝ, b∈ℝ ), alors a ) Re(z+3)=Re(z)+3 c ) Im(z²)=b² b ) Re(iz)=b d ) Im(2z)=2b

Re(z+3)=Re(z)+3

Re(iz)=b

Im(z²)=b²

Im(2z)=2b

5.

OPEN ENDED QUESTION

3 mins • 1 pt

1 ) Déterminer les parties réelle et imaginaire de : 3i ; −5 ; 0 ; i³ ; 3i−2

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

2 ) Soit x∈ℝ et z=(4−2x)+i(5−x). a ) Pour quelle valeur de x, z est-il réel ? b ) Pour quelle valeur de x, z est-il imaginaire pur ?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

1 ) Déterminer la forme algébrique des nombres : z₁=3+5−i+2(8−5i) z₂=3(−2+5i)(3i−1)

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