Ivan Shishkin, Rye (1878)

Problems/OtherExerciseUnreviewed

Parties réelle et imaginaire de nombres complexes 1

by SalixBabylonica·
15
Difficulty scaleÉchelle de difficulté

This score reflects both the level of the required concepts and the difficulty of the solution.Ce score tient compte à la fois du niveau des notions nécessaires et de la difficulté de la résolution.

  1. 1–10First steps / middle schoolPremiers pas / collège
  2. 11–25Beginner / high schoolDébutant / lycée
  3. 26–50Intermediate / undergraduateIntermédiaire / licence
  4. 51–70Advanced / graduateAvancé / master
  5. 71–90Expert / specializedExpert / spécialisé
  6. 91–100Research levelNiveau recherche
These levels are approximate guides.Ces niveaux sont des repères approximatifs.
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Donner la partie imaginaire des nombres complexes suivants :

  1. z1=iz_1= i
  2. z2=34−5iz_2 = 34-5i
  3. z3=5z_3=5
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Solution by SalixBabylonica

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On a :

  1. ℜ(z1)=0\Re(z_{1})=0 et ℑ(z1)=1\Im(z_1)=1
  2. ℜ(z2)=34\Re(z_2)= 34 et ℑ(z2)=−5\Im(z_{2})=-5
  3. ℜ(z3)=5\Re(z_3) = 5 et ℑ(z3)=0\Im(z_3) = 0
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