M06 FUVEST 𝘚𝘦𝘨𝘶𝘯𝘥𝘢 𝘍𝘢𝘴𝘦 Matemática 2023 (números complexos)
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*1 Tópicos teóricos abordados*
• Racionalização de números complexos
• Módulo de um número complexo
• Produto de z pelo seu conjugado
• Soma de z pelo seu conjugado
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*2 Enunciado* M06 FUVEST 𝘚𝘦𝘨𝘶𝘯𝘥𝘢 𝘍𝘢𝘴𝘦 Matemática 2023
Um número complexo é da forma 𝑧 = 𝑥 + 𝑦𝑖, onde 𝑥, 𝑦 ∈ ℝ e 𝑖² = −1.
a) Determine o valor de 𝑏 ∈ ℝ para que a parte real do número complexo seja igual a zero.
b) Determine a solução da equação |𝑧| − 𝑧 = 1 + 2𝑖.
c) Determine o valor de 𝑎∈ℝ, 𝑎 0, para que a equação
azz' + ( 1 + i ) z + [ ( 1 + i ) z ]' + 1 =0
descreva uma circunferência no plano cartesiano.
_Caso você tenha resolvido o problema por um caminho alternativo, não deixe de comentá-lo para assim enriquecermos a discussão_
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*3 Sugestão de problemas*
Envie uma sugestão de problema e eu a resolverei em vídeo – https://bit.ly/QED_forms
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*4 Equipamentos utilizados*
4.1 Mesa digitalizadora – https://amzn.to/3EhLXPE
4.2 Lousa digital – https://xournalpp.github.io/
4.3 Mouse sem fio – https://amzn.to/3gdHR2S
4.4 Teclado sem fio slim 75% – https://amzn.to/3X6w8E1
4.5 Microfone – https://amzn.to/3ZdN0ZN
4.6 Headset – https://amzn.to/3Z6C9RP
*5 Livros sobre finanças*
5.1 Décio Bazzin: https://amzn.to/3LiRZCW
5.2 Luiz Barsi Filho: https://amzn.to/3ndbYLo
5.3 Ludwig von Mises: https://amzn.to/3OE5jVe
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*Informações do vídeo*
*Música* – undertale
0:00 item a)
0:52 item b)
2:01 item c)
5:56 Retrospecto
#matemática #fuvest
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