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Prévia do material em texto

Ministério
da Educação
12Novembro/2014
Engenharia
Civil
LEIA COM ATENÇÃO AS INSTRUÇÕES ABAIXO.
ϭ͘��sĞƌŝĮƋƵĞ� ƐĞ͕� ĂůĠŵ� ĚĞƐƚĞ� ĐĂĚĞƌŶŽ͕� ǀŽĐġ� ƌĞĐĞďĞƵ� Ž� �ĂĚĞƌŶŽ� ĚĞ� ZĞƐƉŽƐƚĂƐ͕� ĚĞƐƟŶĂĚŽ� ă� ƚƌĂŶƐĐƌŝĕĆŽ� ĚĂƐ�
ƌĞƐƉŽƐƚĂƐ� ĚĂƐ� ƋƵĞƐƚƁĞƐ� ĚĞ� ŵƷůƟƉůĂ� ĞƐĐŽůŚĂ� ;ŽďũĞƟǀĂƐͿ͕� ĚĂƐ� ƋƵĞƐƚƁĞƐ� ĚŝƐĐƵƌƐŝǀĂƐ� Ğ� ĚŽ� ƋƵĞƐƟŽŶĄƌŝŽ� ĚĞ�
ƉĞƌĐĞƉĕĆŽ�ĚĂ�ƉƌŽǀĂ͘
Ϯ͘��ŽŶĮƌĂ�ƐĞ�ĞƐƚĞ�ĐĂĚĞƌŶŽ�ĐŽŶƚĠŵ�ĂƐ�ƋƵĞƐƚƁĞƐ�ĚŝƐĐƵƌƐŝǀĂƐ�Ğ�ĚĞ�ŵƷůƟƉůĂ�ĞƐĐŽůŚĂ�;ŽďũĞƟǀĂƐͿ͕�ĚĞ�ĨŽƌŵĂĕĆŽ�
ŐĞƌĂů�Ğ�ĚŽ�ĐŽŵƉŽŶĞŶƚĞ�ĞƐƉĞĐşĮĐŽ�ĚĂ�ĄƌĞĂ͕�Ğ�ĂƐ�ƌĞůĂƟǀĂƐ�ă�ƐƵĂ�ƉĞƌĐĞƉĕĆŽ�ĚĂ�ƉƌŽǀĂ͘��Ɛ�ƋƵĞƐƚƁĞƐ�ĞƐƚĆŽ�
ĂƐƐŝŵ�ĚŝƐƚƌŝďƵşĚĂƐ͗
Partes
Número das 
questões
Peso das 
questões no 
componente
Peso dos 
componentes no 
cálculo da nota
&ŽƌŵĂĕĆŽ�'ĞƌĂůͬ�ŝƐĐƵƌƐŝǀĂƐ �ϭ�Ğ��Ϯ 40%
25%
&ŽƌŵĂĕĆŽ�'ĞƌĂůͬKďũĞƟǀĂƐ ϭ�Ă�ϴ 60%
�ŽŵƉŽŶĞŶƚĞ��ƐƉĞĐşĮĐŽͬ�ŝƐĐƵƌƐŝǀĂƐ �ϯ�Ă��ϱ 15%
75%�ŽŵƉŽŶĞŶƚĞ��ƐƉĞĐşĮĐŽͬKďũĞƟǀĂƐ
EƷĐůĞŽ�ĚĞ��ŽŶƚĞƷĚŽƐ��ĄƐŝĐŽƐ
EƷĐůĞŽ�ĚĞ��ŽŶƚĞƷĚŽƐ�WƌŽĮƐƐŝŽŶĂůŝnjĂŶƚĞƐ
ϵ�Ă�ϭϴ
ϭϵ�Ă�ϯϱ
ϴϱй
YƵĞƐƟŽŶĄƌŝŽ�ĚĞ�WĞƌĐĞƉĕĆŽ�ĚĂ�WƌŽǀĂ� ϭ�Ă�ϵ - -
ϯ͘��sĞƌŝĮƋƵĞ�ƐĞ�Ă�ƉƌŽǀĂ�ĞƐƚĄ�ĐŽŵƉůĞƚĂ�Ğ�ƐĞ�Ž�ƐĞƵ�ŶŽŵĞ�ĞƐƚĄ�ĐŽƌƌĞƚŽ�ŶŽ��ĂĚĞƌŶŽ�ĚĞ�ZĞƐƉŽƐƚĂƐ͘��ĂƐŽ�ĐŽŶƚƌĄƌŝŽ͕�
ĂǀŝƐĞ�ŝŵĞĚŝĂƚĂŵĞŶƚĞ�Ƶŵ�ĚŽƐ�ƌĞƐƉŽŶƐĄǀĞŝƐ�ƉĞůĂ�ĂƉůŝĐĂĕĆŽ�ĚĂ�ƉƌŽǀĂ͘�sŽĐġ�ĚĞǀĞ�ĂƐƐŝŶĂƌ�Ž��ĂĚĞƌŶŽ�ĚĞ�ZĞƐƉŽƐƚĂƐ�
ŶŽ�ĞƐƉĂĕŽ�ƉƌſƉƌŝŽ͕�ĐŽŵ�ĐĂŶĞƚĂ�ĞƐĨĞƌŽŐƌĄĮĐĂ�ĚĞ�ƟŶƚĂ�ƉƌĞƚĂ͘
ϰ͘��KďƐĞƌǀĞ�ĂƐ�ŝŶƐƚƌƵĕƁĞƐ�ƐŽďƌĞ�Ă�ŵĂƌĐĂĕĆŽ�ĚĂƐ�ƌĞƐƉŽƐƚĂƐ�ĚĂƐ�ƋƵĞƐƚƁĞƐ�ĚĞ�ŵƷůƟƉůĂ�ĞƐĐŽůŚĂ�;ĂƉĞŶĂƐ�ƵŵĂ�ƌĞƐƉŽƐƚĂ�
ƉŽƌ�ƋƵĞƐƚĆŽͿ͕�ĞdžƉƌĞƐƐĂƐ�ŶŽ��ĂĚĞƌŶŽ�ĚĞ�ZĞƐƉŽƐƚĂƐ͘
ϱ͘��hƐĞ�ĐĂŶĞƚĂ�ĞƐĨĞƌŽŐƌĄĮĐĂ�ĚĞ�ƟŶƚĂ�ƉƌĞƚĂ͕�ƚĂŶƚŽ�ƉĂƌĂ�ŵĂƌĐĂƌ�ĂƐ�ƌĞƐƉŽƐƚĂƐ�ĚĂƐ�ƋƵĞƐƚƁĞƐ�ŽďũĞƟǀĂƐ�ƋƵĂŶƚŽ�ƉĂƌĂ�
ĞƐĐƌĞǀĞƌ�ĂƐ�ƌĞƐƉŽƐƚĂƐ�ĚĂƐ�ƋƵĞƐƚƁĞƐ�ĚŝƐĐƵƌƐŝǀĂƐ͘
ϲ͘�ZĞƐƉŽŶĚĂ� ĐĂĚĂ� ƋƵĞƐƚĆŽ� ĚŝƐĐƵƌƐŝǀĂ� Ğŵ͕� ŶŽ�ŵĄdžŝŵŽ͕� ϭϱ� ůŝŶŚĂƐ͘� YƵĂůƋƵĞƌ� ƚĞdžƚŽ� ƋƵĞ� ƵůƚƌĂƉĂƐƐĂƌ� Ž� ĞƐƉĂĕŽ�
ĚĞƐƟŶĂĚŽ�ă�ƌĞƐƉŽƐƚĂ�ƐĞƌĄ�ĚĞƐĐŽŶƐŝĚĞƌĂĚŽ͘
ϳ͘�EĆŽ�ƵƐĞ�ĐĂůĐƵůĂĚŽƌĂ͖�ŶĆŽ�ƐĞ�ĐŽŵƵŶŝƋƵĞ�ĐŽŵ�ŽƐ�ĚĞŵĂŝƐ�ĞƐƚƵĚĂŶƚĞƐ�ŶĞŵ�ƚƌŽƋƵĞ�ŵĂƚĞƌŝĂů�ĐŽŵ�ĞůĞƐ͖�
ŶĆŽ�ĐŽŶƐƵůƚĞ�ŵĂƚĞƌŝĂů�ďŝďůŝŽŐƌĄĮĐŽ͕�ĐĂĚĞƌŶŽƐ�ŽƵ�ĂŶŽƚĂĕƁĞƐ�ĚĞ�ƋƵĂůƋƵĞƌ�ĞƐƉĠĐŝĞ͘
ϴ͘�sŽĐġ�ƚĞƌĄ�ƋƵĂƚƌŽ�ŚŽƌĂƐ�ƉĂƌĂ�ƌĞƐƉŽŶĚĞƌ�ăƐ�ƋƵĞƐƚƁĞƐ�ĚĞ�ŵƷůƟƉůĂ�ĞƐĐŽůŚĂ�Ğ�ĚŝƐĐƵƌƐŝǀĂƐ�Ğ�ĂŽ�ƋƵĞƐƟŽŶĄƌŝŽ�ĚĞ�
ƉĞƌĐĞƉĕĆŽ�ĚĂ�ƉƌŽǀĂ͘
ϵ͘�YƵĂŶĚŽ�ƚĞƌŵŝŶĂƌ͕ �ĞŶƚƌĞŐƵĞ�ĂŽ��ƉůŝĐĂĚŽƌ�ŽƵ�&ŝƐĐĂů�Ž�ƐĞƵ��ĂĚĞƌŶŽ�ĚĞ�ZĞƐƉŽƐƚĂƐ͘
10. Atenção!�sŽĐġ�ĚĞǀĞƌĄ�ƉĞƌŵĂŶĞĐĞƌ͕ �ŶŽ�ŵşŶŝŵŽ͕�ƉŽƌ�ƵŵĂ�ŚŽƌĂ͕�ŶĂ�ƐĂůĂ�ĚĞ�ĂƉůŝĐĂĕĆŽ�ĚĂƐ�ƉƌŽǀĂƐ�Ğ�Ɛſ�ƉŽĚĞƌĄ�
ůĞǀĂƌ�ĞƐƚĞ��ĂĚĞƌŶŽ�ĚĞ�WƌŽǀĂ�ĂƉſƐ�ĚĞĐŽƌƌŝĚĂƐ�ƚƌġƐ�ŚŽƌĂƐ�ĚŽ�ŝŶşĐŝŽ�ĚŽ��džĂŵĞ͘
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FORMAÇÃO GERAL
QUESTÃO DISCURSIVA 1
KƐ�ĚĞƐĂĨŝŽƐ�ĚĂ�ŵŽďŝůŝĚĂĚĞ�ƵƌďĂŶĂ�ĂƐƐŽĐŝĂŵͲƐĞ�ă�ŶĞĐĞƐƐŝĚĂĚĞ�ĚĞ�ĚĞƐĞŶǀŽůǀŝŵĞŶƚŽ�ƵƌďĂŶŽ�ƐƵƐƚĞŶƚĄǀĞů͘�
��KEh�ĚĞĮŶĞ�ĞƐƐĞ�ĚĞƐĞŶǀŽůǀŝŵĞŶƚŽ�ĐŽŵŽ�ĂƋƵĞůĞ�ƋƵĞ�ĂƐƐĞŐƵƌĂ�ƋƵĂůŝĚĂĚĞ�ĚĞ�ǀŝĚĂ͕�ŝŶĐůƵşĚŽƐ�ŽƐ�ĐŽŵƉŽŶĞŶƚĞƐ�
ĞĐŽůſŐŝĐŽƐ͕�ĐƵůƚƵƌĂŝƐ͕�ƉŽůşƟĐŽƐ͕�ŝŶƐƟƚƵĐŝŽŶĂŝƐ͕�ƐŽĐŝĂŝƐ�Ğ�ĞĐŽŶƀŵŝĐŽƐ�ƋƵĞ�ŶĆŽ�ĐŽŵƉƌŽŵĞƚĂŵ�Ă�ƋƵĂůŝĚĂĚĞ�ĚĞ�
ǀŝĚĂ�ĚĂƐ�ĨƵƚƵƌĂƐ�ŐĞƌĂĕƁĞƐ͘
K�ĞƐƉĂĕŽ�ƵƌďĂŶŽ�ďƌĂƐŝůĞŝƌŽ�Ġ�ŵĂƌĐĂĚŽ�ƉŽƌ�ŝŶƷŵĞƌŽƐ�ƉƌŽďůĞŵĂƐ�ĐŽƟĚŝĂŶŽƐ�Ğ�ƉŽƌ�ǀĄƌŝĂƐ�ĐŽŶƚƌĂĚŝĕƁĞƐ͘�hŵĂ�ĚĂƐ�
ŐƌĂŶĚĞƐ�ƋƵĞƐƚƁĞƐ�Ğŵ�ĚĞďĂƚĞ�Ěŝnj�ƌĞƐƉĞŝƚŽ�ă�ŵŽďŝůŝĚĂĚĞ�ƵƌďĂŶĂ͕�ƵŵĂ�ǀĞnj�ƋƵĞ�Ž�ŵŽŵĞŶƚŽ�Ġ�ĚĞ�ŵŽƚŽƌŝnjĂĕĆŽ�
ĚŽƐ�ĚĞƐůŽĐĂŵĞŶƚŽƐ�ĚĂ�ƉŽƉƵůĂĕĆŽ͕�ƉŽƌ�ŵĞŝŽ�ĚĞ�ƚƌĂŶƐƉŽƌƚĞ�ĐŽůĞƟǀŽ�Ğ�ŝŶĚŝǀŝĚƵĂů͘
�ŽŶƐŝĚĞƌĞ�ŽƐ�ĚĂĚŽƐ�ĚŽ�ƐĞŐƵŝŶƚĞ�ƋƵĂĚƌŽ͘
Mobilidade urbana em cidade com mais de 500 mil habitantes
Modalidade Tipologia Porcentagem (%)
EĆŽ�ŵŽƚŽƌŝnjĂĚŽ ��ƉĠ ϭϱ͕ϵ�ŝĐŝĐůĞƚĂ� Ϯ͕ϳ
DŽƚŽƌŝnjĂĚŽ�ĐŽůĞƟǀŽ
NŶŝďƵƐ�ŵƵŶŝĐŝƉĂů ϮϮ͕Ϯ
NŶŝďƵƐ�ŵĞƚƌŽƉŽůŝƚĂŶŽ ϰ͕ϱ
DĞƚƌŽĨĞƌƌŽǀŝĄƌŝŽ Ϯϱ͕ϭ
DŽƚŽƌŝnjĂĚŽ�ŝŶĚŝǀŝĚƵĂů �ƵƚŽŵſǀĞů Ϯϳ͕ϱDŽƚŽĐŝĐůĞƚĂ Ϯ͕ϭ
dĞŶĚŽ� Ğŵ� ǀŝƐƚĂ� Ž� ƚĞdžƚŽ� Ğ� Ž� ƋƵĂĚƌŽ� ĚĞ� ŵŽďŝůŝĚĂĚĞ� ƵƌďĂŶĂ� ĂƉƌĞƐĞŶƚĂĚŽƐ͕� ƌĞĚŝũĂ� Ƶŵ� ƚĞdžƚŽ� ĚŝƐƐĞƌƚĂƟǀŽ͕�
ĐŽŶƚĞŵƉůĂŶĚŽ�ŽƐ�ƐĞŐƵŝŶƚĞƐ�ĂƐƉĞĐƚŽƐ͗
ĂͿ� ĐŽŶƐĞƋƵġŶĐŝĂƐ͕�ƉĂƌĂ�Ž�ĚĞƐĞŶǀŽůǀŝŵĞŶƚŽ�ƐƵƐƚĞŶƚĄǀĞů͕�ĚŽ�ƵƐŽ�ŵĂŝƐ�ĨƌĞƋƵĞŶƚĞ�ĚŽ�ƚƌĂŶƐƉŽƌƚĞ�ŵŽƚŽƌŝnjĂĚŽ͖�
;ǀĂůŽƌ͗�ϱ͕Ϭ�ƉŽŶƚŽƐͿ
ďͿ� ĚƵĂƐ�ĂĕƁĞƐ�ĚĞ�ŝŶƚĞƌǀĞŶĕĆŽ�ƋƵĞ�ĐŽŶƚƌŝďƵĂŵ�ƉĂƌĂ�Ă�ĐŽŶƐŽůŝĚĂĕĆŽ�ĚĞ�ƉŽůşƟĐĂ�ƉƷďůŝĐĂ�ĚĞ�ŝŶĐƌĞŵĞŶƚŽ�ĂŽ�ƵƐŽ�
ĚĞ�ďŝĐŝĐůĞƚĂ�ŶĂ�ĐŝĚĂĚĞ�ŵĞŶĐŝŽŶĂĚĂ͕�ĂƐƐĞŐƵƌĂŶĚŽͲƐĞ�Ž�ĚĞƐĞŶǀŽůǀŝŵĞŶƚŽ�ƐƵƐƚĞŶƚĄǀĞů͘�;ǀĂůŽƌ͗�ϱ͕Ϭ�ƉŽŶƚŽƐͿ
RASCUNHO
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QUESTÃO DISCURSIVA 2
dƌġƐ�ũŽǀĞŶƐ�ĚĞ�ϭϵ�ĂŶŽƐ�ĚĞ�ŝĚĂĚĞ͕�ŵŽƌĂĚŽƌĞƐ�ĚĞ�ƌƵĂ͕�ĨŽƌĂŵ�ƉƌĞƐŽƐ�Ğŵ�ŇĂŐƌĂŶƚĞ͕�ŶĞƐƚĂ�ƋƵĂƌƚĂͲĨĞŝƌĂ͕�ƉŽƌ�ƚĞƌĞŵ�
ĂƚĞĂĚŽ�ĨŽŐŽ�Ğŵ�Ƶŵ�ũŽǀĞŵ�ĚĞ�ϭϳ�ĂŶŽƐ͕�ŐƵĂƌĚĂĚŽƌ�ĚĞ�ĐĂƌƌŽƐ͘�K�ŵŽƟǀŽ͕�ƐĞŐƵŶĚŽ�Ă�ϭϰ͘a��W͕ �ĨŽŝ�ƵŵĂ�͚͛ďƌŝŐĂ�ƉŽƌ�
ƉŽŶƚŽ͛͛͘ �hŵ�ŵŽƚŽƌŝƐƚĂ�ĚĞƵ�͚͛Ƶŵ�ƚƌŽĐĂĚŽ͛͛�ĂŽ�ŵĞŶŽƌ͕ �Ž�ƋƵĞ�ŝƌƌŝƚŽƵ�ŽƐ�ƚƌġƐ�ŵŽƌĂĚŽƌĞƐ�ĚĞ�ƌƵĂ͕�ƋƵĞ�ƚĂŵďĠŵ�
ŐƵĂƌĚĂǀĂŵ�ĐĂƌƌŽƐ�ŶŽ� ůŽĐĂů͘�K�ŵĞŶŽƌ�ĨŽŝ� ůĞǀĂĚŽ�ĂŽ�,ŽƐƉŝƚĂů�ĚĂƐ��ůşŶŝĐĂƐ� ;,�Ϳ�ƉŽƌ�WDƐ�ƋƵĞ�ƉĂƐƐĂǀĂŵ�ƉĞůŽ�
ůŽĐĂů͘�^ĞŐƵŶĚŽ�Ž�,�͕�ĞůĞ�ƚĞǀĞ�ƋƵĞŝŵĂĚƵƌĂƐ�ůĞǀĞƐ�ŶŽ�ŽŵďƌŽ�ĞƐƋƵĞƌĚŽ͕�ĨŽŝ�ŵĞĚŝĐĂĚŽ�Ğ͕�Ğŵ�ƐĞŐƵŝĚĂ͕�ůŝďĞƌĂĚŽ͘�
KƐ�ŝŶĚŝĐŝĂĚŽƐ�ƉŽĚĞŵ�ƉĞŐĂƌ�ĚĞ�ϭϮ�Ă�ϯϬ�ĂŶŽƐ�ĚĞ�ƉƌŝƐĆŽ͕�ƐĞ�ĮĐĂƌ�ĐŽŵƉƌŽǀĂĚŽ�ƋƵĞ�Ă�ŝŶƚĞŶĕĆŽ�ĞƌĂ�ŵĂƚĂƌ�Ž�ŵĞŶŽƌ͘ �
�ĂƐŽ�ĐŽŶƚƌĄƌŝŽ͕�ĐŽŶĨŽƌŵĞ�Ă�ϭϰ͘a��W͕ �ŽƐ�ƚƌġƐ�ƉŽĚĞƌĆŽ�ƉĞŐĂƌ�ĚĞ�Ƶŵ�Ă�ƚƌġƐ�ĂŶŽƐ�ĚĞ�ĐĂĚĞŝĂ͘
�ŝƐƉŽŶşǀĞů�Ğŵ͗фŚƩƉ͗ͬͬǁǁǁϭ͘ĨŽůŚĂ͘ƵŽů͘ĐŽŵ͘ďƌх͘��ĐĞƐƐŽ�Ğŵ͗�Ϯϴ�ũƵů͘�ϮϬϭϯ�;ĂĚĂƉƚĂĚŽͿ͘
��ƉĂƌƟƌ�ĚĂ�ƐŝƚƵĂĕĆŽ�ŶĂƌƌĂĚĂ͕�ĞůĂďŽƌĞ�Ƶŵ�ƚĞdžƚŽ�ĚŝƐƐĞƌƚĂƟǀŽ�ƐŽďƌĞ�ǀŝŽůġŶĐŝĂ�ƵƌďĂŶĂ͕�ĂƉƌĞƐĞŶƚĂŶĚŽ͗
ĂͿ��ĂŶĄůŝƐĞ�ĚĞ�ĚƵĂƐ�ĐĂƵƐĂƐ�ĚŽ�ƟƉŽ�ĚĞ�ǀŝŽůġŶĐŝĂ�ĚĞƐĐƌŝƚĂ�ŶŽ�ƚĞdžƚŽ͖�;ǀĂůŽƌ͗�ϳ͕Ϭ�ƉŽŶƚŽƐͿ
ďͿ��ĚŽŝƐ�ĨĂƚŽƌĞƐ�ƋƵĞ�ĐŽŶƚƌŝďƵŝƌŝĂŵ�ƉĂƌĂ�ƐĞ�ĞǀŝƚĂƌ�Ž�ĨĂƚŽ�ĚĞƐĐƌŝƚŽ�ŶĂ�ŶŽơĐŝĂ͘�;ǀĂůŽƌ͗�ϯ͕Ϭ�ƉŽŶƚŽƐͿ
RASCUNHO
1
2
ϯ
4
5
6
7
ϴ
9
10
11
12
ϭϯ
14
15
*R1220143*
4
�E'�E,�Z/���/s/>
QUESTÃO 01
K�ƚƌĞĐŚŽ�ĚĂ�ŵƷƐŝĐĂ�͞ EŽƐ��ĂŝůĞƐ�ĚĂ�sŝĚĂ͕͟ �ĚĞ�DŝůƚŽŶ�EĂƐĐŝŵĞŶƚŽ͕�͞ ƚŽĚŽ�ĂƌƟƐƚĂ�ƚĞŵ�ĚĞ�ŝƌ�ĂŽŶĚĞ�Ž�ƉŽǀŽ�ĞƐƚĄ͕͟ �Ġ�ĂŶƟŐŽ͕�
Ğ�Ă�ŵƷƐŝĐĂ͕�ĚĞ�ƚĆŽ�ƚŽĐĂĚĂ͕�ĂĐĂďŽƵ�ƉŽƌ�ƐĞ�ƚŽƌŶĂƌ�Ƶŵ�ĞƐƚĞƌĞſƟƉŽ�ĚĞ�ƚŽĐĂĚŽƌĞƐ�ĚĞ�ǀŝŽůƁĞƐ�Ğ�ĚĞ�ƌŽĚĂƐ�ĚĞ�ĂŵŝŐŽƐ�Ğŵ�
sŝƐĐŽŶĚĞ�ĚĞ�DĂƵĄ͕�ŶŽƐ�ĂŶŽƐ�ϭϵϳϬ͘��ŵ�ƚĞŵƉŽƐ�ĚŝŐŝƚĂŝƐ͕�ƉŽƌĠŵ͕�ĞůĂ�ĮĐŽƵ�ŵĂŝƐ�ĂƚƵĂů�ĚŽ�ƋƵĞ�ŶƵŶĐĂ͘���ĨĄĐŝů�ĞŶƚĞŶĚĞƌ�
Ž�ƉŽƌƋƵġ͗�ĂŶƟŐĂŵĞŶƚĞ͕�ƋƵĂŶĚŽ�Ă�ŝŶĨŽƌŵĂĕĆŽ�ƐĞ�ĐŽŶĐĞŶƚƌĂǀĂ�Ğŵ�ĐĞŶƚƌŽƐ�ĚĞ�ĞdžƉŽƐŝĕĆŽ͕�ǀĞşĐƵůŽƐ�ĚĞ�ĐŽŵƵŶŝĐĂĕĆŽ͕�
ĞĚŝƚŽƌĂƐ͕�ŵƵƐĞƵƐ�Ğ�ŐƌĂǀĂĚŽƌĂƐ͕�ĞƌĂ�ƉƌĞĐŝƐŽ�ƉĂƐƐĂƌ�ƉŽƌ�ƵŵĂ�ƐĠƌŝĞ�ĚĞ�ĐƵƌĂĚŽƌĞƐ͕�ƉĂƌĂ�ŐĂƌĂŶƟƌ�Ă�ƉƵďůŝĐĂĕĆŽ�ĚĞ�Ƶŵ�
ĂƌƟŐŽ�ŽƵ�ůŝǀƌŽ͕�Ă�ŐƌĂǀĂĕĆŽ�ĚĞ�Ƶŵ�ĚŝƐĐŽ�ŽƵ�Ă�ƉƌŽĚƵĕĆŽ�ĚĞ�ƵŵĂ�ĞdžƉŽƐŝĕĆŽ͘�K�ŵĞƐŵŽ�ĨƵŶŝů͕�ƋƵĞ�ƉŽĚĞƌŝĂ�ƐĞƌ�ŝŶũƵƐƚŽ�Ğ�
ĚĞŝdžĂƌ�ŐƌĂŶĚĞƐ�ƚĂůĞŶƚŽƐ�ĚĞ�ĨŽƌĂ͕�ƐŝŵƉůĞƐŵĞŶƚĞ�ƉŽƌƋƵĞ�ŶĆŽ�ƟŶŚĂŵ�ĂĐĞƐƐŽ�ăƐ�ĨĞƌƌĂŵĞŶƚĂƐ͕�ăƐ�ƉĞƐƐŽĂƐ�ŽƵ�ăƐ�ĨŽŶƚĞƐ�
ĚĞ�ŝŶĨŽƌŵĂĕĆŽ͕�ƚĂŵďĠŵ�ƐĞƌǀŝĂ�ĐŽŵŽ�ĮůƚƌŽ�ĚĞ�ƋƵĂůŝĚĂĚĞ͘�dŽĐĂƌ�ǀŝŽůĆŽ�ŽƵ�ĞŶĐĞŶĂƌ�ƵŵĂ�ƉĞĕĂ�ĚĞ�ƚĞĂƚƌŽ�Ğŵ�Ƶŵ�ŐƌĂŶĚĞ�
ĂƵĚŝƚſƌŝŽ�ĐŽƐƚƵŵĂǀĂ�ƚĞƌ�Ƶŵ�ƉĞƐŽ�ŵƵŝƚŽ�ŵĂŝŽƌ�ĚŽ�ƋƵĞ� ĨĂnjġͲůŽ�Ğŵ�Ƶŵ�ďĂƌ͕ �Ƶŵ�ĐĞŶƚƌŽ�ĐƵůƚƵƌĂů�ŽƵ�ƵŵĂ�ĐĂůĕĂĚĂ͘�
EĂƐ�ƌĂƌĂƐ�ŽĐĂƐŝƁĞƐ�Ğŵ�ƋƵĞ�ĞƐƐĞ�ǀĂůŽƌ�ƐĞ�ŝŶǀĞƌƟĂ͕�ĞƌĂ�ũƵƐƚĂŵĞŶƚĞ�ƉŽƌƋƵĞ͕�ƉĂƌĂ�ƵƐŽ�ĚŽ�ĞƐƉĂĕŽ�͞ĂůƚĞƌŶĂƟǀŽ͕͟ �ŚĂǀŝĂ�
ŵĞĐĂŶŝƐŵŽƐ�ĚĞ�ƐĞůĞĕĆŽ�ƚĆŽ�ŽƵ�ŵĂŝƐ�ƌşŐŝĚŽƐ�ƋƵĞ�ŽƐ�ĚŽ�ĞƐƉĂĕŽ�ŽĮĐŝĂů͘
Z��&�,Z�Z͕�>͘�dŽĚŽ�ĂƌƟƐƚĂ�ƚĞŵ�ĚĞ�ŝƌ�ĂŽŶĚĞ�Ž�ƉŽǀŽ�ĞƐƚĄ͘�ŝƐƉŽŶşǀĞů�Ğŵ͗�фŚƩƉ͗ͬͬŶŽǀŽ͘ŝƚĂƵĐƵůƚƵƌĂů͘ŽƌŐ͘ďƌх͘��ĐĞƐƐŽ�Ğŵ͗�Ϯϵ�ũƵů͘�ϮϬϭϰ�;ĂĚĂƉƚĂĚŽͿ͘
��ƉĂƌƟƌ�ĚŽ�ƚĞdžƚŽ�ĂĐŝŵĂ͕�ĂǀĂůŝĞ�ĂƐ�ĂƐƐĞƌĕƁĞƐ�Ă�ƐĞŐƵŝƌ�Ğ�Ă�ƌĞůĂĕĆŽ�ƉƌŽƉŽƐƚĂ�ĞŶƚƌĞ�ĞůĂƐ͘
/͘� K�ƉƌŽĐĞƐƐŽ�ĚĞ�ĞǀŽůƵĕĆŽ�ƚĞĐŶŽůſŐŝĐĂ�ĚĂ�ĂƚƵĂůŝĚĂĚĞ�ĚĞŵŽĐƌĂƟnjĂ�Ă�ƉƌŽĚƵĕĆŽ�Ğ�Ă�ĚŝǀƵůŐĂĕĆŽ�ĚĞ�ŽďƌĂƐ�
ĂƌơƐƟĐĂƐ͕�ƌĞĚƵnjŝŶĚŽ�Ă�ŝŵƉŽƌƚąŶĐŝĂ�ƋƵĞ�ŽƐ�ĐĞŶƚƌŽƐ�ĚĞ�ĞdžƉŽƐŝĕĆŽ�ƟŶŚĂŵ�ŶŽƐ�ĂŶŽƐ�ϭϵϳϬ͘
PORQUE
//͘� �Ɛ�ŶŽǀĂƐ�ƚĞĐŶŽůŽŐŝĂƐ�ƉŽƐƐŝďŝůŝƚĂŵ�ƋƵĞ�ĂƌƟƐƚĂƐ�ƐĞũĂŵ�ŝŶĚĞƉĞŶĚĞŶƚĞƐ͕�ŵŽŶƚĞŵ�ƐĞƵƐ�ƉƌſƉƌŝŽƐ�ĂŵďŝĞŶƚĞƐ�
ĚĞ�ƉƌŽĚƵĕĆŽ�Ğ�ĚŝƐƉŽŶŝďŝůŝnjĞŵ�ƐĞƵƐ�ƚƌĂďĂůŚŽƐ͕�ĚĞ�ĨŽƌŵĂ�ƐŝŵƉůĞƐ͕�ƉĂƌĂ�Ƶŵ�ŐƌĂŶĚĞ�ŶƷŵĞƌŽ�ĚĞ�ƉĞƐƐŽĂƐ͘
��ƌĞƐƉĞŝƚŽ�ĚĞƐƐĂƐ�ĂƐƐĞƌĕƁĞƐ͕�ĂƐƐŝŶĂůĞ�Ă�ŽƉĕĆŽ�ĐŽƌƌĞƚĂ͘
A �Ɛ�ĂƐƐĞƌĕƁĞƐ�/�Ğ�//�ƐĆŽ�ƉƌŽƉŽƐŝĕƁĞƐ�ǀĞƌĚĂĚĞŝƌĂƐ͕�Ğ�Ă�//�Ġ�ƵŵĂ�ũƵƐƟĮĐĂƟǀĂ�ĐŽƌƌĞƚĂ�ĚĂ�/͘
B �Ɛ�ĂƐƐĞƌĕƁĞƐ�/�Ğ�//�ƐĆŽ�ƉƌŽƉŽƐŝĕƁĞƐ�ǀĞƌĚĂĚĞŝƌĂƐ͕�ŵĂƐ�Ă�//�ŶĆŽ�Ġ�ƵŵĂ�ũƵƐƟĮĐĂƟǀĂ�ĐŽƌƌĞƚĂ�ĚĂ�/͘
C ��ĂƐƐĞƌĕĆŽ�/�Ġ�ƵŵĂ�ƉƌŽƉŽƐŝĕĆŽ�ǀĞƌĚĂĚĞŝƌĂ͕�Ğ�Ă�//�Ġ�ƵŵĂ�ƉƌŽƉŽƐŝĕĆŽ�ĨĂůƐĂ͘
D ��ĂƐƐĞƌĕĆŽ�/�Ġ�ƵŵĂ�ƉƌŽƉŽƐŝĕĆŽ�ĨĂůƐĂ͕�Ğ�Ă�//�Ġ�ƵŵĂ�ƉƌŽƉŽƐŝĕĆŽ�ǀĞƌĚĂĚĞŝƌĂ͘
E �Ɛ�ĂƐƐĞƌĕƁĞƐ�/�Ğ�//�ƐĆŽ�ƉƌŽƉŽƐŝĕƁĞƐ�ĨĂůƐĂƐ͘
QUESTÃO 02
�Žŵ�Ă�ŐůŽďĂůŝnjĂĕĆŽ�ĚĂ�ĞĐŽŶŽŵŝĂ�ƐŽĐŝĂů�ƉŽƌ�ŵĞŝŽ�ĚĂƐ�ŽƌŐĂŶŝnjĂĕƁĞƐ�ŶĆŽ�ŐŽǀĞƌŶĂŵĞŶƚĂŝƐ͕�ƐƵƌŐŝƵ�ƵŵĂ�ĚŝƐĐƵƐƐĆŽ�
ĚŽ�ĐŽŶĐĞŝƚŽ�ĚĞ�ĞŵƉƌĞƐĂ͕�ĚĞ�ƐƵĂ�ĨŽƌŵĂ�ĚĞ�ĐŽŶĐĞƉĕĆŽ�ũƵŶƚŽ�ăƐ�ŽƌŐĂŶŝnjĂĕƁĞƐ�ďƌĂƐŝůĞŝƌĂƐ�Ğ�ĚĞ�ƐƵĂƐ�ƉƌĄƟĐĂƐ͘�
�ĂĚĂ�ǀĞnj�ŵĂŝƐ͕�Ġ�ŶĞĐĞƐƐĄƌŝŽ�ĐŽŵďŝŶĂƌ�ĂƐ�ƉŽůşƟĐĂƐ�ƉƷďůŝĐĂƐ�ƋƵĞ�ƉƌŝŽƌŝnjĂŵ�ŵŽĚĞƌŶŝĚĂĚĞ�Ğ�ĐŽŵƉĞƟǀŝĚĂĚĞ�
ĐŽŵ�Ž�ĞƐĨŽƌĕŽ�ĚĞ�ŝŶĐŽƌƉŽƌĂĕĆŽ�ĚŽƐ�ƐĞƚŽƌĞƐ�ĂƚƌĂƐĂĚŽƐ͕�ŵĂŝƐ�ŝŶƚĞŶƐŝǀŽƐ�ĚĞ�ŵĆŽ�ĚĞ�ŽďƌĂ͘�
�ŝƐƉŽŶşǀĞů�Ğŵ͗�фŚƩƉ͗ͬͬƵŶƉĂŶϭ͘ƵŶ͘ŽƌŐх͘��ĐĞƐƐŽ�Ğŵ͗�ϰ�ĂŐŽ͘�ϮϬϭϰ�;ĂĚĂƉƚĂĚŽͿ͘��ƌĞƐƉĞŝƚŽ�ĚĞƐƐĂ�ƚĞŵĄƟĐĂ͕�ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� K� ƚĞƌĐĞŝƌŽ� ƐĞƚŽƌ� Ġ� ƵŵĂ�ŵŝƐƚƵƌĂ� ĚŽƐ� ĚŽŝƐ� ƐĞƚŽƌĞƐ� ĞĐŽŶƀŵŝĐŽƐ� ĐůĄƐƐŝĐŽƐ� ĚĂ� ƐŽĐŝĞĚĂĚĞ͗� Ž� ƉƷďůŝĐŽ͕�
ƌĞƉƌĞƐĞŶƚĂĚŽ�ƉĞůŽ��ƐƚĂĚŽ͕�Ğ�Ž�ƉƌŝǀĂĚŽ͕�ƌĞƉƌĞƐĞŶƚĂĚŽ�ƉĞůŽ�ĞŵƉƌĞƐĂƌŝĂĚŽ�Ğŵ�ŐĞƌĂů͘
//͘� ��Ž�ƚĞƌĐĞŝƌŽ�ƐĞƚŽƌ�ƋƵĞ�ǀŝĂďŝůŝnjĂ�Ž�ĂĐĞƐƐŽ�ĚĂ�ƐŽĐŝĞĚĂĚĞ�ă�ĞĚƵĐĂĕĆŽ�Ğ�ĂŽ�ĚĞƐĞŶǀŽůǀŝŵĞŶƚŽ�ĚĞ�ƚĠĐŶŝĐĂƐ�
ŝŶĚƵƐƚƌŝĂŝƐ͕�ĞĐŽŶƀŵŝĐĂƐ͕�ĮŶĂŶĐĞŝƌĂƐ͕�ƉŽůşƟĐĂƐ�Ğ�ĂŵďŝĞŶƚĂŝƐ͘
///͘� ��ƌĞƐƉŽŶƐĂďŝůŝĚĂĚĞ�ƐŽĐŝĂů�ƚĞŵ�ƌĞƐƵůƚĂĚŽ�ŶĂ�ĂůƚĞƌĂĕĆŽ�ĚŽ�ƉĞƌĮů�ĐŽƌƉŽƌĂƟǀŽ�Ğ�ĞƐƚƌĂƚĠŐŝĐŽ�ĚĂƐ�ĞŵƉƌĞƐĂƐ͕�
ƋƵĞ�ƚġŵ�ƌĞĨŽƌŵƵůĂĚŽ�Ă�ĐƵůƚƵƌĂ�Ğ�Ă�ĮůŽƐŽĮĂ�ƋƵĞ�ŽƌŝĞŶƚĂŵ�ĂƐ�ĂĕƁĞƐ�ŝŶƐƟƚƵĐŝŽŶĂŝƐ͘
�ƐƚĄ�ĐŽƌƌĞƚŽ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /͕�ĂƉĞŶĂƐ͘
B //͕�ĂƉĞŶĂƐ͘
C /�Ğ�///͕�ĂƉĞŶĂƐ͘
D //�Ğ�///͕�ĂƉĞŶĂƐ͘
E /͕�//�Ğ�///͘
*R1220144*
5
�E'�E,�Z/���/s/>
QUESTÃO 03
WeŐĂĚĂ�ĞĐŽůſŐŝĐĂ�Ġ�Ƶŵ� ŝŶĚŝĐĂĚŽƌ�ƋƵĞ�ĞƐƟŵĂ�Ă�ĚĞŵĂŶĚĂ�ŽƵ�Ă� ĞdžŝŐġŶĐŝĂ�ŚƵŵĂŶĂ� ƐŽďƌĞ�Ž�ŵĞŝŽ� ĂŵďŝĞŶƚĞ͕�
ĐŽŶƐŝĚĞƌĂŶĚŽͲƐĞ�Ž�ŶşǀĞů�ĚĞ�ĂƟǀŝĚĂĚĞ�ƉĂƌĂ�ĂƚĞŶĚĞƌ�ĂŽ�ƉĂĚƌĆŽ�ĚĞ�ĐŽŶƐƵŵŽ�ĂƚƵĂů�;ĐŽŵ�Ă�ƚĞĐŶŽůŽŐŝĂ�ĂƚƵĂůͿ͘��͕�ĚĞ�
ĐĞƌƚĂ�ĨŽƌŵĂ͕�ƵŵĂ�ŵĂŶĞŝƌĂ�ĚĞ�ŵĞĚŝƌ�Ž�ŇƵdžŽ�ĚĞ�ĂƟǀŽƐ�ĂŵďŝĞŶƚĂŝƐ�ĚĞ�ƋƵĞ�ŶĞĐĞƐƐŝƚĂŵŽƐ�ƉĂƌĂ�ƐƵƐƚĞŶƚĂƌ�ŶŽƐƐŽ�ƉĂĚƌĆŽ�
ĚĞ�ĐŽŶƐƵŵŽ͘��ƐƐĞ�ŝŶĚŝĐĂĚŽƌ�Ġ�ŵĞĚŝĚŽ�Ğŵ�ŚĞĐƚĂƌĞ�ŐůŽďĂů͕�ŵĞĚŝĚĂ�ĚĞ�ĄƌĞĂ�ĞƋƵŝǀĂůĞŶƚĞ�Ă�ϭϬ�ϬϬϬ�ŵϸ͘�EĂ�ŵĞĚŝĚĂ�
ŚĞĐƚĂƌĞ�ŐůŽďĂů͕�ƐĆŽ�ĐŽŶƐŝĚĞƌĂĚĂƐ�ĂƉĞŶĂƐ�ĂƐ�ĄƌĞĂƐ�ƉƌŽĚƵƟǀĂƐ�ĚŽ�ƉůĂŶĞƚĂ͘���ďŝŽĐĂƉĂĐŝĚĂĚĞ�ĚŽ�ƉůĂŶĞƚĂ͕�ŝŶĚŝĐĂĚŽƌ�
ƋƵĞ�ƌĞŇĞƚĞ�Ă�ƌĞŐĞŶĞƌĂĕĆŽ�;ŶĂƚƵƌĂůͿ�ĚŽ�ŵĞŝŽ�ĂŵďŝĞŶƚĞ͕�Ġ�ŵĞĚŝĚĂ�ƚĂŵďĠŵ�Ğŵ�ŚĞĐƚĂƌĞ�ŐůŽďĂů͘�hŵĂ�ƌĂnjĆŽ�ĞŶƚƌĞ�
ƉĞŐĂĚĂ�ĞĐŽůſŐŝĐĂ�Ğ�ďŝŽĐĂƉĂĐŝĚĂĚĞ�ĚŽ�ƉůĂŶĞƚĂ�ŝŐƵĂů�Ă�ϭ�ŝŶĚŝĐĂ�ƋƵĞ�Ă�ĞdžŝŐġŶĐŝĂ�ŚƵŵĂŶĂ�ƐŽďƌĞ�ŽƐ�ƌĞĐƵƌƐŽƐ�ĚŽ�
ŵĞŝŽ�ĂŵďŝĞŶƚĞ�Ġ�ƌĞƉŽƐƚĂ�ŶĂ�ƐƵĂ�ƚŽƚĂůŝĚĂĚĞ�ƉĞůŽ�ƉůĂŶĞƚĂ͕�ĚĞǀŝĚŽ�ă�ĐĂƉĂĐŝĚĂĚĞ�ŶĂƚƵƌĂů�ĚĞ�ƌĞŐĞŶĞƌĂĕĆŽ͘�^Ğ�ĨŽƌ�
ŵĂŝŽƌ�ƋƵĞ�ϭ͕�Ă�ƌĂnjĆŽ�ŝŶĚŝĐĂ�ƋƵĞ�Ă�ĚĞŵĂŶĚĂ�ŚƵŵĂŶĂ�Ġ�ƐƵƉĞƌŝŽƌ�ă�ĐĂƉĂĐŝĚĂĚĞ�ĚŽ�ƉůĂŶĞƚĂ�ĚĞ�ƐĞ�ƌĞĐƵƉĞƌĂƌ�Ğ͕�ƐĞ�ĨŽƌ�
ŵĞŶŽƌ�ƋƵĞ�ϭ͕�ŝŶĚŝĐĂ�ƋƵĞ�Ž�ƉůĂŶĞƚĂ�ƐĞ�ƌĞĐƵƉĞƌĂ�ŵĂŝƐ�ƌĂƉŝĚĂŵĞŶƚĞ͘
Razão entre a pegada ecológica
e a biocapacidade do planeta1.60
1.50
1.40
1.30
1.20
1.10
1.00
0.90
0.80
0.70
0.60
19
61
19
65
19
70
19
75
19
80
19
85
19
90
19
95
20
00
20
05
20
08
0.74
0.85
1.00
1.08
1.16 1.14
1.25 1.27
1.30
1.45
1.52
�ŝƐƉŽŶşǀĞů�Ğŵ͗фŚƩƉ͗ͬͬĨŝŶĂŶĐĂƐĨĂĐĞŝƐ͘ǁŽƌĚƉƌĞƐƐ͘ĐŽŵх͘��ĐĞƐƐŽ�Ğŵ͗�ϭϬ�ĂŐŽ͘�ϮϬϭϰ͘
K�ĂƵŵĞŶƚŽ�ĚĂ�ƌĂnjĆŽ�ĞŶƚƌĞ�ƉĞŐĂĚĂ�ĞĐŽůſŐŝĐĂ�Ğ�ďŝŽĐĂƉĂĐŝĚĂĚĞ�ƌĞƉƌĞƐĞŶƚĂĚŽ�ŶŽ�ŐƌĄĨŝĐŽ�ĞǀŝĚĞŶĐŝĂ
A ƌĞĚƵĕĆŽ�ĚĂƐ�ĄƌĞĂƐ�ĚĞ�ƉůĂŶƚŝŽ�ĚŽ�ƉůĂŶĞƚĂ�ƉĂƌĂ�ǀĂůŽƌĞƐ�ŝŶĨĞƌŝŽƌĞƐ�Ă�ϭϬ�ϬϬϬ�ŵ2�ĚĞǀŝĚŽ�ĂŽ�ƉĂĚƌĆŽ�ĂƚƵĂů�
ĚĞ�ĐŽŶƐƵŵŽ�ĚĞ�ƉƌŽĚƵƚŽƐ�ĂŐƌşĐŽůĂƐ͘
B ĂƵŵĞŶƚŽ�ŐƌĂĚƵĂů�ĚĂ�ĐĂƉĂĐŝĚĂĚĞ�ŶĂƚƵƌĂů�ĚĞ�ƌĞŐĞŶĞƌĂĕĆŽ�ĚŽ�ƉůĂŶĞƚĂ�Ğŵ�ƌĞůĂĕĆŽ�ăƐ�ĞdžŝŐġŶĐŝĂƐ�ŚƵŵĂŶĂƐ͘
C ƌĞƉŽƐŝĕĆŽ�ĚŽƐ�ƌĞĐƵƌƐŽƐ�ŶĂƚƵƌĂŝƐ�ƉĞůŽ�ƉůĂŶĞƚĂ�Ğŵ�ƐƵĂ�ƚŽƚĂůŝĚĂĚĞ�ĨƌĞŶƚĞ�ăƐ�ĞdžŝŐġŶĐŝĂƐ�ŚƵŵĂŶĂƐ͘
D ŝŶĐĂƉĂĐŝĚĂĚĞ�ĚĞ�ƌĞŐĞŶĞƌĂĕĆŽ�ŶĂƚƵƌĂů�ĚŽ�ƉůĂŶĞƚĂ�ĂŽ�ůŽŶŐŽ�ĚŽ�ƉĞƌşŽĚŽ�ϭϵϲϭͲϮϬϬϴ͘
E ƚĞŶĚġŶĐŝĂ�Ă�ĚĞƐĞƋƵŝůşďƌŝŽ�ŐƌĂĚƵĂů�Ğ�ĐŽŶƚşŶƵŽ�ĚĂ�ƐƵƐƚĞŶƚĂďŝůŝĚĂĚĞ�ĚŽ�ƉůĂŶĞƚĂ͘
*R1220145*
6
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QUESTÃO 04
/ŵƉŽƌƚĂŶƚĞ�website� ĚĞ� ƌĞůĂĐŝŽŶĂŵĞŶƚŽ� ĐĂŵŝŶŚĂ� ƉĂƌĂ�
ϳϬϬ�ŵŝůŚƁĞƐ�ĚĞ�ƵƐƵĄƌŝŽƐ͘�KƵƚƌŽ�ĐŽŶŚĞĐŝĚŽ�ƐĞƌǀŝĚŽƌ�ĚĞ�
microblogging�ĂĐƵŵƵůĂ�ϭϰϬ�ŵŝůŚƁĞƐ�ĚĞ�ŵĞŶƐĂŐĞŶƐ�ĂŽ�
ĚŝĂ͘���ĐŽŵŽ�ƐĞ�ϳϱй�ĚĂ�ƉŽƉƵůĂĕĆŽ�ďƌĂƐŝůĞŝƌĂ�ƉŽƐƚĂƐƐĞ�Ƶŵ�
ĐŽŵĞŶƚĄƌŝŽ�Ă�ĐĂĚĂ�Ϯϰ�ŚŽƌĂƐ͘��Žŵ�ĂƐ�ƌĞĚĞƐ�ƐŽĐŝĂŝƐ�ĐĂĚĂ�
ǀĞnj�ŵĂŝƐ�ƉƌĞƐĞŶƚĞƐ�ŶŽ�ĚŝĂ�Ă�ĚŝĂ�ĚĂƐ�ƉĞƐƐŽĂƐ͕�Ġ�ŝŶĞǀŝƚĄǀĞů�
ƋƵĞ� ŵƵŝƚĂ� ŐĞŶƚĞ� ĞŶĐŽŶƚƌĞ� ŶĞůĂƐ� ƵŵĂ� ŵĂŶĞŝƌĂ� ĨĄĐŝů͕�
ƌĄƉŝĚĂ�Ğ�ĂďƌĂŶŐĞŶƚĞ�ĚĞ�ƐĞ�ŵĂŶŝĨĞƐƚĂƌ͘
hŵĂ�ƌĞĚĞ�ƐŽĐŝĂů�ĚĞ�ƌĞĐƌƵƚĂŵĞŶƚŽ�ƌĞǀĞůŽƵ�ƋƵĞ�ϵϮй�
ĚĂƐ� ĞŵƉƌĞƐĂƐ� ĂŵĞƌŝĐĂŶĂƐ� ũĄ� ƵƐĂƌĂŵ� ŽƵ� ƉůĂŶĞũĂŵ�
ƵƐĂƌ� ĂƐ� ƌĞĚĞƐ� ƐŽĐŝĂŝƐ� ŶŽ� ƉƌŽĐĞƐƐŽ� ĚĞ� ĐŽŶƚƌĂƚĂĕĆŽ͘�
�ĞƐƚĂƐ͕� ϲϬй� ĂƐƐƵŵĞŵ� ƋƵĞ� ďŝƐďŝůŚŽƚĂŵ� Ă� ǀŝĚĂ� ĚŽƐ�
ĐĂŶĚŝĚĂƚŽƐ�Ğŵ�websites�ĚĞ�ƌĞĚĞ�ƐŽĐŝĂů͘
ZĞĂůŝnjĂĚĂ� ƉŽƌ� ƵŵĂ� ĂŐġŶĐŝĂ� ĚĞ� ƌĞĐƌƵƚĂŵĞŶƚŽ͕� ƵŵĂ�
ƉĞƐƋƵŝƐĂ� ĐŽŵ� Ϯ� ϱϬϬ� ĞdžĞĐƵƟǀŽƐ� ďƌĂƐŝůĞŝƌŽƐ� ŵŽƐƚƌŽƵ�
ƋƵĞ�ϰϰй�ĚĞƐĐůĂƐƐŝĮĐĂƌŝĂŵ͕�ŶŽ�ƉƌŽĐĞƐƐŽ�ĚĞ�ƐĞůĞĕĆŽ͕�Ƶŵ�
ĐĂŶĚŝĚĂƚŽ�ƉŽƌ�ƐĞƵ�ĐŽŵƉŽƌƚĂŵĞŶƚŽ�Ğŵ�ƵŵĂ�ƌĞĚĞ�ƐŽĐŝĂů͘
DƵŝƚĂƐ� ƉĞƐƐŽĂƐ� ũĄ� ĞŶĨƌĞŶƚĂƌĂŵ� ƉƌŽďůĞŵĂƐ� ƉŽƌ�
ĐĂƵƐĂ� ĚĞ� ŝŶĨŽƌŵĂĕƁĞƐ� online͕� ƚĂŶƚŽ� ŶŽ� ĐĂŵƉŽ�
ƉĞƐƐŽĂů� ƋƵĂŶƚŽ� ŶŽ� ƉƌŽĮƐƐŝŽŶĂů͘� �ůŐƵŵĂƐ� ĞŵƉƌĞƐĂƐ�
Ğ� ŝŶƐƟƚƵŝĕƁĞƐ͕� ŝŶĐůƵƐŝǀĞ͕� ũĄ� ĂĚŽƚĂƌĂŵ� ĐĂƌƟůŚĂƐ� ĚĞ�
ĐŽŶĚƵƚĂ�Ğŵ�ƌĞĚĞƐ�ƐŽĐŝĂŝƐ͘
WK>KE/͕�'͘�K�ůĂĚŽ�ƉĞƌŝŐŽƐŽ�ĚĂƐ�ƌĞĚĞƐ�ƐŽĐŝĂŝƐ͘�ZĞǀŝƐƚĂ�/E&K͕�
Ɖ͘�ϳϬ�Ͳ�ϳϱ͕�ũƵůŚŽ�ϮϬϭϭ�;ĂĚĂƉƚĂĚŽͿ͘
�Ğ�ĂĐŽƌĚŽ�ĐŽŵ�Ž�ƚĞdžƚŽ͕
A ŵĂŝƐ�ĚĂ�ŵĞƚĂĚĞ�ĚĂƐ�ĞŵƉƌĞƐĂƐ�ĂŵĞƌŝĐĂŶĂƐ�ĞǀŝƚĂ�
ĂĐĞƐƐĂƌ�websites ĚĞ�ƌĞĚĞƐ�ƐŽĐŝĂŝƐ�ĚĞ�ĐĂŶĚŝĚĂƚŽƐ�
Ă�ĞŵƉƌĞŐŽ͘
B ĞŵƉƌĞƐĂƐ� Ğ� ŝŶƐƟƚƵŝĕƁĞƐ� ĞƐƚĆŽ� ĂƚĞŶƚĂƐ� ĂŽ�
ĐŽŵƉŽƌƚĂŵĞŶƚŽ�ĚĞ� ƐĞƵƐ� ĨƵŶĐŝŽŶĄƌŝŽƐ� Ğŵ�websites
ĚĞ�ƌĞĚĞƐ�ƐŽĐŝĂŝƐ͘
C Ă� ĐŽŵƉůĞdžŝĚĂĚĞ� ĚŽƐ� ƉƌŽĐĞĚŝŵĞŶƚŽƐ� ĚĞ� ƌĂƐƚƌĞŝŽ� Ğ�
ŵŽŶŝƚŽƌĂŵĞŶƚŽ� ĚĞ� ƵŵĂ� ƌĞĚĞ� ƐŽĐŝĂů� ŝŵƉĞĚĞ� ƋƵĞ�
ĂƐ� ĞŵƉƌĞƐĂƐ� ƚĞŶŚĂŵ� ĂĐĞƐƐŽ� ĂŽ� ƉĞƌĮů� ĚĞ� ƐĞƵƐ�
ĨƵŶĐŝŽŶĄƌŝŽƐ͘
D ĂƐ� ĐĂƌƟůŚĂƐ� ĚĞ� ĐŽŶĚƵƚĂ� ĂĚŽƚĂĚĂƐ� ŶĂƐ� ĞŵƉƌĞƐĂƐ�
ƉƌŽşďĞŵ�Ž�ƵƐŽ�ĚĞ�ƌĞĚĞƐ�ƐŽĐŝĂŝƐ�ƉĞůŽƐ�ĨƵŶĐŝŽŶĄƌŝŽƐ �͕Ğŵ�
ǀĞnj�ĚĞ�ƌĞĐŽŵĞŶĚĂƌ�ŵƵĚĂŶĕĂƐ�ĚĞ�ĐŽŵƉŽƌƚĂŵĞŶƚŽ͘
E Ă� ŵĂŝŽƌŝĂ� ĚŽƐ� ĞdžĞĐƵƟǀŽƐ� ďƌĂƐŝůĞŝƌŽƐ� ƵƟůŝnjĂƌŝĂ�
ŝŶĨŽƌŵĂĕƁĞƐ� ŽďƟĚĂƐ� Ğŵ� websites ĚĞ� ƌĞĚĞƐ�
ƐŽĐŝĂŝƐ͕� ƉĂƌĂ� ĚĞƐĐůĂƐƐŝĮĐĂƌ� Ƶŵ� ĐĂŶĚŝĚĂƚŽ� Ğŵ�
ƉƌŽĐĞƐƐŽ�ĚĞ�ƐĞůĞĕĆŽ͘
QUESTÃO 05
hŵĂ� ŝĚĞŝĂ� Ğ� Ƶŵ� ĂƉĂƌĞůŚŽ� ƐŝŵƉůĞƐ� ĚĞǀĞŵ͕� Ğŵ� ďƌĞǀĞ͕�
ĂũƵĚĂƌ�Ă�ƐĂůǀĂƌ�ǀŝĚĂƐ�ĚĞ�ƌĞĐĠŵͲŶĂƐĐŝĚŽƐ͘�/ĚĞĂůŝnjĂĚŽ�ƉĞůŽ�
ŵĞĐąŶŝĐŽ�ĂƌŐĞŶƟŶŽ�:ŽƌŐĞ�KĚſŶ͕�Ž�ĚŝƐƉŽƐŝƟǀŽ�ƋƵĞ�ůĞǀĂ�ƐĞƵ�
ƐŽďƌĞŶŽŵĞ�ĚĞƐĞŶƚĂůĂ�Ƶŵ�ďĞďġ�ƉƌĞƐŽ�ŶŽ�ĐĂŶĂů�ǀĂŐŝŶĂů�ͷ
Ğ͕�ƉŽƌ�ŵĂŝƐ�ŝŶƵƐŝƚĂĚŽ�ƋƵĞ�ƉĂƌĞĕĂ͕�ĨŽŝ�ĐƌŝĂĚŽ�ĐŽŵ�ďĂƐĞ�Ğŵ�
ƚĠĐŶŝĐĂ�ƵƐĂĚĂ�ƉĂƌĂ�ƌĞŵŽǀĞƌ�ƌŽůŚĂƐ�ĚĞ�ĚĞŶƚƌŽ�ĚĞ�ŐĂƌƌĂĨĂƐ͘�
K�ĂƉĂƌĞůŚŽ�ĐŽŶƐŝƐƚĞ�Ğŵ�ƵŵĂ�ďŽůƐĂ�ƉůĄƐƟĐĂ�ŝŶƐĞƌŝĚĂ�Ğŵ�
ƵŵĂ�ƉƌŽƚĞĕĆŽ�ĨĞŝƚĂ�ĚŽ�ŵĞƐŵŽ�ŵĂƚĞƌŝĂů�Ğ�ƋƵĞ�ĞŶǀŽůǀĞ�Ă�
ĐĂďĞĕĂ� ĚĂ� ĐƌŝĂŶĕĂ͘� �ƐƚĂŶĚŽ�Ž� ĚŝƐƉŽƐŝƟǀŽ� ĚĞǀŝĚĂŵĞŶƚĞ�
ƉŽƐŝĐŝŽŶĂĚŽ͕�Ă�ďŽůƐĂ�Ġ� ŝŶŇĂĚĂ�ƉĂƌĂ�ĂĚĞƌŝƌ�ă�ĐĂďĞĕĂ�ĚŽ�
ďĞďġ�Ğ�ƐĞƌ�ƉƵdžĂĚĂ�ĂŽƐ�ƉŽƵĐŽƐ͕�ĚĞ�ĨŽƌŵĂ�Ă�ŶĆŽ�ŵĂĐŚƵĐĄͲ
ůŽ͘�K�ŵĠƚŽĚŽ�ĚĞ�KĚſŶ�ĚĞǀĞ�ƐƵďƐƟƚƵŝƌ�ŽƵƚƌŽƐ�ũĄ�ĂƌĐĂŝĐŽƐ͕�
ĐŽŵŽ�Ž�ĚĞ�ĨſƌĐĞƉƐ�Ğ�Ž�ĚĞ�ƚƵďŽƐ�ĚĞ�ƐƵĐĕĆŽ͕�ŽƐ�ƋƵĂŝƐ͕�ƐĞ�
ƵƐĂĚŽƐ� ƉŽƌ� ŵĆŽƐ� ŵĂůƚƌĞŝŶĂĚĂƐ͕� ƉŽĚĞŵ� ĐŽŵƉƌŽŵĞƚĞƌ�
Ă�ǀŝĚĂ�ĚŽ�ďĞďġ͕�Ž�ƋƵĞ͕�ƐĞŐƵŶĚŽ�ĞƐƉĞĐŝĂůŝƐƚĂƐ͕�ŶĆŽ�ĚĞǀĞ�
ĂĐŽŶƚĞĐĞƌ�ĐŽŵ�Ž�ŶŽǀŽ�ĞƋƵŝƉĂŵĞŶƚŽ͘
^ĞŐƵŶĚŽ�Ž�dŚĞ�EĞǁ�zŽƌŬ�dŝŵĞƐ͕�Ă�ŝĚĞŝĂ�ƌĞĐĞďĞƵ�ĂƉŽŝŽ�
ĚĂ�KƌŐĂŶŝnjĂĕĆŽ�DƵŶĚŝĂů�ĚĞ�^ĂƷĚĞ�;KD^Ϳ�Ğ� ũĄ� ĨŽŝ�ĂƚĠ�
ůŝĐĞŶĐŝĂĚĂ� ƉŽƌ� ƵŵĂ� ĞŵƉƌĞƐĂ� ŶŽƌƚĞͲĂŵĞƌŝĐĂŶĂ� ĚĞ�
ƚĞĐŶŽůŽŐŝĂ�ŵĠĚŝĐĂ͘�EĆŽ�ƐĞ�ƐĂďĞ�ƋƵĂŶĚŽ�Ž�ĞƋƵŝƉĂŵĞŶƚŽ�
ĐŽŵĞĕĂƌĄ�Ă�ƐĞƌ�ƉƌŽĚƵnjŝĚŽ�ŶĞŵ�Ž�ƉƌĞĕŽ�Ă�ƐĞƌ�ĐŽďƌĂĚŽ͕�
ŵĂƐ�ƉƌĞƐƵŵĞͲƐĞ�ƋƵĞ�ĞůĞ�ŶĆŽ�ƉĂƐƐĂƌĄ�ĚĞ�ϱϬ�ĚſůĂƌĞƐ͕�
ĐŽŵ�ƌĞĚƵĕĆŽ�ĚŽ�ƉƌĞĕŽ�Ğŵ�ƉĂşƐĞƐ�ŵĂŝƐ�ƉŽďƌĞƐ͘
'h^D�K͕�'͘��ƉĂƌĞůŚŽ�ĚĞǀĞ�ĨĂĐŝůŝƚĂƌ�ƉĂƌƚŽƐ�Ğŵ�ƐŝƚƵĂĕƁĞƐ�ĚĞ�
emergência͘��ŝƐƉŽŶşǀĞů�Ğŵ͗�фŚƩƉ͗ͬͬĞdžĂŵĞ͘Ăďƌŝů͘ĐŽŵ͘ďƌх͘�
�ĐĞƐƐŽ�Ğŵ͗�ϭϴ�ŶŽǀ͘ �ϮϬϭϯ�;ĂĚĂƉƚĂĚŽͿ͘
�Žŵ�ƌĞůĂĕĆŽ�ĂŽ�ƚĞdžƚŽ�ĂĐŝŵĂ͕�ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� �� ƵƟůŝnjĂĕĆŽ� ĚŽ� ŵĠƚŽĚŽ� ĚĞ� KĚſŶ� ƉŽĚĞƌĄ�
ƌĞĚƵnjŝƌ�Ă� ƚĂdžĂ�ĚĞ�ŵŽƌƚĂůŝĚĂĚĞ�ĚĞ�ĐƌŝĂŶĕĂƐ�ĂŽ�
ŶĂƐĐĞƌ͕ �ŵĞƐŵŽ�Ğŵ�ƉĂşƐĞƐ�ƉŽďƌĞƐ͘
//͘� WŽƌ� ƐĞƌ� ƵŵĂ� ǀĂƌŝĂŶƚĞ� ĚŽƐ� ƚƵďŽƐ� ĚĞ� ƐƵĐĕĆŽ͕� Ž�
ĂƉĂƌĞůŚŽ�ĚĞƐĞŶǀŽůǀŝĚŽ�ƉŽƌ�KĚſŶ�Ġ�ƌĞƐƵůƚĂĚŽ�ĚĞ�
ĂƉĞƌĨĞŝĕŽĂŵĞŶƚŽ�ĚĞ�ĞƋƵŝƉĂŵĞŶƚŽƐ�ĚĞ�ƉĂƌƚŽ͘
///͘� WŽƌ�ƐĞƵ�ƵƐŽ�ƐŝŵƉůĞƐ͕�Ž�ĚŝƐƉŽƐŝƟǀŽ�ĚĞ�MĚŽŶ�ƚĞŵ�
ŐƌĂŶĚĞ�ƉŽƚĞŶĐŝĂů�ĚĞ�ƐĞƌ�ƵƐĂĚŽ�Ğŵ�ƉĂşƐĞƐ�ŽŶĚĞ�
Ž�ƉĂƌƚŽ�Ġ�ƵƐƵĂůŵĞŶƚĞ�ƌĞĂůŝnjĂĚŽ�ƉŽƌ�ƉĂƌƚĞŝƌĂƐ͘
/s͘ � �� ƉŽƐƐŝďŝůŝĚĂĚĞ� ĚĞ͕� Ğŵ� ƉĂşƐĞƐ� ŵĂŝƐ� ƉŽďƌĞƐ͕�
ƌĞĚƵnjŝƌͲƐĞ� Ž� ƉƌĞĕŽ� ĚŽ� ĂƉĂƌĞůŚŽ� ŝĚĞĂůŝnjĂĚŽ�
ƉŽƌ� KĚſŶ� ĞǀŝĚĞŶĐŝĂ� ƉƌĞŽĐƵƉĂĕĆŽ� ĐŽŵ� Ă�
ƌĞƐƉŽŶƐĂďŝůŝĚĂĚĞ�ƐŽĐŝĂů͘
��ĐŽƌƌĞƚŽ�ĂƉĞŶĂƐ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /�Ğ�//͘
B /�Ğ�/s͘
C //�Ğ�///͘
D /͕�///�Ğ�/s͘
E //͕�///�Ğ�/s͘
*R1220146*
7
�E'�E,�Z/���/s/>
QUESTÃO 06
�Ɛ�ŵƵůŚĞƌĞƐ�ĨƌĞƋƵĞŶƚĂŵ�ŵĂŝƐ�ŽƐ�ďĂŶĐŽƐ�ĞƐĐŽůĂƌĞƐ�ƋƵĞ�ŽƐ�ŚŽŵĞŶƐ͕�ĚŝǀŝĚĞŵ�ƐĞƵ�ƚĞŵƉŽ�ĞŶƚƌĞ�Ž�ƚƌĂďĂůŚŽ�Ğ�ŽƐ�
ĐƵŝĚĂĚŽƐ�ĐŽŵ�Ă�ĐĂƐĂ͕�ŐĞƌĂŵ�ƌĞŶĚĂ�ĨĂŵŝůŝĂƌ͕ �ƉŽƌĠŵ�ĐŽŶƟŶƵĂŵ�ŐĂŶŚĂŶĚŽ�ŵĞŶŽƐ�Ğ�ƚƌĂďĂůŚĂŶĚŽ�ŵĂŝƐ�ƋƵĞ�ŽƐ�
ŚŽŵĞŶƐ͘
�Ɛ�ƉŽůşƟĐĂƐ�ĚĞ�ďĞŶĞİĐŝŽƐ�ŝŵƉůĞŵĞŶƚĂĚĂƐ�ƉŽƌ�ĞŵƉƌĞƐĂƐ�ƉƌĞŽĐƵƉĂĚĂƐ�Ğŵ�ĨĂĐŝůŝƚĂƌ�Ă�ǀŝĚĂ�ĚĂƐ�ĨƵŶĐŝŽŶĄƌŝĂƐ�ƋƵĞ�
ƚġŵ�ĐƌŝĂŶĕĂ�ƉĞƋƵĞŶĂ�Ğŵ�ĐĂƐĂ�ũĄ�ĞƐƚĆŽ�ĐŚĞŐĂŶĚŽ�ĂŽ��ƌĂƐŝů͘��ĐŽƌĚŽƐ�ĚĞ�ŚŽƌĄƌŝŽƐ�ŇĞdžşǀĞŝƐ͕�ƉƌŽŐƌĂŵĂƐ�ĐŽŵŽ�
ĂƵdžşůŝŽͲĐƌĞĐŚĞ͕�ĂƵdžşůŝŽͲďĂďĄ�Ğ�ĂƵdžşůŝŽͲĂŵĂŵĞŶƚĂĕĆŽ�ƐĆŽ�ĂůŐƵŶƐ�ĚŽƐ�ďĞŶĞİĐŝŽƐ�ŽĨĞƌĞĐŝĚŽƐ͘
�ŝƐƉŽŶşǀĞů�Ğŵ͗фŚƩƉ͗ͬͬǁǁǁϭ͘ĨŽůŚĂ͘ƵŽů͘ĐŽŵ͘ďƌх͘��ĐĞƐƐŽ�Ğŵ͗�ϯϬ�ũƵů͘�ϮϬϭϯ�;ĂĚĂƉƚĂĚŽͿ͘
30,3 36,5
10,1 44,4
31,7 34
15,5 41,4
JORNADA MÉDIA TOTAL DE TRABALHO POR
SEMANA NO BRASIL - (EM HORAS)
mãe com filhos
pai com filhos
mulher chefe de casal
com filhos
homem chefe de casal
com filhos
mulher cônjuge em
casalcom filhos
tempo médio por semana dedicado aos afazeres domésticos
0 10 20 30 40 50 60 70
tempo médio por semana dedicado ao trabalho remunerado
25,9 36,8
�ŝƐƉŽŶşǀĞů�Ğŵ͗�фŚƩƉ͗ͬͬŝƉĞĂ͘ŐŽǀ͘ ďƌх͘��ĐĞƐƐŽ�Ğŵ͗�ϯϬ�ũƵů͘�ϮϬϭϯ͘�
�ŽŶƐŝĚĞƌĂŶĚŽ�Ž�ƚĞdžƚŽ�Ğ�Ž�ŐƌĄĮĐŽ͕�ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� K�ƐŽŵĂƚſƌŝŽ�ĚŽ�ƚĞŵƉŽ�ĚĞĚŝĐĂĚŽ�ƉĞůĂƐ�ŵƵůŚĞƌĞƐ�ĂŽƐ�ĂĨĂnjĞƌĞƐ�ĚŽŵĠƐƟĐŽƐ�Ğ�ĂŽ�ƚƌĂďĂůŚŽ�ƌĞŵƵŶĞƌĂĚŽ�
Ġ�ƐƵƉĞƌŝŽƌ�ĂŽ�ĚĞĚŝĐĂĚŽ�ƉĞůŽƐ�ŚŽŵĞŶƐ͕�ŝŶĚĞƉĞŶĚĞŶƚĞŵĞŶƚĞ�ĚŽ�ĨŽƌŵĂƚŽ�ĚĂ�ĨĂŵşůŝĂ͘
//͘� K�ĨƌĂŐŵĞŶƚŽ�ĚĞ�ƚĞdžƚŽ�Ğ�ŽƐ�ĚĂĚŽƐ�ĚŽ�ŐƌĄĮĐŽ�ĂƉŽŶƚĂŵ�ƉĂƌĂ�Ă�ŶĞĐĞƐƐŝĚĂĚĞ�ĚĞ�ĐƌŝĂĕĆŽ�ĚĞ�ƉŽůşƟĐĂƐ�ƋƵĞ�
ƉƌŽŵŽǀĂŵ�Ă�ŝŐƵĂůĚĂĚĞ�ĞŶƚƌĞ�ŽƐ�ŐġŶĞƌŽƐ�ŶŽ�ƋƵĞ�ĐŽŶĐĞƌŶĞ͕�ƉŽƌ�ĞdžĞŵƉůŽ͕�Ă�ƚĞŵƉŽ�ŵĠĚŝŽ�ĚĞĚŝĐĂĚŽ�
ĂŽ�ƚƌĂďĂůŚŽ�Ğ�ƌĞŵƵŶĞƌĂĕĆŽ�ƌĞĐĞďŝĚĂ͘�
///͘� EŽ� ĨƌĂŐŵĞŶƚŽ� ĚĞ� ƌĞƉŽƌƚĂŐĞŵ� ĂƉƌĞƐĞŶƚĂĚŽ͕� ƌĞƐƐĂůƚĂͲƐĞ� Ă� ĚŝĨĞƌĞŶĕĂ� ĞŶƚƌĞ� Ž� ƚĞŵƉŽ� ĚĞĚŝĐĂĚŽ� ƉŽƌ�
ŵƵůŚĞƌĞƐ�Ğ�ŚŽŵĞŶƐ�ĂŽ�ƚƌĂďĂůŚŽ�ƌĞŵƵŶĞƌĂĚŽ͕�ƐĞŵ�ĂůƵƐĆŽ�ĂŽƐ�ĂĨĂnjĞƌĞƐ�ĚŽŵĠƐƟĐŽƐ͘�
��ĐŽƌƌĞƚŽ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /͕�ĂƉĞŶĂƐ͘
B ///͕�ĂƉĞŶĂƐ͘
C /�Ğ�//͕�ĂƉĞŶĂƐ͘
D //�Ğ�///͕�ĂƉĞŶĂƐ͘
E /͕�//�Ğ�///͘
*R1220147*
ϴ
�E'�E,�Z/���/s/>
QUESTÃO 07
K� ƋƵĂĚƌŽ� Ă� ƐĞŐƵŝƌ� ĂƉƌĞƐĞŶƚĂ� Ă� ƉƌŽƉŽƌĕĆŽ� ;йͿ�
ĚĞ� ƚƌĂďĂůŚĂĚŽƌĞƐ� ƉŽƌ� ĨĂŝdžĂ� ĚĞ� ƚĞŵƉŽ� ŐĂƐƚŽ� ŶŽ�
ĚĞƐůŽĐĂŵĞŶƚŽ� ĐĂƐĂͲƚƌĂďĂůŚŽ͕� ŶŽ� �ƌĂƐŝů� Ğ� Ğŵ� ƚƌġƐ�
ĐŝĚĂĚĞƐ�ďƌĂƐŝůĞŝƌĂƐ͘
Tempo de 
deslocamento Brasil
Rio de 
Janeiro
São
Paulo �ƵƌŝƟďĂ�
Até cinco minutos ϭϮ͕ϳϬ ϱ͕ϴϬ ϱ͕ϭϬ ϳ͕ϴϬ
De seis minutos 
até meia hora ϱϮ͕ϮϬ ϯϮ͕ϭϬ ϯϭ͕ϲϬ ϰϱ͕ϴϬ
Mais de meia hora 
até uma hora Ϯϯ͕ϲϬ ϯϯ͕ϱϬ ϯϰ͕ϲϬ ϯϮ͕ϰϬ
Mais de uma hora 
até duas horas ϵ͕ϴϬ Ϯϯ͕ϮϬ Ϯϯ͕ϯϬ ϭϮ͕ϵϬ
Mais de duas 
horas ϭ͕ϴϬ ϱ͕ϱϬ ϱ͕ϯϬ ϭ͕ϮϬ
��E^K�ϮϬϭϬͬ/�'��;ĂĚĂƉƚĂĚŽͿ͘�
�Žŵ� ďĂƐĞ� ŶŽƐ� ĚĂĚŽƐ� ĂƉƌĞƐĞŶƚĂĚŽƐ� Ğ� ĐŽŶƐŝĚĞƌĂŶĚŽ� Ă�
ĚŝƐƚƌŝďƵŝĕĆŽ� ĚĂ� ƉŽƉƵůĂĕĆŽ� ƚƌĂďĂůŚĂĚŽƌĂ� ŶĂƐ� ĐŝĚĂĚĞƐ� Ğ�
ĂƐ�ƉŽůşƟĐĂƐ�ƉƷďůŝĐĂƐ�ĚŝƌĞĐŝŽŶĂĚĂƐ�ă�ŵŽďŝůŝĚĂĚĞ�ƵƌďĂŶĂ͕�
ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� ��ĚŝƐƚƌŝďƵŝĕĆŽ�ĚĂƐ�ƉĞƐƐŽĂƐ�ƉŽƌ� ĨĂŝdžĂ�ĚĞ� ƚĞŵƉŽ�
ĚĞ� ĚĞƐůŽĐĂŵĞŶƚŽ� ĐĂƐĂͲƚƌĂďĂůŚŽ� ŶĂ� ƌĞŐŝĆŽ�
ŵĞƚƌŽƉŽůŝƚĂŶĂ�ĚŽ�ZŝŽ�ĚĞ�:ĂŶĞŝƌŽ�Ġ�ƉƌſdžŝŵĂ�ă�ƋƵĞ�
ƐĞ�ǀĞƌŝĮĐĂ�Ğŵ�^ĆŽ�WĂƵůŽ͕�ŵĂƐ�ŶĆŽ�Ğŵ��ƵƌŝƟďĂ�Ğ�
ŶĂ�ŵĠĚŝĂ�ďƌĂƐŝůĞŝƌĂ͘
//͘� EĂƐ�ŵĞƚƌſƉŽůĞƐ͕�Ğŵ�ŐĞƌĂů͕�Ă�ŵĂŝŽƌŝĂ�ĚŽƐ�ƉŽƐƚŽƐ�
ĚĞ� ƚƌĂďĂůŚŽ� ĞƐƚĄ� ůŽĐĂůŝnjĂĚĂ� ŶĂƐ� ĄƌĞĂƐ� ƵƌďĂŶĂƐ�
ĐĞŶƚƌĂŝƐ͕�Ğ�ĂƐ�ƌĞƐŝĚġŶĐŝĂƐ�ĚĂ�ƉŽƉƵůĂĕĆŽ�ĚĞ�ďĂŝdžĂ�
ƌĞŶĚĂ�ĞƐƚĆŽ� ĐŽŶĐĞŶƚƌĂĚĂƐ� Ğŵ�ĄƌĞĂƐ� ŝƌƌĞŐƵůĂƌĞƐ�
ŽƵ�ŶĂ�ƉĞƌŝĨĞƌŝĂ͕�Ž�ƋƵĞ�ĂƵŵĞŶƚĂ�Ž�ƚĞŵƉŽ�ŐĂƐƚŽ�ƉŽƌ�
ĞƐƚĂ�ƉŽƉƵůĂĕĆŽ�ŶŽ�ĚĞƐůŽĐĂŵĞŶƚŽ�ĐĂƐĂͲƚƌĂďĂůŚŽ�Ğ�
Ž�ĐƵƐƚŽ�ĚŽ�ƚƌĂŶƐƉŽƌƚĞ͘
///͘� �Ɛ� ƉŽůşƟĐĂƐ� ƉƷďůŝĐĂƐ� ƌĞĨĞƌĞŶƚĞƐ� Ă� ƚƌĂŶƐƉŽƌƚĞƐ�
ƵƌďĂŶŽƐ͕� ĐŽŵŽ͕� ƉŽƌ� ĞdžĞŵƉůŽ͕� �ŝůŚĞƚĞ� jŶŝĐŽ�
Ğ� sĞşĐƵůŽ� >ĞǀĞ� ƐŽďƌĞ� dƌŝůŚŽƐ� ;s>dͿ͕� ĂŽ� ƐĞƌĞŵ�
ŝŵƉůĞŵĞŶƚĂĚĂƐ͕� ĐŽŶƚƌŝďƵĞŵ� ƉĂƌĂ� ƌĞĚƵĕĆŽ� ĚŽ�
ƚĞŵƉŽ�ŐĂƐƚŽ�ŶŽ�ĚĞƐůŽĐĂŵĞŶƚŽ� ĐĂƐĂͲƚƌĂďĂůŚŽ�Ğ�
ĚŽ�ĐƵƐƚŽ�ĚŽ�ƚƌĂŶƐƉŽƌƚĞ͘
��ĐŽƌƌĞƚŽ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /͕�ĂƉĞŶĂƐ͘
B ///͕�ĂƉĞŶĂƐ͘
C /�Ğ�//͕�ĂƉĞŶĂƐ͘
D //�Ğ�///͕�ĂƉĞŶĂƐ͘
E /͕�//�Ğ�///͘
QUESTÃO 08
�ŽŶƐƚĂŶƚĞƐ� ƚƌĂŶƐĨŽƌŵĂĕƁĞƐ� ŽĐŽƌƌĞƌĂŵ� ŶŽƐ� ŵĞŝŽƐ�
ƌƵƌĂů�Ğ�ƵƌďĂŶŽ͕�Ă�ƉĂƌƟƌ�ĚŽ�ƐĠĐƵůŽ�yy͘��Žŵ�Ž�ĂĚǀĞŶƚŽ�
ĚĂ�ŝŶĚƵƐƚƌŝĂůŝnjĂĕĆŽ͕�ŚŽƵǀĞ�ŵƵĚĂŶĕĂƐ�ŝŵƉŽƌƚĂŶƚĞƐ�ŶŽ�
ŵŽĚŽ�ĚĞ�ǀŝĚĂ�ĚĂƐ�ƉĞƐƐŽĂƐ͕�Ğŵ�ƐĞƵƐ�ƉĂĚƌƁĞƐ�ĐƵůƚƵƌĂŝƐ͕�
ǀĂůŽƌĞƐ� Ğ� ƚƌĂĚŝĕƁĞƐ͘�K� ĐŽŶũƵŶƚŽ�ĚĞ� ĂĐŽŶƚĞĐŝŵĞŶƚŽƐ�
ƉƌŽǀŽĐŽƵ͕� ƚĂŶƚŽ� ŶĂ� njŽŶĂ� ƵƌďĂŶĂ� ƋƵĂŶƚŽ� ŶĂ� ƌƵƌĂů͕�
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ĂƟǀŝĚĂĚĞƐ�ĂŐƌşĐŽůĂƐ�Ğ�ǀŝŽůġŶĐŝĂ͘
/ŶŝĐŝĂƌĂŵͲƐĞ� ŝŶƷŵĞƌĂƐ� ƚƌĂŶƐĨŽƌŵĂĕƁĞƐ� ŶĂ� ŶĂƚƵƌĞnjĂ͕�
ĐƌŝĂŶĚŽͲƐĞ�ƚĠĐŶŝĐĂƐ�ƉĂƌĂ�ŽďũĞƚŽƐ�ĂƚĠ�ĞŶƚĆŽ�ƐĞŵ�ƵƟůŝĚĂĚĞ�
ƉĂƌĂ� Ž� ŚŽŵĞŵ͘� /ƐƐŽ� Ɛſ� ĨŽŝ� ƉŽƐƐşǀĞů� Ğŵ� ĚĞĐŽƌƌġŶĐŝĂ�
ĚŽƐ� ƌĞĐƵƌƐŽƐ� ŶĂƚƵƌĂŝƐ� ĞdžŝƐƚĞŶƚĞƐ͕� ƋƵĞ� ƉƌŽƉŝĐŝĂƌĂŵ�
ĞƐƚƌƵƚƵƌĂ�ĚĞ�ĐƌĞƐĐŝŵĞŶƚŽ�Ğ�ďƵƐĐĂ�ĚĞ�ƉƌŽƐƉĞƌŝĚĂĚĞ͕�Ž�
ƋƵĞ�ĨĂnj�ĚĂ�ĞdžƉĞƌŝŵĞŶƚĂĕĆŽ�Ƶŵ�ŵĠƚŽĚŽ�ĚĞ�ƚƌĂŶƐĨŽƌŵĂƌ�
ŽƐ�ƌĞĐƵƌƐŽƐ�Ğŵ�ďĞŶĞİĐŝŽ�ƉƌſƉƌŝŽ͘
^�EdK^͕�D͘�DĞƚĂŵŽƌĨŽƐĞƐ�ĚŽ�ĞƐƉĂĕŽ�ŚĂďŝƚĂĚŽ.
^ĆŽ�WĂƵůŽ͗�,ƵĐŝƚĞĐ͕�ϭϵϴϴ�;ĂĚĂƉƚĂĚŽͿ͘
��ƉĂƌƟƌ�ĚĂƐ�ŝĚĞŝĂƐ�ĞdžƉƌĞƐƐĂƐ�ŶŽ�ƚĞdžƚŽ�ĂĐŝŵĂ͕�ĐŽŶĐůƵŝͲƐĞ�
ƋƵĞ͕�ŶŽ��ƌĂƐŝů�ĚŽ�ƐĠĐƵůŽ�yy͕
A Ă� ŝŶĚƵƐƚƌŝĂůŝnjĂĕĆŽ� ŽĐŽƌƌĞƵ� ŝŶĚĞƉĞŶĚĞŶƚĞŵĞŶƚĞ�
ĚŽ�ġdžŽĚŽ�ƌƵƌĂů�Ğ�ĚŽƐ�ƌĞĐƵƌƐŽƐ�ŶĂƚƵƌĂŝƐ�ĚŝƐƉŽŶşǀĞŝƐ͘
B Ž�ġdžŽĚŽ�ƌƵƌĂů�ƉĂƌĂ�ĂƐ�ĐŝĚĂĚĞƐ�ŶĆŽ�ƉƌĞũƵĚŝĐŽƵ�ĂƐ�
ĂƚŝǀŝĚĂĚĞƐ�ĂŐƌşĐŽůĂƐ�ŶĞŵ�Ž�ŵĞŝŽ�ƌƵƌĂů�ƉŽƌƋƵĞ�
ŶŽǀĂƐ� ƚĞĐŶŽůŽŐŝĂƐ� ŚĂǀŝĂŵ� ƐŝĚŽ� ŝŶƚƌŽĚƵnjŝĚĂƐ�
ŶŽ�ĐĂŵƉŽ͘
C ŚŽŵĞŶƐ�Ğ�ŵƵůŚĞƌĞƐ�ĂĚǀŝŶĚŽƐ�ĚŽ�ĐĂŵƉŽ�ĚĞŝdžĂƌĂŵ�
ƐƵĂ� ĐƵůƚƵƌĂ� Ğ� ƐĞ� ĂĚĂƉƚĂƌĂŵ� Ă� ŽƵƚƌĂ͕� ĐŝƚĂĚŝŶĂ͕�
ƚŽƚĂůŵĞŶƚĞ�ĚŝĨĞƌĞŶƚĞ�Ğ�ŽƉŽƐƚĂ�ĂŽƐ�ƐĞƵƐ�ǀĂůŽƌĞƐ͘
D ƚĂŶƚŽ�Ž�ĞƐƉĂĕŽ�ƵƌďĂŶŽ�ƋƵĂŶƚŽ�Ž� ƌƵƌĂů� ƐŽĨƌĞƌĂŵ�
ƚƌĂŶƐĨŽƌŵĂĕƁĞƐ� ĚĞĐŽƌƌĞŶƚĞƐ� ĚĂ� ĂƉůŝĐĂĕĆŽ� ĚĞ�
ŶŽǀĂƐ� ƚĞĐŶŽůŽŐŝĂƐ� ăƐ� ĂƟǀŝĚĂĚĞƐ� ŝŶĚƵƐƚƌŝĂŝƐ� Ğ�
ĂŐƌşĐŽůĂƐ͘
E ŽƐ� ŵŝŐƌĂŶƚĞƐ� ĐŚĞŐĂƌĂŵ� ăƐ� ŐƌĂŶĚĞƐ� ĐŝĚĂĚĞƐ�
ƚƌĂnjĞŶĚŽ� ĐŽŶƐŝŐŽ� ǀĂůŽƌĞƐ� Ğ� ƚƌĂĚŝĕƁĞƐ͕� ƋƵĞ� ůŚĞƐ�
ƉŽƐƐŝďŝůŝƚĂƌĂŵ� ŵĂŶƚĞƌ� ŝŶƚĂĐƚĂ� ƐƵĂ� ĐƵůƚƵƌĂ͕� ƚĂů�
ĐŽŵŽ�ƐĞ�ŵĂŶŝĨĞƐƚĂǀĂ�ŶĂƐ�ƉĞƋƵĞŶĂƐ�ĐŝĚĂĚĞƐ�Ğ�ŶŽ�
ŵĞŝŽ�ƌƵƌĂů͘
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9
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COMPONENTE ESPECÍFICO
QUESTÃO DISCURSIVA 3
^ƵƉŽŶŚĂ� ƋƵĞ� Ž� ƌĞƐƉŽŶƐĄǀĞů� ƉĞůĂ� ĐŽŵƉƌĂ� ĚĞ� ŝŶƐƵŵŽƐ� ƉĂƌĂ� ƵŵĂ� ŽďƌĂ� ĚĞƉĂƌĂͲƐĞ� ĐŽŵ� Ă� ŶĞĐĞƐƐŝĚĂĚĞ� ĚĞ�
ĂƋƵŝƐŝĕĆŽ�ĚĞ�ϰϮϬ�ŵϹ�ƉĂƌĂ�ƵŵĂ�ĐŽŶĐƌĞƚĂŐĞŵ�ŝŶŝŶƚĞƌƌƵƉƚĂ͘��ůĞ�ĐŽŶƐƵůƚŽƵ�ϯ�ƵƐŝŶĂƐ�ĚĞ�ĐŽŶĐƌĞƚŽ�ƉƌſdžŝŵĂƐ�ĚĂ�ŽďƌĂ�
Ğ�ŶĞŶŚƵŵĂ�ĚĞůĂƐ�ƟŶŚĂ�ĐĂƉĂĐŝĚĂĚĞ�ĚĞ�ĨŽƌŶĞĐĞƌ�ŽƐ�ϰϮϬ�ŵϹ�Ğŵ�Ƶŵ�ƷŶŝĐŽ�ĚŝĂ͘���ƵƐŝŶĂ�͞�͟�ƉŽƐƐƵŝ�ĐĂŵŝŶŚƁĞƐ�ƋƵĞ�
ƚƌĂŶƐƉŽƌƚĂŵ�ĂƚĠ�ϲ�ŵϹ�ĐĂĚĂ�Ƶŵ�Ğ�ƵŵĂ�ĐĂƉĂĐŝĚĂĚĞ�ĚŝĄƌŝĂ�ĚĞ�ĨŽƌŶĞĐĞƌ�ϭϮϬ�ŵϹ͖�Ă�ƵƐŝŶĂ�͞ �͟�ƉŽƐƐƵŝ�ĐĂŵŝŶŚƁĞƐ�ƋƵĞ�
ƚƌĂŶƐƉŽƌƚĂŵ�ĂƚĠ�ϴ�ŵϹ�ĚĞ�ĐŽŶĐƌĞƚŽ�ĐĂĚĂ�Ƶŵ�Ğ�ƵŵĂ�ĐĂƉĂĐŝĚĂĚĞ�ĚŝĄƌŝĂ�ĚĞ�ĨŽƌŶĞĐĞƌ�ϮϰϬ�ŵϹ͖�Ğ͕�ƉŽƌ�Įŵ͕�Ă�ƵƐŝŶĂ�
͞�͟�ƉŽƐƐƵŝ�ĐĂŵŝŶŚƁĞƐ�ƋƵĞ�ƚƌĂŶƐƉŽƌƚĂŵ�ĂƚĠ�ϳ�ŵϹ�ĚĞ�ĐŽŶĐƌĞƚŽ�ĐĂĚĂ�Ƶŵ�Ğ�ƵŵĂ�ĐĂƉĂĐŝĚĂĚĞ�ĚŝĄƌŝĂ�ĚĞ�ĨŽƌŶĞĐĞƌ�
ϭϰϬ�ŵϹ͘�EĂ�ĐŽƚĂĕĆŽ͕�ŽƐ�ƉƌĞĕŽƐ�ĂƉƵƌĂĚŽƐ�ĨŽƌĂŵ�ŽƐ�ƐĞŐƵŝŶƚĞƐ͗�ĐĂŵŝŶŚĆŽ�ĐŽŵ�ϲ�ŵϹ�ĚĂ�ƵƐŝŶĂ�͞�͟�;ZΨ�ϭ�ϱϲϬ͕ϬϬͿ͖�
ĐĂŵŝŶŚĆŽ�ĐŽŵ�ϴ�ŵϹ�ĚĂ�ƵƐŝŶĂ�͞�͟�;ZΨ�Ϯ�ϭϲϬ͕ϬϬͿ͖�Ğ�ĐĂŵŝŶŚĆŽ�ĐŽŵ�ϳ�ŵϹ�ĚĂ�ƵƐŝŶĂ�͞�͟�;ZΨ�ϭ�ϳϱϬ͕ϬϬͿ͘��Ɛ�ƵƐŝŶĂƐ�
ĐŽŶƐĞŐƵĞŵ�ŵŽŶƚĂƌ�ƵŵĂ�ƌŽƟŶĂ�ĐŽŶũƵŶƚĂ�ĚĞ�ƚĂů�ĨŽƌŵĂ�ƋƵĞ�Ă�ĐŽŶĐƌĞƚĂŐĞŵ�ƐĞũĂ�ƐĞƋƵĞŶĐŝĂů�Ğ�ŝŶŝŶƚĞƌƌƵƉƚĂ͕�ŽƵ�
ƐĞũĂ͕�ĐŽŶƐĞŐƵĞŵ�ƚƌĂďĂůŚĂƌ�Ğŵ�ĐŽŶũƵŶƚŽ�ƐĞŵ�ƉĞƌĚĂ�ĚĞ�ƋƵĂůŝĚĂĚĞ�Ğ�ƉĂƌĂůŝƐĂĕĆŽ�ĚĂ�ĐŽŶĐƌĞƚĂŐĞŵ͘�
�Žŵ�ďĂƐĞ�ŶĂƐ�ŝŶĨŽƌŵĂĕƁĞƐ�ĂĐŝŵĂ͕�ĨĂĕĂ�Ž�ƋƵĞ�ƐĞ�ƉĞĚĞ�ŶŽƐ�ŝƚĞŶƐ�Ă�ƐĞŐƵŝƌ͘
ĂͿ� DŽĚĞůĞ�Ž�ƉƌŽďůĞŵĂ�;ƋƵĂŶƟĚĂĚĞ�ĚĞ�ĐĂŵŝŶŚƁĞƐ�ĚĞ�ĐĂĚĂ�ƵƐŝŶĂͿ�ĚĞ�ŵŽĚŽ�Ă�ĚĞƚĞƌŵŝŶĂƌ�Ž�ŵĞŶŽƌ�ĐƵƐƚŽ�ƉĂƌĂ�
Ă�ŽƉĞƌĂĕĆŽ͕�ƌĞƐƉĞŝƚĂŶĚŽͲƐĞ�ĂƐ�ƌĞƐƚƌŝĕƁĞƐ�ŝŵƉŽƐƚĂƐ�;ƐĞƌǀŝĕŽƐ�Ă�ƐĞƌĞŵ�ĐŽŶƚƌĂƚĂĚŽƐͿ͘�;ǀĂůŽƌ͗�ϳ͕Ϭ�ƉŽŶƚŽƐͿ
ďͿ� �ĞƚĞƌŵŝŶĞ�Ž�ĐƵƐƚŽ�ĚĞƐƐĂ�ŽƉĞƌĂĕĆŽ͕�ĂƉƌĞƐĞŶƚĂŶĚŽ�ŽƐ�ĐĄůĐƵůŽƐ�ƌĞĂůŝnjĂĚŽƐ͘�;ǀĂůŽƌ͗�ϯ͕Ϭ�ƉŽŶƚŽƐͿ
RASCUNHO
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4
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6
7
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9
10
11
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14
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10
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QUESTÃO DISCURSIVA 4
�ůŐƵŶƐ�ƐŽůŽƐ�ĞƐƉĞĐŝĂŝƐ�ĨŽƌŵĂĚŽƐ�Ğŵ�ĂŵďŝĞŶƚĞƐ�ƚƌŽƉŝĐĂŝƐ�ĂƉƌĞƐĞŶƚĂŵ�ĐŽŵƉŽƌƚĂŵĞŶƚŽƐ�ƉĞĐƵůŝĂƌĞƐ͕�Ă�ĞdžĞŵƉůŽ�
ĚŽƐ� ƐŽůŽƐ� ĐŽůĂƉƐşǀĞŝƐ͘� �ƐƐĞƐ� ƚġŵ�ƵŵĂ�ĚƵƌĞnjĂ�ĞůĞǀĂĚĂ�Ğŵ� ƐĞƵƐ� ŐƌĆŽƐ͕�ŵĂƐ� ƐĆŽ�ďĂƐƚĂŶƚĞ�ƉŽƌŽƐŽƐ͘�YƵĂŶĚŽ�
ƐĞĐŽƐ͕�ĨŽƌŵĂŵ�Ƶŵ�ĞƐƋƵĞůĞƚŽ�ƌşŐŝĚŽ͕�ĐƵũĂ�ĞƐƚĂďŝůŝĚĂĚĞ�Ġ�ŐĂƌĂŶƟĚĂ�ƉĞůĂ�ĐŽŶƐŝĚĞƌĄǀĞů�ĂĚĞƐĆŽ�ĞdžŝƐƚĞŶƚĞ�ĞŶƚƌĞ�
ŽƐ�ŐƌĆŽƐ�Ğ�ƚŽƌƌƁĞƐ�ĚŽ�ƐŽůŽ͘��ŶƚƌĞƚĂŶƚŽ͕�ĂŽ�ƐĞƌĞŵ�ƐĂƚƵƌĂĚŽƐ͕�ǀĞƌŝĮĐĂͲƐĞ�ƉĞƌĚĂ�ĚĞƐƐĂ�ĂĚĞƐĆŽ�Ğ�Ž�ƐŽůŽ�ĞŶƚƌĂ�Ğŵ�
ĐŽůĂƉƐŽ͕�ƐŽĨƌĞŶĚŽ�ƵŵĂ�ƌĞĚƵĕĆŽ�ďƌƵƐĐĂ�ĚĞ�ǀŽůƵŵĞ͘�
^ƵƉŽŶŚĂ�ƋƵĞ͕�Ğŵ�ƵŵĂ�ĐŝĚĂĚĞ�ƉƌſdžŝŵĂ�ĂŽ�ǀĂůĞ�ĚĞ�Ƶŵ�ƌŝŽ͕�ĚĞƐĞũĂͲƐĞ�ŝŵƉůĂŶƚĂƌ�ƵŵĂ�ďĂƌƌĂŐĞŵ�ƉĂƌĂ�ĮŶƐ�ĚĞ�
ĂďĂƐƚĞĐŝŵĞŶƚŽ�ĚĞ�ĄŐƵĂ͘��Ɛ�ŵƵŝƚĂƐ�ĞĚŝĮĐĂĕƁĞƐ�ůŽĐĂůŝnjĂĚĂƐ�ŶĂ�ƌĞŐŝĆŽ�ĚŽ�ĞŶƚŽƌŶŽ�ĚŽ�ƌŝŽ�ƉŽƐƐƵĞŵ�ĨƵŶĚĂĕƁĞƐ�
ƐƵƉĞƌĮĐŝĂŝƐ� Ğ� ƐĆŽ� ĂƉŽŝĂĚĂƐ� ƐŽďƌĞ� ƵŵĂ� ĐĂŵĂĚĂ� ĚĞ� ƐŽůŽ� ƋƵĞ� ƐĞ� ƐƵƐƉĞŝƚĂ� ĐŽůĂƉƐşǀĞů͕�ŵĂƐ� ŶĆŽ� ĂƉƌĞƐĞŶƚĂŵ�
ƉƌŽďůĞŵĂƐ�ĚĞ�ĨƵŶĚĂĕƁĞƐ͘�
EĞƐƐĞ�ĐŽŶƚĞdžƚŽ͕�ĨĂĕĂ�Ž�ƋƵĞ�ƐĞ�ƉĞĚĞ�ŶŽƐ�ŝƚĞŶƐ�Ă�ƐĞŐƵŝƌ͘
ĂͿ� �ĞƐĐƌĞǀĂ�Ă�ƚĠĐŶŝĐĂ�ĚĞ�ŝŶǀĞƐƟŐĂĕĆŽ�ŐĞŽƚĠĐŶŝĐĂ�ĂƉůŝĐĄǀĞů�ă�ƐŝƚƵĂĕĆŽ�ƉĂƌĂ�ǀĞƌŝĮĐĂƌ�ƐĞ�Ž�ƐŽůŽ�Ġ�ŽƵ�ŶĆŽ�ĚĞ�
ŶĂƚƵƌĞnjĂ�ĐŽůĂƉƐşǀĞů͘�;ǀĂůŽƌ͗�ϯ͕Ϭ�ƉŽŶƚŽƐͿ
ďͿ� �ŽŶƐŝĚĞƌĂŶĚŽ�ƋƵĞ�Ž�ƐŽůŽ�ƐĞũĂ�ĐŽůĂƉƐşǀĞů͕�ĚĞƐĐƌĞǀĂ�ƋƵĂŝƐ�ŽƐ�ĂƐƉĞĐƚŽƐ�ƋƵĞ�ĚĞǀĞŵ�ƐĞƌ�ůĞǀĂĚŽƐ�Ğŵ�ĐŽŶƚĂ�ƉĂƌĂ�
ƉƌĞǀĞŶŝƌ�Ă�ŶĆŽ�ŽĐŽƌƌġŶĐŝĂ�ĚĞ�ĚĂŶŽƐ�ŶĂƐ�ĞĚŝĮĐĂĕƁĞƐ�ƉĞůĂ�ŝŵƉůĂŶƚĂĕĆŽ�ĚĂ�ďĂƌƌĂŐĞŵ͘�;ǀĂůŽƌ͗�ϳ͕Ϭ�ƉŽŶƚŽƐͿ
RASCUNHO
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4
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6
7
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11
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11
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QUESTÃO DISCURSIVA 5
K�ƉůĂŶĞũĂŵĞŶƚŽ�Ġ� ĨĞƌƌĂŵĞŶƚĂ� ŝŵƉƌĞƐĐŝŶĚşǀĞů�ĂŽ�ĚĞƐĞŶǀŽůǀŝŵĞŶƚŽ�ĂĚĞƋƵĂĚŽ�ĚŽƐ�ƐŝƐƚĞŵĂƐ�ĚĞ�ƚƌĂŶƐƉŽƌƚĞƐ͕�
ƐŽďƌĞƚƵĚŽ�ŶŽ�ĐŽŶƚĞdžƚŽ�ƵƌďĂŶŽ͘�EŽ��ƌĂƐŝů͕� Ă�ŐƌĂŶĚĞ�ŵĂŝŽƌŝĂ�ĚĂƐ�ĐŝĚĂĚĞƐ�ƉŽƐƐƵŝ�ƉƌŽďůĞŵĂƐ� ƌĞůĂĐŝŽŶĂĚŽƐ�ă�
ŐĞƐƚĆŽ�ĚŽƐ�ƚƌĂŶƐƉŽƌƚĞƐ͕�ŽĐĂƐŝŽŶĂĚŽƐ�ƉĞůĂ�ĂƵƐġŶĐŝĂ�ŽƵ�ƉĞůĂƐ�ĨĂůŚĂƐ�ĚĞ�ƉůĂŶĞũĂŵĞŶƚŽ�ĂĐƵŵƵůĂĚĂƐ�ĂŽ�ůŽŶŐŽ�
ĚĂƐ�ƷůƟŵĂƐ�ĚĠĐĂĚĂƐ͘�WĂƌĂ�ƐƵƉƌŝƌ�ĞƐƐĂ�ĚĞĮĐŝġŶĐŝĂ͕�ĚŝǀĞƌƐŽƐ�ĞƐƚƵĚŽƐ�ŝŶĚŝĐĂŵ�ƋƵĞ�Ž�ƉůĂŶĞũĂŵĞŶƚŽ�ĚĞǀĞ�ĐƵŵƉƌŝƌ�ĂůŐƵŵĂƐ�ĞƚĂƉĂƐ�ŝŵƉŽƌƚĂŶƚĞƐ͕�ƋƵĞ�ŝŶĐůƵĞŵ�Ă�ĐŽůĞƚĂ�ĚĞ�ĚĂĚŽƐ�Ğ�Ă�ƉƌĞǀŝƐĆŽ�ĚĞ�ĚĞŵĂŶĚĂ�ĨƵƚƵƌĂ�ƉŽƌ�ƚƌĂŶƐƉŽƌƚĞƐ͘�
�ŝĂŶƚĞ�ĚŽ�ĞdžƉŽƐƚŽ͕�ĨĂĕĂ�Ž�ƋƵĞ�ƐĞ�ƉĞĚĞ�ŶŽƐ�ŝƚĞŶƐ�Ă�ƐĞŐƵŝƌ͘
ĂͿ� �ŝƚĞ� ƋƵĂƚƌŽ� ĚĂĚŽƐ� ƋƵĞ� ĚĞǀĞŵ� ƐĞƌ� ĐŽůĞƚĂĚŽƐ� ƉĂƌĂ� ĮŶƐ� ĚĞ� ƉůĂŶĞũĂŵĞŶƚŽ� ĚŽƐ� ƐŝƐƚĞŵĂƐ� ĚĞ� ƚƌĂŶƐƉŽƌƚĞ͘
;ǀĂůŽƌ͗�ϰ͕Ϭ�ƉŽŶƚŽƐͿ
ďͿ� �ŝƚĞ�ĂƐ�ƋƵĂƚƌŽ�ĞƚĂƉĂƐ�ƋƵĞ�ĐŽŵƉƁĞŵ�Ă�ƉƌĞǀŝƐĆŽ�ĚĞ�ĚĞŵĂŶĚĂ�ĨƵƚƵƌĂ�ƉŽƌ�ƚƌĂŶƐƉŽƌƚĞƐ͘�;ǀĂůŽƌ͗�ϲ͕Ϭ�ƉŽŶƚŽƐͿ
RASCUNHO
1
2
ϯ
4
5
6
7
ϴ
9
10
11
12
ϭϯ
14
15
*R12201411*
12
�E'�E,�Z/���/s/>
QUESTÃO 09
^ƵƉŽŶŚĂ�ƋƵĞ�Ă�ĚŝƐƚąŶĐŝĂ�ƉĞƌĐŽƌƌŝĚĂ�ƉŽƌ�Ƶŵ�ĐŝĐůŝƐƚĂ�
ƋƵĞ� ƉĞĚĂůĂ� ƌĞŐƵůĂƌŵĞŶƚĞ� ƉŽĚĞ� ƐĞƌ� ŝŶĨĞƌŝĚĂ� ƉĞůĂ�
ǀĂƌŝĄǀĞů�ĂůĞĂƚſƌŝĂ�x͕�ĐŽŵ�ĚĞŶƐŝĚĂĚĞ�ĚĞ�ƉƌŽďĂďŝůŝĚĂĚĞ�
ŶŽƌŵĂů͕
f(x;μ, σ2) =
1√
2πσ2
e−
(x−μ)2
2σ2
ĐŽŵ� μ = 25km e σ2 = 25km2 ͘� �� ĚƵƌĂĕĆŽ�ŵĠĚŝĂ� ĚŽ�
ƐĞƵ�ƚƌĞŝŶŽ�Ġ�ĚĞ�ϭŚϭϱŵŝŶ͘
�Žŵ�ďĂƐĞ�ŶĞƐƐĞƐ�ĚĂĚŽƐ͕�ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�ĂďĂŝdžŽ͘
/͘� �� ǀĞůŽĐŝĚĂĚĞ� ŵĠĚŝĂ� ĚĞ� ĐĂĚĂ� ƚƌĞŝŶŽ� Ġ� ĚĞ�
Ϯϭ͕ϳ�ŬŵͬŚ͘
//͘� ��ĚŝƐƚąŶĐŝĂ�ŵĠĚŝĂ�ƉĞƌĐŽƌƌŝĚĂ�Ğŵ�ĐĂĚĂ�ƚƌĞŝŶŽ�
Ġ�ĚĞ�Ϯϱ�Ŭŵ͘
///͘� ��ĄƌĞĂ�ŵĠĚŝĂ�ƉĞƌĐŽƌƌŝĚĂ�Ğŵ�ĐĂĚĂ�ƚƌĞŝŶŽ�Ġ�ĚĞ�
Ϯϱ�Ŭŵ2.
/s͘ � ��ĚŝƐƚąŶĐŝĂ�ƉĞƌĐŽƌƌŝĚĂ�ĚĞ�ĐĂĚĂ�ƚƌĞŝŶŽ͕�Ğŵ�Ƶŵ�
ĚĞƐǀŝŽͲƉĂĚƌĆŽ͕�ĞƐƚĄ�ĞŶƚƌĞ�ϮϬ�Ŭŵ�Ğ�ϯϬ�Ŭŵ͘
V. �� ǀĞůŽĐŝĚĂĚĞ�ŵĠĚŝĂ� ĚĞ� ĐĂĚĂ� ƚƌĞŝŶŽ͕� Ğŵ� Ƶŵ�
ĚĞƐǀŝŽͲƉĂĚƌĆŽ͕�ĞƐƚĄ�ĞŶƚƌĞ�ϭϲ�ŬŵͬŚ�Ğ�Ϯϰ�ŬŵͬŚ͘
��ĐŽƌƌĞƚŽ�ĂƉĞŶĂƐ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /͘
B /�Ğ�/s͘
C //�Ğ�///͘
D ///�Ğ�s͘
E //͕�/s�Ğ�s͘
ÁREA LIVRE
QUESTÃO 10
�ĞŶŽŵŝŶĂŵͲƐĞ�ĐĂƌŐĂƐ�ŽƐ�ĞůĞŵĞŶƚŽƐ�ĚĞ�Ƶŵ�ĐŝƌĐƵŝƚŽ�
ĞůĠƚƌŝĐŽ� ƋƵĞ� ƐĞ� ŽƉƁĞŵ� ă� ƉĂƐƐĂŐĞŵ� ĚĞ� ĐŽƌƌĞŶƚĞ�
ĞůĠƚƌŝĐĂ͘��ƐƐĞŶĐŝĂůŵĞŶƚĞ͕�ĚŝƐƟŶŐƵĞŵͲƐĞ�ƚƌġƐ�ƟƉŽƐ�ĚĞ�
ĐĂƌŐĂƐ͗� ƌĞƐŝƐƟǀĂƐ͕� ĐĂƉĂĐŝƟǀĂƐ� Ğ� ŝŶĚƵƟǀĂƐ͘� �Ɛ� ĐĂƌŐĂƐ�
ƌĞƐŝƐƟǀĂƐ�ĚŝƐƐŝƉĂŵ�ĞŶĞƌŐŝĂ͕�ĞŶƋƵĂŶƚŽ�ĂƐ�ƉƵƌĂŵĞŶƚĞ�
ĐĂƉĂĐŝƟǀĂƐ�ŽƵ�ƉƵƌĂŵĞŶƚĞ�ŝŶĚƵƟǀĂƐ�ƐĆŽ�ĐŽŶƐŝĚĞƌĂĚĂƐ�
ĂƌŵĂnjĞŶĂĚŽƌĂƐ�ĚĞ�ĞŶĞƌŐŝĂ͘
+
�
L2
L1
L3
1F
12 V
1H
^e�Ž�ĐŝƌĐƵŝƚŽ�ŵŽƐƚƌĂĚŽ�ĂĐŝŵĂ�Ġ�ĂůŝŵĞŶƚĂĚŽ�ƉŽƌ�ƵŵĂ�
ĨŽŶƚĞ�ĚĞ�ƚĞŶƐĆŽ�ĐŽŶơŶƵĂ�ĚĞ�ϭϮ�s�Ğ�ĂƐ�ůąŵƉĂĚĂƐ�ƐĆŽ�
ĚĞ�ϭϮ�sͬϲ�t͕�ŽďƐĞƌǀĂͲƐĞ�ƋƵĞ͕�Ğŵ�ƌĞŐŝŵĞ�ƉĞƌŵĂŶĞŶƚĞ͕
A ĂƐ� ƚƌġƐ� ůąŵƉĂĚĂƐ͕� >ϭ͕� >Ϯ�Ğ�>ϯ͕�ĮĐĂƌĆŽ�ĂƉĂŐĂĚĂƐ͕�
ƉŽŝƐ� ůąŵƉĂĚĂƐ� ŝŶĐĂŶĚĞƐĐĞŶƚĞƐ� Ɛſ� ŽƉĞƌĂŵ� ĐŽŵ�
ĐŽƌƌĞŶƚĞ�ĂůƚĞƌŶĂĚĂ͘
B ƐŽŵĞŶƚĞ�>Ϯ�Ğ�>ϯ�ĮĐĂƌĆŽ�ĂĐĞƐĂƐ͕�ƉŽŝƐ�Ă�ĐŽƌƌĞŶƚĞ�
ƋƵĞ�ƉĂƐƐĂ�Ğŵ�>Ϯ�Ġ�Ă�ƐŽŵĂ�ĚĂƐ�ĐŽƌƌĞŶƚĞƐ�Ğŵ�>ϯ�Ğ�
ŶŽ�ŝŶĚƵƚŽƌ͘
C ĂƐ�ƚƌġƐ�ůąŵƉĂĚĂƐ͕�>ϭ͕�>Ϯ�Ğ�>ϯ͕�ĮĐĂƌĆŽ�ĂĐĞƐĂƐ͕�ƉŽŝƐ�
ĞƐƚĆŽ�ůŝŐĂĚĂƐ�ă�ĨŽŶƚĞ�ĚĞ�ĂůŝŵĞŶƚĂĕĆŽ͘
D ƐŽŵĞŶƚĞ�>Ϯ�ĮĐĂƌĄ�ĂĐĞƐĂ͕�ƉŽŝƐ�ĞƐƚĄ�Ğŵ�ƐĠƌŝĞ�ĐŽŵ�Ă�
ĨŽŶƚĞ�ĚĞ�ĂůŝŵĞŶƚĂĕĆŽ͘
E ƐŽŵĞŶƚĞ�>ϭ�ĮĐĂƌĄ�ĂĐĞƐĂ͕�ƉŽŝƐ�ĞƐƚĄ�Ğŵ�ƐĠƌŝĞ�ĐŽŵ�Ž�
ĐĂƉĂĐŝƚŽƌ͘
ÁREA LIVRE
*R12201412*
ϭϯ
�E'�E,�Z/���/s/>
QUESTÃO 11 
����K�;�ĞŵĂŶĚĂ��ŝŽƋƵşŵŝĐĂ�ĚĞ�KdžŝŐġŶŝŽͿ�ĚĞ�ƵŵĂ�ĂŵŽƐƚƌĂ�ĚĞ�ĄŐƵĂ�Ġ�Ă�ƋƵĂŶƟ�ĚĂĚĞ�ĚĞ�ŽdžŝŐġŶŝŽ�ŶĞĐĞƐƐĄƌŝĂ�
ƉĂƌĂ�ŽdžŝĚĂƌ�Ă�ŵĂƚĠƌŝĂ�ŽƌŐąŶŝĐĂ�ƉŽƌ�ĚĞĐŽŵƉŽƐŝĕĆŽ�ĂĞƌſďŝĂ͘�YƵĂŶĚŽ�Ă�ĂŵŽƐƚƌĂ�Ġ�ŐƵĂƌĚĂĚĂ�ƉŽƌ�ϱ�ĚŝĂƐ�Ğŵ�ƵŵĂ�
ƚĞŵƉĞƌĂƚƵƌĂ�ĚĞ�ŝŶĐƵďĂĕĆŽ�ĚĞ�ϮϬΣ�͕�ĞůĂ�Ġ�ƌĞĨĞƌŝĚĂ�ĐŽŵŽ���Kϱ͕ϮϬ͕�ƋƵĞ�Ġ�ŶŽƌŵĂůŵĞŶƚĞ�ƵƟ�ůŝnjĂĚĂ�ĐŽŵŽ�Ƶŵ�ĚŽƐ�
ƉĂƌąŵĞƚƌŽƐ�ƉĂƌĂ�ǀĞƌŝĮ�ĐĂĕĆŽ�ĚĂ�ƋƵĂůŝĚĂĚĞ�ĚĂ�ĄŐƵĂ͘
K�ƐĞŐƵŝŶƚĞ�ƋƵĂĚƌŽ�ĐůĂƐƐŝĮ�ĐĂ�Ƶŵ�ĐƵƌƐŽ�Ě Ą͛ŐƵĂ�Ğŵ�ĨƵŶĕĆŽ�ĚĂ�ƐƵĂ���Kϱ͕ϮϬ
�ůĂƐƐŝĮ�ĐĂĕĆŽ DBO5,20 (mg/L)
DƵŝƚŽ�ůŝŵƉŽ �ƚĠ�ϭ
>ŝŵƉŽ DĂŝŽƌ�ƋƵĞ�ϭ�ĂƚĠ�Ϯ
ZĂnjŽĄǀĞů DĂŝŽƌ�ƋƵĞ�Ϯ�ĂƚĠ�ϰ
ZƵŝŵ DĂŝŽƌ�ƋƵĞ�ϰ�ĂƚĠ�ϲ
WĠƐƐŝŵŽ DĂŝŽƌ�ƋƵĞ�ϲ
��ŝŵĂŐĞŵ�ĂďĂŝdžŽ�ŵŽƐƚƌĂ�Ƶŵ�ƚƌĞĐŚŽ�ĚĞ�Ƶŵ�ƌŝŽ�ĐŽŵ�ϱ�ƐĞĕƁĞƐ�;y͕�z͕ �͕�t�Ğ�dͿ͕�Ğŵ�ƋƵĞ�ƐĆŽ�ĐŽůĞƚĂĚĂƐ�ĂŵŽƐƚƌĂƐ�
ĚĞ�ĄŐƵĂ�ƉĂƌĂ�Ă�ĚĞƚĞƌŵŝŶĂĕĆŽ�ĚĞ���Kϱ͕ϮϬ�Ğŵ�ůĂďŽƌĂƚſƌŝŽ͘
Ponto de
lançamento de
esgoto
Ponto de
lançamento de
esgoto
Ponto de
lançamento de
esgoto
X Y Z W T
Imagem sem escala
Q
K�ƋƵĂĚƌŽ�ĂďĂŝdžŽ�ĂƉƌĞƐĞŶƚĂ�ŽƐ�ƌĞƐƵůƚĂĚŽƐ͕�Ğŵ�ĚŝĨĞƌĞŶƚĞƐ�ƵŶŝĚĂĚĞƐ͕�ĚĂƐ�ĂŵŽƐƚƌĂƐ�ĐŽůŚŝĚĂƐ͘
Seção DBO5,20
X Ϭ͕ϰ�Őͬŵϯ
Y ϯ�ϴϱϬ�ŵŐͬŵϯ
Z Ϯ�ϱϬϬ�ŵŐͬŵϯ
W ϯ�ϬϬϬ�ŵŐͬŵϯ
T Ϭ͕Ϭϭ�ŬŐͬŵϯ
�ŽŶƐŝĚĞƌĂŶĚŽ�ƋƵĞ�ƉŽĚĞ�ŽĐŽƌƌĞƌ�ĂƵƚŽĚĞƉƵƌĂĕĆŽ�ŶŽ�ƌŝŽ͕�Ğŵ�ƋƵĂů�ƐĞĕĆŽ�ĚĞůĞ�Ă�ĄŐƵĂ�ŶĆŽ�ƉŽĚĞ�ƐĞƌ�ĐůĂƐƐŝĮ�ĐĂĚĂ͕�
ŶŽ�ŵşŶŝŵŽ͕�ĐŽŵŽ�͞ƌĂnjŽĄǀĞů͍͟
A y͘
B z͘
C ͘
D t͘
E T.
*R12201413*
14
�E'�E,�Z/���/s/>
QUESTÃO 12 
hŵ�ĂŵďŝĞŶƚĞ�ƚĞƌŵŝĐĂŵĞŶƚĞ�ĐŽŶĨŽƌƚĄǀĞů�Ġ�ƵŵĂ�ĚĂƐ�
ĐŽŶĚŝĕƁĞƐ�ƋƵĞ�ĚĞǀĞŵ�ƐĞƌ�ĐŽŶƐŝĚĞƌĂĚĂƐ�Ğŵ�ƉƌŽũĞƚŽƐ�
ĚĞ�ĞĚŝĮ�ĐĂĕƁĞƐ͘���Į�ŵ�ĚĞ�ƉƌŽũĞƚĂƌ�Ƶŵ�ĂŵďŝĞŶƚĞ�ŝŶƚĞƌŶŽ�
ĐŽŵ� ƚĞŵƉĞƌĂƚƵƌĂ� ĚĞ� ϮϬΣ�� ƉĂƌĂ� ƵŵĂ� ƚĞŵƉĞƌĂƚƵƌĂ�
ĞdžƚĞƌŶĂ�ŵĠĚŝĂ�ĚĞ�ϯϱΣ�͕�Ƶŵ�ĞŶŐĞŶŚĞŝƌŽ�ĐŽŶƐŝĚĞƌŽƵ͕�
ŶŽ�ĚŝŵĞŶƐŝŽŶĂŵĞŶƚŽ͕�Ƶŵ�Ň�ƵdžŽ�ĚĞ�ĐĂůŽƌ�ĂƚƌĂǀĠƐ�ĚĞ�
ƵŵĂ�ƉĂƌĞĚĞ�ĞdžƚĞƌŶĂ�ĚĞ�ϭϬϱ�tͬŵϸ͕�ĐŽŶĨŽƌŵĞ�ŝůƵƐƚƌĂ�
Ă�Į�ŐƵƌĂ�ĂďĂŝdžŽ͘
Tint = 20°C
20 cm
Text = 35°C
105 W/m2
��ƚĂďĞůĂ�Ă�ƐĞŐƵŝƌ�ĂƉƌĞƐĞŶƚĂ�ŽƐ�ǀĂůŽƌĞƐ�ĚĂ�ĐŽŶĚƵƟ�ǀŝĚĂĚĞ�
ƚĠƌŵŝĐĂ�ƉĂƌĂ�ĂůŐƵŶƐ�ŵĂƚĞƌŝĂŝƐ�ĚĞ�ĐŽŶƐƚƌƵĕĆŽ͘
Material
�ŽŶĚƵƟ�ǀŝĚĂĚĞ�
térmica
O (W.m�1.K�1)
�ŽŶĐƌĞƚŽ ϭ͕ϰϬ
WĞĚƌĂ�ŶĂƚƵƌĂů ϭ͕ϬϬ
WůĂĐĂ�ĚĞ�ĂŐůŽŵĞƌĂĚŽ�ĚĞ�Į�ďƌĂƐ�ĚĞ�ŵĂĚĞŝƌĂ Ϭ͕ϮϬ
WůĂĐĂ�ĚĞ�ŵĂĚĞŝƌĂ�ƉƌĞŶƐĂĚĂ Ϭ͕ϭϬ
WůĂĐĂ�ĐŽŵ�ĞƐƉƵŵĂ�ƌşŐŝĚĂ�ĚĞ�ƉŽůŝƵƌĞƚĂŶŽ Ϭ͕Ϭϯ
�^^K�/���K��Z�^/>�/Z�����EKZD�^�d��E/��^͘�E�Z�ϭϱϮϮϬͲϭ͗�
�ĞƐĞŵƉĞŶŚŽ�ƚĠƌŵŝĐŽ�ĚĞ�ĞĚŝĨŝĐĂĕƁĞƐ�Ͳ�WĂƌƚĞ�ϭ͗��ĞĨŝŶŝĕƁĞƐ͕�
ƐşŵďŽůŽƐ�Ğ�ƵŶŝĚĂĚĞƐ͘�ZŝŽ�ĚĞ�:ĂŶĞŝƌŽ͕�ϮϬϬϱ͕�Ɖ͘�ϴ�;ĂĚĂƉƚĂĚŽͿ͘
��Į�ŵ�ĚĞ� ƐĞ�ŽďƚĞƌ� Ă� ƚĞŵƉĞƌĂƚƵƌĂ� ŝŶƚĞƌŶĂ�ĚĞƐĞũĂĚĂ͕�
ƋƵĂů� ĚĞǀĞ� ƐĞƌ� Ž� ŵĂƚĞƌŝĂů� ƐĞůĞĐŝŽŶĂĚŽ͕� ĞŶƚƌĞ� ŽƐ�
ĂƉƌĞƐĞŶƚĂĚŽƐ�ŶĂ�ƚĂďĞůĂ�ĂĐŝŵĂ͕�ƉĂƌĂ�ĐŽŵƉŽƐŝĕĆŽ�ĚĂ�
ƉĂƌĞĚĞ�ĞdžƚĞƌŶĂ͍
A �ŽŶĐƌĞƚŽ͘
B WĞĚƌĂ�ŶĂƚƵƌĂů͘
C WůĂĐĂ�ĚĞ�ŵĂĚĞŝƌĂ�ƉƌĞŶƐĂĚĂ͘
D WůĂĐĂ�ĐŽŵ�ĞƐƉƵŵĂ�ƌşŐŝĚĂ�ĚĞ�ƉŽůŝƵƌĞƚĂŶŽ͘
E WůĂĐĂ�ĚĞ�ĂŐůŽŵĞƌĂĚŽ�ĚĞ�Į�ďƌĂƐ�ĚĞ�ŵĂĚĞŝƌĂ͘
QUESTÃO 13 
�ŶŐĞŶŚĞŝƌŽƐ�ĚĞ�ƵŵĂ�ĞŵƉƌĞƐĂ�ŚŽůĂŶĚĞƐĂ�ĞŶĐŽŶƚƌĂƌĂŵ�
ƵŵĂ�ŵĂŶĞŝƌĂ�ĚĞ�ĨĂnjĞƌ�ĐŽŵ�ƋƵĞ�ŽƐ�ĞůĞǀĂĚŽƌĞƐ�ƚĞƌƌĞƐƚƌĞƐ�
ƐƵďĂŵ� ĂƚĠ� Ž� ƚŽƉŽ� ĚĞ� ĞĚŝİ�ĐŝŽƐ� ĐŽŵ� ϭ� ϬϬϬ�ŵĞƚƌŽƐ� ĚĞ�
ĂůƚƵƌĂ͕�ƉŽŝƐ�ŽƐ�ĐĂďŽƐ�ĚĞ�ĂĕŽ�ƵƐĂĚŽƐ�ŶŽƐ�ĞůĞǀĂĚŽƌĞƐ�ĂƚƵĂŝƐ�
Ɛſ�ĐŽŶƐĞŐƵĞŵ�ĂůĕĄͲůŽƐ�Ă�ĂůƚƵƌĂƐ�ĚĞ͕�ĂƉƌŽdžŝŵĂĚĂŵĞŶƚĞ͕�
ϱϬϬ� ŵĞƚƌŽƐ͘� /ƐƐŽ� ƐĞƌĄ� ƉŽƐƐşǀĞů� ĐŽŵ� Ă� ĐƌŝĂĕĆŽ� ĚĞ� Ƶŵ�
ŶŽǀŽ�ĐĂďŽ�ƐƵƉĞƌůĞǀĞ�Ğ�ƐƵƉĞƌĨŽƌƚĞ͕�ŽƵ�ƐĞũĂ͕�ƵŵĂ�ĞƐƉĠĐŝĞ�
ĚĞ�ĐŝŶƚĂ͕�ƚĞĐŝĚĂ�ĐŽŵ�Į�ďƌĂƐ�ĚĞ�ĐĂƌďŽŶŽ͘��ŵ�ǀĞnj�ĚŽƐ�Į�ŽƐ�
ĚĞ�ĂĕŽ�ĞŶƚƌĞůĂĕĂĚŽƐ�ƵƐĂĚŽƐ�ŶŽƐ�ĐĂďŽƐ�ĚĞ�ĂĕŽ�ĐŽŵƵŶƐ͕�
Ă�ĐŝŶƚĂ�Ġ�ĨŽƌŵĂĚĂ�ƉŽƌ�ƋƵĂƚƌŽ�Į�ƚĂƐ�ĚĞ�Į�ďƌĂ�ĚĞ�ĐĂƌďŽŶŽ�
ƐĞůĂĚĂƐ�Ğŵ�ƉůĄƐƟ�ĐŽ�ƚƌĂŶƐƉĂƌĞŶƚĞ͘�K�ƉůĄƐƟ�ĐŽ�Ġ�ŶĞĐĞƐƐĄƌŝŽ�
ƉĂƌĂ�ƉƌŽƚĞŐĞƌ�ĚŽ�ĂƚƌŝƚŽ�ĂƐ�Į�ďƌĂƐ�ĚĞ�ĐĂƌďŽŶŽ�Ğ�ĂƵŵĞŶƚĂƌ�
Ă�ǀŝĚĂ�ƷƟ�ů�ĚŽ�ĐŽŶũƵŶƚŽ͘��ĂĚĂ�Į�ƚĂ�ƚĞŵ�ϰ�ĐĞŶơ�ŵĞƚƌŽƐ�ĚĞ�
ůĂƌŐƵƌĂ�ƉŽƌ�ϰ�ŵŝůşŵĞƚƌŽƐ�ĚĞ�ĞƐƉĞƐƐƵƌĂ͘��ůĂƐ�ƐĆŽ�ƉĂƌĞĐŝĚĂƐ�
ĐŽŵ� ƵŵĂ� ƌĠŐƵĂ� ĞƐĐŽůĂƌ� Ň�ĞdžşǀĞů͘� �ƐƐĞ� ŶŽǀŽ� ŵĂƚĞƌŝĂů�
ƐƵƉĞƌĂ�ůŝŐĞŝƌĂŵĞŶƚĞ�Ă�ƌĞƐŝƐƚġŶĐŝĂ�ă�ƚĞŶƐĆŽ�ĚŽ�ĂĕŽ͕�ŵĂƐ�
ƉĞƐĂ�ƐĞƚĞ�ǀĞnjĞƐ�ŵĞŶŽƐ�ƋƵĞ�Ž�ĂƚƵĂůŵĞŶƚĞ�ƵƐĂĚŽ͘��ƐƐŝŵ͕�
Ă� ĨŽƌĕĂ� ŐĂƐƚĂ� ƉĂƌĂ� ƐƵƐƚĞŶƚĂƌ� Ž� ƉĞƐŽ� ĚŽ� ƉƌſƉƌŝŽ� ĐĂďŽ�
ƉĂƐƐĂ�Ă�ƐĞƌ�ĂƉůŝĐĂĚĂ�ƉĂƌĂ�ƐƵƐƚĞŶƚĂƌ�ĂƉĞŶĂƐ�Ž�ĞůĞǀĂĚŽƌ͕ �Ğ�
Ž�ĐŽŶƐƵŵŽ�ĚĞ�ĞŶĞƌŐŝĂ�ĚŽƐ�ĞůĞǀĂĚŽƌĞƐ�ƚĂŵďĠŵ�Ġ�ĐĞƌĐĂ�
ĚĞ�ϭϱй�ŵĞŶŽƌ�ĚŽ�ƋƵĞ�ŽƐ�ĂŶƚĞƌŝŽƌĞƐ͘
��ŝƐƉŽŶşǀĞů�Ğŵ͗�фŚƩ�Ɖ͗ͬͬǁǁǁ͘ŝŶŽǀĂĐĂŽƚĞĐŶŽůŽŐŝĐĂ͘ĐŽŵ͘ďƌх͘�
�ĐĞƐƐŽ�Ğŵ͗�Ϯϳ�ũƵů͘�ϮϬϭϰ�;ĂĚĂƉƚĂĚŽͿ͘
dĞŶĚŽ� Ğŵ� ǀŝƐƚĂ� Ă� ƐŝƚƵĂĕĆŽ� ĚĞƐĐƌŝƚĂ͕� ĂǀĂůŝĞ� ĂƐ�
ĂĮ�ƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� K� ĐĂďŽ�ĚĞ�Į�ďƌĂ�ĚĞ� ĐĂƌďŽŶŽ� ƐƵƉŽƌƚĂ�ĞůĞǀĂĚĂƐ�
ĐĂƌŐĂƐ�ĚĞǀŝĚŽ�ă�ƐƵĂ�ĞůĞǀĂĚĂ�ƌĞƐŝƐƚġŶĐŝĂ�ă�ƚƌĂĕĆŽ͘
//͘� �� Į�ďƌĂ� ĚĞ� ĐĂƌďŽŶŽ� ƚŽƌŶĂ� Ž� ĐĂďŽ� ďĞŵ�ŵĂŝƐ�
Ň�ĞdžşǀĞů͕�Ž�ƋƵĞ͕�ĂůŝĂĚŽ�Ă�ƐƵĂ�ƌĞƐŝƐƚġŶĐŝĂ�ă�ƚƌĂĕĆŽ͕�
ƉƌŽƉŽƌĐŝŽŶĂ� Ă� ĞƐƐĞ� ŵĂƚĞƌŝĂů� ƵŵĂ� ǀĂŶƚĂŐĞŵ�
Ğŵ�ƌĞůĂĕĆŽ�ĂŽƐ�ĐĂďŽƐ�ĚĞ�ĂĕŽ�ĐŽŶǀĞŶĐŝŽŶĂŝƐ͘
///͘� �� ƌĞůĂĕĆŽ� ƌĞƐŝƐƚġŶĐŝĂͬƉĞƐŽ�ĚŽ� ĐĂďŽ�ĚĞ�Į�ďƌĂ�ĚĞ�
ĐĂƌďŽŶŽ�ĂƐƐĞŐƵƌĂ�ǀĂŶƚĂŐĞŵ�ĚĞƐƐĞ�ŵĂƚĞƌŝĂů�Ğŵ�
ƌĞůĂĕĆŽ�ĂŽƐ�ĐĂďŽƐ�ĚĞ�ĂĕŽ �͕ƉŽŝƐ�Ă�ĞĐŽŶŽŵŝĂ�ĚŽ�ƉĞƐŽ�
ƉƌſƉƌŝŽ�ĚŽ�ĐĂďŽ�ƉŽĚĞ�ƐĞƌ�ƵƐĂĚĂ�ƉĂƌĂ�ƐƵƐƚĞŶƚĂƌ�Ž�
ĞůĞǀĂĚŽƌ�Ğ�ƌĞĚƵnjŝƌ�Ž�ĐŽŶƐƵŵŽ�ĚĞ�ĞŶĞƌŐŝĂ͘
/s͘ � �ƉĞƐĂƌ� ĚĂ� ƌĞƐŝƐƚġŶĐŝĂ� ă� ƚĞŶƐĆŽ� ƐĞƌ� ĂƉĞŶĂƐ�
ůŝŐĞŝƌĂŵĞŶƚĞ� ŵĂŝŽƌ� ŶŽ� ĐĂďŽ� ĚĞ� Į�ďƌĂ� ĚĞ�
ĐĂƌďŽŶŽ͕�Ă�ǀĂŶƚĂŐĞŵ�ƉƌŝŶĐŝƉĂů�ĚĞ�ƐĞƵ�ƵƐŽ�Ġ�Ă�
ĂůƚĂ�ƌĞůĂĕĆŽ�ƌĞƐŝƐƚġŶĐŝĂͬƉĞƐŽ͘
��ĐŽƌƌĞƚŽ�ĂƉĞŶĂƐ�Ž�ƋƵĞ�ƐĞ�ĂĮ�ƌŵĂ�Ğŵ
A /͘
B //͘
C /�Ğ�///͘
D //�Ğ�/s͘
E ///�Ğ�/s͘
*R12201414*
15
�E'�E,�Z/���/s/>
QUESTÃO 14
K�ƚƌĂŶƐƉŽƌƚĞ�ĚĞ�Ƶŵ�ŇƵŝĚŽ�ĞŶƚƌĞ�ĚŽŝƐ�ƉŽŶƚŽƐ�ŶŽ�ŝŶƚĞƌŝŽƌ�
ĚĞ�Ƶŵ�ƚƵďŽ�ŽĐŽƌƌĞ�ƐŝŵƵůƚĂŶĞĂŵĞŶƚĞ͕�ĐŽŵ�ƉĞƌĚĂ�ĚĞ�
ĞŶĞƌŐŝĂ͕�ĚĞǀŝĚŽ�ĂŽ�ĂƚƌŝƚŽ�ĚŽ�ŇƵŝĚŽ�ĐŽŵ�Ă�ƉĂƌĞĚĞ�Ğ�ĂŽ�
ĞƐĐŽĂŵĞŶƚŽ�ƚƵƌďƵůĞŶƚŽ͘�WŽƌƚĂŶƚŽ͕�ƋƵĂŶƚŽ�ŵĂŝŽƌ�ĨŽƌ�
Ă�ƌƵŐŽƐŝĚĂĚĞ�ĚĂ�ƉĂƌĞĚĞ�ĚĂ�ƚƵďƵůĂĕĆŽ�ŽƵ�ŵĂŝƐ�ǀŝƐĐŽƐŽ�
ĨŽƌ�Ž�ŇƵŝĚŽ͕�ŵĂŝŽƌ�ƐĞƌĄ�Ă�ƉĞƌĚĂ�ĚĞ�ĞŶĞƌŐŝĂ͘���ĨŽƌŵĂ�
ĚĞ�ĚĞƚĞƌŵŝŶĂĕĆŽ�ĚŽ�ĨĂƚŽƌ�ĚĞ�ĂƚƌŝƚŽ�ĨŽŝ�ĞƐƚĂďĞůĞĐŝĚĂ�
Ğŵ�ϭϵϯϵ͕�ƉŽƌ�ŝŶƚĞƌŵĠĚŝŽ�ĚĂ�ĞƋƵĂĕĆŽ�ĚĞ��ŽůĞďƌŽŽŬͲ
tŚŝƚĞ͕�ĂƉƌĞƐĞŶƚĂĚĂ�Ă�ƐĞŐƵŝƌ͘
1√
f
= −2 log10
(
k
3, 7D
+
2, 51
Re
√
f
)
Ğŵ�ƋƵĞ
f���Ġ�Ž�ĨĂƚŽƌ�ĚĞ�ĂƚƌŝƚŽ�ĚĞ��ĂƌĐLJͲtĞŝƐďĂĐŚ�;ĂĚŝŵĞŶƐŝŽŶĂůͿ͖
k�Ġ�Ă�ƌƵŐŽƐŝĚĂĚĞ�ĞƋƵŝǀĂůĞŶƚĞ�ĚĂ�ƉĂƌĞĚĞ�ĚŽ�ƚƵďŽ�;ŵͿ͖
D Ġ�Ž�ĚŝąŵĞƚƌŽ�ŝŶƚĞƌŶŽ�ĚŽ�ƚƵďŽ�;ŵͿ͖Re�Ġ�Ž�ŶƷŵĞƌŽ�ĚĞ�ZĞLJŶŽůĚƐ�;ĂĚŝŵĞŶƐŝŽŶĂůͿ͘
�� ƌĞƐŽůƵĕĆŽ� ĚĞƐƐĂ� ĞƋƵĂĕĆŽ� ƌĞƋƵĞƌ� Ƶŵ� ƉƌŽĐĞƐƐŽ�
ŝƚĞƌĂƟǀŽ͕�ƉŽŝƐ�Ă�ĨƵŶĕĆŽ�Ġ�ŝŵƉůşĐŝƚĂ�Ğŵ�ƌĞůĂĕĆŽ�ĂŽ�ĨĂƚŽƌ�
ĚĞ�ĂƚƌŝƚŽ�;ƉƌĞƐĞŶƚĞ�ŶŽƐ�ĚŽŝƐ�ŵĞŵďƌŽƐ�ĚĂ�ĞƋƵĂĕĆŽͿ͘�
�ŵ�ϭϵϯϵ͕�Ă�ƌĞƐŽůƵĕĆŽ�ĚĞ�ĞƋƵĂĕƁĞƐ�ƉŽƌ�ƉƌŽĐĞĚŝŵĞŶƚŽƐ�
ŝƚĞƌĂƟǀŽƐ� ĚĞŵĂŶĚĂǀĂ� ĞdžĐĞƐƐŽ� ĚĞ� ƚĞŵƉŽ͕� ŵĂƐ͕�
ĐŽŵ� Ž� ĚĞƐĞŶǀŽůǀŝŵĞŶƚŽ� ĚŽƐ� ĐŽŶŚĞĐŝŵĞŶƚŽƐ� ĚĞ�
ĐŽŵƉƵƚĂĕĆŽ͕�ĞƐƐĞ�ƉƌŽďůĞŵĂ�ĨŽŝ�ƐŽůƵĐŝŽŶĂĚŽ͘
�Ɛ�ĞƚĂƉĂƐ�ĚĞ�Ƶŵ�ĂůŐŽƌŝƚŵŽ�ƋƵĞ�ƐŽůƵĐŝŽŶĂ�Ă�ĞƋƵĂĕĆŽ͕�
ƐĞŵ�ŽƌĚĞŶĂĕĆŽ� ůſŐŝĐĂ͕� ĂƐƐŝŵ� ĐŽŵŽ� ƐĞƵ�ŇƵdžŽŐƌĂŵĂ�
ƐĆŽ�ĂƉƌĞƐĞŶƚĂĚŽƐ�Ă�ƐĞŐƵŝƌ͘ �
�Ϳ�D = 1
�Ϳ�f
0с�Ϭ͕Ϭϯ
�Ϳ�/ŶşĐŝŽ
�Ϳ� �ĄůĐƵůŽ� ĚĞ� f1� ĂƚƌĂǀĠƐ� ĚĂ� ĞƋƵĂĕĆŽ� ĚĞ� �ŽůĞďƌŽŽŬͲ
tŚŝƚĞ
�Ϳ�ͮ�f0� f1ͮ�ф�Ϭ͕ϬϬϬϬϭ
&Ϳ�dĠƌŵŝŶŽ
'Ϳ�Re = 10 000
,Ϳ�k с�Ϭ͕ϬϬϬϭ
/Ϳ���f0 =� f1
:Ϳ�sŝƐƵĂůŝnjĂĕĆŽ�ĚŽ�ƌĞƐƵůƚĂĚŽ
1
2
3
4
5
6
7
8
9
10
�Žŵ� ďĂƐĞ� ŶĞƐƐĂƐ� ŝŶĨŽƌŵĂĕƁĞƐ͕� ǀĞƌŝĮĐĂͲƐĞ� ƋƵĞ� Ă�
ƐŽůƵĕĆŽ�ĚĂ�ĞƋƵĂĕĆŽ�Ġ�ŽďƟĚĂ�ƉĞůĂ�ƐĞŐƵŝŶƚĞ�ĂƐƐŽĐŝĂĕĆŽ�
ĚĂƐ�ĞƚĂƉĂƐ�ĚŽ�ĂůŐŽƌŝƚŵŽ�ĐŽŵ�Ž�ŇƵdžŽŐƌĂŵĂ
A
1 2 ϯ 4 5 6 7 ϴ 9 10
� � , ' � � � : / F
B
1 2 ϯ 4 5 6 7 ϴ 9 10
� , � ' � � � : F /
C
1 2 ϯ 4 5 6 7 ϴ 9 10
� ' � , � � : � / F
D
1 2 ϯ 4 5 6 7 ϴ 9 10
� � � , ' � : � F /
E
1 2 ϯ 4 5 6 7 ϴ 9 10
� � ' , � � � : / F
*R12201415*
16
�E'�E,�Z/���/s/>
QUESTÃO 15
KďƐĞƌǀĞ� Ž� ƉƌŽŐƌĂŵĂ� ĐůĂƐƐŝĮĐĂĚŽƌ� ;͞ƐŽƌƚ͟Ϳ͕� Ğŵ�
ƉƐĞƵĚŽĐſĚŝŐŽ͕�ĂƉƌĞƐĞŶƚĂĚŽ�ĂďĂŝdžŽ͘
�ƐƐĞ�ƉƌŽŐƌĂŵĂ�ĐůĂƐƐŝĮĐĂ͕�Ğŵ�ŽƌĚĞŵ
A ĚĞĐƌĞƐĐĞŶƚĞ͕�ŶŽƚĂƐ�ĚĞ�ĂůƵŶŽƐ�Ğ�ŶŽŵĞƐ�ĚĞ�ĂůƵŶŽƐ�
ĚĞ�ŵĞƐŵĂ�ŶŽƚĂ͘
B ĂůĨĂďĠƟĐĂ�ĐƌĞƐĐĞŶƚĞ͕�ŶŽŵĞƐ�Ğ�ŶŽƚĂƐ�ĚĞ�ĂůƵŶŽƐ�ĚĞ�
ŵĞƐŵŽ�ŶŽŵĞ͘
C ĚĞĐƌĞƐĐĞŶƚĞ͕�ŶŽƚĂƐ�ĚĞ�ĂůƵŶŽƐ͘
D ĂůĨĂďĠƟĐĂ�ĐƌĞƐĐĞŶƚĞ͕�ŶŽŵĞƐ�ĚĞ�ĂůƵŶŽƐ͘
E ĐƌĞƐĐĞŶƚĞ͕�ŶŽƚĂƐ�ĚĞ�ĂůƵŶŽƐ͘
ÁREA LIVRE
QUESTÃO 16
hŵĂ� ŝŶĚƷƐƚƌŝĂ� ĚĞ� ďůŽĐŽƐ� ĐĞƌąŵŝĐŽƐ� ƉƌĞƚĞŶĚĞ�
ƵƟůŝnjĂƌ�ƋƵĞŝŵĂ�ĚĞ�ďŝŽŵĂƐƐĂ� ƌĞƐƵůƚĂŶƚĞ�ĚĞ� ƌĞƐşĚƵŽƐ�
ĚĞ� ŵĂĚĞŝƌĂ͕� ƉĂƌĂ� ŐĞƌĂƌ� ĞŶĞƌŐŝĂ� ƚĠƌŵŝĐĂ� ƉĂƌĂ� ƐĞƵƐ�
ĨŽƌŶŽƐ͕� ƋƵĞ͕� ĂƚƵĂůŵĞŶƚĞ͕� ƵƟůŝnjĂŵ� ŐĄƐ� ŶĂƚƵƌĂů͘� dĂů�
ŝŶŝĐŝĂƟǀĂ�ƉŽĚĞƌĄ�ƌĞĚƵnjŝƌ�Ž�ĐŽŶƐƵŵŽ�ĚĞ�ĐŽŵďƵƐơǀĞů͕�
ƉŽƌĠŵ�ƐĞƌĄ�ŶĞĐĞƐƐĄƌŝŽ�Ƶŵ�ŝŶǀĞƐƟŵĞŶƚŽ�ŶŽ�ǀĂůŽƌ�ĚĞ�
ϮϬй�ĚŽ�ĐŽŶƐƵŵŽͬĂŶŽ�ĂƚƵĂů�ĚĞ�ĐŽŵďƵƐơǀĞů͕�ǀŝƐĂŶĚŽ�
ă� ĂĚĂƉƚĂĕĆŽ� ĚŽƐ� ĨŽƌŶŽƐ͘� �ůĠŵ� ĚŝƐƐŽ͕� Ž� ƚƌĂŶƐƉŽƌƚĞ�
ĂŶƵĂů�ĚŽƐ�ƌĞƐşĚƵŽƐ�ĚĂ�ĨŽŶƚĞ�ŐĞƌĂĚŽƌĂ�ĂƚĠ�Ă�ŝŶĚƷƐƚƌŝĂ�
ŝƌĄ�ĐƵƐƚĂƌ�ϱй�ĚŽ�ĐŽŶƐƵŵŽͬĂŶŽ�ĂƚƵĂů�ĚĞ�ĐŽŵďƵƐơǀĞů͘�
�ƐƟŵĂͲƐĞ� ƋƵĞ� ĞƐƐĂ� ĂůƚĞƌĂĕĆŽ� ƉƌŽŵŽǀĂ� ƵŵĂ�
ĞĐŽŶŽŵŝĂ͕� ŶŽ� ĐŽŶƐƵŵŽͬĂŶŽ� ĂƚƵĂů� ĚĞ� ĐŽŵďƵƐơǀĞů͕�
ĚĞ�ϭϬй�ĂŽ�ĂŶŽ͘
��ƉĂƌƟƌ�ĚĂ�ƐŝƚƵĂĕĆŽ�ĚĞƐĐƌŝƚĂ͕�ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�Ă�
ƐĞŐƵŝƌ͘
/͘� ��ƉĂƌƟƌ�ĚŽ�ƋƵŝŶƚŽ�ĂŶŽ͕�Ă�ŝŶĚƷƐƚƌŝĂ�ĐŽŵĞĕĂƌŝĂ�
Ă�ƚĞƌ�ďĞŶĞİĐŝŽƐ�ĞĐŽŶƀŵŝĐŽƐ͘
//͘� EĂ� ƉƌŽƉŽƐƚĂ� ĂƉƌĞƐĞŶƚĂĚĂ͕� Ă� ŝŶĚƷƐƚƌŝĂ�
ƐƵďƐƟƚƵŝƌŝĂ�Ž�ĐŽŵďƵƐơǀĞů�ĂƚƵĂů�ƉŽƌ�ƵŵĂ�ĨŽŶƚĞ�
ĚĞ�ĞŶĞƌŐŝĂ�ĐŽŵ�ŵĞŶŽƌ�ƉƌŽĚƵĕĆŽ�Ğ�ĞŵŝƐƐĆŽ�ĚĞ�
ƉĂƌơĐƵůĂƐ�ĚĞǀŝĚŽ�ĂŽ�ƉƌŽĐĞƐƐŽ�ĚĞ�ĐŽŵďƵƐƚĆŽ�
;ƉĂƌƟĐƵůĂĚŽƐͿ͘
///͘� EĂ� ƉƌŽƉŽƐƚĂ� ĂƉƌĞƐĞŶƚĂĚĂ͕� Ă� ŝŶĚƷƐƚƌŝĂ�
ƐƵďƐƟƚƵŝƌŝĂ�Ž�ĐŽŵďƵƐơǀĞů�ĂƚƵĂů�ƉŽƌ�ƵŵĂ�ĨŽŶƚĞ�
ƌĞŶŽǀĄǀĞů�ĚĞ�ĞŶĞƌŐŝĂ͘
/s͘ � K�ǀĂůŽƌ�ĚŽ�ŝŶǀĞƐƟŵĞŶƚŽ�ƐƵƉĞƌĂ�ŽƐ�ďĞŶĞİĐŝŽƐ�
ƉƌŽŵŽǀŝĚŽƐ�ĐŽŵ�Ă�ĞĐŽŶŽŵŝĂ�ĚĞ�ĐŽŵďƵƐơǀĞů�
ĚƵƌĂŶƚĞ�ŽƐ�ϱ�ƉƌŝŵĞŝƌŽƐ�ĂŶŽƐ͘
��ĐŽƌƌĞƚŽ�ĂƉĞŶĂƐ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A //͘
B /s͘
C /�Ğ�//͘
D /�Ğ�///͘
E ///�Ğ�/s͘
ÁREA LIVRE
*R12201416*
17
�E'�E,�Z/���/s/>
QUESTÃO 17
�džŝƐƚĞŵ�ĐŽŶƚƌŽǀĠƌƐŝĂƐ�ĂĐĞƌĐĂ�ĚĂ�ŵĂŐŶŝƚƵĚĞ�ĚŽƐ�ĨĂƚŽƌĞƐ�ƋƵĞ�ŝŶŇƵĞŶĐŝĂŵ�Ž�ǀŽƚŽ�ĚŽ�ĞůĞŝƚŽƌ͘ ��ŵďŽƌĂ͕�ĂƚƵĂůŵĞŶƚĞ͕�
ĂƐ�ƉĞƐƋƵŝƐĂƐ�ĞůĞŝƚŽƌĂŝƐ�ƉŽƐƐĂŵ�ƐĞƌ�ĚŝǀƵůŐĂĚĂƐ�ƉƌſdžŝŵŽ�ĂŽ�ĚŝĂ�ĚĂ�ĞůĞŝĕĆŽ͕�ĚƵƌĂŶƚĞ�ŵƵŝƚŽ�ƚĞŵƉŽ�ĞƐƐĂ�ĚŝǀƵůŐĂĕĆŽ�
ŶĆŽ�ĞƌĂ�ƉĞƌŵŝƟĚĂ�ƐŽď�Ă�ĂůĞŐĂĕĆŽ�ĚĞ�ƋƵĞ�ĂƐ�ŵĞƐŵĂƐ�ŝŶŇƵĞŶĐŝĂǀĂŵ�Ă�ĚĞĐŝƐĆŽ�ĚĞ�Ƶŵ�ƟƉŽ�ƉĂƌƟĐƵůĂƌ�ĚĞ�ĞůĞŝƚŽƌ͕ �
Ž�ƋƵĂů�ĚĞƐĞũĂǀĂ�͞ǀŽƚĂƌ�ŶŽ�ĐĂŶĚŝĚĂƚŽ�ŐĂŶŚĂĚŽƌ͟�Ğ�ƚĞŶĚŝĂ�Ă�ǀŽƚĂƌ�ŶŽƐ�ĐĂŶĚŝĚĂƚŽƐ�ĐƵũĂ�ƐƵƉŽƐƚĂ�ƉƌŽďĂďŝůŝĚĂĚĞ�
ĚĞ�ǀŝƚſƌŝĂ�Ġ�ŵĂŝŽƌ͕ �ŝŶĚĞƉĞŶĚĞŶƚĞŵĞŶƚĞ�ĚŽ�ĐŽŶƚĞƷĚŽ�ĚĂ�ƉƌŽƉŽƐƚĂ�ƉŽůşƟĐĂ�ĂƉƌĞƐĞŶƚĂĚĂ͘
0
5
15
25
35
45
55
60
P
or
ce
nt
ag
em
 d
e 
Vo
to
s
Candidato
A
Candidato
B
Gráfico I
40
45
50
55
60
P
or
ce
nt
ag
em
 d
e 
Vo
to
s
Candidato
A
Candidato
B
Gráfico II
�ŽŶƐŝĚĞƌĂŶĚŽ�ƋƵĞ�Ž��ĂŶĚŝĚĂƚŽ���ĞƐƚĞũĂ�ŝŶƚĞƌĞƐƐĂĚŽ�ŶŽ�ǀŽƚŽ�ĚŽ�ƟƉŽ�ĚĞ�ĞůĞŝƚŽƌ�ŵĞŶĐŝŽŶĂĚŽ�ŶŽ�ƚĞdžƚŽ�Ğ�ĞƐƚĞũĂ�
ĞdžĂŵŝŶĂŶĚŽ�ŽƐ�ĚŽŝƐ�ŐƌĄĮĐŽƐ�ĂĐŝŵĂ�ƉĂƌĂ�ĂƉƌĞƐĞŶƚĂƌ͕ �Ğŵ�ƐĞƵ�ŵĂƚĞƌŝĂů�ĚĞ�ƉƌŽƉĂŐĂŶĚĂ͕�ŽƐ�ƌĞƐƵůƚĂĚŽƐ�ĚĞ�ƵŵĂ�
ƉĞƐƋƵŝƐĂ�ĞůĞŝƚŽƌĂů͕�ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�ƋƵĞ�ƐĞ�ƐĞŐƵĞŵ͘
/͘� KƐ�ĚŽŝƐ�ŐƌĄĮĐŽƐ�ĂƉƌĞƐĞŶƚĂŵ�ƌĞƐƵůƚĂĚŽƐ�ĚŝĨĞƌĞŶƚĞƐ͘
//͘� �ŵ�ƌĞůĂĕĆŽ�ĂŽƐ�ŽďũĞƟǀŽƐ�ĚŽ��ĂŶĚŝĚĂƚŽ��͕�Ž�ŐƌĄĮĐŽ�/�Ġ�ŵĂŝƐ�ĂĚĞƋƵĂĚŽ�ƋƵĞ�Ž�//͘
///͘� ��ĚĞĐŝƐĆŽ�Ă�ƐĞƌ�ƚŽŵĂĚĂ�ĂƉƌĞƐĞŶƚĂ�ŝŵƉůŝĐĂĕƁĞƐ�ĚĞ�ŶĂƚƵƌĞnjĂ�ĠƟĐĂ͕�ĂůĠŵ�ĚĂƐ�ĚĞ�ŶĂƚƵƌĞnjĂ�ƚĠĐŶŝĐĂ͘
��ĐŽƌƌĞƚŽ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /͕�ĂƉĞŶĂƐ͘
B ///͕�ĂƉĞŶĂƐ͘
C /�Ğ�//͕�ĂƉĞŶĂƐ͘
D //�Ğ�///͕�ĂƉĞŶĂƐ͘
E /͕�//�Ğ�///͘
*R12201417*
ϭϴ
�E'�E,�Z/���/s/>
QUESTÃO 18
EŽ��ƌĂƐŝů͕�Ġ�ĐŽŵĞƌĐŝĂůŝnjĂĚĂ�ƵŵĂ�ĐĂĚĞŝƌĂ�ĚĞ�ƌŽĚĂƐ�ĚĞ�ĂůƵŵşŶŝŽ�ĐŽŵ�ƉĞƐŽ�ĂƉƌŽdžŝŵĂĚŽ�ĚĞ�ϭϮ�ŬŐ͕�ƋƵĞ�ƌĞƉƌĞƐĞŶƚĂ�
ĐĞƌĐĂ� ĚĂ�ŵĞƚĂĚĞ�ĚŽ� ƉĞƐŽ� ĚĞ� Ƶŵ�ŵŽĚĞůŽ� ĐŽŶǀĞŶĐŝŽŶĂů͘� �ŽŶƐƚƌƵşĚĂ� Ğŵ�ĞƐƚƌƵƚƵƌĂ� ƚƵďƵůĂƌ� ĚĞ� ƵŵĂ� ůŝŐĂ� ĚĞ�
ĂůƵŵşŶŝŽ�ĂĞƌŽŶĄƵƟĐŽ͕�ĞƐƐĂ�ĐĂĚĞŝƌĂ�ĚĞ�ƌŽĚĂƐ�ƉŽƐƐƵŝ�ĂůƚĂ�ƌĞƐŝƐƚġŶĐŝĂ�ŵĞĐąŶŝĐĂ͕�ĂůĠŵ�ĚĞ�ƚĞƌ�ĐƵƐƚŽ�ƌĞĚƵnjŝĚŽ.
�ŝƐƉŽŶşǀĞů�Ğŵ͗фŚƩƉ͗ͬͬǁǁǁ͘ŚŽƐƉŝƚĂůĂƌ͘ĐŽŵх͘��ĐĞƐƐŽ�Ğŵ͗�Ϯϲ�ũƵů͘�ϮϬϭϰ�;ĂĚĂƉƚĂĚŽͿ͘
K�ĂůƵŵşŶŝŽ�ĂĞƌŽŶĄƵƟĐŽ�ƉŽƐƐƵŝ�ƵŵĂ�ĐŽŵďŝŶĂĕĆŽ�ƷŶŝĐĂ�ĚĞ�ƉƌŽƉƌŝĞĚĂĚĞƐ�ƋƵĞ�Ž�ƚŽƌŶĂ�Ƶŵ�ŵĂƚĞƌŝĂů�ĚĞ�ĐŽŶƐƚƌƵĕĆŽ�
ǀĞƌƐĄƟů͕�ĂůƚĂŵĞŶƚĞ�ƵƟůŝnjĄǀĞů�Ğ�ĂƚƌĂƟǀŽ͘��ƐƐĂƐ�ĐĂƌĂĐƚĞƌşƐƟĐĂƐ�ƐĆŽ�ĚĞǀŝĚĂƐ�Ă�ƋƵĂŝƐ�ƉƌŽƉƌŝĞĚĂĚĞƐ͍
A �ůƚĂ�ƌĞƐŝƐƚġŶĐŝĂ�ŵĞĐąŶŝĐĂ�Ğ�ďĂŝdžĂ�ĚĞŶƐŝĚĂĚĞ͘
B �ĂŝdžĂ�ƉůĂƐƟĐŝĚĂĚĞ�Ğ�ĂůƚŽ�ƉŽŶƚŽ�ĚĞ�ĨƵƐĆŽ͘
C �ůƚĂ�ĚƵƌĞnjĂ�Ă�ƋƵĞŶƚĞ�Ğ�ďĂŝdžĂ�ĚƵƟůŝĚĂĚĞ͘
D �ĂŝdžĂ�ƉůĂƐƟĐŝĚĂĚĞ�Ğ�ĂůƚĂ�ƐŽůĚĂďŝůŝĚĂĚĞ͘
E �ůƚĂ�ĚƵƌĞnjĂ�Ğ�ĂůƚĂ�ĚĞŶƐŝĚĂĚĞ.
ÁREA LIVRE
*R12201418*
19
�E'�E,�Z/���/s/>
QUESTÃO 19
�� ĐŽƌƌŽƐĆŽ� ĚŽ� ĂĕŽ Ğŵ� ĞƐƚƌƵƚƵƌĂƐ� ĚĞ� ĐŽŶĐƌĞƚŽ�
ĂƌŵĂĚŽ�Ġ�ĐŽŶƐŝĚĞƌĂĚĂ�ƵŵĂ�ŵĂŶŝĨĞƐƚĂĕĆŽ�ƉĂƚŽůſŐŝĐĂ�
ŶĆŽ�ŵƵŝƚŽ�ƌĂƌĂ�ŶĂƐ�ĐŽŶƐƚƌƵĕƁĞƐ͘
EĞƐƐĞ�ĐŽŶƚĞdžƚŽ͕�ĂǀĂůŝĞ�ĂƐ�ƐĞŐƵŝŶƚĞƐ�ĂĮƌŵĂĕƁĞƐ͘
/͘� �� ĐŽƌƌŽƐĆŽ� ĚŽ� ĂĕŽ� Ġ� Ƶŵ� ƉƌŽĐĞƐƐŽ�
ĞůĞƚƌŽƋƵşŵŝĐŽ� ƋƵĞ� ƐĞ� ŝŶŝĐŝĂ� Ğ� ƉƌŽƐƐĞŐƵĞ�
ĚĞǀŝĚŽ� Ă� ĐĂƌĂĐƚĞƌşƐƟĐĂƐ� ĐŽŶƐƚƌƵƟǀĂƐ� ĚĂ�
ĞƐƚƌƵƚƵƌĂ� ĚĞ� ĐŽŶĐƌĞƚŽ� ĂƌŵĂĚŽ͕� ĂůĠŵ� ĚĞ�
ĐŽŶĚŝĕƁĞƐ�ĐůŝŵĄƟĐĂƐ�Ğ�ĚĞ�ĞdžƉŽƐŝĕĆŽ͘
//͘� � �� ĐŽůŽĐĂĕĆŽ� ĚĞ� ĞƐƉĂĕĂĚŽƌĞƐ� ƋƵĞ� ĂƵdžŝůŝĂŵ�
Ž� ĐŽƌƌĞƚŽ� ƉŽƐŝĐŝŽŶĂŵĞŶƚŽ� ĚĂƐ� ĂƌŵĂĚƵƌĂƐ�
ĚĞŶƚƌŽ�ĚĂƐ�ĨŽƌŵĂƐ�Ġ�ƵŵĂ�ƉƌĄƟĐĂ�ƋƵĞ�ƉƌŽĐƵƌĂ�
ŐĂƌĂŶƟƌ�Ž�ĐŽďƌŝŵĞŶƚŽ�ĞƐƉĞĐŝĮĐĂĚŽ�Ğ�Ă�ǀŝĚĂ�
ƷƟů�ƉƌĞǀŝƐƚĂ�ĚĂƐ�ĞƐƚƌƵƚƵƌĂƐ�Ğŵ�ƉƌŽũĞƚŽ͘
///͘� �KƐ�ƉƌŽĚƵƚŽƐ�ĚĂ�ĐŽƌƌŽƐĆŽ�ƐĆŽ�ĞdžƉĂŶƐŝǀŽƐ�Ğ�
ƉŽĚĞŵ�ŽĐĂƐŝŽŶĂƌ�ĮƐƐƵƌĂƐ�Ğŵ�ǀŝŐĂƐ�Ğ�ƉŝůĂƌĞƐ�
Ğ͕�ĂƚĠ�ŵĞƐŵŽ͕�Ž�ĚĞƐƚĂĐĂŵĞŶƚŽ�ĚĞ�ƉĞĚĂĕŽƐ�
ĚĞ�ĐŽŶĐƌĞƚŽ͘
/s͘ � �� ƵƟůŝnjĂĕĆŽ� ĚĞ� ĂĚŝĕƁĞƐ� ŵŝŶĞƌĂŝƐ� Ğŵ�
ĐŽŶĐƌĞƚŽƐ� ƉŽƵĐŽ� ŝŶŇƵĞŶĐŝĂ� Ă� ĚĞƚĞƌŝŽƌĂĕĆŽ�
ƉŽƌ�ĐŽƌƌŽƐĆŽ�ĚĂ�ĂƌŵĂĚƵƌĂ͘
��ĐŽƌƌĞƚŽ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /͕�//�Ğ�///͕�ĂƉĞŶĂƐ͘
B /͕�//�Ğ�/s͕�ĂƉĞŶĂƐ͘
C /͕�///�Ğ�/s͕�ĂƉĞŶĂƐ͘
D //͕�///�Ğ�/s͕�ĂƉĞŶĂƐ͘
E /͕�//͕�///�Ğ�/s͘
ÁREA LIVRE
QUESTÃO 20
�� ĞƋƵĂĕĆŽ� ĚĂ� ůŝŶŚĂ� ĞůĄƐƟĐĂ� Ġ� ŵƵŝƚŽ� ŝŵƉŽƌƚĂŶƚĞ�
ƋƵĂŶĚŽ� ƐĞ� ƉƌĞƚĞŶĚĞ� ĚĞƚĞƌŵŝŶĂƌ� ĂƐ� ĚĞŇĞdžƁĞƐ� ĂŽ�
ůŽŶŐŽ�ĚŽ�ĞŝdžŽ� ůŽŶŐŝƚƵĚŝŶĂů�ĚĞ�ǀŝŐĂƐ͘�WĂƌĂ�Ž�ĐĂƐŽ�ĚĞ�
ƉĞƋƵĞŶĂƐ� ĚĞŇĞdžƁĞƐ͕� Ġ� ƉŽƐƐşǀĞů� ĞƐƚĂďĞůĞĐĞƌͲƐĞ� Ă�
ƐĞŐƵŝŶƚĞ�ĞƋƵĂĕĆŽ�ĚŝĨĞƌĞŶĐŝĂů͗�(E.I).v͟ = � M.
�ŽŶƐŝĚĞƌĂŶĚŽ�ƋƵĞ�x�Ġ�Ž�ĞŝdžŽ�ůŽŶŐŝƚƵĚŝŶĂů�ĚĂ�ǀŝŐĂ͕�E Ġ�
Ž�ŵſĚƵůŽ�ĚĂ�ĞůĂƐƟĐŝĚĂĚĞ�ůŽŶŐŝƚƵĚŝŶĂů͕�I Ġ�Ž�ŵŽŵĞŶƚŽ�
ĚĞ�ŝŶĠƌĐŝĂ�ĚĂ�ƐĞĕĆŽ�ƚƌĂŶƐǀĞƌƐĂů�ĚĂ�ǀŝŐĂ͕ v Ġ Ă ĚĞŇĞdžĆŽ�
ĚŽ�ĞŝdžŽ�ĚĂ�ǀŝŐĂ, M Ġ�Ă�ĞdžƉƌĞƐƐĆŽ�ĚŽ�ŵŽŵĞŶƚŽ�ŇĞƚŽƌ�
e v”�Ġ�Ă�ĚĞƌŝǀĂĚĂ�ĚĞ�ƐĞŐƵŶĚĂ�ŽƌĚĞŵ�ĚĞ�v Ğŵ�ƌĞůĂĕĆŽ�
Ă�x͕�ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�ƐĞŐƵŝŶƚĞƐ͘
/͘� �� ŵĄdžŝŵĂ� ĚĞŇĞdžĆŽ� ĚĞǀĞƌĄ� ŽĐŽƌƌĞƌ� Ğŵ� Ƶŵ�
ƉŽŶƚŽ�ĚĞ�ƌŽƚĂĕĆŽ�ŶƵůĂ͘
//͘� ��ĞƋƵĂĕĆŽ�ĚĂ�ůŝŶŚĂ�ĞůĄƐƟĐĂ�Ġ�ŽďƟĚĂ�ƉŽƌ�ĚƵƉůĂ�
ŝŶƚĞŐƌĂĕĆŽ�ĚĞ�v” Ğŵ�ƌĞůĂĕĆŽ�Ă�x .
///͘� ��ŵĄdžŝŵĂ�ĚĞŇĞdžĆŽ�ĚĞǀĞƌĄ�ŽĐŽƌƌĞƌ�ŶŽ�ƉŽŶƚŽ�
ĚĞ�ŵĄdžŝŵŽ�ŵŽŵĞŶƚŽ�ŇĞƚŽƌ͘ �
/s͘ � ��ƋƵĂƌƚĂ�ĚĞƌŝǀĂĚĂ�ĚĂ�ĞƋƵĂĕĆŽ�ĚĂ�ůŝŶŚĂ�ĞůĄƐƟĐĂ�
Ğŵ�ƌĞůĂĕĆŽ�Ă�x�ƌĞƉƌĞƐĞŶƚĂ�Ž�ĞƐĨŽƌĕŽ�ĐŽƌƚĂŶƚĞ͘
��ĐŽƌƌĞƚŽ�ĂƉĞŶĂƐ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /͘
B //͘
C /s͘
D ///�Ğ�/s͘
E /͕�//�Ğ�///͘
ÁREA LIVRE
*R12201419*
20
�E'�E,�Z/���/s/>
QUESTÃO 21
^ĞŐƵŶĚŽ�Ă�ĚĞĮŶŝĕĆŽ�ĚĂ�E�Z�ϲϭϭϴ͗ϮϬϭϰ͕� ǀŝŐĂƐ� ͞ƐĆŽ�
ĞůĞŵĞŶƚŽƐ�ůŝŶĞĂƌĞƐ�Ğŵ�ƋƵĞ�Ă�ŇĞdžĆŽ�Ġ�ƉƌĞƉŽŶĚĞƌĂŶƚĞ͘͟ �
^ƵĂ� ĨƵŶĕĆŽ�Ġ�ďĂƐŝĐĂŵĞŶƚĞ�ǀĞŶĐĞƌ�ǀĆŽƐ�Ğ� ƚƌĂŶƐŵŝƟƌ�
ĂƐ�ĂĕƁĞƐ�ŶĞůĂƐ�ĂƚƵĂŶƚĞƐ�ƉĂƌĂ�ŽƐ�ĂƉŽŝŽƐ͘�WĂƌĂ�ƚĂŶƚŽ͕�
ĂƐ� ĂƌŵĂĚƵƌĂƐ� ĚĂƐ� ǀŝŐĂƐ� ƐĆŽ� ŐĞƌĂůŵĞŶƚĞ� ĐŽŵƉŽƐƚĂƐ�
ƉŽƌ� ĞƐƚƌŝďŽƐ͕� ĐŚĂŵĂĚŽƐ� ͞ĂƌŵĂĚƵƌĂ� ƚƌĂŶƐǀĞƌƐĂů͕͟ �
Ğ� ƉŽƌ� ďĂƌƌĂƐ� ůŽŶŐŝƚƵĚŝŶĂŝƐ͕� ĐŚĂŵĂĚĂƐ� ͞ĂƌŵĂĚƵƌĂ�
ůŽŶŐŝƚƵĚŝŶĂů͘͟
�ƐƐŽĐŝĂĕĆŽ��ƌĂƐŝůĞŝƌĂ�ĚĞ�EŽƌŵĂƐ�dĠĐŶŝĐĂƐ͘�NBR6118 - Projeto e execução 
de obras de concreto armado͕���Ed͕ �ZŝŽ�ĚĞ�:ĂŶĞŝƌŽ͕�ϮϬϬϯ
�ŽŶƐŝĚĞƌĞ�Ă�ĮŐƵƌĂ�Ă�ƐĞŐƵŝƌ͘
V1 15/40
Corte A
422
P1 P2
2 N1 \ 10 C=482
20 \ 5 C/20
20 N3 \ 5 C=100
-2 \ 8
-2 \ 10
9
34
2 N2 \ 10 C=472
42424
30
A
24
30
N3 (400)
A
WĂƌĂ�Ă�ǀŝŐĂ�ƌĞƉƌĞƐĞŶƚĂĚĂ�ĂĐŝŵĂ͕�ĂƐƐŝŶĂůĞ�Ă�ĂůƚĞƌŶĂƟǀĂ�
ƋƵĞ�ĂƉƌĞƐĞŶƚĂ�ĐŽƌƌĞƚĂŵĞŶƚĞ�Ž�ĐŽŵƉƌŝŵĞŶƚŽ�ƚŽƚĂů�ĚĂ�
ĂƌŵĂĚƵƌĂ� ůŽŶŐŝƚƵĚŝŶĂů� Ğ� ĚĂ� ĂƌŵĂĚƵƌĂ� ƚƌĂŶƐǀĞƌƐĂů͕�
ƌĞƐƉĞĐƟǀĂŵĞŶƚĞ͘
A ϵ͕ϱϰ�ŵ�Ğ�ϭϳ͕ϮϬ�ŵ͘
B ϵ͕ϱϰ�ŵ�Ğ�ϮϬ͕ϬϬ�ŵ͘
C ϭϵ͕Ϭϴ�ŵ�Ğ�ϭϳ͕ϮϬ�ŵ͘
D ϭϵ͕Ϭϴ�ŵ�Ğ�ϮϬ͕ϬϬ�ŵ͘
E ϮϬ͕ϬϬ�ŵ�Ğ�ϭϵ͕Ϭϴ�ŵ͘
ÁREA LIVRE
QUESTÃO 22
sŝƐĂŶĚŽ� Ž� ĚŝŵĞŶƐŝŽŶĂŵĞŶƚŽ� ĚĞ� Ƶŵ� ďƵĞŝƌŽ� Ğŵ�
ƵŵĂ� ĨĞƌƌŽǀŝĂ͕�Ž�ĞŶŐĞŶŚĞŝƌŽ�ĞŶĐĂƌƌĞŐĂĚŽ�ĚŽ�ĞƐƚƵĚŽ�
ŚŝĚƌŽůſŐŝĐŽ� ŽƉƚŽƵ� ƉĞůĂ� ƵƟůŝnjĂĕĆŽ� ĚŽ� DĠƚŽĚŽ�
ZĂĐŝŽŶĂů͕�ĐƵũĂ�ĞƋƵĂĕĆŽ�Ġ�ĚĂĚĂ�ƉŽƌ�Q = C.I.A͕�Ğŵ�
ƋƵĞ�Q Ġ�Ă�ǀĂnjĆŽ͕�C Ġ�Ž�ĐŽĞĮĐŝĞŶƚĞ�ĚĞ�ĞƐĐŽĂŵĞŶƚŽ�
ƐƵƉĞƌĮĐŝĂů͕�I Ġ�Ă�ŝŶƚĞŶƐŝĚĂĚĞ�ĚĂ�ĐŚƵǀĂ�ŶĂ�ƌĞŐŝĆŽ�Ğ�A
Ġ�Ă�ĄƌĞĂ�ĚĂ�ďĂĐŝĂ�ŚŝĚƌŽŐƌĄĮĐĂ͘�EĞƐƐĞ�ĞƐƚƵĚŽ͕�ĨŽƌĂŵ�
ĐŽůĞƚĂĚĂƐ�ĂƐ�ŝŶĨŽƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
ͻ� �ŵ� ϰϬй� ĚĂ� ĄƌĞĂ� ĚĂ� ďĂĐŝĂ͕� Ž� ǀĂůŽƌ� ĚĞ�C Ă� ƐĞƌ�
ĂĚŽƚĂĚŽ�Ġ�ŝŐƵĂů�Ă�Ϭ͕Ϯ�Ğ͕�ŶŽ�ƌĞƐƚĂŶƚĞ�ĚĂ�ĄƌĞĂ͕�Ϭ͕ϱ͘
ͻ� �� ŝŶƚĞŶƐŝĚĂĚĞ�ĚĂ�ĐŚƵǀĂ�ŶĂ�ƌĞŐŝĆŽ� ;Ğŵ�ŵŵͬŚͿ�Ġ�
ŽďƟĚĂ�ƉĞůĂ�ĞƋƵĂĕĆŽ�I = 400TR0,5/t͕�Ğŵ�ƋƵĞ�TR
Ġ�Ž�ƚĞŵƉŽ�ĚĞ�ƌĞĐŽƌƌġŶĐŝĂ�ŽƵ�ƉĞƌşŽĚŽ�ĚĞ�ƌĞƚŽƌŶŽ�
;Ğŵ�ĂŶŽƐͿ͕�ĂĚŽƚĂĚŽ�ŝŐƵĂů�Ă�Ϯϱ�ĂŶŽƐ͖�t�Ġ�Ž�ƚĞŵƉŽ�
ĚĞ�ĚƵƌĂĕĆŽ�ĚĂ�ĐŚƵǀĂ�ŽƵ�ƚĞŵƉŽ�ĚĞ�ĐŽŶĐĞŶƚƌĂĕĆŽ�
;Ğŵ�ŵŝŶƵƚŽƐͿ͕�ĞƐƟŵĂĚŽ�Ğŵ�ϮϬ�ŵŝŶƵƚŽƐ͕�Ğŵ�ƌĂnjĆŽ�
ĚĂƐ�ĐĂƌĂĐƚĞƌşƐƟĐĂƐ�ĚĂ�ďĂĐŝĂ�ŚŝĚƌŽŐƌĄĮĐĂ͘
ͻ� ��ĄƌĞĂ�ĚĂ�ďĂĐŝĂ�ŚŝĚƌŽŐƌĄĮĐĂ�Ġ�ŝŐƵĂů�Ă�Ϭ͕ϳϮ�Ŭŵ2.
��ƉĂƌƟƌ�ĚŽƐ�ĚĂĚŽƐ�ĐŽůĞƚĂĚŽƐ�ŶŽ�ĞƐƚƵĚŽ�ŚŝĚƌŽŐƌĄĮĐŽ͕�
Ă� ǀĂnjĆŽ�Q� ĚĞ� ƉƌŽũĞƚŽ� ƉĂƌĂ� Ž� ĚŝŵĞŶƐŝŽŶĂŵĞŶƚŽ� ĚŽ�
ďƵĞŝƌŽ͕�Ğŵ�ůŝƚƌŽƐ�ƉŽƌ�ƐĞŐƵŶĚŽ͕�ƐĞƌĄ�ĚĞ�
A ϳ͕ϲ͘
B ϭϰ͕ϰ͘
C Ϯϱ͕Ϯ͘
D Ϯϳ͕ϰ͘
E ϯϲ͕Ϭ͘
ÁREA LIVRE
*R12201420*
21
�E'�E,�Z/���/s/>
QUESTÃO 23
hŵ�ŝŵƉŽƌƚĂŶƚĞ�ĐŽƌƌĞĚŽƌ�ĚĞ�ƚƌĂŶƐƉŽƌƚĞ�Ğŵ�ƵŵĂ�ĐŝĚĂĚĞ�ĚĞ�ƉŽƌƚĞ�ŵĠĚŝŽ�ĂƉƌĞƐĞŶƚĂ�ƉŝƐƚĂ�ĚƵƉůĂ�ĐŽŵ�ƚƌġƐ�ĨĂŝdžĂƐ�
ĚĞ�ƚƌĄĨĞŐŽ�ƉŽƌ�ƐĞŶƟĚŽ͘�EĞůĞ͕�ŽƉĞƌĂŵ�ƚƌġƐ� ůŝŶŚĂƐ�ĚĞ�ƀŶŝďƵƐ� ;�����͕�������Ğ������Ϳ͕�ĐŽŶĨŽƌŵĞ� ŝůƵƐƚƌĂ�Ă�
ĮŐƵƌĂ�ĂďĂŝdžŽ͘�K�ſƌŐĆŽ�ŵƵŶŝĐŝƉĂů�ƌĞƐƉŽŶƐĄǀĞů�ƉĞůĂ�ŐĞƐƚĆŽ�ĚŽ�ƐŝƐƚĞŵĂ�ĚĞ�ƚƌĂŶƐƉŽƌƚĞ�ƉƷďůŝĐŽ�ĚĞ�ƉĂƐƐĂŐĞŝƌŽƐ�
ƉƌĞƚĞŶĚĞ�ĐŽŶƐƚƌƵŝƌ�Ƶŵ�ƚĞƌŵŝŶĂů�ĚĞ�ŝŶƚĞŐƌĂĕĆŽ�ŶŽ�ƉŽŶƚŽ��͕�ŶŽ�ƋƵĂů�ƉĂƐƐĂƌĆŽ�Ă�ŽƉĞƌĂƌ�ĂƐ�ůŝŶŚĂƐ�ĂůŝŵĞŶƚĂĚŽƌĂƐ�
���͕�����Ğ�����Ğ�Ă�ůŝŶŚĂ�ƚƌŽŶĐĂů����͕�ĞƐƚĂ�Ğŵ�ĨĂŝdžĂ�ĞdžĐůƵƐŝǀĂ͘
A
E
D
C B
WĂƌĂ�ĞƐƐĞ�Įŵ͕� ĨŽŝ� ƌĞĂůŝnjĂĚĂ�ƵŵĂ�ƉĞƐƋƵŝƐĂ�ĚĞ�ŽƌŝŐĞŵ�Ğ�ĚĞƐƟŶŽ�ŶĂƐ� ůŝŶŚĂƐ������͕�������Ğ������͕� ĐƵũŽƐ�
ƌĞƐƵůƚĂĚŽƐ͕�Ğŵ�ƚĞƌŵŽƐ�ĚĞ�ĚĞŵĂŶĚĂ�ĚŝĄƌŝĂ�;ƉĂƐƐĂŐĞŝƌŽƐ�ƉŽƌ�ĚŝĂͿ͕�ĞƐƚĆŽ�ŝŶĚŝĐĂĚŽƐ�ŶŽ�ƋƵĂĚƌŽ�ĂďĂŝdžŽ͘
���ĞƐƟŶŽ
KƌŝŐĞŵ
�� �� �� �� �� �� �� �� �� ��
�� 200 ϴϬϬ - - - - - - - -
�� - - ϯϬϬ 900 - - - - - -
�� - - - - 400 1 000 - - - -
�� - - - - - - 900 ϴϬϬ 900 1 000
EĞƐƐĂƐ�ĐŽŶĚŝĕƁĞƐ͕�Ă�ĚĞŵĂŶĚĂ�ĚŝĄƌŝĂ�ƉƌĞǀŝƐƚĂ�ƉĂƌĂ�Ă�ůŝŶŚĂ�ƚƌŽŶĐĂů����͕�Ğŵ�ƉĂƐƐĂŐĞŝƌŽƐ�ƉŽƌ�ĚŝĂ͕�Ġ�ŝŐƵĂů�Ă
A 2 700.
B ϯ�ϲϬϬ͘
C 5 400.
D ϲ�ϯϬϬ͘
E 7 200.
ÁREA LIVRE
*R12201421*
22
�E'�E,�Z/���/s/>
QUESTÃO 24
EĂ�ƌĞĨŽƌŵĂ�ĚĞ�ƵŵĂ�ƌĞƐŝĚġŶĐŝĂ͕�ƋƵĞ�ƐĞƌĄ�ƚƌĂŶƐĨŽƌŵĂĚĂ�
Ğŵ� ĂĐĂĚĞŵŝĂ� ĚĞ� ŐŝŶĄƐƟĐĂ͕� Ž� ƟƉŽ� ĚĞ� ƵƟůŝnjĂĕĆŽ� ĚĂ�
ĞĚŝĮĐĂĕĆŽ�ĚĞǀĞƌĄ�ƐĞƌ�ĂůƚĞƌĂĚŽ͘�^ĂďĞŶĚŽ�ƋƵĞ�ƐĞ�ƚƌĂƚĂ�
ĚĞ� ƵŵĂ� ůĂũĞ� ŝƐŽůĂĚĂ� Ğ� ƉƌĠͲŵŽůĚĂĚĂ͕� Ž� ĞŶŐĞŶŚĞŝƌŽ�
ĞdžĞĐƵƚŽƌ͕ �ƉƌĞŽĐƵƉĂĚŽ�ĐŽŵ�Ă�ŶŽǀĂ�ƐŽďƌĞĐĂƌŐĂ�ŶĂ�ůĂũĞ�
ĚŽ�ƉƌŝŵĞŝƌŽ�ƉĂǀŝŵĞŶƚŽ͕�ŶĞĐĞƐƐŝƚĂ�ĨĂnjĞƌ�ƵŵĂ�ƉƌŽǀĂ�ĚĞ�
ĐĂƌŐĂ�ĞƐƚĄƟĐĂ͕�ƉŽŝƐ�ŶĆŽ�ŚĄ�ĚĂĚŽƐ�ĚŝƐƉŽŶşǀĞŝƐ�ĂĐĞƌĐĂ�
ĚŽ�ƉƌŽũĞƚŽ�ĞƐƚƌƵƚƵƌĂů�ĚĂ�ĞĚŝĮĐĂĕĆŽ�Ğŵ�ƌĞĨŽƌŵĂ͘
^ĂďĞŶĚŽ� ƋƵĞ� Ă� ƐŽďƌĞĐĂƌŐĂ� ĂŶƚĞƌŝŽƌ� ŶĂ� ůĂũĞ� ĞƌĂ� ĚĞ�
ϭ͕ϱ� ŬEͬŵϸ� Ğ� Ă� ŶŽǀĂ� ƐŽďƌĞĐĂƌŐĂ� Ġ� ĚĞ� ϰ͕Ϭ� ŬEͬŵϸ͕� Ğ�
ĐŽŶƐŝĚĞƌĂŶĚŽ�ƋƵĞ�ĂƐ�ĚŝŵĞŶƐƁĞƐ�ŐĞƌĂŝƐ�ĚĞ�Ƶŵ�ƐĂĐŽ�
ĚĞ� ĐŝŵĞŶƚŽ� ƐĆŽ� ϱϬ� Đŵ� dž� ϲϯ� Đŵ� dž� ϭϴ� Đŵ͕� Ž� ƉĞƐŽ�
ĞƐƉĞĐşĮĐŽ�ĚĂ�ĂƌĞŝĂ� ŐƌŽƐƐĂ�Ġ�ĚĞ�ϭϴ� ŬEͬŵϹ�Ğ�Ž�ƉĞƐŽ�
ĞƐƉĞĐşĮĐŽ�ĚĂ�ĄŐƵĂ�Ġ�ŝŐƵĂů�Ă�ϭϬ�ŬEͬŵϹ͕�ƵŵĂ�ƐŽůƵĕĆŽ�
ǀŝĄǀĞů�Ğ�ĚĞ�ďĂŝdžŽ�ĐƵƐƚŽ�ƉĂƌĂ�Ă�ƌĞĂůŝnjĂĕĆŽ�ĚĂ�ƉƌŽǀĂ�ĚĞ�
ĐĂƌŐĂ�ĞƐƚĄƟĐĂ�ƐĞƌŝĂ
A ĞŵƉŝůŚĂƌ͕ �ƉƌſdžŝŵŽ�ĂŽƐ�ĂƉŽŝŽƐ�ĚĂ�ůĂũĞ͕�ϴ�ƐĂĐŽƐ�ĚĞ�
ĐŝŵĞŶƚŽ�ĚĞ�Ϭ͕ϱ�ŬE͕�Ƶŵ�Ğŵ�ĐŝŵĂ�ĚŽ�ŽƵƚƌŽ͘
B ĞŵƉŝůŚĂƌ͕ �ƉƌſdžŝŵŽ�ĂŽƐ�ĂƉŽŝŽƐ�ĚĂ�ůĂũĞ͕�ϰ�ƐĂĐŽƐ�ĚĞ�
ĐŝŵĞŶƚŽ�ĚĞ�Ϭ͕ϱ�ŬE͕�Ƶŵ�Ğŵ�ĐŝŵĂ�ĚŽ�ŽƵƚƌŽ͘�
C ƉŽƐŝĐŝŽŶĂƌ�Ƶŵ�ĐĂŝdžŽƚĞ�ĚĞ�ϭ͕Ϭ�ŵ�dž�ϭ͕Ϭ�ŵ�dž�Ϭ͕ϰϬ�ŵ�ĚĞ�
ŵĂĚĞŝƌĂ�ƐŽďƌĞ�Ă�ƌĞŐŝĆŽ�ĐĞŶƚƌĂů�ĚĂ�ůĂũĞ�Ğ�ĞŶĐŚġͲůŽ�
ĐŽŵ�ĂƌĞŝĂ�ŐƌŽƐƐĂ͘
D ƉŽƐŝĐŝŽŶĂƌ� ƐŽďƌĞ� Ă� ƌĞŐŝĆŽ� ĐĞŶƚƌĂů� ĚĂ� ůĂũĞ� ƵŵĂ�
ƉŝƐĐŝŶĂ� ƉůĄƐƟĐĂ͕� ĐŽŵ� ĄƌĞĂ� ƐƵƉĞƌŝŽƌ� Ă� ϭ͕Ϭ� ŵϸ͕� Ğ�
ĞŶĐŚĞƌ�ĂƚĠ�ƋƵĞ�ƐĞ�ĂƟŶũĂ�Ϭ͕ϰϬ�ŵ�ĚĞ�ůąŵŝŶĂ�Ě Ą͛ŐƵĂ͘
E ƉŽƐŝĐŝŽŶĂƌ� ƐŽďƌĞ� Ă� ƌĞŐŝĆŽ� ƉƌſdžŝŵĂ� ĂŽƐ� ĂƉŽŝŽƐ�
ĚĂ�ůĂũĞ�ƵŵĂ�ƉŝƐĐŝŶĂ�ƉůĄƐƟĐĂ͕�ĐŽŵ�ĄƌĞĂ�ƐƵƉĞƌŝŽƌ�
Ă�ϭ͕Ϭ�ŵϸ͕�Ğ�ĞŶĐŚĞƌ�ĂƚĠ�ƋƵĞ�ƐĞ�ĂƟŶũĂ�Ϭ͕ϰϬ�ŵ�ĚĞ�
ůąŵŝŶĂ�Ě͛ĄŐƵĂ͘
ÁREA LIVRE
QUESTÃO 25
hŵĂ�ŶŽǀĂ�ƌŽĚŽǀŝĂ� ĨŽŝ� ŝŵƉůĂŶƚĂĚĂ�ƉĂƌĂ�ŵĞůŚŽƌĂƌ�ĂƐ�
ĐŽŶĚŝĕƁĞƐ� ĚĞ� ĂĐĞƐƐŽ� ĞŶƚƌĞ� ĂƐ� ůŽĐĂůŝĚĂĚĞƐ��͕� �� Ğ� �͘�
��ĞƋƵŝƉĞ�ĚĞ�ƚŽƉŽŐƌĂĮĂ�ůŽĐŽƵ�Ž�ĞŝdžŽ�ĚĂ�ƌŽĚŽǀŝĂ�ƋƵĞ�
ůŝŐĂ�Ă�ůŽĐĂůŝĚĂĚĞ���ĂƚĠ���ŶŽ�ĂnjŝŵƵƚĞ�ĚĞ�ϰϱΣ�Ğ�Ž�ĞŝdžŽ�
ĚĂ�ƌŽĚŽǀŝĂ�ƋƵĞ�ůŝŐĂ�Ă�ůŽĐĂůŝĚĂĚĞ���ĂƚĠ���ŶŽ�ĂnjŝŵƵƚĞ�
ĚĞ�ϭϯϱΣ͘�K�ƌĂŝŽ�ĚĂ�ĐƵƌǀĂ�ĐŝƌĐƵůĂƌ�ƐŝŵƉůĞƐ�ƋƵĞ�ƵŶŝƵ�ĂƐ�
ĚƵĂƐ�ƚĂŶŐĞŶƚĞƐ͕�ŝĚĞŶƟĮĐĂĚĂƐ�ƉŽƌ�dϭ�Ğ�dϮ�ŶĂ�ĮŐƵƌĂ�Ă�
ƐĞŐƵŝƌ͕ �Ġ�ĚĞ�ϴϬϬͬS�ŵ͘
NORTE
B
A C
T1 T2
�ŽŶƐŝĚĞƌĂŶĚŽ� ƋƵĞ� Ž� ĚĞƐĞŶǀŽůǀŝŵĞŶƚŽ� ĚĂ� ĐƵƌǀĂ� Ġ�
ĚĂĚŽ�ƉŽƌ���с�;ʋ�п�Z�п���ͿͬϭϴϬΣ͕�Ğŵ�ƋƵĞ�Z�Ġ�Ž�ƌĂŝŽ�ĚĂ�
ĐƵƌǀĂ͕�Ğŵ�ŵĞƚƌŽƐ͕�Ğ����Ġ�Ž�ąŶŐƵůŽ�ĐĞŶƚƌĂů͕�Ğŵ�ŐƌĂƵƐ͕�
ƋƵĂů�Ž�ĚĞƐĞŶǀŽůǀŝŵĞŶƚŽ�ĚŽ� ƚƌĞĐŚŽ�ĐŝƌĐƵůĂƌ�ĚĂ�ƉŝƐƚĂ�
ĐŽŶƐƚƌƵşĚĂ͕�Ğŵ�ĞƐƚĂĐĂƐ�ĚĞ�ϮϬ�ŵ͍
A 10.
B 20.
C ϯϬ͘
D 400.
E 600.
ÁREA LIVRE
*R12201422*
Ϯϯ
�E'�E,�Z/���/s/>
QUESTÃO 26
�ŽŶƐŝĚĞƌĞ�ƵŵĂ�ƚƵďƵůĂĕĆŽ�ĚĞ�Ws��ĐŽŵ�ĐŽŵƉƌŝŵĞŶƚŽ�
>͕� ĚŝąŵĞƚƌŽ� �� Ğ� ƌƵŐŽƐŝĚĂĚĞ� ĂďƐŽůƵƚĂ� ĚĂƐ� ƉĂƌĞĚĞƐ�
ŝŶƚĞƌŶĂƐ�H�ƚƌĂŶƐƉŽƌƚĂŶĚŽ�ĄŐƵĂ�ă�ǀĂnjĆŽ�Y͘
DĂŶƟĚĂƐ�ĂƐ�ĐŽŶĚŝĕƁĞƐ�ƚŽƉŽŐƌĄĮĐĂƐ͕�ŵĞƐŵŽ�ŵĂƚĞƌŝĂů�
Ğ�ŵĞƐŵŽ�ŇƵŝĚŽ͕�ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� �� ǀĂnjĆŽ� Y� ŶĆŽ� ƐŽĨƌĞ� ǀĂƌŝĂĕĆŽ� ĐŽŵ� Ž�
ĐŽŵƉƌŝŵĞŶƚŽ�>͘
//͘� ��ǀĂnjĆŽ�Y�ĚŝŵŝŶƵŝ�ĐŽŵ�Ă�ƌĞĚƵĕĆŽ�ĚŽ�ĚŝąŵĞƚƌŽ�
�͘
///͘� �� ǀĂnjĆŽ� Y� ĚŝŵŝŶƵŝ� ĐŽŵ� Ž� ĂƵŵĞŶƚŽ� ĚĂ�
ƌƵŐŽƐŝĚĂĚĞ�ĂďƐŽůƵƚĂ�H.
��ĐŽƌƌĞƚŽ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /͕�ĂƉĞŶĂƐ͘
B //͕�ĂƉĞŶĂƐ͘
C /�Ğ�///͕�ĂƉĞŶĂƐ͘
D //�Ğ�///͕�ĂƉĞŶĂƐ͘
E /͕�//�Ğ�///͘
ÁREA LIVRE
QUESTÃO 27
�džŝƐƚĞ� ƵŵĂ� ĞdžƉĞĐƚĂƟǀĂ� ĚĞ� ƋƵĞ� Ă� ĚĞŵĂŶĚĂ� ƉŽƌ�
ĐŽŶĐƌĞƚŽ�ĐƌĞƐĕĂ�ĚŽƐ�ĂƚƵĂŝƐ�ϭϭ͕ϱ�ďŝůŚƁĞƐ�ĚĞ�ƚŽŶĞůĂĚĂƐͬ
ĂŶŽ�ƉĂƌĂ�ĐĞƌĐĂ�ĚĞ�ϭϲ�Ă�ϭϴ�ďŝůŚƁĞƐ�ĚĞ�ƚŽŶĞůĂĚĂƐͬĂŶŽ�
Ğŵ�ϮϬϱϬ͘�EŽ�ĐĂƐŽ�ĚĞ�ĐŽŶĐƌĞƚŽƐ�ĚĞ�ĂůƚĂ� ƌĞƐŝƐƚġŶĐŝĂ͕�
ĚĞƉĞŶĚĞŶĚŽ� ĚĂƐ� ƉƌŽƉƌŝĞĚĂĚĞƐ� ĚĞƐĞũĂĚĂƐ͕� ƉŽĚĞŵ�
ƐĞƌ�ƵƟůŝnjĂĚŽƐ�ĚŝĨĞƌĞŶƚĞƐ�ƟƉŽƐ�ĚĞ�ĂĚŝƟǀŽƐ�ƋƵşŵŝĐŽƐ͕�
ƐĞŶĚŽ� ŵƵŝƚŽ� ĐŽŵƵŵ� Ă� ĂĚŝĕĆŽ� ĚĞ� ŵŝŶĞƌĂŝƐ͕� ĐŽŵŽ�
ĐŝŶnjĂ�ǀŽůĂŶƚĞ͕�ĞƐĐſƌŝĂ�Ğ�ƐşůŝĐĂ�ĂƟǀĂ͘�
�ĐĞƌĐĂ� ĚĂ� ŝŶĐŽƌƉŽƌĂĕĆŽ� ĚĞ� ĂĚŝĕƁĞƐ� ŵŝŶĞƌĂŝƐ� Ğŵ�
ĐŽŶĐƌĞƚŽƐ� ĚĞ� ĂůƚĂ� ƌĞƐŝƐƚġŶĐŝĂ͕� ĂƐƐŝŶĂůĞ� Ă� ŽƉĕĆŽ�
ĐŽƌƌĞƚĂ͘
A K�^ ŝK
2�Ğ�Ž��ů2Kϯ͕�ĚĞ�ĞƐƚƌƵƚƵƌĂ�ĂŵŽƌĨĂ�ŽƵ�ĐƌŝƐƚĂůŝŶĂ͕�
ƉƌĞƐĞŶƚĞƐ� ŶĂƐ� ĂĚŝĕƁĞƐ� ŵŝŶĞƌĂŝƐ͕� ƌĞĂŐĞŵ� ĐŽŵ�
Ž� �Ă;K,Ϳ2� ĨŽƌŵĂĚŽ� ŶĂ� ŚŝĚƌĂƚĂĕĆŽ� ĚŽ� ĐŝŵĞŶƚŽ�
Ğ� ĨŽƌŵĂŵ��ϯ^͕��2^͕��ϯ��Ğ��4�&͕ �ŽƐ�ƋƵĂŝƐ� ƌĞĂŐĞŵ�
ĐŽŵ�,2K�Ğ�ĨŽƌŵĂŵ��Ͳ^Ͳ,�ŽƵ͕�ĂŝŶĚĂ͕�ƌĞĂŐĞŵ�ĐŽŵ�
ŐĞƐƐŽ͕�ĨŽƌŵĂŶĚŽ�ĞƚƌŝŶŐŝƚĂ͘
B ��ĐĂƌďŽŶĂƚĂĕĆŽ�ĚŽƐ�ĐŽŶĐƌĞƚŽƐ�ĞƐƚĄ�ĚŝƌĞƚĂŵĞŶƚĞ�
ƌĞůĂĐŝŽŶĂĚĂ�ĐŽŵ�Ă�ƵƟůŝnjĂĕĆŽ�ĚĞ�ĂĚŝĕƁĞƐ�ŵŝŶĞƌĂŝƐ͕�
ƐĞŶĚŽ� ĐŽŶƐŝĚĞƌĂĚĂ� ƐĞŵƉƌĞ� ĐŽŵŽ� Ƶŵ� ĨĂƚŽƌ�
ŶĞŐĂƟǀŽ�ƋƵĂŶĚŽ� ƐĞ�ĞƐƚƵĚĂ�ƋƵĞƐƚƁĞƐ� ƌĞůĂƟǀĂƐ� ă�
ĚƵƌĂďŝůŝĚĂĚĞ�ĚŽƐ�ĐŽŶĐƌĞƚŽƐ�ĚĞ�ĞůĞǀĂĚĂ�ƌĞƐŝƐƚġŶĐŝĂ͘
C �� ŝŶĐŽƌƉŽƌĂĕĆŽ�ĚĞ�ŵĂƚĞƌŝĂŝƐ� ƉŽnjŽůąŶŝĐŽƐ� Ġ�ƵŵĂ�
ƐŽůƵĕĆŽ� ĞĨĞƟǀĂ� ƉĂƌĂ� ĂůƚĞƌĂƌ� Ă� ŵŝĐƌŽĞƐƚƌƵƚƵƌĂ�
ĚĂ� ƉĂƐƚĂ� ĚĞ� ĐŝŵĞŶƚŽ͕� ĚĞ� ĨŽƌŵĂ� Ă� ƚŽƌŶĄͲůĂ�ŵĂŝƐ�
ŚŽŵŽŐġŶĞĂ͕� ƉŽƐƐŝďŝůŝƚĂŶĚŽ� Ă� ĨĂďƌŝĐĂĕĆŽ� ĚĞ�
ĐŽŶĐƌĞƚŽƐ�ĚĞ�ƌĞƐŝƐƚġŶĐŝĂ�ŵĂŝƐ�ĞůĞǀĂĚĂ͘
D K��Ă;K,Ϳ2�ŶĞĐĞƐƐĄƌŝŽ�ŶĂƐ� ƌĞĂĕƁĞƐ�ƋƵşŵŝĐĂƐ�ƋƵĞ�
ŽĐŽƌƌĞŵ�ĐŽŵ�ĂƐ�ĂĚŝĕƁĞƐ�ŵŝŶĞƌĂŝƐ�ĐŽŶƚƌŝďƵŝ�ƉĂƌĂ�
Ž� ĂƵŵĞŶƚŽ� ĚŽ� Ɖ,� ĚŽ� ĐŽŶĐƌĞƚŽ͕� ĐŽŶƐƟƚƵŝŶĚŽͲƐĞ�
ƌĞƐƵůƚĂĚŽ� ƉƌĞũƵĚŝĐŝĂů� ĂŽƐ� ĐŽŶĐƌĞƚŽƐ� ĚĞ� ĞůĞǀĂĚĂ�
ƌĞƐŝƐƚġŶĐŝĂ͘
E �Ɛ�ĂĚŝĕƁĞƐ�ŵŝŶĞƌĂŝƐ�ŶĆŽ�ŝŶŇƵĞŶĐŝĂŵ�ŶĂ�ĨŽƌŵĂĕĆŽ�
ĚĞ�ĞƚƌŝŶŐŝƚĂ͕�ƐŽŵĞŶƚĞ�ŶĂ�ĨŽƌŵĂĕĆŽ�ĚĞ��Ͳ^Ͳ,͕�ƉŽƌ�
ŝƐƐŽ͕� ĐŽŶƚƌŝďƵĞŵ�ƉĂƌĂ�Ž�ĂƵŵĞŶƚŽ�ŶĂ� ƌĞƐŝƐƚġŶĐŝĂ�
ĚŽƐ�ĐŽŶĐƌĞƚŽƐ͘
*R12201423*
24
�E'�E,�Z/���/s/>
QUESTÃO 28
��ĮŐƵƌĂ�ĂďĂŝdžŽ�ƌĞƉƌĞƐĞŶƚĂ�ƵŵĂ�ĞƐƚƌƵƚƵƌĂ�ƉĂƌĂ�ĐŽďĞƌƚƵƌĂ�Ğŵ�ŵĂĚĞŝƌĂ͕�ĨŽƌŵĂĚĂ�ƉŽƌ�ƚĞƐŽƵƌĂƐ�Ğ�ƉĞĕĂƐ�ĚĂ�ƚƌĂŵĂ�
ƐĞĐƵŶĚĄƌŝĂ�;ƚĞƌĕĂƐ͕�ĐĂŝďƌŽƐ�Ğ�ƌŝƉĂƐͿ͕�ďĞŵ�ĐŽŵŽ�ĚĞ�ƚĞůŚĂƐ�;ĐĞƌąŵŝĐĂƐ�ŽƵ�ĚĞ�ĐŽŶĐƌĞƚŽͿ͘
DK>/d�ZEK͕��͘�Caderno de projetos de telhados em estruturas de madeira. ϰ͘�ĞĚ͘�^ĆŽ�WĂƵůŽ͗��͘��ůƺĐŚĞƌ͕ �ϮϬϭϬ͘
�ŵ�ƌĞůĂĕĆŽ�Ă�ĞƐƐĞ�ƟƉŽ�ĚĞ�ĞƐƚƌƵƚƵƌĂ�ĚĞ�ƚĞůŚĂĚŽ͕�ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�ĂďĂŝdžŽ͘
/͘� ^Ğ�Ă�ĚŝƐƚąŶĐŝĂ�ĞŶƚƌĞ�ƚĞƐŽƵƌĂƐ�ƟǀĞƐƐĞ�ƋƵĞ�ƐĞƌ�ĂůƚĞƌĂĚĂ�ŶŽ�ƚĞůŚĂĚŽ͕�ŝƐƐŽ�ĂĨĞƚĂƌŝĂ�Ž�ĚŝŵĞŶƐŝŽŶĂŵĞŶƚŽ�ĚĂƐ�ƚĞƌĕĂƐ͘
//͘� ^Ğ�ĂƐ�ƚĞůŚĂƐ�ĞŵƉƌĞŐĂĚĂƐ�;ĐĞƌąŵŝĐĂƐ�ŽƵ�ĚĞ�ĐŽŶĐƌĞƚŽͿ�ĨŽƐƐĞŵ�ƐƵďƐƟƚƵşĚĂƐ�ƉŽƌ�ƚĞůŚĂƐ�ĚĞ�ĮďƌŽĐŝŵĞŶƚŽ�
ŽƵ�ĚĞ�ĂĕŽ͕�Ă�ƚƌĂŵĂ�ĚŽ�ƚĞůŚĂĚŽ�ĚŝƐƉĞŶƐĂƌŝĂ�ŽƐ�ĞůĞŵĞŶƚŽƐ�ĐĂŝďƌŽ�Ğ�ƌŝƉĂ͘
///͘� WĂƌĂ� ƉƌŽƉŝĐŝĂƌ�ŵĞůŚŽƌ� ĞƐƚĂŶƋƵĞŝĚĂĚĞ� ă� ĄŐƵĂ� Ğ�ŵĂŝŽƌ� ĚƵƌĂďŝůŝĚĂĚĞ� ăƐ� ĞƐƚƌƵƚƵƌĂƐ� ĚĞ� ĐŽďĞƌƚƵƌĂ� Ğŵ�
ŵĂĚĞŝƌĂ͕�Ġ�ĂĐŽŶƐĞůŚĄǀĞů�Ă�ĂĚŽĕĆŽ�ĚĞ�ŵĂŶƚĂƐ�ĚĞ�ƐƵďĐŽďĞƌƚƵƌĂ͕�ĂƐ�ƋƵĂŝƐ�ƐĆŽ�ǀĞŶĚŝĚĂƐ�Ğŵ�ƌŽůŽƐ�Ğ�ĚĞǀĞŵ�
ƐĞƌ�ŝŶƐƚĂůĂĚĂƐ�ůŽŐŽ�ĂĐŝŵĂ�ĚĂƐ�ƚĞƐŽƵƌĂƐ͕�ĂŶƚĞƐ�ĚĂ�ĐŽůŽĐĂĕĆŽ�ĚĂƐ�ƚĞƌĕĂƐ͘
/s͘ � �Ɛ� ƚĞƌĕĂƐ� ĚĞǀĞŵ� ƐĞƌ� ƉŽƐŝĐŝŽŶĂĚĂƐ� ƉƌĞĨĞƌĞŶĐŝĂůŵĞŶƚĞ� ƐŽďƌĞ� ŽƐ� ŶſƐ� ĚĂ� ƚĞƐŽƵƌĂ͕� ĐĂƐŽ� ĐŽŶƚƌĄƌŝŽ͕�
ĂĐĂƌƌĞƚĂƌĆŽ� ŇĞdžŽĐŽŵƉƌĞƐƐĆŽ� ăƐ� ďĂƌƌĂƐ� ĚŽ� ďĂŶnjŽ� ƐƵƉĞƌŝŽƌ� ĚĂ� ƚĞƐŽƵƌĂ͕� ĚŝŵŝŶƵŝŶĚŽ� ƐƵĂ� ĐĂƉĂĐŝĚĂĚĞ�
ƌĞƐŝƐƚĞŶƚĞ͘
��ĐŽƌƌĞƚŽ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /͕�//�Ğ�///͕�ĂƉĞŶĂƐ͘
B /͕�//�Ğ�/s͕�ĂƉĞŶĂƐ͘
C /͕�///�Ğ�/s͕�ĂƉĞŶĂƐ͘
D //͕�///�Ğ�/s͕�ĂƉĞŶĂƐ͘
E /͕�//͕�///�Ğ�/s͘
*R12201424*
25
�E'�E,�Z/���/s/>
QUESTÃO 29
KƐ�ƌĞƐĞƌǀĂƚſƌŝŽƐ�ƚġŵ�ƉŽƌ�ĮŶĂůŝĚĂĚĞ�ĂĐƵŵƵůĂƌ�ƉĂƌƚĞ�
ĚĂƐ�ĄŐƵĂƐ�ĚŝƐƉŽŶşǀĞŝƐ�ŶŽƐ�ƉĞƌşŽĚŽƐ�ĐŚƵǀŽƐŽƐ�ĐŽŵŽ�
ĨŽƌŵĂ�ĚĞ�ƉƌĞǀĞŶŝƌ� Ă� ĨĂůƚĂ�ĚĞ�ĄŐƵĂ�ŶŽƐ�ƉĞƌşŽĚŽƐ�ĚĞ�
ƐĞĐĂ� ;ĞƐƟĂŐĞŵͿ͘� hŵ� ƌĞƐĞƌǀĂƚſƌŝŽ͕� ƐŽď� Ž� ƉŽŶƚŽ� ĚĞ�
ǀŝƐƚĂ�ĚĞ� ƐƵĂ� ĨŽƌŵĂ͕� ƉŽƐƐƵŝ� ŶşǀĞŝƐ� Ğ� ǀŽůƵŵĞƐ�Ě Ą͛ŐƵĂ�
ĐĂƌĂĐƚĞƌşƐƟĐŽƐ͕�ďĞŵ�ĐŽŵŽ�ĐĂƉĂĐŝĚĂĚĞ�ĚĞ�ƌĞƐĞƌǀĂ͘�
�Žŵ�ƌĞůĂĕĆŽ�ĂŽƐ�ŶşǀĞŝƐ�Ğ�ǀŽůƵŵĞƐ�ĚŽƐ�ƌĞƐĞƌǀĂƚſƌŝŽƐ͕�
ĂǀĂůŝĞ�ĂƐ�ƐĞŐƵŝŶƚĞƐ�ĂĮƌŵĂĕƁĞƐ͘
/͘� K�ŶşǀĞů� ĚĞ� ĄŐƵĂ�ŵĄdžŝŵŽ�ŽƉĞƌĂĐŝŽŶĂů� ĚĞ�Ƶŵ�
ƌĞƐĞƌǀĂƚſƌŝŽ� ĐŽƌƌĞƐƉŽŶĚĞ� ă� ĐŽƚĂ� ŵĄdžŝŵĂ�
ƉĞƌŵŝƟĚĂ� ƉĂƌĂ� Ă� ŽƉĞƌĂĕĆŽ� ŶŽƌŵĂů� ĚŽ�
ƌĞƐĞƌǀĂƚſƌŝŽ͘
//͘� K� ŶşǀĞů� ĚĞ� ĄŐƵĂ�ŵşŶŝŵŽ� ŽƉĞƌĂĐŝŽŶĂů� ĚĞ� Ƶŵ�
ƌĞƐĞƌǀĂƚſƌŝŽ� ĐŽƌƌĞƐƉŽŶĚĞ� ă� ĐŽƚĂ� ŵşŶŝŵĂ�
ŶĞĐĞƐƐĄƌŝĂ�ƉĂƌĂ�Ă�ŽƉĞƌĂĕĆŽ�ĚŽ�ƌĞƐĞƌǀĂƚſƌŝŽ͘
///͘� K� ǀŽůƵŵĞ� ŵŽƌƚŽ� ĚĞ� Ƶŵ� ƌĞƐĞƌǀĂƚſƌŝŽ�
ĐŽƌƌĞƐƉŽŶĚĞ� ă� ƉĂƌĐĞůĂ� ĚŽ� ƐĞƵ� ǀŽůƵŵĞ� ƚŽƚĂů�
ŝŶĂƟǀĂ�ŽƵ� ŝŶĚŝƐƉŽŶşǀĞů�ƉĂƌĂ�ĮŶƐ�ĚĞ�ĐĂƉƚĂĕĆŽ�
ĚĞ�ĄŐƵĂ͕�ĐŽŵƉƌĞĞŶĚŝĚŽ�ĞŶƚƌĞ�Ž�ŶşǀĞů�ĚĞ�ĄŐƵĂ�
ŵşŶŝŵŽ�ŽƉĞƌĂĐŝŽŶĂů�Ğ�Ž�ŶşǀĞů�ĚĞ�ĄŐƵĂ�ŵĄdžŝŵŽ�
ŽƉĞƌĂĐŝŽŶĂů͕� ƋƵĞ� ĚĞǀĞ� ƐĞƌ� ƉƌĞƐĞƌǀĂĚŽ� ƉĂƌĂ�
ĞŵĞƌŐġŶĐŝĂƐ͘
/s͘ � K�ǀŽůƵŵĞ�ƷƟů�ĚĞ�Ƶŵ�ƌĞƐĞƌǀĂƚſƌŝŽ�ĐŽƌƌĞƐƉŽŶĚĞ�
ĂŽ� ǀŽůƵŵĞ� ĐŽŵƉƌĞĞŶĚŝĚŽ� ĞŶƚƌĞ� ŽƐ� ŶşǀĞŝƐ�
ĚĞ� ĄŐƵĂ� ŵşŶŝŵŽ� ŽƉĞƌĂĐŝŽŶĂů� Ğ� ŵĄdžŝŵŽ�
ŽƉĞƌĂĐŝŽŶĂů͕�ĚĞƐĐŽŶƚĂĚŽ�Ž�ǀŽůƵŵĞ�ŵŽƌƚŽ͘
��ĐŽƌƌĞƚŽ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /s͕�ĂƉĞŶĂƐ͘
B /�Ğ�//͕�ĂƉĞŶĂƐ͘
C ///�Ğ�/s͕�ĂƉĞŶĂƐ͘
D /͕�//�Ğ�///͕�ĂƉĞŶĂƐ͘
E /͕�//͕�///�Ğ�/s͘
ÁREA LIVRE
QUESTÃO 30
�Ž�ĂĐŽŵƉĂŶŚĂƌ�ŽƐ�ƐĞƌǀŝĕŽƐ�ĚĞ�ŝŵƉůĂŶƚĂĕĆŽ�ĚĞ�ƵŵĂ�
ƌŽĚŽǀŝĂ͕� Ƶŵ� ĮƐĐĂů� ŵĂŶĚŽƵ� ƐƵƐƉĞŶĚĞƌ� ŽƐ� ƐĞƌǀŝĕŽƐ�
Ğŵ�ϰ�ƚƌĞĐŚŽƐ�ĚŝƐƟŶƚŽƐ�ƉŽƌ�ƚĞƌ�ĞŶĐŽŶƚƌĂĚŽ�ĂƐ�ĨĂůŚĂƐ�
ĂƉƌĞƐĞŶƚĂĚĂƐ�ŶŽ�ƋƵĂĚƌŽ�Ă�ƐĞŐƵŝƌ͘
Trecho &ĂůŚĂƐ�ŝĚĞŶƟĮĐĂĚĂƐ�ŶŽ�ĐĂŵƉŽ
1
�Ž�ƚĞƌŵŝŶĂƌ�Ă�ĐŽŵƉĂĐƚĂĕĆŽ�ĚĂ�ĐĂŵĂĚĂ�ĚĞ�
ďĂƐĞ͕�Ă�ĞƋƵŝƉĞ�ĂƉůŝĐŽƵ�ĚŝƌĞƚĂŵĞŶƚĞ�Ž�ĂƐĨĂůƚŽ�
ĚŝůƵşĚŽ�ƐŽďƌĞ�Ă�ďĂƐĞ�ĂƌĞŶŽƐĂ�ĂŝŶĚĂ�ƷŵŝĚĂ͘
2
K� 1ŶĚŝĐĞ� ĚĞ� ^ƵƉŽƌƚĞ� �ĂůŝĨſƌŶŝĂ� ;��ZͿ� ĚĂ�
ĐĂŵĂĚĂ�ŶĆŽ�ĂƟŶŐŝƵ�Ž�ǀĂůŽƌ�ŵşŶŝŵŽ�ĚĞ�ϴϬй�
ĞƐƉĞĐŝĮĐĂĚŽ�Ğŵ�ŶŽƌŵĂ͘
ϯ �� ĞdžƉĂŶƐĆŽ� ĨŽƌŶĞĐĞƵ� ǀĂůŽƌĞƐ� ƐƵƉĞƌŝŽƌĞƐ� Ă�ϭй͕�ĐŽŶƚƌĂƌŝĂŶĚŽ�ĂƐ�ĞƐƉĞĐŝĮĐĂĕƁĞƐ͘
4
EĆŽ�ŚĂǀŝĂ� ƉŽůşŵĞƌŽ�ŶŽ� ůŝŐĂŶƚĞ� ĞŵƉƌĞŐĂĚŽ�
ŶĂ�ŵĂŶƵƚĞŶĕĆŽ�ƉƌĞǀĞŶƟǀĂ�ĚŽ�ƌĞǀĞƐƟŵĞŶƚŽ͘
KƐ�ƐĞƌǀŝĕŽƐ�Ğŵ�ƋƵĞ�ĨŽƌĂŵ�ŝĚĞŶƟĮĐĂĚĂƐ�ĂƐ�ĨĂůŚĂƐ�ŶŽƐ�
ƚƌĞĐŚŽƐ�ϭ͕�Ϯ͕�ϯ�Ğ�ϰ͕�ƌĞƐƉĞĐƟǀĂŵĞŶƚĞ͕�ƐĆŽ
A ŝŵƉƌŝŵĂĕĆŽ͕�ĞdžĞĐƵĕĆŽ�ĚĂ�ďĂƐĞ͕�ĞdžĞĐƵĕĆŽ�ĚĂ�ƐƵďͲ
ďĂƐĞ�Ğ�ĂƉůŝĐĂĕĆŽ�ĚĂ�ůĂŵĂ�ĂƐĨĄůƟĐĂ͘
B ŝŵƉƌŝŵĂĕĆŽ͕�ĞdžĞĐƵĕĆŽ�ĚĂ�ƐƵďͲďĂƐĞ͕�ĞdžĞĐƵĕĆŽ�ĚĂ�
ďĂƐĞ�Ğ�ĂƉůŝĐĂĕĆŽ�ĚĂ�ůĂŵĂ�ĂƐĨĄůƟĐĂ͘
C ŝŵƉƌŝŵĂĕĆŽ͕�ĞdžĞĐƵĕĆŽ�ĚĂ�ďĂƐĞ͕�ĞdžĞĐƵĕĆŽ�ĚĂ�ƐƵďͲ
ďĂƐĞ�Ğ�ĂƉůŝĐĂĕĆŽ�ĚŽ�ŵŝĐƌŽƌƌĞǀĞƐƟŵĞŶƚŽ͘
D ĂƉůŝĐĂĕĆŽ� ĚĂ� ƉŝŶƚƵƌĂ� ĚĞ� ůŝŐĂĕĆŽ͕� ĞdžĞĐƵĕĆŽ� ĚĂ�
ďĂƐĞ͕� ĞdžĞĐƵĕĆŽ� ĚĂ� ƐƵďͲďĂƐĞ� Ğ� ĂƉůŝĐĂĕĆŽ� ĚŽ�
ŵŝĐƌŽƌƌĞǀĞƐƟŵĞŶƚŽ͘
E ĂƉůŝĐĂĕĆŽ� ĚĂ� ƉŝŶƚƵƌĂ� ĚĞ� ůŝŐĂĕĆŽ͕� ĞdžĞĐƵĕĆŽ� ĚĂ�
ƐƵďͲďĂƐĞ͕� ĞdžĞĐƵĕĆŽ� ĚĂ� ďĂƐĞ� Ğ� ĂƉůŝĐĂĕĆŽ� ĚŽ�
ŵŝĐƌŽƌƌĞǀĞƐƟŵĞŶƚŽ͘
ÁREA LIVRE
*R12201425*
26
�E'�E,�Z/���/s/>
QUESTÃO 31 
K� ĂƉƌŽǀĞŝƚĂŵĞŶƚŽ� ĚĞ� ĄŐƵĂƐ� ƉůƵǀŝĂŝƐ� ƉĂƌĂ� Į�ŶƐ� ŶĆŽ�
ƉŽƚĄǀĞŝƐ�ƉŽĚĞ�ĐŽŶƚƌŝďƵŝƌ�ƉĂƌĂ�Ă�ƌĞĚƵĕĆŽ�ĚŽ�ĐŽŶƐƵŵŽ�
ĚĞ�ĄŐƵĂ�ƉŽƚĄǀĞů�ŶĂƐ�ĞĚŝĮ�ĐĂĕƁĞƐ͕� ƐĞŶĚŽ�ƵŵĂ�ŽƉĕĆŽ�
ŝŶƚĞƌĞƐƐĂŶƚĞ� ƋƵĂŶĚŽ� ƐĞ� ƚƌĂƚĂ� ĚĞ� ƚĞŵĂƐ� ƌĞůĞǀĂŶƚĞƐ�
ĐŽŵŽ�Ž�ĚĂ�ĐŽŶƐĞƌǀĂĕĆŽ�ĚĂ�ĄŐƵĂ͘
�Žŵ� ƌĞůĂĕĆŽ� ĂŽ� ĂƉƌŽǀĞŝƚĂŵĞŶƚŽ� ĚĞ� ĄŐƵĂƐ� ƉůƵǀŝĂŝƐ�
Ğŵ� ĞĚŝĮ�ĐĂĕƁĞƐ� ƌĞƐŝĚĞŶĐŝĂŝƐ͕� ĂǀĂůŝĞ� ĂƐ� ĂĮ�ƌŵĂĕƁĞƐ� Ă�
ƐĞŐƵŝƌ͘
/͘� �� ǀŝĂďŝůŝĚĂĚĞ� ĚĞ� ƵƟ�ůŝnjĂĕĆŽ� ĚĞ� ĄŐƵĂƐ� ƉůƵǀŝĂŝƐ�
ĐŽŵŽ� ĨŽŶƚĞ� ĂďĂƐƚĞĐĞĚŽƌĂ� ĂůƚĞƌŶĂƟ�ǀĂ�
ĚĞƉĞŶĚĞ�ĚĂ�ƋƵĂŶƟ�ĚĂĚĞ�ĚĞ�ĄŐƵĂ�ĐĂƉƚĄǀĞů�ĚŽ�
ƐŝƐƚĞŵĂ͕�ƋƵĞ�ǀĂƌŝĂ�ĚĞ�ĂĐŽƌĚŽ�ĐŽŵ�Ă�ĄƌĞĂ�ĚĞ�
ĐĂƉƚĂĕĆŽ�Ğ�Ž�ǀŽůƵŵĞ�ĚĞ�ĂƌŵĂnjĞŶĂŵĞŶƚŽ�ĚĞ�
ĄŐƵĂ� ĚĞ� ĐŚƵǀĂ͕� ƐĞŶĚŽ� ŝŶŇ�ƵĞŶĐŝĂĚĂ� ƚĂŵďĠŵ�
ƉĞůŽ� şŶĚŝĐĞ� ƉůƵǀŝŽŵĠƚƌŝĐŽ� ĚĂ� ƌĞŐŝĆŽ� Ğ� ƉĞůŽ�
ĐŽĞĮ�ĐŝĞŶƚĞ�ĚĞ�ĞƐĐŽĂŵĞŶƚŽ�ƐƵƉĞƌĮ�ĐŝĂů͘
//͘� K� ƐŝƐƚĞŵĂ� ĚĞ� ĂƉƌŽǀĞŝƚĂŵĞŶƚŽ� ĚĂ� ĄŐƵĂ� ĚĂ�
ĐŚƵǀĂ͕� ƉŽƌ� ƐĞƌ� ĚĞƐĐĞŶƚƌĂůŝnjĂĚŽ� ĚŽ� ƐŝƐƚĞŵĂ�
ĚĞ� ĂďĂƐƚĞĐŝŵĞŶƚŽ� ĚĞ� ĄŐƵĂ͕� ƌĞƋƵĞƌ� ĐƵŝĚĂĚŽƐ�
ĞƐƉĞĐşĮ�ĐŽƐ� ĐŽŵŽ͕� ƉŽƌ� ĞdžĞŵƉůŽ͕� ƌĞƐĞƌǀĂƚſƌŝŽ�
ŝŶĚĞƉĞŶĚĞŶƚĞ͕�ƉĂƌĂ�ƋƵĞ�ŶĆŽ�ƐĞ�ŵŝƐƚƵƌĞ�ĐŽŵ�Ă�
ĄŐƵĂ�ƉƌŽǀĞŶŝĞŶƚĞ�ĚĂ�ƌĞĚĞ�ĚĞ�ĚŝƐƚƌŝďƵŝĕĆŽ͘�
///͘� �� ƵƟ�ůŝnjĂĕĆŽ� ĚĂ� ĄŐƵĂ� ĚĂ� ĐŚƵǀĂ� ƉŽĚĞ� ĂƵdžŝůŝĂƌ�
ŶĂ� ƌĞĚƵĕĆŽ� ĚŽ� ĞƐĐŽĂŵĞŶƚŽ� ƐƵƉĞƌĮ�ĐŝĂů͕�
ŵŝŶŝŵŝnjĂŶĚŽ� ŽƐ� ƉƌŽďůĞŵĂƐ� ĐŽŵ� ĞŶĐŚĞŶƚĞƐ�
ŶĂƐ�ŐƌĂŶĚĞƐ�ĐŝĚĂĚĞƐ͘
/s͘ � �� ĄŐƵĂ� ƉƌŽǀĞŶŝĞŶƚĞ� ĚĂ� ĐŚƵǀĂ͕� ŵĞƐŵŽ�
ƉĂƐƐĂŶĚŽ� ƉŽƌ� ƉƌŽĐĞƐƐŽ� ĚĞ� ĚĞƐŝŶĨĞĐĕĆŽ͕� ŶĆŽ�
ĚĞǀĞ�ƐĞƌ�ĂƉƌŽǀĞŝƚĂĚĂ�ƉĂƌĂ�Į�ŶƐ�ƉŽƚĄǀĞŝƐ͘
��ĐŽƌƌĞƚŽ�Ž�ƋƵĞ�ƐĞ�ĂĮ�ƌŵĂ�Ğŵ
A /͕�//�Ğ�///͕�ĂƉĞŶĂƐ͘�
B /͕�//�Ğ�/s͕�ĂƉĞŶĂƐ͘
C /͕�///�Ğ�/s͕�ĂƉĞŶĂƐ͘
D //͕�///�Ğ�/s͕�ĂƉĞŶĂƐ͘
E /͕�//͕�///�Ğ�/s͘
QUESTÃO 32 
��Į�ŐƵƌĂ�ĂďĂŝdžŽ�ƌĞƉƌĞƐĞŶƚĂ�ƵŵĂ�ĞƐƚƌƵƚƵƌĂ�ƉůĂŶĂ͕�ŶĂ�
ƋƵĂů�ĂƐ�ĨŽƌĕĂƐ�Wϭ�Ğ�WϮ�ƚġŵ�ŵſĚƵůŽƐ�ŝŐƵĂŝƐ�Ă�ϱ�ŬE�Ğ�
ϭϬ�ŬE͕�ƌĞƐƉĞĐƟ�ǀĂŵĞŶƚĞ͘
P1
P2
A
B
C E
D2 m
3 m
2,5
 m
1,5 m
h = 4 m
�Žŵ� ƌĞůĂĕĆŽ� ă� ƐŝƚƵĂĕĆŽ� ĂƉƌĞƐĞŶƚĂĚĂ͕� ĂǀĂůŝĞ� ĂƐ�
ĂĮ�ƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� K�ŵŽŵĞŶƚŽ� Ň�ĞƚŽƌ� ŶĂ� ĞdžƚƌĞŵŝĚĂĚĞ� ĚĂ� ďĂƌƌĂ�
ŚŽƌŝnjŽŶƚĂů�;ƉŽŶƚŽ��Ϳ�ǀĂůĞ�D�с�ϭϱ�ŬE͘ŵ͘
//͘� K� ŵſĚƵůŽ� ĚĞ� ĞůĂƐƟ�ĐŝĚĂĚĞ� Ğ� ĂƐ� ŵĞĚŝĚĂƐ�
ĚĂ� ƐĞĕĆŽ� ƚƌĂŶƐǀĞƌƐĂů� ŶĆŽ� ŝŶŇ�ƵĞŶĐŝĂŵ� ŶĂ�
ĚĞƚĞƌŵŝŶĂĕĆŽ�ĚŽƐ�ĞƐĨŽƌĕŽƐ�ŶĂƐ�ďĂƌƌĂƐ͕�ƉŽƌ�ƐĞ�
ƚƌĂƚĂƌ�ĚĞ�ƵŵĂ�ĞƐƚƌƵƚƵƌĂ�ŝƐŽƐƚĄƟ�ĐĂ͘�
///͘� �� ĨŽƌĕĂ� Wϭ� ĨĂnj� ĐŽŵ� ƋƵĞ� Ă� ďĂƌƌĂ� ��� Į�ƋƵĞ�
ƐƵďŵĞƟ�ĚĂ�ă�Ň�ĞdžĆŽ�ŽďůşƋƵĂ͘
/s͘ � K�ĚŝĂŐƌĂŵĂ�ĚĞ�ĞƐĨŽƌĕŽƐ�ĂdžŝĂŝƐ�ŶĂ�ďĂƌƌĂ����Ġ�
ŶƵůŽ͘
��ĐŽƌƌĞƚŽ�ĂƉĞŶĂƐ�Ž�ƋƵĞ�ƐĞ�ĂĮ�ƌŵĂ�Ğŵ
A /�Ğ�//͘
B /�Ğ�///͘
C //�Ğ�/s͘
D /͕�///�Ğ�/s͘
E //͕�///�Ğ�/s͘
ÁREA LIVRE 
*R12201426*
27
�E'�E,�Z/���/s/>
QUESTÃO 33 
hŵ�ŵƵŶŝĐşƉŝŽ�ƉůĂŶĞũĂ�ŝŵƉůĂŶƚĂƌ�Ƶŵ�ĐŽŶĚŽŵşŶŝŽ�ĐŽŵ�ϯϬϬ�ƵŶŝĚĂĚĞƐ�ŚĂďŝƚĂĐŝŽŶĂŝƐ�ƉĂƌĂ�Į�ŶƐ�ĚĞ�ŵŽƌĂĚŝĂ�ƉŽƉƵůĂƌ�
Ğŵ�ƵŵĂ�ĄƌĞĂ�ĚĞ�ƐƵĂ�ƉƌŽƉƌŝĞĚĂĚĞ͘��ƵĂƐ�ŵŽĚĂůŝĚĂĚĞƐ�ĚĞ�ĐŽŶƐƚƌƵĕĆŽ�ĞƐƚĆŽ�Ğŵ�ĞƐƚƵĚŽ͗�ϯϬϬ�ĐĂƐĂƐ�ƚĠƌƌĞĂƐ�ŽƵ�
Ϯϱ�ƉƌĠĚŝŽƐ�ĚĞ�ϰ�ƉĂǀŝŵĞŶƚŽƐ͘�/ŶŝĐŝĂůŵĞŶƚĞ͕�ĨŽƌĂŵ�ƌĞĂůŝnjĂĚŽƐ�ĞŶƐĂŝŽƐ�ĚŽ�Ɵ�ƉŽ��Wd�;�ŽŶĞ�WĞŶĞƚƌĂƟ�ŽŶ�dĞƐƚͿ͘�KƐ�
ƌĞƐƵůƚĂĚŽƐ�ơ�ƉŝĐŽƐ�ƌĞƉƌĞƐĞŶƚĂƟ�ǀŽƐ�ĚŽ�ƚĞƌƌĞŶŽ�ƐĆŽ�ĂƉƌĞƐĞŶƚĂĚŽƐ�ŶĂ�Į�ŐƵƌĂ�Ă�ƐĞŐƵŝƌ͕ �Ğŵ�ƋƵĞ�qc e fs�ƌĞƉƌĞƐĞŶƚĂŵ�
ĂƐ�ƌĞƐŝƐƚġŶĐŝĂƐ�ĚĞ�ƉŽŶƚĂ�Ğ�ůĂƚĞƌĂů͕�ƌĞƐƉĞĐƟ�ǀĂŵĞŶƚĞ͕�Ğ�R Ġ�Ă�ƌĞůĂĕĆŽ�ĞŶƚƌĞ�ĞƐƐĂƐ�ƌĞƐŝƐƚġŶĐŝĂƐ͘
aterro de silte
argiloso
argila mole
areia
0
0
-1
-2
-3
-4
-5z
 (m
)
-6
-7
-8
-9
-10
10000 20000 30000
q (kPa)c
0 200 400 600 800
0
-1
-2
-3
-4
-5z
 (m
)
-6
-7
-8
-9
-10
fs (kPa)
0 2 4 6
0
-1
-2
-3
-4
-5z
 (m
)
-6
-7
-8
-9
-10
R (%)
�Žŵ� ƌĞůĂĕĆŽ� ă� ǀŝĂďŝůŝĚĂĚĞ� ƚĠĐŶŝĐĂ� Ğ� ĞĐŽŶƀŵŝĐĂ� ĚĞƐƐĞ� ƉƌŽũĞƚŽ͕� Ă� ƉĂƌƟ�ƌ� ĚĂƐ� ĐĂƌĂĐƚĞƌşƐƟ�ĐĂƐ� ĚŽ� ƚĞƌƌĞŶŽ�
ĂƉƌĞƐĞŶƚĂĚĂƐ�ĂĐŝŵĂ͕�ĐŽŶĐůƵŝͲƐĞ�ƋƵĞ
A Ă�ŽƉĕĆŽ�ƉĞůĂƐ�ĐĂƐĂƐ�ƚĠƌƌĞĂƐ�ĚĞŵĂŶĚĂ�ĨƵŶĚĂĕƁĞƐ�ƐƵƉĞƌĮ�ĐŝĂŝƐ�ŶŽ�ƚĞƌƌĞŶŽ͕�ĞŶƋƵĂŶƚŽ�Ă�ŽƉĕĆŽ�ƉŽƌ�ƉƌĠĚŝŽƐ�ĚĞ�
ϰ�ƉĂǀŝŵĞŶƚŽƐ�ĚĞŵĂŶĚĂ�ĨƵŶĚĂĕƁĞƐ�ƉƌŽĨƵŶĚĂƐ͕�ƉŽƌƚĂŶƚŽ�ŵĂŝƐ�ĐĂƌĂƐ͘
B ĂƐ� ĚƵĂƐ� ŽƉĕƁĞƐ� Ğŵ� ĞƐƚƵĚŽ� ĚĞŵĂŶĚĂŵ� ĨƵŶĚĂĕƁĞƐ� ƐƵƉĞƌĮ�ĐŝĂŝƐ� ŶŽ� ƚĞƌƌĞŶŽ͕� ƐĞŶĚŽ� ŶĞĐĞƐƐĄƌŝŽ� Ž� ƉƌĠǀŝŽ�
ĚŝŵĞŶƐŝŽŶĂŵĞŶƚŽ�ĚĞ�ĐĂĚĂ�ƵŵĂ�ĚĞůĂƐ�ƉĂƌĂ�ƐĞ�ĂǀĂůŝĂƌ�Ă�ƐƵĂ�ǀŝĂďŝůŝĚĂĚĞ�ĞĐŽŶƀŵŝĐĂ͘
C ĂƐ� ĚƵĂƐ� ŽƉĕƁĞƐ� Ğŵ� ĞƐƚƵĚŽ� ĚĞŵĂŶĚĂŵ� ĨƵŶĚĂĕƁĞƐ� ƉƌŽĨƵŶĚĂƐ� ŶŽ� ƚĞƌƌĞŶŽ͕� ƐĞŶĚŽ� ŝŶĚŝƐƉĞŶƐĄǀĞů� Ž�
ĚŝŵĞŶƐŝŽŶĂŵĞŶƚŽ�ĚĞƐƐĂƐ�ĚƵĂƐ�ŵŽĚĂůŝĚĂĚĞƐ�ĚĞ�ĨƵŶĚĂĕĆŽ�ƉĂƌĂ�ƐĞ�ĂǀĂůŝĂƌ�Ă�ǀŝĂďŝůŝĚĂĚĞ�ĞĐŽŶƀŵŝĐĂ�ĚĞ�ĐĂĚĂ�
ƵŵĂ�ĚĞůĂƐ͘
D ĂƐ�ĚƵĂƐ�ŽƉĕƁĞƐ�Ğŵ�ĞƐƚƵĚŽ�ĚĞŵĂŶĚĂŵ�ĨƵŶĚĂĕƁĞƐ�ƉƌŽĨƵŶĚĂƐ�ŶŽ� ƚĞƌƌĞŶŽ͕�ŵĂƐ�ĐŽŵŽ�ĂƐ�ĚŝŵĞŶƐƁĞƐ�ĚĂƐ�
ĨƵŶĚĂĕƁĞƐ�ĚŽƐ�ƉƌĠĚŝŽƐ�ƚĞƌĆŽ�ƋƵĞ�ƐĞƌ�ŵĂŝŽƌĞƐ͕�Ž�ĐƵƐƚŽ�ĚĂƐ�ĨƵŶĚĂĕƁĞƐ�ƉŽƌ�ƵŶŝĚĂĚĞ�ŚĂďŝƚĂĐŝŽŶĂů�ƐĞƌĄ�ŵĂŝƐ�
ĂůƚŽ�ƉĂƌĂ�ŽƐ�ƉƌĠĚŝŽƐ�ƋƵĞ�ƉĂƌĂ�ĂƐ�ĐĂƐĂƐ�ƚĠƌƌĞĂƐ͘
E ĂƐ�ĚƵĂƐ�ŽƉĕƁĞƐ�Ğŵ�ĞƐƚƵĚŽ�ĚĞŵĂŶĚĂŵ�ĨƵŶĚĂĕƁĞƐ�ƉƌŽĨƵŶĚĂƐ�ŶŽ�ƚĞƌƌĞŶŽ͕�ŵĂƐ�ĂƐ�ĚŝŵĞŶƐƁĞƐ�ĚĂƐ�ĨƵŶĚĂĕƁĞƐ�
ĚĞ�ĂŵďĂƐ�ĞĚŝĮ�ĐĂĕƁĞƐ�ƐĞƌĆŽ�ƐŝŵŝůĂƌĞƐ͕�ĨĂnjĞŶĚŽ�ĐŽŵ�ƋƵĞ�Ž�ĐƵƐƚŽ�ĚĂƐ�ĨƵŶĚĂĕƁĞƐ�ƉŽƌ�ƵŶŝĚĂĚĞ�ŚĂďŝƚĂĐŝŽŶĂů�ƉĂƌĂ�ŽƐ�ƉƌĠĚŝŽƐ�ƐĞũĂ�ŵĞŶŽƌ�ƋƵĞ�ƉĂƌĂ�ĂƐ�ĐĂƐĂƐ�ƚĠƌƌĞĂƐ͘
*R12201427*
Ϯϴ
�E'�E,�Z/���/s/>
QUESTÃO 34
EŽ�ƋƵĂĚƌŽ�ĂďĂŝdžŽ�Ġ�ĂƉƌĞƐĞŶƚĂĚŽ�Ž�ƌĞƐƵůƚĂĚŽ�ĚŽ�ĐĄůĐƵůŽ�ĚĞ�ĐĂƉĂĐŝĚĂĚĞ�ĚĞ�ĐĂƌŐĂ�ƉĂƌĂ�ƵŵĂ�ĞƐƚĂĐĂ�ĚŽ�ƟƉŽ�ƌĂŝnj�
ĚĞ�ϮϮ�Đŵ�ĚĞ�ĚŝąŵĞƚƌŽ͕�ĐŽŶƐŝĚĞƌĂŶĚŽ�Ž�ĂƌƌĂƐĂŵĞŶƚŽ�ŶĂ�ĐŽƚĂ��ϭ͕ϱ�ŵ͕�ŶŽ�ƋƵĂů�ƐĞ�ĞŵƉƌĞŐŽƵ�Ž�ŵĠƚŽĚŽ�ƐĞŵŝͲ
ĞŵƉşƌŝĐŽ�ĚĞ��ĠĐŽƵƌƚ�Ğ�YƵĂƌĞƐŵĂ͘�
WƌŽĨƵŶĚŝĚĂĚĞ�;ŵͿ Resistência de ponta Qp (kN) Resistência lateral QI (kN)
�1 Ϭ͕ϬϬ Ϭ͕ϬϬ
�2 ϱϳ͕ϳϯ Ϯϴ͕Ϯϴ
�ϯ ϴϲ͕ϲϬ ϲϮ͕Ϯϭ
�4 ϱϳ͕ϳϯ ϵϬ͕ϰϴ
�5 ϴϲ͕ϲϬ ϭϮϰ͕ϰϭ
�6 ϱϳ͕ϳϯ ϭϱϮ͕ϲϵ
�7 ϴϲ͕ϲϬ ϭϴϲ͕ϲϮ
�ϴ ϱϳ͕ϳϯ Ϯϭϰ͕ϴϵ
�9 ϭϲϵ͕ϴϬ Ϯϯϯ͕ϳϰ
�10 ϭϲϵ͕ϴϬ ϮϱϮ͕ϱϵ
�11 ϮϮϲ͕ϰϬ Ϯϳϰ͕ϱϴ
�12 ϰϱϮ͕ϴϬ ϯϬϵ͕ϭϰ
�ϭϯ ϰϱϮ͕ϴϬ ϯϰϯ͕ϳϬ
�14 ϱϬϵ͕ϰϬ ϯϴϭ͕ϰϬ
�15 ϭ͘ϱϮϴ͕ϮϬ ϰϳϱ͕ϲϱ
�16 ϭ͘ϵϴϭ͕ϬϬ ϱϵϱ͕Ϭϯ
^ĂďĞͲƐĞ�ƋƵĞ�Ž�ĐĂƌƌĞŐĂŵĞŶƚŽ�ĚĞ�ĐĄůĐƵůŽ�Ă�ƐĞƌ�ƐƵƉŽƌƚĂĚŽ�Ġ�ĚĞ�ϱϬϬ�ŬE͘�WĂƌĂ�Ž�ĚŝŵĞŶƐŝŽŶĂŵĞŶƚŽ�ĮŶĂů�ĚŽ�
ƉƌŽũĞƚŽ� ƐĞƌĄ� ƌĞĂůŝnjĂĚĂ� ƵŵĂ� ƉƌŽǀĂ� ĚĞ� ĐĂƌŐĂ͕� ƐĞŶĚŽ� ĞdžĞĐƵƚĂĚĂ͕� ƉĂƌĂ� ƚĂů͕� ƵŵĂ� ĞƐƚĂĐĂͲƚĞƐƚĞ͕� ĚĞǀĞŶĚŽͲƐĞ�
ĚĞ�ĂŶƚĞŵĆŽ�ĚĞĮŶŝƌ� ƐĞƵ� ĐŽŵƉƌŝŵĞŶƚŽ͘�EŽ�ƋƵĂĚƌŽ�Ă� ƐĞŐƵŝƌ� ƐĆŽ�ĂƉƌĞƐĞŶƚĂĚŽƐ�ŽƐ� ĨĂƚŽƌĞƐ�ĚĞ� ƐĞŐƵƌĂŶĕĂ�Ğ�
ĐŽĞĮĐŝĞŶƚĞƐ�ĚĞ�ŵŝŶŽƌĂĕĆŽ�ƉĂƌĂ�ƐŽůŝĐŝƚĂĕƁĞƐ�ĚĞ�ĐŽŵƉƌĞƐƐĆŽ�Ğŵ�ĨƵŶĚĂĕƁĞƐ�ƉƌŽĨƵŶĚĂƐ�ĚĞĮŶŝĚŽƐ�ƉĞůĂ�ŶŽƌŵĂ�
��Ed�E�Z�ϲ͘ϭϮϮͬϮϬϭϬ͘
Método para a 
determinação da 
ƌĞƐŝƐƚġŶĐŝĂ�ƷůƟŵĂ
�ŽĞĮĐŝĞŶƚĞ�ĚĞ�ŵŝŶŽƌĂĕĆŽ�
ĚĂ�ƌĞƐŝƐƚġŶĐŝĂ�ƷůƟŵĂ Fator de segurança global
^ĞŵŝͲĞŵƉşƌŝĐŽ ϭ͕ϰϬ Ϯ͕ϬϬ
WƌŽǀĂ�ĚĞ�ĐĂƌŐĂ ϭ͕ϭϰ ϭ͕ϲϬ
�Žŵ�ďĂƐĞ�ŶĞƐƐĂƐ�ŝŶĨŽƌŵĂĕƁĞƐ͕�ĐŽŶĐůƵŝͲƐĞ�ƋƵĞ�Ă�ĐŽƚĂ�ŽƵ�ƉƌŽĨƵŶĚŝĚĂĚĞ�Ă�ƐĞƌ�ĞdžĞĐƵƚĂĚĂ�Ă�ĞƐƚĂĐĂͲƚĞƐƚĞ�ƉĂƌĂ�Ă�
ƌĞĂůŝnjĂĕĆŽ�ĚĂ�ƉƌŽǀĂ�ĚĞ�ĐĂƌŐĂ�ĚĞǀĞ�ƐĞƌ�ĚĞ
A �ϭϲ�ŵ͘
B �ϭϱ�ŵ͘
C �ϭϰ�ŵ͘
D �ϭϯ�ŵ͘
E �ϭϮ�ŵ͘
*R12201428*
29
�E'�E,�Z/���/s/>
QUESTÃO 35
�Žŵ� ŽƐ� ďĂŝdžŽƐ� şŶĚŝĐĞƐ� ƉůƵǀŝŽŵĠƚƌŝĐŽƐ� ŽĐŽƌƌŝĚŽƐ� ŶŽƐ� ƷůƟŵŽƐ� ĂŶŽƐ͕� Ž� ĂďĂƐƚĞĐŝŵĞŶƚŽ� ĚĞ� ĄŐƵĂ� ĞŶƚƌŽƵ�
ĚĞĮŶŝƟǀĂŵĞŶƚĞ�ŶĂ�ĂŐĞŶĚĂ�ĚĞ�ƉƌŝŽƌŝĚĂĚĞƐ�ĚŽ�ƉĂşƐ͘���ƐŽůƵĕĆŽ�ĚĞƐƐĞ�ƉƌŽďůĞŵĂ�ƉĂƐƐĂ�ƉĞůŽ�ĐŝĚĂĚĆŽͲĐŽŶƐƵŵŝĚŽƌ͕ �
ƋƵĞ�ĚĞǀĞ�ƉƌŽŵŽǀĞƌ�Ž�ƵƐŽ�ƌĂĐŝŽŶĂů�ĚĂ�ĄŐƵĂ͕�ƐĞŵ�ĚĞƐƉĞƌĚşĐŝŽƐ͘�WŽƌ�ŽƵƚƌŽ�ůĂĚŽ͕�ĐĂďĞ�ă�ĞŶŐĞŶŚĂƌŝĂ�ŝŵƉůĂŶƚĂƌ�
ƐŽůƵĕƁĞƐ�ĚĞ�ĂďĂƐƚĞĐŝŵĞŶƚŽ�ĚĞ�ĄŐƵĂ�ĐĂƉĂnjĞƐ�ĚĞ�ĂƐƐĞŐƵƌĂƌ�Ž�ĨŽƌŶĞĐŝŵĞŶƚŽ�Ğŵ�ƋƵĂŶƟĚĂĚĞ�Ğ�Ğŵ�ƋƵĂůŝĚĂĚĞ�
ĐŽŶĚŝnjĞŶƚĞƐ�ĐŽŵ�ĂƐ�ĚĞŵĂŶĚĂƐ�ĚŽ�ƉĂşƐ͘
�ŵ�ƌĞůĂĕĆŽ�ĂŽƐ�ĚĞƐĂĮŽƐ�ĚŽ�ĂďĂƐƚĞĐŝŵĞŶƚŽ�ĚĞ�ĄŐƵĂ�ŶŽ��ƌĂƐŝů͕�ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� EŽ��ƌĂƐŝů͕�ŚĄ�ĂůƚŽƐ�şŶĚŝĐĞƐ�ĚĞ�ƉĞƌĚĂ�ĚĞ�ĄŐƵĂ�ŶĂƐ�ƌĞĚĞƐ�ĚĞ�ĚŝƐƚƌŝďƵŝĕĆŽ͕�Ž�ƋƵĞ�ƉƌŽǀŽĐĂ�Ă�ĚŝŵŝŶƵŝĕĆŽ�ĚĂ�
ŽĨĞƌƚĂ�Ğ�ƉŽĚĞ�ĂĨĞƚĂƌ�Ă�ǀŝĂďŝůŝĚĂĚĞ�ĮŶĂŶĐĞŝƌĂ�ĚĞ�ĂůŐƵŵĂƐ�ĐŽŵƉĂŶŚŝĂƐ�ĚŽ�ƐĞƚŽƌ͘
//͘� KƐ�ĚŝƐƌƵƉƚŽƌĞƐ�ĞŶĚſĐƌŝŶŽƐ�ƐĆŽ�ĐŽŶƚĂŵŝŶĂŶƚĞƐ�ƋƵĞ�ĂĨĞƚĂŵ�Ă�ƉŽƚĂďŝůŝĚĂĚĞ�ĚĂ�ĄŐƵĂ�ƉŽƌ�ƐĞƌĞŵ�ĚĞ�ĚŝİĐŝů�
ƌĞŵŽĕĆŽ�ƉĞůŽƐ�ƉƌŽĐĞƐƐŽƐ�İƐŝĐŽͲƋƵşŵŝĐŽƐ�ĐŽŶǀĞŶĐŝŽŶĂŝƐ�ĚĞ�ƚƌĂƚĂŵĞŶƚŽ�ĚĂ�ĄŐƵĂ͘
///͘� K� ĂĐŽŵƉĂŶŚĂŵĞŶƚŽ� Ğ� Ž� ĐŽŶƚƌŽůĞ� ĚĂƐ� ƉƌĞƐƐƁĞƐ� ŚŝĚƌĂƷůŝĐĂƐ� ƌĞŝŶĂŶƚĞƐ� ŶŽƐ� ĐŽŶĚƵƚŽƐ� ĚĂƐ� ƌĞĚĞƐ� ĚĞ�
ĂďĂƐƚĞĐŝŵĞŶƚŽ�ĚĞ�ĄŐƵĂ�ƚġŵ�ĐŽŵŽ�ŽďũĞƟǀŽƐ�ƉƌŝŶĐŝƉĂŝƐ�Ž�ĂƵŵĞŶƚŽ�ĚĂ�ƋƵĂŶƟĚĂĚĞ�ĚĞ�ĄŐƵĂ�ƋƵĞ�ĐŚĞŐĂ�
ĂŽ�ĐŽŶƐƵŵŝĚŽƌ�Ğ�Ă�ŐĂƌĂŶƟĂ�ĚĂ�ƉŽƚĂďŝůŝĚĂĚĞ�ĚĂ�ĄŐƵĂ�ĨŽƌŶĞĐŝĚĂ͘
��ĐŽƌƌĞƚŽ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /͕�ĂƉĞŶĂƐ͘
B //͕�ĂƉĞŶĂƐ͘
C /�Ğ�///͕�ĂƉĞŶĂƐ͘
D //�Ğ�///͕�ĂƉĞŶĂƐ͘
E /͕�//�Ğ�///͘
ÁREA LIVRE
*R12201429*
ϯϬ
�E'�E,�Z/���/s/>
QUESTÃO 1
YƵĂů� Ž� ŐƌĂƵ� ĚĞ� ĚŝĮĐƵůĚĂĚĞ� ĚĞƐƚĂ� ƉƌŽǀĂ� ŶĂ� ƉĂƌƚĞ� ĚĞ�
&ŽƌŵĂĕĆŽ�'ĞƌĂů͍
A�DƵŝƚŽ�ĨĄĐŝů͘
B�&ĄĐŝů͘
C�DĠĚŝŽ͘
D��ŝİĐŝů͘
E�DƵŝƚŽ�ĚŝİĐŝů͘
QUESTÃO 2 
YƵĂů� Ž� ŐƌĂƵ� ĚĞ� ĚŝĮĐƵůĚĂĚĞ� ĚĞƐƚĂ� ƉƌŽǀĂ� ŶĂ� ƉĂƌƚĞ� ĚĞ�
�ŽŵƉŽŶĞŶƚĞ��ƐƉĞĐşĮĐŽ͍
A�DƵŝƚŽ�ĨĄĐŝů͘
B�&ĄĐŝů͘
C�DĠĚŝŽ͘
D��ŝİĐŝů͘
E�DƵŝƚŽ�ĚŝİĐŝů͘
QUESTÃO 3 
�ŽŶƐŝĚĞƌĂŶĚŽ�Ă�ĞdžƚĞŶƐĆŽ�ĚĂ�ƉƌŽǀĂ͕�Ğŵ�ƌĞůĂĕĆŽ�ĂŽ�ƚĞŵƉŽ�
ƚŽƚĂů͕�ǀŽĐġ�ĐŽŶƐŝĚĞƌĂ�ƋƵĞ�Ă�ƉƌŽǀĂ�ĨŽŝ
A�ŵƵŝƚŽ�ůŽŶŐĂ͘
B�ůŽŶŐĂ͘
C�ĂĚĞƋƵĂĚĂ͘
D�ĐƵƌƚĂ͘
E�ŵƵŝƚŽ�ĐƵƌƚĂ͘
QUESTÃO 4 
KƐ� ĞŶƵŶĐŝĂĚŽƐ� ĚĂƐ� ƋƵĞƐƚƁĞƐ� ĚĂ� ƉƌŽǀĂ� ŶĂ� ƉĂƌƚĞ� ĚĞ�
&ŽƌŵĂĕĆŽ�'ĞƌĂů�ĞƐƚĂǀĂŵ�ĐůĂƌŽƐ�Ğ�ŽďũĞƟǀŽƐ͍
A�^ŝŵ͕�ƚŽĚŽƐ͘
B�^ŝŵ͕�Ă�ŵĂŝŽƌŝĂ͘
C��ƉĞŶĂƐ�ĐĞƌĐĂ�ĚĂ�ŵĞƚĂĚĞ͘
D�WŽƵĐŽƐ͘
E�EĆŽ͕�ŶĞŶŚƵŵ͘
QUESTÃO 5 
KƐ� ĞŶƵŶĐŝĂĚŽƐ� ĚĂƐ� ƋƵĞƐƚƁĞƐ� ĚĂ� ƉƌŽǀĂ� ŶĂ� ƉĂƌƚĞ� ĚĞ�
�ŽŵƉŽŶĞŶƚĞ��ƐƉĞĐşĮĐŽ�ĞƐƚĂǀĂŵ�ĐůĂƌŽƐ�Ğ�ŽďũĞƟǀŽƐ͍
A�^ŝŵ͕�ƚŽĚŽƐ͘
B�^ŝŵ͕�Ă�ŵĂŝŽƌŝĂ͘
C��ƉĞŶĂƐ�ĐĞƌĐĂ�ĚĂ�ŵĞƚĂĚĞ͘
D�WŽƵĐŽƐ͘
E�EĆŽ͕�ŶĞŶŚƵŵ͘
QUESTÃO 6
�Ɛ� ŝŶĨŽƌŵĂĕƁĞƐͬŝŶƐƚƌƵĕƁĞƐ� ĨŽƌŶĞĐŝĚĂƐ� ƉĂƌĂ� Ă� ƌĞƐŽůƵĕĆŽ�
ĚĂƐ�ƋƵĞƐƚƁĞƐ�ĨŽƌĂŵ�ƐƵĮĐŝĞŶƚĞƐ�ƉĂƌĂ�ƌĞƐŽůǀġͲůĂƐ͍
A�^ŝŵ͕�ĂƚĠ�ĞdžĐĞƐƐŝǀĂƐ͘
B�^ŝŵ͕�Ğŵ�ƚŽĚĂƐ�ĞůĂƐ͘
C�^ŝŵ͕�ŶĂ�ŵĂŝŽƌŝĂ�ĚĞůĂƐ͘
D�^ŝŵ͕�ƐŽŵĞŶƚĞ�Ğŵ�ĂůŐƵŵĂƐ͘
E�EĆŽ͕�Ğŵ�ŶĞŶŚƵŵĂ�ĚĞůĂƐ͘
QUESTÃO 7 
sŽĐġ�ƐĞ�ĚĞƉĂƌŽƵ�ĐŽŵ�ĂůŐƵŵĂ�ĚŝĮĐƵůĚĂĚĞ�ĂŽ�ƌĞƐƉŽŶĚĞƌ�
ă�ƉƌŽǀĂ͘�YƵĂů͍
A��ĞƐĐŽŶŚĞĐŝŵĞŶƚŽ�ĚŽ�ĐŽŶƚĞƷĚŽ͘
B�&ŽƌŵĂ�ĚŝĨĞƌĞŶƚĞ�ĚĞ�ĂďŽƌĚĂŐĞŵ�ĚŽ�ĐŽŶƚĞƷĚŽ͘
C��ƐƉĂĕŽ�ŝŶƐƵĮĐŝĞŶƚĞ�ƉĂƌĂ�ƌĞƐƉŽŶĚĞƌ�ăƐ�ƋƵĞƐƚƁĞƐ͘
D�&ĂůƚĂ�ĚĞ�ŵŽƟǀĂĕĆŽ�ƉĂƌĂ�ĨĂnjĞƌ�Ă�ƉƌŽǀĂ͘
E�EĆŽ�ƟǀĞ�ƋƵĂůƋƵĞƌ�ƟƉŽ�ĚĞ�ĚŝĮĐƵůĚĂĚĞ�ƉĂƌĂ�ƌĞƐƉŽŶĚĞƌ�
ă�ƉƌŽǀĂ͘
QUESTÃO 8 
�ŽŶƐŝĚĞƌĂŶĚŽ� ĂƉĞŶĂƐ� ĂƐ� ƋƵĞƐƚƁĞƐ� ŽďũĞƟǀĂƐ� ĚĂ� ƉƌŽǀĂ͕�
ǀŽĐġ�ƉĞƌĐĞďĞƵ�ƋƵĞ
A�ŶĆŽ�ĞƐƚƵĚŽƵ�ĂŝŶĚĂ�Ă�ŵĂŝŽƌŝĂ�ĚĞƐƐĞƐ�ĐŽŶƚĞƷĚŽƐ͘
B�ĞƐƚƵĚŽƵ�ĂůŐƵŶƐ�ĚĞƐƐĞƐ�ĐŽŶƚĞƷĚŽƐ͕�ŵĂƐ�ŶĆŽ�ŽƐ�ĂƉƌĞŶĚĞƵ͘
C�ĞƐƚƵĚŽƵ�Ă�ŵĂŝŽƌŝĂ�ĚĞƐƐĞƐ�ĐŽŶƚĞƷĚŽƐ �͕ŵĂƐ�ŶĆŽ�ŽƐ�ĂƉƌĞŶĚĞƵ͘
D�ĞƐƚƵĚŽƵ�Ğ�ĂƉƌĞŶĚĞƵ�ŵƵŝƚŽƐ�ĚĞƐƐĞƐ�ĐŽŶƚĞƷĚŽƐ͘
E�ĞƐƚƵĚŽƵ�Ğ�ĂƉƌĞŶĚĞƵ�ƚŽĚŽƐ�ĞƐƐĞƐ�ĐŽŶƚĞƷĚŽƐ͘
QUESTÃO 9 
YƵĂů�ĨŽŝ�Ž�ƚĞŵƉŽ�ŐĂƐƚŽ�ƉŽƌ�ǀŽĐġ�ƉĂƌĂ�ĐŽŶĐůƵŝƌ�Ă�ƉƌŽǀĂ͍
A�DĞŶŽƐ�ĚĞ�ƵŵĂ�ŚŽƌĂ͘
B��ŶƚƌĞ�ƵŵĂ�Ğ�ĚƵĂƐ�ŚŽƌĂƐ͘
C��ŶƚƌĞ�ĚƵĂƐ�Ğ�ƚƌġƐ�ŚŽƌĂƐ͘
D��ŶƚƌĞ�ƚƌġƐ�Ğ�ƋƵĂƚƌŽ�ŚŽƌĂƐ͘
E�YƵĂƚƌŽ�ŚŽƌĂƐ͕�Ğ�ŶĆŽ�ĐŽŶƐĞŐƵŝ�ƚĞƌŵŝŶĂƌ͘
QUESTIONÁRIO DE PERCEPÇÃO DA PROVA
�Ɛ�ƋƵĞƐƚƁĞƐ�ĂďĂŝdžŽ�ǀŝƐĂŵ�ůĞǀĂŶƚĂƌ�ƐƵĂ�ŽƉŝŶŝĆŽ�ƐŽďƌĞ�Ă�ƋƵĂůŝĚĂĚĞ�Ğ�Ă�ĂĚĞƋƵĂĕĆŽ�ĚĂ�ƉƌŽǀĂ�ƋƵĞ�ǀŽĐġ�ĂĐĂďŽƵ�ĚĞ�ƌĞĂůŝnjĂƌ͘ �
�ƐƐŝŶĂůĞ�ĂƐ�ĂůƚĞƌŶĂƟǀĂƐ�ĐŽƌƌĞƐƉŽŶĚĞŶƚĞƐ�ă�ƐƵĂ�ŽƉŝŶŝĆŽ�ŶŽƐ�ĞƐƉĂĕŽƐ�ĂƉƌŽƉƌŝĂĚŽƐ�ĚŽ��ĂĚĞƌŶŽ�ĚĞ�ZĞƐƉŽƐƚĂƐ͘
*R12201430*
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ÁREA LIVRE
*R12201431*
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Ministério
da Educação
*R12201432*

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