Geometria Analítica_1aLista-Exs

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    1 Lista de Exerccios

    Fonte: http://www.professorwaltertadeu.mat.br/

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    : < 0 ; < 0 3

    : < 0 ; > 0 2 Resposta: opo (c)

    + 3 < 0 < 3

    1 < 0 < 1 Resposta: opo (e)

    , 0

    = 4 + 0 3

    = 0

    + 0 + 3

    8 + 16 + 9 = + 9

    8 + 16 + 9 = + 9

    8 = 16 = 2 2 , 0 Resposta: opo (a)

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    = +

    = 1 3 = 1 + 3 = 4

    = 8 5 = 3

    = 4 + 3 = 16 + 9 = 25 = 5 Resposta: opo (e)

    = 5 1

    2 3 14 1 1

    = 0

    3 2 + 2 0 1 2 + 1 0 = 0

    2 + 1 6 = 0

    2 = 16 = 8 Resposta: opo (d)

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    3 , 7

    5 , 1

    0 , 0

    ,

    = = 0 + 0

    = +

    mdio de =3 + 5

    2=

    8

    2= 4

    =7 + 1

    2=

    6

    2= 3

    = 4 + 3= 16 + 9 = 25

    = 5

    Resposta: opo (c)

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    =0 1 1

    3 1

    3 3 1

    = 0

    3 9 + 3 + 3 = 0

    3 3 = 0

    3 = 3 = 1 Resposta: = 1

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    a)

    1 5 1

    3 0 1

    4 1=

    15

    2+ 2 0 +

    5

    2 1 5 =

    10

    2+ 5 = 5 + 5 = 0

    Resposta: C colinear com A e B

    b)1 5 1

    3 0 1

    5 1

    = 0

    15 + 5 5 1 5 = 0

    5 + 10 15 = 0 ( 5

    + 2 3 = 0

    Soma = 2

    Produto = 3

    = 3 ou = 1

    Resposta: = 3 ou = 1

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    2 + 1 2 1

    6 5 1

    0 1 1

    = 0

    5. 2 + 1 6 + 12 1. 2 + 1 = 0

    6. 2 + 1 + 6 = 0

    12 6 + 6 = 0

    12 = 0 = 0 Resposta: opo (e)

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    0

    1 , 2

    1 , 2

    1 , 2

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    0

    1 , 2

    1 , 2

    1 , 2

    Nessa questo, para compensar o

    tempo gasto para fazer a figura,

    vamos usar a frmula

    para calcular a rea do tringulo,

    lembrando que, no tringulo

    retngulo, um cateto a base,

    enquanto o outro a altura.

    =2 4

    2=

    8

    2= 4

    Resposta: opo (e)

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    3 1 14 2 1

    7 1

    = 0

    6 + 2 8 + + 2 2 1 4 = 0

    3 3 = 0

    3 = 3 = 1 Resposta: opo (a)

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    = 2 1 12 5 1

    4 1

    = 10 + 8 + 5 8 2

    = 8 4

    =

    2 e = 20

    2= 20

    8 4 2

    = 20

    8 4 = 40 8 4 = 40

    Se 8 4 = 40 4 = 48 = 12

    Se 8 4 = 40 4 = 32 = 8 Resposta: opo (a)

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    Professora Telma Castro Silva