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  • 8/11/2019 111-136

    1/26

    8

    .

    ,

    , .

    ,

    .

    ,

    .

    , .

    , .

    A

    A( )1 ( )2

    A

    A

    B

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    112. -

    . , 30

    .

    i)

    .. .

    ii) .

    , .. .

    iii)

    .. , .

    iv) , .. .

    v) , .

    vi) ,

    . .

    :

    -

    .

    , .

    .= 1 2

    ( , , )= = = ,

    = = . -

    ,

    .

    2 2 2

    + += = = .

    -

    .

    . .

    1

    2

    2

    1

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  • 8/11/2019 111-136

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    114. -

    .

    1 -

    .

    , ,

    , , .

    EZ B , ,

    . ( )

    12= , .

    ( )

    22

    =

    . (1) (2) = , .

    2

    ,

    ,

    = 90 .

    ( ) 1= +

    , , 90= .

    , ( )

    22

    += . (1),

    (2)

    2=

    , . 90= .

    3

    , -

    ,

    , .

    1 1AA 1 : ( )1 11 12+

    = .

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    115. -

    1 1

    : ( )1 11

    2

    2

    += .

    (1), (2) :

    1 1 1 1

    1

    2

    2

    + + +=

    1 1 1 1 14 = + + + .

    4

    -

    .

    , .

    , , , ,

    . , , :

    2 1

    3 3= = (1)

    , , :

    2 1 3 3

    = = (2)

    (1) (2) :1

    3

    = = = .

    5

    . .

    , :3

    2 =

    . //

    , . = .

    // , . = .

    2

    2 3

    = + = = .

    B

    H

    K

    A

    B

    H

    K

    A

    B

    H

    A

    B

    H

    K

    A

    ()

    11111

  • 8/11/2019 111-136

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    116. -

    6

    = 3 0 .

    ,

    .

    , .

    .

    30=

    2

    = .

    2

    = (-

    . ). -

    .

    0 0

    1 1 2 2 30 60 = = = = ,. = .

    = .

    7

    , . .

    , -

    .

    2

    = =

    2

    = =

    = .

    .

    8

    . .

    1 2

    = ,

    2 1

    = , //.

    1 1

    = ,.

    2

    = = .

    -

    .

    B

    K

    M

    A

    B

    K ZO

    A

    21

    1

    B

    K ZO

    A

    B

    H

    K

    A

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    117. -

    9

    1

    = 4 .

    .

    //4

    = .

    . 1

    4

    = = .

    //2

    = ( , , )

    //

    2= ( , , ).

    2 // //

    2 2 4= = = .

    10

    ( = 9 0 ) .

    .

    2= = .

    1 1

    = .

    -

    2

    = = . 2 2

    = .

    ,-

    :1 2 1 2

    + = + 90= = .

    11

    ,

    . , , , , ,

    .

    BI

    A

    Z

    1

    1

    2

    2

    B

    I

    A

    B

    I

    A

  • 8/11/2019 111-136

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    118. -

    A K B

    AB

    KM 2=

    2

    = . =

    =

    ( )

    ( )

    1

    2

    = +

    = +

    1 1

    K 90

    = =

    = =

    =

    =. (1), (2) =

    =

    = ( )

    1 1

    = ( )

    =

    =

    .

    12

    . , = - .

    90 = = = .

    = ,

    1

    2

    = = .

    13

    = = = .

    . :

    i.

    ii.

    A

    1

    1

    K

    NM

    A

    B

    K

    E

    A

    B

    K

    E

  • 8/11/2019 111-136

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    119. -

    =

    :

    =

    = =

    =

    =

    = . = .

    .

    i.

    , , , .

    //2

    =

    //2

    =

    = = .

    -

    , .

    ii. , , , .

    //

    //

    . 90=

    14

    , > .

    .

    = -

    1 1

    = ( 1

    1

    =

    A

    K

    M

    N

    A

    K

    M

    N

    A

    K

    M

    N

    A

    B K

    E

    M

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    120. -

    ( ).

    1

    = ( //).

    = .

    15

    (//, > ) -

    . , ,

    .

    .

    2

    = .

    .

    2= .

    = =

    2 2 2

    =

    ,

    2

    = .

    =

    16

    ( //)

    = 2 = 3 . .

    :

    . O .

    . .

    . ,

    : = /4.

    A

    B K

    E

    M1 1

    A

    O

    B

    P

    A

    H O

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    121. -

    . 180 3 180 45+ = + = = .

    135= . . = = /2,

    . -

    , -

    .

    . , .

    1

    45= = 90= . = /2 = .

    , , .

    . , :

    1 1

    2 2 2 4

    = = = .

    17

    o

    = 6 0

    .

    .

    1 2

    1

    2 1

    30

    ( )

    = = =

    =

    -

    .

    : 1

    30 2

    = =

    .

    18

    (//) = + .

    . .

    .

    //

    2 2

    += = . = = .

    B

    P1

    1

    A

    H O

    A

    K

    B

    1

    1

    2

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    122. -

    1

    = 1

    = ( // ). = .

    2

    = 2

    = ( // ), = .

    19

    ( ) = = 90 = 6 0 . = = 8 .

    .

    1

    90 90 60 30= = = .

    8

    42 2

    = = =

    8 4 12= + = + = + =, , :

    12 8 20 10

    2 2 2

    + += = = =

    20

    ( ) = 90 = 30 . ,

    , = .

    30=

    2

    = .

    , ,

    2

    = .

    = .

    B

    K

    A

    12

    A

    K

    B

    1

    E

    60o

    B

    A

    Z

    30o

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    123. -

    21

    . , , ,

    = . , , , , , .

    -

    .

    AK (1)2

    = .

    ( )

    22

    = . = (3)

    = ( = - = ).

    (1), (2), (3) = .

    =

    :

    =

    = ,

    1 1 =

    = .

    .

    = =

    = =

    , .

    . . , ,

    .

    22

    ( ) = 90 = 30 , . = .

    .

    , , ,

    ||2

    =

    EA

    K

    Z

    1

    1

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    124. -

    2 // = = .

    . 30= ,

    2

    = = ,. .

    23

    o

    = 4 5 . .

    .

    ,

    (1)

    2=

    ,

    (2)2=

    (1),(2) =

    .

    1 2

    90 90= + =

    ( = ) :

    1 1 1 1

    180 180 2 + + = = =

    ( = ) :

    2 1 2 1

    180 180 2 + + = = =

    :

    1 2

    180 2 180 2 360 2( )+ = + = +

    180 180 45 135+ = = =

    1 2

    360 2 135 90+ = = .

    24

    = 30

    A

    E

    2

    1

    2

    1

    1

    B

    A

    30o

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    125. -

    B

    A

    30o

    . :

    i. = ii.

    =3 .

    i. =

    ,

    90 , ,

    2

    = = = =

    .

    = .

    ii. . ( ) 90 , 30 := =

    2

    2

    = = .

    = , :

    3 3

    + = = .

    25

    // = 4.

    i. 5B

    =2

    .

    ii. ,, = = = , , .

    iii. , ,

    =2

    .

    i. 4 5

    2 2 2

    + += = = .

    ii. 1 4

    = = //

    .

    1

    4

    = = //

    .

    iii. , , .

    // = , // = .

    = =5

    2 2

    = .

    A

    H

    K

    Z

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    126. -

    26

    = 4. , = = .

    i. .

    ii. .

    i. // //. -

    . = .

    =

    = = . = .

    ii. ,

    2 2

    + += = .

    = = 4

    = = 4 = 2.

    4 2 6

    32 2

    += = = .

    27

    . , -

    , .

    1

    90= = = .

    .

    2

    2

    === -

    .

    -

    // // 2

    = =

    .

    EA

    Z

    K

    A

    M

    E

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    127. -