ΙΣΤΟΡΙΑ Ερωτησεις - Απαντησεις - Επαληθευσεις Β' Γυμνασιου

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  • 355

    BBB

    , , , .

    ,

    ; ;

    ;

    .

    taexeiola.gr

  • 356

    1

    1. 1

    1. ;

    -

    .

    2. ;

    .

    1. 2

    3. ;

    I. + ( ) = 0 ( ) II. + 0 = ( )

    III. + = + ( )

    IV. ( + ) + = + ( + ) ( )

    1. 4

    4. ;

    = + ( ) 1. 5

    5. ;

    ( + )

    + ( )

    .

    ( ) . 1. 6

    6. ;

    ( + )

    ( ) 7. ;

    taexeiola.gr

  • 357

    = ( ) 0 = 0 ( ) 1 = ( 1 ) () = ( ) ( ) 8. ;

    1.

    9. ; ( )

    0 = 0 1. 1. 7

    10. ;

    -

    :

    ( + ) ,

    ( ) . , .

    1. 8

    11. ;

    :.

    12. ;

    ,

    = 1

    , ( 0 )

    1. 9

    13. >1; >1 - .

    14. >1 ; i. = + ii. : =

    iii. ( ) =

    iv. = ()

    v.

    =

    1. 10

    taexeiola.gr

  • 358

    15.

    a) b)

    a. 0 = 1

    b. - = 1

    16. ;

    :

    i. .

    ii. .

    iii. .

    iv. = + v. : =

    vi. ( ) =

    vii. = ()

    viii.

    =

    ix.

    =

    2

    2. 1 2 .2

    17. :

    i. ;

    ii. ;

    iii. ;

    iv. ( ) ;

    v. ;

    i.

    .

    ii.

    .

    iii.

    .

    iv. ( )

    .

    taexeiola.gr

  • 359

    v. -

    () .

    18. ;

    0 = ( 0) ( ) 0 = 0 2. 5

    19. ;

    .

    .

    20. ;

    -

    .

    A -

    .

    .

    3

    3. 1 3 .2

    21. ;

    .

    -

    .

    22. ;

    -

    : = 2 = :

    i. 0 = 0

    ii. 2

    = ( > 0) iii. =

    iv.

    =

    ( , > 0)

    taexeiola.gr

  • 360

    A

    B

    3. 5

    23. ( )

    ( , ) ;

    ( )

    .

    ( , ) -

    (, ) -

    -

    . .

    24. -

    ;

    .

    25. ;

    4

    .

    4

    4. 1

    26. ;

    .

    4. 2

    27.

    ;( )

    -

    .

    .

    , , , , ( = 90)

    :

    <

    <

    <

    <

    < < < <

    taexeiola.gr

  • 361

    A B

    A

    B

    R R

    R

    R

    A

    B

    R R

    R

    R

    4. 3

    28.

    ; ( )

    .

    .

    =

    , =

    , =

    = = = R < <

    <

    <

    4. 4

    29.

    ; ( )

    .

    .

    =OEOB

    , =

    , =

    = = = R

    > > OEOB

    >

    >

    > > 30. ( A = 90)

    a) 2B + 2B = 1 b) B =

    a) 2 + 2 = 2

    +

    2

    =

    2

    2

    +

    2

    2

    =

    2 2

    2

    +

    = 1

    b)

    =

    =

    =

    =

    taexeiola.gr

  • 362

    22

    1 1

    30 30

    60 60

    A

    B

    21

    1

    45

    A B

    45

    4. 4

    31. 30 45 60; 30 60 = = = 2 .

    ( = = 1)

    n n = = 30D ( = 90 ) : A2 = AB2 A2 A2 = 22 12 A2 = 3 A = 3

    30 = 12

    , 30 = 32

    , 30 = 13

    = 3

    3

    60 = 32

    , 60 = 12

    , 30 = 31

    = 3

    45

    ( = 90 ) , = = 1 2 = 2 + 2

    2 = 12 + 12 2 = 2 = 2

    45 = 12

    = 2

    2,

    45 = 2

    1 =

    22

    45 = 11

    = 1

    8

    8. 1

    32. ;

    .

    .

    ( )

    33. ;

    i.

    ii. .

    iii. .

    taexeiola.gr

  • 363

    A

    B

    8.1

    34. ;

    .

    .

    ( )

    35. ;

    .

    .

    .

    .

    36.

    -

    .

    .

    = ( 1 )

    n

    , n = +

    n = 2 = n1 2

    8.3

    37. :

    i. ;

    ii. ;

    iii. ;

    iv. ;

    v. ;

    taexeiola.gr

  • 364

    A B

    i.

    .

    ii. -

    .

    iii. .

    iv. ( - )

    () -

    .

    v.

    .

    8.4

    38. -

    .

    - .

    ( = 90 ) :

    2 =

    2

    2

    =

    2

    =

    22 =

    2

    =

    2

    2 =

    =

    2

    8.5 8.6

    39. ( )

    ( );

    = 2 =

    = 2 = 4

    2

    8.7

    40. (rad)

    (, ) (rad) .

    taexeiola.gr

  • 365

    41. ( ) (r );

    180 =

    ( 1 )

    42. S ) )

    360 2 S ) :

    360 =

    S2

    S =

    180 ( 2 )

    ) S =

    180 ( 1 )

    180 =

    S =

    S = ( 3 )

    8. 8

    43. ;

    -

    .

    44. ( )

    360 2

    :

    =

    2

    360 =

    2

    360

    =

    180 = S

    2 ( 4 ) ( S )

    45. (r )

    :

    S r

    S = ( i )

    S

    = S2

    ( ii ) ( S )

    r ( i ) ( ii ) = 2

    2

    taexeiola.gr