حلول امتحان الجبر والهندسة الفراغية

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حلول امتحان الجبر والهندسة الفراغية

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  • 6= C 46= 5) )1(

    4= C 4=

    =3 B 594= = 532

    = )

    2+

    2+ =

    2+ =

    = = 2+ 2 -= 2+ = 2- 1 1

    51= 1- 1 3 = ) ) 2( 1 3- 2

    2- 1 3 51-= 1- 1 2-= 1 1 3- 1 2- 3 1 33-= 1- 2- 3 =2 1 1 2 3 1 1 54-= 2- 1 3 =3 1 3- 2

    2-= = 1-= = B

    3-= =

    } ) 3- 2- 1-( { B

    5) = (

    = 6 = 5) = ( )

    ) + (= B 2= A

    + =

    1 3=

    + = 1 B

    =

    + = 2

    =

    = 1+ A) 9

    4 -11

    6= C 3= 4 11 B

    = 7 B

    41= = 69

    B= A

    1= B 1= 3 B=

    3- 2+ 22-) 2

    3+ 1

    1 1

    3 1 =

    1 3 3 -

    1+ 3 -

    3 1 1+ 2 3

    3 1 2 -=

    1 3 3 -

    1+ 2 -

    3 3 1+ 2+ 2 3

    3 1 3 -=

    1 3 3 -

    1+ 2+ 2 3=

    9 12 22 32 2 3 4 5

    ) + ( ) - )( -1(

    ) - ) (+ (

    2 - 2 + 2 - -

    1+ 2 1) ++ 2+ 1( -

    - 1-

    1

    2 3

    2+ 3+ 1

    2 -1

    2

    2

    2+ 3

    2

    2

    2+ 3

    4

    4

    6 4

    6 4 6

    4

    7 89 234

    7 7

    3 4

    2+ 7 -9 7

    2 4

    3 3

    + 1 1

    + 1 + 1

    4

  • -1) )4(

    . -2

    . -3

    -4

    .

    = )

    C

    )1( " // "

    C =

    )2( " // "

    // B )2( ) 1(

    " " A

    " "

    " // " B

    : ) )5(

    M A

    M B

    M A M B

    " M M B

    M B

    M B

    M B

    )

    M " A

    B

    " M " B M A

    . 7= B

    42= B

    " M "

    =

    ) 6(

    " M " /" M " A

    / / M " B

    /" /// " /" M " B

    //= . // B / A 2)32+ ( 2)51= ( 2)/ ( B B 52= / B 2352= / /

    // " A

    " M " " M /"

    ) - /( B

    = = B

    5 63 /25) =

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