cours math

4
_www.anissmaths.ift.cx ﻋﻨﻴﺲ اﻟﻤﻬﺪي ﻟﻸﺳﺘﺎذ اﻹﻋﺪادي ﺑﺎﻟﺜﺎﻧﻮي اﻟﺮﻳﺎﺿﻴﺎت ﻣﻮﻗﻊ/ اﻹﻋ ﺑﺎﻟﺜﺎﻧﻮﻳﺔ أﺳﺘﺎذ رﺷﻴﻖ اﺑﻦ ﺪادﻳﺔ اﻟﻤﺤﻤﺪﻳﺔ ﻧﻴﺎﺑﺔ_ اﻟﻌﻨﻮان: 143 اﻟﺴﻼم رﻳﺎض ﺣﻲ- اﻟﻄﺎﺑﻖ2 - اﻟﻤﺤﻤﺪﻳﺔ/ اﻟﻨﻘﺎل اﻟﻬﺎﺗﻒ: 063 15 37 85 / اﻹﻟﻜﺘﺮوﻧﻲ اﻟﻌﻨﻮان: [email protected] فI _ واﺣﺪ ﺑﻤﺠﻬﻮل اﻷوﻟﻰ اﻟﺪرﺟﺔ ﻣﻦ اﻟﻤﻌﺎدﻻت: (1 ﺗﻌﺮﻳﻒ: (2 اﻟﻤﻌﺎدﻟﺔ ﺣــﻞ0 ax b + = : (1 إذا آﺎن: a 0 ﻟﻠﻤﻌﺎدﻟﺔ ﻓﺈنax 0 b + = وﺣﻴ ﺣــﻼ هﻮ ﺪا: b a . (2 إذا آﺎن: 0 a = وb 0 اﻟﻤﻌﺎدﻟﺔ ﻓﺈنax ﺣــﻞ ﻟﻬﺎ ﻟﻴﺲ. 0 b + = 0 (3 آﺎن إذا: a = وb 0 = ﻓﺈن ﺣــﻠﻮل اﻟﺠﺬرﻳﺔ اﻷﻋﺪاد ﺟﻤﻴﻊ ﻟﻠﻤﻌﺎدﻟﺔax . 0 b + = 0 (4 آﺎن إذا: a وb 0 = اﻻﻣﻌﺎدﻟﺔ ﺣــﻞ ﻓﺈنax اﻟﻌﺪد هﻮ0 . 0 b + = : 2 7 1 (3 أﻣﺜﻠــﺔ: (1 اﻟﻤﻌﺎدﻟ ﺣــﻞx x + = 1 . ﻟﺪﻳﻨﺎ: 2 7 x x + = 2 1 8 اﻟﺘﻮاﻟﻲ ﻋﻠﻰ ﺗﻜﺎﻓﺊ: 7 x x x =− =− 8 إذن: اﻟﺠﺬري اﻟﻌﺪد هﻮ اﻟﻤﻌﺎدﻟﺔ هﺬﻩ ﺣــﻞ. (2 اﻟﻤﻌﺎدﻟﺔ ﺣــﻞ: 3 11 3 5 x x = 1 3 5 . ﻟﺪﻳﻨﺎ: 3 1 x x = 3 3 5 0 6 اﻟﺘﻮاﻟﻲ ﻋﻠﻰ ﺗﻜﺎﻓﺊ: 11 x x x =− + = إذن: ﺣــﻞ ﻟﻬﺎ ﻟﻴﺲ اﻟﻤﻌﺎدﻟﺔ هﺬﻩ. أهﻢ ﻓﻘﺮات اﻟﺪرس اﻟﻤﻌــــــــــــــــﺎدﻻت ﻣﺎدة اﻟﺮﻳﺎﺿﻴﺎت2AC a b . 0 ax b و ﺟﺬرﻳﺎن ﻋﺪدان. ﺷﻜــﻞ ﻋﻠﻰ آﺘﺎﺑﺔ آﻞ+ = ﻣﻦ ﻣﻌﺎدﻟﺔ ﺗﺴﻤﻰ هﻮ واﺣﺪ ﺑﻤﺠﻬﻮل اﻷوﻟﻰ اﻟﺪرﺟﺔx .

Upload: mohamed-ksima

Post on 29-Sep-2015

226 views

Category:

Documents


5 download

DESCRIPTION

Cours math 2AS

TRANSCRIPT

  • _ / xc.tfi.shtamssina.www_ moc.liamtoh@idhemle_ssina: / 58 73 51 360: / - 2 - 341:

    : _ I

    : 1(

    := +b xa0 2(b: = +b0 xa 0 a : 1(

    a .

    = +b0 . xa 0 b = a0 : 2(0

    = +b0 .xa =0 b = a: 3(0

    = +b0 .0 xa =0 b a: 4(

    1 7 2:

    : 3(

    = +x x 1(1

    .

    = +x x 7 2: 1 2

    8

    :

    x x7

    x =

    =8

    . :

    = x x5 3 11 3 : 2(5 3 1

    .

    = x x 1 3: 5 3 3

    6 0

    :

    x x11

    x+ =

    =

    . :

    CA2

    bab x a0 .

    . = +

    .x

  • (

    _ / xc.tfi.shtamssina.www_ moc.liamtoh@idhemle_ssina: / 58 73 51 360: / - 2 - 341:

    .+ = +4 x x2 8 2): 3(+ = +x x4 2 8 2) : (

    8 2 8 28 8 2 2

    0 0

    :

    x xx x

    x

    +

    + = =

    =

    . :

    = + 4( x5 5 5: 5:

    .

    = + x 5 5 5 50 5

    :

    x

    =5x

    =

    . 0

    = + +d xc b xa0 ) () ( 3(

    :

    : -- ( ba

    b a0

    a b =0=0= := + -- ( +d xc b xa0 ) () (

    : = + +d xc b xa0 ) () b (a ) (

    : -- (

    .= x x0 1 2) ( 1(

    : = 0 x x1 2) ( :

    = x 0 1= x0 2 0

    = x 1= x

    .1 0 :

    = +d xc0 ) (= +b xa0

  • ) () (

    _ / xc.tfi.shtamssina.www_ moc.liamtoh@idhemle_ssina: / 58 73 51 360: / - 2 - 341:

    .= 0 x x x4 1 2 2( : = x x x0 4 1 2 : ) () (

    = x 0 4= x0 1 2 = x0 1 2

    = = 4x x1

    2 = 4 = xx

    1 0 : 2

    .4

    .= x x0 2 7 5 3) () ( 3(

    = x x0 2 7 5 3) () ( : 0 2 7

    :

    = x5 3 0= x 7 2

    = x5 3 = x

    7 2

    = x53

    = x

    7 : 2

    5 3

    .

    : _ II

    : 1(

    : . / 1 . / 2 . / 3 . / 4 . / 5

    : 1(

    . 08 5

    02

    .

  • :

    : 1(

    . x

    : 2( x ) (

    _ / xc.tfi.shtamssina.www_ moc.liamtoh@idhemle_ssina: / 58 73 51 360: / - 2 - 341:

    x02 502 5 x :

    . = +x x08 02 5 ) (

    : 3( : = +x x08 02 5 : ) (

    x

    08 001 51 08 6081 6

    0816

    03

    xxx

    x

    x

    +00

    = + ====

    : 4(

    01 5 03 02 03 5 03) (05 0308

    + = ++ ==

    )02 03(

    .03

    : 5(

    03 . 01