מתמטיקה - 4 יח"ל - כיתה י"ב - חלק א'

ﺟﺑﺭ ﻭﻣﻘﺩّﻣﺔ ﻟﻠﺗّﺣﻠﻳﻝ ﺍﻟﺭّﻳﺎﺿﻲ ﻟﻠﺩّﻭﺍﻝ ﺍﻷﺳّﻳّﺔ ﻭﺍﻟﻠّﻭﻏﺭﻳﺛﻣﻳّﺔ

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ﺍﻟﻔﺻﻝ :8 ﺗﺣﻭﻳﻼﺕ ﻋﻠﻰ ﺍﻟﺩّﺍﻟّﺔ ﺍﻟﻠّﻭﻏﺭﻳﺛﻣﻳّﺔ

y

(7) )ﺃ( ﺭﺳﻢ ﺑﻴﺎﻧﻲ I – ( ) f x ، ﺭﺳﻢ ﺑﻴﺎﻧﻲ II – ( ) g x . )ﺏ( ﺇﺯﺍﺣﺔ ﺃﻓﻘﻴّﺔ ﻭﺣﺪﺓ ﻭﺍﺣﺪﺓ ﺇﻟﻰ ﺍﻟﻴﺴﺎﺭ . )ﺝ( ﺍِﻓﺤﺼﻮﺍ ﻣﻊ ﺍﻟﻤﻌﻠّﻢ ﻓﻲ ﺍﻟﺼّﻒ . )ﺩ( ﺍُﻧﻈﺮﻭﺍ ﺍﻟﺮّﺳﻢ . )ﻫـ( ﻧﻌﻢ. 0 0 ( , ) .

x

( ) h x

( ) f x : 0   )ﺏ( ﺍِﻓﺤﺼﻮﺍ ﻣﻊ ﺍﻟﻤﻌﻠّﻢ ﻓﻲ ﺍﻟﺼّﻒ . )ﺝ( ﺍﻟﺮّﺳﻢ II . x  ، ( ) h x : 2 x

(8) )ﺃ(

y

(9) )ﺃ( ﺭﺳﻢ ﺑﻴﺎﻧﻲ I – ( ) g x ، ﺭﺳﻢ ﺑﻴﺎﻧﻲ II – ( ) f x ، ﺭﺳﻢ ﺑﻴﺎﻧﻲ III – ( ) k x . )ﺏ( 0 x  )ﺝ( 0 x  )ﺩ( ﺍُﻧﻈﺮﻭﺍ ﺍﻟﺮّﺳﻢ . )ﻫـ( ﺍِﻓﺤﺼﻮﺍ ﻣﻊ ﺍﻟﻤﻌﻠّﻢ ﻓﻲ ﺍﻟﺼّﻒ .

x

( ) h x

(10) )ﺃ( ﺭﺳﻢ ﺑﻴﺎﻧﻲ I – ( ) f x ، ﺭﺳﻢ ﺑﻴﺎﻧﻲ II – ( ) g x . )ﺏ( ﺍُﻧﻈﺮﻭﺍ ﺍﻟﺮّﺳﻢ .

y

( ) h x

4

x

3

x 

x  ، ( ) g x : 2

)ﺝ( ﻓﻲ ﺍﻟﺮّﺳﻢ II .

)ﺏ( 3 0 ( , )

(11) )ﺃ(

( ) f x : 0

x 

x 

x  ، ( ) g x : 2

)ﺩ(

)ﺝ( ﻓﻲ ﺍﻟﺮّﺳﻢ I .

)ﺏ( 2

(12) )ﺃ(

1 0 ( , )

( ) f x : 0

x 

x 

x  ، ( ) g x : 2

)ﺩ( ﻧﻘﻄﺔ ﻭﺍﺣﺪﺓ .

)ﺝ( ﺭﺳﻢ ﺑﻴﺎﻧﻲ I .

)ﺏ( 2

(13) )ﺃ(

( ) f x : 0

)ﺏ(

(14) )ﺃ(

y

y

x

x

2

1

)ﺩ(

)ﺝ(

y

y

1 4 ( , )

x

1

x

1

© ﺟﻣﻳﻊ ﺍﻟﺣﻘﻭﻕ ﻣﺣﻔﻭﻅﺔ ﻟﺟﺎﺑﻲ ﻳﻛﻭﺋﻳﻝ –

– ﺭﻳﺎﺿﻳّﺎﺕ ﻟﻁﻼّﺏ 4 ﻭﺣﺩﺍﺕ ﺗﻌﻠﻳﻣﻳّﺔ – ﺍﻟﺻّﻑ ﺍﻟﺛّﺎﻧﻲ ﻋﺷﺭ – ﺍﻟﻣﻧﻬﺞ ﺍﻟﺟﺩﻳﺩ