מתמטיקה - 4 יח"ל - כיתה י"ב - חלק א'

ﺍﻟﻔﺻﻝ :4 ﺗﺣﻭﻳﻼﺕ ﻓﻲ ﺍﻟﺩّﺍﻟّﺔ ﺍﻷﺳّﻳّﺔ

ﺟﺑﺭ ﻭﻣﻘﺩّﻣﺔ ﻟﻠﺗّﺣﻠﻳﻝ ﺍﻟﺭّﻳﺎﺿﻲ ﻟﻠﺩّﻭﺍﻝ ﺍﻷﺳّﻳّﺔ ﻭﺍﻟﻠّﻭﻏﺭﻳﺛﻣﻳّﺔ

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(6) )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. 1 1 ( , )   .

y

1 

x

1 

( ) h x

(7) )ﺃ( ﺍِﻓﺤﺼﻮﺍ ﻣﻊ ﺍﻟﻤﻌﻠّﻢ ﻓﻲ ﺍﻟﺼّﻒ .

)ﺏ( ﺭﺳﻢ ﺑﻴﺎﻧﻲ I . ﺍﻟﻤﻨﺤﻨﻰ ﺍﻟﻤﺘﻘﻄّﻊ ﻳﻤﺜّﻞ ( ) f x .

y

y 

)ﺏ(

(8) )ﺃ( ﺭﺳﻢ ﺑﻴﺎﻧﻲ I – ( ) g x ، ﺭﺳﻢ ﺑﻴﺎﻧﻲ II – ( ) f x .

3

x

y 

)ﺩ( ﺍُﻧﻈﺮﻭﺍ ﺍﻟﺮّﺳﻢ ﻓﻲ ﺍﻟﺠﻬﺔ ﺍﻟﻴﺴﺮﻯ .

)ﺝ( 3

y 

3

)ﻫـ( ) i ( ﻛﻼّ .

) iii ( ﻧﻌﻢ.

) ii ( ﻛﻼّ .

4 

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

( ) h x

y

4

e

( ) h x

x

2 , e _ i 1 0

y 

)ﺝ( ﺭﺳﻢ ﺑﻴﺎﻧﻲ II .

)ﺏ( 0

(10) )ﺃ(

y 

)ﺝ(

)ﺏ( ﺭﺳﻢ ﺑﻴﺎﻧﻲ I .

(11) )ﺃ(

1 ( , ) e

0

y 

)ﺏ( ﻻ ﻳﻮﺟﺪ .

(12) )ﺃ (

0

)ﺩ(

)ﺝ(

)ﺏ(

(13) )ﺃ(

y

y

y

y

( ) q x

( ) f x

( ) g x

x

1 3

3

2 3 

1 3

1

x

x

x

( ) h x

1 2 ( , )  ، ( ) q x –

)ﻫـ( ( ) g x –

1 2 ( , ) .

11 ( , ) ، ( ) h x –

(14) ﺭﺳﻢ ﺑﻴﺎﻧﻲ III . (15) ﺭﺳﻢ ﺑﻴﺎﻧﻲ I . (16) )ﺃ( 0 y  )ﺏ( ( ) f x – ﺭﺳﻢ ﺑﻴﺎﻧﻲ I ، ( ) g x – ﺭﺳﻢ ﺑﻴﺎﻧﻲ II .

© ﺟﻣﻳﻊ ﺍﻟﺣﻘﻭﻕ ﻣﺣﻔﻭﻅﺔ ﻟﺟﺎﺑﻲ ﻳﻛﻭﺋﻳﻝ –

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