מתמטיקה - 4 יח"ל - כיתה י"ב - חלק א'

ﺟﺑﺭ ﻭﻣﻘﺩّﻣﺔ ﻟﻠﺗّﺣﻠﻳﻝ ﺍﻟﺭّﻳﺎﺿﻲ ﻟﻠﺩّﻭﺍﻝ ﺍﻷﺳّﻳّﺔ ﻭﺍﻟﻠّﻭﻏﺭﻳﺛﻣﻳّﺔ

ﺍﻟﻔﺻﻝ :3 ﻣﻌﺎﺩﻻﺕ ﺃُﺳّﻳّﺔ ﻭﻣﺗﺑﺎﻳﻧﺎﺕ ﺃُﺳّﻳّﺔ

- 35 -

ﺣﻠّﻮﺍ ﺍﻟﻤﺘﺒﺎﻳﻨﺎﺕ (18) – (14) ﺍﻟﺘّﺎﻟﻴﺔ .

4  _ i _ i 6 2 3 4 9 x 



1 2 5 5 x x   

2 3 2 32 x x   

1

x

(16)

(15)

(14)





1 5 5 1.2 x x   

2 4 0 x  

(18)

(17)



ﺣﻠّﻮﺍ ﺍﻟﻤﺘﺒﺎﻳﻨﺎﺕ (28) – (19) ﺍﻟﺘّﺎﻟﻴﺔ .

1 3   _ i

3  _ i _ i 1 1 1 2 4 x 





x x  

3

7

x

x

2 2 x

2

3

(21)

(20)

8 4

(19)

2 3   _ i







2

2

x x 





4

x

5

2

2

4 x x

x

x

25 5

1.5

4 2

8

(24)

(23)

(22)

 



5  

e  



2 x e e 

2

2

3

4 1 x

2

2

2

2

x x

x x

(27)

(26)

(25)

e

e

e

2   _ i x x 



5 2

2

x

x

(28)

e e

e

أﺟﻮﺑﺔ ﻧﮫﺎﺋﯿّﺔ

x 

x 

x 

x 

x 

1 2

1 .5

(5)

(4)

(3)

(2)

(1)

1

2

2

x 

x 

x 

x 

x 

3 4

0

3

(10)

(9)

(8)

(7)

(6)

1

2

(12) 

5 x   ,

x 

(11) ﻛﻞ x .

(14)

(13)

4

4

x

x 

x 

x 

x 

(18) ﻛﻞ x .

3

0

(19)

(17)

(16)

(15)

4

1

x 

x  ﺃﻭ 1

x  

x 

x 

0

2

3

(23)

(22)

(21)

(20)

4

7





x  

x 

x 

,

3

(24)

(27)

(26)

(25) 1

0.5

2

1

4

x

x

1 x   ,

(28)

5

x

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