S-exp-ii Math Devoir S2 10

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2004 -2003 :Δϴγ΍έΪϟ΍ ΔϨδϟ΍ ήϴμϧ ϦΑ ϰγϮϣ ΔϳϮϧΎΛ :Δ˰˰˰δγΆϤϟ΍ ϲϠϋ ϦΑ ϒ˰˰γϮϳ ϱΪϴγ :ΔΑΎ˰˰˰˰˰˰˰˰˰ϴϨϟ΍

ϱϮϧΎΛ ΔϴϧΎΜϟ΍:ϯϮΘδϤϟ΍ ΔϴΒϳήΠΘϟ΍ ϡϮϠόϟ΍ :ΔΒόθϟ΍ ΩΎ˰˰˰˰˰˰˰˰ϣϮ˰˰˰˰˰˰˰ϣ :ΫΎΘγϷ΍

ϲϧΎΜϟ΍ αϭήΤϤϟ΍ νήϔϟ΍ ΔϴϧΎΜϟ΍ ΓέϭΪϟ΍ H 2 :ίΎΠϧϹ΍ ΓΪϣ

B

exp ª¬  ln 3 º¼

ln

ϭ A

e 3

(ϥ 2.5) :ϝϭ΃ ϦϳήϤΗ :ϦϴϴϘϴϘΤϟ΍ ϦϳΩΪόϟ΍ ςδΑ .1

2 x 2  5 x  3 ( x  3)(.......) :ϲϠϳ Ύϣ ϢϤΗ΃ -΃ –

x \ ;e

2 x  ln ( 2 )

e

1 ­ x ;x  0 ° f (x ) x e ° ® f (0) 0 ° f (x ) x  x ln(x ); x ! 0 °¯

x  ln ( 5 )

3

0

.2

:ΔϟΩΎόϤϟ΍ ϞΣ -Ώ (ϥ10) :ϲϧΎΛ ϦϳήϤΗ

ςϴϘϨΘϟ΍ ϢϠγ 1 0.25 1.25

:ΚϴΤΑ x ϲϘϴϘΤϟ΍ ήϴϐΘϤϠϟ f ΔϳΩΪόϟ΍ Δϟ΍Ϊϟ΍ Ϧ˰˰˰˰˰˰˰˰˰˰ϜΘ˰˰˰˰˰˰ϟ

f ΪϨϋ ϭ f ΪϨϋ f ϲΘϳΎϬϧ ϭ D f ΩΪΣ -΃– .1

.0 ϲϓ ΔϠμΘϣ f ϥ΃ ΖΒΛ΃ -Ώ–

1

.ΎϴϧΎϴΒϣ ΔΠϴΘϨϟ΍ ϝϭ΃ ϭ 0ϲϓ f ϕΎϘΘη΍ αέΩ΃ -΃– .2 ΎϬΗέΎη· ΩΪΣ ϭ

\

1

* '  ϰϠϋ f (x ) ΐδΣ΃ -Ώ-

1 1.5

1

.ΎϬΗέΎη· ΩΪΣ ϭ

§ x 1 · x (x  \ ) ; f ( x ) ¨ ¸e x © ¹ * 

ƒ

'

ϥ΃ ΖΒΛ΃ -Ν-

1.5

f Ε΍ήϴϐΗ ϝϭΪΟ ςϋ΃ -Ω -

1

G G (O , i , j ) ϢψϨϤϣ ΪϣΎόΘϣ ϢϠόϣ ϰϟ· ΏϮδϨϣ P ϯϮΘδϤϟ΍

.3

(C f ) ϰϨΤϨϤϠϟ Δϴ΋ΎϬϧϼϟ΍ ωϭήϔϟ΍ αέΩ΃ -΃(C f ) ϰϨΤϨϤϟ΍ Ϣγέ΃ ϢΛ f (e ) ΐδΣ΃-Ώ(ϥ7.5) :ΚϟΎΛ ϦϳήϤΗ (n  1)! n!  n 3 :ϥ΃ ΖΒΛ΃ ˬ n t 2 ΚϴΤΑ n  ` ϦϜϴϟ -΃– .1 (n  2)! (n  1)! A n2 8  n :ΚϴΤΑ n ϲόϴΒτϟ΍ ΩΪόϟ΍ ΩΪΣ -Ώ(x  y )8 ϲϓ x 3 y 5 ϞϣΎόϣ ΐδΣ΃ -Νp (A * B )

0 .6 5 ; p ( B )

0 .3 ΚϴΤΑ ϦϴΛΪΣ B ϭ A ϦϜϴϟ .2 p B (A ) ϭ p ( A  B ) ΐδΣ΃ -΃p A (B ) ΞΘϨΘγ΍ ˮϥϼϘΘδϣ B ϭ A Ϟϫ -Ώ-

1.5 1.5

0.5 1 0.5

0 .5 ; p ( A )

.˯΍ήπΧ Ε΍ήϛ 5 ϭ ˯΍ήϤΣ Ε΍ήϛ 3 ϰϠϋ ϕϭΪϨλ ϱϮΘΤϳ .3 ϚϟΫ ΪόΑϭ.˯΍ήϤΣ Γήϛ ΎϬϟΪΑ ΪϴόϨϓ ˯΍ήπΧ ΖϧΎϛ ΍Ϋ· Ύϣ΃ ˬ˯΍ήπΧ Γήϛ ΎϬϟΪΑ Ϊϴόϧ ˯΍ήϤΣ ΖϧΎϛ ΍Ϋ· ˬΓήϛ ϕϭΪϨμϟ΍ Ϧϣ ΐΤδϧ .ΔϴϧΎΛ Γήϛ ΐΤδϧ " ˯΍ήϤΣ ϰϟϭϷ΍ ΓήϜϟ΍ ": E ΙΪΤϟ΍ ϝΎϤΘΣ΍ ΐδΣ΃ -΃" ˯΍ήϤΣ ΔϴϧΎΜϟ΍ ΓήϜϟ΍ ": F ΙΪΤϟ΍ ϝΎϤΘΣ΍ ΐδΣ΃ -Ώhtpp://arabmaths.ift.fr

1 1

1 2.5

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