1

1 ﻲﻧﺎﻤﺜﻋ ﺐﯿﺠﻧ :ذﺎﺘﺳﻷاmonsite.com-http:// xyzmath.e
ﻦﯾﺮﻤﺗ1: ﺔﻟاﺪﻟا ﺮﺒﺘﻌﻧ
f
ﺔﻓﺮﻌﻤﻟا ﻰﻠﻋ¡:ﻲﻟﺎﺘﻟﺎﻛ
()
223fxxx=++
1. ﺔﻟاد دﺪﺣ
F
قﺎﻘﺘﺷﻼﻟ ﺔﻠﺑﺎﻗ
ﻰﻠﻋ¡ ﺚﯿﺤﺑ
() () ()
;x Fx fx
¢
"Î=¡
2. ىﺮﺧأ ﺔﻟاد ﺪﺟﻮﺗ ﻞھ
G
ﺚﯿﺤﺑ
() () ()
;x Gx fx
¢
"Î=¡
3. ﺔﻟاد ﻦﻣ ﺪﺟﻮﺗ ﻢﻛ
F
ﺚﯿﺤﺑ
() () ()
;x Fx fx
¢
"Î=¡
؟
ﻦﯾﺮﻤﺗ2: ﺔﻟاﺪﻟا ﺮﺒﺘﻌﻧ
f
ﺔﻓﺮﻌﻤﻟا ﻰﻠﻋ
] [
0;+¥
:ﻲﻟﺎﺘﻟﺎﻛ
()
22
1
21fx xx x = + ++
1. ﺔﻟاﺪﻠﻟ ﺔﯿﻠﺻﻷا لاوﺪﻟا ﺔﻋﻮﻤﺠﻣ دﺪﺣ
f
ﻰﻠﻋ
] [
0;+¥
2. ﺔﯿﻠﺻﻷا ﺔﻟاﺪﻟا دﺪﺣ
F
ﺔﻟاﺪﻠﻟ
f
ﺚﯿﺤﺑ
()
13F=
ﻦﯾﺮﻤﺗ3:: ﺔﯿﻟﺎﺘﻟا لاوﺪﻠﻟ ﺔﯿﻠﺻﻷا لاوﺪﻟا ﺔﻋﻮﻤﺠﻣ دﺪﺣ
1(
()
4
5 31fxxx= ++
2 (
()
1
cossin1
fx xx
x
=++-
3(
()
sin cosfx xxx=+
4(
()( )
3
21fxx=-
5(
()
( )
2
21
x
fx x =-
ﻦﯾﺮﻤﺗ4:: ﺔﯿﻟﺎﺘﻟا لاوﺪﻠﻟ ﺔﯿﻠﺻﻷا لاوﺪﻟا ﺔﻋﻮﻤﺠﻣ دﺪﺣ 1(
()
32
846fxxxx= + ++
2 (
()
2cossin3fx xx= --
3(
()
2
2 sin cosfxxxxx=+
4(
()( )
2
45fxx=+
5(
()
( )
2
2
32
x
fx x =+
ﻦﯾﺮﻤﺗ5:: ﺔﯿﻟﺎﺘﻟا لاوﺪﻠﻟ ﺔﯿﻠﺻﻷا لاوﺪﻟا ﺔﻋﻮﻤﺠﻣ دﺪﺣ 1 (
()
221fxx=+
2(
()
21
x
fx x =+
ﻦﯾﺮﻤﺗ6:: ﺔﯿﻟﺎﺘﻟا لاوﺪﻠﻟ ﺔﯿﻠﺻﻷا لاوﺪﻟا ﺔﻋﻮﻤﺠﻣ دﺪﺣ
1(
()
21fx xx=+
2(
()
2
3
8
x
fx x =+3(
() ( )
sin41fxx=-
4(
() ( )
cos28fxx=+
5(
()( )
2
sin cosfx xx=
ﻦﯾﺮﻤﺗ7: ﺔﻟاﺪﻟا ﺮﺒﺘﻌﻧ
f
ﺔﻓﺮﻌﻤﻟاﻰﻠﻋ
[ [
0;+¥
: ﻲﻟﺎﺘﻟﺎﻛ
() ( )
2
2
2
1
xx
fx x
+
=+
1. ﻦﯿﯿﻘﯿﻘﺤﻟا ﻦﯾدﺪﻌﻟا دﺪﺣa وb:ﺚﯿﺤﺑ
() ( )
2
1
b
fxax =+ +
[ [
0;x" Î +¥
2. ﺔﯿﻠﺻﻷا ﺔﻟاﺪﻟا دﺪﺣ
F
ﺔﻟاﺪﻠﻟ
f
ﺚﯿﺤﺑ
()
5
12 F=
ﻦﯾﺮﻤﺗ8: ﺔﻟاﺪﻟا ﺮﺒﺘﻌﻧ
f
ﺔﻓﺮﻌﻤﻟا ﻰﻠﻋ
[ [
1; +¥
: ﻲﻟﺎﺘﻟﺎﻛ
()
1fx xx=-
1. : نأ ﻦﯿﺑ
() ( )
3
11fxxx= -+-
[ [
1;x" Î +¥
2. ﺔﯿﻠﺻﻷا ﺔﻟاﺪﻟا دﺪﺣ
F
ﺔﻟاﺪﻠﻟ
f
ﺚﯿﺤﺑ
()
21F=
ﻦﯾﺮﻤﺗ9: ﺔﻟاﺪﻟا ﺮﺒﺘﻌﻧ
f
ﺔﻓﺮﻌﻤﻟا ﻰﻠﻋ
¡
:ﻲﻟﺎﺘﻟﺎﻛ
()
( )
42
2
2
5 40 20 80
4
xxx
fx x
+ ++
=+
1. ﺔﯿﻘﯿﻘﺤﻟا داﺪﻋﻷا دﺪﺣ
a
و
b
و
c : ﺚﯿﺤﺑ
()
( )
2
24
axb
fxc
x
+
=+
+
[ [
0;x" Î +¥
2.ﺔﯿﻠﺻﻷا لاوﺪﻟا ﺔﻋﻮﻤﺠﻣ دﺪﺣ ﺔﻟاﺪﻠﻟ
f3. ﺔﯿﻠﺻﻷا ﺔﻟاﺪﻟا دﺪﺣ
F
ﺔﻟاﺪﻠﻟ
f
ﺚﯿﺤﺑ
()
0Fc=
ﻦﯾﺮﻤﺗ10: ﺔﻟاﺪﻟا ﺮﺒﺘﻌﻧf ﺔﻓﺮﻌﻤﻟا ﻰﻠﻋ
[]
0; p : ﻲﻟﺎﺘﻟﺎﻛ
()
cos sinfxxxx=-
1. ﺐﺴﺣأ
()
fx
¢
2.لاوﺪﻟا ﺔﻋﻮﻤﺠﻣ ﺞﺘﻨﺘﺳا ﺔﯿﻠﺻﻷاG ﺔﻟاﺪﻠﻟ
g
: ﻲﻟﺎﺘﻟﺎﻛ ﺔﻓﺮﻌﻤﻟا
()
sin cosgxxxx=-
3. ﺔﯿﻠﺻﻷا ﺔﻟاﺪﻟا دﺪﺣG ﺔﻟاﺪﻠﻟ
g
ﺚﯿﺤﺑ
()
0G p =
ﻦﯾﺮﻤﺗ11:ﻟاﺪﻟا ﺮﺒﺘﻌﻧ ﻦﯿﺘfو
g
ﻦﯿﺘﻓﺮﻌﻤﻟا
ﻰﻠﻋ0; 2
p
ùé
úê
ûë
: ﻲﻟﺎﺘﻟﺎﻛ
()
2
tanfxx= و
()
2
cos 2
x
gx=
ﻦﯿﺘﻟاﺪﻠﻟ ﺔﯿﻠﺻﻷا لاوﺪﻟا ﺔﻋﻮﻤﺠﻣ دﺪﺣf و
g
ﻦﯾﺮﻤﺗ12:: ﺔﯿﻟﺎﺘﻟا لاوﺪﻠﻟ ﺔﯿﻠﺻﻷا لاوﺪﻟا ﺔﻋﻮﻤﺠﻣ دﺪﺣ 1 (
()
221fxx=+
2(
()
21
x
fx x =+
ﻦﯾﺮﻤﺗ13:: ﺔﯿﻟﺎﺘﻟا لاوﺪﻠﻟ ﺔﯿﻠﺻﻷا لاوﺪﻟا ﺔﻋﻮﻤﺠﻣ دﺪﺣ
1(
()
23
2fx xx=+
2(
()
5
6
3
x
fx x =+3(
() ( )
3sin2fxx=+
4(
() ( )
2cos51fxx=+
5(
()( )
4
cos sinfx xx=´
ﺔﯿﻤﻳدﺎﻛأ
ﺔﮫﺠﻟا
ﺔﯿﻗﺮﺸﻟا
ﺔﯿﻠﺻﻷا لاوﺪﻟا:5 ﻢﻗر ﺔﻠﺴﻠﺳ
: ىﻮﺘﺴﻤﻟا ةﺎﯿﺤﻟا مﻮﻠﻋو ﺔﯿﺋﺎﯾﺰﯿﻓ مﻮﻠﻋ كﺎﺑ ﺔﯿﻧﺎﺜﻟا
ضرﻷاووﺔﯿﻋارﺰﻟا مﻮﻠﻌﻟا
:ذﺎﺘﺳﻷا
ﺐﯿﺠﻧ
ﻲﻧﺎﻤﺜﻋ
«
c’est en forgeant que l’on devient
forgeron » dit un proverbe.
c’est en s’entraînant régulièrement
aux calculs et exercices que l’on
devient un mathématicien