دروس ملخصة جدا مادة الرياضيات


سحابة تخزينية تعليمية اجتماعية wwwbacdocma إعداد ابقوي نورالدين للمزيد من الدروس wwwbacdocmausernourredine مرحبا بكم في موقع wwwbacdocma اكبر سحابة تخزينية تعليمية اجتماعية نقدم لكم اليوم دروس ملخصة جدا مادة الرياضيات بالتوفيق
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4 a 0 ax b W b a x a amp ax b a ampG a 0 ax bx c 2 -- 01 W x ax bx c 2 HBW W W x x 0 x- x amp lt 0 S x x a amp JK 0L 0 2 b S a b a x amp a amp a x 2 2 b x a x a b2 - 4ac gt 0 S x x 1 2 MW 1 2 b x a 2 2 b x a x1 x2 x amp a G amp a amp a x FOPQW 1 2 E x x lt 1 2 x a x x x x O 8Samp 1 x 2 a x ax bx c 0 2 0 DW x OTUW 1 2 b x x a 1 2 c x x a -- 01
5 6 789W b a L 2 2 2 a b a ab b 2 2 2 2 a b a ab b 2 2 2 a b a b a b 3 3 2 2 3 a b a a b ab b 3 3 3 3 2 2 3 a b a a b ab b 3 3 3 3 2 2 a b a b a ab b 3 3 2 2 a b a b a ab b lt8 1 4W L Q P W Df 1-21-2 1-2 W D WW U UD WUx DKVDKV DKVDKVf f x x Df x f x Q x D x Q x f 0 D x x f 0 f x x x f x Q x D x Q x f 0 gt x f x Q x D x x f 0 Q x gt 0 x f x Q x Q x 0 f 0 x D x Q x 6 789 1
6 7 18W x x n x x n 4 lim 0 n x x lim 0 x x gt 1 lim 0 n x x 1 lim 0 n x x lim x x 1 lim 0 x x W OTU UOTU U OTU UWOTU Un O 8SampO 8Samp O 8Samp W OTU XOTU X OTU XWOTU Xn O 8SampO 8Samp O 8Samp lim n x x lim n x x 1 lim n x x gt 1 lim n x x lt lim n x x lim n x x 1 lim n x x gt 1 lim n x x lt 4 4 W A P quot Y8 quot D P Z quot Y8 quot quot D W 4 sin lim 1 x x x tan lim 1 x x x 1 cos 1 lim x 2 2 x x x u x W 4 lim x x u x lim x x u x l l 0 P P x0 PL x0 -gtlt quot Z 1lt
7 WB1C lim lim 0 x x x x f x V x f x V x l l 0 0 lim lim lim x x x x x x u x f x V x u x f x V x l l l lim lim x x x x u x f x f x u x lim lim x x x x u x V x f x V x gtlt- quotZ 0 PLx 0 P P x W D WE l l l lim x x f x l lim x x g x l l lim x x g x f x F WE l l lt 0 l gt 0 0 lim x x f x l lim x x g x l l lim x x g x f x WE GH l l l lt 0 l gt 0 0 lim x x f x l 0 0 lim x x g x l l lim x x g x f x W I gtlt- quotZ 0 PLx 0 P P x
8 97 K 41JW 1W lim x x f f x f x x0 a4 D 41J W E0 D 41J lim x x f f x f x gt x0 4La lim x x f f x f x lt x0 4 a 4L a f 0 x0 a4 f x 4 D 41JW a b 8a443 d f c 8Sampa b b3 24 f O- a b b3 d4 f c 8Sampa b eV3 24 f O- b 4 a a 4 La D 4 W D k I 3 2L4L g f I 3 d4kf f g f g 3 LOTUI -5g c 8Samp 1 g f g I 3 dL4 4 8 LMW 4Z8 quot-2 4x x O 4x x cos x x sin O quot-24x x tan 2 k k E B 41W f I J MfW J 3 24g I 3 24 f c 8Samp I 3 d4g f OTUW 8 4 NW 0gD4 0g gt 3 2D4 3 2 gt I 3 2 0glt- 4f WNH J f I D 3 3 dlthiA 41J
9 f I 3 d I 3 d I 0g4g -f I 0g-f f b f a f a f b a b lim a b x b f a f x lim x b f x f a lim a b x a f x f b lim x a f b f x lim lim a b x a x b f x f x lim lim x b x a f x f x lim a x f a f x lim x f x f a lim lim a x a x f x f x lim lim x x a f x f x lim a x f x f a lim x f a f x lim lim a x x a f x f x lim lim x a x f x f x x x lim lim f x f x lim lim x x f x f x W9 O7 6P f b f a L 47 DjTUa b 3 24f c 8Samp f WMfa b 3 d Dg W f a f b lt 0 a b 3 24f c 8Samp a b 3 dkampD glt- f x 0 OTU f a f b lt 0 a b 3 2 0glt- 4f c 8Samp a b 3 dkampD lt- f x 0 OTU WQM amp 7R f a f b lt 0 WMfa b 3 2 0glt- 4f a b 3 da f x 0 0 WO 8Samp 2 a b f a f lt 0 WO 8Samp 2 a b f b f lt WOTU 2 a b a jKhlZ lt lt 2 b a 3 d0Z ampm 2 a b a 34n 6PKhl- WOTU 2 a b b jKhlZ lt lt 2 b a 3 d0Z ampm 2 a b b 34n 6PKhl- quotUFjKhl-34oOPkamp0Z ampm Z W I
10 K S7J 8TW quotc 8SampW x0 a6 g f 3ampO 0 0 lim x x f x f x x x quot a f ep- quotZ 0 j W x 0 f x W D U0 4J D ampW a6 g f 0 x C4UPr0a f nq DW x 0 0 0 y f x x x f x D 8W Uu 0 0 0 u x f x x x f x C4UPr0a f n s- 0 u f t-D x 0 x E0 D S7J 8T J E0 D S7J 8T W quotc 8Sampx0aL6 g f 3ampO lim x x f x f x x x gt quot La f ep- quotZ 0 j W x 0 f x d quotc 8SampW x0a 6 g f 3ampO lim x x f x f x x x lt quot a f Z- quotep 0 j W x 0 f x g a6 g f O- 0 a L6 g f c 8Sampx 0 x 0 0 f x f x g d W41J S7J a6 g f c 8Samp 0 a4O- f OTUx 0 x WJ 4 lt8 7X 4 f x f x k k 0 x 1 1 x2 1 x r 1 rx r r 1 x 1 2 x x sinx cos x cos x sinx 2 2 1 1 tan cos x x tanx S7J
11 W 7X JE B 7X -7X 4 D k ku k u u v u v u v u v uv u v uv 1 n n u nu u 1 2 v v v 2 u u v uv v v u v u v v 2 u u u W gtY1 S7J I 3 26 gf I 3 d- f x I f x 0 I 3 d4g - f x I f x 0 I 3 d f x I f x 0 WQZ S7J nDC l quot lt Cf W lim x x f x f x a x x a 0a J a jj A x f x 0 0 lim 0 x x f x f x x x a6 g f x 0a UP J 0 0 A x f x 0 0 lim f x f x a x x x x a 0aLq J14 0 0 A x f x a jj 0 0 lim 0 f x f x x x x x 6 g f Lm 0 x 0 a LDUPq J14 0 0 A x f x 0 0 lim f x f x x x x x Lvq J14 wjA x f x 0 0 0a 0 0 lim f x f x x x x x gK f 6 Lm 0 x Lvq J14 wjA x f x 0 0 0a 0 0 lim f x f x a x x x x a 0a q J14 0 0 A x f x a jj 0 0 lim 0 f x f x x x x x 6 g f x 0a DUPq J14 0 0 A x f x 0 0 lim f x f x x x x x a vq J14 0 0 0 wjA x f x 0 0 lim f x f x x x x x gK f 6 x vq J14 wjA x f x 0 0 0a
12 -0 5W n x7x a j vZoO Cf eySampO O hpW 2 f f x D a x D 2 f x D f a x f x -0 W n x8I a b -O0 Cf O O hpeySampW 2 f f x D a x D 2 2 f x D f a x f x b 9J 97 W - 7 nOO 8Samp3 2 3 dZj- JHzcy x I f x 0 O 8SampW OTUWn Cf I Od3 7nO O 8Samp3 2 6U3 dZj- JHz x I f x 0 O 8SampW OTUWn Cf I O 7 d3 rn0Dn9 00 nZ-KV a- f c 8Samp 0 KV-H x nOTU Cf C4UP9 00lt 0 x -a f c 8Samp 0 KV-O x nOTU Cf C4UP9 00lt 0 x 0- 0- 9J 97
13 lim 0 x f x ax b lim x a f x a x lim x f x lim x f x x lim 0 x f x x lim x f x ax b lim x f x ax ltW Cf j W x a ltW Cf U j gt U7 u ltW Cf U j 7-t u ltW Cf U jo j vZ y ax u ltW Cf j W y ax b u ltW Cf UP j W y a u lim x a f x lim x f x a
14 NH W I 3 2 0glt- 4 f c 8Samp I 3 dw f I 3 dUlt- f OTU C W 1 f LMW 1 f x y f y x x I y f I 1 x I f f x x 1 y f I f f y y YN W I 3 2 0glt- 4f I 3 d4y f I 3 d4x D U 5 W 1 f x y f y x Vgtx 5 y n 1 f x f I x 4 W41 I 3 2 0glt- 4 f c 8Samp OTU 1 f f I 3 d4 WS7 I 3 2 0glt- 4 f f I 3 d4x 0 0 y f x a6 g f c 8Samp 0 x 0 f x 0 OTU 1 f a6 g 0 y W 1 1 f y f x I 3 2 0glt- 4 f I 3 d-5 f p quot I 3 d6 g f c 8Samp OTU 1 f f I g3 d6 W 1 1 1 x f I f x f f x
15 81 W I 3 2 0glt- 4f 1 f f KV-nG C Q W W6 I n Cf n 1 Cf 1 A a b C f f A b a C lt x a Wj UP lt y a Wj UP lt y b Wj lt x b Wj lt y ax b Wj Wj lt 1 b y x a a Wg g0 yo x ay b Eq J14 PF Jlt Eq J14 PF Jlt UP Eq J14 PF Jlt UP Eq J14 PF Jlt I 3 2 0glt- 4f f LO ltOE 1 f oJ oa o3 14lt O
16 1 1 NHW W n Z-gt-gt- n Ux x C W n n n x x 2 n n x y x y x y NH JW 2 x x W 3 x 3tZ x NHW 2 n n n n n n n n x y n x x x x x y x y x y x y gt gt 2 2 n n n n m n m n n n n m n m x y m n x y x y x x x x y y y x x 6 IW x y x y x y 3 3 3 3 3 3 2 2 x y x y x x y y 0W W Df 1-21-2 1-2 W D 8U 8U 8UD 8Uf n Df 0 f x x n D x x D f u u x 0 f x u x W P P x0 PLx0 -gtlt quot Z lim x x u x lim n x x u x l 0 n l n n 7
17 W41J n 4x x I 3 2Uu OTUI 3 24 ltu c 8Samp n I 3 d4x u x WS7J n 0 3 d6 gx x W 1 1 0 n n n x x n x I 3 2Uu I 3 26 g 0gltu c 8Samp OTU n I 3 d6 gx u x W 1 n n n u x x I u x n u x a x x a n W D Xn vUn a gt 0 n S a a n n S a S 0 S 0 a 0 a lt 0 S a n S W9T B Q77 7 p r q WMK Z p q p r p q q x x x x WI 1 0 n n x x x WD 8Ux DKV f 1-2 r r f x u x u x gt 0WD D x x D f u 1 1 1 1 n n n u x u x u x u x n y x 4 r r 4 r r r r x x x x x r r r r r r r x x y y r r r x y x y 1 r r x x r r r r x x x
18 W 8 Z 1- 1- u u r n n 1 q r u q u n n 1 q q u u n p r n p p n n p u u q n p p n 2 2 2 1 1 1 n p p n p q u u u q 1 1 1 n p p n p q u u u q q 1 c b a b a c 2 2b a c Y n n I u u n I u M n n I n M lt u n I u m n n I n m V4 n n I u V4 lt n n I u 7 81W n n I u u n I u u n n I n n 1 4g - u n I u u n n I n n 1 - u n I u u n n I n n 1
19 W n W Wa lt 0 gt 0 lim n n lim 0 n n n Z Wq Wa q q 1 lt lt 1 1 q q 1 q gt 1 lim n n q lim 1 n n q lim 0 n n q n q quot CG W7 b D lt - 8 D V4 4g - 8 lim lim lim n n n n n n n n n v u w v u v l l l lim lim 0 n n n n n n u v u v l l lim lim n n n n n n u v u v lim lim n n n n n n u v u v Wu f u n1 n Y WD 8U un n n 1 u a u f u I 4a f I I MfI 3 24 f M c 8Samp OTU un f x x W l quot quot
20 4 D Nc 4W W 1 I 3 2U f I 3 d f gtPDF OP3 O O hpeySampW I g3 d6 F x I F x f x NHW 3 dZgtPlt-3 248 I 3 2U f OTUW I 3 d f gtPF c 8Samp D WW I U f gt3 Hz x F x k k I lt-3 2gtP f I 4x 0 4y I 3 d f F gtP- F x y 0 0 DltpeyW Q77 F W - Nc 4 WE 0d NHW k I L3 2LUL g f OTUDW I 3 dg f LLgtPLG F c 8Samp I 3 d f g gtP F G I 3 d kf gtPkF 4 Nc
21 4 4 Nc gt 4 WJ f x F x a ax k 1 2 2 x x k 1 k x 1 x2 2 x k 1 x 1 1 r x k r r x r -1 sinx cos x k cos x sinx k tanx k 1 1 tan 2 cos 2 x x ln x k 1 x k x e k x e WNc 4 lt8 S7J eN 40 f x F x 2 u x k u x u x 1 k v x 2 v x v x 1 1 r u x k r r u x u x r -1 ln u x k u x u x u x e k u x u x e 1 sin ax b k a a 0 cosax b k 1 cos ax b k a a 0 sinax b
22 9T D 1W 1W I 3 d f gtPF I 3 24f I 3 d4 b a DW b kampa f - b a b f x dx F x F b F a a NHW 9fW a f x dx a a b f x dx f x dx b a b b k kf x dx k f x dx a a b b b f x g x dx f x dx g x dx a a a 4 TW b c b f x dx f x dx f x dx a a c B1C W x a b f x 0 O 8SampW 0 OTUW b f x dx a x a b f x g x O 8SampW OTUW b b f x dx g x dx a a 9 07W a b 3 24 f WDD03 d 1 b f x dx b a a F c8 W I dL43 v uLMfI 3 26 L gLv u I 3 d4b a b a b b u x v x dx u x v x u x v x dx a a o i j okamp i Lquot o 0 D0 u A j 1 u A i j Q
23 a b 3 24f nL 4 Cf gt U7 W ZL x b x a DW b f x dx u A a a b 3 2L4Lg f LnL 4 Cf Cg 7 W ZL gt U DW x b x a DW b f x g x dx u A a WNH J WDoaDlt DnA- o lt f a b 3 d b f x dx u A a lt f a b 3 d b f x dx u A a ltf a c 3 d lt f c b 3 d c b f x dx f x dx u A a c Cg 6UCf a b 3 d b f x g x dx u A a Cg 6U Cf a c 3 d Cf6U Cg c b 3 d c b f x g x dx g x f x dx u A a c O 73CfnO odo a b 3 2a 8 gt U W 2 b V f x dx u v a Wuv
24 lt 0g 1W ogtDvKlt 1 x x 0 3 d ln CW 1a-r NH W ln 1 0 ln 1 e x y 0 0 ln ln x y x y ln ln x y x y gt gt ln y x y x y x e 0 0 ln ln ln ln ln 1 ln ln ln ln ln r x y xy x y x r x x x x x y y r ln ln OTUW X n O 8Samp n x x n x 0W W Df 1-21-2 1-2 W D 8UD 8U D 8UWD 8Uf و u x gt 0 f x u x ln D x x D f u 2 f x ln u x f x ln u x و u x 0 D x x D f u A W lim ln x x lim 0 ln n x x x lim ln x x gt lim ln 0 n x x x gt 1 ln lim 1 x 1 x x ln 1 lim 1 x x x n 41JW 0 3 d4x x ln I U3 2 u I 3 d4x u x ln OTUI 3 24 0gltu c 8Samp 4 0g
25 WS7J 0 6 gx x ln 1 x x 0 ln x I 3 2Uu I 3 26 g 0gltu c 8Samp I 3 d6 gx u x ln WOTU W ln u x x I u x u x WQ Wln x 1 lnx - a 1 Wa a Uh Og W1 W CrDa q o oga l WM ln 0 ln a x x og x a l WNH 1 0 1 a a a og og l l 0 0 og og og a a r a x y r x y x y x r x a l l l 0 0 1 a a a r a a a a a a a x y og xy og x og y og x r og x og og x x x og og x og y y l l l l l l l l l l r 1amp 0 1 lt lta a gt 1 l l og x og y x y a a lt lt l l og x og y x y a a gt gt lim lim a x a x og x og x l l lim lim a x a x og x og x l l W7X 1 ln a x og x x a l
26 lt 0g 1W gtK DgtK exp C W exp x HB x x e NH W x x e gt ln x x e x ln 0 x x e x ln x x y e y x y 2 x y x y x y e e x y e e x y gt gt gt gt gt gt x y x y x y e e e r x rx r e e 1 x x e e x x y y e e e 0W W Df 1-21-2 1-2 W D 8UD 8U D 8UWD 8Uf x Df f x e u x D x x D f u f x e WA lim x x e lim 0 x x e lim x n x e x lim 0 n x x x e 1 lim 1 x x e x n 41JW x 4x e I U3 2 u OTUI 4d3 u c 8Samp u x I 3 d4x e 4 c
27 WS7J x W 6 gx e x x x e e I 3 2Uu W OTUI 3 d 6 g u c 8Samp u x I 3 d6 g x e W u x u x x I u e x e Q Wln a 1 Waa Uh c W1 oga exp W C a q - l a exp x HB x a x a WNH x x a ln x a e x log a x a 0 og x a x a a l 2 x y x y a a x y x y 0 og y a l x a y x 2 x y x y x y a a a r x rx r a a 1 x x a a x x y y a a a W1amp 0 1 lt lta a gt 1 x y a a x y x y lt lt a a x y gt gt lim x x a lim 0 x x a lim 0 x x a lim x x a 1 lim ln x x a a x W 7X ln x x a a a
28 z a ib a b 2 i2 1 D2W i7 P 8W a b 2 MW z a ib z vY -a ib Re z j W z Da Im z j W z Db D z OTUIm 0 z O 8SampW WjNH j Ugt z OTUIm 0 z Re 0 z O 8SampW E7 i1W L z z z z z z Re Re Im Im z z 0i7 Q W oJ okamp v 1 2 o e e i7 bkW a b 2 M W z a ib z a ib vW z eU Dnlt O M z M z z z z z z z z z n n n z z 1 1 z z z z z z z 0 D z z z 9gtD z z z z z z 2 Re z z i z 2 Im 2 2 zz z z Re Im i7 W a b 2 M W z a ib M a b 0 z v M z t W z gt-M 0 M 0ez OM quoteZ8z OM z t W z Aff OM P a b 2 M W z a ib z zz a b 2 2 tDW z v c 7
29 n n z z n z z z z z z z 1 1 z z z z z z z z W gtg i7 c 8 Q X M j-gtK z e1 OM Wquot gP z v argz W j arg 2 z Wt K z arg 2 z r z HB W z vDEEp z r i r cos sin WD z v i z re WNH J Ka DEE a lt 0 a gt 0 a a 0 2 ai a a a 2 ai a arg arg arg 2 zz z z arg arg 2 z z arg arg 2 z z arg arg 2 n z n z 1 arg arg 2 z z arg arg arg 2 z z z z r r rr r r r r n n r r n 1 1 r r r r r r i i i re r e rr e i i re re i i re re n i n in re r e 1 1 i i e r e r i i i re r e r e r k r k r 2 د z z k arg arg 2 z z k د ف k WgtA YN Wk YN cos sin cos sin n n i n n i n 1 cos 2 i i e e 1 sin 2 i i e e i Wa a z z a 2 W 32 W S a a a gt 0 S 0 a 0 z z a 2 S i a i a a lt 0
30 a 0 77 Ac b a Waz az bz c 2 0 W W 32 W gt 0 2 2 b b S a a 2 b S a 2 2 4 z az bz c b ac lt 0 2 2 b i b i S a a W7 c 9 6 O6amp quotDC g AB z z B A AB U A B 014I 2 A B I z z z AB AC q g arg 2 c A B A z z AB AC z z C B A C A B A z z z z D C B A D A B C B A D C z z z z z z z z P D A D C B A B C z z z z z z z z g quotDC z z r A r gt 0 AM r r quot A 8r kampD-M z z z z A B AM BM AB kampD-M 2 C A B A z z r z z A a o gMEABC 1 C A B A z z z z A aLg v MEABC 1 2 C A B A z z z z A a o g Lg v MEABC 1 3 C A B A z z z z Av MEABC WJ lt 7 l WvjEx n X Stquot u u quoteb M z z b 0e M z k z k jlt 8vZ h D8 n j X 8vZr O i z e z 0e M
31 WA A A W A A W A A W A y ay b a 0 ax b y x e a WA A A W A quot W quot quot quot W -gtW -gt -gt -gt W WA A A W A gt 0 LL r2 r1 L 1 2 r x r x y x e e 2 MW r 0 rx y x x e 2 MW y ay by 0 2 0 2 4 r ar b a b lt 0 LUQLLW 1r p iq 2r p iq cos sin px y x qx qx e 2 MW J ampquot
32 o i j k oJ okamp BZ6 a lt 4 Y WQ0 FJ OI J F Q u a b c v a b c Lquot 3 u v aa bb cc u a b c 2 2 2 i a a b b a a a a u v j b b i j k c c c c b b k c c kW DW B A L0L U AB x x y y z z B A B A B A 2 2 2 DW ax by cz d 0 j P M U 2 2 2 ax by cz d M M M d M a b c A u o M U DW AM u d A u W n a b c ax by cz d 0 quotP AB AC OTUKC B Ac 8Samp quot ABC D U 5 W ABC ym M ABC AM AB AC 0 k W DW R quot a b c 8U x a y b z c R 2 2 2 2 Mmamp Z
33 5 ymAB 0gPPSU M S AM BM 0 WD U quot AB14 8SW 2 AB 0 ax by cz d S R k nR71 8vH d H d WHB P S O h 5 Sq JP H 0a SH0P C eU H W 8 W quot 2 2 r R d W O7 S R k nR71 o8vH d H d WHB oS O h 5 Sq Jo H 0a SH0o LL0a
34 QMW 1W CardE j W E dgt E quot2D Card 0 WNH NHW O quotO 2 B A Card A B CardA CardB Card A B O0W 1W E quot2A A CrdDW E lt Ao A x E x A M IW A A A A E cardA cardE cardA Qc A W p p quot t0- Y ampSFo3 5O 8 n1 8 O 8 5D EoF n2 8 oF p O 8 5 np 8 n n n n 1 2 3 p WOTU 8 1C j8 W - 8 1C 8 1CW p n 4 p n 4W n L 4p lt-Q3 p n
35 W8 j8 1C p n 4 p n W4n L 4p 3-O lt-Q 1 2 1 p A n n n n p n p WNH 4n 3lt-Z8-4n L 4n 3-O lt--8 n n n n 1 2 2 1 W ampW n gt quot2E p n p gt E A8 4n L 4 p 3l- W lZ p p n n A C p Cn p An p n Wc 1 2 2 1 0 1 n n n n n p n n C p n p p n n A n p 1 n C n n n1 Cn 0 1 C n n 1 Cn p n p C C n n C C C n n n p p p 1 1 WB A lt8 p n 4n L 4 p tn W D 3 a t-Q W ltn Wtn D p Cn oquotK p 3T H n quoto 3ampO H p An oquot
36 9 W W W D 5D 5 D 5W i04 i04D 5i04 lt- 8E8P p p 2D O8 O8 A A 4B D 8 Oa B AO eySamp A B ey P B PAeySamp A B ey An B A A A A و A A B LKO B A o 7 J 40oW 1W p ampO8 jgaiD 3 pi W i OP33 pi t W P p i i ZO-r 55 523 O 8SampvP 1 2 3 A n W A 3 OTU 1 2 3 p A p p p p n NHW p ampO8 p 1 p 0 A0 1 p A WL y3 L y3 L y3 WL y3 B AL p A B p A p B p A B LK B AO 8Samp p A B p A p B 3W B 3B 3B 3W B p A p A 1 WA J0J i1 quotkW 1W 5Hzc 8Samp quot ampO8p a3 5 W A83 OTU cardA p A card J0J
37 WE- 7 JQRX 40J p A 0 WMfp G L0lt-LB A W1 We7AOP B 3 p A B p B p B A p A A W p A p B 0 WMfp G L0lt-B AL p A B p A p p B p B A W A B W1 p G L0lt-B AL OO B A p A B p A p B WNH p ampO8 1 2 3 1 2 1 2 WA 1 2 1 2 p A p p p p A A HJ W p j p a A WltB k A ey3 O U n ZPSamp 1 k k n k n k n C p p WQMX gtY 40 jT p ampO8 pKV WL LHltX DpKV3 O gn y 1 2 3 X x x x x n X KV Zlro2W 3 5tw p X x i 12ndi WQMX gtY ip9 qJ JY JQquot c n x 3 x 2 x 1 x i x j g pKVX WD 3 9 pn p3 p2 p1 p X x i WX KVDA 1 1 2 2 3 3 E X x p x p x p x p n n V X E X E X 2 2 WX KV V W1 X V X WX KVvX09w5 j7 WQ n Zp aA3 p p n X-A quotUenr 8 vZX DpKV 012 1 k k n k n k n p X k C p p V X np p 1 E X n p
38 M J O7 4 W B E8 TW -1 cos 1 -1 sin 1 cos 2 sin 2 1 x x x x sin tan cos 1 1 tan 2 cos 2 x x x x x cos 2 cos sin 2 sin tan tan x k x x k x x k x A JW cos cos 2 x a x a k P x a k - 2 sin sin 2 x a x a k P x a k - 2 tan tan x a x a k k 2 3 4 6 x 1 3 2 2 2 1 2 sinx 0 1 2 2 2 3 2 cosx 1 1 3 3 3 tanx 0 2 x 2 x x x x sin - sinx sinx - sinx cos x cos x cos cos x - cosx - cosx sinx sinx 1 Qlt
39 W0 eN cos cos cos - sin sin sin sin cos cos sin tan tan tan 1 - tan tan a b a b a b a b a b a b a b a b a b cos - cos cos sin sin sin - sin cos - cos sin tan - tan tan - 1 tan tan a b a b a b a b a b a b a b a b a b WLM cos 2 cos 2 - sin 2 2 cos 2 - 1 1 - 2 sin 2 sin 2 2 sin cos 2 tan tan 2 1 - tan 2 a a a a a a a a a a a 1 cos 2 cos 2 2 1 - cos 2 sin 2 2 a a a a tan WHA 2 a t 2 sin 1 2 1 - 2 cos 1 2 2 tan 1 - 2 t a t t a t t a t W F r W r F 1 cos cos cos cos - 2 1 sin sin cos cos 2 1 sin cos sin sin 2 1 cos sin sin - sin 2 a b a b a b a b a b a b a b a b a b a b a b a b cos cos 2 cos cos 2 2 cos cos 2 sin sin 2 2 sin sin 2 sin cos 2 2 sin sin 2 cos sin 2 2 p q p q p q p q p q p q p q p q p q p q p q p q a b 00 a x b x cos sin W cos sin 2 2 cos sin 2 2 2 2 2 2 cos a b a x b x a b x x a b a b a b x WeD M sin 2 2 b a b cos 2 2 a a b
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جميع دروس مادة الرياضيات ملخصة جيدا مع مجموعة من التذكيرات و الملاحضات المهمة
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