Tổng hợp đề thi học sinh giỏi toán trên máy tính casio tỉnh TayNinh từ năm 20022011

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Tổng hợp đề thi học sinh giỏi toán trên máy tính casio tỉnh TayNinh từ năm 20022011

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! " () * + ,' #$% " &' (' - / !"$ % 23.23- - ! "# 4) / / &" ' 67 >0? &" !  =  ! − =  @ &" ( ? E ? C @67 / @67 H = /9 F :7/ ; < 67 > < 01= ; B -=C -; D G / H? IBJ / B L9 -M N G B O9-M N B P9J2O= ? @ E @ K / 2; A &" ) > F @ / &" * ) / > Q= &" + 67 / 67 ) D != !+ @67 : ;2 A 2; A B = &" , ) > / / S > / ) = ) &" - 8> H? 67/ 0D / U F @ / :7/ J 6T C ) B - N G- R / 6T / - B P9O- J N B 9J2JJ- N G < = ? : D7/ 6T @ E G / H? IB- 1= ) &" ) ? J : E T C :7/ - - 0D      / U &" ' ) G F ; / :7/ = 6S G > X Y C D S= > X Y @ / U F @ / :7/ J 6T C = + - + = − = F @ / / S :7/ J G / H? > Z > X > 1= " 6T C G V : / ' = @67S C W ; Y @ F ; / :7/ G 6/ E @ F = ? [ E ? C @ F : H M> X 6/ E > W F 0D / ! " \!, " ) #"' ', +_` ") a ]^ '() - - A - b&) ! "# / ' 12% 4) / / 1= c A A - &" ' 0J@1 ? / U 67 C!− &" ( 0J@1  ! − =  0 + D C !+ E T C 0; ; / @U ? G75 ;L &" * 0J@1 ) E T C E67 ? [ C !+ C !+ &" , 0J@1 ∆ ) ∆ 67 S ) !+ C !− H != π Mδ B d 9-J= 0$ % & & ! 1=  ! = −   ! + = − + -1 ? ;- −! = C ! 0 " " ! + = ! ! + / C !=  ! =   ! + + 0; :7/ # B ; R ;- ReR ; &" + 0J@1 10D ! &" ) 0J@1 ) #= α B J N C -β B 9- N C2γ B 9-L N F @ / B C 0-α R 2β R Mγ R Jδ1= -1 ) / U 0J@1 ? &" F @ / = ) F E6S R B -= ? @ E / 75 @ / G V 5> T @ F H D S : G / H? )= @67 &" - 0J@1 S E C ? > Z / &" 0J@1 ) :7/ = : @67 @67S @ > 7/ &" ' 0J@1 ? / α 75 @f 2D F [ ? > : : / @ F ) /@ E S G V E6S : H / @f V> : > @f V> S H = D # : #- = 8> / U 5 [ # B # R #- = G / H? I B L9P > : I- B M9J > ; / g gD / @ S H @ K 9 g9 g D / @ [>1= ? E ? # S G75 @67 : = & F & /= E K S S @ [> F / G [ ? / - #$% d+ ! " \h ' % &" ' 0J@1 ( ) ? / U *+ , 0J@1 &" " ) #"' ', c A - A - 2= \ J / +_` ) a G [ 6/ # - &./ 67 G1 ) &" ( 0J@1 - &23 !  =  !  = D ! ! >C = ) >C 67 &" * 0J@1 8> / U D7/ / U D7/ : b&) * ( 1= $ % ! :7/ ; B 9-2= !+ '.# /1 : ,+6 0! + ! + + C !− 7- = U 0)1= +U > @ [ 0)1 C!+ ? ;0 − 1= G1 8> S@ @ [> &" ) 0J@1 [ /, - 45&/26 78 = ; !1 = = 0!1 = ) = /@ F ! (4 S −D C !+ #= @ F ; / @67 Y B -; R >= !− ! − ! −! = U >C B i0;1 @ T : @ F U >C + ! − ! 10 ! + ! + D 0! − ! − = D + G [ 6/ = 0! − ! − + C ! :7/ C !+ C = ; 0!1 = ! = > / ) / @67 : T D F D67S D : T D > B = ? @ /9 C @ &" - 0J@1 ) T / @ F @67 - M J ? [ @ E / S : / @67 / T G1 ? E ? C J / @f D - M J E ? C J / #### ? fC = " T / @ F #### &" 0J@1 ) D S E D F /@ / @ / E67/ D / : c9 / S G @ F G V : G V O= 8> F D S E 0H / 6T @ / G1 ? [ ? D S E = : −!+ @ S j.N 2k= ! 0J@1 ) &" ' ! 0J@1 ≤;≤ 8> / U 5 >C ; ! 9 * N @67 = / )= G / H? / @ F IB = - / @ F :7/ M S J= 67 6/ D J : @ / E67/ 1= ! + < :7/ ;9 l9 D / C ≤ l ≤ ≤ = #$% d+ ! " \h " ) '( '() #" ', / J "'%" " %" ' & +_` ) a ' % ( ) &" ' 0J@1 2+ , # - &53 5+ > ) 0J@1 &" 2+ > )  ! @   ! ? 5+ 7?% % ^ &! a ) #"' * c A - A - M b&) * - &2= , - 5&2/6 78  ! + = @  !  ! + = ? I_ )4 1= 7- ( 1= $ % '5# 9 /,+6 = ! = + ' & & + ) ? + !+ @ − != &" ( 0J@1 , ; 0!1 = ! + ! + = % % C % &" ) 0J@1 7?% % C ) &" * 0J@1 , * ? ? 78 " &" + 0J@1 , % 2+ 78 " 5+ 78 * C! A != + % - !9*$ ) F - G&5 %6 H B D! $ '!5 5+E @ ;'!+ - * * % #1, #'5 +& 1'42 45+& ,'3 H ) % #1,6 ) % ) ' 2+ ! +6 #1,6 &" , 0J@1 7?% $ &" - 0J@1 ^ / -m= ? E & > ) / @ F ? ) / F F % @ ;'!+ - !5 / B-: / = / 75 @ / !:5 > ! π π   N    92 > X G / C @ α B O- g &" 5*67 ) 6/ E / &" ' 0J@1 ^ D > S D 67 H / = ? ' ) /' B ∧ ' B - ') B #I1 = ∧ ' 1I, = ? 67 [ ? /@ E D 67 S F @ / C @ @ G V - @67S @ X : G V> > @67 H? @ / V> > X / > / ∧ #I, = /9 S D ∧ 1I, = = T ∧ #IJ > / / / @f 67 V> ; S C M #$% ' d+ ! " \h " ) '( % ( ) &" ' 0J@1 ) >C ;RGD &" '() #" "'%" " %" ' & I_ ', +4 -c / n> - O d \ J / 0H H [ +_` ) a b&) * B i0;1 B C @ F S @ [> 0J@1 ) >C = 67 @ ; B U 0)1 ;R ! −!+ / /@ F B i0;1 B 2; d 0" ; A M; R " C /@ F ) #"' ( R 1= $ % U 0)1= +U @ ;B - ^ &! a , S [ @ F1 G @ [ @67 Y B = U 0)1= 0)1 ∈ 0)19 G S @ [> / = G= 75 = W 0)1 D S S = 8> S @ @ [> &" ( 0J@1 ) ∆ ) / C B 9cMcM- N B J92 > N ) B -9 > = ? @ E 1) S )= G1 ^ 0^ D @ [> )1= 1o &" ) 0J@1 67 ∧ 1#, ∈ )1= / -0C ; R C;1- B 20C ; A C;1 ' &" * 0J@1 8> / U D7/ : &" + 0J@1 ^ @ F D / > 7' ! p &" , 0J@1 ) 5 F / & E T C      &" - 0J@1 ) / :U ? G7 C 0E1 : T= \ D P>= \ / @ \ / 6T : D O @ G7 C ? 1@ [D @ S @67 [ 67 K G7 C 1D G p' &" 0J@1 /C S F 6T &" ' 0J@1 ) 6/ E S )= ? G / H? ^ = %$ & B i0;1 B C  ! + + D  >C H> H> 7: H> & + H> (! & + + !+ ) F@ D F f @ / c 7= 6/ pD F 6/ /= @ F / :U ?  N  = = + − + − = ? = ∀ ∈ Ν9 ≥ L : = V> : F ? @ :7/ / @ G7 C G7 C D MPL>= J>= ^ 67 @ 67/ C @ / @ : F :U ? = @ /@ @ / / %+6 / @ F ) F / S G V / / S E G V = S ^D >E @f > T ? > X 6/ E [ ? ) : D : ; / @67 / @ [> Y J #$% d+ ! " \h " ) '( ' % &" ' 0J@1 / 1) ( ) E T C :7/ &" 0J@1/ S : : = &" ( 0J@1 /      E T C :7/ -1 ) '() #" "'%" " %" ' & I_ ', ,4 -P / n> - L= \ J / +_` ) a b&) * > > B T: FG 0; > / + + + D C + + : / 65 @67 : T 1= ? fC E ? ∧ / #= @ S 8> @ 6/ G M :7/ &" * 0J@1 / 8> / U D7/ : &" + 0J@1 / o 67 8> / > @ /= -1 67 C q9 ; B > F @ / H =∑ / @67 @ : F q= ? D / D S / S S ;R /G )D > = 8> > @ [> C & & R R 2C ; B D ; /@ F D S= @ S j.N -k6 0d O N 1= + -0 U 0)1= 0)1 S @ [> ^ 67 A cC ;1 V> > X Y @f H > Z @f S > X @ / @ / V> / C ;= C; R ) :7/ 0d N M19 0d- N d-19 )0 N -1 : @ [> o0 N / )C @67 H / o ∆ ) = &" ' 0J@1 / ^ D 67 /> > X @f V> > > X G : 8> S D 67 / D B c9M >= > C0;- A ; R H ) − C ! / B MC 0; A 1= ∆0 @ E @ S ^ = ' D > + / > H? F @ E -1 67 &" 0J@1 / > S = = i0;1 B C 0;- R ; A R >C 2; B C; R = ? = ? - L= B M9L > ) B J9P >= > C i0;1 B -; A 2;- R 67 -1 ∆ W D S 0)1 S &" - 0J@1 / E67 ∧ &" , 0J@1 / ) = ? 1= $ % ) #"' ( " q9 , = : D -L >9 = -1 ) > / ) B )= ? @ E &" ) 0J@1 / 8> + − = ∧ ) / )= / = ^ &! a S [ @ ;^ B 0C ; R R = C;1 B "1 1= 8> S @ @ [> F /E ? > / > > Z > X G D S / D B- >: / @ F F V> G V / = O #$% *+ ! " \h ', " ) '( # O " %" ' & I_ -4 n> - c S [ / \ J / +_` ) a ' % ( ) &" ' 0J@1/ ) > C ; / @U G75 i0;1 B ? / U F @ / >C B ji0;1k G3 67 ij 0;1k B :7/ ; 0.N &" 0J@1/ > X Y :7/ S @ + 0-N O19 0d N 19 )0dON 21= S _ D F D67S D @67 Y ) 8> S @ / @f : _ G3 ? E ? > / _    &" ( 0J@1/ ? [ #B C  + C     &" ) 0J@1/ r / @U G3 +U >@ [ &" * 0J@1/ ! + 8> + &" + 0J@1/ % L0 d X C E67 ! = + 67 ) #"' b&) * ( C; : 0;1 B ; R D 0-R;-1 S ;B R F / : / '; > @67 / :  +  / @ [> 6S @ S 6S 67 ^ &! a [    C @ F U C; d >1 B D R ;1 0;N :7/ ;   + === +  5 / ) :7/ @f /       > ! − !+ ! + !+ @ S j N Jk 67 >C / C 1= $ % = ; 0!1 = !+ + =C ! + = C != = C!+ C ! &" , 0J@1/ 3^ [ 7S C ; / > / :7/ ; / C GU D F D67S D J N 9-J N 9- = ? ; / C @ [ [ 7S @ / / ? -> / S @ @67S = G3 S :6 / [ + S S @67S : M n> S > Z n> M @ F @ [ S ?9 :7/ D T C @ T 2s n>= # H + S S 9G S 5 / / C F > 0H @ [ T :7/ D T C 2s3 n> : J n >= ? C F > / G S 5 7S 0D > H K 7/ @7 :U1 &" - 0J@1/ ) > @67 ): / &" 0J@1/ > X Y @ [> 9 ) :7/ G75 / > :7/ / o S @ '; S ) : ) B N ) B -= : o ) / G / H? @67 N 19 0.N 19 ) 1, : E )N #- D E )= 8> S @ @ [> ) @ [ # B -=#- &" ' 0J@1 / ) 6/ E @ F @ E 6/ E 6/ E C H K / [ ? G V B J= 6/ E / α B -P 2Oq= ? @ [> o C K# fC K, = ? IB = S # D E Y @ /K [ ? ) D > '9 G / H? D7/ #1 = ? S 7/ ? Y S G75 @67 F 19 D S #, : E Y 7/ / 6/ E @ [> - S @ T : = L #$% d+ ! " \h " ) '( '() #" ', "'%" " %" ' & I_ ^ &! a ' - / n> - \ S [ J / +_` ) a b&) * ( ' % ( ) &" ' 0J@1 / + 0J@1 / ) &" 6/ G >C B ;RGD ) S @ [> / /@ F @ ;B  ! = N ! = − G75   ! + = ! + + 6T C = 8> ; @ /= E T C ; / @U D7/ /c 1= $ % K0 = N K = − N K0 = N K0 = − = 78 = ; ! = C j ! + D ! + 1k 0)1 &" ( 0J@1 / C G K0 ! ) #"' K0 U D 0)1= 8> : G @ [ @67 Y − ! = r / @U " @ [; D &" ) 0J@1 / 67 =0 C ! + C ! + C &" * 0J@1 / S &" + 0J@1 / ;2 : ;M C != =0 67 H % [ + ! D F D67S D : G= ? * ! +! + ! + =! ! +! + ! +! + +D &" , 0J@1 / 8> / U D7/ : / U 5 >C B i0;1 B =C ! + C! ! + !+ @ S jd2N -k &" - 0J@1 / ) > ? / C @ ) / @67 B J9M >9 @67 / #,1 \ B L9- >9 )^ B M9J >= % &" 0J@1 / > X Y = * ! + :7/ S @ '; 8> L= + 0! − + / @ [> ^ − !+ / S @ 0;N 1 @ S / U > T @ F H &" ' 0J@1 / ^ ) K / 8 ; @f #9 / > / #= ) 0@ / / 1= # B LJ #) B c # ) B MJ.= ? fC / : E ? > X @ / ) / #= ) 6T E / ? @ / > X ; P :4 ; < 3 ' '' !"$ % / % "2#! ' #"=> '' ?@ % / A1#! ?BC ?D % ?E#! ! "#/ '* 12% +_` ) a ' % &" ' 0J@1 / 0; d 10; R 10;d-1= 78 0J@1 / &" 8> &" ( 0J@1 / ) C &" ) 0J@1 / 67 &" * 0J@1 + + + &" + 0J@1 / &" , 0J@1 / 8> / U D7/ b&) * G K0 ! = ! − ! + ! + ! + *! + ( ) + 6/ G K0 ( @ @ [> @ F U >C  ! = N ! = G75   ! + = ! + − ! 6T C = 8> ; @ /= ; 0!1 = ! E T C ; / @U /c =0 C ! − C ! + C 6/ !+ = =0 − ! + ! − ! + === + ! + === + 67 : 6/ S @ 1= $ % @ / / U D ! B;R : =D ! [: / >C = r / @U " @ [; D % / −! 0!1 = ! + ! + D E67/ E S / V C B 9===9- B i0;1 B ! + C ! + 1= ? C !9 ! ∈ j N k &" - 0J@1 / ) > / ): T / 65 @67 : T= ? [ E S @67 ? &" 0J@1 / > X Y :7/ ! + = = 8> : D7/ &" ) @ X C / ) B >9 # = = H? N ): ) > D67T D F>p S @ '; _D? 0_1 6T /E ? 0_1= ' 0J@1 / / G V C 52 = ? [ ? / / G / H? @ / D B > : @f : / G / / / @f D @f : / E H8 / > K / @ / S D > / @ F = / > @67 / / = c

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