Đề luyện thi THPT Quốc gia môn toán số 100

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 3 W & & P a b a b ab a b = − + + + + + ''''''''''''''''<0''''''''''''''''  %( SH U*kH+ *2 , Tp xỏc nh: Ă { } S bin thiờn: l!*mH;*<0!*=$ ( ) ( n % y x x =- < " ạ - 3 %3( l5 67+!A#!;*<0F=#9#_!48+ ( ) `- Ơ >5 ( ) `+Ơ 3 l *K*!^>50*Q #d$ l * * x x y y đ- Ơ đ+Ơ = = $0*Q #d+,+$ y = * ` * x x y y + - đ đ =+Ơ =- Ơ ị 0*Q #d1P+ x = 3 %3( lg8+;*<0!*=$ x + n y y + %3( o# th: l@0!A#p0Oy0^* %` O ổ ử ữ ỗ - ữ ỗ ữ ỗ ố ứ l@0!A#p0Ox0^* `% O ổ ử ữ ỗ - ữ ỗ ữ ỗ ố ứ lS 17*\P+51*2 ( ) `I 3 8 6 4 2 -2 -4 -6 -8 -15 -10 -5 5 10 15 f x ( ) = 2 x+1 x-2 %3( ; Q67+J#_q'( ( )   ( (   x x x =  − ⇒ = − ⇔  = −  %(% 00*<.0HI<0^*`W$Iq'(\o4^*3 00*<.0HI<0^*`'$Iq'(\o3 CdI0*<.0HI<#0G 5Iq'(\o3 %(%  , 0,  0, &  0, A π α α α −   = − =  ÷ +    %(    & T 6*  #46  ( ( α α   = − = − − =  ÷    CG  `  π α π   ∈  ÷   = 6* % α < 3r41J0i6HIF,$  6*  6* 0, ( #46 & α α α α = − ⇒ = = 3!<>540,1Df#  W A = − %( ;b0 ( )  z a bi a b= + ∈¡ `_!*1J `z a bi= − O!*QHs5!Q0!P# 0F4+1m;5*0,#Js ( ) ( ) ( ) ( ) ( ) ( )        W & %a bi i i a bi i a b a b i⇔ + − − = + − + ⇔ + − + − + − = 3 %(  %   W & %  a b a a b b + − = =   ⇔   − + − = =   3r41J     z = + = %(      % % %  6* #46 #46 6*  #46I x xdx xdx x xdx π π π = + = + ∫ ∫ ∫ %( b0     % % #46 ` 6*  #46I xdx I x xdx π π = = ∫ ∫ ,#J    % % #46 6* I xdx x π π = = = ∫ %( ( )         % % % % #46  6*  #46 6* #46  #46 #46 3   x I x xdx x xdx xd x π π π π = = = − = − = ∫ ∫ ∫ 3 CdI    (    I I I= + = + = %(% & 3,*mH_*Q ( ) T % Tx x x+ > ⇔ < − !4b# %x > 3 CK*1_0F=.!DE+0FG!1N#!40DE+1DE+>K*$ ( ) ( )    T 4+ T 3 % 4+ T % x x x x x +   + = ⇔ + =     %( ( )  T  - %x x x⇔ + = ⇔ = − ∨ = − 37*#!*<H>K*1_0,4^* -x = − 3 CdI.01N#!4#J+!*Q kHI!]0 %x = − 3 %( ;"*t5;*<#7$u!"#6*!X1P+#^!!,Hv3 ow7;*<#71@+_!8+$Y<.W!"#6*!+ZH!*=#J67!49 >A5Wx3 ow7#9#!\<.!"#6*!X1P+#^!!,H$4*!"#6*!X5 .!0y_<0!f.>K*&!"#6*!, 6HIF,#J(.!0y#J(x9#! 6p.\<.3CK* z*#9#!6p.\<.1J^*#Jx9#!!49>A!"#6*! X3CdI#J(x3x#9#!6p.\<.3 %(  Y9#6H]0#B,;*<#7t5 (xx    Wx W p A = = %( ( g9_O!#B,w5    R d I P= = %( 0 b0#Hw$ ( ) ( ) ( )    W & a &x y z− + − + − = %( 01D)+0!L+k1*{H,>5>HR++J#>K*$ W &  a  x t y t z t = +   = +   = −  %( *<.1*2 Wo0`&o0`a'00!HU# ( ) ( )  T -  W  &   a   %  ` `      t t t t M⇒ + + + − − + = ⇒ = − ⇒ %( a w  r t    g  i+*80!*<06HIF, w g qw tgr lw r 'w gt 'w g   q -  &&-   aaaa a =−−−  wtqtg30,a% % q a `C wg q   wt3w g q -   a %(% s,#Jg ⊥ t ⇒ g ⊥ wt>5g#p0wt0^* F4+wt$_h ⊥ w ⇒ 514^>HR++J##!H+#B,g>5 w3kgwq3 ,#J$tq (  a tq ( ( a q  ( % a >5wq W  a %( ∆ >5 ∆ wt1@+k^+ ⇒ SN IN SA IK = ⇒ -(   3 a SN INSA IK == 3 CdIC wg q -   a kgwq -(  a %( & W "*50FH+1*2 #B,14^tg3 ( ) $  % ` N x y N n n∈∆ − + = ⇒ + 3 , +*9#tg>HR+0^*#J50FH+1*2 #B,tg AN BN MN ⇒ = = 3 , +*9#tg>HR+0^*#J50FH+1*2 #B,tg AN BN KN ⇒ = = 3 wHIF,q ( )     a    ( ( n n n n n     ⇒ − + = + + − ⇔ =  ÷  ÷     3CdI`3 %(% "*5+*,4#B,g>53g#J.0\'Io(q%3#J.0\oI' Wq%3wHIF,  T ` ( ( I   −  ÷   350FH+1*2 #B,g3wHIF, ( ) ( ) %`( ` a` B C − 3 %(% - b0 ( ) ( )   ` %` %u x y v y u v x u v= + = ≥ ≥ = − 3 01H#B,!Q0F|0!5!$ ( ) ( ) ( ) ( ) ( )             %v u u v v u v u v u v− + − + = + − ⇔ − − + + = %( $Hq  x y x y⇒ + = ⇒ = − 3!<>54.00!P!,*#B,!Q0,1Df#$ ( )  &   &       &    %y y y y y y y y+ − + − = ⇔ − + − − = ( ) ( ) ( ) ( ) ( ) ( ) &   & &      & &     -  %    &    %     & y y y y y y y y y y y y y y y y y − − ⇔ − + = − + − +   + +   ⇔ − + = ⇔ =   − + − +     !*1J\q'3 %(% $>q3wHIF,Iq`\q3 $Ho>oq%$CR+!*Q 3 CdI!Q1N#!4#J!,*+!*Q $ ( ) ( ) ( ) ` `  `x y = − %( T ,#J ( ) W & & W &  3& W & & -a b ab a b a b a b a b a b+ + = + + ≤ + + + = + 0![4;10R6*3 wHIF, ( )     P a b t t f t a b t a b ≥ − + + = − + = + + 1b0  t a b = +  %(% ( ) n       %   % f t t t t t t = − − = ⇔ − − = ⇔ = 3 cd.;8+;*<0!*=#B, ( ) f t >K*0}%0,#J *q~q &  ( &  ( a a b a b b  =  + =   ⇔ ⇔   =   =   %(% Thạch Thành, ngày 3 tháng 4 năm 2015. Người ra đề và làm đáp án: Bùi Trí Tuấn ( . + ''''''''''''''''<0''''''''''''''''  %( SH U*kH+ *2 , Tp xỏc nh: Ă { } S bin thi n: l!*mH;*<0!*=$ ( ) ( n % y x x =- < " ạ - 3 %3( l5 67+!A#!;*<0F=#9#_!48+ (.  ( a a b a b b  =  + =   ⇔ ⇔   =   =   %(% Thạch Thành, ngày 3 tháng 4 năm 2015. Người ra đề và làm đáp án: Bùi Trí Tuấn (