hướng dẫn giải đề tự luyện thi thử đại học số 02 môn toán

Tài liệu tham khảo và tuyển tập đề thi thử đại học, cao đẳng giúp các bạn ôn thi tốt và đạt kết quả cao trong kỳ thi tốt nghiệp trung học phổ thông và tuyển sinh cao đẳng, đại học . Chúc các bạn thi tốt!

  !"#$%&   !'(%%)*+)*+'&      ,&-%./       " # #  #  = − + − − +   $   !"#"$%%&'"( )*  $ +"%"*,-"' ."*"*,/# 012!34' ."*+"/#2 01  56"(78   " # # = −   9' %%&    :  ;  " # #  = − + −      : <  ;   <    <  " # #  #  # #  #  = ⇔ − + − = = −  ⇔ − + − = ⇔  = +   =+"7"*,%6"0" ∈ ℝ  >"*+"/8  ?   %   − − >"*"*,/8  ?    &   + − −   ."*"*,/#01!34' ."*+"#28                             @       A  < '& '%           ⇔ = ⇔ + + − − = − + −   ⇔ + + − − = − + −   ⇔ − + =       =   ⇔  =  BC ,&-%./ D""EFG)8 ( )     H  I    " I # #  # # π +   + − + =       01 >"J,'"K8 " < 7 # # ( ( ) π ≠ ⇔ ≠ ∈  ( )     H  I    " I # #  # # π +   + − + =           "   I     " " I #  # #  # # # π π +   ⇔ + − − + =           "   I"    " "  # # # # # # # + ⇔ + − + =   !"#$%&'() *+, -./0-12+"34,56 23 441'*%56   !"#$%&   !'(%%)*+)*+'& )         "   I"  " " "   I"   " < # # # # # # # # # # # # ⇔ + + − + = ⇔ + − + − =         "   I"   "  " < "   I"   I" <  I" "   <  I" < "   # # # # # # # # # # # # # # # ⇔ + − + − − = ⇔ + − + − = ⇔ − + + =  − = ⇔  + +   LMEFG)8     I" <     <      #  # #  #+ − = ⇔ − − = ⇔ = − ⇔ = −      # ( ( ) # ( π π π π  = +  ⇔ ∈   = − +   BC"J,'"K   "   <  "  " I I  # # # # π π     + + + = ⇔ + = − ⇔ + = −               # ( ( ) # ( π π π π  = − +  ⇔ ∈  = +   #NE"J,'"K  7  # ( ( ) π π ⇒ = − + ∈  5OPEFG)C 0"K8 7 7  7    # ( # ( # ( ( ) π π π π π π = + = − + = − + ∈  D""EFG)8  I ;   H <  # # # # #− + − − + − = ∈ ℝ   01 >"J,'"K8 I ; #≤ ≤  ( ) ( )   I ;   H I  ;    A < # # # # # # # #− + − = − + ⇔ − − + − − − + − =  ( )( ) ( ) ( )( ) ( )  I  I  ;  ;    A < I  ;  # # # # # # # # − − − + − − − + ⇔ + − − + = − + − +  A A  A  < I  ;     A   < I  ;  A     < I  ;  # # # # # # # # # # # # # # − − ⇔ + − − − = − + − +   ⇔ − − − − =   − + − +   =   ⇔  − − − =  − + − +         <    I  ;  I  ;  # # # # # # − − − = ⇔ − = − − + − + − + − +    !"#$%&   !'(%%)*+)*+'& 7           8     I  ;  I # # # − < ≤ − + − + − + % [ ]   A7 I?;# #− ≥ ∀ ∈ $EFG)%Q"K 5OPEFG)C"KR,PS A# =    ,'-%./ TTEU8 ( )  I        # * # # +# # − = + − ∫   01 ( )   I                 # # # # * # # +# +# # # # # − + − + = + − = ∫ ∫  >V          # #  # + +# +# # # # # + −   = = + ⇒ = − =      >W"O8   A   #  #  = → =    = → =    8 A   *  += ∫  >V    + +    + +    =  =   ⇒   =   =    A    A        *  +   ⇒ = −     ∫   A A A  A A @        X  I X  ;   = − − = − −  8,'-%./ )EY" ,%&$- P)ZO%6",%%,Q%6" P7. 0U" ,%$7VE[%&./\,$+"07\,-+"T*T/'"R"K 0%&$-!"#,%1%&1%NE!]"F-[%%23%&$-/!3 < <   01 ^23,%$/'_%.\,$+"07 23,&-/'_&.\,-+" ^5).0U" %&$$R`   ,. ,' = ,P.a0U" ,&- .,P044FN,"*/ ,$4,- ^b`8        , %&- , &$- , %&$-    = = =  9QYc*T8            I , %& , %& , %&-  ,% ,& ,    ,% ,& ,- = = = ⇒ =    !"#$%&   !'(%%)*+)*+'& 9               I X , &0 , %& , &$-  ,& ,0 ,    ,& ,$ ,- = = = ⇒ =  .,P8      X , %&0 , %& , &0    = + =  ^8       ,% + %&$-= ?9""#  ,% %&$-⊥ $NE!]"%%6"23%&$-/T   %- 7+","*/,$$" %-U+"7,P   < < %- -%= =  d,P8 <   < ,% %- = =  d,P8               ,% + %&$-    = = =  d,P8*T4)8     A A   X X I 0%&$- , %&$- , %&0       = − = − = =  8,'-%./  7 7# " 5  RFG)" BS/!"*,Y8              I  I  I   # " 5 6 # " # 5 5 # " 5 #   = + + + + + + + +       01 56" 7 7# " 5 e<8    I   + ≥ +# " # " bS,f(fgP # "⇔ =  FG8    I   + ≥ +" 5 " 5 bS,f(fgP⇔P(h       I   + ≥ +5 # 5 #  bS,f(fgP 5 #⇔ =  ⇒           I  I  I    ;+ + + + + ≥ + + ≥# " " 5 5 # # " 5 #"5  +"     ;    + + ≥     # " 5 " 5 # #"5 bS,f(fgP⇔ # " 5= =  5OP    ;    ≥ + ≥       6 #"5 #"5 bS,f(fgP ⇔  =   = =  #"5 # " 5 ⇔ # " 5= = ( 5OP"i('" # " 5= = (  537:-;<+=>?-2=@=A:BC@DE<<FGGH/2I=J-K=L2K=L2M=/N@4 M=O/@=BP2IGHQ2==R2+ 8J,&-%./ "F-j8         8 7   8  ; A$ # " $ # "+ = − + = >"*k?"/  %   5"#EFG)F-[l,k\  %  +""*m7nkm(kn  01 D0"m?!5)m,1      8 $ # "+ = n$8    7+ =  5)k,"*mn,PnI?;!n,1  $8        ;  A I  A  7  7  7+ + − = ⇔ + + − = −    !"#$%&   !'(%%)*+)*+'& S  #%8Io!(X  H  H 7  7⇔ − = − ⇔ = −  #%8      H  < I ; <   ; H A A 7 7 7 7 7  7  − + = ⇔ − + = = → =   ⇔  = → = −   ?   H ; H I ? 7 ? A A A A 0 8 + % 0  ≡   ⇒      −            5OPEFG)F-[ $ l,k?%%9GpEFG AI X ? A A 0             H < AI X # " # " − − = ⇔ − + =  'Q"%6"K01 '#"5 7"F-[8       I 8 7 8       # " 5 # " 5 + + + − + − = = = = − ? VE[   8 I  A <6 # " 5+ − + = 5"#EFG)T\/F-[ $ %,Q%6"V E[i-"\"F-[   ?+ +   01 ,P*   ?+ + %JR+FN8    8   ? 8   I  #  # ( + "  + " ( 5  5 ( = = +     = − + = − −     = = +    D0"""*/ $ %6"   ?+ + 4FN8k7q 8  ?   ? ?  ?   ?I    ?   ?I  %    & ( ( ( %& (  (  ( − + + − − + ⇒ = + − − − + −   mVE[i%9GE E,P# ?I?  6  = −  b   r r 6 6 2 6 %&  %& $ ⊥ ⇒ ⇔ =       <   I  ??7 ? ?I I    (   ( (    % & (    + − = =     ⇒ − − = ⇔ = − ⇒ −     + − = − =    >F-[ $ "l,"*k??%O ?I?  6  = −  %9GpEFG$ $ EFG )8     I  # " 5− − − = = −  8J,'-%./ )EYh!"#8 ( ) ( )     5 5  5+ + − = −   01 D0"  ? 5  7  7= + ∈ ℝ  ( )              5 5  5  7  7   7⇒ + − = − ⇔ − + + + − = − +                  7  7  7   7 7  7  + = +  ⇔ + − = + − + ⇔  = +      !"#$%&   !'(%%)*+)*+'& T       < <  <      7     7   7 7  = + =   + =  ⇔ ⇔ ⇔    = + = + = +    V  <  <  7  = −     =    "EY8     ?  < < 5  5 = = − +  4=O/@=BP2IGHQ2=2I@J/ 8U,&-%./ F-[R8   <# "+ + = %9"Es8    I  # " + = 5"#EFG)F-[ $ %,Q %6"R%\s+""*k7qR"KT" k2q!3  01  + $ ⊥ ⇒ $ EFG)8  <# " − + =  01k7q"K/K8      <  X I I <   I  # "  # "  # " " "  − + =  = −   ⇔   − + − = + =     R\s+""*k7q'"%p'"K"KEU!"K   I < X X t ⇔ − > ⇔ − < <  D0"      ? 7  ? % "  " & "  "− − P  ?P  "K/      I 7   X   " " " " − ⇒ + = =            AX  A  A   I I  %& " " " " " " −   ⇒ = − = + − =     AX    %& − ⇒ =  >F-  ?  A  ' + '= $ =  d,P8    X     I  I %'&   , %& '  $ − = = = ⇔ =  ⇔ = ±  5OPEFG)F-[ $ 8 8   < 8   < # " # " $ − + =   $ − − =   )  'Q " %6" K u 0 1 '#"5  V 4, ,  EFG )8     I ;  <# " 5 # " 5+ + − + − − = %6"VE[ α EFG)#^"o5^H(<5"# EFG)VE[ β %6" α %\,9",P#F-j,%"!3;π  01 bβrrα$βEFG)8   <  H# " 5 - -+ − + = ≠  mV4,dUv??7! 'Tw(A >F-j,%";π$! 'T(  .v6"   β (     A  I9 − = − =    !"#$%&   !'(%%)*+)*+'&   b8    H     I A  H     - - - - = − + − − +  = ⇔ − + = ⇔  = + + −   5OP   β EFG)8   H <# " 5+ − − =   8U  ,'-%./ 8D""!SEFG)8   ;  A  A   # # # #+ − − − − + <   01 qSEFG)CFGFG%6"8   ;  A    A    # # # # # # + − − + − ≥ −    + <    >V     < # #   + − − = >    I A I < I I   ⇒ + − < ⇔ − < <  #NE%6""J,'"K7FN8  < I < <      I # #+ − − ⇒ <      # # # # ≥ −   ⇔ ⇔ >  + < +      -./0-12+"14.HL2=BP2I IV2+ /@<J-02  +"