Đề thi thử đại học môn Toán số 138

ĐỀỬĐẠỌĐẲĂ. Môn thi : TOÁN ( ĐỀ 138 ) Bài 1(2 điểm):   !"#$%&'(   #) )  *#) ) y x x= + −  +',,-$./ 0''1 0' 234 56$&7897:; #* Bài 2(3 điểm):  ;75</,+=      # #  > x y x y xy x y x y  + + =  + +   − − + + − =  # x y R ∈   75</,+=    *& $ $ *# & x x x x x+ = − #? x R ∈  @ +''$ 075</,+&8$2/;'$,/ A B CD        =    E  E   # *F/ #  D# BF/ D D   m x m m x − − + − + − = − Bài 3(1 điểm): GH;IJ$2&'/$J8K/$: LJJM&C$$$A @SA SB SC a= = = #&N *,$AIIJFOF56FP9 0'&$IMJM&*Q0Q$3($27 *JR&* Bài 4(2 điểm): QQ$7:=     *F# x x dx + ∫ ,/'S7T/A Uxy $ 0'#@C*VW775</,+ 5X/T/HY8&$Z $[8H5</$$,-$\& UxyGA]^&$H;Q$&'/$]^_P* Bài 5(1 điểm): ,/3K//&?;\& U`9a$ 5X/T/H =     C#    x t y t t R z t = +   = + ∈   = +   5X/T/H  F /&89$%&&'S7T/#]=`b9bM#^=`c9cabBM*\F/& 0' $%&HH  *d75</,+ 5X/T/H @ Y8&#C@C !/X$Z& 5X/T/H   H  FOF56AJ&$&'/$J$: L* Bài 6(1 điểm): x, y, z ≥     @x y z+ + = *G/'= @ @ @    @      x y z y z x + + ≥ + + + ************************************ Đáp Án ĐỀỬĐẠỌĐẲĂ. Môn thi : TOÁN ( ĐỀ 138) J=    0' UH8/ e0' f2'(=   #) )  *#) ) y x x= + − ⇔ 9M` D g`  c# fhe=iC F' C F' x x y y →−∞ →+∞ = +∞ = +∞ C @ j D D C j  C y x x y x x= − = ⇔ = = ± fJJ= *B fe\$ k/3/ C$$," *B fd k/ " *B   0' f\#&= Ox∈ '134 56$ #&7897:;* fe5X/T/H Y8&?;(/2$3$275</,+=9M3#`g& fHF$%&#3$L3;7&8$2/;'= D  @   #  #  D D x x k x a I x x k  − + = −  − =  *B f2   #  #    k I A x =  ⇔  − =  S$   D #  #  @ D  # x x k B x ax  − =   − + =   *B f1;#$L$&'U789H89PFH=9M*dW9 0134 56$@7 897?#$O %F;#J7$2/;'7#`C3?`3$  ± G$F 75</,+#7$2/'7`3$  ±  *B ^= @ @     a a− ≠ < − ≠ >hoÆc *B J= UH8/ e0'   0' f;   #  #  B # # l#  # m > x y x y x y  − + − = ⇔  − − − + − =  *eS   u x v y = −   = −  8 56$;   B #  > u v uv u v  + =  + =  *B f,& 56$= @ *  u v u v + =   =  Cf,& 56$=     u x v y = − =   = − =  S$     u x v y = − =   = − =  *B @  x y =  ⇒  =  S$  @ x y =   =  *B   0' fe= $ x ≠ *] @ @  $ $  *#$  x x x x x⇔ + = − *B # $ *$ *# $  x x x x x⇔ + − = *B  $ C $ x x x x⇔ + = − = *B  C &,$& C#   D  x k x l k l Z π π π ⇔ = − + = + ∈ *B @  0' f]  E  E  # *F/ #  # BF/ #   m x m x m ⇔ − − − − − + − =  feS [ ] E  B F/ #  CD C  t x x t   = − ∈ ⇒ ∈ −     *B 8 56$7=   B  #   t t m f t t t − + = = − + C    D D j#  C j#    #  t f t f t t t t − = = ⇔ = ± − + *B fVW7JJ$%&n#, A [ ] C− P9n#F-$J, A [ ] C−  o @C @ m   ∈ −     _&'p [* *B J@=   0' f: 5X/$&$%&GH;A1 LIF,8/ 0'$%&$A *B fQ 56$ @ * @D  S ABC a V = *B f 56$ * *  * q S MNC S ABC V V=  *B @ *J * o o @D * q r S ABC a V V⇒ = = *B JD=   0' fQ     *F# I x x dx = + ∫ feS    @  F#    @ x du dx u x x dv x dx v x  =   = +   + ⇒   =    =     D @       *F#  @ @  x I x x dx x ⇒ = + − + ∫ *B fQ   D        l  m ***   @ D x J dx x dx x x π = = − + = = − − + + ∫ ∫  *B fdW9  D *F  @ q > I π = + + *B   0' f1/&$2 # CC #C   *P a Q b a b> > fH$27=  x y a b + = * *B HY8&#@C @  @   * * @ab a b ab + = ⇒ ≥ ⇒ ≥ *sP8t/`9,&3$L 3 > @   a b a b =  = ⇒  =  *B f2  * * @  OPQ S a b ∆ = ≥ * OPQ S ∆ _P# @= 3$L3 >  a b =   =  *B fdW9H$27=  >  x y + = *B JB=   0' fH  $27=       C#  @  x t y t t R z t =   = − + ∈   = −  f+' 56$#CC *B @ &$2J#cCcCc#  Cgc  C@g   # 3=J3$3$   t t ⇒ ≠ ≠  f&'/$J$: L # l  m  # IB IC AB AC =    =   uuur uuuur ur * *B   ***  t t =  ⇔ ⇔  =  * *B f1 2$27H @ =  @ C#    x y t R z t =   = ∈   = +  *B Bài 6:   0' &$2=dc@M @ @ @       #  #  #     x y z y z x y z x + + + + + + + + *B @ @    >  #  D  D      x x y VT y y + ⇔ + = + + + +  @ @     #  D      y y z z z + + + + + +  @ @     #  D      z z x x x + + + + + + *B > > > @ @ @ > @ @ @ D  >  >  >  x y z VT + ≥ + + *B    > @ @ @ q #     r    VT x y z⇒ + ≥ + + = > @ q @ q @ @          VT VP⇒ ≥ − = − = = # 7$' #sP8t/`9,&3$L3`M9MaM *B D . ĐỀỬĐẠỌĐẲĂ. Môn thi : TOÁN ( ĐỀ 138 ) Bài 1(2 điểm):   !"#$%&'( . z y z x + + ≥ + + + ************************************ Đáp Án ĐỀỬĐẠỌĐẲĂ. Môn thi : TOÁN ( ĐỀ 138) J=    0' UH8/ e0' f2'(= 