ĐỀỬĐẠỌĐẲ Môn thi : TOÁN (ĐỀ 166) Bài 1(2 điểm): !"#$% & & ' ' ( ' ' y x x= + − & )$**+!,-.$$/.$01234!#567589 ( Bài 2(3 điểm): 953:-*); & & & & & < x y x y xy x y x y + + = + + − − + + − = x y R ∈ & 53:-*); & & (# ! !& ( & # x x x x x+ = − = x R ∈ > )$$!.53:-*)#6!0-9$!*-? @ AB & ; & & C & C& (D- & B @D- B B E & m x m m x − − + − + − = − Bài 3(1 điểm): FG9HI!0#$-!I6J-!8KIIL#A!!!? >SA SB SC a= = = #M E(*!?HHIDND34DO7.$P#!HPLIL#(Q.Q!1%!05 (IPR#( Bài 4(2 điểm): QQ!58; & & E (D x x dx + ∫ &*-$S5T-?Uxy !.$ >A(VW553:-*)3X-T-GY6#!Z ![6G3:-!!*+!\#UxyF?]^#!G9Q!#$-!]^_O( Bài 5(1 điểm): *-1J--#=9\#U`7a!3X-T-G ; & A & x t y t t R z t = + = + ∈ = + 3X-T-G & D -#67!"##$S5T- ];&`b7bLE ^;&`c7c&ab@LE(\D-#.$ !"#GG & (d53:-*)3X-T-G > Y6# &A>A-X!Z#3X-T-G G & DND34?I#!#$-!I!8K( Bài 6(1 điểm): x, y, z E≥ & & & >x y z+ + = (F-$; > > > & & & > & & x y z y z x + + ≥ + + + (((((((((((((((((((((((((((((((((((( Đáp Án ĐỀỬĐẠỌĐẲ Môn thi : TOÁN (ĐỀ 166) I; .$ UG6- e.$ f0$%; & & ' ' ( ' ' y x x= + − ⇔ 7L` B g&` & c fhe;iA D$ A D$ x x y y →−∞ →+∞ = +∞ = +∞ A > j B B A j E EA y x x y x x= − = ⇔ = = ± fII; E(&@ fe\!k-1-A!!* E(&@ fdk- E(&@ & .$ f\ #;E Ox∈ $/1234! #567589( fe3X-T-GY6#=9%-0!1!053:-*);7L1 `g# fGD!"# 1!K195#6!0-9$; B & > & B B x x k x a I x x k − + = − − = E(&@ f0 & E E k I A x = ⇔ − = S! & & B > B E x x k B x ax − = − + = E(&@ f/9 !K!#$U567G67ODG;7LE(dW7./1234!>5 675= !N"D9 I5!0&-9$5 `A1=`1! ± F!D 53:-*) 5!0&-$5`1! ± E(&@ ^; > > & & a a− ≠ < − ≠ >hoÆc E(&@ I&; UG6- e.$ .$ f9 & & @ l m < x y x y x y − + − = ⇔ − − − + − = (eS u x v y = − = − 634!9 & & @ < u v uv u v + = + = E(&@ f*#34!; > ( & u v u v + = = Af*#34!; & u x v y = − = = − = S! & u x v y = − = = − = E(@E > & x y = ⇒ = S! & > x y = = E(&@ & .$ fe; ! Ex ≠ (] > > ! ! & ( &! x x x x x⇔ + = − E(&@ ! (! ( & ! Ex x x x x⇔ + − = E(&@ ! EA& ! Ex x x x⇔ + = − = E(&@ A #*!# A B & x k x l k l Z π π π ⇔ = − + = + ∈ E(&@ > .$ f] & C & C & (D- & @D- & Em x m x m ⇔ − − − − − + − = feS [ ] C & @ D- & AB A & t x x t = − ∈ ⇒ ∈ − E(&@ 634!5; & & @ t t m f t t t − + = = − + A & & & B B j A j E t f t f t t t t − = = ⇔ = ± − + E(&@ fVW5II!"#n *? [ ] A− O7n D+!I*? [ ] A− o >A > m ∈ − _#$p[( E(@E & I>; .$ f83X-!#!"#FG9?/KHD*6-.$!"#!? E(&@ fQ34! > ( >B & S ABC a V = E(&@ fP34! ( ( & ( q S MNC S ABC V V= E(&@ > (IP ( o o >B ( q Er S ABC a V V⇒ = = E(&@ IB; .$ fQ & & E (D I x x dx = + ∫ feS & & & > & D > x du dx u x x dv x dx v x = = + + ⇒ = = B > & & E E & (D > > x I x x dx x ⇒ = + − + ∫ E(&@ fQ B & & & E E & l m ((( > B x J dx x dx x x π = = − + = = − − + + ∫ ∫ E(@E fdW7 B (D & > q < I π = + + E(&@ & .$ f/-#!0 AEA EA E E(P a Q b a b> > fG!05; x y a b + = ( E(&@ GY6# >A > > &( &( >ab a b ab + = ⇒ ≥ ⇒ ≥ (sO6t-`7*#1!K 1 < > & a b a b = = ⇒ = E(&@ f0 ( ( > & OPQ S a b ∆ = ≥ ( OPQ S ∆ _O >= 1!K1 < & a b = = E(&@ fdW7G!05; < & x y + = E(&@ I@; > .$ fG & !05; & A > & x t y t t R z t = = − + ∈ = − f)$34! AA E(&@ #!0I cAc&Ac& Agc& A>g& 1;I1!1! E t t ⇒ ≠ ≠ f#$-!I!8K l m E & IB IC AB AC = = uuur uuuur ur ( E(&@ ((( & t t = ⇔ ⇔ = ( E(&@ f/0!05G > ; & > A & x y t R z t = = ∈ = + E(&@ Bài 6: .$ #!0;dc>L > > > & & & & & & x y z y z x y z x + + + + + + + + E(&@ > > & & & < B & B & & & x x y VT y y + ⇔ + = + + + + > > & & & B & & & y y z z z + + + + + + > > & & & B & & & z z x x x + + + + + + E(&@ < < < > > > < > > > B & < & < & < & x y z VT + ≥ + + E(&@ & & & < > > > q & & & r & & & VT x y z⇒ + ≥ + + = < > q > q > > & & & & & & & & & VT VP⇒ ≥ − = − = = 5!$ sO6t-`7*#1!K1`L7LaL E(&@ B . x y z y z x + + ≥ + + + (((((((((((((((((((((((((((((((((((( Đáp Án ĐỀỬĐẠỌĐẲ Môn thi : TOÁN (ĐỀ 166) I; .$ UG6- e.$ f0$%; & & '. ĐỀỬĐẠỌĐẲ Môn thi : TOÁN (ĐỀ 166) Bài 1(2 điểm): !"#$% &