Đề_HD Toán TN Phan Châu Trinh

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Đề_HD Toán TN Phan Châu Trinh

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TRƯỜNG THPT PHAN CHÂU TRINH   !"#$%&#'() *+$,-&#'() *.("/    y x x = + − 0&12$*)  "3"45#6#78.89&12$*) :#6;<=>?#6;@68A#&12$*)B##C&#'(DC&128A#>EF *+$,-&#'() # #;<=>?G F F F HI ,H HJ − + = !!;+G  "#    "#  x I dx x π = − ∫ ,. ?(K-DC.("/"C J ,y x x = + + >7 [ ] JL − − *+$-&#'() *M/#0;NO*0&3@O*P.C(#38QB#O-BORC-O*RCN 8Q08A#(S;T$O*)8.NR a U# V 8.O V PP<W>&#'(DC N8.NOS;T$* V O V )#C?0;.C#M/#&CX#Y!'!DC C#M/#&CX#Y&0 Z[\$,&#'() !"#U<=>?.?]&<WP.(;X.>#7<=>?&0 ^<=>?_G *+:C$-&#'() >MQ#CF@`(S;T$ α )GFa@a`bR8.&<cT $X)G  ,    x y z− − = = − ?(#C&#'(DC$X)8.$ α ) :#6;<=>?(S+($bLLd)8.#6;Fe ( ) α *+:C$-&#'()G # #;<=>?"C>7f;"/;gGF  aHFhIR ^<=>?+C *+:5V$&#'() >MQ#CF@`-(S;T$)GFh@h`hR8.&<cT $i)G    J   − + = − = − zyx  C):#6;<=>?&<cT$i j )P.?#68Q0DC$i)>7(;$) 5)!M 3k&#'($LL)&6&<cT$i) *+:5V$&#'() # #;<=>?G`  b$h#)`h$%hJ#)R  [lm*no[ lpiq*r *no s *+ $,&#'() $-&#'() C)t ( ) u D R= 5)"45#6#7 v*#w5#6#7G V  , $ ) y x = − − v*#w5#6#7 @ V MQF3&2B#FRL@ V PQ+(8A#(U# x ≠ .("/PQ25#6>73M  ( ) ( ) L . Lhv−∞ ∞ v*4>2 .("/MQ04>2 v#Y(f     P#( P#(  x x x y x − − → → + = = −∞ − ,     P#( P#(  x x x y x + + → → + = = +∞ − 7 FRbP.#Y(f&g   P#( P#(   x x x y x →−∞ →−∞ + = = −   P#( P#(   x x x y x →+∞ →+∞ + = = − 7@RP.#Y(fC vO 5#6#7G v12G 12xFB#&#'(  L    −  ÷   8. x@B#&#'($Lb) 12f#C&#'(C#&#'(DCC#&<c#Y(fP.( +(&/#Fg :9&12 : -d -d -d -d -d -d -d x −∞ 1 +∞ y ′ − − y 2 −∞ +∞ 2 $&#'() vUC&y#C&#'(DC&12$*)8A#>EFP.$  L)  − v@ V $  )  − R J , − v<=>?0XBG@aR J , − $F   + ) v<=>?#6;@6B#P.@R J  , , x− − -d -d -d -d -d *+ $,-&#'() $-&#'() v*#CC#86;<=>?J F GH  ,  x    ÷   b, ,  x    ÷   hHR vSR ,  x    ÷   #wM#Yz&<W;<=>?5fC# H  a,hHR vC##Y( ,   = SR  , $C##Y({C(|&#w M#Y) v#Y(DC;<=>?$)GP.FRbC@FR -d -d -d -d $-&#'() SRb"#  F X "# FXF⇒ = − }#fG F   LF    π = ⇒ = = ⇒ =       X X  P    = − = = ∫ ∫ R P  P P  − = -d -d -d -d ,$&#'() V  J by x = V   J y x= ⇒ − = x⇒ = $PB#)8.FRb $ J) L $ ) L $ ) f f f− = − − = − − = − -d -d -d :f@ [ ] [ ] bJLb JL  CF@ L M Miny − − = − = − -d *+ $&#'() B / A / S C B A *?89 * ,         , ,  , S ABC ABC V S SA AB BC a= = = * V V V V           J S A B C S ABC V SA SB SC V SA SB SC = = = "@>C V V ,   SA B C a V = N@>C'!M/#&CX#YO* V O V P. ,  J a -d -d -d -d *+:C $-&#'() $&#'() <=>?C("/DC$X)   ,  x t y t z t = +   = −   = +  - t R∈ t~;<=>?G$h)b$b)a$,h)bR  ⇒ R  , UC&y#C&#'(#•C&<cT8.(S;TP. %  , $ L L ) , , , M − -d -d -d -d $&#'() vO3M!DC(S[R ( ) X L$€) v•;XEQgM 3! $ )  d  [ H − − − − = v I H R = v<=>?(SP. ( ) ( ) ( )    %   d  x y z+ + − + − = -d -d -d -d *+:C $-&#'() v!&<W V ∆ = − v V  i∆ = <=>?0C##Y( -d -d ,  dx i= + ,  dx i= − -d -d *+:5 $&#'() $&#'() v$i j )R$)∩$‚) $$‚)P.(S;TgC$i)8.⊥$)) v$‚)ƒC$LJLb)8.0(y:G $ ) $ ) $ ) - $,L ,L ,) Q D P n u n   = = − −   r r r  v$‚)GFb@a`hR v$i j )G   , , x y t z t = −   = +   = −  $ R∈ ) -d -d -d -d $&#'() +<cT$i)ƒC&#'($LJLb)8.0:*G $LL ) D u = − r hC0G $ L ,L,)AM = − − uuuur 8. „ L … $,L L ) D u AM = − − r uuuur ( )      †„ L …† -$ ) † † , $ ) $ )   $ ) J  , H D D u AM d M D u = + − + − = + + − = = r uuuur r -d -d -d -d *+:5 $-&#'() C0G ∆ jRb,db#C?(3‡5fC#Fh@#DC ∆ jG $Fh@#)  Rb,db#   ,d   x y xy − = −  ⇔  = −   i&0C# #&<W‡5fC#P.Gb$bH#)-bH# 7;<=>?0C##Y(G`  R,bJ#8.`  Rh# -d -d -d . TRƯỜNG THPT PHAN CHÂU TRINH   !"#$%&#'() *+$,-&#'() *.("/ 

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