TRƯỜNG THPT NGUYN ĐNG GV : PHM HNG TIN ĐỀ THAM KHẢO ÔN THI TỐT NGHIỆP THPT 2010 SỐ 3 MÔN TÓAN Thời gian làm bài: 150 phút Bài 1 + − x x !"#$% & '()$**+#$% , -.$/0123$452$./$6.2!7&#$%$83&!7&#$%*9$4:!$623 Bài 2; & 5236<2=>!7& 2 ;f x x= ?,.$ @ A F π = ÷ , B)!%2> C D> ; EEF!"!G!$4% Bài 3 (,H$/0123$452 − + − < x x 3 9.3 10 0 Bài 4 52!"/IJ!"IJ*6K23!L2$8J?I;&? SA ABC⊥ ?3"!3M&J*N$) ,O23A@ @ P2$$P!Q!"/IJ RSTUVJI I W2X2!$P2Y!!0123$452!6Z2 Bài 5 5/W2$G!*/W2(*$P2K62!7&/[! ( ) ( ) ; ; z i i= + − Bài 6; 423QK233&2>\?!N$/]23;>DE\D;@*&I ^_;^_ ? J_^@^ & -.$/0123$452/`a6&&I?J**6K233"!*9/ , 5$Y&bI ’ >[23*9Ia6&N$/]23 J W2X2!$P2Y!!0123$4522L23!& Bài 5 (c/0123$452 A ; ; A ; x y x y − = = Bài 6 ( 2đ)423QK233&2>\!C IF? ??J ?A?;?F?@?C?RC?@?A &[2320d23$]23IJ*R!e2&6P2XIJ?R ,-.$/0123$4520d23*6K233"!!6233M&;0d23$]23IJ*R ____________________________________________f___________________________________________________ ĐP N: ĐỀ SỐ 3 W2!623 JS L6& ; 5$> { } g D = −¡ @;F G,.2$<2 DP2h23 ; ; i @ y x = > + @;F D#23,.2$4<2&Q(23 ( ) ( ) ^ ^ ^−∞ − − +∞ *QK23!"!G!$4% @;F 53982*$c!j2 D k ^ k y y x x = −∞ = +∞ − + →− →− 64&/0123$452$c!j2[23>_ D k ^ k y y x x = = →−∞ →+∞ 64&/$$c!j223&23 @;F lj/,(23,.2$<2 −∞ − + ∞ m D D +∞ −∞ @F *+#$%*+h23$c!j2 *+!P2>)!a6&!)!>[23a6&3&&$c!j2 6 4 2 -2 -4 -5 5 10 @;F @;F L6, <60n!3&I@^_ @;F P20n!c3"!Qom@; @;F <6/0123$452$./$6.2!"X823om> @ >E> @ D @ @;F .*//0123$452?*.$h23;>_ @;F J; L6& -.$0n!=> !; ; x C − + @F . A x π = * ?$P20n! C C = @;F '.$k6j2 @;F ; L6, 5mC> D;>;>;> ; D @;F lpk6j20n!!"!G!$4%Qm@!"23c/L2,c$ @;F lpk6j2/0123$452;> ; D@!";23c/L2,c$Q)!@ @;F 50n!q@ @;F J rN$$ > ?Q$s@0&*t,/$$ ; E @$Duq@ @F (0n! q$qu @;F 64&Q.$a6(@q>q; @;F JC A B C S B)!%20n!3"!3M&J*N$) k3"! · @ A@SBA = @;F P2 ; ; AC AB a= = ^ I$&2A@ @ IJ Aa @;F <6 0n! !K23 $[! $P2 ; A ABC V S SA BA SA ∆ = = @;F P2h23Q.$a6(- A a @;F W24<23 I 0123$452!6Z2 JF P20n! ; Az i= − @F W2$G!& ; A ^W2(,_ @;F vK62 ; ; ;C Fz a b= + = + = @;F JA L6& L6, <6 0n! C^;^;AB = − uuur * *$/$ !7& ;^ ^ P n = − uur @;F Yk52!.6!7&Ik<2 -.$0n!!7&I ; ; x t y t z t = + = − + = − − @;F P20n! ( ) C^@^ w P n AB n= ∧ = − − r uuur uur @;F (c/0123$452 ; ; ; ; @ x t y t z t x y z = + = − + = − − + − + = 50n!$_ x; @;F @;F 50n!@^_Fx;^_ x; lp k6j2 0n! ` !" - k ( ) C^@^ w ^@^; Q n hay n= − − = r r * ` a6& I ^_;^_ @;F Im>[23*9Ia6&64& k$4623IIm50n!Im_ ^ _^@ @;F '.$k6j2h23/$/`>D;\D @ @;F J 0123$4522L23!& JF rN$6A > ?* ?Q6s@?*s@ @;F 50n!6A?*; @;F -.$0n!c ; ; ; ; ; ; ; ; ; @ u v u v u v v v = + − = ⇔ = + − = @;F 64&0n!> ^k3 ; @;F JA L6& xIJ*R!e2&6 r Dr$IJa6&IF^ ^*!"- C^F^ AB = − − uuur Dr$Ra6&F?@?C*!"- RC uuur _ ?@?; D ? R @?u?FAB C = uuur uuur ^ @? ? AC = − uuur ? R C @AB C AC ⇒ = − ≠ uuur uuur uuur ⇒ IJ*R!e2&6 DXIJ?R C ;@A @;F @?;F @?;F @?;F L6, -.$/$0d23*6K233"!!623 DY ∆ k0d23*6K233"!!623 D @?u?F R AB u C ∆ ∆ ⊥ ⇒ = ∆ ⊥ uur D/ α ![& ∆ *IJ2<22j2 ABv u ∆ uuur uur k!N/- ? C? @?wA VTPTmp u AB u ptmp α α α ∆ ⇒ = = − − ⇒ uur uuur uur >DFEC\Du@ D/ β ![& ∆ *R2<22j2 Ru v C ∆ uur uuur k!N/- R? w? ;F?u VTPTmp u C u ptmp β β β ∆ ⇒ = = − ⇒ uur uuur uur w>E;FDu\E ;A@ 'l/$0d23*6K233"!!623k >DF_C\ u @ w> ;F u\ ;A @y + = ∆ − + − = @?;F @?;F @?;F @?;F @?;F C . TRƯỜNG THPT NGUYN ĐNG GV : PHM HNG TIN ĐỀ THAM KHẢO ÔN THI TỐT NGHIỆP THPT 2010 SỐ 3 MÔN TÓAN Thời gian làm bài: 150 phút . ?A?;?F?@?C?RC?@?A &[2320d23$]23IJ*R!e2&6P2XIJ?R ,-.$/0123$4520d23*6K233"!!6233M&;0d23$]23IJ*R ____________________________________________f___________________________________________________ ĐP N: ĐỀ SỐ 3 W2!623 JS L6& ; 5$> { } g D = −¡ @;F G,.2$<2 DP2h23 ; ; i