ĐỀ và đáp án THI đại học khoi d 2008 2013

* ! "#$%& '() + ThS LU HUNH V N LONG (0986.616.225) (Gi ng viờn Tr ng H Th D u M t Bỡnh Dng) KH I D (TON VN ANH) NM H C: 2008-2013 ! " LU HNH N I B 11/2013 B GIO D C V O T O THI TUY N SINH CAO NG N M 2008 Mụn thi: TON, kh i A Th i gian lm bi: 180 phỳt, khụng k th i gian phỏt CHNH TH C PH N CHUNG CHO T T C TH SINH Cõu I (2 i m) x x 1 Kh o sỏt s bi n thiờn v v th Cho hm s y = Tỡm m Cõu II (2 i m) Gi i ph (C) c a hm s ó cho ng th ng d : y = x + m c t th (C) t i hai i m phõn bi t ng trỡnh sin 3x cos 3x = 2sin 2x Tỡm giỏ tr c a tham s m h ph x my = cú nghi m ( x; y ) th a ng trỡnh mx + y = xy < Cõu III (2 i m) Trong khụng gian v i h t a Oxyz, cho i m A (1; 1; 3) v ng th ng d cú ph ng trỡnh x y z = = 1 Vi t ph ng trỡnh m t ph ng (P) i qua A v vuụng gúc v i ng th ng d Tỡm t a i m M thu c ng th ng d cho tam giỏc MOA cõn t i nh O Cõu IV (2 i m) Tớnh di n tớch hỡnh ph ng gi i h n b i parabol ( P ) : y = x + 4x v ng th ng d : y = x Cho hai s th c x, y thay i v th a x + y = Tỡm giỏ tr l n nh t v giỏ tr nh ( ) nh t c a bi u th c P = x + y3 3xy PH N RIấNG Thớ sinh ch c lm cõu: V.a ho c V.b Cõu V.a Theo ch ng trỡnh KHễNG phõn ban (2 i m) Trong m t ph ng v i h to Oxy , tỡm i m A thu c tr c honh v i m B thu c tr c tung cho A v B i x ng v i qua ng th ng d : x 2y + = 18 Tỡm s h ng khụng ch a x khai tri n nh th c Niut n c a 2x + x Cõu V.b Theo ch Gi i ph ( x > 0) ng trỡnh phõn ban (2 i m) ng trỡnh log 22 ( x + 1) log x + + = Cho hỡnh chúp S.ABCD cú ỏy ABCD l hỡnh thang, BAD = ABC = 90o , AB = BC = a, AD = 2a, SA vuụng gúc v i ỏy v SA = 2a G i M, N l n l t l trung i m c a SA, SD Ch ng minh r ng BCNM l hỡnh ch nh t v tớnh th tớch c a kh i chúp S.BCNM theo a -H t Thớ sinh khụng c s d ng ti li u Cỏn b coi thi khụng gi i thớch gỡ thờm H v tờn thớ sinh: S bỏo danh: B GIO D C V O T O P N - THANG I M THI TUY N SINH CAO NG N M 2008 Mụn: TON, kh i A ( ỏp ỏn - Thang i m g m 04 trang) CHNH TH C Cõu I N i dung i m 2,00 Kh o sỏt s bi n thiờn v v th c a hm s (1,00 i m) Ta cú y = + x T p xỏc nh: D = \ {1} S bi n thiờn: y ' = < 0, x D (x 1) B ng bi n thiờn: x + y' 0,25 0,25 + y Hm s khụng cú c c i v c c ti u Ti m c n: Ti m c n ng x = 1, ti m c n ngang y = th : 0,25 y 0,25 O x Tỡm m d : y = x + m c t (C) t i hai i m phõn bi t (1,00 i m) Ph ng trỡnh honh giao i m c a d v (C) l x = x + m x mx + m = (1) (do x = khụng l nghi m) x ng th ng d c t th (C) t i hai i m phõn bi t v ch ph ng trỡnh (1) cú hai nghi m phõn bi t i u ki n l : = m 4m > m > ho c m < V y m > ho c m < II 1 Gi i ph Ph ng trỡnh l ng giỏc (1,00 i m) sin 3x cos 3x = sin 2x 2 sin 3x = sin 2x 0,50 0,50 2,00 ng trỡnh ó cho 1/4 0,50 3x = 2x + k2 x = + k2 , x = (k Z ) +k 15 3x = 2x + k2 V y nghi m c a ph ng trỡnh ó cho l: (k Z ) x = + k2 , x = +k 15 Tỡm m h ph ng trỡnh cú nghi m th a xy < (1,00 i m) T ph ng trỡnh th nh t c a h ta cú x = my + (1) Thay vo ph 3m m2 + trỡnh th hai ta cú: m ( my + 1) + y = y = 0,50 ng (2) 0,50 3m + Thay (2) vo (1) ta cú x = m +1 Xột i u ki n xy < : m > 3m + 1)( m ) ( xy < ho c m < III 2,00 Vi t ph ng trỡnh m t ph ng (P) (1,00 i m) Vect ch ph ng c a ng th ng d l u = (1; 1; ) Do (P) vuụng gúc v i d nờn (P) cú vect phỏp n l n P = (1; 1; ) Ph ng trỡnh m t ph ng (P) l: ( x 1) ( y 1) + ( z 3) = x y + 2z = 0,50 0,50 Tỡm t a i m M thu c d cho MOA cõn t i nh O (1,00 i m) +) M d M ( t; t; + 2t ) +) MOA cõn t i nh O OM = OA v M, O, A khụng th ng hng OM = OA t + t + ( 2t + 1) = 11 t = ho c t = 5 +) V i t = ta cú M (1; 1; 3) V i t = ta cú M ; ; 3 3 +) Th l i: c hai i m M tỡm c u th a i u ki n M, O, A khụng th ng hng V y cú hai i m M th a yờu c u bi toỏn l M1 (1; 1; 3) v 0,25 0,25 0,25 0,25 5 M2 ; ; 3 IV Tớnh di n tớch hỡnh ph ng (1,00 i m) Ph ng trỡnh honh giao i m c a hai ng ó cho l: x + 4x = x x = ho c x = Di n tớch c a hỡnh ph ng c n tỡm l: S= x + 4x x dx = x + 3x dx 2/4 2,00 0,25 0,25 Do x nờn x + 3x Suy 3 S= V y S= ( x3 x2 x + 3x dx = + = 2 ) 0,50 (vdt) Tỡm giỏ tr l n nh t v nh nh t c a P = ( x + y ) 3xy (1,00 i m) Ta cú: P = ( x + y ) ( x + y xy ) 3xy = ( x + y )( xy ) 3xy t x + y = t Do x + y = nờn xy = t2 Suy 0,25 t2 t2 = t t + 6t + P = 2t 2 Do ( x + y ) 4xy nờn t ( t ) t 0,25 Xột f ( t ) = t t + 6t + v i t [ 2; 2] Ta cú : f ' ( t ) = 3t 3t + t = [ 2; 2] f '( t ) = t = [ 2; 2] B ng bi n thiờn: t -2 f(t) + - 13 f(t) -7 V y max P = V.a 0,50 13 , P = Tỡm A Ox, B Oy (1,00 i m) +) A Ox, B Oy A ( a; ) , B ( 0; b ) , AB = ( a; b ) +) Vect ch ph 2,00 0,25 ng c a d l u = ( 2; 1) a b T a trung i m I c a AB l ; 2 +) A, B i x ng v i qua d v ch 2a + b = a = AB.u = a b = I d b + = V y A ( 2; ) , B ( 0; ) 3/4 0,25 0,50 Tỡm s h ng khụng ch a x khai tri n (1,00 i m) 18 S h ng t ng quỏt khai tri n Niut n c a 2x + l x k 18 k Tk +1 = C ( 2x ) = C18 218 k.x x 6k S h ng khụng ch a x ng v i k th a món: 18 = k = 15 V y s h ng c n tỡm l T16 = C15 18 = 6528 V.b 6k 18 k k 18 0,50 2,00 Gi i ph ng trỡnh logarit (1,00 i m) i u ki n x > Ph ng trỡnh ó cho t ng ng v i log 22 ( x + 1) 3log ( x + 1) + = t t = log ( x + 1) ta 0,50 0,25 c t 3t + = t = ho c t = 0,25 V i t = ta cú log ( x + 1) = x + = x = (th a i u ki n) V i t = ta cú log ( x + 1) = x + = x = (th a i u ki n) V y nghi m c a ph 0,50 ng trỡnh ó cho l: x = 1, x = Ch ng minh BCNM l hỡnh ch nh t v tớnh (1,00 i m) +) MN l ng trung bỡnh c a SAD MN // AD v MN = MN // BC v MN = BC BCNM l hỡnh bỡnh hnh (1) AD S M N A B 0,25 D C +) BC AB, BC SA BC ( SAB ) BC BM ( ) T (1) v (2) suy BCNM l hỡnh ch nh t 0,25 +) Ta cú: SBCNM = 2SBCM VS.BCNM = 2VS.BCM VS.BCM = VC.SBM 1 1 a3 = CB.SSBM = CB.SSAB = CB .SA.AB = 6 0,50 V y VS.BCNM = a (vtt) Nếu thí sinh làm không theo cách nêu đáp án mà đợc đủ điểm phần nh đáp án quy định H t 4/4 B GIO D C V O T O CHNH TH C THI TUY N SINH I H C, CAO NG N M 2008 Mụn thi: V N, kh i C Th i gian lm bi: 180 phỳt, khụng k th i gian phỏt Phần chung cho tất thí sinh Câu I (2 điểm) Anh/ chị giới thiệu ngắn gọn hai tập thơ Từ Việt Bắc Tố Hữu Câu II (5 điểm) Cùng bộc lộ nỗi nhớ Tây Bắc, Tây Tiến, Quang Dũng viết: Sông Mã xa Tây Tiến ơi! Nhớ rừng núi nhớ chơi vơi Sài Khao sơng lấp đoàn quân mỏi Mờng Lát hoa đêm (Văn học 12, Tập một, NXB Giáo dục, 2005, tr.76) Tiếng hát tàu, Chế Lan Viên viết: Nhớ sơng giăng, nhớ đèo mây phủ Nơi nao qua, lòng lại chẳng yêu thơng? Khi ta ở, nơi đất Khi ta đi, đất hoá tâm hồn! (Văn học 12, Tập một, NXB Giáo dục, 2005, tr.121) Cảm nhận anh/ chị hai đoạn thơ Phần riêng Thí sinh đợc làm câu: III.a III.b Câu III.a (3 điểm) Trong tác phẩm Chữ ngời tử tù, tác giả Nguyễn Tuân lại ví lòng nhân vật quản ngục nh âm trẻo chen vào đàn mà nhạc luật hỗn loạn xô bồ? Câu III.b (3 điểm) Trong tác phẩm Một ngời Hà Nội, tác giả Nguyễn Khải lại gọi nhân vật bà Hiền hạt bụi vàng Hà Nội? -H t Thớ sinh khụng c s d ng ti li u Cỏn b coi thi khụng gi i thớch gỡ thờm H v tờn thớ sinh: S bỏo danh: B Cõu I GIO D C V O T O P N - THANG I M THI TUY N SINH CAO NG N M 2008 CHNH TH C Mụn: V N, kh i C ( ỏp ỏn - Thang i m cú 03 trang) í II N i dung i m Hon c nh sỏng tỏc v nh ng n i dung chớnh c a t p th Nh t kớ tự 2,0 Hon c nh sỏng tỏc (1,0 i m) Thỏng Tỏm n m 1942, H Chớ Minh v i danh ngh a l i bi u Vi t Nam sang 1,0 Trung Qu c tranh th s vi n tr c a th gi i Ngy 29-8-1942, Ng i b chớnh quy n T ng Gi i Th ch b t t i Tỳc Vinh Trong th i gian m i ba thỏng b c m tự, b gi i i g n 30 nh lao c a 13 huy n thu c t nh Qu ng Tõy, Ng i ó vi t 133 bi th ch Hỏn cu n s tay v t tờn l Ng c trung nh t kớ (Nh t kớ tự) Nh ng n i dung chớnh (1,0 i m) T p nh t kớ ghi l i chõn th c b m t en t i c a ch nh tự c ng nh xó h i 0,5 Trung Qu c th i T ng Gi i Th ch: tự nhõn b e , hnh h ; b t giam ng i vụ c , b t giam c tr th ; quan l i thỡ ỏnh b c, n ti n, hỳt thu c phi n; nh tự l i chớnh l n i dung tỳng, ti p tay cho cỏi ỏc T p nh t kớ c ng ghi l i b c chõn dung tinh th n c a ng i tự H Chớ Minh: m t 0,5 tõm h n yờu n c, yờu thiờn nhiờn, m t t m lũng nhõn o v m t ý kiờn c ng, b t khu t, v t lờn m i th thỏch, hi m nguy C m nh n v hỡnh nh t n c qua o n th bi t n c Gi i thi u chung (0,5 i m) - Nguy n ỡnh Thi l m t ngh s a ti nh ng thnh cụng h n c l l nh v c thi ca ễng th ng vi t v quờ h ng, t n c Vi t Nam lam l au th ng nh ng th m ng, kiờn c ng - t n c l thi ph m tiờu bi u v xu t s c nh t s nghi p th c a Nguy n ỡnh Thi v c ng l m t s khụng nhi u nh ng bi th hay vi t v ti t n c Bi th c sỏng tỏc kho ng th i gian t 1948 n 1955 Hỡnh nh t n c c th hi n qua o n th (4 i m) a t n c m i m , y s c s ng c c m nh n qua tõm h n nh th ang trn ng p ni m vui: t n c v i hỡnh nh thu m i: khộp l i khụng gian H N i c a m t th i m t n c u bu n, m khụng gian t t i p chi n khu Vi t B c - t n c hi n lờn v i nh ng ng i v c nh v t m i m , s ng ng khỏc th ng: r ng tre ph p ph i, tr i thu thay ỏo m i, ng i núi c i thi t tha b t n c c l p, t ch , giu p: t n c v i nh ng hỡnh nh p , huy hong, y s c s ng: nh ng cỏnh ng, nh ng ng ng, nh ng dũng sụng - Kh ng nh quy n c l p t ch c a nhõn dõn v t n c: tr i xanh, nỳi r ng l c a chỳng ta - C m xỳc t ho v t n c giu p, trự phỳ: nh ng cỏnh ng th m mỏt, nh ng ng ng bỏt ngỏt, nh ng dũng sụng n ng phự sa c t n c c a m t dõn t c b t khu t: - M t t n c g n li n v i l ch s u tranh c a cha ụng: N c nh ng ng i ch a bao gi khu t - C m xỳc v l ch s t n c, tỏc gi nh nghe th y ti ng c a cha ụng ngy x a v n luụn vang v ng cu c s ng hụm 5,0 0,5 1,0 1,0 1,0 Cõu í N i dung d Ngh thu t: i p ng , i p k t c u cõu, l i li t kờ v i vi c s d ng ch n l c cỏc nh ng , vi c bi n i nh p i u trờn c s thay i di ng n c a t ng cõu th v cỏch gieo v n ó t o nờn m t o n th v a ho s ng, bay b ng, vui t i l i v a sõu l ng, thi t tha III.a III.b i m 1,0 K t lu n (0,5 i m) o n th ó th hi n m t hỡnh nh t n c g n g i v thiờng liờng, g i lờn tỡnh 0,5 yờu quờ h ng m i ng i c; ng th i c ng cho th y nh ng khỏm phỏ riờng c a Nguy n ỡnh Thi v ti t n c Phõn tớch giỏ tr nhõn o truy n ng n Hai a tr c a Th ch Lam Gi i thi u chung (0,5 i m) - Th ch Lam l cõy bỳt truy n ng n ti hoa, xu t s c tr c Cỏch m ng thỏng Tỏm 1945 - Hai a tr l m t nh ng truy n ng n c s c nh t c a Th ch Lam Tỏc ph m c in t p N ng v n C ng nh nhi u truy n ng n khỏc c a ụng, Hai a tr cú s an ci hai y u t hi n th c v lóng m n tr tỡnh Phõn tớch giỏ tr nhõn o (2,0 i m) a Tỡnh c m xút th ng c a Th ch Lam i v i nh ng ng i s ng ph huy n nghốo: - Xút xa tr c c nh i nghốo úi, t m t i, khụng t ng lai, khụng ỏnh sỏng c a m ch Tớ, gia ỡnh bỏc x m, bỏc Siờu - C m th ng cu c s ng n i u, qu n quanh, t nh t n i ph huy n b S phỏt hi n c a Th ch Lam v nh ng ph m ch t t t p c a ng i dõn nghốo ph huy n: - C n cự, ch u th ng ch u khú (ch Tớ ngy mũ cua b t c, t i n d n m t hng n c; hai ch em Liờn thay m trụng coi gian hng t p hoỏ ) - Giu lũng th ng yờu (Liờn c m th ng tr c c nh nh ng a tr nh nghốo nh t nh nh nh ng th cũn sút l i ch ) c S c m thụng trõn tr ng c a nh v n tr c nh ng c m c a ng i dõn nghốo v m t cu c s ng t t p h n: - Nh v n trõn tr ng nh ng m c, hoi ni m c a hai ch em Liờn v An: mong c th y ỏnh sỏng, nh v quỏ kh t i p, on tu nh em n cho hai ch em m t chỳt th gi i khỏc - Nh v n c ng cũn mu n lay ng, th c t nh nh ng ng i nghốo ph huy n, h ng h t i m t cu c s ng khỏc phong phỳ v cú ý ngh a h n K t lu n (0,5 i m) Hai a tr cú s an xen gi a hai y u t lóng m n v hi n th c Qua tỏc ph m ny, nh v n g i g m m t cỏch kớn ỏo, nh nhng nh ng khụng kộm ph n th m thớa t t ng nhõn o c a tỏc gi Nh n xột v ngh thu t xõy d ng nhõn v t Vi t truy n ng n Nh ng a gia ỡnh c a Nguy n Thi Gi i thi u chung (0,5 i m) 3,0 0,5 0,75 0,5 0,75 0,5 3,0 Cõu í N i dung i m Nguy n Thi l m t nh ng cõy bỳt v n xuụi hng u c a n n v n ngh gi i 0,5 phúng mi n Nam th i kỡ ch ng M , g n bú sõu n ng v i nhõn dõn mi n Nam v c m nh danh l nh v n c a ng i nụng dõn Nam b cu c khỏng chi n ch ng M Nh ng a gia ỡnh l m t nh ng truy n ng n xu t s c nh t, th hi n phong cỏch c ỏo c a Nguy n Thi: ngh thu t tr n thu t c s c, kh c ho tớnh cỏch v miờu t tõm lớ s c s o, ngụn ng m ch t Nam b Ngh thu t xõy d ng nhõn v t Vi t (2,0 i m) 1,0 a Ngh thu t tr n thu t c s c: - Nhõn v t Vi t l m t chi n s tr d ng c m Sau m t tr n ỏnh ỏc li t, Vi t b th ng n ng, l c n v , m t khụng nhỡn th y gỡ, r i vo tr ng thỏi lỳc ng t lỳc t nh - N m l i chi n tr ng, nh ng l n t nh l i, Vi t miờn man h i t ng (nh l i th i th u y k ni m, nh nh ng ng i thõn yờu gia ỡnh: mỏ, ch Chi n, chỳ N m ) - Cỏch tr n thu t theo dũng h i t ng ó em n cho tỏc ph m mu s c tr tỡnh m , t nhiờn, s ng ng; ng th i c ng t o i u ki n cho nh v n i sõu vo th gi i n i tõm c a nhõn v t d n d t cõu chuy n - Qua nh ng h i t ng t n i, th gi i tõm h n Vi t l n l t c kh c ho : yờu th ng gia ỡnh, c m thự t i ỏc c a gi c, khao khỏt c i ỏnh gi c b Ch n c nhi u chi ti t tiờu bi u, phong phỳ, lm rừ cỏ tớnh nhõn v t: 0,5 - M t s chi ti t tiờu bi u: Vi t hay tranh ginh ph n h n v i ch ; r t thớch i cõu cỏ, b n chim ( n i b i v n cũn em theo cỏi nỏ thun bờn mỡnh); c nh hai ch em khiờng bn th mỏ sang g i bờn nh chỳ N m l m t chi ti t c m ng - Qua nh ng chi ti t trờn, cỏ tớnh nhõn v t c kh c ho : m t c u trai m i l n h n nhiờn, vụ t , d m n c Ngụn ng c a nhõn v t: 0,5 - Cỏch núi, cỏch ngh c a Vi t n gi n, h n nhiờn (khỏc v i ch gỏi l Chi n cú cỏch núi, cỏch suy ngh chớn ch n gi d n tr c tu i) - Ngụn ng , gi ng i u c a nhõn v t Vi t ó c tỏc gi ch n lm gi ng tr n thu t c a tỏc ph m (cõu chuy n v Vi t c k l i theo cỏch nhỡn v gi ng i u c a chớnh nhõn v t - ki u l i tr n thu t n a tr c ti p) K t lu n (0,5 i m) Nhõn v t Vi t c nh v n Nguy n Thi kh c ho thnh cụng, gõy c n t ng 0,5 sõu s c i v i ng i c L u ý: Thớ sinh cú th s p x p bi lm theo cỏch khỏc, nh ng ph i m b o ki n th c v th hi n c n ng l c c m th , phõn tớch tỏc ph m v n ch ng -H t- Question 76: It can be inferred from the passage that the countries which are mainly responsible for global warming are A developed countries B the most industrialised countries C countries with the warmest climate D developing countries Question 77: The word There in paragraph refers to A regular summits on climate change B the 1997 summit in Kyoto, Japan C the worlds industrialised countries D the most industrialised countries Question 78: Which of the following is NOT true, according to the passage? A The so-called sinks created by forests can absorb greenhouse gases B Politicians are among those who are concerned about climate change C The problem of rapid climate change has been caused mainly by deforestation D Carbon dioxide is one of the gases that may cause the so-called greenhouse effect Question 79: The word drastic in paragraph is closest in meaning to A severe B hard C obvious D widespread Question 80: What is probably the writers attitude toward global warming? A Optimistic B Neutral C Positive D Pessimistic THE END Trang 7/7 - Mó thi 137 B GIO D C V O T O CHNH TH C P N THI TUY N SINH CAO NG N M 2012 Mụn: TI NG ANH; Kh i A1 v Kh i D1 ( ỏp ỏn cú 02 trang) CU 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 137 A C C B B C C A B C A D A B A B D D B A D D A C A D D D D A D B B A D D A A B D C A D D B 415 B A D B B B C D D A A B C A A A C B B C D D A A D B D A B D A D B A D C C B C D A B C B A M 532 D A C B B A A C D C A D B B D C D A D D D B C C D D C A B B C C B A D A D B B D C A D A D - P N 638 C B D D C A D C D A D D A D C B B B B A B C C D C B A C A B C D A D A B A B D C B B C A C 869 C A A B A A B B D D A C C D A B A D A A C D D A C C A A D B B B D D C B B B A C D D C D C 972 D B A C D A D D B A B A D D B C B A C A C D C D C B D C C D B A C C D C D A B B A C B B A CU 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 137 C C A C B C B D A D B C D C C C B B A D A B C C A A B C B C B B C A D 415 A A B B C B A B D D B C C D C D C D C C B A C D B D C C D C A A C A D M 532 B A D A B C C C C A B B A A A B B A D C C A D B A B C A B D C D C B C - P N 638 A B D C D C A B B D A A D C D A A D C D B A A B C A D C B B C C A B D 869 C D A B D D B B C C B B C A C B A A D A C A D B B D C A C C B D D B C 972 A C D B B B C B D A B D A A D A B C A A C A D C D B D C A A C D B B C D ơ 2013 : ; , 1, D m : 180 , (7,0 m) 2x + (2,0 m) m y = x1 ) (C) m ) M m (C) (C) M Ox Oy A B m OAB (1,0 m) cos x + sin 2x = xy 3y + = (x, y R) (1,0 m) 4x 10y + xy = (1,0 m) I= dx + 2x (1,0 m) ABC.AB C AB = a AB m 60 M N m AC BC a ABC.AB C MN (1,0 m) m m (x m) x m m (3,0 m): m m ( ) 7. (1,0 m) m Oxy, d : x + y = 0, : x y + = m M(1; 3) M, m d, m A B AB = 8. (1,0 m) Oxyz, m A(4; 1; 3) y+1 z3 x1 = = m m A d d: 1 9. (1,0 m) z m (3 + 2i)z + (2 i)2 = + i m w = (1 + z) z 7. (1,0 m) m Oxy, m ABC A(3; 2) 1 A m ABC m P (2; 0) m G ; 3 m m B C 8. (1,0 m) Oxyz, m A(1; 3; 2) m (P ) : 2x 5y + 4z 36 = I A m (P ) m m I m A 9. (1,0 m) z + (2 3i)z 3i = C m : ; : B P N THANG I M THI TUY N SINH CAO NG N M 2013 Mụn: TON; Kh i A, Kh i A1, Kh i B v Kh i D ( ỏp ỏn - thang i m g m 03 trang) GIO D C V O T O CHNH TH C Cõu (2,0 i m) ỏp ỏn i m a (1,0 i m) T p xỏc nh: D = \{1} S bi n thiờn: - Chi u bi n thiờn: y ' = 0,25 ; y ' < 0, x D ( x 1)2 Hm s ngh ch bi n trờn t ng kho ng ( ;1) v (1; + ) - Gi i h n v ti m c n: lim y = lim y = ; ti m c n ngang: y = x x+ 0,25 lim y = , lim y = + ; ti m c n ng: x = x1 x1+ - B ng bi n thiờn: x y' + 0,25 + y th : y 0,25 O x b (1,0 i m) M (m;5) (C ) = Ph 2m + m = Do ú M (2;5) m ng trỡnh ti p n d c a (C) t i M l: y = y '(2)( x 2) + 5, hay d : y = x + 11 d c t Ox t i A (113 ; 0), c t Oy t i B(0; 11) 1 11 121 Di n tớch tam giỏc OAB l S = OA.OB = 11 = 2 Trang 1/3 0,25 0,25 0,25 0,25 Cõu (1,0 i m) ỏp ỏn Ph ng trỡnh ó cho t ng i m ng v i sin x = sin x 0,25 sin x = sin( x ) 0,25 2x = x + k (k ) x = + x + k 0,25 x = k (k ) x = + k V y nghi m c a ph (1,0 i m) { 0,25 ng trỡnh ó cho l x = k , x = + k ( k ) xy y +1 = (1) x 10 y + xy = (2) y (3) c x= y Nh n xột: y = khụng th a (1) T (1) ta Thay vo (2) ta c y3 11 y +12 y = y = ho c y = ho c y = Thay vo (3) ta (1,0 i m) 0,25 0,25 c nghi m (x; y) c a h l (2;1), (52; 2) v (32 ; 23) t t = x Suy dx = tdt ; x = thỡ t =1, x = thỡ t = ( ) t dt = dt t +1 t +1 Khi ú I = = (t ln | t +1|) 0,25 0,25 0,25 0,25 0,25 = ln (1,0 i m) 0,25 A AA ' ( ABC ) A ' BA l gúc gi a A' B v i ỏy A ' BA = 60o C N AA ' = AB.tan A ' BA = a B Do ú VABC A' B 'C ' = AA '.SABC = C M A Suy MNK vuụng t i K, cú MK = B Do ú MN = MK + NK = i u ki n: x 3a3 AB a = , NK = AA ' = a 2 a 13 0,25 0,25 t t = x 1, suy t t3 t + t +1 (t 1)(2t + 5t + 5) t3 t + Xột f (t ) = , v i t Ta cú f '(t ) = ; f '(t ) = t = t +1 (t +1)2 B ng bi n thiờn: + t B t ph 0,25 G i K l trung i m c a c nh BC K (1,0 i m) 0,25 ng trỡnh ó cho tr thnh m f '(t ) 0,25 + + f (t ) 0,25 0,25 D a vo b ng bi n thiờn ta c b t ph ng trỡnh ó cho cú nghi m v ch m Trang 2/3 0,25 Cõu ỏp ỏn G i (C) l ng trũn c n vi t ph Do I d , suy I (t ;3 t ) 7.a (1,0 i m) M 8.a (1,0 i m) 9.a (1,0 i m) 7.b (1,0 i m) IH = d ( I ; ) = B H ng trỡnh v I l tõm c a (C) G i H l trung i m c a AB, suy AH = I A i m AB v = 2 | 2t 1| Do ú IA = IH + AH = 2t 2t + T IM = IA ta Do ú I (1;2) c 2t + 2t +1 = 2t 2t + 5, suy t = Bỏn kớnh c a (C) l R = IM = Ph ng trỡnh c a (C) l ( x 1)2 + ( y 2)2 = G i (P) l m t ph ng qua A v vuụng gúc v i d Ph ng trỡnh c a (P) l x y + z 12 = G i H l giao i m c a d v (P) Suy H (1 + 2t ; t ; + t ) Do H ( P) nờn 2(1 + 2t ) (1 t ) + (3 + t ) 12 = Suy t = Do ú H (3; 2;4) G i A ' l i m i x ng c a A qua d, suy H l trung i m c a o n AA ' Do ú A '(2; 3;5) (3 + 2i ) z + (2 i )2 = + i (3 + 2i ) z = + 5i z = + i Suy w = (2 + i )(1 i ) = i V y w cú ph n th c b ng v ph n o b ng G i M l trung i m c a c nh BC Suy AM = AG Do ú M 2; 2 A ng th ng BC i qua M v vuụng gúc v i AP, nờn cú ph ng trỡnh x y = Tam giỏc ABC vuụng t i A nờn B v C thu c ng trũn tõm M, G P 5 B C bỏn kớnh MA = T a cỏc i m B v C l nghi m c a h M x y = 125 + + = x y ( 2) x = 7, y = x = 3, y = V y B(7;2), C (3; 3) ho c B(3; 3), C (7;2) Do IA ( P ) nờn I (1+ 2t ;3 5t ;2 + 4t ) Do I ( P ) nờn 2(1 + 2t ) 5(3 5t ) + 4(2 + 4t ) 36 = 0, suy t = Do ú I (1; 2;6) ( ) 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 ( ) 8.b (1,0 i m) Ta cú IA = Ph ng trỡnh m t c u tõm I v i qua i m A l ( x 1)2 + ( y + 2)2 + ( z 6)2 = 45 9.b (1,0 i m) Ph ng trỡnh z + (2 3i ) z 3i = cú bi t th c = Suy = i Nghi m c a ph ho c z = + i ng trỡnh ó cho l z = + 2i - H t - Trang 3/3 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 0,25 B GIO D C V O T O THI TUY N SINH CAO NG N M 2013 Mụn: TI NG ANH; Kh i A1 v Kh i D1 Th i gian lm bi: 90 phỳt, khụng k th i gian phỏt THI CHNH TH C ( thi cú trang) Mó thi 296 H , tờn thớ sinh: S bỏo danh: THI G M 80 CU (T QUESTION N QUESTION 80) Mark the letter A, B, C, or D on your answ er sheet to indicate the w ord that differs from the other three in the position of the primary stress in each of the follow ing questions Question 1: A Question 2: A Question 3: A Question 4: A Question 5: A independence physical alive answer poverty B B B B B experiment musical ancient reduce pottery C C C C C individual possible central product decision D D D D D reputation domestic vacant offer astronaut Mark the letter A, B, C, or D on your answ er sheet to indicate the correct answ er in each of the follow ing questions Question 6: It was not until he took up fishing he began to know more about fish species A what B while C which D that Question 7: Give me another chance, ? A shall you B will you C don't you D arent you Question 8: We haven't decided which hotel A to stay B to stay at C is for staying D is to stay at Question 9: of that book has been missing A The chapter two B A second chapter C Chapter two D A chapter two Question 10: The problem is believed at the meeting two days ago A being discussed B to have been discussed C to have discussed D having been discussed Question 11: from outer space, our earth looks like a blue planet A Having seen B Seeing C Be seen D Seen Question 12: Woman: Excuse me, wheres Nguyen Hue Street, please? Man: A I think youre right B Yes, thats correct C Over there, I think D OK, so long Question 13: If it had not rained last night, the roads in the city so slippery now A would not be B must not be C could not have been D would not have been Question 14: my business trip to Hanoi last month, I was able to attend his wedding A Because B According to C Thanks to D But for Question 15: You brought your umbrella We are going by taxi A need not B would not have C need not have D may not Question 16: Sue: These flowers are so beautiful! Thank you very much, Bill. Bill: A Thats right B Good job! C Dont worry! D Dont mention it Question 17: The museum director was when talking to the visitors A neither professional or friendly B both professional or friendly C either friendly nor professional D both friendly and professional Question 18: This small town developed I had expected A not fast as B much faster than C slowly than D as much fast as Trang 1/6 - Mó thi 296 Question 19: By using their trunks, elephants can tell the shape of an object and is rough or smooth, or hot or cold A it B whether it C since it D how Question 20: He went back to the town he was born A where B what C which D that Question 21: The student took that course he could improve his English A though B in order to C unless D so that Question 22: What did you last summer? A during B for C by D at Question 23: I applied for the job but was A taken away B got over C turned down D turned off Question 24: Twenty thousand years ago, a sheet of ice a thousand meters covered part of Canada A thicken B thick C thickly D thickness Question 25: There was no news about the lost boy, we went on hoping A but B consequently C furthermore D moreover Question 26: I was about to leave when something occurred which attracted my A thought B surprise C attention D sympathy Question 27: Mrs Blacks son in hospital ever since he fell off his bicycle last week A was B is C was being D has been Question 28: He became famous after that prize A won B winning C win D have won Question 29: The price of houses dramatically in recent years A has risen B was raising C rose D raises Question 30: Not only you I am mistaken on this point A but as well B but also C but D and Read the follow ing passage and mark the letter A, B, C, or D on your answ er sheet to choose the w ord or phrase that best fits each of the numbered blanks from 31 to 40 In most of the earliest books for children, illustrations were an afterthought But in the Caldecott "toy books" which first (31) in 1878, they were almost (32) important as the lines of text, and occupied far more space in the book One can almost read the story from the dramatic action in the pictures (33) then, thousands of successful picture books have been published in the United States and around the world In the best, the words and illustrations seem to complement each other perfectly Often a single person is responsible (34) both writing and illustrating the book One of (35) , and certainly one of the most successful, illustrator-authors was Dr Seuss, (36) real name was Theodor Geisel His first children's book, And to Think That I Saw It on Mulberry Street, hit the market in 1937, and the world of children's literature was changed forever Seuss's playful drawings were a perfect complement to his engaging stories and (37) characters In 1957, Seuss's The Cat in the Hat (38) the first book in Random House's best-selling series, Beginner Books, written by Seuss and several (39) authors These combine outrageous illustrations of people, creatures, and plants, and playful stories written (40) very simple language From The Complete Guide to the TOEFL Tests by Bruce Rogers Question 31: A Question 32: A Question 33: A Question 34: A Question 35: A Question 36: A Question 37: A Question 38: A Question 39: A Question 40: A emerged most By with the greater whose forgetting became each other at B B B B B B B B B B happened as Till at the greatness whos forgotten would become one another about C C C C C C C C C C appeared less Since to the great who unforgettable had become other in D D D D D D D D D D showed more Before for the greatest whom forgetful has become another from Trang 2/6 - Mó thi 296 Mark the letter A, B, C, or D on your answ er sheet to indicate the w ord( s) CLOSEST in meaning to the underlined w ord( s) in each of the follow ing questions Question 41: It will be fine tomorrow But if it should rain tomorrow, the match will be postponed A turned off B put off C sold off D taken off Question 42: Living in the central Australian desert has its problems, of which obtaining water is not the least A getting B storing C purifying D controlling Question 43: If the headmaster were here, he would sign your papers immediately A formerly B right away C right ahead D currently Question 44: After a few rounds of talks, both sides regarded the territory dispute as settled A discussion B discomfort C disapproval D disadvantage Question 45: Thirty minutes after the accident, the captain still refused to abandon the burning ship A leave B come to C sail D get on Read the follow ing passage and mark the letter A, B, C, or D on your answ er sheet to indicate the correct answ er to each of the questions from 46 to 55 American movies create myths about college life in the United States These stories are entertaining, but they are not true You have to look beyond Hollywood movies to understand what college is really like Thanks to the movies, many people believe that college students party and socialize more than they study Movies almost never show students working hard in class or in the library Instead, movies show them eating, talking, hanging out, or dancing to loud music at wild parties While it is true that American students have the freedom to participate in activities, they also have academic responsibilities In order to succeed, they have to attend classes and study hard Another movie myth is that athletics is the only important extracurricular activity In fact, there is a wide variety of nonacademic activities on campus such as special clubs, service organizations, art, and theater programs This variety allows students to choose what interests them Even more important, after graduation, students rộsumộs look better to employers if they list a few extracurricular activities Most students in the movies can easily afford higher education If only this were true! While it is true that some American college students are wealthy, most are from families with moderate incomes Up to 80% of them get some type of financial aid Students from middle and lower-income families often work part-time throughout their college years There is one thing that many college students have in common, but it is not something you will see in the movies They have parents who think higher education is a priority, a necessary and important part of their children's lives Movies about college life usually have characters that are extreme in some way: super athletic, super intelligent, super wealthy, super glamorous, etc Movies use these stereotypes, along with other myths of romance and adventure because audiences like going to movies that include these elements Of course, real college students are not like movie characters at all So the next time you want a taste of the college experience, not go to the movies Look at some college websites or brochures instead Take a walk around your local college campus Visit a few classes True, you may not be able to see the same people or exciting action you will see in the movies, but you can be sure that there are plenty of academic adventures going on all around you! From Read and Reflect by Jayme Adelson-Goldstein with Lori Howard Question 46: Which of the following is true according to the passage? A American colleges in the movies are not like those in reality B Movies about college life are similar to life and fun to watch C American students not like to watch Hollywood movies D You should see college movies to understand college life Question 47: The phrase academic responsibilities in the second paragraph is closest in meaning to A learning duties B training skills C caring professions D teaching methods Question 48: Which of the following is NOT true? A Learning is only part of students college life B There is a wide choice of extracurricular activities for college students C Extracurricular activities are of no importance to employers D Not all extracurricular activities are students academic responsibilities Question 49: The word they in the third paragraph refers to A employers B activities C students D rộsumộs Trang 3/6 - Mó thi 296 Question 50: The word moderate in the fourth paragraph is closest in meaning to A not high B unlimited C not steady D sensible Question 51: Which of the following is NOT mentioned in the passage? A It is important for students to get higher education B All college students have to work part-time C Most students in the movies can afford college expenses D Most college students families are not well-off Question 52: The word t aste in the sixth paragraph is closest in meaning to A kind B example C record D myth Question 53: American parents believe in A the extracurricular activities that help ensure their childrens jobs B the necessity of higher education in their children's lives C how movie-makers describe American college life D the quality of their children's college lives Question 54: Many American students have to work part-time throughout their college years because A they are not allowed to work full-time B they want to gain experience C their parents force them to D they can earn money for their expenses Question 55: Which of the following could best serve as the title of the passage? A Going to College: The Only Way to Succeed in Life B Hollywood Movies: The Best About College Life C Extracurricular Activities and Job Opportunities D American College Life and the Movies Mark the letter A, B, C, or D on your answ er sheet to indicate the underlined part that needs correction in each of the follow ing questions Question 56: The staff worked throughout the night to meeting the clients deadline A B C D Question 57: Which is busiest city in Vietnam? asked Tom A B C D Question 58: I remember that I danced not goods the first time I did the tango A B C D Question 59: The wooden fence surrounded the factory is beginning to fall down because of the rain A B C D Question 60: While models of automobiles date back as far as the late 1600's, the 1880's seen the first A commercial interest in the vehicle B C D Read the follow ing passage and mark the letter A, B, C, or D on your answ er sheet to indicate the correct answ er to each of the questions from 61 to 70 Human Nutrition is the study of how food affects the health and survival of the human body Human beings require food to grow, reproduce, and maintain good health Without food, our bodies could not stay warm, build or repair tissue, or maintain the heartbeat Eating the right foods can help us avoid certain diseases or recover faster when illness occurs These and other important functions are fueled by chemical substances in our food called nutrients Nutrients are classified as carbohydrates, proteins, fats, vitamins, minerals, and water When we eat a meal, nutrients are released from food through digestion Digestion begins in the mouth by the action of chewing and the chemical activity of saliva, a watery fluid that contains enzymes, certain proteins that help break down food Further digestion occurs as food travels through the stomach and the small intestine, where digestive enzymes and acids liquefy food and muscle contractions push it along the digestive tract Nutrients are absorbed from the inside of the small intestine into the bloodstream and carried to the sites in the body where they are needed At these sites, several chemical reactions occur, which ensures the growth and function of body tissues The parts of foods that are not absorbed continue to move down the intestinal tract and are eliminated from the body as feces Trang 4/6 - Mó thi 296 Once digested, carbohydrates, proteins, and fats provide the body with the energy it needs to maintain its many functions Scientists measure this energy in kilocalories, the amount of energy needed to raise one kilogram of water one degree Celsius In nutrition discussions, scientists use the term calorie instead of kilocalorie as the standard unit of measure in nutrition Nutrients are classified as essential or nonessential Nonessential nutrients are manufactured in the body and not need to be obtained from food Examples include cholesterol, a fatlike substance present in all animal cells Essential nutrients must be obtained from food sources, because the body either does not produce them or produces them in amounts too small to maintain growth and health Essential nutrients include water, carbohydrates, proteins, fats, vitamins, and minerals An individual needs varying amounts of each essential nutrient, depending upon such factors as gender and age Specific health conditions, such as pregnancy, breast-feeding, illness, or drug use, make unusual demands on the body and increase its need for nutrients Dietary guidelines, w hich take many of these factors into account, provide general guidance in meeting daily nutritional needs From Human Nutrition by Worthington-Roberts, Bonnie, Microsoftđ Student 2009 Question 61: The first paragraph mainly discusses A chemical substances in our food B the study of human nutrition C a variety of essential nutrients to human beings D the importance of food to human beings Question 62: The word released in the second paragraph mostly means A refused B renewed C expressed D produced Question 63: Which of the followings is NOT true about the process of digestion? A Nutrients are carried to different sites in the body B Saliva plays an important role in the first stage of digestion C The small intestine covers the whole digestive system D The small intestine helps the body absorb nutrients Question 64: The word maintain in the third paragraph is closest in meaning to A obtain B keep performing C carry on making D provide Question 65: According to the passage, nutrients are absorbed A in the small intestine B in the mouth C in the stomach D over the whole body Question 66: According to the passage, which of the following provides energy for the body? A Proteins, vitamins, and carbohydrates B Proteins, fats, and minerals C Carbohydrates, proteins, and fats D Carbohydrates, minerals, and water Question 67: In nutrition discussions, the standard unit used to measure nutrients is A kilocalorie B gram C kilogram D calorie Question 68: The word w hich in the last paragraph refers to A dietary guidelines B unusual demands C general guidance D nutritional needs Question 69: Which of the following is NOT mentioned in the passage? A The effects of food on the body B The bodys need of nutrients C Food sources from animals D Classification of nutrients Question 70: Through the passage, the author provides the readers with A some proposal B orders C instructions D some information Mark the letter A, B, C, or D on your answ er sheet to indicate the sentence that is closest in meaning to the sentence given in each of the follow ing questions Question 71: Sure, Ill lend you my car this afternoon, Richard said to me A Richard asked me to lend him my car B Richard refused to lend me his car C Richard suggested lending me his car D Richard agreed to lend me his car Question 72: If I had worked harder, I would have passed the exam A As I did not work hard enough, I did not pass the exam B I failed the exam, so I will have to work harder C I passed the exam because I worked harder than others D Although I worked very hard, I did not pass the exam Trang 5/6 - Mó thi 296 Question 73: You must wear the seat belt when driving! she said to him A She told him to wear the seat belt when he drove B She confirmed that he wore the seat belt when driving C She complained that he wore the seat belt as he drove D She encouraged him to wear the seat belt when driving Question 74: I used to have Peter mow the lawn on Saturday mornings A Peter often mowed the lawn for me on Saturday mornings B I was familiar with mowing the lawn with Peter every Saturday morning C Peter often helps me mow the lawn on Saturday mornings D I am used to having the lawn mown by Peter every Saturday morning Question 75: The gardens are open each day for visitors to enjoy the flower displays A In order to enjoy the flowers each day, visitors open their own displays B There are too many flower displays for visitors to enjoy each day C As long as visitors enjoy the flower displays, the gardens are still open each day D The gardens are open each day so that visitors can enjoy the flower displays Question 76: If I were you, I would take this chance for further study, he said to her A He instructed her to take this chance for further study B He ordered her to take that chance for further study C He advised her to take that chance to study further D He reminded her to take this chance to study further Mark the letter A, B, C, or D on your answ er sheet to indicate the sentence that best joins each of the follow ing pairs of sentences in each of the follow ing questions Question 77: She is a famous author She is also an influential political commentator A She likes writing famous books and commenting on politics B She is neither a famous author nor a political commentator C She writes famous books, but she does not know much about politics D She is not only a famous author but also an influential political commentator Question 78: He works in the same office with two women They are very beautiful and tactful A The two womens beauty and tact explain why he wants to work at their office B He works in the same office with two women who are very beautiful and tactful C The offices where he and the two very beautiful and tactful women work are the same D Working in the same office with the two beautiful women makes him very tactful Question 79: I had to my homework I could not help my mother with the washing-up A Because I was busy doing my homework, I could not help my mother with the washing-up B It was impossible for me to my homework although my mother helped me with the washing-up C I could not help my mother with the washing-up until I finished my homework D I could not my homework because I had to help my mother with the washing-up Question 80: The football match was so exciting The spectators at the stadium cheered wildly all through it A Despite the exciting football match, not all the spectators at the stadium cheered wildly all through it B The spectators at the stadium cheered wildly to make the match exciting all through it C When the spectators at the stadium cheered wildly, the football match became exciting all through it D The football match was so exciting that the spectators at the stadium cheered wildly all through it THE END Trang 6/6 - Mó thi 296 B GIO D C V O T O P N THI TUY N SINH CAO NG N M 2013 Mụn thi: TI NG ANH; Kh i A1,D1 ( ỏp ỏn cú 02 trang) THI CHNH TH C Cõu 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 296 394 B D A B C D B B C B D C A C C D D B B A D A C B A C D B A B C B C D D A C A C C B A B D C A C C D A D B C B D B C D C A C C B B B A D A B C A D A D C A B B C D C A C B Mó - ỏp ỏn 528 647 A B B C D C A C A B A D A D D A C C C D D D C A A D A B A D C C A B C B B A C B A D C B A B D A A C C C A D B A B D D B C D D D C C A D A C B A A B D C D C C C D B A A 752 913 D B D A D C A A C A A C D B D C B C B A A A D A A B A C C B C B D D A C D C D B D D C C B C B A D C C B A D B D D A D C B B C D B A B B A B A A D D B D A B D B C C C C Cõu 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 296 394 B A A A A C D A B B B D D C B C B C D D C B A C D A C D D A A A D C D B A D A D D A D A B A B D B A D C C B B C D D D A A D C C A A B B A D B C B C D A Mó - ỏp ỏn 528 647 C A B C D A B D C D B B D D D B A B B C C C B B B A A D B C C D A D A B C D B B B D D C B B A A B D A D B C D D A D A A A D D A C B C C C B C A C B B B 752 913 A C B B A B C A D A D A B B D B A D D C A B C C C A D B C B B C C C D B B D A B C D A A A D A A D D A C A B D C A A D A D C C C B B C D B D C B C A B D ... sinh làm không theo cách nêu đáp án mà đợc đủ điểm phần nh đáp án quy định H t 4/4 B GIO D C V O T O CHNH TH C THI TUY N SINH I H C, CAO NG N M 2008 Mụn thi: V N, kh i C Th i gian... T O CHNH TH C ( thi cú 06 trang) THI TUY N SINH CAO NG N M 2008 Mụn thi: TI NG ANH, kh i D Th i gian lm bi: 90 phỳt Mó thi 293 H , tờn thớ sinh: S bỏo danh: THI G M 80 CU (T... C ( thi cú 06 trang) THI TUY N SINH CAO NG N M 2009 Mụn: TI NG ANH; Kh i: D Th i gian lm bi: 90 phỳt, khụng k th i gian phỏt Mó thi 165 H , tờn thớ sinh: S bỏo danh: THI G