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Tric nghiQm 2,0 tli6m Hdy chgn chi mQt chib cdi ttlrng trw6c cdu trd ldi effing... Di€u kiQn xric dinh cria bi6u..[r]
(1)\ ,:r rq" ' Sd GIAO DUC VA EAo TA$ HAI PHONG T{JYEN SINH VAO LGP TO\TTPT Nim hgc: 2014 - 201.5 pn rrn nnoN TOAN ut csirvs rrrtlc / "/' 'Th&i gian ldm.bdi: 120 philt (kh6ng kO thdi gian giao dA) Chil y: D€ thi g6m 02 trang Hgc sinh ldm bdi vdo td gidy thi ' I PirAn l Tric nghiQm (2,0 tli6m) Hdy chgn chi mQt chib cdi ttlrng trw6c cdu trd ldi effing - zthric Po-ffi r^ = -: : lit Di€u kiQn xric dinh cria bi6u A x<- B 2 Hem sd nio x*0 C x<l2 .rra x+o D x<l2 rra x+o sau ddy kh6ng ph6i ld hdm sti bac nh6t ? A.y=2015-3x B.y=3Ji+1 ' He phuong trinh A G2;a) (x* v=2 i- ' 12* - ! =10 c6 ngfoiQm li cflp sd NiSu x,,xrlircric nghiQm ctia phuong trinh x2 + x x-7 (x;y) bing c 6;-a) B (6;2) A -l D.y= C).y=-2* D @;-2) -1 = thi t6ng x,'z + $ Aang D.4 Tam gi6c MNP vu6ng t4i M c6 dudng cao MH BiCt MH = 2; NH = , x le d0 ddi canh MP, ta 8.3 c -3 c6 r=G A x=4 B c x D x=3.6 -2Ji P Tam gi6c IJK vudng d I c6 IJ -3a;IK = 4a (at 0), d6 ta c6 cosifu bing I K5 4 e.L C Cho (O;Scm) (l6c diiSm A, B e (o;5 cm) cho t.)rkm) s a B l0r (cm) c frE lr@m) = llao siS d9 dai dn 7E (nhd) h n.lr@m) M c6 MN - Scm,klP =3em Quay MINP mQt vdng quanh c4nh MN dugc mQt hinh n6n c6 th6 tich Quay LIINP mQt vdng quanh c4nh MP dugc mQt hinh Cho tam gi6c MNP vudng n6n c6 th€ tich Vz.Khid6 ta co A.' s 1a J tj' t(t +v2 bing s I o Trang I (2) II Phin TU lufln (8'0 cli6m) Biri tr: (1,5 tli6m) - Rrit gon c6c bi6u thirc: a) A= 01 r - t- tlt -zJto + J20 +lJa 11 1- .13-'l2 rl3+,.12 o = - vd 8(2;2019) 2.L4p phucrng trinh ducrng thing b4c nhdt (d) bict (d) di qua c6c di6m A(-5;2005) < tr€n m[t Phing tqa dQ OxY' B i'ir2z (2,5 tli6m) Giai bAt phucmg Z Cho phuong a) trinh xz - (x- l)' > (x +3)2'- (x + 1)2 ' trinh x2 -2(m- l)x + 2m - 4= (1) (m ln tham Giii Phuong trinh (1) lchi m : =2 ' t + xl vor x',,x, li nghiQm cria Phuong trinh (l) b) Tim gi6 tri nh6 nhAt cua P = Giai bdi to6n sd) , bing c6ch l{p phuong trinh: MQt ca nd ch4y xudi ddng sdng tu A eltin g r6i l4i ch4y ngugc ddng tu B vA e h€t tht ca7 ddng nu6c gid 30 phrit Tinh v$n t6c thgc cta ca nd bitit qudng song AB dni 54 km vd vfn t6c li km/h Biri 3: (3,0 tli6m) Cho ducrng trdn duong cao BD vi (o) c6 itinh vd tam giitc ABC CE cit t4i H vd chtdudrng trdn (O) lAn luqt Chung minh r6ng tu giric BEDC le Chrmg minh c6 ba g6c nhgn nOi ti€p ducrng trdn (o), cdc fii & D' vd E'' gi6c nQi titip vd DE // D'E' ring OA vu6ng g6c vdi DE Cho c6c ditim B vd c co einn Chring minh ring A di dOng tr€n cung l6n Bc cho tam ct6i giric ABC Id tam gi6c nhgn thi brin kinh dudng trdn ngo4i titip tam gi6c ADE k-h6ng Bhi 4: (1,0 <li6m) Cho sd a,b,c > 0, chring minh ring a3 bt +ct ct'+at > +b3*-2b, *-2* a+b+c *t D6u ding thtc xdy ndo? -,,et - Hq vd t€n hqc sinh: [\$ W 1tgn Hs vd ten gi6m tr,i r $f).6'.6.'- fu- \ Hg vi t6n gi6m thiz Trang2 (3)