De thi Toan vao 10 Hai Phong 2015

<span class='text_page_counter'>(1)</span>\. ,: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. 1. Di€u kiQn xric dinh cria bi6u. A.. 1. x<-. B.. 2. 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 '. 3. He phuong trinh. A. G2;a). (x* v=2 i- ' 12* -. ! =10. c6 ngfoiQm. li. cflp sd. 4. 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 = 0 thi t6ng. x,'z. +. $. Aang. D.4 5. Tam gi6c MNP vu6ng t4i M c6 dudng cao MH. BiCt MH = 2; NH = 1 , 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. 6. Tam gi6c IJK vudng d. I c6 IJ -3a;IK = 4a (at 0), khi d6 ta c6 cosifu bing. I. K5. 5. 4. 4. e.L. C.. 3. 7. Cho (O;Scm). (l6c diiSm A, B e (o;5 cm) sao cho. t.)rkm). s. 1. a. 1. B. l0r (cm). c.. frE. lr@m). = llao.. siS do 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 4. Quay LIINP mQt vdng quanh c4nh MP dugc mQt hinh 8. Cho tam gi6c MNP vudng 0. n6n c6 th€ tich Vz.Khid6 ta co 2. A.'. 4. s. 1a J. tj' t(t. +v2. bing. s.. I. o. 1. 3. 5. Trang I.

<span class='text_page_counter'>(2)</span> II. Phin 2. TU lufln (8'0 cli6m) Biri tr: (1,5 tli6m). -. 1.. Rrit gon c6c bi6u thirc:. a) A= 01. r---. 1. t-. tlt -zJto + J20 +lJa 2. 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) 1. 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= 0 (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 = 3. 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$n t6c thgc cta ca nd bitit qudng song AB dni 54 km vd vfn t6c. li. 3 km/h.. Biri 3: (3,0 tli6m) Cho ducrng trdn duong cao BD. vi. (o) c6 itinh vd tam giitc ABC. CE. cit. nhau t4i H. vd chtdudrng trdn (O) lAn luqt. 1. Chung minh r6ng tu giric BEDC le. 2. Chrmg minh. c6 ba g6c nhgn nOi ti€p ducrng trdn (o), cdc. fii. &. D' vd E''. gi6c nQi titip vd DE // D'E'.. ring OA vu6ng g6c vdi DE.. 3. Cho c6c ditim B vd. c. co einn. Chring minh ring khi A di dOng tr€n cung l6n. Bc. sao cho tam. ct6i. giric ABC Id tam gi6c nhgn thi brin kinh dudng trdn ngo4i titip tam gi6c ADE k-h6ng. Bhi 4: (1,0 <li6m) Cho 3 sd a,b,c > 0, chring minh. ring. a3. bt +ct ct'+at > +b3*-2b, *-2* a+b+c. *t D6u ding thtc xdy ra khi ndo?. -----,,et-----. Hq vd t€n hqc sinh:..[\$ ..W...1tgn..... Hs vd ten gi6m tr,i r..$f).6'.6.'-....fu-.. \. Hg. vi. t6n gi6m thiz.... Trang2.

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