/ "/''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.

- --z o-ffi r^1. Di€u kiQn xric dinh cria bi6u thric P = -:----: lit

1A. x<-

2B. x*0 C. x<l .rra x+o

2

2. Hem sd nio sau ddy kh6ng ph6i ld hdm sti bac nh6t ?

A.y=2015-3x B.y=3Ji+1 C).y=-2*

' (x* v=23. He phuong trinh i - ' c6 ngfoiQm li cflp sd (x;y)

12* - ! =10

A. G2;a) B. (6;2) c. 6;-a) D. @;-2)4. NiSu x,,xrlircric nghiQm ctia phuong trinh x2 + x -1 = 0 thi t6ng x,'z + $ Aang

A. -l 8.3 c. -3 D.45. Tam gi6c MNP vu6ng t4i M c6 dudng cao MH. BiCt MH = 2; NH = 1 , x le d0 ddi canh MP, ta

c6A. x=4 B. r=G

c. x -2Ji D. x=3.6

6. Tam gi6c IJK vudng d I c6

I

P

IJ -3a;IK = 4a (at 0), khi d6 ta c6 cosifu

e.L3

l6c diiSm A, B e (o;5 cm) sao cho frE = llao. siS do d9 dai dn 7E (nhd) h7. Cho (O;Scm). (

t.)rkm)

,:r .rq" '.

Sd GIAO DUC VA EAo TA$\

T{JYEN SINH VAO LGP TO\TTPTHAI PHONG Nim hgc: 2014 - 201.5

ut csirvs rrrtlc pn rrn nnoN TOAN

D. x<l rra x+o2

x-7D.y=

bing

bing

s. 14

a. 15

4C.

K5

B. l0r (cm) c. lr@m)

n.lr@m)

8. Cho tam gi6c MNP vudng 0 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

n6n c6 th€ tich Vz.Khid6 ta co tj' t(t + bingv2

o. 15

s. 1aJ2

A.'4

s. I3

Trang I

- -

II. Phin 2. TU lufln (8'0 cli6m)

Biri tr: (1,5 tli6m)

1. Rrit gon c6c bi6u thirc:

r--- t- 1 -a) A= tlt -zJto + J20 +lJa

2

1101 o = ------- 1- ---------.13-'l2 rl3+,.12

2.L4p phucrng trinh ducrng thing b4c nhdt (d) bict (d) di qua c6c di6m A(-5;2005) vd 8(2;2019)

--< tr€n m[t Phing tqa dQ OxY'

B i'ir2z (2,5 tli6m)

1. Giai bAt phucmg trinh xz - (x- l)' > (x +3)2'- (x + 1)2 '

Z. Cho phuong trinh x2 -2(m- l)x + 2m - 4= 0 (1) (m ln tham sd). :

a) Giii Phuong trinh (1) lchi m =2 '

b) Tim gi6 tri nh6 nhAt cua P = t + xl vor x',,x,

3. Giai bdi to6n bing c6ch l{p phuong trinh:

li nghiQm cria Phuong trinh (l).,

MQt ca nd ch4y xudi ddng sdng tu A eltin g r6i l4i ch4y ngugc ddng tu B vA e h€t tht ca7

gid 30 phrit. Tinh v$n t6c thgc cta ca nd bitit qudng song AB dni 54 km vd vfn t6c ddng nu6c

li 3 km/h.

Biri 3: (3,0 tli6m)

Cho ducrng trdn (o) c6 itinh vd tam giitc ABC c6 ba g6c nhgn nOi ti€p ducrng trdn (o), cdc

duong cao BD vi CE cit nhau t4i H vd chtdudrng trdn (O) lAn luqt & D' vd E''

1. Chung minh r6ng tu giric BEDC le fii gi6c nQi titip vd DE // D'E'.

2. Chrmg minh 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

giric ABC Id tam gi6c nhgn thi brin kinh dudng trdn ngo4i titip tam gi6c ADE k-h6ng ct6i.

Bhi 4: (1,0 <li6m)

Cho 3 sd a,b,c > 0, chring minh ring

a3 +b3 bt +ct ct'+at > a+b+c*t *-2b, *-2*

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...

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