/ "/''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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