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PUBND THANH PHO
TI{A
NGLIYEN
PHoNG
GrAo.pWJADAo
rAo
rci
rnr
cHeN
Hec
srNH
cror
Lop
e
Nim
<sub>\Oc20lt </sub>
-2018
MON:
TOAN
Thdi gian ldm bdi: 150 philt, kh6ng ke thdi gian giao
di
ON CHiIqH THITC
Bei
1 <sub>@,0 </sub>
di6m).
Nhd 6ng
An
dr)ng kh6a sO AC kh6a nhd nhrmg 6ng
An
qu6n m6t
mOt khAu gdm ndm chfr s6 d6 mcr kh6a. Ban hdy girip 6ng
An tim
ra mQt khAu
vdi
c6c di6u kiOn sau:
a. Chfi s6 thir ndm c6ng
cht
sd thri ba
bing
14;
b. Chir sO eau ti6n nh6 hcrn hai lAn
cht
st5
th,i hai
1 dcm
vi:
c. Chfi sd thri
tu
16n hon chfr sO tnfr
hai
1 dcm
vi;
d. Chfi s5 tnri hai c6ng
cht
s6 thir ba
bing
10;
e. TOng ndm chft sO
ta:0.
Biri
2 (2,0 di€m).
Vitlt
sO ti6p theo cria ddy s6
8179;6399;6237;2294;
?
Bii
3 (2,0 di€m).
cho *=1,1i*zJs
*G-2{r,Jn
.
Hdy
tinh
gi6 tri cria bi6u thuc A=
("'
<sub>- </sub>
x6 + t)2018
Bii
4
(j,0
di€m). Cho tam gi6c
ABC
vu6ng cAn c6
AB
:
AC
:2018cm.
G9 D vd E
ld
cilc di6m tr6n
AB
vd
AC
sao cho
AD:
CE.
Tim
giStrinh6
nhdt cria DE.
Bni
<sub>5 Q,0 di€m). </sub>Cho tam giSc d6u
ABC
c?nh bdng
a, geiO
lir trung di0m ctra BC.
DWng g6c
xOy:
600 sao cho Ox
cit
cpnh
AB
tai
M,
Oy
cht
cqnhAC tai
N.
Chrmg
minh:
a. Tam gi6c
MBO
d6ng dang
v6i
tam gi6c OCN.
b.
BC2
:4MB.NC.
c.
MO
ld phAn giitc cl ;a g6c
BMN.
d.
MN
ludn tii5p xric
v6i
mQt duong trdn cO Ainn
khi
g6c xOy quay quanh O vd Ox
.at
ae
tai
M; Oy
chtAC
tai N.
Bni
6
(,0
diAm).
6ttg Binh l5i
chi6c xe
m6i
cria 6ng di trong m6t s6 nguy6n
gid
v6i
t6c dO 55km/h. Lirc
Uit
eau di c6ng tcy m6t chi vdo s6 on, trong d6
abc
ld sO
,.-c6 3 chir sO
v6i
a>I;a+b+cs7.
KOt thric chuy6n di c6ng to m6t chi vdo s6 cba.
Hdy
tinh
gi6
tri
ctta a' + b2 + c2 .
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