De Thi HK1 Toan 10 Bo Sung de 20142015
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TRUCYNG
MARIE CURIE
DE
rHr
Hgc rY
t
ruAm
Hgc 2011-2012
Mon thi:
TOAN 1OlP
-
Thcri
gian
ldm bdi
:90
ph0t
a. Giii
vd bien ludn
phucrng
trinh
theo
tham
so
m.
b.
Tim
m
d6
phugng
trinh
co 2
nghiGm
phdn
bi,?t
xr
;
xz thda
min
3x1
*
xz=
4.
c. Tim
m d6
phuong
trinh
co
2
nghiOm
x1
;
x2
thda
min
X1
->
->
-->
->
luon
cd
OA+
OB
+
OC
=
OM
+
ON
+
OP.
p.
--1
---r'
---+
->
b)
('hung
rnirrir
iling
vdi
moitlie"m
D
ta ltton co 3DC
=
DA
+
2 DB
-
CA
+
2fit'
n
c)
('iro
;\
=
60"
;
b
=
AC
=
,S
crn
;
c=
r\B
=
5
cn.t
'i'inir
cmh
;r
=
IIC
vir dic'n
tich
tam
giric
ABC
.
'
,
tl
Ciu,l
(
0..5
tliim
)
:
ltur
gon bi0u
riiirc
1
Vcri
O''-
nt
+
(3m
-
2).t
CAu3:
Cho
tam
gidc
ABC
voi
trong tam G.
AD,
BE,
CF
lI
c6c
duong
trung
tuy'en cila
tam
gi6c
ABC
a)
Chtnrg
minh:
BC.AD
+
CA.BE
+
AB.CF
=
0
ii
Ar**
minh
rAng
voi moi
diem
lvl
ta
co:
l,{A1
+
lr{82
+
lr{C1
=3MG'?
+
G'41
+ GBz
+
GC:
c)
Chrmg
minh:
sin
B
=
sin
I
cos
C
+
sin Ccos
I
d)
Tim
rap
hq'p
didm
N'l
thoi mdn
,
t Uata
+
L{B}
--
L1'MC
+
ltCl
Cdu4:
Cho
c6c
s0
duong
a, b,
c
thoi
ma.n
didu kiOn:
a
+
b
+
c
=
1
Chtnig
minh
ring:
(i
+
a)(l
+
b)(1+
c)
>
8(l
-
oxl
-
bXl
-
c)
TRU0NG
MARIE
cuRlE
nE
rul
Hqc
NV
t
t'tAlt
HQc
2005
-
2006
M6n
:
TOAN
10TN
Ciu
1
:
Chohlm
sd'.
Y
=-x2
+2x+3
Thdi
gian lAm
bii
';90
Ph0t
a)
Kh6o
sAt
vir
vE
dd
thi
(
P
)
cfra
ham
sd tr6n
'
b)
Viet
phrtdng
trinh
duongthSng
(
d
)tiepx6cv6i
(
P
)bidt
(d
)vu6ng
g6cv6i dudng
th&nq
(A
)c6
Phr-long
trlnh
:
Y
=1x*1
'2
c)
Bin
luSnthec
m
sdnghidm
phuongtrinh:
l-x'*
2x
+
3l=
m
cau
2
:
GiSi
va
bi6n
ludn
phrlong
trlnh,
h6
phLtong
trinh
sau
theo
tham
sd
m
'
^\
(4m+5)x-(m2+1)-*,
b)
{,(**4)x-(m+Zly=4
)
-x-z
'
lt(zt-1)x+(m-4)Y=P1
Ciu3:ChoAABC
-,
+
+
a)
Eidm
I
thu6c
canh
BC
sao
cho
218
=
3
IC
.
Hay
bidu
di6n
AI
theo
AB
va
AC
b)
Chtrng
minh
rdng
:
sinC
=
sinA
cosB
+
sinB
cosA
c)
Tinh
g6cAbidt
:
b
(
bt-
a')=
c(a'
-c')
Clu
4:
Tim
gia
tri
nh6
nhdt
cfra
bidu
thfic
I
A=#
J3x'*1
