Đề thi HSG Casio huyện 2013-2014

PH6NGGD&BT
HUYfN
TRAN
VAN
TH<ft
KY
Tffl
CHQN
HQC
SINH
L0P
9
THCS
GlAl
TOAN
BANG
MAY
TfNH
CASIO
NAM
HQC
2013-2014
Diem
bai thi
Bang
so
B3ng
chfr
H9 tan
gi£m
khao

1.
2.
Phach
Ch&
$:
1. Thi
sink
ghi
day
du
cdc muc
orphan
tr&n
theo
huong
ddn
cua
gidm
thj
2. Thi
sink
lam bai
tnfc
tiip
vao
ban
d&
thi
cophdch
dinh

k&m
nay.
3.
Bai thi
khdng
dupe
viit
bang
muc do, but
chl;
khdng
dupe
lam hai mau
imfc.
Phdn
viet
hong,
ngoai
cdch
dung
thu&c
gach
cheo,
khdng
dupe
toy
x6a
bang
bat cu
cdch

gl
k£
ca but
xda.
Bail:
Tinh
gain
(lung
gid tri cua cac
bieu
thurc
sau:
-cos2
55°.sin3
70°
-
10cot250°.cot65
2°3°
^
^
1+2V2-V3-V9
V}
"~
cos3
48
Dap
so:
A
»
:

B
«
Bai
2;
Tim
tit
ca cac s6
co
dang
34^5^
chia
h^t
cho 36.
T6m
tfit
each
giai
°.cot370°
Dap
so
Bai3;
a)
Tinh
gid
tri
bilu
thiic:
M =
2,,2
A~2—2

4x
t
2xyz
v6.
x
=
0^2
.
y
=
^23
.
z
=
2^23
-4y
z
-xyz
Dap
so:
~
:
M=
(5,2x-42,ll
+
7,43).l-
b)
Tim
x,
biet:

2.
=
1321
(2,22
+
3,1)^-41,33
Dap
so:
X
"~"
.».*•
**
.«.*

.4
»* *»•*.««*.
•
*•
».»*
Bai4;
Cho
biet
da
thiic
Q(x)
=
x4
-
2x3
-

60x2
+ mx
-186
chia
het cho x + 3. Hay
tfnh
gia tri cua m roi tim tat ca cac
nghifm
cua
Q(x).
Tom
tit
each
giai
I Bap s6
BaiS;
Cho
d§y
so
{Un}
nhur
sau:
Un
=
(s+2>/6)r+
(5-2^
v6i
n
=
1,2,

3,
a)
Chung minh
rang
Un+2
+
Un
=
10Un+i
vod
V n = 1, 2,
3,
T6m
tSt
cdch
giai
b) L$p mot quy
trinh
bim
phim lien
tuc
de
tinh
Un+2
v6i n
£
1
(neu
ro
dung

cho
loai
may
nao).
Quy
trinh
bam
phim
c)TmhUli;U12.
Dap
so:
I:
Cho
tarn
giac
ABC
vai
duong
cao
AH.
Bi6t
^C=45°,BH
=
2,34cm,
CH
3,21cm.
a)
Tinh
gin
dung

chu vi
tarn
giac
ABC
(chinh
xdc
den 5 chu so
th|p
phan).
Tom
tat
each
giai
b)
Tinh
gan
dung
b&i
kinh ducmg
tron
n§i
ti£p
tarn
gidc
ABC
(chinh
xac din 5 chu
s6
thap phan).
T6m

t^t
cdch
giai
Bap so