Tài liệu sbatreo_DE THI DAI HOC

Mot so de thi giup cac banthi dai hoc trai qua nhieu
dang hon de cua tui chi co ! cac ban dung ngac nhien.
tui chuc cac ban on thi tot !…
TRUNG TAM :SBATREO DE THI THU DAI HOC NAM 2011
DE THI CHINH THUC MON : TOAN “KHOI A”
THOI GIAN : 180’
CHI DANH CHO HOC SINH KHONG PHAN BAN “KHONG CO SU LUA CHON THONG CAM”
CAU 1: cho hamso : y=
x+2
x−1
(
C
)
1.
khao sat su bien thien va ve dothi ham so
(
c
)
2.
lay diem M thuoc
(
c
)
.tiep tuyen tai M tao voi

hai tiencan mot tam giac.tinh die n tichtam giacdo
CAU 2 :
1.
giai phuong trinh:
√
14x

3
−12 x
2
+7 x−6= 2 x
2
−14x+13
2.
giai phuong trinh : 3 sin 2 x−cos2 x=3 cosx +9 sinx−5
CAU 3 :
1.
tinh tich phan : I =
∫
11
8
2
√
x +2
(
x−1
)
5
dx
2.
trong oxy cho A
(
1 ; 2
)
, B
(
x ; 3

)
,C
(
y ; 0
)
.
tim x , y de tam giac ABC deu
CAU 4 :
1.
cho tu dien ABC deu canh 1.la y diem M thuoc AB sao cho :
AM=
1
√
2
. laydiem N thuoc AC sao chomp
(
DMN
)
vuong
goc voi mp
(
ABC
)
. tinhthe tich cua : DMNCB
2.
trong oxyz cho A
(
1 ; 2 ;3
)
. B

(
0 ;1 ; 6
)
,C
(
2 ;0 ; 1
)
.
xacdinh toa do tam duong tron ngoai tiep tam giac ABC
CAU 5:
1.
giai phuong trinh sau tren tap so phuc : x
4
+1=0
2.
cho ha i ham so : h
(
x
)
=2011 x−2011
1− x
−2010 ;g
(
x
)
=
(
m−1
)
2011

x
−2. 2011
−x
+2 m +1. tim mde ham tic h : h
(
x
)
. g
(
x
)
co GTNN ban g khon g voi m oi x ∈ [0 ; 1 ]
…………………………………….HET…………………………………
TRUNG TAM : SBATREO DE THI THU DAI HOC NAM 2011
DE CHINH THUC MON : TOAN “KHOI B “
THOI GIAN :180’
CHI DANH CHO HOC SINH PHAN BAN “KHONG CO SU LUA CHON THONG CAM”
x
(¿¿ 2−1)−1(Cm)
CAU 1 : cho ham so : y=x
4
+ m
4
−2m ¿
1.
khao sat su bienthien ,ve do thiham so
(
C 1
)
2.

tim mdeham so
(
Cm
)
tiep xucvoi oxtai hai
diem phan biet
CAU 2 :
1.
giai he phuong trinh :
{
2
(
x
3
− y
3
)
=3 xy
x
2
y
2
=4
2.
giai phuong trinh:
cos x
3
− sinx
3
√

sinx+
√
cosx
=2 cos 2 x
CAU 3 :
1.
tinh tich phan : I =
∫
0
π
2
√
tgx dx
2.
trong oxycho : A
(
1; 2
)
, b
(
x ;3
)
,c
(
y ; 0
)
tim x , y de tam giac ABC vuong cantai A
CAU 4 :
1.
cho tu dien A BCD co mot canh lon hon 1.

cac canh con lai khong qua mot
tinhthe tich lon nhat cua tu dien nay
2.
trong oxyz choA
(
1 ; 2 ;3
)
. B
(
0 ;1 ; 6
)
,C
(
2 ;0 ; 1
)
.
tinh do dai duong phan giac ha tu Axuong BC
CAU 5:
1.
rui gon : A=
(
1+i
) (
2+3i
)
( 4−2 i)
(1−i)( 1+ 2i)
3
2.
tinh dientichhinh phang gioi han boi cachamso : y=

∣
x
2
−1
∣
va y=
∣
x
∣
+5
…………………………………….HET……………………………………