PHONG GIAO DUC & DAO TAO DIEN CFIAUon xnAo sAr cnAr lUoNc vAN HoA Lop q crUa rt rr NAvr Hgc 2ot4 - zors M6n Todn - Thd'i gian ldm bdi 90 philt Bni 1.. 3,5 di€m Cho duong trdn O clucrng k
Trang 1PHONG GIAO DUC & DAO TAO DIEN CFIAU
on xnAo sAr cnAr lUoNc vAN HoA Lop q crUa rt rr
NAvr Hgc 2ot4 - zors M6n Todn - (Thd'i gian ldm bdi 90 philt) Bni 1 (2,0 diem)
Cho bi6u thirc: P : ( - j; I'
\ m\ r I i '^ 1 1
a) Tim di6u kiQn x6c dfnh vd rut ggn bi6u thric P;
b) Tim tdt ch cdc gi|tri cua x d6 r t o
Bii 2 (2,0 di€m)
1 Giai h6 phucrng trinh: {2x+ tt=3
l'-Y=6
2 Cho phucrng trinh bpc hai: x'- (m + l)x * m:0 (1)
a) Gi6i phucng trinh (1) khi m : 3.
b) Chfng.minh rdng phuong trinh (l) 1u6n c6 nghiQm v6i moi m
Bii 3 (2,0 di€m)
IvI6t ca n6 chpy xu6i ddng tii A c16n e r6i chay ngugc ddng tir B t16n e fr6t t6t
ch 4 gid Tinh v4n t5c cua ca n6 khi nu6c y6n l{ng, bitit ring queng sdng AB ddi
30 km vd v6n t6c ddng nu6c le 4 km/h
Bni 4 (3,5 di€m)
Cho duong trdn (O) clucrng kinh AB Ggi D ld mQt cti6m U6t ti tr6n duong trdn (D kh6ng trirng v6i A vd B) Qua A vd D k6 hai tii5p tuy6n v6i ducrng trdn (A vd D
, ,.1 i
ld c6c tiOp cli6m), hai ti€p tuyOn niry cdt nhau nhau tpi E Gqi H ld giao di€m cria
AD vd OE, K li giao ili6m cta BE vdi duong trdn (O)
1 Chrmg minh tu g1itc AODE nQi ti6p
2 Chimgminh: EK EB : EH EO.
3 Chimg minh ttt gi6c BOHK nQi ti6p
Bdi 5 (0,5 di€m)
Gi6i phucrng trinh:
3i +2x=2^li +.x+1+1-x
- HCt