1,

o ooro

& DAo

GIl(O DUBhi

TIdC

r4o

KV THI TUYEN SINH vAo LoP IO NAM 2025-2026
Dt rHr MdN: roAN (cHUNG)
Thoi gian ldrm biri: 120 phrit
(Di thi gim co 02 trang)

KHAO
Ciu

1. (2,0

didm)

l. Tinh giil tri bi6u thuc: A = 16 +tln

2. Rut gqn biCu

thuc: p =

-1,voi

"
x+./5

; B =rfi+'fi|

x+

-.6.

Ciu 2. (2,0 didm)
1. GiAi

phuong trinh: (2x+3)(3x-6) =0.

2. Kh6ng su

dqng m6y tinh hiy gidi

3. MQt s6n bong dd 7

chiEu dAi

vi

hQ

5x

phuong trinh:

-2y =$

3x+4y=10

nguoi co chiEu dtri l6n hon chiEu rQng 20m vir c6 di€n tich bing 1664mr. Tinh

chiEu rQng cta sAn b6ng d6 d6.

CAu 3. (2,0 didm)

1. VO db

1

thi cua hAm s6 y

2

2. Ggi x,,x, ld hai nghiQm cua phuong trinh; x2
cua bi6u thuc

-2x-5=0.

Kh6ng

giii

phuong trinh, tinh gid tri

S=.ri +9xr+7.

Ciu 4. (1,0 didm) Sau bdi thi m6n Ngir vdn, c6 gi6o ghi lai sd l6i chinh ta cta 40 hqc sinh trong ldp
9A viro bdng thdng k6 sau:

a) Hay

2

5

2

2

1

J

4

0

5

2

5

4

2

L

4

J

J

2

0

4

5

4

lip bing

-t

2

1

J

5

1

0

4

7

5

1

4

7

1

0

J

1

4

thn sd vA bing thn sd tuong ddi sd l6i chinh ta cua hqc sinh.

b) LAy ngAu nhir6n mQt hgc sinh trong l6p 9A, tinh xiic sudt dd hqc sinh nAy c6 sd l6i nhiEu hon 3.

2

Ciu 5. (1,s didm)

l.MOtbO'nuochinhtrlrcob6nkinhdiiyR=l'2m(tinhtutAmbdddnmdpngobi)'bEdiycta
thirnhbdlirb=0,05m,chiEucaoldngb€,lirh=1.6m(hinh1).Tinhdungtichcuab6:nudc(kdtquA

lim trbn

ttdn hhng Phhn

trim)'

lh

Flinh
2. MQt chn cA'u

1

nghi€ng mQt
Bidt tay cAu AB c6 chi'6u dAi 16m v)
dang nang mQt khdi g5 t€n s6ng

g6c420sov6iPhuonSnimngang(hinh2).Tinhchi.6udiriBCctacloqndAyc6P(k6,tqual}mtrdn
cldn hirng Phhn trdm)
tt

l(, lll

{l

('

oo ooo

Ciu

Hinh

2

6. (1,s didm)

Cho tam gi6c nhqn

ABC haiduhng cao BE'

CF

cAtnhau

lH.

1A

trung di6m cia

a)

trbn tAm /
Chfug minh tu giAc AEHF nQi tidp dudng

b) Chung minh

t4i H ' Cqi M th trung di6m cua BC'

FM vu6ng

c) Tidp tuydn tai cdc

g6c

voi

F1'

gi6c IBC cit nhau tai di6h N
tti€m 8 vh C cua duong trdn ngo4i tidp tam

cta do4n thing EF'
Chimg minh ring AN di qua trung di6m
Hdt

1