ĐỀ TUYỂN SINH TOÁN LỚP 10 THPT THAI NGUYÊN

pr cgiNn rntlc

Thli gian lim bii:

Cflu 1 (r,0 dia@. Cho hdm sti
birin hay nghich bi6n tr6n

R.

ruYtx

srNn Lo? 10 rHPT
xAm Hec 2ot6 - 2ot7
vTON THI: TOAN HQC

THr

UBND T1NH THAI NGUVEN
so ctAo DUC vA DAo rAo

120 phfit (kh6ng

,=(J1-Ji)*+z

c6

kA

thdi gian giao

d6thi (d). Hdm sii dacho ldd6ng

? Giai thich? Tim tga tlQ giao di6m crta

Cfru Z (t ,0 di€m). Khong dung m6y tfnh cam tay, rut gen bi6u thric

cnu 3 (1,0 di€m). cho bitiu thric
Hdy rirt ggn B vd tinh

Ciu

,

@)vdi tryc tung.

*(Z*il2[

J;

-#),voi
[w

r=(#,#)
.

-\E8-8

x>o,x*

'

giltri ctr. Bkhi x = 3 +.6'

C6u 4 (1,0 di€m).Xitcdinh c5c he sO avdb, Uititn9 phuong trinh
c6 nghiQm

di)

f**by-4
L[.0, - 2y --2

(*;y) = (z;-l).

5 (1,0 di€m). Kh6ng dung m6y tfnh c6m tay, h5y gi6i phucrng trinh:
xz +6x-2016:0

Cffu 6 (t ,0 di€m). Cho phucrng trinh

x' -

Zmx

* (*'- +):O 1t;,

rn

li

tham

si5.

a) Chung minh phucrng trinh ( 1) lu6n c6 2 nghiQm ph6n biQt vdi mqi gi6 t4 cliua m.
b) Goi x, xrlir2nghiQmcuaphuongtrinh(1). Tim mdd *r'*xz2 =26'
Ciu 7 (1,0 di6m). Kh6ng tinh ttmg gi6 tri cp th6, hiy
cos

20' , sin 3 8' , cos 5 5' , tan

480

sdp x6p c6c

ti s5 lugng

gi6c

, sin 88' theo thri tg tSng dAn, gi6i thich?

Cffug (l,0diAm). Chotamgi6c ABC vu6ng tU A,c6 sin.B=l.16rtinhc6ctisiS luqng
gi6c cira g6c C.

Cfiu 9 (1,0 di€m). Cho ttuong trdn tdm
tirip tuytin AB,
song

trdn

AC voi

Ciu l0

di6m Anim ngodi duong trdn. K62

duong trdn (^B,C ld2ti€p diCm). Qua C k6 mQt duong thEng song

voi OB, cgt OA taiH. Chrmg minh
vi I/

O vdmQt

rEng

tu

giac

ABOC

nQi tiep duo. c trong mQt duong

ld @c.t6m cfia tam giac ABC.

(1,0 diA@. Cho

tf

gi6c

ABCD

nQi ti6p tiong

ilulng tron(O;R),c6 hai duong

ch6o vu6ng g6c v6i nhau vd ciltnhau tpi /.
a) Chung

minh.i,g, IA.DC -

ID.AB;

b) Tinh t6ng AB2 + CDz theo R.

--- rudt---S6 bao

danh:

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