Hdm sii dacho ldd6ng birin hay nghich bi6n tr6n R.. Tim tga tlQ giao di6m crta @vdi tryc tung?. Chotamgi6c ABC vu6ng tU A,c6 sin.B=l.16rtinhc6ctisiS luqng gi6c cira g6c C.. Cho ttuong tr
Trang 1UBND T1NH THAI NGUVEN
so ctAo DUC vA DAo rAo
pr cgiNn rntlc
THr ruYtx srNn Lo? 10 rHPT xAm Hec 2ot6 - 2ot7
vTON THI: TOAN HQC Thli gian lim bii: 120 phfit (kh6ng kA thdi gian giao di)
Cflu 1 (r,0 dia@ Cho hdm sti ,=(J1-Ji)*+z c6 d6thi (d) Hdm sii dacho ldd6ng
birin hay nghich bi6n tr6n R ? Giai thich? Tim tga tlQ giao di6m crta @)vdi tryc tung.
Cfru Z (t ,0 di€m) Khong dung m6y tfnh cam tay, rut gen bi6u thric , *(Z*il2[ -\E8-8
cnu 3 (1,0 di€m) cho bitiu thric r=(#,#)
[ J; -#),voi x>o,x* '
w
Hdy rirt ggn B vd tinh giltri ctr Bkhi x = 3 +.6'
f**by-4
C6u 4 (1,0 di€m).Xitcdinh c5c he sO avdb, Uititn9 phuong trinh L
[.0, - 2y 2
c6 nghiQm (*;y) = (z;-l).
Ciu 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 sdp x6p c6c ti s5 lugng gi6c
cos 20' , sin 3 8' , cos 5 5' , tan 480 , 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 O vdmQt di6m Anim ngodi duong trdn K62
tirip tuytin AB, AC voi duong trdn (^B,C ld2ti€p diCm) Qua C k6 mQt duong thEng song
song voi OB, cgt OA taiH Chrmg minh rEng tu giac ABOC nQi tiep duo c trong mQt duong trdn vi I/ ld @c.t6m cfia tam giac ABC.
Ciu l0 (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: .i!,.