ruAo sAr cuAr LrlgNG cuol.. PHoNG GIAo DUC VA DAo TAo.[r]
Trang 1PHoNG GIAo DUC VA DAo TAo
rry xA ruAr HoA ruAo sAr cuAr LrlgNG cuol txAivt
NAtvt Hec 2016 - zan
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De mdn: To6n hgc lcrp 9
Thdi gian: 120 phirt (khong t<C tnOi gian giao dA)
{z* +3y - -!
[5x+2y 8
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'a -;-A-r
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z+N) z-NJ |:r-tA : {Y'
D€ chfnh thri'c
Biri 1 (1,5 diOm)
a) Gi6i hQ phuong trinh sau:
b) Tinh gia tri ctra bi6u thug
Bii 2 (2,5 di6m)
1
I
V =-x
-2
a)Rutggnbi€uthrjrc p -yJi+x^li , -f (v6i x >0,y>0 vdr x*y).
,l*v l* -'lv
b) Tirn tqa d0 giao di6m cira parabol (P): 2 vd ducrng thing (d):
J,J
z
c) Cho phuong trinh An *: 2x2 -2mx+m-4=0 Chirng minh ring phuong trinh lu6n co hai nghidm ph6n bi€t x, ,xrv1i mgi m Tim hd thrlc li€n hQ gifra hai nghiQm xt,x2 md kh6ng phu thudc vio m
Bei 3 ( i,5 Di€m)
, Khoing cdch giira hai b6n s6ng A u4 B ld 45km MQt ca n6 di tu' b6n A d€n
b6n B, nghi Y,' 40 phft cr b6n B rOi quay lpi btin A KC tu,hic khcri hdnh d6n khi vA tdi b€n A h€t tdt cA 8 gio 40 phut Hdy tim vQn tdc cira ca n6 trong nudc y€n lfng bi€t
J ^ i
rdng vdn t6c cua nu.oc ch6y la 3 km/h
BAi 4 (3,5 di6m)
Cho ducnrg tron (O), duong kfnh AB = 2R, tr€n tia doi cta tia AB l6y di6m M
sao cho MA: R Ke ti€p tuy6n ME vd c6t tuy6n MCD voi duong tron (O) (E ld ti6p di6m vd MC <MD);kt, EH -L AB(A e,eA)
a) Chirng minh ring ME2 = MC.MD vd goc OME co s6 do bdng 30"
b) Chrmg minh rdng MH.MO = MC.MD vi CHOD id tir gi6c nQi ti6p
c) Gqi I ld giao di6m cria AD vd BC, chring minh rbng ba di€m E, H, I thdng
hdng
Biri 5 (1,0 di€m) Giei phuong trinh : ^l*1 -*.
HCt
Ho vd tdn hoc sinh:
8+2x-x2
L* y: Gido vi€n coi khao sdt khdng giai thtch gi th€m.