lucr-ng mo1 ld 45 lmol n6n chi lir c6c axit
cacboxylic tlcrn chric R-COOH. V6i g6c R c6
Mn: 43 tmgvdi nh6m CzHl, c6c axit d6llr
T6rror;e,Mffim
(Thoi gian lam bdi : 180 phfit)
puAx cHuNG
C0u Ị (2 diam)
1
Cho ham so y -' xt-2xr +3-r
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1) Khno s6t sp bi6n thi0n vd vd d6 thi (Q cua
hdm sO (1).
\ Viet phucrng trinh ti6p ruy6n ctra d6 thi
(O, bitit ti6p ruy6n ndy di qua g6c toa d6.
Cflu IỊ p aiaml
1) Giai phucmg trinh
Ciu IIỊ (l di€m)
(1) Tinh tich phan
1=
D GiAi hC phucrng tdnh
lx2-xv+tr--3
{ (x.u e R.).
[2xr -9.r' =1x- y\\2Ư3)''
I + sinx + cosn -r- sin2-r + cos2x = 0. CAu V. (1 diAm)
i .,t5 *sin r - cos x
CAU IV. (r di€m)
Cho hinh idng tru dịmgABC.ÁB'C'co dby ABC
ld tam gi6c i,u6ng tAi ẠKhoingcbchti AÁd6n
m{t phlng (PCB'C)bdnq a, khoing ciich tu C
dOn mdt phang (ABC) b1ng b vd g6c gifia hai
m[t phing (ABC) vd (ABQ lit cp. Tinhthe tich kh6i l[ng W ABC.ÁB'C'theo rp, a vd b.
Cho ba s6 duong x, y, z th6a min x-t)t*z=1.
Chrmg minh ring
.@+q,+rf +n@ +y+ze +{ú) +n+N >{5.
B. Theo chúong trinh Nflng cao Cf,u VIb. (2 diam)
prrAx RIONG
(Tht sinh chi duóc ldm mot trong hai phdn A hoac B) Ạ Theo chucrng trinh Chu6n
CAu VIạ (2 diem)
1) Trong mat phing v6i hQ tqa d0 Oxy cho ho Trong m[t pheng voi he toa d6 Oxyz cho ducmg
ducrng cong (c-) c6 phuong trinh tdn (p c6 phucmg hinh (x-l), +(y+L)2 =25
x2 + yz -2mx + 4my +7m2 - 2 = 0. vd cli6m M(7;3). Lpp phucrng t iq duong
Tim m oc 1c..y ld ducrng trdn vd di6m !!:::,t,9-d_'o"u Mcdt(QtaihaidtamA, B
Ăl;-l) rrị,r ngoai ducrng tron d6. phdn biet sao cho A44:3MB'
2) rrong kh6ng gian v6i hq toa dQ oxyz cho 3LJ;Ả,Y:lifJ:1J,:Jil?j:"dXff"*;
ducrng thdng (dl:!-v-2 I 2 2 -z va mat fituh -- ) 1 3 + =4=4.raophuong ., rrintr mar
phing (P) e6 phucrng trinh x -.y+z-5-^ .'
viet pnuong trinh tharn s6 crra ducrng ,hi; ; '.ff-"t8 3H 6iliilTilf. .vot
(d) vd khodng di qua Ă3;-l;l), nim trong mflt phdng (P) va ca, vliị
o a,aaGi6i phuong trinh tr6n c
hc.rp voi (d) rnOt g6c 45ọ (a"-rl,^
t
-_,rlt
, +I)(22+ i) = 9.
C6u VIIạ Q diA@. t _
Giii phucrng trinh sau trdn tQp s6 phfc: NGUYEN vAN THoNG
7 + 2012 = 0. GV THPT chuy1n Le Qu!' D6n, Da Ndng)
,/r"\
Bg rcrAo sAr nn0x roAx Hoc xi I rop rr - xAnn 2011@i dang 0 trung 16) @i dang 0 trung 16)
T- DE TRAC NGHIÍM KHACH QUAN
Cflu i 2 J 4 5 6 Chon A B A B C D Cfiu I I I l0 11 t2 Chon , .C. D A B .D Ciu t3 L4 15 16 T7 l8 Chon D C B C C D ẹflu ', 19 20, .2.L', .t*,.i 24 ehqn A D: 8,. 1.er:;r C CAU 25 26 27 28 29 30 Chon D A C D D B
M6i cdu cluqc I diem.
II _ DE TI/ LUAN Bii Ị T_1t l. x =l+ ktt;x:-:+kn; k eZ. 63 /\t:
2.Bi6nAOi tnanrr sinf . 6i zr-n l= -1t.2
Dansọ '2424*:- J-+kn:x -17n + kt'.k e z
3. o Gi6i phucrng trinh cos2x+1,5cosx:0,5
tim dugc '1 *: t!+ k2x;k e Z.
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