SO GD&DT BAC NtrI.{H
TRIIOI{G TIIPT HAN THUYON
(Di c6 0l trang)
Ciu 1(1,0 di6m) Khdo siitvdvE ddthihdm sO (f'): y=+f -+ZL
Ciu 2 (1,0 tli6m)
Cho parabol (P.):y= x'-12m-31x+(m-I)'1 vir dulng thing d:y=7,'-**''
Chimg minh rdng d lu6n cit g^1t4i hai di6m phdn biQt A;B khi m thay d6i Tim m d6 tam giirc OAB vudng t4i O (vdt O ld g6c tqa dQ).
Ciu 3 (1,0 ili6m) I
,4
l Lno slnd =- voi 900 <a <1800 Tinh tancr'
2 BiCt sina + cosa = m Tinhgid tri bitiu thtic: I =
sina-cosu tan'a-l
Et KrEM TRA cHAr LtIgNG DAUNAM
NAM HQC 2016 - 2017
MON roAN LdP 11 Thdi gian ldm bdi: 180 phtu, kh6ng ke thdi gian phat di
sii? a sina+cosa
Ciu 4 (1,0 tti6m) Gidi b6t phuong trinh: x'-5x+6 l' -21' ,r3
c6u 5 (1,0 tli6m) Gi6i hQ phuong " tririh: {<,1"x I(4x + + l!,zt 5)(Y-5) - n = = 41Yaw
CAu 7 (1,0 tli€m) Gi6i phuong trinh:
./2.-Ciu 6 (1,0 tli6m) Cho tam giric ABC co AB = a;BC =2a; g6c BAC =120'.LAy trung di6m
M c;lia AC Tinh d0 ditl AM;BM ,tu il6 nOu nhfln xdt vd hinh dqng ram giitc ABM .
Ciu 8 (2,0 tli6m) Trong h€ tqa d0 Oxy cho tam giiic ABC dilth l(-3;4) noi d6p dudng trdn
(C) tam 1(1;7) Phuong trinh dudng phdn gi6c trong g6c A lit d : x + y -1 = 0
1 Vi6tphuong trinh (C) Timtqad0 <ti€m D(khric A)lit giaodi6m cua d vd (C).
z Bi6t dG;BC) = a.d(l;BC), vi6t phucrng trinh duong thing ,BC '
Ciu 9 (1,0 tli6m) Cho c6c st5 thpc dtong a;b;c Tim gi6 tri nh6 nhdt ctra bi€u thric
- a+3c c+3a 4b
y=-+-+-a+b b+c c+a
- HET -Thi sinh khOng tluqc sr? dgng tiri liQu Cr{n bQ coi thi khOnb giAi thich gi th6m.
Ho vir t€n thi sinh :
Trang 250GD) i)l:, ;- ' ,
TRTTO\'G TIPT F!\.\ TiJL'i.T
.- :.- .1
|
ttlU\trU.\\(i,l
Ei hJE.U TRA CIi.\T LL'I'J\L; D \L'.\ i.\I
NAII rIQC 2016-?0r:
ilIo|i: ToiN 1:
I l.+) DK: n> 2;n eff khi d6 C"z
+) P,, -24 =361872O
2.+) f (x)=2cos2r-sinx
02s
03s 02s
tr +) f (r) = 3mxz - 6x + m> o,vx e R
+)m=0 tac6 f (x)=-6x; "f'(t)>-0 <=x<0(loai)
-r)m+u.;
r1r) > o, vr e n - {l : : *
{_si.'
"
o o <.6
0,2s
02s
0'5
+) f (r) =
-i-(x + 2)'
+; M (ro ; yo
) xo * -2 ) h titip di€m cria tiiSp tuy6n.
+Yo=4
= f'(x^\=-7 <>l ro =-1'
lxo =-l=yo =-19
+)ro = -f ; plg66g trinh tiiip nry6n : ! = - 7x - 3
+) ro =-f ;pttty= -7x-31
0,25it
0ts
0,25
a2s
IV !\I-l;- (J, \ *z -zl(J-*z *z\,f\' /
'
'+2 (x2 + 5.r - l4)lJ.r + 2 + 2)
0,25
0'5
0,25
*1 = 1;* - t:?
= linr
L-'" (x-2)(x +1)lJx+z+z)'-:(x+7)(J.r+2 +z)
I
JO
v +) phuong trinh tludng thing qua 2 ditim A, B lex -4y+ 7:0
-+)c1i M (4n -7;n) e AB = gld'z = (am -7\t + *, = 5 e 17mz - 56m + 44 = 0
0,5
0'5