Hai nghiQm trrii d6u D.. Giatri lon nh6r cuahirm sti uing I.. narn so ttong co girl tri nho nhdt.
Trang 12-GT t2
2016 - 2017
chofdm.6
a' po thi hdm s5
da cho kh6ng c6 ti6m c6n ngang B Hdm sti da cho co t4p x6c
dinl ta 7 = r( \ {0}
C' Hdm sd da cho dong bi6n ,,€n tap x.,c dinh] o po tiri him
s6 da cho c6 *ur r,e- cfn dung rd trpc
e;.
:'-::: r.l_',j*::;r
I , 0 <b *1 vit x,.1, rd hai s6 duong ;;:;:'-rnh d6 sau, mQnh da nao o,ingz
D' tvbu'
log,, b
c log, (, u y) = iogn x + log, y D tog,
(*.y ) =log" x tog"
.i,
(."f,u -1: phat Ui6u nio sau d6y sai khi n6i vC ham s6 y = Q_,
A Dg thihdm s6 da cho nhfln rruc Ox ldm ti€m , ^
.!
^
l: l',H;::;:l g::ffi*;nsans ,; HT,::T,'I:Tff',1:i.::H,#
6 lna<jn6<0 g.0<lna<lnD
( l;i * 5: HAm s6 ndo sau d6y d6ng ulan oer-iap x6c dinh .oui'o'o*'
a < 1<log, b D log., e < I < log,
e
/, \l
IJ i (tr\
,-, (Iiu 6: chqnkhingdinhsairrongc6ckh5ngdrnhsau: [:i D' ]=-3lnx
.:." logx<0c>0<x<l
B" logra<log, b<>a>b>0
' {' Iog,a>log b*o<a<b i l
I], Inx>0<+x>l
{-tiu 7: cho ham s6 -v = ;'-€ ' Hoi khing dinh ndo duoi
d6y ld khang dlnh dring?
A D6 thi hAm s6 da
"ho:: rQr ti6m c6n ngung ua kh6ng c6 ti6m cfn dimg
B Di thi hdm so dd cho urong .J ,ti.".'#"".
C D6 thi hdm s6 da cho tf,r ,g .O iii, i, ,**, vd
^co
mQr tiem c4n dung
D Do rhi hdm s6 da cho o *Qt tiOr,, an ,euf! ,u *Ot ti€m c6n drnr.
( :irr $:
*,?lHt;"JilrlllB:'.:g;;i;;'';a' 'JffiT;;Tf; hdm so duoc ridt
A'J' : xo
s.y *fi
C,y=,u
D 1t:Y'
ci* 9: , Euong cong o hinh b6n ii d6 rhi cua
Tj,l:* s6 trong b6n hdm s6 ducrc li€t k6
o b6n phucrng 6n A, B, c, o J"oi aiv]uu, ao rd hdm s6 nao?
A.y = 16
B.Y =7ogs x.
C.y: log.,-, x
1
D,V: ' (6)'
H6i A- n<nciiii
Clliu l{}:
5
A, X'
Chox)0,vi6tbi6urhuc
I
B xi
dudi dang cria mQt stl vdi sfi mu hiru ti Chon drip
rin dring
9
C xi
{' a+b
!
D xe
Cho a tdsii thpc duong Rrit gon bi6u thuc , ="
," ,V'r-o
'rr"rl
/z
l,'u
.7-! tl 3 r I )\
ot6tl aib-l *o-if l
\)
!!
3b4
l 4
Ciu I l:
,\r a2 -bz
ta ducy c ktit qu6 ;
*3, a-b
li b -a
Trang 2_3 _l
C'lirr l?: Tim di6u kiQn cira a.biCt (2*a)i 12- olt
A.0<a<l
Ciu l3:
A,3
8.1<a<2
B t2
2a-b
A_
^ In(x+ l) - I
^ ,n1**,t
C a>2 nhAn gi6 tri bing?
c.6
Tinh log m theo a ya b.
^ b-a
L_
1-a
t'.8a-4
i' I
2(t - a)
C (1;+oc) \ {ln3}
C [0:+rc) \ {2}
^ l-h(x+l)
ln- (x + l)
C D =(_-"o; _3 f t, {5; +"o)
{ D=f ,/-l:l(l
{1.4-81n2
3(t +b) a+b
l-2xln2
-v,
C.y'=
lzx-sltn:
D a>)
D.4
D Za-b
2-a
l),8a+4
i), l 2(1-a)
D (0; +oc) \ { ln 3}
D (l,+cc) \ {2}
_1
D.
ln(x + 1)
ab' tr Cho log.r=j ,u log b= j *'do log
Clu l'1r Cho m>0, m *! , bgo,,3mz = a ,
I
lop.2 = I
D
B o-b
1-a
Citr 16: Cho a = Iog,r 3 Khi d6 logr, 15 bing:
i,lR.l
Ciiu l7: TAp x6c dinh cria hdm s6 y = ? ;* fn [:1] fa'
\t-x,/
A R\ {ln3} B (-co;l)
l
Cin lll: T4p xdc dinh cua hAm s6 .r'= iog r 2+xi lir:
('iu IS: Ndu a=log5 thi log925 6;n*,
CAu I9l D4o hdm cua hdm s6 " ,, = '* ln(x +i) I ld,
Cf,u l{}: TAp x6c dinh cua him s6 -} = logj
[#),,
Ciu 2l : Hdm s6 v = (n' - 3)-' c6 r4p x6c dinh ld:
D ln(x+l)-1
D._-_-ln-(x+J)
fr e2 -g Cho a=log3 ; 6 :1og5 Khi do 1og,, 8 bing:
- 3(r -b)
lt';;'
( iu 2{: Tinh dao hdm cua him s6 , = a .
' jt\
D D =n r{.5}
I) 4+81n2
l-xln4
A,:
2"
" (2x-5)ln3
a r+:!t ' 2'
o l-2x1n2
D.-2\'
A
B ' y'= (2x-5)ln3
1?
B ( co: ii I
' 2'
$ 3(r -p)
C
(xln3+1).32'
C.v'=+ '
(*3" +t)tnJz
a-b
2xln2-1 4'
I
12., -1r"3
D ' v,= (xln-81 + (x.3" + 1) 2)'3" ln 2 .
D
c t?r+*l '2
.'{ D =(*,-€).(.6;*) B D =,t
" {-.6;.6}
Ciu 22: Gi6 tri lon nhAt cira him s6 ! : x' - 8 ln x tr6n do4n [t;e] ta:
,{ 1
CAU 2.1:
3fi-q\
A,.-a+b
Ciu 25: Tinh d4o hdm cria hdm s6 y = logs lZx -Sl
(liiu 26: Tinh d+o him cia hdm s6 -y = log€ (x,3" + l) .
r2t r 2.2r-l
B.v'= ' (*.3' 3 +'+x.'5 +t)tnJz
-CAu 27t Tdp nghiQm cria b6t phuong trinh
HQi An, 05112/2016
16 toan - THPT TrAn
Trang 36n t$p chuong 2 -GT 12 Nim hgc 2016 -2017
Clirr 2lt: Phucrng trinh 41.' +4r-' = 10 co:
A Hai nghi€m dumg B Hai nghi€m Am C Hai nghiQm trrii d6u D V6 nghiQm
c iu lq: T4p nghrem cua bit phuong tri"h [ 1] I l l "
,u,
\.5, 12,)
(liu l{}: Sii nghiQm cuaphuongtrinh logr(9 -2')=l0ro8(r-tr) ld'
" I*,:l
c 1
j
1
c (::3'l '4
C -.6
D .x
D.3
D v6 nghigm
("iiu 3l: Gi6 tr"i lon nh6t nho nhAt cua hiim s6 y = xe-' tr0n [0, +.o; IAn luqt ld :
A Hirm s6 khOng c6 gi6 tri 1on nhAt, gi6 hi nho nhdt cua him sri bing f
e
r o;-e
1
C -:0
e
D Giatri lon nh6r cuahirm sti uing I narn so ttong co girl tri nho nhdt
e
C-irr 32: Tap nghi€m cira b6t phuang trinh sau 21og.(4x-3)+log, (2x+3) ( 3 li:
3
A.(-;+-)
('iu ,13: T4p nghidm cua b6t phuong trini 1og, (*' -Sr-O)> -3 li:
2
* [-2;-i)r-,(6;z] c [-2;-1) r] (-2;-1)w(6;7)
Ciu 3-l: GiA tri nho nhat cua hirm so , : h (.t' + x _2) tren do4n
[:lO] ta:
D ln40
t.l-2;tl
I
.\ -3
Ciu 36:
r (0;t]
t au -t /:
n [0,1.l ( 2_l
4
Hoi khang dinh ndo duoi d6y f a i.i,irg linf-, itung ?
' '- Ilr*tl<x+z ' [lr*licx+2
|.lr*),> r+2
Ciu 10: T4p x6c dinh cua hdm sri y =(*' -Ox +e)f ta :
B"6
J Tap nghiQm crla b6t phuorg trinh log, (x' + 3x) < 2 ld:
t: ( co;-3)t,(0;+*)
T4p nghiQm cua bAt phucrng rrinh (2 * 6)' (z -+6)' ru,
a (*;-a) n (-+;+o) C ( o;-a]
(liu 3tlr Gqi xr )x, Iit hainghiQm cria phuong trinh 22'*3 -33.2' * 4 :0, khi d6 tich cua x, vd x, Id:
24
CiArr 39: Cho b6t phuong trinh : log" lx + 1l + 1og,,, (x +2) > 0 (*).
D D=R\i3|
a
.1 y
' z{Q*-z)' :{(:**2)' t'l3x +2
r) .6
n [-+;-:)u(o;t]
o (a;+rc)
HQi An, 05l1212016
Trang 4t6 to6n - Trulng THPT TrAn Qriy C6p - Tp HQi An
i iu -ll: Tinlr dao hirm cua hirm so .r = totl-l
.
-9"
sinx- 4(cosx-l)ln3
a -.'
, .q \
J
, sinx-4(cosx-l)ln3
J
( ritr {.1: Cho so thuc a, bidr lOg, a.lOg.o a =32.
A.a=256troac a= 1 B.a=76.
256 ciiu {4: si6t 64' +64-' = 1 19 Kri do 23' +2-3' bing',
Ciu 45: TapnghiQm cuaphucrngfrinh 21ogl x-14logox+3=0 ld:
(lAu 46: T4p nghiQm cuabAtphuongtrinh loglx<log, I+4 h:
sinx-2(cosx-l)ln3
D,y' =
C.a=64.
r 4x
J
D.a=16 f,oa, o=l
t6
!) {.tr;6}
( t-t
tl I 0:- l
t 3_l
t " (o;e]
Goi x, ;x, ld hainghiQm cuaphuongtrinh 32'*4.3"r +27 -0.klidri \+x2 lirl
ri f1,e'l
\3 )
c.100%
D m>4.
r ;4 B.r-[1]
100
Ci u 53: MQt ugudi gui I 5 triQu ddng vlo ngAn hang theo Fti :h"" 16i k6g d$h k ' k} hen mQt qqf, vdi I6i sudt 1,65% mQt quf.
H6i sau bao hu ngudi d6 .6 d.rr it ntr-At ZO triQu ddng (ci v5n 6n ldi) tt si5 viin ban tliu? (Gin st ldi su6t kh6ng d6i)
Siist the thirc l6i t
"p tt eo dlnh lci h n6u d6n ki h4n nguoi gui khdng rut lii ra thi tiAn Ei tlugc tinh viro v6n cria ki k6 ti6p
A 4 n[m 2 quf B, 4 nim I qulf C 4 n6m 3 quf D' D6p 6n kh6c'
C6u 54: dog a.uuy ngin h4n ngin lring iOO trieu d6ng,.l6i stdt 7zYoln5rm Ong mui5n hoin ng cho ngin hang theo cich: Sau
ilung mQt th6ng k6 tu ngay vay, 6ng bit dAu hodn ng; hai lan noin ng li€n titip c6ch ntqu {u+g mQt thring, st5 ti6n hoan no d m6i lan la nhu nhau vd trn hiit tiAn ng sau dring 3 th6ng k€ tir ngdy vay H6i theo cich d6, s6 ti6n ,?, md 6ng A sE phii ti ngdn hang
tong m6i lin hoan ng li bao nhi6u? Bitit ring, l6i sudt ngdn hang khdng thay tt6i trong thcri gian 6ng A hoan ng
100 x 1.03
A n1 : - J- (tri6u dong)
r20 (r, l2)r
C.m=+ (trieudong)
(1,r2)'-l
g.,, = -! ilf- (tri6u d6ng) (1.01)' - I
D m -1oo'(1,01)3 (triQu d6ng)
3
=-#
[1".l
tl I
Clu 47:
! l')
Ciu'{8:
Chophuongtrinh igg,2 x-mlognx+m+J:S.TimtAtcac6.916tr[ cuazd6phusngtrin]dachoc6hai
2
nghiQm phAn bi6t xr ,r, sao cho -tr, * x, > 2
Ciu4tir Timm phuongtrinh 4'-2m.2'+2m=0 cohainghiQmphAnbiQt x.x2saocho x,+x" =3
Cftrr 5(l: Tim c6c gi6 tri cua zr d6 phuong ,rlnt.,, J3' +l + S- = m co 2 nghiQm phAn biQt:
Clirr 5l : Tim tdt cit citc gi6 tri thirc cira tham s6 z sao cho phuong trinh 1og, {-r' -3x - rn + 10) = 3 c6 hai nghiQm thgc phAn biOt, tr6i dAu
A.m <2.
Ciu 52: GiA su cri sau m6t n6m diQn tich nmg cua nuoc ta giim x phAn trin: diQn tich hien co Hoi sau 4 nim diQn tich nmg
cta nuoc ta sE li bao nhi6u phAn diQn tich hiQn nay?
HQi An,0511212016
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a lr i- l