Bài tập trắc nghiệm Lũy thừa 20162017
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-a
LU? T}IUA
L
[l- 1)-o'"
It\-: ta duoc:
| +l,
\16' \,8/
Cflu1: Tinh: K =
A.
I
Cflu2: Tinh: K =
1o-3 : 1o-2
A.
c.
B. 16
2'.2-t +5-3.5*
L2
10
@ro
18
, ta duo. c
-(o,zs)o
c. t2
@to
,/
D.
15
1\'
2:4-2 +(3-' )' I 1
\
/lol\),/
t-' ,.taduoc
C*u3: Tinh: K =
(r)-'
5-'.25'+ (0, z)o .l-l
\2)
I
B.-
(A)
\_/ -13
I
5
c.-
-J
n.?
a
J
3
2
CAu4: Tfnh: K = (0,04)-''' - (0,125)-l
, ta duo. c
\/
(
C. 120
A.90
CAuS: Tinh: K
A.z
,Y
=
87
:
8J121
6
D.
125
4
3i - 31.3i.
8.3
ra duoc
@i
D.4
2
C6u5: Cho a li mdt sd duong, bidu thrlc ul Ji vidt dudi dang lu! thila vdi sd mfr hftu t!, lil:
j
5_
(a)
\-/ uu
B.
o
6
a6
^-=
cAuT: Eidu thrlc u',11u] vidt
i^2si
dr-r-oi
C.
ai
dang
lu!
A.aI
(9u,
cauS: Bidu thfc Ji.fi.{/t'
7_52-5"
A.
xr
B.
A
cflulo:
=
Vx
Ch_o
.
Khid6
f(x) =
Cflul2: Tinh: K
s
-
i
rf t}:
\' *l
bang:
D
o,4
fr!'l
bdne:
10,/ a
[
rb) 13
B.'^
@ 2,7
j'
Cu)
G/,3
\-/
10
Cflult:
ln:
D.al
c. xl
il
A.t
$
.
Khi d6 f(g.S?)
J*.}',
ttrrra vryi sd mfl hfru
(x > 0) vidt du6i dang ru! thira v6i sd mfi hffu
'!:P
o,1 V;.V;.
Cho fix)
I
D. a7
C.aE
xi
Cflu9: Cho f(x) =
il
D.4
10
fifi'dt' . Khid6 f(Z,1)bang:
8.3,J
C. 4,7
D.
4s+J1.2r-dz .2+*Ji, ta duo. c:
8.6
c.7
5,1
'
8
.
.
A.
(D)
i
CAul3: Trong ci{c phuong trinlr sau dAy, phuong trii6 n}o c6 nghiOm?
1---1l:.xl
A. x6 +
B.
C. xi +(x-r); =g
@ ^Ciul4: M€nh dd nio sau dAy li
i:
1=0
o
Jx-4+5:0
dring?
(f -Jr)-. (S -Jr)'
. (r-J7)' . lr-Jl).
t
/
r-\3
i
CAu15: Chon m0nh
dO
r-tl
B (*1 -J7)' , (J"
-r3
(d(^ -.,0)'
dring trong c6c m0nh dri
sau:
-.,D
.(+-Ji)^
I
i
i
-t=0
A. 4-J5 > 4-'5
Carr16:
..[i)"
.[;)
B. 3r'r < 3l'?
Cho;" >;'t. l{..t lilin ii}i;.liu iial,iii drirrg?
A.cr<$
@r;or$
(t
!$*
*'
CAu18: RLit gon hidu
9a2b
thfc: JSLJbt
B.
-9a2b
Cfiulg: Rrit gon bidtr tlrLic:
A. x'(x +
D.a.B=l
, ta cludc:
@ *'lx+
C.
rl
t r-..--
ti
c.V;
/
A"xr+1
I
1r \o
D.i:i
" [3)',
[:,r
(rt; * {&. *, ) (^ - ..,E - r )
@)x2+'x+1 C.x2-x+1
=_(
*
rE "'?
r
)
ta duoc:
D.x2-1
:;(r^ * u o )= t rhi gii tri curr o- la:
j
A.3
f\-4U!4.
Ax1A. r-h^
UrlV
J;
1
B (?\"
t3l
Cin22: Riit gon bidu thfrc o
CAu23: lieu
D.
I
5
/r\ra
l:l
\,3
o lx(x + t)l
-xo(x+i)'
yrr/xlx1r : x '' , ta dtloc:
B.{['
@v;
D. Kdt quilkhdc
Oo'1t,|
@.
\[L- - U' . lit duoc:
1)
CAu20: Rdi gorr bieu thLic:
A.
C.u+$=g
\]
+)' I r",iiu thric nitgoncua K l):
-y'''rt(
I i r-r.,i)'
x)
\^
i[
\
C.x+l D.x-l
B.2x
cau17: L-hoK= i
A"
,[
@(3)'.(i)"
2
?
v
c.
C.r
8.2
''''
7
, a
B.2a
A,
/\_-/
A V;
Cfiu29: Cho 9' + 9-*
-:
B.
.
-r/-r
vJ -1,/^1
:
ii
3a
D.4a
j:':
(x > 0), ta duoc:
(9'r'*
:23 . Khi do bidu th(rc K =
sl22
:,fii nVG*i,/+ p. tB+{/a
c.
(b > 0). ra duoc:
(c, u'
D. b4
b
x.{"x' :x'n
-+
V,
to > 0), ta duoc:
C.
ti
ta duoc:
1'/I-r
II
\u)
Ciru27: Rtit gon hieu thuc 6{r:
A. b
B. br
CAu28: RLlt gon bidu thr?c
J-;
.1/<
s. i/i *
uut I
D.creR
C.cr<3
rhf.
+i/lu + il4
Ciu26: Rrit gon bidu thfic
rA\
\/
)
\-
B.ct>3
CAu25: Truc cdn thttc & mAu bi
5
-1.
.{A rldu c-,r
,t^.; ldI; vlltrb,
.t,',-^,)
-\ E,}-t . \IA-titrlrrrr
uL -;^
Jutr urrJ
@-:
a
(U.O
1
cl
o. *l
1t1' I :-l
r
I_J
a(
-J
1'1
o-.Y
}t
c6 gi6 tri bang:
1
o rt l-l
(U
o
1\1.
D.2
,
a
-t-l
C*u30: Cho bidu th(rc A = (a + t)-' + (U * l)-' .Neua= {2+J3
\/
I
vdu=
(r-€)
'
nl,
u\j
n.-
thi gi6 tri cria A lh:
1l
I).2
@r
f]. ;i
u.3
HANI SO T,TiV'TTILTA
CAul: Hlim sd y =
A. [-1; 1]
,r ---;
Vl - x' cd tAp xiic dinh lir:
B.(-*; -11 u [i; +co)
CA.uZ: Hhm sd y =
(o*' -t)-'
A.R
B(o;
CAu3: Hlim sd y = (o
A. [-2;2]
C*u4: Hhrn
sd y =
A.R
CAu5: Hlm sd y =
*^'
+m))
0*{j,;i
" [j, ;)
c6 tap x6c dinh liL:
);
v
l2;
+a)
@n
D. R\{-1; 1I
*^,1(^' - I )" co tap x6c dinh ld:
(U (1: +*) C. (-l; 1)
D:R\{-l;
{tr;f
c6 dao h}m
th:
C.
|
-;
I
1}
i
[t-ur.r)L'
r
Uriu6: Hdrir sd y ,= i'Li-ii
\At
@n
}
li:
l
B. (-oo: 2)
A\
4x
lAJv'=:
\-/'
?i/-2 -
.vJ
c6 tap xdc dinh
C. l1\,{-1; I
y' = 2xV^'+
r
:D.
y' =
.O clao h;inr f'(0) lh:
s. 1
c.2
J
D.4
r . Dao hlm f'(x) c6 r6p xdc dinh 1I:
R
C. (-co;0) u (2; +m)
D. R\{0; 2i
_&Or ,,
CAuS: Hdm so y = i/';;t' c6 dao hhm I):
Cfiu7: Cho hlm ,d y =^tlT* A.
,
:
C.
,r--- j
+ bx
y' = 3bx'{/a
D. y' =
I
C;:iu9: Cha f(x) ,= x:il;2-. Dao hi\m f'(1; bangi
A."
8
cflu1O: cho f(x) =
A.
I
@:
m
c.2
.
D.4
Dao hhm f'(0) b[ng:
@#
c"
Cau1tr: Trong cdc him so sau
dA1,,
him
v,
so
D.4
nio dring biai trdn cic khoang no xii.c dinhi
,l;
cau12: cho hlm s6 y = (x
2)-t . I{0
:
y" khong phq thut\c v)o r lh:
B.y" -6y'=0
{-.Zy', -3y=0
Q).V"+2y=[)
,D.(y,,)r-4y=0
(;aul3lCho
him so y = x'. f}n rnflnh ctd sai trong c{c ur6nh dd sau:
+
thLlc giiia y vh
;
E. Dd rhi hirm so di ilrra .licrn 1 I : t;
C. Dd rhi harn sO cri hai clu&rg ti6rn ctiii
D. Dd tiri hlrn so c6 rn6t tAm doi xfrng
:
;.
--'teula:
1
Tren cld thi (C) ciia hirm
phucfilg trinh il:
A.v=:x+[
'2
sci
1'= x2 la;r clidrn Mo c6 hoinh d0 x^ = i. Tidp tuydn cita (C') tai didrn N'{.., c6
Cr=
;1.
Ciuls: Tren cl6 thi cira hlm
so
1+t
y = xl-'la1 didm Mo c6 holnh
h0 so s6c bins:
G,;
C.v = nx-x+l
Z"-I-'
C.2n-1
B rn
D.y=
'27-rx+,1+i
?
c16 xn
= 2* .Tidp tuyen cta (C) tai didrn Mn c6
D.3
lOcanir
Caul: Cho a > 0 vI a+ l. Tim monh dd dring trong c6c menh dd sau:
B. iog.l = a vh log"a = C
A. 1og" x c6 nghia voi Vx
O
C. log"xy = log.x.log.y
CAu2: Cho a > 0 vir a+ 1,x i')r y
li
C.
1og"
B.
y
(* t y) = logn x + 1og. Y
loe
""
l=
x
fg:
2
CAu4: 1og, ii
; .1
a'
(a > 0.
lof" x
log. x = logn a.log.
[D,
\_/
c.-
D.2
c.'5
D.4
4
8
1) trirng:
1
(n.-\J3
CAuS:
5
3
a+
B.
J
J
log, {52 bang:
I
-'s
A.
4
B.-
4
5
@;
D.3
CAu6: 1ogr,0,125 b[ng:
- A4
6;'
c.2
D.5
/ .:r,t::fJ\
C5ru7: los. i l1i 11- | brng'
\' '\a )
B. L?
@:
5
q
c.-
D.2
@+
D.5
(c.
1000
D. 1200
c.4000
D.3800
c.50
6,,
5
CAuS: 49to'tt2 bang:
A.2
8.3
-' bzing:
200 ts.400
L
ios, to
CAu9: 64:
A.
Cau10: _10'o218' bang:
fA)+qou
\/,
caull:
oiros:3+3luers
A.25
B.42oo
bing:
8.45
a+ 1, h > 0) bang:
CAu12: u3-21os"b
ac. a'b'
B.
(ry.
Caul3: Ndri iog- 243 = 5 thi x bang:
(a > 0,
utu'
H.^ L
a'b
@..-,3
(x > 0,n * 0)
1
C&u3: 1og. tT bang:
A-l.
x
hai sd dtrong. Tim mOnh d0 dfing trong c6c m0nh cld sarr:
x losx
A. Ioc
aa ---:ry log,
ro*" xn = nlog.
c.4
D.
ab2
D.5
x
'------\
=-4
c&u14: Ndu iog, ztr{i
@#
Ciul5:
rhi x bang:
c.4
B. 12
D.5
3logr(logo 16)+1og, 2 bang:
>\?
B"3
IAI2
\-/
C.4
CAu16: Ndu log, x = llogu9 -log"
A.?
55
Cflul7: Ndu
D.5
I
*
=
+1og" 2 (a > 0,
as
r.1
1og"
5
a*
1) thi x b[ng:
D.3
-5
ua 9 -31og.
l(1ogua 4) (a > 0, a* 1) th) x blng:
2'
A. 2J'
B.
@ u'a'
B.
J'
c.8
D. 16
CAu18: Neu 1og, x =51ogz a+4logrb (a, b >0) thi x bing:
aab'
c. 5a + 4b D" 4a + 5b
Caul9*d{€u log, x = 8*g, ab) -ZIog, a3b (a, b > 0) thi x bang:
A. aob6 (BJ a'b'o
C. a6b',
D. arb,o
CAu20: C}o$2 = a. Tinh 1925 theo a?
4.2+a
8.2{2+3a}
C&u21: Cho lg5 = a. Tinh
tgf
"64
4.2+5a
@r,,-,
tneo at
B. 1-6a
Cilr.Zh: Cho lg2 = a. Tinh
WEitheo
"4
C.4-3a
@
2a-1
a
jt,,.r)
tl-reo a
li:
:
C-Za+3
a+1
Cau25: Lfho log.5 = *; Iog, 5 -= b . Khi ct,i logu 5 tinh theo
A.
CAu26:
OjL
-]a+b
Gii
A. Ztos,(a+b)=log:
C. log,
Cim27: log*
A.E
CAu28: Vdi
c.
-a+b
sri ta c5 h0 thric a2 + b2
=
7ab
a+
a
b-
T
8.1ogo
gi;1
D. 4log,
vl
ulo
6
81 bang:
tri nlo c,ia x rhi bidu
@ o
tirL?c
B.x>2
+bz
Ii dring?(a+bl
.-*')
logu (2x
nghia?
C.-l
=
,i?.
q[+
logr
=togrir+
aL b
',
(drz
a7
8.9
az
@2zlos,+=tos,iu+log,b
b)
+ Iog,
,D.
;'*'*
(a,b > 0). H0 thrlc nlo sau day
a+log,b
Z{togra
,D.2-3a
v) b th:
o rL
=
n a_u.vd-:
4')
ii:
B.u
a-l
ry
fl.6+7a
C.2(5a +
Cau24: Cho log,6 = a " Khi do iog.i8 tinh
1tr.
\,
@o1u-
a?
Ceu23ICho logr 5 = a . Khi d6 logo 500 rfnh theo
A.3a + 2
D. 3(5 - 2a)
i,
i
lD.x<3
- r' -2^) cd nghia: lh:
lpCr,0) u (2; +oo) r'[. (0; 2) u
rri cira x dd Uidu thrlc log, (*'
A. (0; 1)
B. (1; +m)
CAu30: log o 3.1og,36
bang:
al
"V6
,--.1
l;
(4; +m)
= lnu,g', kr1"b
,,\
c.z
B.-?
@)+
D. I
F{A}l So n'rlr - H"cM sd
Caul: Tirn
l0c.,rRir
trcng c6c rnenh
B. Hlrn so y - a' vdi a > I th m*t hlm sd nghich bidn tr0n (-m: +cc)
C. Dd thi li)"m sd y = a* (0 < a * 1) 1*on cli qua didrn (a ; 1)
m0nl',. CB dring
/-\
\-/
II""
;
i.a I
/n.bO thi c6c hirm sdy = a' vI y = i -:
CAu2: Cho a >
l
(0 < a
* l) thi doi xrrng vdinhau qua truc tung
Tim m0nh d6 ssi trqrns cdc m6nh di sau:
A.a'>1khix>0
8.0
Cdru3: Cno 0 < a
< i. Tim menh
dd sai trcrng c:6c m6nh dii sau:
A.a'>lkhix<0
/\8.0
D. Truc holnh li tiOm cAn ngang c&a Cd thi hhm sd v = a'
CAu4:
fim
dfng trong c6c menh dd sa.u:
A. Hdm sdy = 1og, x vcri 0 < a < I 1)rmOt hlrn so ddng bidn trOn kho6'ng (0 ; +cc)
B. H).m s6 y = iog" x v<ri a > 1 lirm6t h)m so nghich bien tr6n khoang (0 ; +co)
mOnh dd
x
*
tip x6c dinh lh R
1p.D0thicdchhmsdy= log"x v)y- lsg x (0< a+I) thiddixfrngv6inhauquatrucholnh
C. Hhm s6 y
=
/
1og"
CAuS: Cho a > 1. Tim m€nh
(0 < a
r1d
1) co
sai trong c6c inOnh'd.i sau,
A. log"x >Okhix>1
B.
1og^x<0khi0
C. Neu xr
(
X.
thi
1og,
x, < 1og, x-
(ry Dd thi hhm sd y = 1og. x c6 tiom cAn ngang l). truc hoinh
.CAu6: Cho 0 < a < lTirn mgnh dti sai trong cdc rn0nh dd sau:
A.iog,x>0khi0
/ --\
(
Q,)Neu xr X, thi log. x, < Log, x,
D. Dd thi hhm sd y = 1og, x c6 tiOm cAn
drlrng
li truc tung
CAuT: Cho a > 0, a + 1. Tim rndnh dO dfing trong cdc m0nh dd sau:
A. Tap girl tri cia hdrn sd y = a- 1)r tap R
gi;i tri cria hhm sd y = logo x l) tap R
/B)'Iap
.L U
\-/
C. T'?p xdc dinh cila him so y = a- li kho6,ng (0; +,:o)
D.T+p xdc dinh cria hlm sd y = 1og, x le mp R
CAuS: Hhrn sd Y = ltr (-^'
A. (0;
- Sx - O) c6 tAp xdc dinhlh:
+co)
Cflu9: Hlm s6 y
=
-2)
ln
B. (-"o;
(rtr;
\/
,B. (1:
^)
/^\
(C. {2; 3)
.O tdp xic dinh li:
0)
+m)
Ot-*r
Ciu10: Hhm -so y = ln !t - sl,, xl c6 tap xdc dinh th: A. (-co;
-2)
D.
v (2; +co)
(-*; 2) u
(3; +co)
D. (-2;2)
xt{;. kzn,kez\
$
Ciull:
sd, =
Hhm
C*u12: Hlm
A.
sd
B. (0;
+oo)
CAu13: Hhm sd y
(d
=
log,G
+o)
A. (6;
CAul4: Him s0 nlo du6i
ro,
li:
+i
c. (o;
D.R
+co)
.O tap x6c dinh 1):
fr
+co)
B. (0;
@(-*; ei
dAy ddng bidn tr6n tdp xdc dinh ctra n6?
/,r \x
s.v=l1l
' lal
A.y = (o,s)^
D. (0; e)
C. R
y = 1og, (O^:,*') c6 tap x6c dinh
t2;6)
@r= (Jt)'
\-,/
D.R
D-y=
A.y=logrx
B.y=logrrx
r:^ ('t\&
Cflul7:
@
C. n"
nlo durii dAy ttri nho ho'n 1?
rog, (o,z)
B. log, 5
sd
V' =
y=
(*' -2x+2)e'
x2e'
B.
y' -
cd dao
-2xe"
C.
Ciu20: Cho f(x) =
9--{.
Dao
2
44
B.3
(riJ:
-e
H}n so f(x) = 1u
@'
CAu23: Cho f(x) = ln
1
x
(*'
c1+
x*
@r:
(92
I
f'(l)
+ 1) , Dao hirrrr
(ry:
1
il4u26: Cho y
ln
--L
. Fle thri'c
bzing:
r J +l
c
t'o'i
c3
ci'iir
D.4
biing:
l
C*u25: Cho f1x; = Inltanxl Daohlur,
A.
D. Ket qui khfc
c.3
C*u24: Cho f(x) = ln lsin lxl . Dao he*
r,
A.
D.
c6 dao h}m th:
tn*
B.
A
c."
e
]l1
xx
_l+
x'
-'2)e*
1},r f'(0) beng:
c2
r:?
^1
A.-
y' = (Zx
D.6e
Cdu21: Cho f(x) = in?x. Dao hlm f'(e) bang:
A.
D. 1og.9
e
:
'@"
41
\./
en
him ti:
:.". D+o lilm f'(1) bang
Cfin19: Cho f(x1 = !rX
C.4e
{JAu22:
,D.y=lognx
D.
C. logn
".]
3
Ciu18: Him
@
u (Ju )'
t;l
Sd
OV=log"x
/ \x
IC\
t_l
[
CAu15:H}rms6n}odu6idaythinghichbidntr6ntAp-x5cdinhciian6?
t9
)
k€zl
li:
c6 tap rdc dinh
al;
[d fo; +m\ {e i
(*
c. R\tt*u",
R\ {x+kln,ke Z}
B.
D.4
[;)
biing:
D.4
vh
kh6ns
D. Ket qui kh6c
D.R
(!V +e)=0
A.Y'-2Y
Cilttl7: Cho f(x) = e'''l-. Dao-hhrn f'(0) bane:
(s)z
A1
Ciu28: pho ftx; =
c"i
c.2
,1"t
C*u29: Cho f(x) =
A.2
@
C.2ln2
rnZ
c.2
B.l
-1
Ciru3l: H)nr
so
D
3
2;r. Dao hlm f'(0) bang:
cau30: cho f(x) = ranx vd rp(x) = ln(x - i ). Tinh
A.
D4
Dao hlm f'(0) bing:
scosrr .
@o
D.y'-4eY=0
CYY'-2=(]
r'( o)
. Drip so cfra bhi to6n llt:
--:l;
a'(0)
D- -2
*'uir -- 1j c,rr.]ao hlm f't0) l):
ltx) =-ln(^
A.o
D- Ket qui khdc
c.2
Gr
D.3
Cfiu32:pho f(x) = 2'.3". Dao him f'(0) bang:
(!,1n6
B.
1n2
C. ln3
D.1n5
-n(q +,hr)
CAu33: Cho f(x) = x'.n* . Dao hhm f'(1) bang:
C.
B. r(l + lnn)
A. n(1 + 1n2)
r + sin x
cau34: Hhm st5 y = ln lcos
| .o ouo hirm bang:
nlnn
D. xzlnn
icosx-smxl
(A.i
\_./
B.- 2 -
2
cos ^
Lx
CAu35: Cho f(x) = 1og.
(x'+ 1). Dao hhm f'(i)
-1
(a.t
\n2
CAu36: Cho f(x) = igt
bang:
c.2
B. 1+1n2
V
^
-+,
.
D.4Ln2
{}ac hlm f'(10) l;iinl:
(8,' '*
A. In10
D. sin2x
C" cos2x
sin 2x
I
-5
ln 10
c. lu
D. 2 + 1nl0
Ciu37: Cho f(x) = c' .-D4o ham cap hai f'(0) biurg:
D.4
A. 1
Ciu38: Cho f(x) = xt ln x . Dao h}m cap hai f^le) b21g:
c.
A.2
(D.5
tri
tai
didrn:
dat
cuc
xe-*
so
f(x)
CAu39: Hhm
=
A.x=e
@:
c.3
8.3
4
tl.x=e'
Ciu40: II)m sd f(x) = x' ln x dat cuc tri tai ditim:
A.x=e
B.r=
nG
D.x=2
0,=,
_i
C.x=U
= e" (a;e 0) c6 dao hirm cdp n lir:
C. ,(')
B. y(") =a"e'*
A. y(n) -"u*
:,!e"
y = lnx c6 dao hl'rn c{p n l}r:
n!
^ y'(n)
'
B. y(') =\-rl
I}.y
A.
a.Y'=x
=
c. v'"' -;;
\'.y
=
CAu41: H)m sd y
D. y(') =n.e"*
CA,u42: Hdm s6
=;
(-l)n.'g+
_l
lf
D' v(') =
v'r
#
CAu43: Cho f(x) = xte ^. bat phuctng tlinh f'(x) 2 0 c6 tAp nghi0m th:
(B; t0; 2l
D. Ket qui kh6c
C. ( 2; 4
A. (2; +co)
thfrc rtit gon cua [,= ]'cos,\ - yinx - y" la:
C6u4zt: Cho ftirm s6 y =
"'"'')Bie,,
B.2e'i"^
A. cosx.e'i"*
g'o . ,." . o^,t CAu45;D6 thi (I-) cfia hhrn so f(x) = lnx cit truc hoiir--ih tai didm A, tidp tuydn cira (L) tai A cd phuong trinh l}:
[Ay=x-t
\--)'
B.Y=Zx+l
C.Y=3*
D'Y=4x-3
rnixu
pHtJoNG
ilf,ul: Phumg trinh
=L6
43*-2
ivru vA pHUoNG rniruH
cd nghiOm th:
@*=1
3
A.x=*
4
Cf,u2: TAp nghiOrn cria phuorrg trinh: 2*'-'-o =
A.
o
B.
r,Ocanfr
l2:4]
@
{o;
c3
I
I6
D.5
le,
r}
n. {-z;z}
Cflu3: Phuong trinh 42**3 - 8o-* c6 nghiem l):
/^'\6
(A.):
'---'z J
B.
I
:3
4
I5
c.
D.2
( ^t.;\-"
CAu4: Phuong trinh 0, 125.42'-i = I
.6 nghidm lh:
+ I
(.8]
"
^
(d.e
A.3
8.4
c.s
Cflu5:!\gong trinh: 2' +2*t +2*-7 -3r -3x-r *3V e6nghi€m Id:
(4i2
B. 3
c.4
D. s
CAu6:
tr)nh: 2r*-6 +2^-= = L7 c6 nghiem l):
!\.u*g
8.2
@)-3
C&u7: TAp nghi€m cria phuong
a. {z;
+}
c.3
trinh:J'-1
+ 53-'* =
s} @p,:y
n. {:;
r'\-/
Cflu8: Phuong trinh: 3{+ 4* = 5^ c6 nghi0m
A.
1
D.s
@.2
3
c.
26 li:
D. @
li:
D.4
Cfiu9: Phucmg trinh: 9' + 6* = 2.4* c6 ngtri€m Ih:
A.3
8.2
c.i
(D)o
\-/
Cflu10: Phuong trinh: ? = -x + 6 c6 nghi€m ld:
A. 1
(9.2
c.3
D.4
CAull: X6c dinh m dd phuong trinh: 4* -2m.2*
A.m<2
CAutr?: Phuong
A.7
B.-2
8"8
C&u13: Ph*ong trinh: lg(5 4
A.
C&ulS: Fhir
A.o
co nghiem th:
ro
D.4
i:x - Z) = 0 c6 rldv nghiclm?
D3
@)
tlinh: [n(r * 1)+ln(x +]) -- hr(x +7)
cz
Gl. I
D3
r
A.24
Phrrcrng
@,1
@:
c.z
Cfru16: Phuong rrinli: log, x + log, x +- log. x =
Cfrul7:
D.me
I
-"xt) = 31S* c6 nghiem li:
C&uL4: Phucrng tr'inh: ln x + ln
A.o
A cd hai nghi€rn phAn biet? Ddp 6n tI:
C.m>2
C.9
8.2
1
+ rn + 2 =
ts.
36
c.
trinh: krg, x + 3log,
s}
45
2=
1l
c6 nghi0m
@ uo
4 c6 rAp nflhi0m
ii'r:
li:
r. {+; :}
c. {+; io} D. q)
CAu18: Phuong trinh: 19 (x' - 6x+ t) = fg (x - :) c6 tAp nghi0m th:
n {:; +} c. {+; s}
D.O
@tir)
la
C&u19: Phuong trinh: . i
+ -- =-- = 1 c6 t6p nghi6m li:
(ry. {z;
4-lgx
2+lgx
(D
@ 1ro, rool
n. {t;:o}
{to;
{tc;
.
Do
{*','}
Cf,u20: Phrrcrng trinh: x-2*rog' = 10[]0 c6 tip nghi€rr l]r:
r lr
I
zo}
r.
too}
/ C. 1-: 1000 !
a.
w ltO
D.@
)
C&u21: Phuong trinh: iog" x + iog* x = -? c6 tAp nghiOm lh:
c. {z; s}
@tot
B {3}
A{3}
(yVl
C6;u22:. Fhuong trinh: 1--og, x =
D.
rt;
-x + 6 cti tAp nghidrn ih:
c{z:s}
DCI
^
. - HEPT{LIoNG rRiNH ntfi vi leicenir
l). )'--6
*I
Caul: I:10 phuong tiinh: l;-:: o:' vdi x > y c6 mdy ngiri6m:' x' - sK
\L
-L)
/'
8"2
c.r
cau2:
CAu3:
Fle phuong
tri'h:
a)
A
(3;
I-16
phuohg tr)ntr:
i)
B
eAus:[i0phuorrgrr;*,
(a;
a. (roo;
*
[4'*" 16
17^+y =4
-3)
tri"h,
-
:)
a
(::
a.
(4; +), (r;
(zo; t+)
(+: +)
D3
z) o (s; -:)
g,i(r;
uoi xzycongiriem
]:*t:7
+lgy:1.
t)
_ Q(s;
llsxv=5
_'.rr, = 6'tai
n. (soo;
iil
z)
a
@. t+,
z)
c
s)
B. (2,
ia']
D. Kdt qua kh6c
)'y cd nghiern
+)
=-20
C0u9: He phuong tri,,t,'
o
nghiOm th:
.' yt
rrinh:
,)
92
".,,,1
- =O.j
1.,:+
I ^,
(+:
D.0
c6 may nghi0m?
]
n. (o;
ro)
He phuong
a.
@)(r'
v
l'x+2v=-l
[trgx
:)
CAirS: FIo phuong
ciu7:
3)
L'
G
c6 nghiem th:
1*. _ u.r, +z = a
BI
CAu4: H0 phuong trinh:
a.
i3t''-2'=5
B. (rr
Ao
e. (z;
c.3
=
@
lb?
irooo,
,oo1
,
'D Kdrquikhdc
^ v6i x z y c6 nghiem lh:
llogrx+log,y=3
{:t
{*
-'
(:v?: .,i: )
+),(zz:o+) c. (+' 16). (s: i6)
U
,
D. Kel quri kiidc
i.ln x + 1n y = 31,,6
,,,fu,J(o'
t),(z;z)
t6 *ghi€m ld:
n. (tz; o)
-= 5^
c' (s; z)
.6 nghiorn l)
caur0: rre phucrns rri,.,n, {31t
11"
[4lgx+3lgv=18
(b)
I.'
t'
qrr;
iz;
*--{
a.
(roo; tooo)
c.
roo)
@ioco;
D. Kdt qui khdc
(so; +o)
s{r pHU4Nf rRiN.H MU vA l0cnnir
CAul: Tap nghiom cua bdt phuong rrtnn' [-f ]^-'
\2)
a.
r)
(o;
" [,'il
\,4)
(z;s) r. [-z;r]
cau3: Bat phucrng
^
*,"n'
\2)
. LJr)'
@)
c6 tflp nghiern 1):
[-r':]
,
D. Kdt qui kh6c
c6 tap nghiem
[])" [;)*
B. [*.o;2] c. (o; 1)
/\
Q!. [t; z]
D.
CAuS: Bdt phuong
+)
trin!: 9- -3^ -6
a. (r;**)
Ciu6:
fft
(.d
<
1):
@
(-*, r;
B.
(1;+"o) c. (o;r) n. (-i;r)
phuong trinh: 2- > 3'c6 tip nghi0m
(-*;o)
@
@ (-*'log,3)
0 c6 tflp nghi0m
c (-t;i)
l]:
li:
Cflu4: BAt phuong trinh: 4^ <2'-' -r3 c6 tAp nghiOm
a. (t;
n. (z;
c. (tog, 3; 5)
:)
,u'
c (2;+.o) D. (-.o;o)
(D
Ciu2: Bdt phuong trinr,' (JI)*2-2*
a.
. [-f l'
D. Kdt qu6 kh6c
lI:
t
a,rrrn' {],.,.t>27-;, c6 tflp nghiem li:
l3o..r
A. [2: +co)
Zl C. (-co; I ] D. 12; 5l
@f--Z;
C&u8: BAt phuong trinh: log, (:x - Z) r log, (e -:x) c6 tAp nghiem l):
CiuT: Hc
bdr phuong
CAug: Bdt phuong trinh: logo (x +-7) > 1og, (x + 1) cd tip nghiem
a.
(l;4)
(s;+"o)
B.
Cf,ult): Sd gini bat plutong trrnh:
Budcl:DiduL16n,
@t-r;zs
A>o e [.'?
x-l
Budc3:
1v
'^
x-l
In
1)
I
ln il, , O i*). mot hoc sinh lap luAn qua ba brrryc nhu sau:
;t_l
Lx>l
Budc2: Ta c6
D. (-m;
li:
1u
> 0 <+
tZ)e2x>x 1ex
-
ln '^
x-l
>
,r,
lnl
1u
e 'n > | (Z\
x-l
>-1 (3)
Kdt hqp (3) vh (1) ta duoc
[-1
I.
|
L^rl
i'
V4y tQp nghi0m cira bat pirucrng trinh ii: (- i; 0) ur ( 1 : -.,-:r ) i
Hoi lAp luAn tr0n dring hay sai? Neu sai thi sai tk brrdc nao?l
-ts.
..\. L4p luan hoin toin cLing
Sai tir budc I
C. Sai tt budc .bfton'o* - 4) < log' (x +
Cflull: Hc bat phuong trinh:
c6 tin ,nr,rci,o ta,
,
1)
I ""
@ t+; -:t
B.l2;41
C" (4;
+"o)
D. O
@
s^i tii budc
3
