Sở phú thọ 2023

KHAO SAT CHAT UJ'QNG HQC SINH
Lffi> 12 THPT NAM HQC 2022-2023
M6N:TOAN

Mi 4~: 101

Thin gian lam bai: 90 phut, kh6ng id thin gian phat di
Di /chi,o sdt cO: 05 trang

Ciu 1: Dien tich m~t du c6 ban kinh R = 2 biog
A. 16.

B,

16

3

.

16,r
D. - .

,C. I61r.

Ciu 2: Cho ~P hqp .4 gbm IO phful tu. s/; ~P con c6 3 phful tu cua A bing
A. 31'.
B. A;,.
C. I 03•
,Ciu 3: D~o ham cua ham s6 y = 3' Ia

3'
, p,y'=-.
lo3

C. y' = 3' In3.

Ciu 4: Phuong trinh ,Mmg tiem c~ ngang cua d6 thi ham s5 y =

c;',.

la

x+l

A. x=-2.
B. x=-1.
C. y=2.
, D. y=-2.
Ciu 5: Cho kh6i n6n c6 ban klnh day bing a vil chiilu cao bang h. Toil tich cua kh6i n6n da cho bang
,c.C. 41ra2h.
D. a1h.
3
3
Can 6: Trong khong gian Oxyz, m~t cAu tam I(-1;-3;7) vii ban klnh biog
c6 phuong lrlnh la

v
r

B. '1fa1h.

tra2h.

A. (x-1) 2 +(y-3)'+(z+7)2 =5.

B.
2

2

2

C. (x+ 1) 2 +(y+3)2 +(z-7)2 =
-11). (x+1) +(y+3) +(z-7) = 5.
Ciu 7: Trong khong giao Oxyz, dulmg thing di qua diilm M(3;-2;1) vii nh~ vecto ii =(1;-3;4) lam vecto

chi~hu{:=~:~,::ong lrl:~am{/~; 31
z

=4 + t

C. {:: ~;: 3,.
z

z = I+ 4t

f

f3f(x)dx bing

0

0

Ciu 8: Cho J(x)dx =-2. Khi d6
A. -~.

==

D.

l::
z

I + 41

!'21.

=4 + t

,c. -6.

B. 6.

2

Ciiu 9: HP nghiem cua bftt phuong lrlnh log, ( x-1) > I Iii

"D. (3;+00).

A. [1;3).
B. (1;3).
C. (-oo;3).
Ciiu 10: Cho ham s6 b~c b6n y = J( x) c6 bang biilo thien nhu hlnh ve.
,I

+

0

+

• + ~ _3 / -z'----...,_3/,./~
Ham s6 da cho d6ng biiln tren khoilng nilo duoi diiy ?
A. (-oo;-1).

18. (l;+oo).

C. (O;+oo).

D. (-1;1).

Ciiu 11: Trong khong gian Oxyz, cho vecto a= (-1;2;-1). El(, dai cua vecto ii biog

.fi..

B. 2.
Ciu 12: Khang dinh nao sau day dung?
A.

,A. f-',-dx=-tanx+C.
COS X

C. J-\-ctx=cotx+C.
COS X

C. 6.

m.

1
i;B. J -2-dx=tanx+C.
COS X

D. J-\-dx=-cotx+C.
COS X

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•
/2

13: Tfpxacdjnh D cilaham s6 Y =(x-2)3 hi
A. D=[2;+«>).
B. D = (-«>·2]
u 14: Cho Mt phll'Ollg trinb ,
', .
,c. D=(2;i«>).

D. D= R\ (2}.
4 -2°-8'
'
phtrong trinb nao duoi da ?
> O. Neu dJI 1 = 2 (1 > 0) thl Ml phuong trinh d! cho 1rir lhanh
y.

2

A. I -/-10>0.
B. , , +2t-8>
2
Ciul5:Chos6phircz=3-2i s6 . 0;
,c., -2/~8>0.
D.,'-t-8>0.
1A. (3;-2).
B. (J: ).phuc hen hqp c~a z_c6 diem bieu di~n trcn mJI phAng t9a d(I IA
2
Ciu 16: Cho cA ,6 CQ
• ( J,- 2).
D. (-3:2) .
06
P
ng (u,)
•, =3 vA u, =6. Congsaicuacips6c(;ngd6bling
1
A. 2·
jJI. 3·
C. !.
D. 2.

3
Ciiu 17: Cho ham ' - ,
,
soy-ax +bx +cx+d(a,b,c,del!)c6di\thjnh11hinhv!.

iJ· I

Gia lrj cuc ti!u cua Mm sci d~ cho bAng
•A. 0.
B. -1.
Ciu 18: Gia lrj ln(9e) bing
A. 3ln3+1.

B. 21n3.

-+4L
c. 4.

C. JlnJ.

D. I.
,J). 2lnJ+I.

Cliu 19: S6 giao diem cua dtrcmg thAng y = x + 2 vA dtrcmg cong y = x' + 2 IA
A. 0.
B. 2.
IC. 3.
D. 1.
Cliu 20: Ptu\n ao cua s6 phirc z = 2 -Si bing
A. 5.

B. -Si.
C. Si.
I D. -5.
Ciu 21: Cho li!ng tr\l lam giac ABC.A'B'C' c6 di~n ttch day b!ng Ja', chiAu cao b!ng a.
khOi li!ng tr\l dA cho bing
A.

ia

3

.

~-

3a

3
•

C.

1
0 •

D. 4a

1

Toe tfch cua

.

Cliu 22: Cho khOi ch6p S.ABCD c6 day ABCD IA hinh vuong c'1}h a. Bi!t SA vuong goc v&i day vA
SA= Jr,,,. Tht tich khOi chop S.ABCD b!ng
A.

B.

i C,

4 ·

D.

4

./6a'.

Cliu 23: Trong khling gian D.,yz, cho hai diem A(4;0;1) vA B(-1;2;3). MJ1 ph!ng trung lf\lO eua do(lll
thing AB e6 m(II veela phap tuy!n hi

A.;;; =(3;2;4).

Ciu 24: Cho eae s0 thire

;B,

ii; =(-5;2;2).

C. ;;; =G;l;2).

D. ii; =(-3;2;3).

a, b( a < b), Mm s0 y = f (x) e6 dao ham lifn lire lrfn R. KhAng djnh nAo sau day

dllng?

•A. jf'(x)dx=f(b)-f(a).

B.

jf'(x)dx=f(a)-f(b).

j f(x)dx = f'(b)- f'(a).

D.

j f(x)dx= f'(a)- f'(b).

C,

Ciu 2;: Cho hai sA ph\Ic z1 =4-5i vA z2 =-2 + 31. Khi d6 z1 1;- A. 6-8i.

B. 2-2i.

C. -6+8i.

Z2

bing

D. -2+2i.
Trang 2/5 ~Mild! JOI


iu 26: Cho barn sb y = f

(x)

c6,~:bian thi:n ohu hlnh v!.
+oo

'

+o-o+o

-

/

Sb nghiem th\lC phin bi~t cua phllODg trloh
A. 8.
B. 5.
Ciu 27: Uy ngiu nhien 3 vien bi tlr
c6 du ca hai mau bing
,
H
9

A~

3lf(x)l-5 = 0 la
1
C. 6.
D. 4.
d\ffig 5 vi@n bi d6 va 7 vien bi xanh. Xac suit df Iiy duqc 3 vien bi
H

9

c.~

a~

a~.

J

Ciu 28: Cho ham s6 y = x~ - 4x. Ham sO dA cho dbng bian tr@n khoang nao duoi d!y ?
1 A, (--«>;0).
B. (--«>;2).
C. (2;+«>).
D. (4;+«>).
Ciu 29: Cho hlnh ch6p tu giac dSu S.ABCD c6 day ABCD la blob vuong
(tham khao hlnh vij.

2a,

£};).

B

C

K.hoang each giila hai dlIO!lg thang AB va SD bi.ng
A

..,,a.

B.

../3a
2·

hen bi.ng ..f3a

fC.

Fla
2' ,J,

.n

j';,c .2.1},zq_'.l,t

~ € ! M(i)-5) 1Am9t ~

-r 6 ....::,_o

•

d6thjhams6 y=f(x)=x'+ax'+bx+J. Giattj f(2) bilng
B.-21.
C.3 ...&,_-{ }j ;c-~~ -15. Ciu 31: Trang khong gian Q,yz, cho hai vecto a =(1;-2;-1) va ii= (2;1;1). Gia tri cos( ;;,ii) bang
A. -

.J?,.

e. .J?,.

c. _.!,_ 2 't., +6

"D.

.!..

.r.::,(\"l { r .£

12
12
6
'
6
I'
v
Ciu 32: Cho blob phang ( H) giai h\lll b6i df> thi ham s6 y = I- x' va lr\lC hoaoh. Toi! tlch kllAi tr6n foay
dUQ'C 1',o thanh khi quay ( H) xung quaoh lrl,lc hoaoh bi.ng
-,, y
, e.16ir_

c.~.
D.4".
15
15
3
Cliu33:Cbos6phfrc z th6ami!n 2z+l+i=(5-2i)(l-i). Moduncua z bi.ng
A.

4

3'

A. Jo.
B.
C.
f D.
Ciu 34: Cho hlnh chop S.ABC c6 day ABC Ia tam giac di!u c\lllh 2a, SA vuong g6c voi day va SA= ..f3a
(tham khao hlnh vf).

Goe giila ducmg than~ va m~t phang (SBC) bang
A. 30°.
60°.
, C. 90°.

D. 45°.

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iu35: HQtitc!.cac nguyen ham cua ham s6 J(x)=x(x' +3)' hi

i-A. ½(x' +3)' +C.
/

Ciu 36: Cho ham

B. (x' +3)' +C.
sb

y = f ( x)

C. ½(x' +3)' +C.

khong Am, c6 dilo ham

D. ...!...(x'+3)' +C.
12
tren dQJll (1;2] va th6a min

f

/(1) = I, [ 2/(x)+ I- x']f'(x) = 2x[1 + /(x)] voi \Ix e(1;2] . Tfch phan f(x)dx bing
I

7

2

8

a~

c.i.

I

a~

Ciu 37: Trong khong gian Oxyz, cho mtt phing (P): x+ y+2z-l = o va ditm A(2;1;5). Mtt ph!ng (Q)
song song voi (P) va cit cac tia Ox,Oy !An luqt 1'i cac diem B va C sao cho tam giac ABC c6 di~n tlch

bing -- . Khoangcachrud1em
.
• .,
,
,
M(2;3;3) den (Q) bang
2

'6.
" 0

2

B "60
• "

C g.,/6

•

'

3 .

D.

7

../6.
6

EJt phuong trinh di cho c6 hai nghi~m
phan bi~t x,, x, thtla min ( x, + 2) ( x, + 2) = 5 thi giA trj cua tham s6 m thuQC khoang nao duoi day ?
(21;22).
B. {23;24).
C. (19;20) .
I' D. (20;21).
Ciu39:M9tkh6in6o (N) c6bankinhdAybing R vacbitucaobin& 15, duQclambingchfilli~khdngth&nnuoc.
c6 khai Iugng rieng 16n hon kb6i lu,;mg rieng cua nuoc. Kh

cAi cbc hlnb ll1I duimg kinh bing
4R, sao cho dAy cua ( N) tit]' xlic vai dAyctia r;/;c (tham khAo hinh v~. EX> nuoc vao c6c dtokhi muc nuoc~t di) cao

Ciu 38: Cho phuong trinh 9' -(m+4)3' +9=0 (m la tham s6).

..."..,... ,,...-~--~""''' ....
1~~-

4

c.~.

B. 235.

4

4

D. ~ .
4

Ciu 40: C6 bao nhieu ,A nguyen x th6a min [log, (x' +x + 10)-log, (x+20)-1 ](s1 -r') > 0 ?

ali

c.~

an.

Ciiu 41: Cho pbuong trlnh z' - 2mz+ 6m - 8 = 0 voi m la tham s6 thµc. C6 bao nhieu giA trj nguyen cua m
d€ phuang trinh c6 hai nghiem ph\Ic phan hiet Z1, Z2 th6a mAn Z1,li = Z2,Z2?
A. 2.
B. 4.
~C. I.
D. 3.
Ciu 42: Cho hamsO "''ba y = /(x). Bi!tham s6 y= f'(5-2x) c6 d6thi lam(itparabol (P) nhuhinbvt. C6
baonllieu gia tri nguyencua !ham s6 m 4€ ham s6 y = f(x' +x+m) nghich bi!n tren kboang (1;2) ?
y

A. I.

>B, 2.

C. 3.

D. 4.

Trang4/5 -Mad! 101


iu 43: Tich tit ca cilc giil ttj nguyenc
• lia thamso, m thuÂcdo(Ul [-3;3] dedulmgthAng
. y=x+m cAtd6
ã

h' ham '
2x-3 t~t. hru. diem
., phin biet c6 hoanh d(i duong bing
I
so Y =
/

'

A. -5.
yi B. 2.
C. 6.
D. -3.
Cliu 44: Cho kh6i !Ang lr\l tir giac d~u ABCD.A'B'C'IJ c6 C(Ulh day bdng a. Biet khoang each tir B' dtn mJt
phdng (A'C'D) bdng

f·

Tuel tich khdi !Ang tr\! da cho bdng

N

f ~N
-2-.

B. -6-.

C.

N

Ji.a'.

Ciu 45: C6 bao nhieu gia ttj nguyen clia tham

D. -3-.
5/,

m thuOc do(Ul

de! ham s6

[-2;3]

Y = x' - ~( 2m - 3) x' + m+2 c6 eve d(li va c~ ticlu d6ng th6i hoanh d(i dielm eve ticlu nh6 hon 2 ?

B. 3.

5.

7'C. 4.

D. 6._

,,+ 4 +3'1,; I. GQi M,m !An luQI la

Ciiu 46: Cho,/, phirc z =x+ yi (x,y e R) th6a man lz-3-2il,; 5 va z-3+2,

gia tri Ion nhAqia trj nh6 nh4t clia biclu thirc P =x' +y' +Bx+ 4 y +5. Khi d6 M +m bdng
A. 4.
B. 6.
-(. 36.
D. 32.
Ciu 47: Trong mJt pbing Oxy, gQi (HJ la~ hQP diSm M(x;y) th6a mAn x' + y' =k(lxl+lrl) v6i k la
,/, nguyen duong. S la di~n tich blnh phdng gi6i h(Ul b6i ( H). Gia trj Ion nhit clia k de! S < 150 bing
A. 4.
B. 5.
C. 7.
t D, 6.
Clio 48: C6 bao nbleu s6 nguyen duong a (a,; 2023) sao cho 1/;n 1<1i s6 thvc x thoa mAn
x(lna'+e')se'[l+ln(2xlna)]?
A. 2020.
B. 2019.
;.c. 2022.
D. 2021.
Ciu 49: Trong khong gian Oxyz, cho hai diSm M{1;2;-2) va s(-1;4;3). MJt phdng (P) di qua M vit cit

cac tl'\I< tQa d(i Ox,Oy,Oz !An luqt lsli cac diclm
clia khOi ch6p
A. 162.

S.ABC

bdng
B. 81.

A,8,C

sao cho M la trvc tam clia tam giac

C. 45.

ABC.

Tuel tich

D. 27.
2
= Y + = .:..::.3. va mJt phdng
2
-I

Ciu SO: Trong khtlng gian Oxyz, cho dulmg thdng d: I
(P):x+y+2z-8=0. Tamgiac Al£c6 A(l;2;-2) vatrQngtam G niintren d. Khicacdinh B,C di
d(ing tren ( P) sao cho khoang each tir A tai dulmg thdng BC ~t gia tri Ion nhA~ m(it vec tc, chi phuong
ctla duong thing BC la

A. (16;-10;-3).

B. (3;-1;4).

C. {4;-2;-1).

D. {1;2;0).

--HtT-Can hp coi khao sat
giai thich gi th;m
HQ va ten hQc sinh .. . I. i ...... .§ .. .. t .......... sl, bao danh .. . .

M~ng

$iiiiii ......

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