Math 12 ( VietNam ) high school, Lecture notes of Mathematics

About math 12 in high school VietNam

Typology: Lecture notes

2023/2024

Uploaded on 06/07/2026

an-truc
an-truc 🇭🇰

1 document

1 / 6

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
sd crAo DUc vA DAo rAo
rnArvspn6cAnrno xrtu rna cu6r xt u t,6t tzcDTHPT
xAungc: zozt-2022
Bii ki6m tra: M6n Todn
tra cd 06 trang) Thdigianldmbdi: 90 ilt, ka thdi ptuit di
Hg vi tGn hgc sinh:
Sd bdo danh:
Bdi kiim tra glm 50 cdu (tt cda 1 illn c&u 50) ddnh cho tdt cd hgc sinh.
CSu 1. Cho ham s6 s -- !(a) li€n tuc trOn [a;b]. DiQn tich hinh phing (1{) Crdi hen bdi dO thi hdm
s6 y : /(r), trpc hoanh vd hai tludng thdng n : &, t: b du-o. c tinh theo c6ng thrlc
a s:_[ dr !
B, S: /(r)do.
t@l
c. s:"{lt{dl'a,. D. s: /li(,)|d,.
b
Ciu 2. Trong khdng gian Otgz, duong thing <li qua diAm ,4(-2; 3;5) vi w6ng g6c vdi mgt phing
(P) : c - 2y + 2z * 1 : 0 c6 phuong htnh lA
A. B.
r =l -2t
v -Lz+lt.
z -2*5t
x = -2 *t
y -3-2t .
z:5 *2t C
r-2*t
y = -3-2t.
z:-5*2t
t: -l-2t
y =213t
z:-2*5t
Clu 3. Trong khdng gian Oryz, phuong tinh m{t ph.ing <li qua hai di6m ,4(- 1;2; 3), 8(t;4; 2) vi
vudng g6c v6i mEtphing (P) : a - s + 22 +1 : 0 lA
A.3r*59*z-10:0. B.3o-5y-42+25:0.
C.3a-g-22*lL:0. D. 5c- 3y -42*23:0.
CAu 4.Trurgktdng gjm Oxgz, mQtvecto$rdptry6ncriam{tphing (P) : 3a -2y *22 + I = 0 cotga
@B
A. (3;2;1). B. (3;-2;2). C. (3;2;2). D. (3;-2;1).
Ctu 5. H9 nguy€a him cuahAm s6 l@) : re' A
lr" re" -e'+C. B. m'+e'+C.
C. -m" *e'*C. D. -w'-e'*C.
CAu 6. Trong kh6ng gian Ocgz, phuong tdoh cria m{t ph6ng di qua di6m M(Li2;0) vi c6 vecto
ph6ptuySn fi: ( ;0;-5) h
A. 4r- 5y *4:0. B.4t-52 +4:0.
C,4s-5a -4 - 0. D.4u-52 -4:0.
Ciu 7. Cho him s6 f1"; lA mgt nguy€n him crla hAm s6 11r; va C lA mgt hdng sti. trlqnl dA nao
du6i tl6y iltng?
A. F'(x): l'(a)+C. B./(,): F(t)+c.
1,)+ cl' : t@)
F
c. r(o): l@)+c. D.
To6n THPT - Trang l/6 - Me de 103
MndT,lod
6
D
D.
pf3
pf4
pf5

Partial preview of the text

Download Math 12 ( VietNam ) high school and more Lecture notes Mathematics in PDF only on Docsity!

sd crAo DUc vA DAo rAo

rnArvspn6cAnrno

xrtu rna cu6r xt u t,6t tzcDTHPT

xAungc: zozt-

Bii ki6m tra: M6n Todn

tra cd 06 trang) Thdigianldmbdi: 90 ilt, ka thdi ptuit di

Hg vi tGn hgc sinh:

Sd bdo danh:

Bdi kiim tra glm^50 cdu (tt^ cda 1 illn c&u 50) ddnh cho tdt cd hgc sinh.

CSu 1. Cho ham s6 (^) s -- !(a) li€n tuc trOn (^) [a;b]. DiQn tich hinh phing (1{) (^) Crdi hen bdi dO thi hdm

s6 y^ :^ /(r), trpc hoanh vd hai tludng thdng n :^ &, t: b du-o. c tinh theo c6ng thrlc

a s:_[ dr

t@l B,^ S: !/(r)do.

c. s:"{lt{dl'a,. D. s:

/li(,)|d,.

b

Ciu 2. Trong khdng gian^ Otgz, duong thing Ciu 8. Trong kh6ng giaa^ Oqz,, khoang c4ch tu diiim M$;a;5) itdn mit phing

(P) : 3c - 4y *L2z-14 :^0 bang

A. B. B. 6. c. 85.^ D. 53,

13 13 Ciu 9. Hq nguy6n him cua hd,rn sti (^) 71r; (^) - l-^ ra fr

r -rnlzl+c. n. -)+c c. +c.

Ciu 10. H9 nguy€n hdm cua ham rO (^) /(r) :^ 3a2 + 2s + 1 lit A.323 (^) + x'+s+C. B. (^) o'+r2 (^) +0+C. c. (^13) +a2 +c. D. n3 (^) +2i2 ]-a*c !

Ctu lt.Gi6tri ,Jcua fccoscdo bang

0

a.I+r. r.1-r.

Ciu 12. M6tlun cua s6 phhc z - -3 + 4ri bing

A.1. B. \F.

Ctu 13. NghiQm cua phuong tdnh z' - 2z + 5 :^ A h.

A- -2+i vd -2-i.

C. -1+2i vit -t-2i. )

n. ulcl+c.

r*l D 2

D.25.

2

c. 5.

8,2+ivd2-i.

D. 1+ 28 vit I (^) -2i.

Clu 14. Trong kh6ng gian Ocgz, phuc.ng trinh nio duoi tl6y li phuong trinh m{t ciu?

A, * +y2 +222 -zr-2y-22-l-a. g,^ *'+u'+22 -2r-29-22-r-0.

g.r' +u' +22-2r-2y-22+3:0. a.r' +a'

-z' _^ 2r^ 2y-22-l:0.

Ciu 15. Cho hAm s6 y: /(z) li6n tgc tren [-2;2] vd c6 d6 thi nhu htnh v6 Mn dudi. Gpi g ld

diQn tich crla hinh phang tluo. c ct,ri h?" bdi dd ttri hdm s5 y = /(c), truc hoantr vd hai rtuimg thing

x :^ -2rx :2.

Menh da ndo dudi d6y tilmg?

l

^.s-lt(t)ar+Jf(t)ax.-2 I

l

c. s - -l t(n1 ax +

[ t@)^ dx.

-2t

B. s -

//(") a,^ -;[/(,)^ a,.

2

  • 2 D.S=- (^) /(o) do (^) - /(c) dc,

I 2 t

clu 16. MOt 6 td rlang chpy voi (^) v6n t6c B m/s thl (^) nguoi Lii xe rlqp phanh. KC (^) nr thdi di6m d6, 6 t

chuy6n d$ng ch6m dAn ddu voi vfln t6c u(t) :^ _2t^ + B (m/s), trong d6 , h thti gian tinh bAng

gi6y (^) k6 tir hic bit dAu dqp phanh. (^) Tr) hic dgp phanh (^) drin khi dtmg hrn, 6 t6 di (^) chuyiln dugc bao nhi€u mdt?

A. 16 m. B. 8 m. C.6 m. D. 32 m.

To6n (^) THPT - (^) Trang 2/6 - Ma dA 103

n -L

C.

I

CAu3l,Chohais6thyc z,gr^ thoim6n^ r-2y *(3x+y)i:2+13i. Gi6uicria^ r-2v^ bing A. (^) -6. B. (^) -2. C.6.^ D.2. c6u 32. Cho hinh phang^ (/fl^ gioi^ h?n^ bdi^ d6^ thi^ hdm^ s6 y^ :L-r',,^ tryc^ hoanh^ vi^ hai^ tludng thiing e : -\t:1. Th6 fch cira^ kh6i^ fidn^ xoay dugc^ tso^ thenh^ khi^ quay^ hinh^ (I1)^ quanh^ truc

hoanh bdng

l6n A.

-.^15

Ciu 33. Trong kh6ng glan^ Oryz, duong thAng^ di^ qua^ di6m^ ,4(0;1;1)^ vd^ song song^ voi^ duong^ thing

A g (^) - 2 - 3t c6phuong trinh li z-2*4t

B

16 15

C
B

4tr D 4 .

x-I A z-l r g-l^ z-l

A.

A.

(^1) - y-l

z (^) -l

lL

y-l

4

z -L

C

T -1 34 1- Ciu 34. PhAn thyc cria s6 phrlc^ , :^ (4^ - i) + (1^ + 4r) li A- (^) -3. B.3.^ C.^ -5. D.5. Ciu35.Chos5phrlc z^ thdamin^ 2z+(L+^ 4: (5-24(1^ -i). M6tluncuas6 z^ bang A. (^) Ji. B.1b. c.17. D. (^) .E. Ciu 36. Phan ao cua s6 phr?c^ z (^) - 2 * i ld A.-2. 8.2. C. (^) -1. D. 1. Ciu 37. Trong khOng gian^ Oogz,

Ciu 40. Trong m{t phin^ g^ Oxy, di6m M nhu hinh ve b6n duoi bi6u di6n cho s6 phr?c ndo sau ddy?

-----J (^) M c. -2 - 4i. 2

Ciu 41. ChohtunS Y1o; ti€nqrrcn IR ffrmmtu f (a) = r' +

[ (^) "t(r) dr. ciriticta^ /r/(r) 0 dr^ harg D. 19.

ll o

4.4-2i.

B. (^) -4-2i. D (^) -z + +'4.

A. -11. B. 11.

I

c. -7.

CiItr 42. (^) Cho him (^) sti (^) 11"; x,ac dinh tren R (^) \

Gi6tr!cua (^) /(S) bing

.L lior^ + s. s. lk^ r + s. c. (^) -21n5 + s. D. 2ln5 + 3. 22

Ciu 43. Trong m{t phing Ory, bi6t rang t$p hq"