de kiem tra hoc ky 1 toan 6 nam 2017 2018 phong gddt vinh yen vinh phuc

PHoNG GD&ET viNH
OT

yrN

oE xrsnn rRA Hgc rcy r NAnn Hec z0t7 - 2018
nn0N: roAx o
Thdi gian: 9a ph*t fthhng k€ thdi gian giao di)

cgiNH THIIC

r. TRAC NGrrrsM (s iriem)
Ghi vdo bdi l&m chi rn{t chir cdi A, B, c hofie D trwfc cau
firt lN itfing,
cfiu t. so tzo sau khi ph6n tich ra thira s6 nguyOn t6 c6 ki5t qui ld:

4.2.3.4.5

B. 1.8.15

Cfiu 2" K6t qu6 tfnh 30 + 3r.(

A.8

30 +

c.
3

r

23

.3.5

D.2.60

+ 32) bdng:

B. 46

c.

31

D. 40

cffu 3. c6 bao nhi6u s6 nguyOn t6 c6 hai chir s6 md chfr s6 hdng

A.6

dcrn

8.5

vi id i?

C,4
D.3
C0u 4' Sip x6p cac s6 nguydn a+2;a - 8; a+ 4;a- l0theoihu*iugiani
dAntaduqc:

A. a+ 2;a- B; a+ 4;a-1A
C. a+ 2;a+4;a_g; a_ 10
B. a+ 4;a+ 2;a- 8; a- 10
D.a-L0; a-8;a+2;a+4

cflu 5. Trdn tia ox l6y hai diOm A, B sao cho oA
tndng AB
A" Zcm

:

3crn,

oB

:

7cm. D6 ddi doan

1A:

B. 3cm

C. 4cm
D. 5cm
Cffu 5" vE ilucvc bao nhi6u dtrdng rhing cli qua 5 di6m ph6n
bigt trong d6 kh6ng c6
3 di6ni ndo thlng hdng. tsi6t rang ,r, quu 2 di6m
ta v€ dugc mQt duong thing.

A.2A

B. I0

IL T[r'LUAN (7 di6rn)
{'Aov (1,5 tliim).

c.

s

D.

I

Thr,rc hi6n c6c phdp tinh sau
&dng crich hop t{ n€u c6

a) 12.79 + 79. 172

*

79.84

the;

b) (ro.t' :z').zotzo

C6u 8 {1,5 itiiim). Tirn s6 t., nhi6n x, bi6t:

a)x-I0:3.{62:4)
CSar 9

(t,5 diiws).

b) (3.x --20).7t

:2.76

Sd hoc sinh kirdi 6 cria mQt truong khi x6p hdng
10, hAng 12, hdng 15 dAu thi6u J
em' Tinl-r so hgc sinh khdi 6 bi€t r6ng s0 hqc sinh trcng
khoang t* 300 d6n 400.

T ^
faAr'
t\ {) a utern)vdrrr !rt-'
IA'u ,t:4=--t rrcn
ila ur v€ hat doan thang (JM: 2cm,
ci6i cua tia ot 16y di€rn P sao cho oP :4cm"
Gqi I la trung

oN:5cm.

c1i6m cua dopn

a) Trnh d0 dai dopn thing MN.

Tr€n tia

thing oF.

b) Tinh dq dei dopn thing ot" Di6m o co ld trung tlidra
cfla dopn tirang IIv{
khoilg? Vi sao?
C6u 11 {{t,5 ttiing"
Tim s0 tU nhidn n sao cho p : (n -- Z).(n, * n _ 5) ld s6
nguyCn t0.
..".stlt
(Gido vi€n coi ki€nt tra kh6ng gidi thich gi th€m)
Hp vd ftn thi sink
cDI-


pHoNc coc.or viNu

yrN HuoNG nAN cuAnn os rrurrl rRA HQc ri. r
NAna Hoc: zotT - 2ot8
rvr6N: roAN o

.i

,!t

r. prrAnv

'

T6ng 3 di6m, mdi cau dfng dugo 0,5 di6m.
a

CAu

I

2

J

4

5

Ddp 5n

6

C

D

B

B

C

B

II.P IAN

LUAN:

C6u
1

tnAc Ncrrr$na:

f

NQi dung

a

't9. L7z
t 2. te +

b

(zu.s':z').zono

a

W :36

Ei6m

- 79.84:79(12+172-94;:79oo
= ( 2t.5').zo I 70 = 200.1
.J

\L

L

l

).Lv

-

200

x - 10
:4.3
x - l0:27

2

(3.,

0,75

0,25

x:27 * l0
x:37
YQy x:37
b

0,75

0,5

:2.76
- 2u).7t
:2.76:7s

3.x - 2a

0,25

3.x-24:14
3.x: 14 + 16
3.x:30

x:30:3
x: 10
VQyx:10

0,5

Gei s6 hgc sinh mOi O te
vi khi x6p hdng 10, hdng t2,himg l5 d6u thi6u 3 em n6n a + 3 chia
h6t cho lO, 12 vd 15. Suy ra a + 3 e BC( 10,12,15)
J

l0 :2.5; 12:22,3;

15 :

*

0r5

3.5

BCNN( 10,12,15; : 22 . 3.5 :
a

0,25

60

* 3e { 0O; 120;tB0;240;300;360;

a2O;...}

a e {sl ;t t7 ;17 7 ;237 ;297 ;3 57 ; afi ;...}

vi300(a{400n6n a:357
Vfy

s6 hgc sinh t
0,5

trulng ld 357 em.
0,25
Su,

d*


a

VE hinh dring, chinh x6c

TrOn tia Ot c6

0,25

OM < ON (2cm< 5cm) n6n di6m M nim gita hai

ili6m O vA N. Ta c6:
OM + MN: ON
Me OM :2cm, ON: 5cm n6n 2 +

4

0,25
0,5

MN:

5

MN:5-2:3cm
Vi di6m I ld trung di6m cta

.':

doqn th6ng OP n6n

,Ar?5

,

or:oP

22-!=2"*

b

LAp lu4n dusc di6m O nim gifia hai di6m M vd
Me OM :2cm, OI 2cm n6n OM:OI (l)

:

Tt

(I

) vd (2) suy ra O

li

0,25

I (1)

trung di6m cira doqn thing

MI

0r5

:

5

Ttr p (n * 2).(r' * n - 5) suy ran -2vd n2 + -S ta uOc c.ia p.
"
Vi p ld s6 nguy6n t6 n6n n -2:1 hodc ,r' + ,, -5
+ Niiu n -2:1 thi n 3. Khi d6 p l. (3' + 3 -5)
lds6 nguy6n
t6( thOa mdn)

:

:l
:7

:

0,25

+N6urr'+n-5:l
n'+ n

:6

n.(n+1):2.3
Suy ra n:2. Khi d6 p:
v4yn:3

(2

* 2).1:

0 kh6ng ld s6 nguy6n t6.

0,25

chfi i,:
- HQc sinh gi6i c6ch kh6c, n6u dirng v6n cho di6m t6i da.
- Hgc sinh kh6ng vE hinh hodc vE hinh sai thi kh6ng chdm bdi

hinh.

.r,

,