8/10/2019 De Thi HK1 Toan 10 Bo Sung de 20142015

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8/10/2019 De Thi HK1 Toan 10 Bo Sung de 20142015

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8/10/2019 De Thi HK1 Toan 10 Bo Sung de 20142015

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TRUCYNG

MARIE CURIE

DE

rHr

Hgc rY

t

ruAm

Hgc 2011-2012

Mon thi:

TOAN 1OlP

-

Thcri

gian

ldm bdi

:90

ph0t

a. Giii

vd bien ludn

phucrng

trinh

theo

tham

so

m.

b.

Tim

m

d6

phugng

trinh

co 2

nghiGm

phdn

bi,?t

xr

;

xz thda

min

3x1

*

xz=

4.

c. Tim

m d6

phuong

trinh

co

2

nghiOm

x1

;

x2

thda

min

X1

->

->

-->

->

luon

cd

OA+

OB

+

OC

=

OM

+

ON

+

OP.

p.

--1

---r'

---+

->

b)

('hung

rnirrir

iling

vdi

moitlie"m

D

ta ltton co 3DC

=

DA

+

2 DB

-

CA

+

2fit'

n

c)

('iro

;\

=

60"

;

b

=

AC

=

,S

crn

;

c=

r\B

=

5

cn.t

'i'inir

cmh

;r

=

IIC

vir dic'n

tich

tam

giric

ABC

.

'

,

tl

Ciu,l

(

0..5

tliim

)

:

ltur

gon bi0u

riiirc

1

Vcri

O''-

nt

+

(3m

-

2).t

CAu3:

Cho

tam

gidc

ABC

voi

trong tam G.

AD,

BE,

CF

lI

c6c

duong

trung

tuy'en cila

tam

gi6c

ABC

a)

Chtnrg

minh:

BC.AD

+

CA.BE

+

AB.CF

=

0

ii

Ar**

minh

rAng

voi moi

diem

lvl

ta

co:

l,{A1

+

lr{82

+

lr{C1

=3MG'?

+

G'41

+ GBz

+

GC:

c)

Chrmg

minh:

sin

B

=

sin

I

cos

C

+

sin Ccos

I

d)

Tim

rap

hq'p

didm

N'l

thoi mdn

,

t Uata

+

L{B}

--

L1'MC

+

ltCl

Cdu4:

Cho

c6c

s0

duong

a, b,

c

thoi

ma.n

didu kiOn:

a

+

b

+

c

=

1

Chtnig

minh

ring:

(i

+

a)(l

+

b)(1+

c)

>

8(l

-

oxl

-

bXl

-

c)

TRU0NG

MARIE

cuRlE

nE

rul

Hqc

NV

t

t'tAlt

HQc

2005

-

2006

M6n

:

TOAN

10TN

Ciu

1

:

Chohlm

sd'.

Y

=-x2

+2x+3

Thdi

gian lAm

bii

';90

Ph0t

a)

Kh6o

sAt

vir

vE

dd

thi

(

P

)

cfra

ham

sd tr6n

'

b)

Viet

phrtdng

trinh

duongthSng

(

d

)tiepx6cv6i

(

P

)bidt

(d

)vu6ng

g6cv6i dudng

th&nq

(A

)c6

Phr-long

trlnh

:

Y

=1x*1

'2

c)

Bin

luSnthec

m

sdnghidm

phuongtrinh:

l-x'*

2x

+

3l=

m

cau

2

:

GiSi

va

bi6n

ludn

phrlong

trlnh,

h6

phLtong

trinh

sau

theo

tham

sd

m

'

^\

(4m+5)x-(m2+1)-*,

b)

{,(**4)x-(m+Zly=4

)

-x-z

'

lt(zt-1)x+(m-4)Y=P1

Ciu3:ChoAABC

-,

+

+

a)

Eidm

I

thu6c

canh

BC

sao

cho

218

=

3

IC

.

Hay

bidu

di6n

AI

theo

AB

va

AC

b)

Chtrng

minh

rdng

:

sinC

=

sinA

cosB

+

sinB

cosA

c)

Tinh

g6cAbidt

:

b

(

bt-

a')=

c(a'

-c')

Clu

4:

Tim

gia

tri

nh6

nhdt

cfra

bidu

thfic

I

A=#

J3x'*1