/

Trueng THPT
Nglly~n Hll~
TB toan

DE THI

HQC KY I
Mon: Toan-KhBi 10 -Nam hoc 2014-2015
Thai gian: 90 phut

Call 1(1.5diim) Giai cac phuong trinh sau:
1. 12x + 31 = Ix - 21 ;
2.

-V'X2

+ 1 = x2

-

1 (HD: d~t fin phu).

Cau2(1.5diim)

Cho phuong trinh sau:
x - 3x + 2m - 1 = 0 (1)
1. Tim t~t ca cac gia tri cua tham s6 m dS phuong trinh (1)
co nghiem.
2. Tim t~t ca cac gia tri cua tham s6 m dS plnrong trinh (1)

..

Tim t~t ca cac gia tri cua tham s6 m dS h~ phuong trinh co
vo s6 nghiem.
Call 5(2didm) Trong m~t phang toa d9 Oxy cho A(-1;2), B(4;3)
1. Tim toa d9 diSm M thoa h~ thirc 3AM - 2Bf,l

=0.

2. Tim tren true Ox diem N sao cho tam giac NAB vucng tai
N.

Call 6(2didm) Cho tam giac ABC co

A

=

1200, AB=7 va AC=4.

G9i I la Him dirong tron n9i tiep cua tam giac ABC.
1. Tinh tich vo huong AB .AC;
2. Tinh d9 dai canh BC va ban kinh duong tron ngoai ti~p
tam giac IBC.
Call 7(O.5didm) Chox, y» Ovax+y=3. Chirng minh : X.y2 < 4.

I


I Call

t

=

2 ¢=} ..,/x2

3x + 2m-l

-

.
0.75

./£1. + 1 = x2

+1-

¢::> ••

e· ., t -2=0~

+ 1=2~

[t _ -1

t-2
= 3 ¢:::> x =

x2


+y

+ y)2

0.25

+ 5(x + y} = 6

- 2xy

+ 5S = 6

+ V6i S=I va P=O: x, y Ia hai nghiem cua PT
Do do

0.25

- xy = 1.

B-tS
+ 'P
H"tr'th'nhfS-P=1.
~ =x y va =xy. v (J a l52 _ 2P

1.5i1

1

-x;' x;



X2 - X

~

=0

0.5

{P=S-1
S2 _ 3S ¢::} ~

~

0.5
4 =0

~

(x = 0
(x =:1
br = 1ho~c 1y = 0

+ 4X -

+ V6i S=-4 va P=-5: x, y la hai nghiem cua PT X2

5 = 0 ~ f'X :=-5

0.5


khi D

= m2

= DX'

=

2m - 8

0.5

o; = 0 ¢:? m=2

0.5

T'

A( -1; 2),B( 4; 3)
•

1) G01 M(x;y):

Can

--

----;t



2(x - 4)

=

0

3(y _ 2) _ 2(y- 3) = 0

x2

-

¢:}

fx = -11
ly = 0

x; 3)

x)(4 - x)
3x

+2=0

.

1
0.5