I

Et KrEM

TRA cHAr LtIgNG DAUNAM
NAM HQC 2016 - 2017
MON roAN LdP 11
Thdi gian ldm bdi: 180 phtu, kh6ng ke thdi gian phat

SO GD&DT BAC NtrI.{H

TRIIOI{G TIIPT HAN THUYON

(Di c6 0l trang)

Ciu 1(1,0 di6m). Khdo siitvdvE ddthihdm

sO

(f'):

di

y=+f -+
ZL

Ciu 2 (1,0 tli6m).
Cho parabol (P.):y= x'-12m-31x+(m-I)'1 vir dulng thing
Chimg minh rdng d lu6n

d:y=7,'-**''

Ciu

4 (1,0 tti6m). Gidi b6t phuong

c6u

5 (1,0 tli6m). Gi6i hQ phuong

=

sina+cosa
a
sina-cosu tan'a-l
sii?

l' -21'
trinh: x'-5x+6
,r3

" tririh:

- n = aw

+

l!,zt
I(4x + 5)(Y-5)

{
= 41Y
./2.-

Ciu 6 (1,0 tli6m).

M

c;lia

Cho tam giric ABC co AB = a;BC

=2a;

g6c BAC =120'.LAy trung di6m

AC. Tinh d0 ditl AM;BM ,tu il6 nOu nhfln xdt vd hinh dqng ram giitc ABM

.

CAu 7 (1,0 tli€m). Gi6i phuong trinh:

Ciu

8 (2,0 tli6m). Trong h€ tqa d0 Oxy cho tam giiic

ABC dilth l(-3;4) noi d6p dudng trdn

(C) tam 1(1;7) . Phuong trinh dudng phdn gi6c trong g6c A lit d : x + y -1 = 0 .

Ciu

dgng tiri liQu. Cr{n bQ coi thi khOnb giAi thich gi th6m.

Ho vir t€n thi sinh :...........


'

50GD) i)l:,..;TRTTO\'G

.-.

:.-..

.. ...1

ttlU\trU.\\(i,l

,

Ei

TIPT F!\.\ TiJL'i.T

hJE.U TRA

CIi.\T LL'I'J\L;

|

D


02s

"f'(t)>-0
0,25

2)

t:?
= linr ---- L-----'" (x-2)(x +1)lJx+z+z)'-:(x+7)(J.r+2
--

*1 = 1;*

+z)

I

0'5

0,25

JO

v

7:0
+)c1i M (4n -7;n) e AB gld'z = (am -7\t + *, = 5 e 17mz - 56m + 44 = 0
=
+) phuong trinh tludng thing qua 2 ditim A, B lex

-4y+

0,5