Đề-đáp án thi thử ĐH-2011

TRItol{c rHpr r,t xonv DE THr THU tvt0N roAnrHr rnr/oAr Hec - sAr or Thdi gian 180 philt 1 Cffu I.. Viltphuong trinh dudng thing di qua hai.

TRItol{c rHpr r,t xonv DE THr THU tvt0N roAn

rHr rnr/oAr Hec - sAr or

(Thdi gian 180 philt)

1

Cffu I Cho hdm s6: y=)*t ' ,3 + mx' -(*+2)x+3, (C*)

1 KhAo s6t vd vc dd thi hdm s6 vdi m: 1.

2 Viltphuong trinh dudng thing di qua hai <li6m cgc tri cria (C-)

Tim m dC tr6n AO tni (C,") c6 hai ili€m clOi xrlng v6i nhau qua g6c O.

CAu IL 1 Gi6i phuong trinh: 2sin3x * - :-

- 3 - 2cos3x

slnx cosx

l*'*6=x!2+y'-x

2 GiAihQ phuong trinh tr6n R : I

"

lY'*6=Yx'+"-Y

Ciu III.

1 Cho hai cli6m A(-2,1), B(2, -1) vd cluong thing (d):x- y +3 = 0 Vii5t phuong trinh

t cluong trdn (C) c6 ban kinh R :2,tdml c6ch tl6u hai iti0m A, B ddng thoi (C) cat 1Ol tai

hai diiim M, N sao cho MN = 2Ji.

2.Vietphuong trinh m{t cAu <li qua A(4; 3; 0), B(3; -1; 1), C(0; 2; I)vdtitip xric v6i mpt

phing (P): 2x + y - 2z * 2: 0.

3 MOt hinh n6n c6 chi6u cao bing 2a,thi6tdi6n qua tryc c6 g6c o <linh bing 1200.

X6c dinh tdm vd tinh b6n kinh mat cAu ngopi ti6p hinh n6n.

E

- ^, sin2 x.dx

ciu IV l Tinhtichphan t=

lffi

2 Tim tiit chc6c s6.h4ng chria lfiy thrla cta x vdi s6 mfr nguy€n,duong trong khai

tri6n nhf ** (i rJr) ,X ) 0 Bi€t he s6 cria s6 hpng kh6ng chria x ld 4860. Ciu V Cho x>0,y>0 th6amdn di€ukiQn : *' +y'-xy=1.

Tim gi5 trf nh6 nh6t cria bi€u thfc : P(x, y) = 9(x3y + xy3 ) - 10O(x + y)

HCt

( .- 04 - 2011)

( YOu cdu hpc sinh nghihm tfic ldm bdi ) GV: Nguy6n Minh Hthi http : //www.vio lel vr/h aimqth k

L

h A;

:=-A-g (-0";*! ) i L6 ilifo') " ,r'70

K e (-l; t) q'40 t ls nettbh bl;n'

I,;,

i ',:"

-rr- di,tt^,,';,,)", si I

-* Gl - !j- *l:dA-*l {,s 4^ e ,;{); 4rhur n (q;rr).

,-rlft)y= ,k ,,t + nrrt - t"+zt" +3-,.

l\li ,

rr) +i= o f y).

iqerl

I )c'- A = tts t nt - e trl-x +6 ,e e,

6 p,

J.-*)<ht" + 3 -: _ 'rxlt -(fK fibr;crrlo')'

Sln)c cf!tr

| -r}-rr -; 'tf $+ITKZJ-,

3 - / ctJx' e'o'ttr

_L_ ttf )L

Ar calr-css|r+l 3-csr2x-ccsttr

iG+ - ct)".cat" - Cotg'-tzsrc +3cr' = !Srbt:lhf-cO,lX.-co9f.gbI

-snft:B):l -L-*l t:tlr 6s llf-l-=a Lt),

fl-*<a-{ru)rc2

I lJf 01 : AtSr'ntlr +y)r/n *J =0 - (V' n').

f

L L jlnx

,-, ).,)

!,tilii1 i -l

) z qx+aLr+ tj_=_o_ _

= .l*8,> x,- l+C

l'r 1 E - -b4-= frlp:Ll i-Iit€+-1:rL+> ( a- fr ; r+€ ) .

'7GiL.@2;-l) ) Lrpy m, L(o;o),

-L

i 1/:e (rry)-/ J lqtg)-=4qry ) ttr =

. i

l _

I r i:i=i-\

' tA-

s,-, *l A-

^.-I vLf XuArLrer8NG,

| + C*l -l'\fl ,-crL' ,"' (il,- lu y- ': +2so_

I o D- Jrn.rat)- ILX'+Vo*)+6+)l rt\

\ tzo b-,

'

rrNP, s\

-/

-l

i

ts-t-o=^'f 9

$a\ctn?z

J+ tng Q*r) sH tqi Ssru-"ud iD!-lod+ 1+ o n' -S

.d ,ogoql' Strlh+-nd e -a -e

N"L-a

-nrnl

-,"^'l- tp-sin5x tl-esd - -I'*to

I

t \u5 .h' : c\dq' )Lq n.3l{ = o b n* !E .

+- lls\; uq$ ful :

"\"drl_r _ci -t\r t

c3K'd'-'S = tl8(o

r?:_1 L\ .

+et6 -/

L-t a- et,z\-s!

1 W): )- sy -< L trcy

i-Y/

/$)- s (+\)fj' +-GtU- rcor'

_,=._ f ? + +'- NS_t

:-)., {J- l0) - +I t t''.106+ ->, -/4-G

l'tf) = vtt'rL.t*toG,

, - lt 6, )+st:jf]gf:+

uL)-= o G) t=6-.

0{;

0

l: 5{z_-\16 s l>

P

3

&4;,, - JE-\ra

3 / ' (

13^ra f,

=E