Đề-đáp án thi thử ĐH-2011

TRItol{c rHpr r,t xonv DE THr THU tvt0N roAn rHr rnr/oAr Hec - sAr or Ndmhoc: 2010 - 2077 LOP l2a2 (Thdi gian 180 philt) 1 Cffu I. Cho hdm s6: y=)*t + mx' -(*+2)x+3, (C*) ' ,3 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 ''jir r{r. h A; :=-A- g (-0";*! ) i L6 ilifo') ." ,r'70 K e (-l; t) . q'40 t ls nettbh bl;n'. z=_?:- 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-,. J- : : l\li , rr) +i= o. f y). iqerl I )c'- A = tts t nt - e trl-x. +6 ,e e, -di-tt!l {t+r* o.r rt , ra'-=r ^' n, , - -6 p, J *)<ht" + 3 : _ 'rxlt -(fK. fibr;crrlo')' Sln)c cf!tr | -r}-rr -; 'tf $+ITKZJ-, 3 - /. ctJx' e'o'ttr _L_ ttf )L Ar calr-css|r+l 3-csr2x-ccsttr {7' vhr c/\2c' iG+ - ct)".cat" - Cotg'-tzsrc +3cr' = !Srbt:lhf-cO,lX co9f.gbI o -snft:B):l- L-*l t:tlr. 6s llf-l-=a Lt), h4 A): ,rn (r+= o *srb 0 + -$=-Ju-e r= fl-*<a-{ru)rc2 I lJf 01 : AtSr'ntlr +y)r/n *J =0. - (V' n'). f L L jlnx i' / I :Fl 1 ,-, ).,) !,tilii1 . i -l iJd{D }ry ( tey )-llry)-+z=o ) 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 * rer+y)t - L (tty), +tz=o i l___ I I r i:i=i-\ ' :"".i ir:' . il , . ' s,- tA- , *l A- ^ I vLf XuArLrer8NG, | + C*l -l'\fl ,-crL' ,"' (il,- lu y- ': +2so_. __ I o D- Jrn.rat)- ILX'+Vo*)+6+)l rt\ l J \ tzo b-, ' y, :3)"+- ( Yr' s)'i +, 6)\ A rrNP,- -s\ -/ -l i ts- t-o=^'f . 9 $a\ctn?z l 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 u- r o -,"^'l- tp-sin5x tl-esd - . -I'*to $ina1d)- r'-J'{'-+ i+rrli) n- *- - ri-,J qtJr - -* t+f- qn t n '.: - SIrrEt_ I .r I t \u5 .h' : c\dq' )Lq n.3l{ =. o b n* !E . +- lls\; uq$ ful : "\"drl_r _ci -t\r t__ n v- .l+ -2K c3K'd'-'S = tl8(o xJ 6e)* clc -z' ('*. ke z). 2 1' t F=2. ; -' i, 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 IeH'- t,, . 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 zlL* tfz-$ 3 / ' .( 13^ra f, =E . y=)*t + mx' -(*+2)x+3, (C*) ' ,3 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. 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. I)vdtitip xric v6i mpt phing (P): 2x + y - 2z * 2: 0. 3. MOt hinh n6n c6 chi6u cao bing 2a ,thi6 tdi6n qua tryc c6 g6c o <linh bing 1200. X6c dinh tdm vd tinh b6n kinh mat cAu ngopi