Chimg minh rang: Jog.
Trang 1.,raANQDlI!G :(70N.)
gu: (2 o4fl.) V6i m& A Ihyc _ , (c.) • ,& 6
I) KII60 MlI\I bih.1hi&I vi ve d6 dIIlnJIII tn~ II • !
1) TIm ck !Iii lit cUa /II ~ da ck diI:m """ lit • (e.)
0,11: (l,O dJm)
I) TIm ga trj 1611 nIJt v' ,ii lit nh6 nbAt cUa ftx) - sinx +cou+t8DX+OCIIls
{
2" + 2'''' ~ 16
( i I!I; (},Ot1lim)
" -, I) Tlnh 1= J,!I-Sin xdr
2) Cho a,b,c Ii clc sA !bile ruy y 1611 han I Chimg minh rang:
Jog be + log co + loge ab 2 4(J08dt C + 10 a + loS", h)
COO hiM ch6~ tir gi~ S.ABCD c6 day Ii', hinh ,bin!J1" AB.CD v6i !fun 0 ,
G9i p, q, u v Ian hr\7! I cae khoang cach tu ° den .m~1 ph3ng (SAB) (SBC) (SCD) (SDA)
ChUng minh rAng n~u mp(SAC) vuOng g6e v6i m~1 pt!l1g (SaD) \hi: _I +_1 =_1 +_1
n PHAN R1ENG ( 3 ,0 t1 ii m ) Thi sinh chi dwc chon :::91 Irong bai pb'n: A botc B
PhA" A
nll Va: (2,0 lliim)
1) Irong m~t piling loa dO;; Ox.Y.cho duemg tron (T): x' ~ -8x +12 =0 va diSm K(4;1).Tim lOa dO;; diSm
M iJ treD lr\Ie ~ sao eho tir M ke dUQe hai ti~p luyt1n ME, MF viJi (T) va duemg Ihing qua cae liSp diSm
E, F chira dit\m K
2) Trong khang gian tQ' dl) Oxyz , cho cae dit1m A(2;O;O).D(O;-3;6).Vit11 phuong trInh m~t phAng (P) ehim
dUOng thAng AD va cat cae !r\Ie y'y va z'z IAn IU\7! t~ B vii C sao eho !btl lieh I" di~n OABC bing 3
Ci VI.; (I,D iMm)
ChimgminhrAngnt1ueacsAphire z ,,', th6a Iz,+z,I=lz,lF2 thIlz,-z,I=lz,IF2
Phd" B
Cill Vb: (2,0 diim)
I) Trong mat piling lQa dii OXY I~p phl10ng lnnh eila conic (H) e6 tam sai birngF2 , tieu di.im 101 F(I ; I) va
duiJng cbuAn l! c6 phl1<Jng trinh x + y·1 = 0 ,Tim tam d3i xling eila (H)
2) Trongkhong gian lQadQ Oxyz cho hai dUOng <hAng (a): x - I = y-3 =! (b): x-s ~ y ~~ va
mal phAng (P): x ·2y+2z ·1=0 Xet diem M thuQe (a), di€m N thuQc (b) sao cho MN song song viJi (P) vA
kboAng cach giQa MN Va (P) bang 2 Tim toa de> cae diem M va N
Call Vlb; (1.0 diim)
ChUng minh ring v6i mQi sa phfrc Z •• Z2 luan c6 Iz I ' +Iz I' +1:1 ~ +/;12 -/z + /'
/-' I J " "':1 - J %2 + " - Z1 •