Toán 12

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M6n: TOAN
Thdi gian ldm bai: 180 phtt (Kh6ng E thoi gian giao tti)
c.Aar.(2,ritilml Chohdm.6 y=71r; =411 1;y
a). Khio sdt sg bi6n thirin vA vE dd thi (C) cua hem s6 (t).
b). Vi6t phuo:rg trhh ti6p tuy6n cua dd thi (C) ei diAm M thuQc (C) c6 rrng .lO blng 3.
cilu 2.(1,0 aln)
a.). Cho 0 < x <
f, "o
* - I =!. T{nh gi6 tri cua bi6u thric I = (1 - tan.r)(l + tany).
b). Ttrn s5 phric z vd tinh m0dun z, bi6t (S + i)z +(l +4(2 -t) = 5 -i.
Ctt 3,(0,5 tliim) Giai phuong hir:h log, (x' + 3x)+ log, (2x + 2) = 6,,r. p.
cS:u 4.(1,0 frld ciiii bdt phucmg tlnh 2 x + s > Jll-x (J-x- 1 * nfi l7 ), r e R .
Ctu 5.(1,0 dil@ Tinh t{ch phtn / = I(l+lnr)rdr.
CAu 6.(1,0 iri64 Cho hlnh ch6p S.ABC c6 dAy ABC ln tam gi6c w6ng t4i C , BC =2a. Tam gi6c
,94B ru6ng cnn tai .S vi nim trong m6t phing w6ng g6c v<!,i m{t cl6y, mit Uen (SlC) hqp vdi m{t
tl6y mr)t g6c 600. Thh thec' a th6 tich kh5i ch6p S.ABC vd khoing cri,ch tu di6m I d6n m{t phing
(sCr) , ri6t ring 1 li trung o!i6m cria cqrh lB .
Clu7,(il.,|itidm) Trongmftphlngvdihgtqad0 Ory,chohlnhtbang ABCD c6 BAD=ADC=900,
AB= AD=2, DC =4, tfinh C nim tr0n iluiarg thing d: 3x-y+2=0.Di}:m M nim tr€n csn}r lD
sao cho AllI = 2luID vi ttudng thing BM c6 phuong trl rfi ld 3x-2y+2=0. Tim tga ttg cria dinh C.
C0u 8.(I,0 tilm) Ttorgkh6ng gian vdi hO tpa dQ Oxyz, cho di6m A(l;Z;-2)vn m& phing (P) c6
phuong trinh 2x-y+22-l=O. Vi6t phuong trinh m{t cdu (S) c6 tdm tA I vA ti6p xrlc vdi (P). Ttm
tqa .10 cua dep di6m cua m4t cAu (S) va m6 pning (r) .
CAu9.(0,5 ifrlm) Cho tap hsrp E =lli2i3;4;5;6 vt M ll tip tdt cn cCc s6 gdm hai cht s6 phin biQt
thu$c E. Ldynglun[i0nmQts6thu$c M ,TInhxAc sufi dd t6ng hai clt s6 cua s6tt6l6nhon7.
Cta 10.(1,0 ili6n) Chlr a,b,c li ba s6 thlrc duong vl th6a min tliAu kign 3(az +b2 +c2=1. Tim gi6
tri nh 6 nh6t cua bigu thtc
o=p.tffi.F;$j.F4fi
--------- nfr --------
Tht lnnh Hi6ng t rtc st dgng Ai fii.u. Cda bQ ai tht khdng gidi thlch d fie,,a