{*.- ne rlrt THU DAr Hec EOTTr NAvr zor r MOn Toin - fndi A so GrAo DUC VA EAOTAO HA NQr rnr-IoI.rc TIIPT CHU vAfq AN Thdi gian ldm bdi: 180 phft, kh0ng td ttrOi gian giao d0 OA ttri g6m 01 trang PHAN cIruNG (z iti6m) B il (2 drd@.Cho hdm s5 y = ?4 x-l i Kh6o s6t vd vc dd thi cria hdm s6 da cho Gei r giao di6m't;ft;o't;;;e*;; cria r10 th! rim di6m M tr€n d0 thi cho ti6p tuy€n tgi M wdng g6c vdi IM Bii u (2 diam) lx-alvl+3 "' = [!/lo&, o)' lu'-ro+1=o L" "4 PHAN fV CHQN Q itid@ Thi sinh )nt mQt hai phb): Phdn A ho(e Phdn B "npo Phin A: Bii VIa Q diiim) l Trong mflt phEng tga ilQ Oxy, cho tluong trdn {C): (x-1)' +(y +2)2 =9 vd dutrng thing (d):3x-4y+m=0.Timmd6tr6n(d)c6duynhfltdiOmPsaochotrlPc6thekedugchaiti6p 6m gi6c vudng (A, B ld cdcti€p diem) tuy6n PA, PB vdi dudng trdn vd tam gi6c PAB la 2.Chohai ducrngth$ng d'* 1= yr =t ^l 212123 vd A: x-2 = y, =t trongkhdng gian v6i hQ to4 dQ Oxyz Bi6t rang d vd Acft HEy vi6t phuong trinh mf,t phing (P) chrla A cho g6c gita dulng th6ng d vd m6t phing (P) l6n nh6t Bii YIIa (I di6m) Gi6i phuong trinh: 9x + 2(x - 2).3" + 2x - = PhAn B: Bni vlb (2 die@ mlt ph&ng tqa dQ Oxy, cho dudng trdn (C): (x - l)t + (y + l)'? - 25 , diiSm M(7; 3) Vi6t phucrng trinh ttuhng th&ng qua M c6t (C) tai hai di6m phAn biQt A, B cho MA = 3MB Trong Tt cdc cht sd 2, 3, 4, 7, 8, g c6 th6 lflp tluqo bao nhi€u si5 tu nhien 16 c6 s6u cht s6, d6c6dungbachfr s6ZZ BAi VIIb ( diim).Gi6i phuong trinh tr€n tflp ttsp f5 HCt Hq vdtOnth{ sinh: , phttc: za - z3 + 6* - 8z - S6 Oao Oanh: - 16= Hr-l5Nc nAN cnA,r nnl I BEi 2d nrdu odu udx roAN - rsdl a u6r nuNc CAU L (1.25 DIEM ttiim) a)TXD:x*1 0.25 b) Sg bi6n thi€n: + Nh6nh v6 cqc vd duirng tiOm cAn: lim y= 2:'Dd thi c6 tigm cQnngang y =), Iim y=2' x-)-00 o,25 x-)+co lim y =-oo; lim y - x-+I o: Dd thi c6 tiQm cAn drfurg x = x-+l' + Yt= : ' (x _1 ^ -l)' 0,Vx * 1, d6 hhm sd nghich bidn uOn (-co; "< vd (1; +oo) + Bing bidn thit in F- -oo lY' *co 0,25 I_ I +co ) fco c) Dd thi: Dd thicSt ox r?i didm A( j, ol, c6tOy tai B(0, 1) VE dfng, dep 0,50 Chu2 (0,75 ilidm) Ta c61(L;2) Gi6 srt M(xo, yo), ta c6 hQ sd g6c ctra Tidp tuydn tai M vu0ng g6c vdi IM vd chi -1 J= e; -:r (xo -l)' (xo -1) Bni u 2d TU d6 ta duoc IM lb k o -2 - = Yxo-1 = l (*o-1)t' k.y'(x6) = -1 4,25 o,25 -1 (xs -1)a = M(2: 3) hodc M(0:1) a"25 cau l, (1ili6m) + Didu kiQn x > 1, y +3:0 ) L{p ludn dua vd hg: [*-0, [loga x i*-ay+3=0 ... a)TXD:x*1 0.25 b) Sg bi6n thi n: + Nh6nh v6 cqc vd duirng tiOm cAn: lim y= 2:'Dd thi c6 tigm cQnngang y =), Iim y=2' x-)-00 o,25 x-)+co lim y =-oo; lim y - x-+I o: Dd thi c6 tiQm cAn drfurg x... 0,Vx * 1, d6 hhm sd nghich bidn uOn (-co; "< vd (1; +oo) + Bing bidn thit in F- -oo lY' *co 0,25 I_ I +co ) fco c) Dd thi: Dd thicSt ox r?i didm A( j, ol, c6tOy tai B(0, 1) VE dfng, dep 0,50 Chu2... Tam gi6c PAB luOn cAn tai P, d6 ndu n6 wOng thi wdng t+i P; Khi dd trl 0,25 0,25 3Ji ei6c PAIB lb hinh vu0ns canh vh d6 PI = t*D€ t$l t+i nhdt didm P thi khotrng cdch tt I den (d) + Trlc lm+81