\ on rrnvr rRA cuor HQC xt r PHoNG GrAo DUC vA DAo rAo THANH prro.rrAl DUONG NAvr HQC 2022 - 2023 Mdn: Tofn,lcrp Thdi gian ldm bdi: 90 phft DC bei gdm: 05 cAu, 01 trang Cffu 1( 2,0 tli6m): 1) Giai c5c phucrng trinh sau: a) Vx D r^ b) V4x'+4x+l =3 -3 =2 lZ*-!=5 GiAi hQ phuong trinh sau: lsr*3-y=18 C6u 2( 2,0 tli6m): l) Thgc hiQn phdp tinh: 't hr : I a) J+s 2) -Jts+)J+tz J Rft gon bi6uthric sau: r/3 P =*-g+ 2-J; Ji+z +l sJi +2 x-4 ^lti l ''' :' 2-.13 M ;vli x>0;x+4 Kf \ CAu 3( 2,0 tli6m): Cho hdm sO bac nhdt: y = (*-3)x+ 2m-5 (m ld tham s6, *+ 3) c6 d6 thi (d) a) Tim tli6u kien ctnmCC nam sO OOrg bi6n tr6n R b) Tim gi|tri oiam d6 ducrng thing (d) di qua tli6m A (-1; ) c) Tim gi6 tri ci.r- m Oe nai duong thing (d) ve (d') : y = 2x + q cht t4i cti6m c6 - ;-J noann oo Dans -.4 Cflu 4( 3,0 tli6m): ducrng tron tAm O b6n kinh R vd mQt 3 Vl AO-_ tt l t dm s6 di qua di6m A( - l; a) nonta c6: (m-3).(-1) +2m-5=4 ,i0 Bl]( i.iT40 e-m+3+2m-5=4 € nt=6 (t lm) Vfly m: thi g /.t -l'uU thi hdm s6 di qua A(-1; a) Xdt2iluongthang : (d): y -(m-3), +2m-5 ( m*3) (d'): Y:2x+4 DK: Dudng thing (d) vd iluong thang (d) cat em-3+2em*5 Duong thing (d) vd (d') cat t4i di6m c6 hodnh _? dQ bing -1 =x: -i4'2tnayvio (d') ta dugc Y: -3s Thav x - : vi v: a vdo (d) ta dugc: '42 -?_5 (*.-t)t7)+2m-s e =; -3m+9 +8m-20 =10 Yav m =?) ) e * -\t t m) 0,25 ' V6hinh dring ( n6u HS vE hinh d6n c6u a cfing cho cli6m t6i dal a X6t tam girlc ABO vu6ng tai B c6 BH I AO : = OH.OA OB2 ( hq thfc luqne) Md OB: R+OH.OA: R2 VAy OH.OA : R3 X6t tam gi6c ABC vd tam gi6c ADB c6 : -^ ^ ^ ABC = ADB ; BAC chtng ABC d6ng dpng A 4DB ( g-g) = AAC AB AB AD X6t tam gi6c ABO vudng tpi B c6 BH AO : =AH.AO AB2= AH.AO: AC.AD I b AH ADmd.^CAH chung == AC=1 AO > LCAH d}ng dpng LOAD (c-g-c) =fri=60 Md fra *Cfro= ^ ^ CHO + CDO = X6t (O) c6 M LOHE il6ng dang LOMA (c-g-c) 5fu=ffi md 6dq=9oo > GE =9oo = EH r OA md BH I OA > ba tli6m E;B; H thiirg hdng = 0,25 0r25 0r25 0,25 OE frfu chung = (dpcm) 0r25 = 1800 (dpcm) ld trung di6m cira d6y CD oE LCD tai M (t/c) ACEO vu6ng taiC c6 CM f EO =+OM.OE : OC2 ( hQ thirc luqng) Md OH.OA: OB2 vd OC : OB ( Brin kinh (O) OM.OE: OH.OA =.QU OH md 0,25 18oo (kc bn) = OA 0r5 0,25 X6t c 0,25 0025 0,25 Dat x =a y=!, r=! 2'r Khi d6 taco thi x,.v, z>0 vd x+ y+z :xyz 0,25 r =-L*J* lJI +r' Jt *y' tlt+,' Ta c6 1_ 0r25 xyz < /VZ -L_ 2(x+y) 2(x+z) Tuong tu,tac6 l.x,Z1.,xy x+y x+z v+z Z(x+y) 4*+r) {y+r) D6u tl6ng thric xiy 0,25 kt i ua cni x=!:z= ,6= o=Ji, b=2.1i, c=3Ji Vpy gi6 tri lcrn nh6t ctra bi6u thirc T ld vd chi o=Ji, b=2Jj, r:3J1 Hoc sinh gidi cdch khdc &ing vdn dqt di€m t6t da 0,25 ... GIAO DUC VA DAO TAO THANH prrO.rrAr DUONG or HTIoNG nAx cnAnr rrBrvr rRA cu6t Hec rY I NAU Hec 2022 - 2023 M6n: To6n - Lcrp Hu6ng d6n ch6m g6m 04 trang C6u Bi6u - I drem D6p 6n v ]*i-z;DKXD: x23... =fri=60 Md fra *Cfro= ^ ^ CHO + CDO = X6t (O) c6 M LOHE il6ng dang LOMA (c-g-c) 5fu=ffi md 6dq=9oo > GE =9oo = EH r OA md BH I OA > ba tli6m E;B; H thiirg hdng = 0,25 0r25 0r25 0,25 OE frfu chung... -i4''2tnayvio (d'') ta dugc Y: -3s Thav x - : vi v: a vdo (d) ta dugc: ''42 -?_5 (*.-t)t7)+2m-s e =; -3m +9 +8m-20 =10 Yav m =?) ) e * -\t t m) 0,25 '' V6hinh dring ( n6u HS vE hinh d6n c6u a cfing cho cli6m