-'l'inh chu vi, di6n tich cnc hinh dA duoc cli cep trong chutrng trinh to6n 'I'HCS... Iao Thicn Khri.[r]
(1)IJI}NIJ I INII I)AL I-II'I SO (;IAO I)UC vA t)A()'fAo CONG IIdA xA ilot CHU NGFIiA VII.]'I- NAM D6c lip -'[r.r tlo - llanh phirc s6: i05J /sGt)Dt -KTKt ) V/r,t6 chLrc K\ thi chorr hoc sinlr gidi.giiii toin tr6n nriiv tinli ciinr tar ciP t11111 lrrre lo l: l(Jlt, ".i," Kinh gui: - I'r.uiing phong (il)_l)'l.chc huyen, thdnh ph6, thi xd, - lli0u trurrng ciic tr.urrng l l II)1'; - (iiArn doc c6c 'l'rung tam (il).1.X, GI)_DN cdn cri -l'he ld ro chuc cuirc thi giai 1o,ln rren rn6y tinh casio ban hanh tar c6ng vdn 52591'fl lP'l' ngiry Ill(t12000 cLra lJo tr.Llong rld (;DI) l crirns vin so 4816/llcDI)l-(il)lrll ngil Iti e l0l5 ctrl lJtt (iD_i)l ii vii,c lrrrrrnf clin ki hoach t6 chilc ('uoc thi hoc sinh eioi ptri), rinh uript tu1 "nirtr hoc -eiai tgan trlrp 2015 - 20 16, sd (lD-l)I't6 ch[rc Ky rhi chon h.c si'l.r girii giai to6n tren rn6y tinh cdm tay cAp tinh rrirl hoc 20 l5 - 20l6 nhu sau: L ThAnh lip d6i tuyCn vir tling ky drr lhi l D6i tu'g'ng dr.r.thi a) l)6i voi 1'l ICS: LA hoc sinh clang hoc vdo d6i tuy6n rhi rheo de lo-p 9) <r vtii IllP-l': t.d hoc sinh clang hoc chon viio d6i tuyen thi theo d6 lcrp l2 l llp-l ) b) t)6i lt'rp hoac l<ip ii (ncr-r cluoc chon ti ldp l2 hoac ltip II ('6u clutrc c) D6i vdi ll'l' 'll ll) I': l.d hoc sinh dang hoc o krp l2 hoic lop I I (n€u duoc chon vdo d6i tuy0n rhi rheo d0 krp l2 ll'l'l'Hp'f ) Di6u kiGn drr thi Thi sirrh tharr dtL ky thi hoc sinh gidi giaii r.:in tinh ndur hoc 201 - 20 | pheii a) X6p loai cd ndnr o kh6 tni rr.6n rniiy dA p ung c:ic di6u ki"rn sau: nr'r hoc 2014 linh c6m tay cap - 2015: hanh kidnr va hoc luc tu roai l6n b) t)uo.c dcrn vi lua chon d6 tharr gia kj,thi cAp rinh 'l-hirnh lap d6i luyGn dr.r thi a) M5i pho'g GD-t)'f thAnlr lip d6i tuy0n tir l0 dOn 20 hoc sinh (k€ ca thi sinh cua cdc tru<rng'l'l ll)'l cti c6p'l'll('S, kh6ng kc rruong l'lll)l chuyin llac Li6u) b) M6i truirng 'l rIP I rhrinh rdp croi tuyen ti.02 di' 07 hoc sirh/ nr0n Ri6ng 1'l II'-l ('huyi Irac r.ieu rhdnh lap d6i tuyen it.hdr tir'07 d€n l5 hoc stnh/ mOn (kC ca uron l oir11 lltp ty y (2) c) M6i t"l (;l)lX, ll(ll)-l)N thirrh Lip cloi tuvrirr tiL 02 clcn 05 hoc sinhi tnon l):ing ki du'thi Chim rrhat ngav 2.1/)0/1015, circ clon vi phii gtri rrn lrun dirrg ki st' ltxrr.rg clu thi thco I'hu lLrc so I clui dinh vc So (lt)-l)'l'(qLra pht)ng Khrio thi va KD('r_(;r)) Chirl nhit ngiy 0(r/l li20 15, cltc cltrn vi phii gui vitrr b:tn ditng l<i clanh sach theo l)hu luc sir 2A tlLri dinh r'0 Sti (il)-l)'l'(cpra pht)ng Khrio thi vri KD('l.GI)) l16 srr lhi l lo sri drr rhi e trlr tlri sinlt :-l,lrl i,: 0t clinh thr\nh lap cl0i tuyen kim tlrco cl:rnh sriclt doi LLn'in rirrh.lx6 cua thi sinh clut-c grLi r,0 Sti (ll)-l)'l'chAm nhiit ngiy 0(r/ll/2015, cluo-c clhn thco danh seich rinh tirng tloi tLr1,'0n 1l)hLr lLrc so 213) hoac filc unh cua thi sinli (luu thco - QLrl thtL r.nuc tirr-rg cloi tuvcrr) - lhc ciu thi nhirr tai So (il)-l) I sru ngai1 lOi I lilOl5 - Khai sirrh, hoc ba cua thi sinh du 'l-hLr tluo-nq don vi cltL Lhi thi ('llLlrrng phdng (il)-D'l' llicLr tluting chc tfuilng -l-lll'l, (iirinr clOc cric ll(;DlX llCD-l)N) to chirc kiCrr tla va chiLr trirch l, i nhilnr r c ho str r i tli.'u lii0n drr thi cLra ; thi sinh (l<h6nu rrop l<hai sinh, hoc ba vc S,r C;tl-t-l t ) ll MOn thi hirrh tltric thi rriri rlrrng, ciiu l l hi sinh cti the clirng kv ciLr thi mot trorrg ciic nron sau clay: lnic rl0 lhi (iiai toan tlCn m/ry tinh int t" cuc nron loiin, \.it lj llria lroc, Sinh hoc lttp l2 hc (ll)l'}'l', (iiai tohn tren nrhy,tirrh cunr ta), nroll loan 116 (ll)'t'X l,i (iili tohrr tlcrr n'riy tinh canr tay lrip nr6n'liran l lhi sirrlr rlri r ii't girri ui t,ii toirrr ltrrr- tlii.rn li 5(t rlii'rn Khirrrq rri utrrrc phin thi clirng d6i i I)hanr vi nOi dune thi tlrLlc hi.:n thco cic l)hr-r luc iA.3ll,3C,3l),31:3lr (dinh kcm) IIl l,ich thi, thr)'i gian l:\m bii thi v:i clia tli6m thi: j rlri lroe sirrlr gritli girri toirrr trLrn lnii\ tirrh cirrr tin e rip rrnlr co (ngiy 06/12l2015); th<ri giln Iinr bii thi li 90 phirt, cr-r lhc nhu sau: K - qio: Khai nrac k1' thi - rriir 55 phirt: Nltr tri rli' - tl gid: I inh gitr lirnr biri - gir) ,i0 pliirt: I hu bii (t l huoi tlri (3) Dia di€rn rhi: Se rhong bdo sau 'th6 dU thi cia thi sinh) (c1ua h6p rhrr diO' rn cr.ia cl<rn vi vd in trCn IV Gi6i thu'iing vri gi.{y chri,ng nhAn h9c sinh tl rt giiii thu.ri.ng 1nh6t, nhi, ba, khuyOn khich): Xct giai cd nhAn (nhdt, nhi, 9irj,:i ,oa ,,1 :fal r.i Knuyen khrch) vir xc'r tu di0nr cao nhat trd xuong riong theo til.ng mon thi lddat giai.cua',ii ht)c cuu nrot cop hqc xi't rrin r'ng s thi siih drr thi cua 'r,n rn6i rn6n hgc cua mQt cap rroc nr.ru sau: s6 girii nhit kh.Ig qua 5% so giai nhi qud l0%, s0 giai ba khong qu6 20%o vi so giai khuyOn khich khdrg clru !f6ng 25% 'l-hi sinh dat gir.ii sd cluo-c Giiim cltlc Sti GI)_D1 cAp gi6'y chilng nlidn vd duo-c giai thurng cr-ia nllj trri tr.tr lnctr cir) V Chgn thi sinh vio flQi dg tuy6n thi c6p qu6c gia cin cri kOt qud rhi cua.thi sinh vir k6r quri hoc tdp hoc ki t nrrn hoc 20r5 20_16, -Scr (;D-DT se chon tf,i da hoc sinh co diem ou nndt cua rn6i in6rr tr.en rn6i cdp hoc, nganh.hoc tharn gia thi Giai ro6n rr€' rndy rinh cdnr 1ay cap quoc gia Vl C6ng tric t6 chric thi., kinh phi 16 chric ki,thi l.(iirirrrdticStr(;l)-l)lr-r()Lr1 i,rtlinlrrlrirrlr l rl.cecllrii tltirrg la, in clc, coi thi chrirrr tlti plric klriro Cdc phd'g (iD-l)'I, tr-uong'l'l lp'I ,'f IGDIX, I"t.GI)-l)N srli bdo cao da'h sdch giao viirr drng day b.i cluong h.c sirrlr rharn gia.lu rhi ci[ trnh (ke ca girio vi6n thrnh gidng) danh shch cdc giilo vi6n <lang aay to.p 9, l2 de xu6t rl.ran.r gta da tl)i vir chen) thi rc Str (;D-l) l 1l)hu luc j.) chanr nlrit n_ri1 o6/ll/2llls theo ti6u chuin cluy dinh tai Di0u cua euy'che thi chon hoclslnh gi.i hien hdnh cdc trutrng 1-FIP1', cdc phong GI)-D'r'khong tham gia clu rhi hodJrharr du kh6ng dri rndn rhi ciing phdi d0 xuat girio vi0n tham gia a6 va charn thi Qui t'inlr, nghiip vu'ir in sa, cl0 thi c.i thi charr rhi va plrirc khatr;.Ii,-iu kicrn thrri hrrr phuc klruo vi6c ru ly r i plrrrr khen thrrring tltii rtii rrh0rrg ngtLo'i linr c6ng t6c thi vri thi sinh tharn gia dLr thi thuc hidn rhco eui tham -eia ch0 thi chon hoc sinh gitii c6p tinh hi6n h:inh ri Ki.h phi ru - irr sa,r tl.\ rhi di'xrriit chinrr thu.c - tlu hi; c.i - chirn rhr vir phuc khdo Sd Gl)-D I'chi tra Mirc chi thLrc hidn rhco eLr_r'ct dinh s 123/el)UIIND ngriy 0ll3l20l-l cila LJIINI) trrrh Bac I.ieu v.i vi.rc'c1u) ainn,r.,i, t i.r-ru corg tic xriy drrrrg ngin hing caLr r*rc nglrii.rn di rhi ri' i'hu.c cuc ky rhi phti vi khu vuc Vll Cic quy dinh kh:ic l lhi sinh lirn bii r'rrc tii'p va bu tli.tlri e'u S'(il)-l)l 1gii1 c in cl0 th6ng thi, nhirng o de r,d loi glii dap s6 vi ghi ciic burtc giai bai ua i, pna.n ainn kdm), kh6ng ldm brii viio trr giiy thi thong rhu.trng hoac giay kh6c; (4) l'hi sinh duqrc phip urang vdo ph<)ng rhi clc dir ding hoc tAp theo Vbn bdns65259/l'l Il''l'ngdy 141612000: mdyrfnhsLrdungldcdcloai rn6y: Casiolx500MS, llS; Casio lx-570MS IIS PI-tJS; Casio Ii-500 VNpl.t.lS; Casio Lr-570 VNPLUS, Virracal Vn-500MS, 570MS, Vinacal-5701:S l)lus va Vinacal-570MS New hodc c6c loai rniiy tinh c6 chirc ndng ru<rng ducmg vd kh6ng c6 thi nhir theo qui dinh Cric phu luc, biOu rnlr"r d ur.rc gu.i vao hop thu diOn tu cua czic don vi t)i nghi thu rrrro-rrg cac dtrrr vi t'icrr khri rhuc rritin thco clirng tinh th6n cong vdn ndy.'l'rone quii trinlr thrrc hirin, rrcu gi.rp khti khirr, vurrng rnii thi rhu tru.ong d<rn vi lien he so (ll)-l) l'(c1ua phd.g Khdo thi - KDCLGD), cri6n thoai 3()56671 dO duoc hLr6ng din./ Nrti nhftW - Nhrr tr'€rr; - Pho CD phrr triich: - Phr\ng GDTrI l C;l)ClN-CD t'X KHTC KTKDCL(iD: - Thanh tra Sti: - l-Lnr: VT Ea,n6hlgrry (5) l)hu luc l: Iliu l)irng lii sir lrrr.r.rrg tlu.thi (rl (tx)N VI l)u"t ilr) qA+ Viv Dirng ki'drl thi clron lroc sinh !ioj (, I I \l I ( | eill) l|llll tttrtD ltrre Kinh gLri: Str I)on vi hoc sinh ,eioi (l l'l M'l ("1'cip tril gi:ir \1 llle l:rccl) ('1il N(;ili,\ \/il.].Ni\M coN(; ilO,,\ ilO,\ xi ilot ilor ('iltl l)6c liip - lg tlo - Ilirnh phric (iiio ttlld.t thting tttint 20 duc r ij l)iio tao llac Li0u dirng ky tham clu, k1r thi chon rrrrh nrirn htrc 10 10 nhLr saLr: tl6i tur 0n lhi ils(; (;'l t lt t( 't li i Noi nh1n - Nhu tr'€n: - Lu'u VI lltia hoc nlt 't llr.)c ( 0rrl ilt iltt it\(; t)(t\ \ | (6) l'ltu lrre -l: \lirr l)irrg li,i tl:rnh s:'rch gi:iu riirr r:r rli r:hilrr thi trtr tlitt 1iii \1 lile er.clt coN(; rroA xi il(.)r ( ilrr N(;lli,,\ vlll-l NAM (t)oN vt r)(.i l)iic lip - 'l'u rlo - Il:rnh Jrhrie .,rr.gri1 1htitr9 ttin illr) S6: ./ 2l) rl^o c^o l):rnh sriclr giiio r i0rr rl:rr' b0i du'irng du tlri (i'l"l'I'l'fC'l' cip tinh vii rle ruit rlarrlr siich gi:irl viOn d0, chiinr thi (ki l llrio crio tlanh s:ich gi:'ro r i0rr rl:rr lliri tlur-r'ng hr.rc sinh ttrr thi cri girio r iirr thirrh girirrg): \lrirr lixin r :'t lOn I)anh srich giiio vi0n tlirr kip -l-l llo rri tcrr \lilrr t 1h:i gi elrir (lrtn \ i ll llll'l hoirc l2 rt0 ruit ( ri rg(iri lil) \irr sirrh \iilll rgit || ll cip lrnll thlnr giu r:r rt0 thi r':i chim thi l)lng n lhrrn (lit\ l)4,i (lU lhi (lur-rng l)i rrrit r:r (la tlri lli'rrrit 'l rrlir'rrg chiinr thi l.tnr i : -l - Dtli vtri chc tlrxrnu l Il) I : Mii Litrn vi giiii thilrr it nlrit I ngrnri nla)n lhiuu rirr r;r le thi I rrgrriri nrirn tlxrnr gitr clrinr thi (kcca rn0n liriin ltr-p9doi rtii ciic lnfa)ng llll'lcricrip IIl( SI - D6i r rii cac phirng ( il)-l) I : Nlrti dttrr r i r:iiri lhicrtr it nlrrit i ngLLrri nloll llliurr gilr llr eli thi -l ngLloi lrr'rn tltrrrr gia chinr tht l.urr !: (l:ic trur)rrg kh6.ng lhanr gi:r dr.r'thi hoiic du thi kh6ng gi:io vi6n lharn gia rl0, chirn thi \oi ttlnitt NhLr tlin: - l.Lnr Vl di nriin cirng phni d0 'illl 'il{t It\(; t)(t\ \'l ruit (7) I)h' luc 2A: Danh srich thi sinh rling ki dg thi (\h{p s(t (;t)-t)l tl^(' t.il.ttl 1'E\ IX)N VI tif Lr KI the NI.dulc Irccr Sri.gi.i t'ilt c]t(.)N us(; (;'l't'\{'t.(r'f (.At) TiNH NINt ItOCt 20t _201 r).\\il sAc]I 1'ilisr\rH)i\(; Ki t)t Tlil /Kint \liin th i I{1t vi j t0n I I r- c;i,ii tf nh \gir 'i.y sin h tltt,o ()tr.t.it tlinh r,; \rri sinh (tinh,'l'l') I ()ll- Kit rlu:i h r.rc tip l)1i n 'I'ru ilng toc l f .1 - trl Dutth sdtlt nil tri \ H 201 -201 lloc ] Iuc Ilanh KCt qui thi chon clQi t ur'0n (thang ki6nr _ - - thri,tg r'tn-4 tti ,'tnh ,i,:Vri /,r-gi, 56 lrrorrg \ritn Iling '['o:in l2 TIll, l' Vir li I2 THpt llria hoc l2 f lII'l' Sinh hr.rc l2 lIl,t' 'I o:in l2 (J I)l-X 'l o:in n.girt 2()1 t s6 llitng chi t -t -t : iii ttgir:' tltitt,q tttint 'l'h ti truong do.n vi (8) I'hr.r lyc 't 2li .\\tr ili stNil iltAlt t)tr K\'t'ilt ( il(.)\- lts(; ( \t,'r't\lt N.\Nt lt(.x 2{t -20 \t(i\ l)ANrr s,iCIt (;'t"t \l'r'( r' t)oN Vl: ,\rlr r\rrh {\() FIo :t\o ttr llo IS telrt -l-S llo .,\ n lr Al t +xo -lx6 tCn l S I Anh +x{) Io t€n TS I Io t€n TS I Anh :lx6 llo tcn Anh /\nt'l Anh {\o +\t) +\o Ilo t0n IS i S: I lo l€n TS t\nlr ,\rth .\ni.l +\() lr6 {\() llo te n llo til IS IS Arrh A nl) rl\O 4x6 Ho tdn 'f llo S (ihi t'hti te i\'r;rt n 'TS: t I I .A +\o lo ten 'l'S .\nh -t\o lo ttn TS IIo t8n I nh I Io t6n TS ,,\rlh +\o S Ho t6n lS Anh r'\ nll -1 \o :lx6 +x() IIo t6n TS: Ilo t€n TS: Ho t0n I S: ''''': Al't n ' p file unh thi tinlt thi kfuntg ttin n61t htinu nt)t l\ (9) l)hu luc {A c,rt[ilttlc Dt.t.ilI (;t^t -r'oiN't'tiuN MAy r.iNlr cAvl'l.nv NiM f to('2015-201(r tr,t(ln'l.t)Ax t.6t, t2 (li_ (;t)t,.t ) NOt t)UN(;, C 6n g vd tt s ij't011 tSC OOT- KT K D ngd1, N / fi /2 I cti a So C D_ DT) vi cria n6i dung d€ thi,.thuc hi6n theo Didu l€ t6 chuc cu6c thi hoc r tr6n rn6y tinh Casio s6 SZSgI-fnp'f ngAy 141612000, g6,n: - Cric bai todn thong thu6c chuong trinh rn6n hoc cdp hoc - c6c bdi toiin c6 y6u cau v0 rhuit r.iin hodc k! thu6t tinh to6n vd girii dugc bdng ki6n thric k! ning tinh to6n cti chuong trinh m6n hoc NQi dung cq th€: l Ki5n thric: Nhirng ki6n thfc co bdn c6n 6n luy6n: a) Ki6n thri.c kl'p t0: - Etli sii: + Phuong rrinh rn6r 6n, hc phuong trinh nhi0u dn + B6t ding thuc + 86r phuong trinh, h6 b6r phuong rrinh rnor 6n - Hinh hpc: + Cdc h0 thu.c lu<rng rrong lam gi6c, du<ing trdn + C6c quan h0 hinh hoc vir m6t s6 hinh th6ng dpng (di6m, duong :, thdng ) + Vccto vir toa d6 b) Ki6n thri.c tri.p I l: - Dgti sii vti giiii t{ch: + Ph6p biOn d6i luong gi6c + Phuong trinh, hQ phuong trinh lucrng gi6c rhuong gdp + Gioi han vA diy s6 + C6p s6 + Dai s6 t6 hcrp - Hinh hgtc: Khodng cdch, canh, g<ic, diQn tich hinh phdng c) Ki6n thric tri'p l2: (10) - Ciiii ritlt: + ('Llc tr'! cult hi\nr so I (;ll.N, (il\\ cLrrr lrinr so - I Iinh hot': + l'h0 tich khoi da clien r I Iriit tli.:rr r i ttri ticlr lilttli ltirtr rortr * Cltri.i': Nsoiti ttit'trttini4 kiin thfi't'ii'hu khii ttp, GV citn pltri.i 6n lul'Qn thOm cit'hii totirt sti lt?t', lt tltri't', ctic hii loin th{c ti khing tli cAp lrcng ctic' nQi drrng trAu trtn K! - (lhc + nirng: k! nitnq ctr batt: (iiai thrinh thao nrot sir phurrrrg trinh, he phtxrng trirrh bit phtrrrng trinlr cli hoc , ,.: | i ('ti ki rrirng hir-rrr rliri lLu.rrrS girrc dirr sti r:itii ltirtt e trt tlirv sti ri ltirtt sir + Vi'lrirrlr tinll toiirt tltl lli.:rl tltt rlt\e dicrr tich thi'ticlr : vi rtL lr sir lii'tr tlirr nrir - llttr thriP :tl ,.li,-rtt : I l'llirr ticlr sttr lttitt -t- (lili torin r ti r irr dLrng liiin thilc ttxrn ltoc ttott,sL ltoc tip r l + l'rI du)' [oltrln'i\ + Su clung + k- thuat lip tlinh slitrg tno vii khli thltc ticrrl cltri song (lin l(L1t hiLrr eo siira 't Stt tltrrts llrii\ tr.L lr'()ttr.l clie Ititttg cLta tttar' clr,r1'to1tn hoc vtii k1'thuit tir-rh tohn lrlii toitt tlltlc t!i ('iu lrric tl0 llri r rr thrrng tliirtr: I)C thi cti bii nroi bii l0 di0rrr qorn -1 bi\i llinh hoc' bai l)ai s0 r'i Gidi tich -1 Circ t:)i liQu thlnr kh:io: lu) lrr tlLrr thtrit torirr - l)ii'rr tltrtrn tltrng rtltrit tr'()rtg (lrl\ tfnh bo tiri (7'u Du.t I'ltroni4 - Vy lruttg ltoc phit tltOrrg) b) Cu0c thi "(iili torin tlcn nrhl tirrh" (lup - I 2/2oo I : ri - u2ttttz, c)(iiii toirn tr0n nrir1.' tith (tttp chi'l-itt r'i lttrc stt tltrrrg rtrlil clti'littin h9t'rti lt7t'vi Nltti trtri'ng) T-triti lrt sit ll (11) d) I)hLr.rrg phirp s0 gi.i gan cr[ng phLrong r'inh rrc' nrdl, tinh (I'tr Du.y Ithu4rng, Ngu.rtin l'ltti Thut'h, Irltt!nt IItrt, Ditn).c) Di thi vd clhp 6n gizii toh'trc'r nrdv tinh ca'r tay trnh, khLr cac 'r)ng 'uc ndnr cria Sti, lir Gl)-l)'l l) Di' rlli r a elc tlii liurtt tlrunt i(lrJ() iuil ,.ric tirrlr tlrirrh Ilrt', tli'rr lrrtcr.rrct -LII:'l' - \ ll (12) l'hqr lr,rc 'lli NQI I)tiN( j ('AU'ilrt'r('t)t Tlil ctir t'oAN TRnN MAy liNu cAnr rny NAM uoc 20ls-20t6 nrON 'l'o;rn l,(it,9't'ucs Cong viitt s6 fi[J.,tSC;DDT-KTKD ngir1,Q6.,/.10 ,'2() l5 t.ua So GD-D|'t 6m vi cLia n6i cl,ng clO thi, rhuc hi6n thco I)iCu ler to chuc cr:.c thi h.c toin trin rlal tinlr ('rsio s0 5159, llll,'l rrgi_r l416/10(X) ltorn : - Crlc b:ii to6n ph6 thong thuirc churrn_e trirrh ut6n hoc, cAp hoc - c6c bdi torin cir y6u cau v€ thudt toan hoic k! thudt tinh to6n va gidi ducrc hlng kiin thuc ky nang tinh to6rr ci) tfone chlxltg trirrh rnon hoc N6i drrng cg th0 : l Ki6n thri'c: - Circ kien thilc tohn crr bur.r cua bac hoc 'l tt('S - M6t s6 kiOrr thuc to:in nang cao cua b{c hoc I'l ICS nhr-r: -' l'lrLril r()in (X'l.ir ri'tirl Lr'('l N + Dlnh ly, l3ozu vC s<i du pherp chia da tlru'c + I)ong dtL thflc, clinh lli licr.rlat, dinh ly Olc + Circ l<ien thiLc vc ho/rn vi, chinh hop, to hop Ki6n thi'c ue Aay.6 ( ciicliiy: Iribonacci LLrcas Iribonacci suy rong, cAp s6 cong, cAp s6 nhan.) + Ki6n thilc licn cluan n-qhiearn nguvOn cua phuong tr.inh + Kien thirc li0n quan v6 so chfnh phr.rong, Ki ndng: a) 56 hgc: -'l'im tJCl.N.IICNN - 'I'im s6 dLr cua phcp chia l'irn chii's6 tAn cirng rr6t tfch, m6t liiy thu'al trrn ch* so; o mot hdng bdt ki phcp chia - ('dc diu hi0u chia h,-it ch<t 19.5", t - Ildi tap li0n quun lien plriin so - Bdi rap li0n quun vi sCr.chinh phu.o-ng - Bdi tAp v€ s6 nguydn 16 - Rdi tdp vd day stl ( Iirrr cirrrg llt(r'c lting quit liip qui rrinh lirn so hang cua ddy, srr dung tinh chAt cr.ra day de girii to6n ) - Bdi tdp vdn dung v€ hohn vi, chinh hop, t6 hor - To6n lcri rac b) D4i s6: - Tinh gi6 tri bieu thric dai stl, bi6u thirc luirnggi6c - X6c dinh cric hQ s6 cria nror da thuc li viii (13) - -l'irn s6 cllL t'ong phep chia da thftc; tim dieu kiOn cua tharn sir d€ da thirc chia h6t cho cla thirc liav hai da thiLc cri nghiern chLrng - Ildi tAp v0 hdm sO Uac nndr, hdrm sdbac hai -'l'irn nglii6m cLra da thirc, nghi0rn cua phr-xrng trinli, he phutrrrg trinh -'l'irn nghiin.r nguydn cr"ra phurrng tr.inl.r - IoArr vt1 ting trrkrng tlrorrg kc - Cidi b:'ri toirn birng crich lap phurrng tr.inh hav hc phurrng tr-inh c) Hinh hqrc: - Chung nrinh, xAy dung c6ng th[r'c hinh hoc -l - irrh dt) dni dttan thdng tinlr stl gtje -'l'inh chu vi, di6n tich cnc hinh dA duoc cli cep chutrng trinh to6n 'I'HCS C6u trric dC thi: (iirnr b:ri, miri br'ri l0 di0m I}\i I vi lldi 2: 56 hoc llii i r i llii 4: l)ai st' l}ii 5: Ilinh hoc Tii liOu tham khio: - Giai toirn bAng miry tinh CASIO l;X 500 MS ltip 6,7,ii, 9, l'ac gia Nguyrln 'l rudng ChAng, Nhd xLrar brn t)ai hric (luoc girr l.h:inh ptr6 ilO Chi Minh - (iini toirn bang mav tinh CASIO [X 570 MS lcrp 6.7,8,9, lic gia l-€ It6ng I)LLc va I)ao Thicn Khri Nha xLrir ban Ihong k€ - M6t so clarrg loirn thi hoc sinh gioi gihi tohn bring rnuy rinlr tlicin 1Lr, 'l'dc gia lr l)Lr1 l).lrrxrrrg vi l)hi-tnr llri Ilt'rng | 1, Nhi rirat han (iirio duc - Clhc dd thi hoc sinh gioi giai todrr tr'6n m6v tirrh CASIO rir 1996- 2004, 'lic girr: lrt.l )Lr1 l)hur.rrtg vi Ngtr-vi'n llri' I lraclr Nhri xuat lrrrrr (iirio tltrc l(){)(r - C/rc dn phem clta Vu l lLrrrg hoc co licn cluan r cl girri toan bing rnil' tinh di6n tri - ( lic bri i ii't ding tritt lriio l oan ltoc r i tLri,i tlrtr vi eitri trrarr tr',.irr urAr tinlr di6n tu - l)i rhi ri tl:ip rirr (iiai trtirr birg rnri-r tirtlr rirrru trrrlr l<lrrr rrrc lroic tluoc gia cdc ndrrr cua So, llo CI)-D I dC boi clLrirng toan l'l I(lS- Da thilc, lAc gizi: l)han IILry Khrii, Nhd - ChuyOn xuAt ban (li6o cluc 200(r - Chuy€n de b6i during so l.roc, 'l'ic gid: I)lran FILry Khrii, Nhd xLrar bzin Gizio dLtc 200(r -ll6r ix (14) Nor ru Nci:?]'il''i':i, D.'r r r GIAI'I'OAN I'IIEN MAY-I'INH CAM TAY NAnr u<2c 2015-20r6 uroN vAlr.v r,tlp lz theo C6rtg rtTri sri 1053.,:SG l)Dl -K7'KD ngd.l116./ fi /20I cua So Gl)-D7') t)t.r\(i l ill: ttli thieu phni bdnr siit chuin ki0n thrrc, ki nlng cua chuong l'l IP'l' chuAn vii nang cao 'l'rong cki cir.r chir y cl6n ki ning tinh giir NQi dung thi tlinh VA1 li tri cia rn61 dai luong vAt l1i cio bdng thuc nghi0nr (nhting bdi to6n thr,rc hirnh thi nghiQrn) N6i dung cu thc nhu sau: I'hin ( ltri tltl rrrirn l Co hoc l NhiCt Di6n hoc vi dong ltLc 'l-inh hoc Crr hoc vit rirn l l)ong hoc hoc lx.rc chit clicrn Ccr rrang Cric mriy ccr C6c dinh luAt bao toirn I)ao d6ns cry stlrrq ctr Am hoc luirni, l Nlriit (lo NOi nlns nlnL Nhi0l , ' ',i' l),'rrr,, h,r, ph_i1t1r rrh:lrr rrr r',i,','h:11 ] llQ1g!ryc I " '"' _' " 'l-irrh :.-Tinn inlt chAt nhi6t nt.'iet cia ,i' chAt ldn, chAt l<ing, ch6t SU | L I chuycln th6 J Nhiet Nlriit d6ng dirnlt lrrc hr.rc h,rl Circ rn/r1, nhi0t I -1 l)ie rr tich tie lr cliin tli.rrr trLLirns lrrrr nlinu lrr.rng di0n trtrirn IlL l)icn l l)ong cliin lihurrgl lihurrq tliri t I)ii'rr rrlng F I)<\ng I)<\nq cli0n diCn tr'ons clic cr lnor rnoi ll'ucrng trucrn 't 4.'l ilr, tlurrr-rq t,:u.rng Nang lrILrrng tir tfLron_q [+ .5 ( rrnr irng rrrrq diin tir (( ric rnrir diCrr | I)ao l)rto d6ng dorrq (li.rn cli0n tu trr cldng di0n xoal chidu l)ien tu ] _1t,'grng Song di6n tir I SLL tlr-n,0n I l tlLr-r.'rr rrrrh rinh sarrg srirrr ( lit rlLrrrg eLr rlliur! r I Quang hoc II CAU TRilC DE.I.HI ^:,.:.thi gtirn co 5-, : D€ bAi ttxin rriur trorrg git'ri han nrli dLrng thi chrLrrng trinh n-r6n hoc cdp hoc ('ec hAi toiin cti yeirr cau vi! chch gieii vd ki thLrAt tinh to6n co su hir tlo-' cria rna.v linh cirn tur PhAn bil bAi toirn tlon-c cac phin ki.in thuc hi nirng l:i: I (15) l: D6ng hoc chAt cliirn clt)ng luc hoc chat cliOnr, c:ic dinh luAt bao - Bdi toan llii 2: NhiCt hr.rc llai -l: I)i0n tich cli0n lliri 4: QLrane hinh tn-ror1g clong cliqn kh6ng cloi, cam irng di0n tu - Itlll Ilu i ): I)ao dong c0 hoc noac hoirc drcn 5: lJao co lloc d icn xoa) clrcu ch icu 'i": thi gonr i phin: I'han clau bai toiin, phAn ghi cdch giai va Mtli bai tlong cli phan ghi kOt c1ua ( I)harr dau bii la mot bai toan tu luAn cr-ra bo mon duoc irr sin d6 thi I)hAn ghi circh _e.iiii:yCu ciu thi sinh lLxrc ghi t(in1 tit cich girii bang chir vA biiu thuc cirr tinlr tolirr k.it qul I'lrin ki't qur: ghi drp sti hii toln) ilr HU(iN(; r)AN cr^cH r.AM rlAr vA'r'iNil r)il,rM '.,i I)i girri rrrtlt hii toiirt Vit lj tlri sinh phrti ghi turrnt unr tirur til ejclr giri "| i't vd drip sd viro phan'-Cach giai" ri tlrru" cti sirn cli thi.'l'hi sinh can chi 1i nhinrg clicrn saLr dil,khi vin dLrng giai ciic bii toirn vAt lyi tr0n mdy tinh carr tay: l (ihi tit bli ttrrirr rtr k.it lrrrr titrlt birrg e hir l.ier ke cdc thao tric in phirn r i ghi ki'r 1Lu hi6n tlri diy phAn chch girii (n0u cle Icu ciu) vrirr ciiclr girii clLr ctia nrhv tinlr 'l nrng cluh trinh tirrh trxin, crin lrir' li,-lt quii cho phc1.r rinh tiep thco thi lanr trirrr dOn:1 chir so thip phin (cin chi la li0t (lul lruns gian trrrnq |hrin chch gi:ii) dlt clung nthl,tinh cirn tal'c<i cuc hing sir r it siur tfon-c rnir, tinh clO rinh toin SLL (lhi lr kCf cluu cLia biji torirr ll\nr trr)n cl0n -l chir s,r clurrc nhli san xLrit ciii tltiP |hijn \i rlrrrt r i clai Iurrrrg M6i tr.ii toiin cltroc chinr cli0m thco thans cliCur 10 l'hrin bo diCnt nhu sau: I)hin cich girri tliuirtr rii pluirr tirtlt tourr lu kc't r;ua clrirrlr xlc ttri J clrLl so thrip ; .: pllJn.thc() litr cliu crrir tli'hr\i tlii'rrr l)itrrrr ctrr rrrot bii ttxirr bilng trltu cliirrr cLru phlin tlCn Di6nr cr.ra bii thi lri tong cliCrr chO thi) ctia br\i tohn bii thi cr,ra thi sinh larn clr.r'rrc (khorrg vi phanr -ilCr - ri c1r"ry (16) l'h r,r lr.rc;ll): CAtrrnfc Dn ]-Hl (;rir ro^N TrrIN MAy-lii,ltr cnna'r'ny NAM HOC 20ts-2016 N.r6N ll<ia floc 1.6t, t2 NOt t)UNG, ('6rtgvin.ti1051 SGI)l)7'-K'l Kl) rtgitrQ5.,.lA I l)t ,'l() l.t trra SttGt)-D'f) \(;'t ill A V0 kiOn thric: Cdc ki6n thric chLrong tlinh ^ the) , l l'liP'l'rhu6c c6c linh vr,rc sau: ^i Cdu tao nguy€n tu (c6c loqi hat, nAng luong, phong xa vir hat nhdn, tinh Cdu tao phAn tu vA li0n k6t hoa hoc Phan ung oxi h6a - khLL CAn bing h6a hoc T6c d0 phan ung vd nhiOt dQng hq;c phdn fng Dung dich diQn ly X6c dlnh thdnh phAn h6n hop (c:ic chAt ver co, Xric dlnh cAu tao va dinh tin hiu co) ch6t h*u c<r chdt vo co ning tinh to6n: l Phcp tinh c6ng, tlu, nhdn, chia B Vd ky thOng thrrirng I'}hcp tinh cQng trir c6c phdn s6 l'}hep tinh binh thucrng s0 rnil khai cdn Phep tinh logarit (log, ln) vd d6i logarit Gidi phLrong trinh bAc nhdt rnirt An I'hip tinh cdc hArn sri lutrng gi6c sin, cos tg, cotg Giai hd hai phucrng trinh bic nhAt rn6t An Giai he ba phutrng trinh brlc nhdt rnirt (iidi hC phrrong trirrh bAc I rnot in in 10 Giai he phucrng trinh bAc rnot dn II CAU TIT.UC D[, THI G6m bAi, l0 didrn/bdi V6i PhAn Uai gitm: thf nh6t: HS trinh bay loi giai v6 nQi dung h6a hgc \lt (17) ('iu trirc cac bai thi nhu srrr.r Udi l : CAu tao r.rgu1'Cn tti (cac loai hat, ndng luong, ph(rng xa r ii hat nhan, tinh th6) I}ii '' tlii 2: ('iLr tao phin trl ri lii'rr lii't ht'a ht,c [)ung dich cliCn ly -l: ldc dd phnn iLrrg; (ian birrg h6a hoc vA nhiCt dorrg hoc phdn ['ng ,'.i Bii 4: Xric dinlr thrlnh plrrrn oxi hoa - hirn lr<rp {cic chat ro etr hiru ctr) l)[3n spg khLr' ; lliri 5: Xrrc dinh clu tao vl\ clinh tcn chat hiLu ctr, clrat r'0 co III HT'()N(J I)AN CACII I-AM BAI VA ]'iNH DII,.M IX gili rntrt hei ttrin lltiu lroc tlri sirrlr plrli ulri turrrri unu t(inr tilt lili giri r,6 n6i clung l.r<ia hoc, su clLrng rnav tinh bo tiri d0 giaii phLrrng trinh vij ghi k0t qua tinh to/rn viio cac phin trxrnq ilnrt cri sin d6 thi Mni ttii toritt rlutrc e hirrr rlii'rrt tlrL'() tlrirng dii'rrr ltt l)ir'n) r.'Lrr hni tlri lu ttrng dii'ur thi sinh Ianr dLurc (kh6ng vi phtrm cluy che thi) cr-ra bii tlong bdi thi -llCt - r iii (18) l'hg luc 4li: NOI I)tJN(;, citrl'l{(JC +)E 1'lll (; rAr rbAN't'lruN N{^Y f iNll cAM'l'Av /hm Hoc 20r5-2016 MON slNH Fl(.)c L(tl' l2 sa GIAODUC vAoAoiro tg r;,,,.r,1)nij SGDD'r-K'l'KD rtgin.tfi./.{l0 ,20t5 c.uu So GD-DT) (;'illl L NQi dung cin t4p trrrng biri drlirng - Va ki nirng: (iiai c6c bdi tdp ttr ltran va ki nirng linh cAr-r-r vir toan bdng mdy tinh tay ] Ve f,.i6n thuc: N6i dung chuong trinh Si'h hgc llll'}I cl-ru yer.r sAu) (chLrAn, nang cao Cu the : 'l N6.l d";g - ron r,uy-n irc 't ' ll L l fhanh phAn hoi nos ""6ua" , \ chdt qua rndng t€ bdo' 1.1 V4n chuy€n c6c l.l I bdo' , ho6 v{t chdt v2r ning luong te l.-1 IPh6n biro vd c6c quil trinh li€n cluan den phan l.l (phiit sinh giao tu, thu (l)llilt 1.3 (Chuy€n o l.l Sinh hoc ' t0 bdo bao tinh)' Srnh hoc vr vdt h<ia vAt chAt vA ] ning ' I : rh l1i thuc vdt Sinh at 1.1 i.l ' Sinh tdt I I Cu hria (Y cl(.)ng chO cua hiOn : tlO vit ! i ; (-ric nlrrn t() tlcn ll()[t llcin rluatr dcn cutt tl'tlc (ll lrtlycn Ctlil t'i €n hoa r thi - D€ thi gdnr bii I tuqng di tluYcn vr\ bicn (l! y lLrat cua hien ttror-rg di trLry0n a.1 r.l i trr-'ytn ht2c cludn th€ ).1 I)i truyOn hoc ngtLiri o Di truyen nQc uanq h op va h6 h6p o thuc I at inh sun ti thuc vdt ho lr p tuan 'noan nh slin ri dQng vAt -ll 111'*1' I +._.t II CAu trirc I I luongtrVSV' l.l Sinh trutrng vd sinh sdn d VSV ^l l.It flao diri nucrc vd khodng o thuc vit' -] t rh l.l srrrlr -.t (tnuy0n I torln (nr6i br\i l0 ctienr)' thtri dung lhu6c cac phin: Bai I ( l0 di0m): Sinh hoc vi sinh vAt' Bai ( l0 clicm): Sinh hgc t0 bito' Bdi :i ( l0 di0m): Sinh l1i thuc vit vii sinh li d6ng gian vit' xlv _l (19) Biii (10 diOm): Ctr chi'cuu hicln ruong di Lr.u1,dn vii bicn di, c6c quy luat cua hiCn tu<rrrg di lr.uycin vu cli tr.uyin hoc nsu,oi Bai t l() dicinr): l)i rr.Lryi.n ludrr rlri uii iii,,'rT,o" - Ydu caLr nr[r'c cl6 cua ct0: I)0 cldi h.i khd nang tu xac co kiirr thrrc lidrr quan den rrron L.,,in flr, nOu lll Huring tlin c:ich lim crlry cao, tinh todn chinh brii vr'r tinh di0nr giai nrot bai rodn Sinh hoc, rhi sinh phai ghi rutrrrg img lonr tit cdch gi:ii vd k0t c1u viro phar.r khung crurii cau dwrc i,iran tru,rlg ralni 'r6i M6i.bii chrrl clii.nr rhcrr rhar.rg cliirn 1,0, 96nr plidn: l,r:n 9:1,) - Phiin circh gidi v:i bieu rhilc cAn rinh ro;n: c1i6m; - Phin l<et clLri'r: clidrr (chinh xhc roi chfi.s6 thap phin, n6u chi sai rnirt so thdp phirr thil J - rrir' 50'o dir'rrr l<ir t;Lre rr.iu sai tir ti, 11,,,in phan thtl j trtr vi, truoc ' kh6ng cho dicm ket qir:i ncu k.hirng th€ hi€n phin i.crr giai rhi phi, ket De quA sd kh6ng cluoc c6ng nhAn cho clir kCr quii c1[ng Di6nr cua bii thi la tong crirrm uur thi sinh lam ducrc (khong vi pham cluy ch6 thi) cua brli toirn bli thi -il0r - (20) l)hu luc.lF: NOr r)uN(;, cArJTtrtc Da t'Hl (;rAr roAN-t'trriN Miy TiNrr cAru Tny M rroc 20rs-20t6 m0x't'txx Lot, r2 (uu (;r)'t'x) tn g t,ii ru n s o 4Q53 SG D t )7 - Kl' K D n gin, & r 10 t ( ) I c' t r ct So G D-D|" I biri du'tlng: - Hoc vi6n thOng hi6u cdc kien thfc co ban cua ndi dung bOiduOng (dinh nghTa, dinh ly, h0 qLrti, circ cOng th[rc, circ phuong phirp giai to6n Ii6n quan) - Hoc viOn vAn dung thAnh tlrao cdc ki0n thuc co bzin vdo gidi to6n voi sy ho trtr cria nray tirrh cAnr tay ll- NQi dung bdidrrdng: r- r0 n{p: - Qui tac clCnr: QLri tdc corrg rlLri tirc nhAn - Ho6n vi chinh htrp to htrp - Nhi thuc Newtor.r 2- Dsi s6: - H0 phLrong trinh bdc nh6t hai An, ba 6n, b6n An - Phuong trinh bAc n (, e ,r > ) ^,{ phu'ong trinh bac nhdt biic hai - tsAt - Phucrng trinh vti bAt phuung cti ch[r'a nriu th['c, can thilc .': - Phuong trilrh vA b0t phutrng tlitrlr rrri - Phucrng trinh vir bdt phuo-ng trinh logarit - GiAi m6t s6 bdi todn thuc rC hang c6ch lAp phuong trinh, hC phucrng trinh l, zti, t : ^ - Cap so cong, cAp so nhAn 3- Lu'grng gitic: - ly :, s0 lur.rng giiic tant giiic vu0ng - C6ng tlr['c luong gitic co ban - Gi6 tri luorrg gi6c cua c6c g6c (cung) c6 li€n quan dac bi6t xv' (21) - Cdng thu.c c6ng, cong tlrilc nh6n tJ6i - ('tlrrg rhric hiCrr d0i rrirrg thirrrlr ticlr tich rhr)nh tong - Phuon_e trinh lurrng gidc co brin - M6t s6 phuong trinh lLr.rng giirc thtLong girp 4- Gitii tlch, hinh h9c girii tich - l'fnh gi/r t'i hanr s6 thco circ bi6n s0 ch'tr.L c (clr[r tr.ns ciic ha'r so cri ch[.a c" rhL'c, niLr thirc, hiinr rL'r'g -qihc, hdm n.rn, i.rai, L,uorirt - I)htnntg tr.irrlr tielP ttr-r elrt r tii cluirng corrg -,Str ddng biCn, nghich biCn, cLr.c tri cila hinr bAc 2, blic 3, rr.Lrn_e phurrng, hum hilLr 1,r,, hirn cti chila hrinr lLlong giiic - Gia tri nhr) rhlit vi t'i rrin hat cLia circ hiinr ncLr lrcn trcn nror -r{iir doan, rnot khoiing, nfa khoiing - Kh'iin-q crich giira dicrrr cLre t'i eur.rtl thi hiinr s -.I)huong"tlinh dLrring tlring, gric,uiira hli du.irng tlrirrg, khoiing tir ntrit diCrn cl0n cluong thung - l)hu.r-q trirh dLrrng trt)r, phutrne trinh tiip tuycn - I)hutrng tr-inh cluirng clip - 'l'inr giao dicn cAch cLia durrng tr.r)' thiirrs r tii dutrrrs co'g, cLia crutrng cong cLra crLrirng voi dLrdng cong 5- Hinh hgc pltiittg: - llinh thang, hi.h binrr hiinh, hinh chi'nh.t, hinrr thri, hirrh vuo'g, hinh tlon vd cdc cong thLrc tfnh chLr vi, cli"^n ii.h rra -'l'am giac dt)ng ciang, dinh - Chc h"^ - Cdc h"^ thrLc 11, n,i l'halcs thuc lLr.trng troltg tant giric vuOnt llong tant gi1tc - Gidi tarn eiiic - I)inh 11 r'c clurrng phan gitic, clu.rs trL'-q tr-\,c ricn cluan clcn cac clrrtlr culr rrr0t (lrrrt Llilic 6- tlinh hgc khAng giurt: \\ ll (22) - I)utrng thirne song song vtii rrat phing, ntirt phdng sons mdlphing - I)Ang tlranc vrrons gric matphang vrti sor.r-u vr'ri rnirt plrang rrrat phing vuilrrg ut)c vtii - (itic giira tlLrirng lhrirrg ri truit pharru utic giiru hui dtrirrrLt thang; l<hoang ctich til nr0t diCn cl0n not nrirt ph:ing, khorins chch giira hai nrat phang song song, khoiing cAch giiia durrn-u thlirrs vit rnirt plrting song song - C6ng thilc ve tinh clierr tfch xung cluanh, dierr tich torin phrin, rhc tich cLra lan-u tru, hinh hop chil nlrAt hinh lAll phurrng hinh chtip, hinh ch6p cut, hinh caLr, hinh tru, lrinh n(tn lll CAu trric tld thi: (ionr hai rnii tlii l()dicrn thirigiarr lrnr s6 - Girii tich bi\i I Iinh hoc _t bii tX)plrirt girrn:3 hrii I)ui tCr _ \\lll (23)