GIAN6 DAY Ll LUAN DAYHOC TOAllJ (PHAN CU THE) (iimaijHictaOTWMSffcipeAJHocsuPHM^ Xudt phdt h> myc fliu ddo tpo gido vlin, vlfc dgy hpc Todn so cdp d cdc hudng dpi hpc su phpm (DHSP) edn ddm bdo cho sl[.]
GIAN6 DAY Ll LUAN DAYHOC TOAllJ (PHAN CU THE) (iimaijHictaOTWMSffcipeAJHocsuPHM^ o X udt phdt h> myc fliu ddo tpo gido vlin, vlfc dgy hpc Todn so cdp d cdc hudng dpi hpc su phpm (DHSP) edn ddm bdo cho slnh viin (SV) b l ^ cdch riild k l bdl gidng mdn Todn d phd rildng dya h i n vlfc djnh vj bdl tpo dd: + Vj M cdo bdl hpc hong chuong Mnh todn jshd rildng tu niu hpc d i n hpc phd rildng (THPT); + Vj hi cOa bdi hpc dd hong khoo hpc hidn hpc; + Vj hi cuo bdi hpc dd hong Ijch su hlnh riidnh h i rildng M riiuc todn hpc cua lodi ngudi D l gdn k d giira l i f i dung dpy hpc Hlnh hpc so cdp vd Dgl so so cdp, h i n eo sd e d e k d qud nghiin cdu (1), bdi vllt ndy d l c f p vdn d l gidng dpy li luf n dpy hpc todn (phdn cy Hil) giSn vdi nhOng nghiin cdu CO bdn v l Todn so cdp cho SV khoo Todn d ede hudng DHSP I Gidng dgy Phuong phdp dpy hpc (PPDH) nhOng n f l dung cy thd mfin Todn gdn vdi Dpi sd so cd'p vd Hlnh hpc so cdp Trin eo sd phdn Keh chuong Mnh/^POH nhung n f f dung eg mi mdn Todn d gido hlnh (2) vd (3), ldm rd mdl quan h i giOo Dpi sd so cdp vd Hinh hpc so cdp vdi mfin Todn d THPT, dudl dfiy, chung Idi minh hpa vlfc gidng dpy Chuong 2: Dcyhgcphuang trinh (FT),hf phuong Irinh (HFT), bdl phuong trinh (BPT) cua gido Mnh Phuong phdp dgy hgc nhi/ng ndl dung c(i rfi^mdn Todn qua n f l dung va bifn phdp sou: Trin CO sd SV dpc tdi lifu vd nhOng kit qud nghien cuu v l Todn coo cdp nhu: II N f l dung kiln thdc ve «Phuong M n h , hg phuong M n h , bdl phuong Mnh" Hip c f n Id gdc d f «khoa hpc todn hpc* (chuong - D p i sd so cd'p (1)); 21 Li ludn dpy hpc «Pnuong hinh, bd't pnuong trlnh' hong hoi gido hlnh (2) vd (3), gidng viin (GV) cdn Id chuc cho SV t f p d l cvong nghiin cdu, hd Idl ede edu hdi, riiyc hifn nhifm vy riieo vd'n d l sou: Vin di 1: Ting man vi FT, HPT, BPT G V cdn Idm Id cho SV v i : + Qud trinh hlnh riidnh vd phdl hlSn cuo li riiuylt v l PT, HPT, BPT; + Mpch kle'nriiOcPT, HFT, BPT hong Dpi sd so cdp; TS NSUYINANHTUAN + Vj h i vd vol h d cua PT, HPT, BPT hong khoo hpc todn hpc Vin di 2: PT, HPT, BPT chuong Irinh mdn Todn d phi thdng Trong dd, GV Idm rfi cho SV: + Mpch kl6i rildc PT, HPT, BPT dupe Mnh bdy vd sdp x ^ hong chuong Hnh SGK mdn Todn d phd rildng quo ode cdp hpc, ^ hpc ndo? Theo quon diem vd nhihig cdch riiOe flip cdn ndo? (riiom khdo cdc Idl litu (2), (3)); + H f rildng hdo o k khdi nifm, h'nh chdt, quy Idc, cdc dpng todn CO bdn vd phuong phdp (PP) gidl PT, HFT, BPT hong chuong Mnh lodn rildng Tlm hilu co sd li riiuylt idng qudt cuo cdc PP gidi dd hong Dpi sd so cdp Vdn de 3: PPDH PT, HPT, BPT G V cdn Idm ro cho SV: + Phdn Kdi bdn ehdl todn hpc d cd hoi phuong dlfn ngu nghTa vd cO phdp cuo PT, HPT, BPT; + Phdl hpp giOo phuong dlfn ngO n^To vd cu phdp ^ PT, HPT, BPT; + Cdc hudng hpp cOo l f p xdc djnh, t f p hop nghlfm hong qud Mnh b i ^ ddi PT, HPT, BPT Phdn Kch co sd vd bdn chdt todn hpc cuo ode phep blln ddi hiong duong (Idp hgp, hgle lodn, phip lodn, dnh xg, ); 10 dd cho riidy, hong dpy hoc todn d phd thdng, gido vlin cdn hudng ddn hpc slnh (HS) bilu diln nghlim bdng kf hliu t f p hpp, bdng hlnh dnh h i n hye sd, h i n mfitphdng Ipo d f hofc h i n dudng hdn don vj, ; + Phdn Kch nhOng khd khdn, hf llidhg hdo cdc sal ldm cuo HS gidl cdc bdl I f p v l PT, HPT, BPT vd de xudi blin phdp glOp HS phdt hlfn, Hm hilu nguyin nhdn wd sda ehuo nfivng sal Idm riiudng gSp;+Tfp nghiin cuu vlic v f n dyng Dpi sd so cdp d l nhfn dpng cdc bdl todn v l PT, HFT, BPT d phd rildng, Kr dd, Ibm CO sd cho gldo viin riii6 kicdc hopt dfng diw hoc, giOp HS Hm cdc hudng gidi quylt i « n d i Minh hpa v l f c v f n dyng c a sd li riiuydt hong Dpi sd so cdp vdo dqy hpc n f l dung tGldledcFIb^ba,hdcb6nvdPTbdeeao' dTHPT Mot sd CD sd li riiuyll v l FT bfc coo hong Dpi sd so c ^ : - Cdng riiuc Cbrtfcno: Gidl PT bfc tdng ãlôi|l)itôcsIpb)aUIIôi Tjp clH Blao dw so 282 pa t I/»DH) qudt ax>+bi^+ex+d - (a«0) bdng cddi dft X= + b)(x + c)(x + d) = m, vdi a t d = b + e Df t dn u + V idt dua vl dpng A]^-Bx-C-0,vdluvdv phy t = 1^+ (o + d)x,taduo dvpc vl FT bfc hoi: (t + od)(t + bc)-m u' +v d) Gidl FT: (x + a)(x + 2a)(x - 3a)(x - 4a) riido mdn ^C')-l-B)' Dftt< 3in> = 6a' Vfn dyng PP h i sd bdt djnh d l dva FT dd Hip tyc giU ia si Hm dui; lii^-CL(x-a,)(x-aJ (x-aj;-7)SucAu&Bsaisit9ln: Neu chl gidi PT ndyriieoeon dudng cu phdp PrdailiOcd?iig(v vdo nghTa cOo cdc khdl nifm; fiPT, «nghlfm phdl b n^ii|m ngiAin x = m vd m\a„ cuo PT", «FT Hch", «phfin tich dariiOeriidnhnhdn To o&rillkhal ihdc mft sd kilnriiucndi hin d lhi", «gldl vd bifn luf n PT ehuoriwmsd*, tacd vfn dyng hong dpy hpc gidl cdc PT, HFT, BPT huurill phdn Hch: 2x' + ax= - 2ax - a = = • rf + (x'H d THFT Trong chuong Mnh mfin Todn d THFT 2x)a + 2x'= - (a + 2)d(a - x*) Do vfy, cd rill vllt khdng dua vdo cdcifriiuyltvl FT bfc cao, PP gidi kjl FT Id (x' - a)(x + | ) o (x -Vi)(x +Vi)(x FT bfc 3, bfc 4, Tuy nhlin, niu GV ndm vihig +^) = 0' Khi ^ ' 1^ ^