GIUP SINH VIEN Sir PHAM M DITNG HE THI ING BAI TAP TROHG onV HOC OlOO TORO CHO HOC SIOH TJ^U HOC O ThS, NGUYEN TRUOfNG SINH'''' " 1 Khi gidng dqy hqe phdn «fhuong phdp dqy hqc mdnJTodn'''' trong ehirong Hin[.]
GIUP SINH VIEN Sir PHAM M DITNG HE THIING BAI TAP TROHG onV HOC OlOO TORO CHO HOC SIOH TJ^U HOC O Khi gidng dqy hqe phdn «fhuong phdp dqy hqc mdnJTodn' ehirong Hinh ddo tqo gido vidn Hlu hqc, mdt hong cdc myc Hdu quan trqng td glOp sinh vidn (SV) hllu vd ndm vihig chuong Hinh mdn Todn d Hlu hqc D l dqt duqe mye dfch ndy, gidng vidn edn cd k l hoqch gioo eho SV (hodc mdt nhdm SV) nghldn cOu mdt eho d l kiln thuc chuong trinh bdng edeh xdy dyng h$ thdng bdl tdp dqy hqc phdn dd 1^1 phdn chia cdc chu o l Idin thuc ndn chlo theo ede ehO d l nhd vd gioo eho SV dudl dqng bdi top, mdi SV (hodc mdt nhdm SV) mdt chO d l kiln thOc Mdt sd chudn bi cOa SV hud*c xAy dyng hd ihdng bdi tdp todn a) Nghiin euu kTchuong h'lnh di ndm duqc h-qng tdm, mOc dd ydu cdu, quon d i l m xdy dyng chuong trinh eho phO hqp vdl khd ndng nhdn thOc cOo HS Hlu hqc Mdi lldn hd giuo ede mqdi kiln thOe, sy phdt trlln tung mqeh k l ^ thOc chuong trinh ThS, N G U Y E N TRUOfNG S I N H ' " kit qud eOo lodn bd qud Hinh Cdc dqng bdl tdp cdng phong phO Hii sd cd nhilu Ong dyng vd Hd rtidnh cdc ehuydn d l thom khdo tdt Vf dy: Xdy dyng hd thdng cdc bdi todn v l quy tdc thyc hdnh bdn phdp Knh Dqng 1: Thqc hlin cdc ph^ Hnh vdl t^ng chOsd' Bdl hdn 1: Trong phong Hdo thi dua nhdt p h i ll$u, Idp SA, 5B, 5C Hong dqt phdt ddng dd thu duqc kit qud nhu sou: IA>5A ten SB LftiSC twti 16 ko 28 ko 537 kg 0012 27 ko 39 kg 47 ko 0013 37 ko 546 kg 58 ko eot4 548 kg 57 kg 19 kn Sots 59 kg 17 ko 26 kg Khdng Idm phdp tfnh eqng, hdy eho bllt Idp ndo dd nhdt duqc nhilu hon? Gqi f: VI tdng p h i li$u cuo Idp d dqt ed hdng don vj d i u Id tdng cuo d + + + + 9, hdng chye Id tdng cOa + + + + 5, hdng trdm gidng (chl ed mdt ^ 5) ndn tdng sd p h i ll^u cuo cdc Idp nh^t duqc dqt bdng b) Gldl hdnh hqa vd hliu hdu ddo cdc bdi t^p Irong SGKdi b l ^ duqc dqng bdi tdp ndy phyc vy cho mqeh kiln thOe ndo vd gldl cdn sO dyng nhihig kiln thOe ndo? c) Thom khdo cdc Idl lliu bSl dudng HS gldl, odcdihiHS gldl d6 bilt cdc ehO d l kiln thOc cdn phdt h-lln, bdl dudng eho HS d) Phdn dd, gldl thfeh h;ii soo ddt phdp cdng dqc, phdi ddt sd hqng ndy dudl sd nqng kla cho chO sd ede hdng hrong Ong thdng cdt vdl nhou vd thye hidn phdp tinh cdng e) Phdt triin bdl i$p hdnh hi thong cdc dqng bdl Iqp, ddy Id cdng vide quon trqng nhdt vd Id 'TraHtHl^ilifcUiiNG MP Chi Slio i j i so 284 (id a - 4^oiai Bdl todn 2: Tim chu sd hdng don vi cOo phdp sou: 123 X 4 X 115 - d5 x 54 x 13 Gqi -y: VI chO sd hdng don vj cOo mdt tfch Id Hch cdc eho sd' hdng don vj cOa ede tht>a sd, bllu thOe ndy d sd bj hi> vd sd tn> ed chO sd don vj gdm tfch cdc chO sd gidng nhou, ndn chu ^ hdng don vl cua sd bj trO vd sd trO bdng nhou Vdy, chO sd hdng don vj cOo phdp tfnh bdngO h'nh h> phdl sang trdi h6\ 66u ti> hdng don v| TiKmg Gq/ y Thyc hiin phip nhdn nhu bdl Iv d£(l vdl phip tri>, d^l phip ln> d^c cOng todn trin Id chf nhdn sd ty nhlin dd vdl 3, vdl d^t ii tn> dudl i6 b| tri> soo cno chd ii cdc 20, vdl 10 rdl cdng Iqi chi) khdng phdi da thyc hdng tuong (>ng thing c^t vdl nhau, bdt ddu tO hiin phip nhdn mdt sdty nhlin vdl 123 vl phip hdng don v| vd thi/c hl^n ph6p Hnh tn> Idn \uqii nhdn mdt sd ty nhiin vdl 123 Id phdi nhdn i cdc ndng tuong i>ng ti> phdl song trdi bdt ddu dd vdl 3, vdl 20, vdl 100 rdl cdng cdc Kch Iqi to hdng don v), VI 123 - (3 + 20 + 10) - 90, vdv, kit qud D9ns 2: Onl^pvidfl phip Hnh chcvdihi/c ndy da gidm dl sd don vj bdng 90 ldn sd thi) hlfn phip llnh nhdt so vdl kit qud dOng Bdl hdn 3: Khi thvc hlfn ph«p c$ng m$t ii Bdl lodn 4": Khi thyc hlin phip nhdn hal Iv nhlin cd chO sd vdl m^t sd ly nhltn cd sd ty nhiin cd chi) td vdl nhau, mdt HS da so cho sd, mdt HS da so xudt ddt phip tinh dfc xudt ddt tfch rling ihi) ba thdng cdt vdl tfch nhu sou; ddt sd ty nhlin cd chO sd dudl sd ty riing thi) hal, nin kit qud gidm 11070 don v| nhlin cd chS sd soo cho cdc chff sd thdng cdt so vdl kit qud dOng TimrtiOasd Hii) nhdt cua bin trdi vdi nhou vd thi/c hlin phip cdng tO phip nhdn? phdi song trdi Hdi kit qud thay ddi nhu thd Gq/jy3ql thi)asdlhi)nhdlldA, thitasdthi) ndo so vdl kdt qud dOng? hqlM obc Kdt qud dOng cOa phip Knh si Id: A Gvl ^ D hal (sdtv nhlinrling sal nhu di bdl (Kch riing ihu ba ihdng cdt cd cho sdl lin 10 Idn Do dd, tdng si tdng thim vdl Hch rling thi) hail nin kit qud chl cdn Id: A X Idn sd hqng thi> hal so vdl tdng dung 10a + A x lOb + A x c Sosdnhhalkitqudta Bdi todn gidi thlch tqi soo ddt phip Knh s u y r a : A x a - 1 o A x o = 123.V1Ald cdng dqc phdi dqt sd ndy dudt sd soo cho sd cd cho sd, vd Id sd ly nhiin khdc 0, nin cdc sd hqng thdng cdt bin phdl suy ro A • 123 Bdl lodn 4; Khi thi/c hlin phip nhdn mdt sd tv nhiin vdl sd 123, mdt HS da so xudt dqt cdc Kch Vdy, thijo sd thu nhdt cuo phip nhdn Id 123 Dgng 3: i>nl^v4vl$c kit hgp glOa cdc phip riing thdng cdt vdi nhou Hdl kit qud thay ddl Hnh vdxitcdc chO s6t^n cOng nhu thd ndo so vdi kit qud dOng? Bdl todn 5: Tboy mdi chi) phip Hnh sou Gq/ y: Thvc hidn phip tfnh bdl hdn Id chl ldn luqt nhdn sd ty nhlin dd vdi 3, vdl bdi chi) sd thfeh hop: I abc: abc = (cdc chO khdc thoy bdl 2, vdi rdl cdng cdc tfch Iqi vdi chu khdng phdl da thyc hlin phip nhdn mdt sdtv cdc cho sd khdc nhgul Cdch I.Tacd labc x flic Vi5xcc6 nhlin vdi sd 123 vl nhdn mdt sd ty nhlin vdi 123 Id phdi nhdn sd dd vdl 3, vdl 20, vdl tdn cOng Id c, nin c bdng hoqc h4iu c bdng 0, fl^ iyc nhdn ta cd: x b cd 100 rdl cdng cdc tich Iqi vdl VI 123 (3 + + 1) > 117 nin kit qud thu duqc da tdn cOng Id b nin b bdng (vl b khdc c), suy ro gidm di sd don v| bdng 117 ldn sd thi) nhd't du Clng vdi cd hal gld trj vOa Hm duqc cOa b mdt chff sd so vdl Hch rling thi) nhdt vd Kch rlingdiu khdng Hm duoc sdo thod mdn bdi todn thi) ba phdi lOI vdo bin IrdI hoi cho sd so vdl Hch cadi 2: To cd: l a i c = x abc o l O O O t rling ihi) nhdt abc -5x abc c^ 1000 = x abc Cd thi blin ddl bdftodn4 Ihdnh cdc bdi todn o flic = 100 : = 250 Vdy, phip Knh sou: cho Id 1250: 250 = Bdl lodn 4': Khi thyc hiin phip nhdn mdt Nh^ nil: Cdch gidi thu hal c6 Idi gidi dl sd tv nhlin vdi sd 123, mdt HS dd so xud't dqt tfch riing thi) ba thdng cdt vdi tfch riing thi) hilu ddl vdl HS vd gqn, cdch gldl thi) nhdt si) hai Hdl kdt qud thay ddl nhu thd ndo so vdi kit qud dung? (Xem tlip trang 43} Tap chi Blao due so (n a 4/»on) trdn (dllu ndy rdl quon tnjng, n & \ay dilm cd sdn tr«n dudng trdn thi dilm dd s9 chqy khdp mdt phdngi, vS dudng thdng c/ dl I vd dilm ndi trSn (chpn hoi d i l m , chqn Menu Construct -> Line} Sou d6, dn dudng trdn (chqn dudng trdn; Ctrl + H| Khi dd, hlnh dnh md ta thdy Id dudng thdng > =tot+ - quay xung quanh 1; 10 ddy, SV sS d i ddng gldl quylt duqc bdl todn SO dung phdn m I m GSP vB cdc hlnh hlnh hqc, ngudi sO di^ng cd i h l xdy dvng duqc cdc dilm, dudng ihdng, dudng h^n, tqo tnjng dilm ciia mdt doqn thdng, dvng mdt dudng thdng song song vdi mdt dudng thing khdc, Mdt ddc dilm ddc trung nua cOo phdn mIm ndy Id cho phip to thilt Idp mdl quan hd glOo cdc ddl luqng hlnh hqc, phdn mdm sS ddm bdo rdng cdc quan hd ludn duqt bdo todn Chdng hqn, mdt thdnh phdn cuo hlnh bj blln ddi, nhOng thdnh phdn khdc sS duqpc Iv ddng thoy ddi theo Ddy Id mdt Iql I h l cOa phdn mIm GSP Trong dqy hqc gidi cdc bdl lodn hlnh hqc cho hqc sinh (HS) trung hqc co sd, phdn m i m GSP Id mdt cdng cv ddc bllt hOu ich cho cdc bdl todn Km q w Kch SO dvng GSP se glup gido vl3n tqo duqc dilm nhdn dio bdi gidng, gid hoc sinh ddng hon, HS Kch cvc hqc Idp d l U)dm phd tn thOc nndi Khdc vdi phdn miSm Power Point, gido viSn phdi thilt k l trum, H 2007 Hoing Ki (chu biin) - Hoing Thanh Ha Dai s i sir d p v i Ott/c iiinli giil loin NXB Doi HQC supkpn, H 2005 Vfin Nhu Cuong (chu bi6n) - Hoing Trqng -Thai Hinli iiqc giii lich NXB Bng chO d l kiln riiOc^ rdt cdn riillt GKio dd, giOp SV ndm vung buSd the system of exercises - FIrKJily, the authors give an example of exercises duqc chuong trinh mdn Todn d Nlu hqc nhdm to buiki a system to review a subject knowledge In phyc vy tdt hon cho vide dl thyc tdp vd cdng tde mattiemallcs for^emerrtaiys(^)oolsludents (the math review rules apply to the calculation of four) gidng dqy sou ndy • ftp Chi Blip Jyc s6 Cki a • 4/a»ia) ... Id mdt Iql I h l cOa phdn mIm GSP Trong dqy hqc gidi cdc bdl lodn hlnh hqc cho hqc sinh (HS) trung hqc co sd, phdn m i m GSP Id mdt cdng cv ddc bllt hOu ich cho cdc bdl todn Km q w Kch SO dvng... ihi) ba thdng cdt vdl tfch nhu sou; ddt sd ty nhlin cd chO sd dudl sd ty riing thi) hal, nin kit qud gidm 11070 don v| nhlin cd chS sd soo cho cdc chff sd thdng cdt so vdl kit qud dOng TimrtiOasd... ddt phip Knh s u y r a : A x a - 1 o A x o = 123.V1Ald cdng dqc phdi dqt sd ndy dudt sd soo cho sd cd cho sd, vd Id sd ly nhiin khdc 0, nin cdc sd hqng thdng cdt bin phdl suy ro A • 123 Bdl lodn