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4^M'^- IvflHOC sfi 6-2016 15 ^"^4 TiCH HOP CAC NOI DUNG DAY HOC QUA MOT VI DU THUC TIEN TS PHAM THj KIM ANH Viln Nghien ctfu Sfl pham, Trfldng Dai hgc Sfl p h a m Ha Ngi i;cr£3LDATVANDE ""^ifejii Tich hgp Id mdt nhfli^ quan diem i'l latrdthanhxuthlphat trien chfldngtiinh laiitijba^ao due phd th&i^i d nhieu nfldc tren the t&rtlocDP^^- ^ ^ y ' ^ S '^ ™9^ t r o i ^ nhiiing quan a , ^ n ^ ^ ^ n i chi dao t t o i ^ vi^c xay dtfng chfldng w ^ | j r > £ r i n h giao dttc phd t h d i ^ Vilt Nam sau , [^ jjj t u n a m 2015 Thdi gian qua da cd nhilu d l tai B Q ^ U • ^ ^ ^ ™"S hhd cac hgi thao d ^ quoc i M u^gia n ^ e n cflu va ban Iuan ve nhCfng vln (rtittt'^Bt^ ly ludn vd thtfc tien cua day hgc tich hop; ' ^ v e k i n h n ^ l m day hoc tidi hrfp cua cac 'nfldc tren the gidi; v l cac each, hinh riitf c " * " ^ * % i t f c dp tich hg^; ve cdi^ tdc dao tao va bdi dfldnggiaovi£n(GV)dedaytichhgp Ttfy a»ii|"Kniiign,vifc bien soan cac mon hoc, cac chii de theo hfldng U'di hgp nhfl t h l nao? Quy e - iiEJiftrinh, ky thugt, each the hien mdt bdi tich 1X iL xsilihdp vSn cdn la mgt bai toan vd cui^ nan giai va day thach thtfc vdi ca nhtfng ^ a a e i ' n g f l d i bien soan va i ^ d i dgy Ly luan da _.^,^-£:ichi rSt nhieu mtfc dg, cdch thtfc, hinh ^ - /^Eithdc tidi hop, nhflng mdi chi t r ^ phfldng ^T^: -I dien ly thuyeL Vi the vdn cd nhtfr^ nham ^ ,^-,:v:2 tudng tieh h}p Id phep "egr^" gidn ddn _'^ ,;nhieu mdn hge va cdn kha mo hd ve each ^f "_'' r^ tiiia ke cde ehtf de/ndi dung tieh hgp T, y? 3* Trong bai viet nay, chiing toi khdng di vao ''.''.l.-iinhQngvandl ly ludn cua day hpc tich hgp, ' ^ ''_f^ }i eung khdng cd tham vgr^ di xult each bien •^'"^''^ jl soan mdt chtf d^ tich hdp ma chixin (Mn "^"'''"'VJ;: mdt vi dy ey tile ttDi^ Hoat (^ngvdtirochert •^^'^^' ' m d n T o a n l d p d l c h t f i ^ t a h i n h d u i ^ m g t ;* cacb ey till, rd rai^ v^ vi?e tieh hgp eae nOi "Cdch day lau ldm, d xtf np cd mdt dng vua rat tham lam va tdn ae nhflng lai tfl eho minh Id ngfldi thdng minh vd edng bang nhat, Hang nam den mua thu hogeh, dr^ bat ddn chtfng ngp hau het thdc va chl eho hg mgt it de dii song qua ngdy Mgt nam np, khdng may ddn chiing bi mat mfla Thi Id ai cung lam vdo cdnh ddi kho Nhflr^ nhd vua tan de rat vui mflng Ong ta va cae can dian to chtfc mdt bfla ti?e ed cac voi ldn ehd thde di vdng quanh d^ vui dtfa Cd mdt cd be rat ngheo ten Rai ehgy theo cac voi de nhgt nhflng hat thdc rdi vai tren dfldng Quan linh thay the hen bat ed va dan tdi trflde nha vua dang ngdi dtf ti^e Nha vua hdi: "Nay ed be kia, ngflOi ddm an cap thoc cua ta?" Rai thfla: "Bam be ha, nhat 101 dem tra lgi eho ngfldi a" Nhd vua muon td minh la ngfldi khdn ngoan va hieu biet nen khen: 'Hay lam, ngflOi N g a y thiT I 32 g N g a y thli 11 1024 g Ngay Ihir 16 32768 g dung dgy hge nhfl the nao qua mdt bdi toan -^.0 II NOI DUNG ^ ' A ^ Cdch xay dtfi^ ngi dung va giang dgy i i ^ ^ g ^ day tich hgp qua mgt bai todn d tieu hgc iW'jrJlpf De bi^t dugc each xdy dtfng vd gidng irfjfLij]! dgy tich hgp nhu thl nao, chiing tdi xin N g a y thir 21 1048576g N g a y thli 26' 33554432 g " ^ S i * ^"