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1/15/2015 Hiuvkhinim'giihn'trongtonhc(k2)|Math2IT
http://math2it.blogspot.fr/2014/09/hieuvekhainiemgioihantrongtoan_12.html 1/8
Math2ITDinh Anh Thi | 12.9.14 | Hiu ton hc | Ton s cp | 3Like
Hiu v khi nim 'gii hn' trong ton hc (k 2)
Bi vit tip tc vi 2 nghch l th v trong i sng l nghch l ng trn v nghch l
Nghch l ng trnXt mt ng trn v mt a gic u ni tip ng trn y (Hnh bn di). S cnh a gictng t
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1/15/2015 Hiuvkhinim'giihn'trongtonhc(k2)|Math2IT
http://math2it.blogspot.fr/2014/09/hieuvekhainiemgioihantrongtoan_12.html 2/8
R rng, khi khng ngng tng ln th a gic s cng ngy cng tr thnh hnh trn m n nitip. iu ny cng khng qu kh tng tng. Khi y ta ni gii hn ca a gic khi tinti v tn s l ng trn.
Tht ra thc t ta vn rt kh chp nhn rng "lm sao m mt a gic gc cnh th kia li c thtrn mt nh ng trn c?" Nhng khi nhn li, bn cng khng th no tng tngc l i n v tn ngha l n i n u? N s mi ln ln, khng c mt s no ln ni rng s ti s . Nu bn chn th s li c ln hn. Chnh v takhng th tng tng c l i n v cng n nh th no nn chc chn ta cng khng thno tng tng c a gic gc cnh li mt m thnh ng trn n ra sao.
Tuy nhin, ging nh v d v mi tn bay mi, y s cnh s ln mi. Ta s xt mt thc t.Thc t mi tn trng ch, cn y thc t a gic s tr thnh hnh trn. Nu xt mt cchtng quan, mt thng s cho bn kt qu y khi gc cnh ca a gic vt qua gii hnphn bit ca mt v ta s thy l mt ng trn ch khng phi l mt a gic na.
T ci nhn trn, cc nh ton hc ny sinh ra tng tnh chu vi hnh trn, in hnh lArchimedes (287-212, TCN). R rng khi ta ch cn o di cc cnh ca a gic v cng li thn cng chnh l chu vi ng trn nu s cnh tng ln rt ln. Archimedes lm ng nhvy, ng th vi mt a gic s cnh ln v o xem chu vi a gic y l bao nhiu t suy rachu vi ca ng trn. Cn ch rng, thi ca ng hon ton cha bit ti s hay nhngha gii hn.
Bn cng c hc rng chu vi ng trn chnh l
T cng thc ny bn c th s bit c gi tr ca s nu bit chu vi ng trn v bn knhca n. y cng l cch cc nh ton hc i tm gi tr ca s bng cch th vi s cnh agic rt ln. Chng ta s tm hiu k hn cc nh khoa hc t xa n nay lm nhng cchg tm c cng nhiu s ch s thp phn chnh xc sau du phy ca s , cng nh bitc con s quyn lc ny l g lot bi khc ca Hiu ton hc.
V d v mt s ch s chnh xc pha sau du phy ca s . Ch rng cho n nay s lngch s pha sau c tm thy bng nhiu phng php ln ti mt con s v cng ln vkhng c du hiu chng li.
Bn c nhn xt g v a gic cnh y nu nh s cnh c khng ngng tngln, tng mi mi n v tn?* *
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TRANG CH LATEX TON LINUX OS X CNTT TRI THC
KHC MATH2IT
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1/15/2015 Hiuvkhinim'giihn'trongtonhc(k2)|Math2IT
http://math2it.blogspot.fr/2014/09/hieuvekhainiemgioihantrongtoan_12.html 3/8
Nghch l Chng ta cng xt thm mt v d n gin nhng "y tranh ci" khc. Khi ly chia cho , bns thu c mt s thp phn v hn tun hon dng sau
T ta suy ra
hay
Lm sao m li c th bng c? Tht kh hnh dung iu ny. Tuy nhin,chnh v y l s thp phn v hn (tun hon) nn theo tng v gii hn, iu y hon tonc th chp nhn c. S con s phn thp phn l v hn, bn khng th hnh dung n lnn c no, ch bit rng, nu s con s y t n ngng "v hn" th gi tr ca s l . Hay k hiu li
Khi y, ci THC T y l gii hn tn ti, tc ca chng ta bng .
3peoplelikethis.Like
Dinh Anh Thi : Tc gi blog, xut thn l sinh vin s phm ton, hin ang l nghincu sinh v Ton ng dng ti Php. Chnh v nim am m Ton hc, tin hc ng dng
g g
MJN
*
. /-,000 000
*`DIT
tng hnh thnh v gii hn nh cp trn c lin h nh th no vi nh nghaton hc chnh xc ca n? Mi bn theo di k tip theo.
12.9.14 , Hiu ton hc Ton s cp
Vit bi cng blog bng cch lin h [email protected].
Ln u trang
1/15/2015 Hiuvkhinim'giihn'trongtonhc(k2)|Math2IT
http://math2it.blogspot.fr/2014/09/hieuvekhainiemgioihantrongtoan_12.html 4/8
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HienPham 4monthsagoAnhchoehiathngccctinvtonhctrangnoth?Bivitcaahaytht!
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inhAnhThi 4monthsagoMod >HienPhamCmnbn,ylnhngtrangmnhhayxem http://math2it.blogspot.fr/201...
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v qua trng lp s phm nn Thi rt quan tm n vic ng dng Ton hc, Tin hcvo trong cuc sng thc t cng nh vic truyn t kin thc Ton cho hc sinh theomt phung php hin i v tch cc nht, gy hng th v hiu su cho ngi hc,ngi c ni chung. Mi chi tit xin lin h [email protected]. Blog c nhnAnh Thi blog.
1/15/2015 Hiuvkhinim'giihn'trongtonhc(k2)|Math2IT
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1/15/2015 Hiuvkhinim'giihn'trongtonhc(k2)|Math2IT
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Nhng cch v hnh chnh xcbng thc k v compa
Nhng vic cn lm sau khi ciUbuntu 14.04 v mt s phin
bn khc
Nhng phn mm nn ci choUbuntu, Elementary OS, Linux
Son tho ton hc trong LaTeX(k 1)
WolframAlpha : gii ton theotng bc
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Ti liu tham kho dnh cho itng t hc LaTeX (cp nht
ngy 6/11/14)
Bi ngu nhin
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Tuyn tp cc trang web chuynv gio dc m bn nn bit (cpnht ngy 19/12/2014)
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1/15/2015 Hiuvkhinim'giihn'trongtonhc(k2)|Math2IT
http://math2it.blogspot.fr/2014/09/hieuvekhainiemgioihantrongtoan_12.html 7/8
thc k v compa
Nhng vic cn lm sau khi ciUbuntu 14.04 v mt s phin
bn khc
Nhng phn mm nn ci choUbuntu, Elementary OS, Linux
Ti liu tham kho dnh cho itng t hc LaTeX (cp nht
ngy 6/11/14)
Son tho ton hc trong LaTeX(k 1)
WolframAlpha : gii ton theotng bc
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