rF-
J"'
it:,:i:,t:j-;i::.,:r t,
=i-i.t- ' l -ttl'
::1;j YI$il rsoa' Egc:,
rrfr Ht"tr( .:.:
nS.l roAr., x$e,...
vtBr .N"lll , t"
s
T
i1385
f8ng iiCn ldp.: ITguy€n CAnh Toia
Phb tbng btin tgp: IYgO D*r Tfr
.at. - .a . .'.'...:t :.
S,{O NA HAI
:
'rfiAfis u0r fi.t
5d 146
Tru s& : 70 'l'r$n l{ung Sao * Ha }{Sl
Dd1' u6i: 52825
L
I
fHOXt; 16 I * igEI. toi di gidi thigri r.cri bau
I _,
dgc tich ngoli crir ,hai vccts;r:, y ahu lir
rngt h&rn tuy{n tilh, ptrin x*ag.,i*.l,ung.
D{c h,iQt rnQt tlrrh ch6i quan trgng lA: ydi r v$
g la hsi reets khlo kh0ng, thi chdng in drlng
ph*ong ndu' vi ehl a6u
Ie' i/Jori'
'frong bAi n*y, sin gidri thifu m0t s6 r.6s dS
ho{e b*.i to6n li nh&ng rtng dung e ira tich ng**i.
I. Oibre ki6n rh6ng hritg eho 3 tlllrn.
Trong mAt prh&ng, ta h6.y elcrr grSt dilnr O
Ir)_v y. !rt6i diEm .S cria nr{,t phfrug sa sic dinh
mdt veclo r :'{)-\!, Ngugc [gi, ndu cho af,n di$m
0 vd gcclr r , tbi tlilm d{ l& ho&n tr:&n x&c
dinh. Yccts 6?. ,* grlc O rJinh ain, g.;i tt ,*rto
hdn i,inh rrla ilitrn # \6 lI urf t rrc, lLr &,rrc. Eib
dou ,gi{p c{ch viar, j .t:
"0i! * U.
...
HGUYfrT TfiT{ flAO
DB cho gur: hcrn n$a, ta qui u6c Arfi c{ rt{p
't?ifiC ldrt v& d{t
FliJ * #_ {t}
8c_v gir) *ho S dilin b6r ky {: B. C._^Chriag sE
tf&ne unug nfu vil cr,i n€u i6 "e ff re aang
p1uong, tur li tich ngoAi eia chdng btng 0:
' 1.+a, irJes (t)
Att-()lJ -{r.{e E -A
+ .+
J{{-'=OC * rl.}j ry i; *,{
viry:
!* '-
l.4Ij, "{f I = [B - 1. {._ dl
. = [8, {:}+{{:, }] + {4, fiJ
8{r qu[ iA,: Bc dt]nr A, g, f id tlrdrig hdng nlu
ud s/ri fi8a:
' [.r, ai + {t, r-:1 i- [r., .+j =p " {s)
T'dt ri-hidn, khi 6p tlqog (ii), t* Srrgc ehgn t*y
f gde O er.la 'a$e ve rto b{n klnh ci'ra d,'8, r:.,
,-}
g. Hinh 1tr gi&e boAa toirn. Cho
th$ug b$t kf. Chirng gioo nhau trtng
di&nr ,4. B, C, D; f. l' {xem irin}r i).
4 duoug
e[p tli 6
MQt irnlh
hhu Lhd elugc gci lA n:St
It? ,gtdc hod* lorirr. Nii
e6 { c+nft li. 4 dtrdn;1.
th&ug di cho vi ti dinh
1{ eic giao diBrn ct'ra {
eanlr liEt hqp tung ddi
rnQt.'Hai dinh gqi lA ddi
difn n6u chtng tiru0e
hai c{p euntr lihrlc nliau'
?rong hinl.i, *lrc c[p {1,
D), iB, r), (t, f') ln
nht?ngciip tlinhddi di{n.
CAc doq.n thf,ng n6i c{e
cAp dinir ddi r1i$n gqi l& drring ehto.'l'a cd dinh
ly : 7'rong m$! tir gtdc lrodn tadn, trung di0m cria
cde dtrbng ch{o tci.3 dlaln {ir?ng lldnq
Chtrng.';rirrlr.
Te ggi P, Q, It l&t tugt ld trung dihn erju
An, RE, /.';-.' thi:
P = 1,,2. (A -+" r)" Q: ii?, (B I E),
r? = 1 2. (C + r),
f'heo i3), diBu kiga thiug hdng clro P, Q,B la:
ta* n, B + E1+ [B + E, c + r'1+
. ic+F,4-f /limg.
Kliai tritn c{c tieh ngoli, te e6:
la, r] + [-{, El + [r, Bi + [CI, ]?l + l.s, cl +
' + [a, r'j + lr, c] + [E, r] + [C, ,1] + [c, ol
+ iri, -4j, [F, "0)] = o(4)
Nhung.r[* b* ba diBm sau ilsy lA tirftng h&ng:
(,1, B, r-). {A, E, c}, (r, #, r}, U), B, c)
Cho n0l ia c6:
"tfing llnr nhu v{y 66i vdi IJ'r'A Cl, cu6i ctng
ta duqe
, B-o,c -', C-9,r A-18
r/i F ffi , ry : *, C' & J---i::- tG).
i*d l-p 1-l
Ettsu ki$n clln l'& && clio "{'; ii', C' thi ng
[.t', n'] + [B', c'] i- [c', 3'] = o.
Thay c6c giA tri {6) vAo, ta s€ duoe:
{[r, B] + fB, cl + [c', .4]] (t - crPT) = 6
Ntrung A,, ]), O kii0ng th&ng hing, eho ndn:
la, s}+' [,B, {;j + [e ' ,'1] + o
V{y diEu kif n c{n vlt dd cho' A', B', C' thing
hfing t$
. a.p,T:l (7)
4. Ty sd iIo"n, ti a6 k6p, lring rA ch&m
di&u !rda.
a) f! sA don cia lla tiiBm A, R, (: ti:irng i:lrig,
theo thr'r tu, ld mtrt s6 thgc p sao eho:
PCa = IIA (S)
Ta kf lii$u p bing c{ch vi6t :
^-t
v - rl . R,C) (g)
T& (8) suf ra :
.P(B-C)-(l-C).
Vdi gdc O khlhg ndmtr|nduing thdng A.1),i.
ta hfly l$y ticb agodt cia C ttdi hat uE' sE dugc
(10)
b) Tfi sd /rCp clia 4 dibrn ihffng hAng ^1, B, {:'
Il, theo thri tqr, hj' hi$u lla (A, B, C, Di. dinh
nghia li. m$t s6 thuc x6e dintr b6i hg thric :
i(A, B, c, D) = (,,1, B. ct'.{A, B, D}
t [rc i&. :
. (A, B, c, D} = [c,,{ll[c,IJ]:[r, d)llo,n] rtll'
Gdc O ph&i & agodi dudng th&ng'
Bdn diEm A, R, C. D th8ng hdng, drrgc goi li
rngt idnE di\m di\u irda ndu
cl Ti sd ktp a&a m$l cfirirn dtdng thc.ru gbrtt
4 tla O,l, OB, {}{:, OD, k! hi$u 1[ {OA, AB,0C,
Ofrl, lt sd th ue
{c)A, AR, oi:, afi}, = [c, al/lc, r]: [D,A]/[D.8]
(r4).
Di&u *&n chirng minir r:gay rlt cho ilinh nghia
t r0n drlng v frn g lA n6 ft?tdng phtl t hrt$c rcclt chon
cdc rlilar A; B, C, -0 lren rn6i tia {tla & aat' te
itrror:g thilng). Thye vfly' ndtr, ta ihn luot thay
c{e yecto, A, l}, C, D bing *A, Fl}, Tf,', E0 (voi
JL,
a
[a, sJ + ['8, F] * [F, ,ql = o i
[a, r]* Ir. oi + J:' 4l= 9 { rrl
In,El + lE' r'l + []'' ol: o (
lo.al -t- [s' c] + [c, tri = o I
e6e diog thitc {5) k*r: 'theo diBu }:ifn (1) vn
nhu thd iA chirng rninh cho dinh U.
3. Binh ly Meaelaus. Cho tsm giitc ABC.
T'r'€n ur6i canh (k*c ii'l,i) {JC, C-4, ^46 lln luot
cho *6.c diErn .{',.R', Cl' Ta hii.y vi€t diBu kiSn
" thrlng hhng cho 3 drbin,'1', lJ', C'. Ta gqi a, p, T
' cAe tj' sd nrtr A:. al', ,:,' l&n lrrol chia e6e dloqn
( 12)
(rs)
BC, CA, AP I
- - f iE t - * /-ryi,- .r - f ._;r" f
** { _; l, !r*,{*i,* l. ' * i-+ I,
\-,+'i'-'J \8"4i \(r B,
'l'a suy ru cfufrng hgn
f,(C *;t') *3 "*.i.{' E+ {l '- qid' = {J * ut:
o$ a's t1(t,* e) " (s * fiC).
?-
iF
#
1, F, T, E lA nhirng sd thuc tuy .f ) tbi bi$u thric
(tl) v6n giir nguv€n gin tri crin n'd. Uan itge e6
lhb !u chirng 'minh di6u d6.
\ldt nlran rdl quan lrong li ndrr ta cllon A, R,
C, D tr€n nrgt dudrig tLirg cAl tuy{rr cira rhr\m,
thi ta thd-v ring: l$ s6 kdp efia 4 drtlng thd*g
ddng qui citrg l& lg sd kip crio 4 r{iEnr groo sd
ehing rac dinh b|n m1l cal tuudn brll ki,
t)
Ch0m I Od, AB, Oi:, OD I ducrc gr,i ld rrr0t
clrrirn dilu .hda n6u t.i' sd hdp' cria *6 [[ng * i :
(o,t, aB, oc, (JD) = --1
Theo nirAn xel 1r0n, nELr m$t chrirn 4 dud;ug
tiring lA diBu hCra, thi n6 giao vdri mot c{t tuy€n
thinh 4 ilibnr crla nr0t hing diEir hrir" NgirEc
Iq.i' ndu ta udi dit'irr O ltri { ,li}nr cria nrot hi\ng
diBu hde tr0n rndt dudng ti:r1ng khtng riira O.
thi ta ducrc mOt chi'rnr di0u hdl.
5. Ou&ng.thing rong son&.
Hai dt1)ng thiing p.idl &aft, .{A v* Cl}, lir song
soog khi v& chi khi t(ch ngoli:
' hli
[.{8, co] = 6
Ch&ng han ctro tam gi*c 0,1l?, v[ h:ri dibrn .{."
tr&n O.f, B'trEil (JlJ. Vdi () lt Bd,r rlir cd
thb dar:
d' = cr:{, a' = pB
. s *
_'teb_agoAi IAr, C'8'i vist rlrse l&;
lar, I'a'j==lB - d, {}B=aal = (a-Ft f,+, e].
Do [.s,, si*o ctro n€n rich ngoar ffi ..fF,';-g
ndrr vA ciri n6u q.:9.l}|i chinh lA rllnir i-f Tha'
lcs drrrli dang thu gon.
'6. ShoAng e6eh tdr no6t diBrn ddn ergt
rtuung thang.
Ching hqn. mudrr co liho&;rg cielr 8 tu djEm
il rtr6n dudng thing .{B thi chi.16 r'i0e eh!a
diQn tlch tanr gi6e .tI,lr3 cho ilB riii nhin 2 r
'lSuan
rll
l*tt, (r5)
llav iA 8 :
ilEu gi& nguysn. Vay ta he;, thay iioan ,{B hArig
tlog.o OP tr6n r1, thay doan CIr harg rli,rili q;p trU:;
d', sao qho 0?= A8, AQ ^ CD. l'a sS rirri
quj tlch trong rfl,ph lrr.tag gbc ffi. 'i',, chqn {i
1&m gSc. Ydi l:ai rIi!-m."bnr ki :!J vi ,ii' rirr:dr:
11u_t tich Lrong 96c pOe, ta plirii "ce :
t,'2,.IP.,tr]+1is. [:i. g1= tll. [e, ru' j+ i,? i,:],",01.
'i n su"v ra
["u"0* rj*={,u,,e * F:
+[,u" Q..ri -[as, o*tsl="6
fll/'-tut,e*fl '=o
tric Ii [.tf,U'. Prjl= rr {fS;
,EiEu ki0n nAy chung t6 rirri; y,}J'i,f't vsi i{
vil ,"r1'li nrf,i r:6p dibm bfrt ir-i lhu6+ q*i tieh..
Vgy {ri;1 tich }i :,n4i iirrirng thirrg song s,;ng I,bi
PQ, tdt nlii0n I{ hal ch$ !rong grlc ffF*o utA,
qu1: tir:,h i,i rlasn lii$ng.ll1.tr'z {Xcrri hir;h r,( ti.
v6i Sl,ttcfi =J.ttlop - ,5.
[:)hiirr con iai crja bii ic*n'$u.t r.* tlti ding.
8. ,?gdt b&i toar rhi r0 dieh q*tic r$ l$g4
Dt btit. Cii sir ABCD lA rnit tr? gidc ilri. s*r;
cho drrilng th&ng CO ti6p xric vt)ng trdn iiurlrrig
kith ,117. tlhirng, arinh r$.ng dutnrgi tliiog _tR li{p
xirc vdng trin du$ng iii*h CIl. ndu r,& ehi nf u
BCi i AD.
Cfit.
+
?
iial
1B
6,
trong t!6 tich ngoii plrfii l{-r. theo chiBu qrrar
ittun3 (ngtroc chilrr kim ddng lro).
7. Uqt bdi toin thi vAo SAi bqc. l9&4 ,
Ilil brii, 1'rong m{t phl ug ctro lrai d-.an th:ing
cd dinh AIj, CD, theo thu trr, udrn tr€n hui ttrr*ng
thing giao nhau rJ vA rJ' (giao nhau tai O). 'l'in;
11u-i lich dibm llJ trong nr{t phring sao c.ho tbug
rli0n tit:li irai rarrr giac M^{fi; .VCD lil,dsg dbl
(bhng S).
fliril. 'i's cd ltr& clio iloar.i r{B trrrr,rl ti"iii ,J. Cil
trrrgl {r0n r/'r:nA riif n ti.i ,U.{ll r.rt diF:r lich &fr-'l)
'ftreo gii thi€t, trung di8m O c*a..tB ;rliirl r*r:h
dudng th&ng CD blng 1/!. .4f1. Ys;.:
++
lo D,' r-ir: !lce-* il?.,4 It
.*;
t+ |rri,, tt{:l: l.')...7lJ.t.il {I:}.
s
Ci:* rnLiSn clrcl vdng l.r'd;r rlLrrr;rg i'iItlr C{.} ii+p
:rit udri ."1 8 lhi,ciln v{ dri li.:
Io'tj.0'rl l;,sfi = 112.L-.{J
-*ffis. ii]1 = 1i2.ct) a.L-.
, V{y, theo (l;), ta e6:
.-&, _* 4
[0'r, o',t] *[at, au]
L{v O l}.m sdc c$r' verto brr0c, ta sl
J*u*+
8= -1, O'B= --d.*t]', o'rl*3. *{-i', o'*ii3.
Do dd I iCTt,6.*qj:i-a*o',4-o'l
* [-4, ? 6'l - [.], c
$iEu ki*n (tg) tr& neu :
[,t, L' + J]l - [o, cl
Cdrt diEu kign song song cho d^0'vA IIC ldt
tfr,r, Fcl = c r+ le -' s, c* /il = s
*+ [,1 * t-], {: + al x c,
C::di criug tra ei-ing e6:
. [a, c + CI] = lr, cj
ditng ih {lgi. Alerrt dB 'cria bir tr,ln ill duEe
e [':rg rninh.
i sel'
c6:
(c+ l).
, ^l
t tj].
i isl.
I
H*H h",t*l vri'[ viHtr !i il"t ir"
-- - i'
t$i* si A.N.Kdnm0gorsp e!flh nEin 19{J't, m5m
nay 81 tubi, nlm i8 tubi d[ li sinh'vi€n
tru&ng Oqi hgc Tbng trqp L8m0n6xdp tr{ax-
i;i,:i' i iI'i{ jii-r I li i.
bQ mdn khee.,. I)s dd eg b6 minh trong nhirog
iinh vlrc hqp sd llrn thui ctrQt ci nginh khoa
hoc l{.rn. D6i i,6i toAn htlc, ttnf,- t,lnf, tlon giin
hsn, vl c5c e0ng trlnh toAn hgc c6 tlnh iip thE:
c6 m$i sd niii to&u hqc nghiOn ciiu nhtng vin
dE r6t hep, nhung ctng ed nhirng ngrroi nghiEn
cuu e6.e v6n dE liBn ngd.nh vr1 tu,\' lrghi€n cuu
hep ntrrrng vfie hibu c*ng lrinh tc:in lir-,c li c0ng
trinh t{p th&.
' H*|. Yiqu si slio bi6t nr6i quaa hf 5itls tc:in
hqc u.ng dilng v| ts6n hcc lf thr:r 6l'
tlsp. Trurlc h6i cln luu f rLng viie phln ehia
ra toi{n ung dung r-i to{n 1! tnurt:t chi lA sU
qui udc hbAn to'In. Clic r'6n dE tu&ng nhir r{t
lj' thu5€1. r{r. xa vdi ung dung nbiEu- !':hi lgi
b5t i:ga tr6 thinh cOng eu guan trong cira ohiEu
{.ing Crrng thue 16, m{t kh6.e khi ugh:&l cTu cAc
v5n tlts ung rii:ng nhi tsdn hoe lai thuoas rtrvEn
phiri gili quydt edc hii toAir r{t. Cep nhung
ch&ng c6 rlng dgng tnge ii6p nAo. Do d6 ngb!€n
crlu irng duhg c&ng ph&i nghien ciru r,)ng. I-0
dllL'ng nfuien gi&i qu}'€t c&c ddi h6i cirs thuc t6
Ie nghia vti c&a c6e nhir toSn hQc, r:birtlg
ci: np c&n n chi&n c riu cA e&c r'5.n dB co thb
ctrui e6 rltn! clung'nga-v. nhung hSp din vA
c}n che sg ph&t triBn cfra to6'n hoc.
ft6l. Yine vi€t r&ng 6rig ta bB nghi6n ciru
giti tiuh h*.rn vi vudng Kilnm0gSr0p' -\ia Yif n
si:ho bi$t f ki$n vE sryganh dtra irong toAn hoe'
Dap' TOi kh&:rg hibu l{rn vE 't cri:r Yir:e' T6i
ktr6n6 nghiin c*u nhibu vE gifii tic! h&rn. C']ng
trlnir !f thri nh(l cria t6i irong linh v*e niy
ll (Dgr'rng'roi: :l \iine'vA mQt s6 du&ng cong lJ
tiru kh{t trorrg iihdng gian, Iiinbe }.
YE ganh 8ua -- n6r.r lA tlLra l$i htu nghi tht
*d kirdng ktr*e gtr sr; *q)ng t*'c, Su c$ng tic giira
hsi nh} tof.n hr:c crlng ilirng thoi stiy- nghi vE
ciicg rnQt v6u dts nhiEu khi rfrt e6 hiQu qul"
I'{huag cd kiri xly ra tru&ng trgp !n srg tham gia
efrr r:r$t ngrrdi nA.o dd thuc su l& thira, thi ngu&i
6v n6n vui vi: tlAuh sarrg b0n'
eova {1920), ld giSo stt, ch,i nhiQm kho.a vd hi$n
ld. chi nhi$m b0 m6n toAa lfigie cira Khoe to{;r-
co tru&ng SHTII L0m6n&x6;: Maxecrva'
Vi$n si'K0nm6g*r8p iA m$t trong sd cde nhl
toin hlrc dfr'u rI{n hi$n dai, cdng trinh eira Cng
thuqe ti& loqi-tu c&e cSng trlnh lf thuy{t rat
truu tugng ddn e6c eOng trinh ung dqng to&n bgc
cq thb trong eo hqc th&-v ktri, ccr hoc dtrP hli"
Trong thdi giag ehi6n tranh eh6ng ph6t xlt Euc
ang nghiOit or"u iy thu-viit dudng dan. Nhung phHn
l6n cic c6ug trinh c&a 6ng ld vE if thuydt s6'c
ruflt - & aey Orig d[ x&y dgng cA'c tien dE cs
b6.n m6 r$ng nhiEu ttinh I,f , ph6t hi$n nhiEu qu*
t rin h...
ViQn si gi'trng ti:.iy & tru&ng dai hpc tbr:g hqp
vtr cir & cAe trudng phb thOng, s{ng IAp trudng
phb th0ng ehuy0n toAu & {ru*ng Eai h-c-c T}ng
irgp &faxcova, ltr chir tich H$i rlbng cii cSch
phuong phAp gi&ng dr11- td{n phi'r th6ng' vj5t nhiEu
ra.f, giao khoa toirn lioe cho hoc sinh'.' YiQa
si l[ igtr]i shng l$p b6o Lug-ng tir {i;Ao toiin
lrgc vA-v&t. l-f hpc d&nh eho tubi tr6) v{r lA P}rd
Tbng bi&n t{p e'3a toa l-rito.'"
Du&i diy li n$i dirug ctr$c mq"n dam ciia
ViQn ei vfi ttla soq* b*o c Lugng tI?; n6i trln,
E6!. Ngu&i ta thir&ng n6i vE or3 ehu;0n ::rdn
h6a treng khoa hqc, trong irhi dd Vi*n si iai
nghi0n eiru nhirng vdn dE riit xa nhau - tu If
thuydt sae xu$t, t&po Sqi sd, t6i lSgic to6n' If
thuyEt c6c h$ d$ng lge '" V{y, iheo vi$n sl tuong
lai c&a khoa hpc l& gi * van nd::11 hriy *hrr1'*c
mdn hda ? :i
Tr& let, ToAn hgc r5t rQng kln, m$t rrguSi
khOng thB nghiOn eilu dirr;c t{t e& cdc bd nr0n
tofin 1pe. Yb m!.t ri*y e [n e6" sirehuv&n rn$n
h6a. Nhung dirrg thdi tri6'n hoc lil kho'r i:Qc
th6ng nhst ng*y e*ng e6 uirjBu mdi ii*n hf giita
cee tr'+ mOn' Lg mOu tlar tr& ,thflrh e &ng aq riie
_ iL6l. fl{l ph&i iru; u&q: tc*n hoc eiing llr d6i
tLroug ir{r ri{n riia YiBx si kh*ni; / Viga ,ri ehr-rn
.ughB 1*m toAo tri khi nA'-r ?
Bsp. Khfrug phii nhu thr!, ceu ilir&ug v.tu t?:ieh
loin hor cira tdi r6t ngo&n ng{lgo. lliii l;d t8i l}n:
tinh si6i \.i thich.. c&c bii leAn sr5 h.oe, tr-1i hoc
dai sd kh{ sdm. 0 c6"e lCrp tr.i.rng hoc tdi thiclr
cAc rn6n'l<h.{e, !rong rl$ cd rn6n lir:h sr'r. T'6i trc}
tri thich todn hoc ri m{..r, I+p cu6i crin trung hoc.
lihi tdt rghi{p pirb rhOng t0i cdn rlilu do lrang
vigc chi;n nghB. Trong mSy nXm ilhu & tnrclnli $ai
hoc lOi nghidn ciru r{t nghiirn tirc niOn Lleh sr}
Nga cb dai & Xdrnina r-:i'ra {.}i[ri sir Bakhlusin,
I{h6ng lt b& durrc e{c i r!0 ki thuAt, nOn vria
hqc & ttrai 6oo tbng hqp t6i cou hgc c& & bg
m0u luygn klm e&a {r*&ng I16a k} thu&t'Mendi-
lBep. 1'r1i thuc er6 chgn nghi ldm to6.n ohi sau khi
lhu dirqc cris kdi qui dlu ti4n, luc d6 1B*lB ?ubi.
rf 6i. Kfri nilng to6n hoc t?rrr*ng xuSt liif n r.Ao
lrie ni.o ?'Iih&i cliEog b*c gi$ ctng t{r tiri:& nh&.
nhu & Yi$u ci ehing han',,
DSp. eiing dar- n!:iFr: & c6c trrrc,r,t pir,l tI,Srrg
f6i nhAn thd-y oy sr.v md tcAn troc <i vAo lu.*
trrili ,2 - 13 tl;udng chi li ta-rl ih.ri, Icn lirp
trrln .sd lr6t,- irh:it lA 6 c6; e m g$i. Su se-t nr.i
& vr\o irlrn tilbi i3 - 15 lheo tdi ding rli,i f .l sr-.
tihi d6, ri6u kh.Jo chdrn sric vi bii du,jns.,r iirt
phit tribn v& cluy trl Ciuqc Lhi nrLng eiir ti,c
etn' 'l6t nhiAn ciing e6 nhiEu ngoai lQ. :lu sal
rnd tofin.hge cd thB xu{t hi*n & tubi cao hsn,
IIdi. Vign si,ch!u liuh hir&ns i6n nlidt & rhd
hE lodn hr:c nAo ?
S*p.fIi:i sinh vitn t6i li. hoc tr.r) cir Lut:lilrr
naod i [.tdinr t0i chiu &.nir lrui:ug ciia ..it&pan6;:1
Hhinsinl ;tr10r:"r.r::dr.Sp'rfi chiBr: nh* tcS.rr lioc
crlrrX tl:6 h{ d,,.
fl6i. l'i0n si cr) ,1i i.;En gi i.& r{c i.roc !rd iii:r
rrilh vi ai ls ngiroi Vi{n si nha nhii,i
..D,tp.'1'0i g;1 p ma_v li eo rl.riiu hoc tr,l gifii.
\lriErr ngu,ri sau klri idrn viQe r.ni tAi irlng'rn6r
linh r.rre nAo d16, di chulBn dE tr,: vjr rha dir+c
nhlrng kdt qui tu-i'gt trli. F,Et lihai tich ijucc si
Ii ngLr&i d{ng nirs nhf,t. ?oi chi r:6i cl.i nguai
li9" {1r-s dll..,r khiEn. khi quyBn c6 ngucri jaug
di6u &hiEn biBn c[. {f noi vE vitn si Ohukheii
giAm,l,'ic Yi0n r.:gliiln cu.u rf,t Ii.khi qu3.En Vign
t{An lrlm k hoa hr2c I-i0n X0, r,d. vif n ,.f MOui*-
vifn tru&ng visn h&i duong hr,,c).
E6i. Xin cho bl6r v6 chti dtg idur ,.,igc hhog
ngiy cria Vifn si.
bep" Ctriti d0 llin.r vifle c** t6j ii:at dtli,
th-er-- tha.i kf, Tdi ehi girlri thigu ehi gd rnOi
bibu dugc-tlidng lh{t v*i yi{n s; AtecxanArOp"
Thric. I'Ao 7 gid sf ng. Gid il&u tf p thB tiue, chay.
.{n s6ng v&e I gitr. -Sau tl6 ldm r.ifle. An trua
vAo lric 13 - l{ gid, gbm s*a vA b6uh mi. Sau
bila tlua tiiudng di dqo xa - cuse bQ ht:[c trugt
f ur'#t * r[{a X6 gi&. Sau dd ngfr kho&ng n&a gid.
An li1i vdo t7 git}. -(au bile tdi llm c&c vigc phg
r:i:ir chdp lrii l-rlu rhder. Bubi t$i - rgqc s*cn, nitre
nh4e, ti6p khAch, tr'rw&* klii di ngir cbdng tOi
ri4o choi, ng& v$o tue ?3 gi&.
'i"dt nhi&n l:\ kiri .tim rluoe eAch gi&i mat biri
to.{a nAo d6 thi moi eh6 r1g lh&i gian tr& n0n
vC nghia.
fisi. Ciing nfru niii€u nhA tc:ln hgc hh{c, ViQn
si ihlch 6m nhqc cb dibn, Xin giii thlch vi sao ?
E6p, Nhgn xrlt dd rliing, vi n$ir v*e phing hda
*h*c nh6 cirr Fihgc vign S{*xcrpva s€ thfly c6
rf,t. ntfrSu nhil to{n ho*. ed 16 giira silng tgo
ts:0n !ir:c vg sir sav m& &rn nhac r:6. rndi quan
h$ n{o i16 r-irurig tdi l.ili&ng thb gi&i thlch &uge
gi vE m$i quan hg <16. Vign si. AlBcxandrdp c6
*61 vdi t6i rir:g m6i f lrr&ng iofin hpe , m6i dE
tdi s6ng tao crisr *ug dBu quan hg tdi mgt bln
nllqa err lhb. 'I'tii tirich *hSt A{i.r"la, Surnan vi t$t
nhi$n !A c6 B&c. Beih0ven.' .
BOt. fl*c nh[' nghiS* criu ng*n ngft v& v$n
hoc nrli nlriErr ddn e6c c0ng.trinh cfra Yign si
vE tha ca. \iign si *6 f ki6n gi vE rr3 tB hqp
dd * giira io{n hQe yir, il;cr es ?
Bip, TOi inu6n t6eh yfln $E th&nli 2 phtn
rt ns Liit, r'lt5i lhieh tl:o cs cirng gitlng nhu
nlliing nhA blnh tho b{t dEe di - tirc IA kh6ng
cr5. r' r':\ thiEu tu giAc. 'l'di thteh c&e nhl tho
nhu Chut chep, i)uskin, Bi0c. Cqln vE e6c cdng..
irinh khog hoc cia tdi vB qui tic thn ea Nga
thi qui Jd dusc_clc nhA r;glui0n c*u tho cht f,
rhrrng dd ld iinh vuc nghii:n ciru ri&ng, hs&n
ioin kh0ng bit bu-6c r-6i mc-,i ngr,r#i.
Hai..Yi{n ei cl}n ehryi thb thao. Mdn nAo rf.y?
Bnp. t1'6; chrya bno gi$ tham 6ia thi d6rr rh6
tlar"r.. Hdu lthr)r'ig nh$ nhB.ln thi chi c(r 3lHn tharn
gia tlri trLrcrl tuy{t ltl km. Nhung t0i thich di
i'rg vi. trnEt tu-1,8t. {hiL:}r boi t}ruyEn, tlrich troi
si i vrtr leo niri. I 0i tliich. thl tha,r khtlng phfli
ehi vi cr'r loi cho sdrc i,h6e mi c$n vi duqrc tidp
xric vivi thiOir nhi*n. il;1t il.:leh vdn s6ng hitn.
YAo nii'ia xuAn thir:h nric quEn nahu thrrgt tu1.6t,
rbi tiirn nutlc b.Ing cirrGi Anh niag mdi. Nhung
t*i Iihirrg l<huy€n n.:oi ngudi noi lheo, n6n chgn
16y.rn0t mtrn thb thao ndo mlnh thich nh{t..
Eai. Y.iQn si cd gi nh$n eAe ban tlgc tr6.
Dap. Ld Nhd kh,:* hoc l{t nhitn tOi mu6n
clrirc c&e ]ran tr,6 dlat nhiBu thAnh tlch trong.khoa
hqe' dir ldn. dt b6. T',it ahi&u, n€u nhu t{t ciL
bgn doe dtsu vi6t e0ng trinh thi khOng dfi giSy
rn. N0n tOi ehi chirc c*c b4u tri sao eho nhitng
*ay m& to{n hge thr}i hoe' sinh mang lai lqi lch
trong cudc s$ng tuong lai., "{'rorig i:Ao { Lugng tfr r
ehrlng tOi e6 gfrng gioi thigu nhiEu ring drlug
lo6n hoc, nhutrg cb[c ch6n ld. chua t!&.
(PFIA\r rru?sN dieh vd gioi rhieu)