Az='.1,
7) Xdt A2= % + Au= rl vi. Br= i+ Bs= CE.
XAy ra hai tnrdng hgp ddi v6i E2 |
a) Ndu Ez= E thi F', = 6. Suy ra tr'. = Ha= Evd F3 - C3 = z; n6n Ks= u, D, = Eu = a, vd F3 - C3 = z; n6n Ks= u, D, = Eu = a,
Hs = 56. Tt] d6 Ea = 6, Ka =,r, Ht =,r >
Dn= Ks,= c6 ) Cq= a. Ta c6 m6t nghi6m nhrr 6 hinh 3a, 3b.
b) Ndu Ez= 6. LAp luAn ttidng trr tr6n d6n
ddn tr6i v6i (*).
2) Xet Az = 't. LAp luAn trldng hl nh, tr.n
d6n ddn c6 1 nghi6m. Tuy nhi6n ndu ddi ch6
mIt d6y d'tdiEFKH cho dAy tr6n CBAD thi talai drroc hinh 3a, 3b. Nhu vAy bii to6n chi c6 lai drroc hinh 3a, 3b. Nhu vAy bii to6n chi c6 mdt nghi6m.
Kh6 d6ng c6c ban giAi dugc bdi to6n nh.y, tuy
nhi6n c6 rdt ft ban lAp luAn vd sd nghi6m cria
bii to6n. BanVd Thdi Th1ng, 9/4, THPT Ng6
Gia Trt, Cam Nghia, Cam Ranh, Kh6nh Hda
dd lAp luAn vi giAi dr1ng.
BAI5. Tim c6c s6'nguy6n td
Goi c6c hlng tt tr6n xudng drt6i ld a, b, c, d,
€, g, h, i, k. Goi c6c c6t tt tr6i sang phAi Id I,2,
3, 4, 5,6,7,9, g.
Chn !. 1) Ndu sdc6 1 chrt sdthi sdtrong 6 d6
chi c6 thd Lb,2,3,7 .
2) Chrr sd tan ctng cria c6c sd nguy6n t6'(SNT) l6n hon 11 chi c6 thd ld 3 hodc 7. (SNT) l6n hon 11 chi c6 thd ld 3 hodc 7.
30
c
d
L
h
X6t c6c s6 c6 4 chrl sd ta tim drroc ngay
(4, 8) = 7 , (c,9) = 3, (i, l) = 7, (1, 9; = 3. Ta ctrng
c6 (h,6) bhng 3 ho[c ? d6:u drroc * (k,8) = 2.
X6t c6c sd d4ng txty vin ! = 3, 7 cdn x = 2,
3,5,7 (SNT) thi chi c6 L2L3 vd.1217 lh SNT.
(a,4) vit (c, 4) kh6c 7 vi kh6ng c6 SNT 71r. V+y (o, 4) = 3, (c, 4) =3 vA (&, 4) = 7.
X6t c6c s6 c6 2 cht sd vd 3 cht s6. D6 thdy (i, 7) = 7 = (b, 3) = 3 Q<h6c 7 vi dd c5 77). C6 (d, 51 = 7, cdn (c, 6) = 7 vi da c6 313. Suy ra (b, 6; = 2. C6 (h,8) = 7 + k, 8) = 4. C6 @,2) = 6. Vi de c6 61 @, h c6t 2), 31 (3, 4 hdng b), 71(i, k c6t 7) n6n (z, 3; = 4+ (i,4) = 3 vi dd c6
47 @, h c6t 8). C6 (h, 4) = }vi trong cilc sd x37
chi c6 337 1i SNT. Suy ra (h,5) = 3. C6 (d,,4) = \
(kh6c 6 vi 639, 679 d6:u ld hgp sfl. LAp luan
tidp & c6t 1 6 c, d, ta suy ra bAng tr6n, ddng
thdi c6 (9, 5) = 2, (e,5) = 3.
Bhi to6n c6 2 nghiOm nhtt bing tr6n, trong
d6 6 (k,6) c6 thd ldv st|tri 3 ho[c ?.
Hoan ngh6nh c6c ban tim dring vd dri 2
nghi6m, c6 lAp luAn : Dtong Dtc Thanh,10A3, THPT Li ThAi Td, TU Son, Bic Ninh, 10A3, THPT Li ThAi Td, TU Son, Bic Ninh,
Nguy6n Xudn Mj,11A, THPT Vinh Loi, B4c
Li6u, Nguydn Vdn Anh, s6' at td ?, TT!.ThuAn Chdu, Son La. ThuAn Chdu, Son La.
a, b d b h I 2 I 3 1 I 7 1 D 3 1 2 I a 6 7 3 1 7 D 3 7 3 3 7 4 I l b 6 I o I 4 I I 1 3 3 I 7 I 7 4 3 I 7 3 1 2 1 7 lr7 I 2 I
uor rm TrN Hoc rnn ruouc cuuy0n
\a/A\
ToAN QU0c LAN THUxr.2oos
HOi thi Tin hoc tr6 kh6ng chuy6n tod.n qu6'c
ld" in,r XI do Tlung trong Sodn f:NCS HdthiMinh, 86 Khoa hoc vd C6ng ngh6, 86 Gi6o duc Minh, 86 Khoa hoc vd C6ng ngh6, 86 Gi6o duc vd Ddo tao, 86 Brru chinh - Vi6n th6ng, BO Tdi chinh, Dai hoc QuOc gia Hd N6i, Ddi Truydn
hinh Vi6t Nam, UBND TP Ha N6i. HOi Tin hoc
Vj6t Nam phoi hgp td chitc da di6n'ra tt ngdy'S
d6'n ngiy 6/8/2005 tai Dai hoc Qu6'c gia He NQi.
Vd dg HOi thi n[m nay d6 193 thi sinh tt 53 tinh, thenh vd^ ngdnh trong cA nr-t6c, trong d6 c6 64 thi sinh Ti6u hoc (bing A), 60 thi sinh Trung
hoc cd s6 @ing B), 60 thi sinh T?ung hoc phd
th6ng (bing C), 9 thi sinh drr thi phAn m6'm
s6ng t4o, kh6'i kh6ng chuy6n (bing E). Tdng s6' phdn m6m s5.ng tao kh6'i khf,ng chuyOn ftBng
D) vd kh6'i chuy6n @ing E) ia Sn 6rirdn mdm)-.
Ngoli ra HOi thi cdn to ch(rc thi 'Tin hoc Vui"(bing G) cho tdt cA c6c thi sinh drr thi, (bing G) cho tdt cA c6c thi sinh drr thi,
Chi6:u ngny 61812005 tai H6i tnrdng Thing
Long, Khr{ch san M6lia He NOi, Ban chi dao h6i
thi de trao 99 giii thrr6ng cho c6c thi sinh doat giii cdc khdi thi, phAn- mdm s6ng tao khdi
chuyOn vd kh6ng chuy6n : Vfr. Thdi Bdo (HLi Phdng) gifu Nhdt bing A, Trd,n Ngoc Minh Huy @d N4rrg) giii Nhdt bAng B, Nguydn Dtc
Ldn @d Nnng) gi6'i Nhdt bing C. Giii ddng d6i thu6c vd d6i Da Ning. LA Trxdng Quynh Giang 06p 3, TH Dodn Thi Di6m, Lffm D6ng) la thi
sinh tre tuoi nhdt doat giii. Cu6c thi c6 6 thf
sinh ld ngudi thu6c c6c dAn t6c thjdu s6'.
Ot! Uidu drrong su cd g6ng hoc tAp cria c6c thi
sinh, Ban Bi th^u TU. Doin da quydt dinh ting
Huy hi6u "Tu6'i trd. sdng tao" cho c6c thi sinh dat g'rii Nh{t, tang Bing khen cria BCH, TU',
Dodn cho tdt cL c6c thi sinh doat giii Nhi vd
giAi Ba ; Lanh daq B0 Gi6o duc vd Dio tao d5
quy6t dinh tlng BAng khen cho 7 thi sinh doat
giii Nhdt thi todn qu6'c, giii Nhdt phAn mdms6ng tao. s6ng tao.
Dd ghi nhAn vi bidu duong c6c tAp thd, c6
nhAn c6 thinh tich xuA't s6c trong chi dao vh
ph6'i hop td chfic, phuc vu, tdi tro HOi thi trong
11 ndm qua, Nhd nd6c dd t[ng thu6ng [IuAn
chttdng Lao dQng H?rg Ba cho Trung tAm
ph6t trien Khoa hoc, C6ng ngh6 vA Tii nang tr6 - Thuong LrUc Ban td chrlc H6i thi ; Thfi tu6ng
Chinh phri tang Bing khen cho 4 ddn vi : Tlung tAm Ph6t tri6n Khoa hgc vd Cdng ngh6 tr6 thu6c Thdnh Dodn TP H6 Chi Minh, Buu di6n
tinh Ldm Ddng, H6i ddng D6i TP He'Ndi, Kh;; C6ng ngh6 Th6ng tin Tnrbng Dai hoc C6ng
ngh6 thu6c DHQG He NQi ; Ban Bi thu TU.
Dodn TNCS Hd Chi Minh quydt dinh tnng Ki ni6m chudng "Vi thd hA tr6" - Danh hi6u cao
DANH SACH
oQc cm DoAr crAr cuOc rHr
XUAN RA D6. rE cral DAP
CtAt ttnir : Lxong Thd Hud,n, sinh nsey11.05.1960, 7601U22 X6 V.idt Ngh6 Tinh, P.21, 11.05.1960, 7601U22 X6 V.idt Ngh6 Tinh, P.21,
Q. Binh Thanh, TP H6 Chi Minh.
eutNui:
l) Phan Tlong TiQp, sinh ngd.y 10.03.1980, tnldng
THPT Chi6m H6a, Tuy6n Quang.
2) lYd,n Nhu Ngrc, sinh ngdy 20.09.1991 THCS thi trdn Phu6c An, 16p 8A3, huyQn Kr6ng Pek, Dnk Lek.
otlt na:
l) Duong Dtc Thanh, sinh ngdy 24.02.1989,
trrJdng THPT L9 thei td, tAp 1043, Huy6n Tr) Son,
Bic Ninh.
2) Hcnng Thi Thu /{iing, sinh ngiy 30.07.1988, x6m
Trai, x5. Nam Tidn, huyQn Phd Yen, ThAi Nguy6n.
3) Hod.ng Tudn Linh, sinh ngey 08.08.1988
tnilng THPT Nguy6n Tdt Thdnh, 16p 11 To6n,
TP Ydn B6i, Y6n B6i.
cw ruwiN xnicu :
l) Nguy1n TYgng Tin, sinh ngiy 14.02.1988,
trudng THPT Gia Dinh, l6p 1141, TP Hd Chi Minh.
\ Nguy1n Vdn NguyAu sinh ngdy 12.02.1.947, 30
Nguy6n Trttdng T6, Khu ph6 2, L6c Tidn, TX BAo
L6c, LAmD6ng.
3) Hd Minh Nhrlf, sinh ngdy 03.11.1990, 71 Ph6 Drlc
Chinh, P Th6ng Tam, TP Vtng Tdu, Bi Ria - VringTAu.
$ I* Minh Nhdt, sinir^ ngay 02.11.1988, trr:dng
THPT s6't Tuy Phrt6c, 16p 11A1, huyQn Tuy Phtt6c,
Binh Dinh.
5) Mai Thd Sx, sinh ngdy 01.12.1988, trudng V6
Minh Diic, 16p 11/5, TX fthfi Ddu M6t, Binh Driong.6) Phan Th! Hiing, sinh ngiy 13.10.1989, tr[dng 6) Phan Th! Hiing, sinh ngiy 13.10.1989, tr[dng
THPT Trdn Htrng Dao, ldp 1048, Mang Yang,Gia Lai. Gia Lai.
THTT
quf cria Dodn TNCS Hd Chi Minh cho 3 chuy6n
gia COng ngh6 Th6ng tin da c6 nhi6:u d6ng g6p
96o duc, ddo tao thd hg tr6 ; tAng Bang khen cria BCH TU. Dorin cho 25tlry thd vd 30 c6 nhAn.
HQi thi Tin hoc tr6 kh6ng chuy6n todn qu6'c
tdn itrti XI - 200'5 da dat drr6c c6c muc ti6u, y6u cdu dd ra, d6 ld c6'vfl duoc d6ng dAo thanh thidu nhi hdng say tim hidu vd c6ng ngh6 th6ng
tin, tich cgc hoc tAp vi nAng cao kidn thirc Tin
hgc, tao ti6'n dd quan trong vi cdn thi6i cho tudi
tr6 Vi6t Nam xung kich di ddu trong sri nghiOp C6ng nghidp h6a, Hi6n dai h6a ddt nri6c, g6p
phdn thrrc hi6n thing lgi chi thi 58 - CT/TU cria
86 Chinh tri DCSVN.
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