dol vol n, la -,- ''-- 3'4'5'6' j'g' 937 -i ngtria ci-r-
c6c PSGDTN tr€n nhu saụ Ching
R7
han '8: duoc hi6u ld: Cri 8 n[m DL thi c6 87
ngdy nhu6n AL. SO ngdy AL thi6u hoflc thria (n6u c6 dAu - h s5 ngdy thira) kong mdi nAm
ata ! bing n, - t lrrgey AL). ching han,b"h b"h
87 1
n,- ' 8 = = 10.875133- 10,875 =-{,00013 =--7692'
tnc ld sau 7692ndmthi thta kho6ng 1 ngdy AL.
Bii to6n 2. Tim hai s6 nguy6n duong b (vli 3 < b < 240 ) vitc sao cho b ndmDl- hon b ndm
AL khoing cthingnhuAn AL, vd tinh sai s6 cua
k6t qu6, tuc ld s6 ngiy con thtra hay cdn thi6ụ
Ldi gi,fiL Ta x6t hC thfc bno- bnt: bn,= gy^.
Dat ' e: n' - 10'875133 =0.36826673... thi
tA 29,530588
trong m6t n[m DL c6 n, : 0t1 ngiry nhuQn AL.
Tinh tuong t.u tr6n đy c6c 'b PSGDTN 9 AOi
voi 0 md m6u s5 b md3 < b < 240 ld, 34767748188
8'l 1'19'1 82 ' 2ol' 220' 23g'
-i nghTa ct.r-
chc PSGDTN tr6n nhu saụ Chiing
7
ha,
- (c6c nhd ldm lich chon ph6n s6 ndy)' 19' ' 19'
duqc hi6u li: Cri 19 n[m DL thi c6 7 thdng
nhuQn AL. SO ngiy AL thi6u ho{c thria (n6u
c6 d6u- h sO ngiy thua) trong m6i n[m so voi
ngdy DL bingn,- l,o:, u- ;Ls: (0 - ;r^ (ngdyAL). Ch5ng hqn,n,- 1rn=t9" (0,368266 - 0,368421) ta: (- 0,00155)29,530 1 = 4,04577 = ' - ' 2t'. htc ld sau 2l n6m thta
khoing 1 ngdy AL.
pC tintr cic ndmDl, c6 nhufln m6t th6ng AL,
ta 6y s6 n[m DL chia cho 19, n6u sO du t org
phdp chia d6 le 0, 3, 6,9, ll, 14, 17 th\ cbc
ndm DL d6 c6 mQt th6ng nhufln AL. Ta chon 5
khoing c6ch gifia hai n[m nhufln li6n ti6p h 3
ị
nlm (img voi s6 du 3, 6, 9, 14, 17) vd 2
khoing c5ch gita hai nim nhuAn li6n ti6p ld 2
n6m (img vcri sri du 0, 11) do 19 : 3.5 + 2.2.
Trong 19.3:57 ndmtu ndm 1975 d€n}O3l
thi c6c nIm DL sau c6 mQt th6ng nhu$n AL. 56dukhichiacho 19 0r+3) 36+3) 6(+3) 9 ft2\ 1 1(+ 3) 14 (+ 3) 17 ft2\ Ndm DL t976 t979 t982 1985 t987 r990 1993 Th6ne nhudn AL 8t 6d 4t 2d 6t 5t 3t Ndm DL 1995 1998 2001 2004 2006 2009 20t2 Th6ns nhuAn AL 8r 5t 4t 3t 7t 5t 4t Ndm DL z0t4 20t7 2020 2023 2025 2028 2031 Th6ne nhu6n AL 9t 6t 4t 2t 6t 5t 3d
'i i, : l) Th6ng nhuQn AL durỵ c ghi: 8r ld th6ng 8 thi6u, 6dldthi-rrs6 dt...
2) Khi chgn clflt th6ng AL ndo ld th5ng nhuf.n nguoi ta cdn phii ftra vdo sti ngdy nhudn AL (Bai to6n 1), d6ng thoi phdi phu hqp voi c6c ti6t khị
A lqprhi I0[tllg(rslUdl mi
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xulr niN rt] Dot
s6451(1.2015)
Ioa sỏn : 1878, pho Gling t6, fia iloi oI Bl0n la[: 04.35121607 0T - Fax Ph6t hin[, r]! su: 04.35121606 Emall: l0anh0Elu0lteuietnam@gmall.G0m
BAN CO VAN KHOA HQC
GS. T SKH,NCUYEN CANH TOAN
GS. T s KH . rnAr.r vaN NHUr.rc
7S. NGÍYENVANVỌ NGcs. ooaNquir.ur cs. ooaNquir.ur
PGS S. TRANVAN}IAO
cH[u raAcu Nnryru xuir nAtt
Chir tich HOi đng Thi,nh vi€n NXB Gi6o duc Vi6t Nam
lucuf. Nc,o rnAN er
Tdng Gi6m đc ki€m Tdng bicn tflp NXB Gi6o duc Vi6t Nam
GS.TS.WVANHTNG
ttot oOxc aruN rAp
Tdng bian fip : TS.rnAN uUU Nma ThukiTda soan : ThS.ffd QU,qNc vrNH rs. rnAN oiNn csau, rts. NcuGN eNH oCrNc, rs. rnAN Nerrr ofxc, rs. NcurEN rr,rrNn ofc, rs. NGITYEN
MrNH HA, rs. NcuyeN vr6r uAr, pcs. rs. rE eu6c uLN, ras. rHAM vAN rtxc, PGs. rs. v0 rrumr KHTET,
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GS.TSKH.NGITYEN VAN r"rAU, Org NCUTBN rcrAC Un\ilr,7S. PHAM THr BACH NGQC, PGS. rS. NCUTEN OANC pnAr,
pcs. rs. TA Duy pHrxJNG, ras. NcursN rrd rn4cH, cs. TSKH. DANG HUNG rs.{Nc, PGs. rs. pruN ooAN THoAL
rts. vU KrM THUy, pcs. rs. vU DUONG THUY, GS.TSKH. NcO vGr TRUNG.
TRONG SO NAY
O "5 ki niQm 5o nim T4p chi TH&TT @ ,r- hidu sAu th6rn to6n hgc so cdp
O5 Utnn Khoa -Vd nhrlng bdt biSn trong
c6c bdi to6n hinh hoc td hgp.
@ oannchoTrunghgcCosd
For Louer Secondary School
Dodn QudcViet -IJln1 dung cria tlfnh li
Van Aubel trong tam gi6c.
@ HrO"g dAn gi6i D6'thi tuydn sinh vio l6p
10 tnrdng THPT chuy6n LO Quf D6n, Binh Dinh, ndm }roc 2014-20L5.
@ Cn..dn bi thi vio d4i hgc
U niu er sity Entr anc e Prep ar atio n
Kidu Dinh Minh - Phrrong ph6p gi6n tidp
trong bdi to6n vidt phtrong trinh dridng vi mat.
@ HuO"g dan gidi - De só}.
@ ciai bai ki trđc
Solutions to Preuious Problems Gi6i c6c bii cria 36 447.
@ ,ou, hgc va doi sdng
ViCt Hdi - PhAn sd gAn dring tdt nhdt v6i
viQc tinh lfch.
Anh Bia 1-. Tidt mqc udn nghQ cila cdc em hoc
sinh tntdng THCS LA Qu! DOn, Cdu Gidy,
Hd N|i trong LA ki niQm 50 ndm Tap chf TH&TT.
@ ,a ra ki niy
Problems in This Issue
T1,l 457, ..., T l2l 451, Lll 457, L2l 451.
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.ạ
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Cach dvns Tiídi0m'P bbt ki tr6n. dovn KO
(r m,ạ x11,'n5i ri ia po rri di6m K ke
KM //,PD Vd KM C6t CD tAi M,
"KE
KN // PE ViI
KN cdt FE tqiN. Ke c5c do4n thdng PK, PM, PN thi chirng chia lpc gi6c dAu thinh ba ngfr gi6c 16i v6i Soo-u-: So*"r- Sr*o*.
Chilmg minh. Goi H ld trung di6m cua ED. Ta
thiy Souroro: 6Sour: 3OH.ED: 3S*r.
Do KM // PD n6n S*, : S*o(chring c6 chung
diy PD vd chidu cao bing nhau). Tucrng tU c6
.. : t:.:e ,PED -LQ -rQ :e ,PED -LQ -rQ \tnó ,NPE= S'i*r*n€n :':,:: s :'s Tt:rd6 "PVDỆ 3"aacotr,' j * "" Sorrorr- Srrrur:
is*ro* ' Do tinh chdt d6i
ximg cira hinh qua truc KIlthi
1
S rML_tl oror-r.r: Soo,..': rNlr\ I Srrroro: S".rru,. (hinh vE)
3
F
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K€t ludn: Cho luc gi6cdilABCDEF,vdi di6mP
U6t tci trdn doan KO (P kh6c fiJ thi 1u6n k6 duoc
c6c doan thing PK, PM, Pl/ thoa mdn di6m M
tr6n canh CD, di6mNtrdn canh FE dA chia duoc
qqdh,P
PHAI{ GHIA ỊUE GIAG OEU
{*&.6eezg €r8ae TEE&.TY Sd'44'4. dk&seg S vc*Ele 2{}i,6}
luc gi5c d6u thdnh ba ngfr gi6c 16i v6i di6n tich
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Dang nhaụ
Chti !,: Bdi to6n vdn c6 loi giai khi di6m P thu6c doan OH sao cho PMD < OCD :60".
PHI PHI
/d* 50 hrfr
j; i,' :,;,;;.,aa - clxqnq, &rbfiq, dff
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t'
''.i ,,,,' Lx{nn/fuAn? nhir,nq, nharutai,
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,/rir" sanq, ta,(r, m.di, fr*,/ (- t/rrrdrrg,dh4l9', c"lLuUPn' ru4n' tn *74/ a&m*/ dh4l9', c"lLuUPn' ru4n' tn *74/ a&m*/
. t., nhnq,uOo/Ldt, teL{rtwq/ rụA,i,d//,qq,{)i d::,:,, {)i d::,:,,
sar,{r, li,A, za&$, M"aa stlt? ' ,ị, '
"'i .'.!,, t. Wng ?&, tadn/ cufiq/ gr{, t rl,
x )friF
'Xrrhru salry tildi m^dn uai, tlw/
V.frrtrrc&ri* Ahru tn&, mc; sat/ {rrr* ,qrr*L
Hoing Gia Hung
7*+-n,i,:,, :i:'' i;tt:7 ;:,t
7rrý), lnr t/,,, ' /,t,,t,', ,t
fis
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