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Chir tich Hoi ddng Thdnh vi6n ki6m Tdng Gi6m ddc NXB Girio. dgc ViQt Nam
NGUT.NcOTRANAI
Ph6 Tdng Gi6m d6c kicm Tdng bi6n qp NXB Gi6o duc Vict Nam
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Tdng bian fip : TS.PHAM THI BACH NGQC Thu kiTia soan : Ths'nd QuaNc vrNH
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chdt cdc didm cuc
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TRONG SO NAY
Dhnh cho Trung hoc Co s&
Vfr Httu Binh- Ti lg thrlc vI ddy ti s6 bang nhau ...1 Phan Dinh Anh - Ihg dung cira mOt h0 thrlc
hinh hoc vdo giii 1o6n............ ........4
Di thi tuydn sinh viro lop 10 THPT tinhllii Ducrng nim hoc 2013 - 2Al4 -.......'.........9 llii Ducrng nim hoc 2013 - 2Al4 -.......'.........9 Giirp ban 0n tAP
NguyAn KhdnhTodn - V6 dep khi chrlng minh
bdt ding thfc Cauchy, Bunyakovsky........""' 10
Lau Vdn Bi6n - MOt sd bii to6n tinh g6c
trong khOng gian........ ............"" 13
L€ Ngd Nhdt HuY - Bin vd hai dang to6n
ctra gi6i tich td hqp.........'.. ....-...17
Chudn bi cho ki thi tot nghiOp THPT, thi vio
Dai hoc & Cao tling
Nguydn Vdn Thi€i - Tfnh
tri ctra d6 thi hlm sd Y
(mg dung .......'..........21 Nguy€nTdtThu - Tht srlc trudc ki thi.....'.."' 25 NguyAnVdnThudn - Phuong ph6p giii bii tap
dao dQng vd s6ng Yatli 12 ......""27
Ddo Hfiu Vinh - C6c loai phin (mg trong ho6
vO co vi hfru co Ho6 hoc 12 .........-.......'....."" 30 Girii tl6p Todn hoc vui Ki 8......'......'.........."' 33 Di€n tlin day hoc to6n
Ddo Tam - Ph6t hi6n vd srl dung hinh trung
gian dd tim ldi gi6i bni to6n hinh hoc & trudng phd th6ng... ............"' 34
Nhiiu c6ch giii cho mOt bhi to6n
Vi€t Hdi - MQt tinh chdt ctra hai dubrng trdn
cit nhau...... ................38
Giii to6n vdi m6y tinh
Tr,in Dinh Cil - Mrdt sd bdi to6n gi6i tich trong c6c ki thi giii to6n tr6n m6y tfnh cdm tay.......40 Hudng d6n - D6p s6 dd thft sfc trudc ki thi 44 Ban cdn biet ............ ....-..............46 Don vudn To6n.......... ..............""'47
NHAxUAT BAN GIAo DUc vIET NAM
f--:-
Tqng qus cho
gioo vi6n khu vLrc mi6n Trung
Fh* TG* tljgr,'_v$* it4inh Kfiar:g i;;l Pho T** tiulnh
Ba V*n tdng qua cho mOt
=5 gia* vi*n hu_v6n VInh
Linh, *u*ng Tri bithiei haido cryr: b&a s6 ,i0. ng"i,
4.'J0.2C13.
Bi thu, **an Tl.lC$ H* Chi fu,tinh
V* T?1! Lar; Anh t*ng hai trj sdch *hr
Thu vi8n Tmong THCS L*ng T*o,
SSng V&n, H* Gi*ng, ngay 4.1G.?e 13,
QfrhV:c hi6n dao Ii "Ld ldnh dum lA rach", "Nhuong com s6
\!,Jao", ngay sau khi nhAn duot tin si6u bdo Wutip 1sO f Oy tan
phd midn Trung, NXBGD Viet Nam da td chuc doan cOng tdc do Pho Tdng Gidm dcjc Nguyen Minh Khangldm truong dodn cung
cdc ddng chi Pho Tdng Gidm ddc Huynh Bd Vdn, pho Gidm d6c NXBGD tai TP. Da Nang Le Bt'ch Ngqc ddntham h6i, tang
qud cho cdc gia dinh c6n bo, gido vien nganh gido duc hai tinh Quang Binh vd Quang Tri, tdng tri gi6L 100 trieu ddng. Tai eudng Tri, dodn dd truc tielp xuclng thdm hoi vA tdng qud, dQng vien cdc gia dinh gido vien tai hai huyOn VInh Linh vd Gio Linh. Ti6p do,
doan cong tAc cung Thu truong Bo GD&DT Nguyen Thi Nghia
di toi Quang Binh tham hoi, trao qud cho gia dinh mOt sd giiio
vien bi thiet hai ndng nd sau bdo.
C0ng thoi gian ndy, Dodrn TNCS Hd Chf Minh d6 tang hai t0
s6ch tri gia 50 trieu ddng cho Thu vidn Truong THCS Lung T6o,
!1Ven Ddng Vdn, tinh Hd Giang nham giup cAc em vung cao D6ng Van duy tri vd bdo ddm c6c didu kiQn hoc t6p trong thoi ti6t ffrac nghi6t.
Thu,i*-r*ng *6 GE&*T Ngtiy1n,Tfoi ftrs"ft;;, ph* TGC iYg*;a$n fu1istfu !1fua;tg vdi Fhc TGS Hulini; Fa i€r;
ting qu* ehe n:ot s5 gie-*: vier': Gudng Binh b! iirier i'iei sau bEo, ngay 5.iC.101-'?.
Dia chi: Ducxng H6 Nudc NgQt, Phuong 6, Thdnh ph6 Soc Trdng
rlrCIng THPT chuyOn Nguy6n Thi Minh Khai iinh Soc Trdng dugc ttranftap vdro ngdy 1b1511996 theo Quy6t dlnh s6 300lQD TCCB 96
cira UBND tinh Soc Trdng voi nhi6m vu phat hiQn vdr b6i dudng hoc sinh
ndng khi6u, gop phan dao tqo nhdntai cho qu€ hucrng, d$t nuoc vd xdy
dyng nha trucrng thdnh hinh miu ve chAt lucrng gi€ro dUc todn di6n cho
cec trLrcvng THPT trong tinh.
Vcvi kh6u hieu hanh dong: "Ndng clQng'Trf tuQ- Manh mE- Khdt v7ng"
(b6n chCr c6idau crla t6n NguySn Thi Minh Khai), hoc sinh truong THPTchuy6n Nguy6n Tht Minh ffral Ouqc gi6ro dUc va ren luyen dO phat trien chuy6n Nguy6n Tht Minh ffral Ouqc gi6ro dUc va ren luyen dO phat trien
toan OiCn, th6a mdn c6c dam m6 v6 khoa hQc, nghe thuat, thO duc the thao, duqc s6ng dung voi lua tu6i c6a minh, duqc trang b1 nhi;ng kT
nang de dQc lQplrong suy nghT, ndng dOng trong-cuQcs6ng, co bdn lTnh
truoi kho khdn, s6ng co hoai bdo, khdtvgng, biCtton trong chinh mlnh,
tOn trong nguoi khiic vd ton trong cOng dong.
DQi ngg: Toan trucyng co 110 c6n bQ, giao vien, '100% dat chuAn vO trinh do chuyen m0n. trong do co 01 Tien sI, 35 Thac sT v2r 09 gi6o vien dang hgc sau d?l hoc vd nghiOn cuu sinh.
Co s& vQt chit: Khuon vi6n truong co di6n tich 16000m2 tai trung tAm thdrnh ph6 Soc Trang,
truong co dAy di c6c phong hoc, phong thi nghiQm thuc hdnh, thu vien vdr phong chuc ndng
vcyi cai thiet bi hien dai ddm brio mQt nnii trucrng hqc tQp chAt luqng, thin thiQn cho hoc sinh.
Khu kitCIc x6 dr-ysc xdy dung hiOn dai, ti6n nghi, ddm bdo an todn, an ninh cho hoc sinh.
Thinh tich co bin: C6c the he hoc sinh truong THPT chuyen NguySn Thi Minh Khai dA dat duo'c
nhi6u thdnh tich trong c6c ki thi qu6c gia, ki thi Olympic khu vqrc. Nhi6u hoc sinh c0a truong dd tro
thdrnh ti6n sT, cdrn bO nghiOn cryu khoa hoc, c6n b0 c6t c6n trong cdc ccv quan, ban ngdnh nhffng
doanh nhAn thdnh dat... T6t cd dang gop phAn tlch cqrc vdo su nghiep cong nghi6p hodr, hi0n dai hoa dat nujoc.
Voi nh[rng thdrnh tich dd datduqc vd tr6n tinh thAn "T\AY duqc vd tr6n tinh thAn "T\AY
tdm huy6t, tri tu6, hiQu quA -
Trb chdm ngoan, khlt vong,
thdnh c6ng I", toan the c5n
b0, giao vi6n, nhAn vi6n cia
trwong quyOt t6m n6 lwc ph6n
ddu de hodn thdnh xuSt sictrong trdrch md Ddng, Nha trong trdrch md Ddng, Nha nuroc, Ngdrnh GiSo duc d5 tin
tuOng giao pho; xung d6ng
voi ng0itru<rng ld ncvi gtiri gir,r
nidm tin y6u vd khdt vong, noi
thSp sang uoc mo tu6i tr6 cOa cdrc th6 h6 hoc sinh.
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