H¸I THO KHOA H¯C CÁC CHUYÊN ĐŠ TOÁN H¯C B˙I ·...
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Transcript of H¸I THO KHOA H¯C CÁC CHUYÊN ĐŠ TOÁN H¯C B˙I ·...
HI TON HC H NI TRNG I HC TY BC
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CH BIN:
NGUYN VN MU, NGUYN VN BAO
HI THO KHOA HC
CC CHUYN TON HCBI DNG HC SINH GII
VNG TY BC
K YU
HI THO KHOA HC
SN LA 28-30/11/2014
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I. BAN T CHC
1. TS. Nguyn Vn Bao - Hiu trng Trng H Ty Bc, ng Trng Ban;
2. GS.TSKH Nguyn Vn Mu - Ch tch Hi Ton hc H Ni, ng Trng Ban;
3. TS. inh Thanh Tm - Ph Hiu trng Trng H Ty Bc, Ph trng Ban;
4. TS. Nguyn Triu Sn - Ph Hiu trng Trng H Ty Bc, Ph trng Ban;
5. TS. on c Ln - Ph Hiu trng Trng H Ty Bc, Ph trng Ban;
6. TS. V Trng Lng - Trng Phng KHCN&HTQT Trng H Ty Bc, UVTT;
7. GS.TSKH Trn Vn Nhung - Tng th k Hi ng Chc danh GSNN, UV;
8. TS. V nh Chun - V trng V GDTH, UV;
9. ThS. Nguyn Thanh Tng - Hiu trng Trng Chu Vn An - H Ty Bc, UV;
10. TS. Nguyn Vn Hng - Trng Phng T SH Trng H Ty Bc, UV;
11. ThS. Nguyn Duy Quang - Trng Phng QT CSVC Trng H Ty Bc, UV;
12. ThS. ng Th Thu Hu - Trng Phng KT-TC Trng H Ty Bc, UV;
13. TS. Nguyn Hong Yn - Trng Phng HCTH Trng H Ty Bc, UV;
14. ThS. L Th Minh - Trng Phng CTCT&QLNH Trng H Ty Bc, UV.
II. BAN NI DUNG
1. TS. Nguyn Triu Sn - Ph Hiu trng Trng H Ty Bc, ng Trng ban;
2. PGS.TS Trn Huy H - Ph Ch tch Hi Ton hc H Ni, ng Trng ban;
3. GS.TSKH Nguyn Vn Mu - Ch tch Hi Ton hc H Ni, UV;
4. TS.V Trng Lng - Trng Phng KHCN&HTQT Trng H Ty Bc, UVTT;
5. TS. Hong Ngc Anh - Trng Khoa Ton - L - Tin Trng H Ty Bc, UV;
6. PGS.TS Nguyn Minh Tun - Trng H Gio dc, HQGHN, UV;
7. TS. Nguyn Vn Ngc - Trng H Thng Long, UV.
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CC BO CO KHOA HC
CC CHUYN TON HC BI DNG HC SINH GII VNG TY BC
ti Thnh ph Sn La vo cc ngy 28-30/11/ 2014
Chiu ngy 28.11.2014
16h00-17h30 Hp BTC v Ban Chng trnh
18h00-20h00 n ti
Ngy 29.11.2013
08h00-08h30 Vn ngh cho mng
08h30-09h00 Khai mc
Pht biu khai mc: NGT TS Nguyn Vn Bao
Pht biu ca cc i biu:
Pht biu dn: GS.TSKH Nguyn Vn Mu
9hh00-10h00 CC BO CO KHOA HC PHIN HP TON TH
iu khin: PGS.TS Trn Huy H, GS.TSKH Trn Vn Nhung
1. m Vn Nh, Biu din php quay qua s phc
2. Phm Huy in, Ton hc l c vic
3. Nguyn Thanh Tng - V Trng Lng, ng dng php chiu song song gii mt s bi ton
vct
10h00-10h15 Ngh gii lao
10h15-11h30 CC BO CO KHOA HC PHIN HP TON TH
iu khin: GS. TSKH Ngc Dip, PGS.TS T Duy Phng
4. Nguyn Hu in, a thc i xng ba bin v ng dng
5. Nguyn Vn Ngc, Tng hu hn lin quan n ly tha
6. V Tin Vit, V mt bt ng thc
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7. Nguyn Vn Nho, Gii thiu v s nguyn t gm ton s 1 v s nguyn t tuyt i
8. on Nht Quang- Trn Huy H, M rng mt bi ton c
9. Nguyn Triu Sn, Rn luyn mt s cch tip cn khi gii bi ton tm GTLN, GTNN
11h30-13h30 n tra
13h30-15h00 CC BO CO KHOA HC PHIN CHUYN
iu khin: GS.TS Trn V Thiu, TS. Nguyn Triu Sn
1. Nguyn nh Yn, ng dng i s i cng vo gii mt s dng ton PT
2. Hong Minh Qun, S dng hm sinh gii bi ton t hp
3. Nguyn Thy Dung, Lp trnh v thc hin trn my tnh mt s thut ton s hc
4. L Th Mai, Mt s dng ton v bt ng thc i vi tam thc bc hai
5. Nguyn Xun Thng, Mt s k thut c bn chng minh bt ng thc
6. Hong Vn Thng, ng dng ca vect v ta vect trong i s
7. L Xun i, Vn dng nguyn l b tr trong gii ton t hp
15h00-15h30 Ngh gii lao
15h30-17h00 CC BO CO KHOA HC PHIN CHUYN
iu khin: TS. Phm Th Bch Ngc, TS V Trng Lng
8. Nguyn Trung Ngha, Phng trnh hm t nhng cng thc bin i
9. Nguyn Quang Tn, Phng trnh Diophant v bi ton dy s
10. Hong Ngc Anh - L Th Thoa, Xy dng v s dng cu hi, bi tp phn ha trong dy hc
T hp - Xc sut lp 11 THPT gp phn i mi phng php dy hc
11. Trn Vn Lai, nh l Steiner - Lehmus
12. Nguyn Vit H, Mt s dng h phng trnh khng mu mc
13. V Vit Hng, Cc bi ton dy s di gc nhn ca ton cao cp
15. Vng nh Sn, Mt s h thc b sung v dy Fibonacci
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17h00-17h30 TNG KT HI THO
iu khin: GS.TSKH. Nguyn Vn Mu, TS Nguyn Vn Bao
18h00-20h00 N TI
20h00-22h30 GIAO LU VN NGH
Ngy 30.11.2014
08h00-9h30: Chng trnh hi ngh bn trn v
i mi phng php dy v hc ton khu vc Ty Bc
iu khin: GS.TSKH. Nguyn Vn Mu, TS Nguyn Vn Bao
1. Hong Ngc Anh - Nguyn Th Thy Linh, Rn luyn k nng s dng tam thc bc hai gii
ton
2. Hong Th Thanh, Rn luyn cho hc sinh tp dt sng to bi ton mi
3. Nguyn Hi L, Khai thc vn t mt bi ton n gin
4. Hong Ngc Anh - Li Th nh, Vn dng phng php dy hc pht hin vn
5. Nguyn Hu Hu-Nguyn Quang Khi, Rn luyn cc thao tc t duy cho hc sinh
9h30-18h30: Chng trnh tham quan thc a.
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Mc lc
Nguyn Vn Bao, Pht biu khai mc hi tho 8
Phm Huy in, Ton hc l c vic 10
m Vn Nh, Biu din php quay qua s phc 20
Trnh o Chin, Sng tc mt s bi ton Trung hc c s nh th no 27
on Nht Quang- Trn Huy H, M rng mt bi ton c 35
Nguyn Hu in, a thc i xng ba bin v ng dng 37
Nguyn Vn Ngc, Tng hu hn lin quan n ly tha 52
Nguyn Thanh Tng - V Trng Lng, ng dng php chiu song song... 61
V Tin Vit, V mt bt ng thc 68
Hong Minh Qun, S dng hm sinh gii bi ton t hp 72
L Th Mai, Mt s dng ton v bt ng thc i vi tam thc bc hai trn mt khong 82
Nguyn Xun Ngha, im bt ng v mt s bi ton lin quan 87
Nguyn Triu Sn, Rn luyn mt s cch tip cn khi gii bi ton tm GTLN, GTNN 98
Nguyn Ngc Xun, Bi Th Hng, Mt s phng php thng gp trong gii hn... 105
Mai Th Phng Lan, Mt s dng ton v a thc vi h s nguyn 116
Vng nh Sn, Mt s h thc b sung v dy Fibonacci 125
Nguyn Hu Hu-Nguyn Th Giang, ng dng ca nh l Roll. . . 136
Nguyn Xun Thng, Mt s k thut c bn chng minh bt ng thc 140
L Th Thun, S dng tnh n iu ca hm s gii phng trnh... 153
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Hong Vn Thng, ng dng ca vect v ta vect trong i s 160
L Xun i, Vn dng nguyn l b tr trong gii ton t hp 173
L Thanh Ba, Gii phng trnh v h phng trnh bng phng php... 184
Nguyn Trung Ngha, Phng trnh hm t nhng cng thc bin i... 189
Nguyn Quang Tn, Phng trnh Diophant v bi ton dy s 201
H Huy Hong, ng dng bt ng thc Bunhiacopxki trong mt s dng ... 209
Trn Vn Lai, nh l Steiner - Lehmus 214
Nguyn Vit H, Mt s dng h phng trnh khng mu mc 223
V Vit Hng, Cc bi ton dy s di gc nhn ca ton cao cp 230
Nguyn Thy Dung, Lp trnh v thc hin trn my tnh mt s thut ton... 236
Nguyn nh Yn, ng dng i s i cng vo gii mt s dng ton PT 246
Hong Ngc Anh - Nguyn Th Thy Linh, Vn dng phng php dy hc... 255
Hong Th Thanh, Rn luyn cho hc sinh tp dt sng to bi ton mi... 261
Nguyn Hi L, Khai thc vn t mt bi ton n gin 266
Hong Ngc Anh - Li Th nh, Vn dng phng php dy hc pht hin v... 270
Nguyn Hu Hu-Nguyn Quang Khi, Rn luyn cc thao tc t duy cho... 274
Nguyn Vn Thng, Gii php nng cao cht lng dy v hc mn ton... 285
Nguyn Th Hng Dip, Mt s phng php nng cao cht lng dy hc... 288
V Quc Khnh, nh hng rn luyn t duy sng to cho hc sinh ... 296
Hong Ngc Anh - L Th Thoa, Xy dng v s dng cu hi, bi tp... 301
Phng Kim Dung, Gii thiu cuc thi Olympic ton hc tr quc t IMC 2014 306
Nguyn Vn Nho, S nguyn t gm ton ch s 1... 313
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BI PHT BIU KHAI MC HI THO
NGUT. TS. Nguyn Vn BaoHiu trng Trng i hc Ty Bc
Ton hc l mt ngnh khoa hc c bn ng vai tr quan trng trong i sng x hi conngi. Khng mt ai trong cuc sng m khng cn ti Ton hc nu mun cuc sng camnh tt hn, hiu qu hn. Ngy nay, trong s pht trin nh v bo ca khoa hc, cngngh, Ton hc vn gi v tr ht nhn nng ct to nn s hiu qu cao trong nghin cu khoahc, trong ng dng sn xut, ch to.Nc ta c truyn thng hiu hc v c kh nng nhiu v ton hc. Cc nh Ton hc VitNam c nhiu ng gp cho cho nn ton hc th gii. Nhiu hc sinh Vit Nam qua cck thi ti v Ton hc quc t c nhng thnh tch thuyt phc. Tuy nhin vic ng dngvo cuc sng cha nhiu. Nhng nm gn y vic dy Ton, hc Ton cng c nhiu viccn bn ti. Vi vic i mi cn bn, ton din gio dc, o to nh tinh thn Ngh quyt 29ca ng ta th vic dy v hc Ton trong h thng gio dc quc dn s c i mi tondin vi mc tiu m bo vic dy Ton, hc Ton c cht lng cao xng ng vi s phttrin ca t nc, lm tng ng k t l nghin cu, s dng Ton hc mt cch c lp vt tin, ng dng ngy cng nhiu thnh tu Ton hc phc v cuc sng, phc v pht trint nc ca thi k hi nhp pht trin ton cu.Ty Bc l mt vng a chnh tr quan trng: Vng ni rng ln (Nu tnh cc tnh min nipha Bc th din tch l 102.000 km2 = 30,7% din tch c nc; dn s hn 12 triu = 14,23%c nc vi 32 DT), c bin gii vi 2 quc gia, vng u ngun ca Th v vng ngbng chu th Bc B, dn c a sc tc, a hnh ct x, t ai ph nhiu, giu khong sn,m c vn ha, giu tim nng v kinh t nh thy in, nng lm, ng nghip, du lch. . .Nhng Ty Bc cng l vng km pht trin: kinh t ngho, giao thng kh khn, gio dcthp km, ngun nhn lc cht lng thp. Theo ngun ca Chnh ph th lc lng lao nghn 7,7 triu ngi chim 14% lao ng c nc. T l ngi tham gia lao ng cha qua oto l 11,3% (c nc 4,6%), t l lao ng tt nghip ph thng v trn ph thng l 22,6%.Ngi lao ng qua o to c bng cp t s cp tr ln c 13,4%, trong s cp l 2,3%,trung cp 6,3%, cao ng 1,9% v i hc 2,9%. S ang i hc i hc, cao ng chim 5,7%tng s dn. Vi nhng tn ti v hn ch nhiu mt, trong c Ton hc cho nn ngi dnvng Ty Bc cn hn ch trong nhiu lnh vc, nht l ng dng khoa hc, k thut trong laong sn xut, trong cuc sng hng ngy. pht trin Ty Bc trn c s nhng tim nng li th v thy in, nui trng v ch binnng lm ng, du lch sinh thi, vn ha. . . Ty Bc rt cn ngun nhn lc c thc v cngdn, c trnh v gio dc, c bit c trnh Ton hc, ngy cng nm vng kin thcv cc vn an ninh chnh tr, vn ha, cc ngnh kinh t vng Ty Bc nh trng trt (nngnghip, lm nghip, cy cng nghip, dc liu, hoa cy cnh.. ), chn nui (i gia sc, giasc, thy sn), ch bin nng, lm, ng, k s xy dng, giao thng thy li, thy in, hngdn du lch, bo tn, pht trin vn ha. . . ngi dn nhn thc tt hn, t tin hn trongcc hot ng nhm a kinh t, vn ha, du lch pht trin, pht trin bn vng, hi nhpngy cng su, rng vo nn kinh t t nc, kinh t th gii. . . . l mt nhim v ht scln lao.Trng H Ty Bc c thnh lp nm 200
