SGK BT chuyên tin quyển 3

HO sT DAM (chri bien) DO DUC DONG - LE MINH HOANG TRAN NcuyEru THANH t\\JL.rtEt\ Iftrll utrtrtc \ o6 HUNC AA TAI IIEU CHUYEN TIN H0c I I \rl BAI TAP n QUYENJ nHn xuAr sANr orno ouc vrEr runvr t, HO SI DAM (chri bien) DO DUC DONG - LE MINH HoANG - TRAN NGUYEN THANH HUNG , Do HUNG lA/i TAI IITU CHUYTN TIN HOC l1 \ /'l '{3 BAI TAP OUYEI (Tai bdn ldn thn nhtir) NHA XUAT AAN CIAO DUC VIET NAM ' Lor Nor oAu Bo siich Tditiau chuyanTin hoc - Bdihap Quydn 1,2,3 duoc vidt kdm vdi b6 Tdi li4u chuyanlin hpc - Quydn 1,2,3 ruong rmg dd du-o.c xuat brin G4c tac giA tham gia biOn soan b0 s6ch ld nhirng thdy gi6o dd vl dang d?y o c6c rrudng chuy6n, ldp chon hodc tham gia cdc kh6a bdi dudng thi tin hoc qudc td, bdi dudng gii{o vion tin cho ci{c trudng chuy6n theo chuong trinh crja BO Gir{o duc vd Dho tao, mong mudn xAy dung du-o c c6c tdi 1i0u c6 tinh h€ thdng phUc vU t6t cdc ddi tuong thuoc llnh vuc chuy€n tin hoc C6c cudn Tdi li4u chuyan Tin hoc - Bdi tdp ddu c6 cdu trfrc nhu nhau, g6m hai phdn: Phdn I - Bii tQp bao g6m tat ch cdc bei mp rrong nhfrng chuyOn dd cira s6ch Tdi Hau chuyan Tin hoc fiong rlng vh c6c bdi mp bd sung, duoc sap xdp tD d0 den kh6, til don gi6n ddn phrlc tap, Phdn II - Hudng dAn giii bii tAp c6 the IA nhrrng huong ddn chi tidt dd girip ban doc tim duoc ldi giii hoac chi ld doan chuong trinh chinh girip ban doc hidu vd tim du-o c ldi giii hoac chuong trinh ho)n chinh dd tham khio Ddi vdi m6t sd bli tap th) c5 thd chi ld d5p 6nhay huong d6n ngin gon Hai bo s6'ch Tdi liaw chuyan Tin hoc vd, Tdi liau chuyan Tin hoc - Bdi tdp tao thhnh h€ th6ng tdi liOu kh6 hodn chinh theo dinh huong Chuong trinh ciic chuy€n d€ chuyOn tin hoc dd duoc Bd Gir{o duc v}r Ddo tao ban h}rnh Do vdy cDng vdi b6 s6ch Tdi li0u chuy0n Tin hoc, b6 sSch Tdi liAu chuyAn Tin hoc - Bdi ttlp sd ld tdi liOu thiet thuc phuc vu cho gi6o viOn, hoc sinh c6c trudng chuyOn, l6p chon ci Trung hoc phd thOng vd Trung hoc co s& Ngodi ra, b6 silch cdn lh tii lieu tham khdo bd ich cho vi€c tap huan sinh viOn cdc trudng Dai hoc, cao d&ng rham gia ciic k) thi olympic Tin hoc Sinh viOn Tobn quoc vd Ki rhi lap rrinh vi0n eudc te Ltru ! \Iac dD cdc tdc gi6 vd Ban.biOn tap dd cd gSng hobn rhiOn nhung ch6c chSn b0 sft dqng bQ sdch: cdc bdi tap ffong b6 s6ch ndy ddnh sd nhu sdch li thuydt; c6c bhi tap bd sung duo c dd & muc ri€ng vd drinh sd tidp rheo du,o.c sdch cdn nhidu thidu s6t, c6c tdc gia mong nhan duoc nhidu kien ddng g6p dd sdch s€ hodn thiOn hon, phuc vq ban doc duoc hi6u qu6 hon Cdc g6p i,xin giri vd: f BanTodn-Tin, Cdng ry t'o pldn Dich vu xuat bdn Gido duc Hd N6iNhd xudT bcinGido ducVi€t Nam, lSTB,GicingVd, Hd NOi C6c tirc gih tl I X r1 C p V t I Tr In ca d6 Or ph, Vf t I-T t; tq l- t Qro" Bei t+p rixu roAx cHUYnx on HiNH Hoc 8.1 Tim d0 dai doqn ttring nim tam gi6c Tr€n m[t phing cho tam gi6c ABC vd do4n tning DE Tinh d6 ddi cira phAn doan thing DE nim tam gi6c Input: BAI0I_C8.INP g6m hai dong: Dong thri nhAt c6 s6u s6 thuc XA, yA, XB, yB, Xc, yc lAn luot tung cdp ld toa dO tucrng fng cira ba dinh A, B vd C Dong thf'hai ld b6n s6 thuc XD, yD, Xe, yE lin lugt hrng cdp ld toa d0 hai di6m D vd E (-) output: TOp BAI0I_c8.our chi c6 m6t dong nh6t ghi so thuc ld dq dai phAn doan thing DE nim tam gi6c ABC Vi dq: BAIOl CB ]NP BAIOl CB.OUT TQp 422442 4233 r6228 8.2 Tim di6n tich phan chung c0a hai tam gi6c Tr€n mdt phang cho hai tam gi6c Tinh didn tich ph6n chung cria hai tam gi6c d6 Input: BAI02_C8.INP g6m hai dong, m6i dong c6 s6u s6 thuc lAn lugt ttmg cflp ld toa dQ tuong ring cira ba dinh cira mOt tam gi6c c6c toa d0 c6 gi6 tri tuyQt eOi tnOng vuot qu6 l0r TQp output: T€p BAI02_C8.ouT chi c6 mQt dong nhAt ghi s6 thuc ld di€n tfch phAn chung cira hai tam gi6c ndy (chinh x6c dr5n l0-') vf dg: CB INP ' \'€tr khdng cht' dinh gi th1m thi sach xin ilu'o'c hi€u rdng cac s6 trOn cilng ddng ivoc ghi c'ach it nhtit m6t diiu cach 8.3 Tinh diQn tich phin ph0 b&i N hinh chir nhft I Cho hai hinh chfr nhflt v6i c5c cpnh song song v6i c6c tryc toA dg M6i hinh cht nhit x6c dinh bcri to4 dQ hai dinh.d6i Tinh diQn tich phan m[t phang dugc phu boi hai hinh chfl nhQt vd diQn tich phdn chung ctra chring' Tt bei to6n ndy ta suy bdi to6n t6ng qu6t tinh diQn tich phAn phri boi N hinh chf s€ nh0t nhu sau: c6c Tr€n mat phing toa d0 xOy, cho N hinh cht nh4t c6 c6c c4nh song song v6i tryc toa d0 a) Tinh diQn tich phAn mflt phing dugc phri bdi N hinh chir nh4t niy b) Tinh dign tich phAn chung cua N hinh chfr nhit ndy' Input: TQp BAI03_C8.INP c6 dong diu ghi s6 nguy6n N (1 < N S 10000) Trong N do.rg ti6p theo, dlng thf i co b6n sO nguy€n Xir, Yir: xtz, Ytz th6 hiCn (xir; yl) ld i toa d0 dinh tr6i-du6i vd (xiil y,z) ld toa d0 dinh ph6i+r€n cria hinh chir nh4t thu ( yit < Yiz Sthi A c6 tti6m y€n ngya t4i (1, 2) h€n giatritrd choi ld o Vdi Q < 1, kh6ng c6 gi|tri tro choi di6m ydn ngga; dung dinh li cdn bang gi6i tro choi thi ,.1 ld v xdp xi - ,'giiira o-v dugc v xdp xi T K6t lupn: Gi6 tri trd choi G0 (lA v k€t thric duqc) phu thuQc vdo Q (gi6 tri tro choi Go k6o dii mdi) Nhmg v chi thqQc do4n [1; 5] vd l6n cpn l 9.47 Ggi gi6 tri cira ciic trd choi G1, Gz, Gr ttugc tet tnfc tuong ung ld yt, y2 vh v3 Nguoi choi thri nh6t c6 ine Uao ddm v1 ) 0, vz > vd vr ) 0, vi dg nhu bing c6ch lu6n lu6n dung chi6n thuflt (0.5; 0.5) Hcrn nfra c6 th6 th6y v2< I vd vt12, suy vr 1, n€n kh6ng c6 tro choi ndo c6 ditfm y€n ngua Ap dqng ktit qui cria tl ( trd chcyi ma trin 2x2 ta c6: V, : ' v,.V, vr*vr' -: Suy Yt c> 5v12 V^: ' | -vr Yz* vr vl: v2 V3 g V.: 'n 4-u, vr- , 4u, -r, 4-u, (2-v,).(4-v,) c -l2vr* 4:0 Tim duoc / vr: i^ ) (do < vr < 1) Do d6 c6 b6ng k€t qui sau ddy vdi mgi gi6 tri cfia Q: 146 T rb."rLcrHerog-a i€n thuflt Tro choi Gi6 tri trd choi Gr ? I Gz liu Khi 9.48 roi ld Q e5 choi thi iv3 cur; // Nhdp ti'bdn phim so qudn ngtdi choi ldy OK: (.1ayIcur]0) && (cur