đề thi máy tính bỏ túi lớp 9đề thi máy tính bỏ túi lớp 9đề thi máy tính bỏ túi lớp 9đề thi máy tính bỏ túi lớp 9đề thi máy tính bỏ túi lớp 9đề thi máy tính bỏ túi lớp 9đề thi máy tính bỏ túi lớp 9đề thi máy tính bỏ túi lớp 9đề thi máy tính bỏ túi lớp 9v
Bg GIAo DUC vA o,4.o r+g cugc rnr cr*& roANrnnx mAy rlrvn cAu ray Nau zora M6n ToSn Lop CAp THCS DE TrU CrfiruIl TITIIC Thoi gian thi: 90 phtttghbng ru *rAf gian giao Ngdy thi ti\tzOru : DIEM CUA TOAN BAI THI C6c gi6m khdo SO PHACH (Do Chn tich HOi d6ng thi khu wc ghi) (Hg, t€n vd chf k0 Bing sd dA) B5.ng chfr *-"t r*;=*' -srr*et,'ii'E F r"r t 1',T r t i f'; i ibl i*r it* i***** ur:'* i-q: * _f r ,i.J'u,r n ! ii i: - m gam tuang, bdi, n di bdt 10 dient Thi sinh ldnt bdi nqc riep vdo bdn c.!( de tlTt nay,' - t\/€u de bai kitSttg co y?u cdu ri€ng tlti k€t qzid ldni *-dn din ch* Bli si thip phdn 1" (10 di6ni) Cdu (a di6m) Tinh giatricria bi6u thirc sau: n _ l, z, 3, 1.3 3.5 5.7 ""' too4z 1005, cf,u (6 dicm) cho dathirc p(x) :6x4 -7x3 -12x2* a) xilc dlnh a, b {daoi b) vdi a tim ducvc hdy dqtng sd nguy€n hofic tim ax * vd e(x) :x, +bx-Z phdnsa; ac da thfic p(x) chia hiit tat chc6c nghiQm cria da thric p(x) Trinh bAy r6m 'tgt cech Ciu 1006, 2007.2009' 200g.n11- 201L20r3 giAi vdo phAn dudi d6y , KCt qufr : Cfiu 2, Bei (10 dicm) e4u i 1s dicni) Trdn,hai i4nh'BC, AC cria tam giacddu ABC, lAy tucrng img hai diQ M,vg N sao'cho BM :'C\, Tim vi tri cfi-alr11 dC dO ddi dopn thang IvIIrl co giit tri nhd nnAL Tfnh gi:i tri nh6 nh6t cria MN, bi6t dA ddi canh cria tam gi6c d6u ABC ld Jno:zotq cm cau (5 diem) MOt l&oi 96 rrintr lap phuong canh x (cm) o chfnh gina m6i m6t cria h]nh l0p phucnrg, nguoi ta dpc mQt I5 hrn! vrr6ng thdng sang m{t diii dign, te* cria 16 hinh vudng ld t6m cria mflt hinh lflp phucrng, c6c canh 16 hinh vu6ng song song v6:i c4qh cfia hinh lflp phuqng (nhu hinh yQ Timthe tfch V vA t6ng diQn tich s c6c mgt (ngodi vd trong) theo x vd y cria kaoi g5 sau duc xong Ap dung v6i x -56,7'' cm;r y =1 1,4cm Trinh bdy t6m Cf;u X" KCt qui : K6t ouf,: tlt cdchgiAi vdo phAn du6i d6y | L v6'in : 1,2,3, Bei (10 di€m) Cho day s6t xr= xr= 1;r: = 2,x,*= x,*z-1x,*t***,, 5l Vi0t quy trinh bdm rn6y tinh x,., r6i sft dpng quy trinh d6 tinh tom t|t circh x15,x2s7x25 dn dusi dd tsii (10 diem) Cho tam gi6c ABC vudng tqi.A.6 AF ld dudng cao vi BH: : 4cm, CH 9cm Gqi D vd F l6n luqt la hinh chi6u cira di6m H tr0n AB vd AC Gqi M vA N iAn iuqt ld trung di6m cria BH vd HC Gqi O ld tdm vd R ld bdn kinh cira duong trdn nQi ti0p tam gi6c ABC HIy tinh : Cdu (2 diem) E0 dei DE? Cf,u (2 digm) Cliu vi tam gi6s 4FC? Cdu (Z AiCm; SO (ldm trdn den phrit) g6c.ABC vd goc ACB? CSu (2 diem) B6n kinh R? Trinh bdy t6m tht cdchgidi vdo phan auOi Oay Bili (10 diem) Anh A mua nhd tri gi6300000000 cl6ng (ba trdm triQu d6ng) theo phucrng thrlc trh g6p Cflu (5 die@ NOu cu6i m6i th6ng bdt d6u tu thrlng thf nhat anh A trA 5.500.000 chiu 15i xudt sO ti6n chua trd ld 0,5%olth6ng thi bao 16u anh Atrh tr6t s5 ti6n trOn Ciu2 (5 di6m) Ni5u anh A mudn trih€tng vdng ndm vdphhitrh ldi v6i mitc |ohlndm thi m6i th6ng anh A phhi trdbao nhi6u ti6n (ldm trdn dtin nghin d6ng) Trinh bdy t6m tht cilch gi6i vdo phAn du6i c16y K6t quf,: Ciru KGt qui: Bq GrAO CUQC TI{I GIAI TOANTRf,N MAY TTNH CAM TAY NAM 2014 LW CAp TIICS M6n DrJC VA DAO TAO Toin I{UdNG DAN GI,dI IIOAC NAP SO Bhi L (10 ditlm) CAu (a diem) Tinh gi5 tri cria bi6u thric sau: ioo4'z 1005'z 10062 - + 3' + +-* -:-: * -: -: ,l- 12' 2' 2007.2009 2A09.2011 2all-20r3 1.3 3.5 5"1 -+ c6u (6 dicm) cho da thirc P(x) : 6* a) x1cdinh *7f - 12* * ax * ve Q(x) : x' + bx-2' a, b (daoi dqng s6 nguyan hofic phdn"a; ac da thirc P(x) chia h6t cho Q(x) b) Vdi a tim dugc Ciu hdy tim tdt chc6c nghiQm cira da thric P(x) 7a042 10052 10062 !2 22 32 ' 2009.2011 2011.2013 "" ' 2\A7.2AA9 T-T- 1.3 ' 3.5 ' 5.7 -T- T t( t' f 22 z' 32 32 -i 10052 10052T 10062 1006'? ) =-l r- 3 s s zooe 2011 zort 2013) 2[1 r[t', ( z' -1'), f 3' -2'\,, (t00s'-10042) (tooo'-toos']-Uq(l r =- '^ I =ilr.[ , J.[ , J* rl *[ 2ooe J.[ zorr f ,* ) l, l-sooszt =z5r.6z4s3is =ll2l-, n(zott-z t *r)_tooe' ) 20131 2or3 l\-l l- rdng cric sdi l K6t qun t A 251,6249 Cf,u a)Tac6P(x):Q(x).(6x2 ' (7 +6b)x+ 7b+6b21+ (a- 6b3 14b+2 -7bz -lzb-14)x + ocr1xl i Q(x) MG =) MN>KH CSctamgi6c AHN, BKM d€u ld tam gi6c vu6ng c6 mQt g6c nhgn bing 60o CduL.Ke MKLAB ( =+ AH=N 22;BK=BM '2 : AB-AN + NC = AB- AC 22- ra: * ,42,,, (,aDl) \ /= S2 o Suy * 2u AB MN Lilducrng trung binh cria AABC IvrN:AB -JitrC82o14 =2237.856899 22 K6t qu6: MN: 2237,8569 cm C6u th6 ticfr hinh c6n tinh bdng the tich ttr6i t6p phuong ban dAu ffi di th0 tich kh6i hinh hQp chft fa 1x-yi:Z; rOi tru di thd tich ttr6i t6p phucrng canh nhat d6y ld hinh w6ng ait y cm, chidu "uo y cm v: x3 - o.[]J)r'-r' \2 )" -f} Di0n tich m4t ngodi lit:6(x2 Diqn tich c6c m6t ldL: 6.[(x-y) :2.y.4] Vay diqn tich c6c mflt 16 :,S = 6(x' - y')*t v=153 14i,155 -[?r) cm3 S= 24 706,62 cmz Bni (10 diem) Cho ddy s6: ,, = x2=l;xr=Z)x,*z=**r-1**r*f,.*,, vdi n Vi€t quy trinh b6m m6y tinh xn r6i sir dpng quy trinh d6 tinh Thuc hi€n tr€n m6v fx-570MS: r@@E @E H 3@ lffi@E EE i@ E@@E : 1,2,3,"' x151x2s,xs5 2@@E (duqc xa) @ " E ;@EE ;@E@ @E (dusc x5) @E ?@EE ;E@E ffi mE (duqc x6) H ffi@E(duqcxz) @@E(ctuscxr) ffi"fiffiip *u I 109 =ffi, - ddu bing, trdn mdn hinh m6y tinh xu6t hiQn: x?o = 0.1978507786 , xzs = 0'1060976856 ' K5t quf,: xr: =0,5705 , x?o=0,1979, xzs=0,1061' '\ BAi (10 diCm) Cho tam gi6c ABC ru6ng tpi A c6 AlI ld ducrng cao vd BH 4cm, CH: 9cm Gqi D va p lAn luqt ld hinh chi0u cria di0m H trOn AB vi AC Gqi M vd N lAn luqt ld trung di6m cria BH vd HC Gqi O ld t6m vd R ld b6n kinh ctra dudng trdn nQi ti6p mm gi6c ABC HAy tinh : CAu (2 di0m) D9 ddi DE? Ciu2 (2 di€m) Chu vi tam giSc 4PC? Ciu (2 di0m) SO m *56otg' 3) -r ' BC 13 a) Gqi I ld giao di6m cria AH vd DE iu i6fr-=1frD vit ffiH =frH-D MAt l&6c friD+1fii=e00 = ffiH *i6E =eoo (1) Tuong Ts ta c6 fEE +frEE =eOo(2) Tt (1) (2) suy MD/NE (vi MD vdNE cirng vu6ng g6c v6i DE) suy tu gi6c EDMN 1A hinh thang ur6ng "i = )pDtvfN- (MD*!E)pL 5) Ta c6 s*r" Z : s aonu =19,5 (2+!,5)6 , K6t qu6: L9,5 cnf * s oon"* sorr t^fiT o nc.a lea.dc =|er.n*L,qc.n*! lq o )zJG:Ji5 = (Jtl + 3:' +f)n + n = L - 78 zJtz +3fi eR=2,513878i89cm + 13 K6t qun :2,5139 cm Bei (10 di6m) Anh A mua nhd tri gi5 300000000d (Ba trdm triQu d6ng) theo phuong thirc tr6 g6p ba* f 1S diem) Neu rrOi m6i thang Uat OAu dr thang thri nhat anh A tra 5500000d vd chiu ldi xo6t sO tiAn chua tr6 ld O,So/olthang thi sau bao lAu anh A tra h€t s6 ti0n tr0n' Cdu 2.(5 diem) Nt5u anh A mu5n tr6 h6t ng vdng ndm vd phAi tra.lei v6i mric |o/olndmthi mdi thang anh A ph6i t6 bao nhiOu tidn (dm trdn d6n nghin d6ng) uau { Cqira ti6n anh A nq ban dAu le M, 15i xu6t phii tr6 lit ro/olth6ng, hdng th6ng ph6i tri ld x - CuOi th6ng thir nh6t anh A ng ld: u +! u = M(r* *) = ptt, 100 s6 tiAn 100' Anh A ddtrbx dtrng, vay sO tiOn cdn ng ld: Mk-x - CuOi th6ng thir hai anh A ng ld: (Mk-x)k* x= Mkz-x(k+ I) = Mk' -.+:] k-1 +A - CuOi thdngthir anh A cdn ng lit: (Mk'?-*t:))t -x=Mk'-.# - CuOi th6ng thir n anh A ng ld: I 00x rr-l\k - x : Mkn - o: -l = k, (M+M - = \-Mk,'r = (t * *)' (u -100* )* "n - - *k"-' =il r 100' r k-l' k-l k-l k-l ' ( r - 100r - Sau n th6ng anh A trA xong ng, nghia ld Mn: hay: (1+-)" ' 100' =+lj\x-Mr Duns Mrcr voi M: 3000000ttlir;lf;l;fl?:100, l\!L tlu4' vr ta dusc n :64 Lrrqrr6' C6u Goi sO ti€n anh A ng ban ddu la M, ldi xu6t anh A ph6i tr6 lir roZlndm, s6 tidn hAng inarg anh A phiitrilld m, Mnld sO tiAn cdn no sau n ndm Ta c6: Mt:M(t+r%)-t2rn tuir: I i,t(l + r%o) - I mJ ( +r%o) - I m: M (] + r%o)2 - I m ( t +r%+ I ) (l+ rYo\z -l : =t : M( I +r%r)2 -1 2y ro/o - -l ,t\2-r 7n : ":- I 2)*(r+r%)z M3: I M( + r%o)' -,: n + ryo), M(]+r%o)"-12m\' ;; rYo Ap dung v6i M:300.000.000; 0:300000000 1,065- J Q + r%o) - I M (] *rrrs-rr*(l+ _l m: -' :I : '*''-' (1,06' : r:6; n: vi M5:0 ta dugc: n*r'0!0,06 ): SuY r ra: m 06'.30rye0009.04q: - s9349 0.01 r -l)'12 K6t quf,: 5935000 ddng rYo)t -l tsg GIAO DUC vA DAo r'4o cuQC THI GrAx roAN TREN MAy nAna zor+ h,{6n To6n LW riNH caRr uav Cap THCS Bap Aiv vA rnaruG DrEM Eai 1" (10 diem) Ciu KCIt qu6 Bi6m [,&'{ si6i : A = 251,6249 (^ C,du2.Kt5t qu6: di6m l^ _tE u)lu=r ' l.b:-1'lr_ ']tu - I l.6 Ul K[...]... (1,06' 1 : r:6; n: 5 vi M5:0 ta dugc: n*r'0!0,06 ): SuY r ra: m 06'.30rye00 09. 04q: - s93 49 1 0.01 r -l)'12 K6t quf,: 593 5000 ddng rYo)t -l tsg GIAO DUC vA DAo r'4o cuQC THI GrAx roAN TREN MAy nAna zor+ h,{6n To6n LW 9 riNH caRr uav Cap THCS Bap Aiv vA rnaruG DrEM Eai 1" (10 diem) Ciu 1 KCIt qu6 Bi6m [,&'{ si6i : A = 251,62 49 (^ C,du2.Kt5t qu6: 4 di6m l^ _tE 6 u)lu=r ' l.b:-1'lr_ ']tu - I l.6 Ul K