Đề Đáp án thi HSG tỉnh máy tính cầm tay 10-11

l $4[s#NG ffiA:N sh'$Affi $$Afl TsAN,.TR*w.'trwry,ery,'cgne r,[mF,$ $*$Ai\q R{}"],fi M*N TSAru Tfr.f*$ ,:laii -l ; a q*,Sl ['inilr gixn o-ung gidr trt hieu th#* [-f - +) [*.'01]' if ., r,11' ' t3 4) [9. s3) [ t6 5iL S&li S. Tim nghiem gAn dring cfra cdc ph*ong trinh sau f F / /:i \ r:: \1*s\ ?-r"./3 1-VGI 3*'17 I 15-^/11 ii, td;i)) X -*-:* p'l X* F- | = _-=p- ,4- b) (2.S) Tirn gid tri:cfi a d* 15 b) (2.5) 5 J+ : +A z a + : ; .",Q. It- rJ ffi&l g. GiAi cdc hp phwcyng trinh sau a) (2'5){^t,o* +2011v ='16085 l.'' 2 5686 F :- 1342 . , d. A cnung lffn nnat va o9r $0 (e .a)ftr 12) l_+4:l: l * | \13 e) \12 15) (A * 2,52614) (a*9) v "*J/ ^- /2 x./ ,-/2 e4 / V * *\) l/ n /'441\ / | lw 44e / \t * | lr)/ J * /44n / | t\J . *639/ L' /FF / \J\J l:tgx-4v+z-3=0 t" {49x+7v+z*5=0 l' I x'*,gy*z-6''*0 h) {3"s) -{,,*#*-}=o (x * 1,44918 ) I (x * 0,'f TSSZ ; x * 7.,42666 ) chung nhd nhat efra hal so ': : ,,, (U$C[-N: 1?34$) {B$fifl,Jt{: 4826895} ffisfi 4" ai (?.5) Tim w$c a * 20Q86$, t) = 283935 $s b) {A"Si Tim sd du er}a phep ehia rJa i$E$$ $" ,Jn* ttx] im t{* thirc b+* bm' mi6t ftt}i '* '!tJ;f{1} - I ?;f i?} = 4;f {3} * I ' T"trlrr fi ieii ,.\)5r , :ildi. ,l*t-''ftx'* -'i- ilo,t ,* c'x i:d, \flt f(r]) '*{$"f{{}'=t?;f{2}'*'4;f{si*1 n6n is 1 ur .=lfi i* - 5 I "p l. 25 j*"rn{"#+# = tr" *{b=-_:t_ l8a+4b+?c+d=4 I * letr+eb+3c+d=1 tt,=11 'l.d = 10 (3"0) vgy f(x) = *"' ffieE S. Gqi (dr) ld td): y * 2x, (dz) lA t:*a (dr) va (dz). -Sy?',+:l?x'+10 * f({'0)= 1380 (2.0) dr-rung th6ng d0 giao d'i&m dwdng thsng qua di6m ^|'i'ij vd sons $ons vCI'r ? * ,.r ' " " a hai di6m B(2; 1)' C(*3; 3)' Tim tqa duang thang qu; Gi*i, F Phu'ung trinh dwong thing (dr): y = 'o * * Fhwcir-g trinh duong th&ng'(dz): y = -i- -; (2.0) (?.CI) (1"CI) (2) ({ disrn) {{ erl#m} B&n 7" , a r ;1 *n nui r,an^ t\t - T?6I'6I? l4 (S diem) m) Tim t6t CIA c6e s6 tW nhi6n co dqpg N.= m45'' ff chia h6t cho 2 cidi. M N chia h6t cho z{ n&n,rtr ti[,rnet'*no'q.*aB, Tir dau higu chia h*t cho 3 vd I ta suy ra (x + v) chia n$-t,c!* ? Jj';i;ryu*,l ti1l o6 tt'fr' ta dwqc cac k6t qu& sau' .t?3458c0, 'izs45*p0, 12345168,*#6fbtoe 12il;26;'' Dg4ss64 (luloi k6t qu& cr'*mg dwqc CI.S ili6im) : u) h4sy chuy6n $a,irg dan ptr&n s6 cfra s0 th$p ph6n vs han tu&n hodrn 3'15(321) {iiiit, $At 3,15(321) = a, ta c6: x$*s{}CIa = 3153?1,1e:li (1) va'1rCICIa = 31'5,(321) . '', I , *sxAn 52501 l.ay {"tr ) trw {2} v& theo v6: . 9000e = 315006 f,) n = i 1;i,';,!,i1;!., , ;i,,i i'::,; B&fr s. eho hi*h thang e&n e6 rrai busng eh6e Yu?ng'qo: ll?u;,hiui day eo d0 ciihi tir Ts,ee.cm v* 24,i5*;;. tlon dq dai *anfr b&n v& dien'tich hinh thang fg; # ra siao cism efra {!3^1BD Hai tam giilc EAB va ECD "ru-1#3?a s# ctlrng P'yt*g* tf *fu'mC t trC * 20,3499? ) ,. Lligr.r1i*hx trinh ffi;H;g t5|d dign rich eua 4 iam gi6c EAB, HCm, nAa' Hffi* {$ * 3S3,8?4t}? } (S di6rn} -i*;g.i=.:iii.:haefrriryns"' tt"r'$mgl {S1}:5.**o -3, {r"tr*},:,y,-**or2, idui::;*,,-' :,;' 3 it ,j ai "r€ ea* Si.verng th,*ng {rj:r}, ida},-{e$3i tr*1i *trtl$ mo.tr,h€ tr"qle tqa Sq i;i ilr:i A, R, {-l $Sn tr*U-[ l* Eia* di6rn clta {eh) vai {ci1i, (tili vcrl id,.';, iri;i r'ri'l ",+,i Iirr; ii:* #q ca* ,$i$rn A, B, el va tdnih cli+n tir:h tar,"r giac i\ffiC *j ;i*1, g*i'r ddlng e*c goe tgo b&i uie durevng'thfirrg (dr), (e*ri, (e$3) vo'i *hi&r.r r"fu,^r'*t"lg iruc ha*lnh cia[. e) {$.S dl$nr} V6,dirng mbi dwtlng tlr&ng, d't*o'c 0'5 di6m - b).(fi dr$mlA{3; ,4), B(-3; 2},'C{0; -?), $ * tF (dv,it)' Mdl k6t qul*r d{|ng di&snr c) {{.$ diem) (d,, Cx") = 63026'6", (dz, Ox*1 " 1?S0$2'12", (d3, Cx"') * fbq$$ ket qui df nrg dwqe 0.5 dism ffi&fr 1S. Tim ti s6 cia A vA B, bi6t rdng d'errya S"S 190?6',6" " 25.(1980 + 25) 1 1 980,(25 + 1980) khai tri6n tr6n chs m6i s0 Tu'ung ii.r, ta co -;5- = *f j'- * Ll, vm e ni(25+m) 25\m 25+m/ rn6i s6 h.tnS tnr:ng B, ta dwqc "- l-f1- 1*1 1 * **i 1_-l "'- 25[1 zfi' 2 27 '" ' ' 1980 2005 ) tlit "t 1 ) (l 1 1 )l r: *l | -+ t- +-*.* l -l -+-_-F ,-l-' :- I I 25! [i ' 2 "' ls8oj \2s 27 zoos/J =afr'l*f * .ll -( J + i-+ +-1 )l zsl['i 'a' "' 25) \.tsat 1s82 2oo5J- 25 i\ -*= &{ ({,S di6m) N'. Ap drung khai triAn tren cho {2"5 ffil&n'm3 I'f $! r{idirLi I \,.**,* ,'1 vely 'i98* 396 . 283935 $s b) {A"Si Tim sd du er}a phep ehia rJa i$E$$ $" ,Jn* ttx] im t{* thirc b+* bm' mi6t ftt}i '* '!tJ;f{1} - I ?;f i?} = 4;f {3} * I '. B(2; 1)' C(*3; 3)' Tim tqa duang thang qu; Gi*i, F Phu'ung trinh dwong thing (dr): y = 'o * * Fhwcir-g trinh duong th&ng'(dz): y = -i- -; (2.0) (?.CI) (1"CI) (2)