DAn ti ti 4,481it.dkrc h5n hqp X vdo binh chua dung dich nucvcBrz du, sau khi phdn ring xdy ra hodn todn th6y ktrOi tuqng binh tang th€m 7,0 gam.. Tim cdng thric cAutaoco thd co criatrmg[r]
Trang 1so GrAo PUc vA DAOTAo
BINH EJNH
Dd chfnh thric
K\r' THI CHgt\; ;re^CrslNq CrOr CAp TiNn LOp |THCS
K H O A N G A Y I S - 3 _ 2 0 1 7 M6n thi: TIN HOC
$li S11"' 15,0 phrir_ (kh6ng ke thoi gian phat d?)) Nga-v thi: lB/3/2017
rh
T6
.h€ hq hring ntiu chung c6 t6ne ciic Lrdc s6
6 90 vd 147 ld.hai so co quun t 9 ho hdng 2.3, 51r5ng bang I 0), sd I4j co cac uoc
T\ui sd t.u nhidn a vd b (1< a 6 1010).
N€u c6 quan h€ thi kdm th6ng b6o u*d jf.*ifi;Hif:rlXlllf l;] *u'*
Vi du L'
l d J : a p ha: s : 90 j-17
H a i s o 9 0 , L 4 7 c o q u a n
T o n g cac uoc nguyen to
Vf du 2:
N h a p h a i s o can kiem tra:
H a i s o 1 0 2 4 , 1 2 k h o n g c o
l a ^ } a - - ^
r r v t r q l t y /
1 0
1 A a A r ^
J _ V 4 + r Z
quan he ho hang
L ^
t r e
1
-f a
Bii2: 56 La MA (j,0 rJi1i:mt.
* Y:ltlt-f:e tln! nhag vao s6 rr,r nhi6n N (0 < N < 4000) ru ban phfm vi<it ra
man hinh so N duoi dan_e s6 La Md.
VI du: Nhap N:25 rhi in ra mdn hinh ld XXV
NhAp N: 98 thi in ra mdn hinh le XCVil t l\ihap N:2017 thi in ra mdn hinh Id MMXVII
L n o blet:
Bni T6n bii
^ .-, ,
-Lap So ho hans (5 0 ,Jiin"t
Dfr IiQu ra
I
Ddy so rdng
r:,7AiU
-r am g-rac lc-rn nhAt 6,0 diAm)
\41t{4
Mdn hinh
SOLAMA.PAS STR.PAS
Ban phim
3
T A M G I A C P A S I A M G I A C I N P T A M C I A C O U T
Trang 2so crAo pVc t A DAo rAo
BiNH DINII
Ed chfnh rhri,c
K H O A N G A Y 1 8 _ 3 - 2 0 1 7
N46n tiri: NGtf VAN Thoi gian: 150 phrit (i<h6ng ke thoi gian phiit d61 Nigdl'thi: 78/3/2077
Cdu 1 (8,0 di€tn).
Doc c6u chuy.n sau vdr th\rc hidn circ yeucdu b6n du6i:
A sg bi6t crn
ryi* dinh di boi Ngudi bi mi€t thi tilc ndy bay
i bqn kia dd tim cdch ctru anh Khi dd ten bd, toi,, im nay ngtrdi bqn t6t nhtit cila t6i dd cru sdng
Ngtdi kia hdi; "Tai sao khi tdi xuc pham anh, anh vi€t t€n cdt, cdn bay gid anh lqi
khdc l€n dd"?
Anh ta trd
!di,: ,"N!*.8 diiu vi€t lan cdt sd mau ch6ng x6a nhda theo thdi gian, nhr'rng kh6ng ai co th€ xoa daqc nhirng diiu tiit dgp dd daqJshi tac tr€n dd, trong ldng
ngadi".
vQy mdi chilng ta hdy hoc cdch viil nhrrng ndi dau buin, thit hqn lan cdt vd khiic ghi
nhitng dn nghTa lLn dd"
(Hgt gi6ng fim hin, tdp 4, NXB Tdng hqp TP.HCM,2004)
a Hdy n6u hai bdi hgc rut ra ru c6u chuydn do.
b' vitlt mQt bdi van nghiJuan (\hoing- 400 chfi) trinh bay suy nghi cria em vd cdu:
"Hdy hpc cdch vi€t nhfing n6i dau buin, thit han lan cdt vd khhc gni ilrrrng 6n nghTa l€n
dd".
Ciu2 (12,0 die@.
Trong bai "Ti€ng noi cria vdn nghO" - sach Ngfr vdn g, tap hai - Nguy$n Einh Thi
tuong ndu minh, y€n lgng Vd cdi y\n hng phdn tich bdi tho "Anh tdng,,cria Nguy6n
Trang 3so crAo pUC vA oAo rao
BINH DINH
DO chinh thri.c
Ky rHr cnoN rrocsrNH Gror cAp riFur r_o.i q rHCS
xnoA xcAy rs _s _ zorz
Mdn thi: SINH HQC Thoi gian: 150 phrit (kh6ng li€ thoi gian phdr de.t Ngay thi: 18/312017
Cdu 1 (3,0 di€d
-a' Khi do huydt dp cho m6t b€nh nhdn, c6n b6 y t6 ghi 120/80 mmHg Cho bi6t y nghia c6c con s6 tr6n Chring img vdi
"h,rng pha ndo tr.ong chu ki tim?
b NOL' nirfing nguy0n nhdn chrl y6u ldm thay ddi huy6t 6p trong co th6
Cku2 (2,5 dienl.,
a' Tai sao tdc d0 dAn truy€n xung thAn kinh trong cung phdn xa sinh du&ng ch6m hon trong cung phan xa vdn ddng?
, , |'JtcnmQt con 6ch da mo ae nghidn cuu rE tiry, m6t hoc sinh dd,v6 y dung mffi keo ldm d,r m6t
sO 16 Bang c6ch ndo d6 ph6t hi6n rd ,rdo
"orr, 16 nao iatz' - J !\vv rqrtr uL Ciu 3 (2,5 dienl.'
a' Ph6n tt ADN c6 chric nang gi? Phdn tri ADN tu nhAn d6i theo nhirng nguy6n tfc ndo?
b Su tu nhan d6i cta phdn tu ADN c6 y nghia gi d6i vdi sinh v4t?
c) Neu c6c ddc di0m gi6ng nhau gifra anN thO"'g tin (mARN) vd ARN v6n chuy6n (tARN)
CAu 4 (2,s die@.'
n.r ,YQ,,iq"yt c6 b6 nhiSm sac thO trong t6 bdo sinh duenq lir 44A* X, nguoi ndy bi hQi chrmg gi? Bi6u hi6n ki6u hinh nhu th6 ndo? F NOu co ctc ph6t sinh cua h6i chimg d6.
Ciu 5 (3,0 di€m).'
a' Ndu c\c dlc di6m co bdn cta quAn xd sinh vdt Khi ndo trong quAn xd sinh v6t c6 su cdn bing sinh hqc?
b Trong m6t quAn xd sinh vdt, co mdt qudn thc th6 dang sinh s6ng binh thudng Ncu xuAt hi6n mdt lodi dQ.ne.vaf
.an co mdi trong quAn xd sinh vAt trdn thi sE xdy ra hiQniuqn g gi? Gi;ithich
c ThC ndLo ld su dung ho p ly tdi nguy6n thiOn nhi6n? ViQc trdng cdy hq d-au lu6n phidn vcri c6c vu tr6ng iria trong ndm c6 ld bi6n pnap r" Jlr"g hcr-p ly ngu6n tai nguye; i6i;;i1o'gz Tai sao?
Cfiu 6 (3,0d1em)
M6t te bdo sinh duc so khai cua gd c6 bQ nhi6m sic th€ 2n : 78 NST, m6i nhi6m sic th6 dcrn ll:tg.lhp cin Xff khec r.rh1g, khi gigm phdn khdng co trao doi doan te bao ndy nguyen ph6n 5 dcrr li€n tiOp d vr)ng sinh san r6i l6n l6n v6 kich thu6c, sau d6 trdi qua ving chin giam phin AC tao ru c6c tinh trung binh thudrng Tinh theo ly thuy6t:
,., a I vrlnp sinh sin s6 nhi6m sacin6, dcrn moi tucrng ducrng do m6i trucrng n6i bdo cung cep cho l6n nguy6n phdn thri 5 ld bao nhiOu?
b' Xirc dinh s6 nhiSm sac th€ mdi tuong clucmg do mdi truong n6i bdo cung c6p cho cA hai qu6 trinh nguy€n phdn vd giAm phAn trdn
c SO iucrng tinh trung ducrc tao ra lir bao nhi6u?
CiuT (3,5 di€m)
d mOl lodi thuc vdt, cho giao philnhai cdy thuAn chung thAn cao, hoa vdng voi th6n lDn, hoa do thu duoc th0 he Fr 100% thAn cao, hta do Cho F1 tu thu phAi thu duoc o pz e6,i + f"ai 6a" fri'f.ro ti
lC 56,25% thtn cao, hoa do: 78,750 thdn cao, hoa vdng: 18,7syo thdn lun, hoa eO: 6,25%0 thdn lun hoa vdng Bi0t m6i cap gen qui dinh 1 tinh trang
a Bi€n iuAn vd lAp so d6 lai tu P d6n F2
b' Trong s6 cdy thAn cao, hoa do d F2 thi ti l€ cdy thdn cao, hoa do khdng thudn chirng ld bao nhi6u?
c Trinh bay n6i dung qui 1u6t phdn li dQc 16p cua Menden.
Trang 4KY THI CIION HOCSINII GTOT CAP TINH LOP 9 THCS
KIIOA NGAY 18 _3 _2(177 M6n thi: DIA Li
Thoi gian: 150 phrit (kliong ke ftcri gian phat c1d) Ngar,tlii: 181312077
CAu 1 (4,0 di€nt).
Giai thfch tai sao thoi gian mila xuAn va mia h4 o'B6c ban cAu ddi l-ron mDa xu6n rrd mua o Narn bdn cdu?
b Su' giArn nhiet do khong ldti theo vi d6 dia li vd theo dO cao tren Trai D6t co su khac nhau nhu th6 nao? Tai sao su chdnh 16ch nhi€t dd gita vung u gar-u; if.f, ]u" irr"g ,"r, fru nh6 hon mua d6ns?
Cfiu 2 (4,0 di€tn)
Dua vdo At-lat Dia li Vi0t Nam (Nhd xutit bdn Gido ctac Vi€t Nam) va circ ki6n thric dd hoc, hdy:
GiAi thich tai sao rndc dir o gAn Xich dao,, nhung nhi6t dd trung binh v6 mua ha cta Narn
-f 9 thap hon ndn nhi6t d6 vdo mua ha o Bac Trung 86, Ddng bing Bac B6 vd Nam Tay
B a c ?
X Giai thich t4i sao o'mi6n Bic vd D6ng BEtc Bhc 86, trong mua d6ng vfln co nhtng ngdy nhi6t d6 kh6 cao, n6ng nhu mua ha?
Cdu 3 (4,0 diem).
Dua vdo At-lat Dia li Vi6t Nam (Nhd xuiit ban Gido dtlc Vi€t Nam) vd citc ki6n thuc d6 hoc, hdy:
24' Giai thich tai sao niia kh6 cria khu vuc Bac B0 bcrt sdu sfc hon so voi khu vuc Narn 86
vd Tdy Nguy0n?
b Cho bi6t vdo rnua d6ng, khi h4u vung ddi nui thAp khu vuc Tdy B6c vd D6ng Bic o nudc tal<hdc nhau nhu th6 ndo? Tai sao?
Cdu 4 G,0 died.
a Dua vdo At-lifiEia li Vi6t Narn (l{hd xuat ban Gido duc ViQt l{am) vir citcki6n thric dd lg:, ttty gi6i thich tai sao cdc d6 thi o vung Duy6n h6i Nam Trung 86 thuong tAp trung ven bi0n.
b Dua vd:o bdng s6.li6u du6i d6y vd cac ki6n thuc ddhoc, hdy nhdn xet vit gihithich ,re co
: , ; , ,
cau, su chuy€n dich co cAu dAn so phdn theo thdnh thi vd n6ng th6n o nu6c ta.
roxc so bAN vA so nAx rnaNH rHI cua NuO'Crrcur o<l4N tssl - z0rz
Ngu6n: Ni€n gtcim th6ng ka vi€t Nant 2012, Arhdxttir bdn ThiSng ke, 201j, trang 63
CAu 5 (4,0 di€nil.
Dua vdo At-l6t Dia li ViQt Nam (Nha xtdt bdn Gido duc Viet Nant) vd, citc ki6n rhuc dd
h o c , h i y
a Trinh bdy sp phan hoa ldnh th6 cong nghiOp ning lucrng cria nuoc ta Phdn tich ngu;,dn nhdn cria sp phdn hoa d6.
b Cho bi€t tai sao c6c ho4t dQng dich vu o nuoc ta phAn bd lchong d6u?
c Cho bftt tai sao viOc x6y dung cdc nhd mdy th0y di6n o' \,ung Tay Nguy€n lai giAm duoc nhi€u chi phi?
SO GIAO D[rg 124 DAO TAO
BINH DINH
Dd chfnh thric
t)on v Nshin nnrdi
Tdng s6 dfin 6 5 0 1 6 1 7 l g q s s 71 630,9 82 392,1 8 6 9 3 2 , 5 88 772,9
Sd d6n thinh thi l 2 8 8 0 , 3 14 938,1 1 8 7 2 5 , 4 - r ) ) ) T n2 J r ) v ? 6 5 1 5 - v J L ) q 28 356,4
Trang 5so crAo pr.rc vA EAo rAo
BIM{ DI]\H
Tiroi gian: 150 phrit (kir6ng k6 thci eian pirdt d6;
Ngdl'thi: 18/312077
C6u 1 (2,0 di€m)
Dung dich X c6 chria chdt tan duy nhAt l.d mQt mu6i Y cria kim loai natri Cho dung dich BaCl2 9,': ol vdo 6ng nghi€m dr-mg dung aicrr x +i;;i kd;.;;; ffi;'e; Nh6 ti€p tir tu dung dich HCI vdo 6ng nghiQm I trdn thiy co "r.iri r""ihr;ih;'lu xu" dinh c6ng thric cira mu6i y vd vi6t cric phucmg trinh h6a hoc xdy ra
Cdu 2 (2,0 died
Ti6n hanh 3 rhi nghiem:
- Thi nghiOm 1: cho N_a vd b6t Ar2o3 (ri lQ moi 1: 1) vdo nu6c du.
- Thi nghiQm 2: Cho h5n hqp chria Fe3Oa vd Cu (ti 16 mol l: 1) vdo dung dich HCI du.
- Thi nghidm 3: cho b6t zn vdo dung dich Fecl3 (ti lQ mol zn : Fec\ : l: 2)
Sau khi phdn rmg xhy rahodn todn, c6 bao nhi6u thi nghidm thu duqc chdt rin? Gi6i thich
Cdu 3 (2,0 di€nr)
, \"ng 16ns dar.91t llong khong khi cho ddn khi phdn img xiry rahodn todn, sau d6 cho roan b6 san phdm vdo dung dich HzSoa lodng
f" ,!-u.d"gc dung dich X Cho dung dich X t6c dung ht
"d,i dung dich Ba(OH)2 du trong khOng khi Am Viet t6t ch cacphuong trinh h6air oc xay ra
Ciu 4 (2,0 die@
Cho m gam kim loai M vdo dung dich H2So a lodng du thu duoc 6,721it khi H2 (dktc) vd dung dich chira (6m + 1,8) gam mu6i Tim kim loai M
CAu 5 (2,0 died
Khu hodn todn 4,64 gam m6t oxit kim loai bing CO du o nhigt d6 cao, thu duoc kim loai M DAn toan b0 khi sinh ra vdo binh dpg dung dich Ca(OH)2, thu duoc 4 gamk6ttuavd dung dich X, dun 3gne.du1e di:l I l4i thu thdm duoc 2 gam kct tua nfia Mdt ldtac,l6y lugng kim lo4i ,irrh'ru hod tan h6t vdo dung dich HCI du, thu duoc 1,344litkhf H2 (dktc) Tim c6ng thric cir-a oxit kim loai
FeQ.,lO3)2 vd AlzO: vdo dung dich HzSOa lodns du
r NaOH viro dung dich y thu duoc t9,26 gai ket
Chon cdc chAt khric nhau ,4.1, A2, , A.5 thich hgp dC hodn thdnh c6c phuong trinh h6a hoc sau (glri rd di€u ki6n xhy raph6n img, n€u c6):
CH3COONa (t) > A, -l?I-+ Az il>a, -f!L-+ C2HsCl (5) > 44 -f9-+ A, (t) > pE
Ciu 8 12,0 diemt
- ,TT chAt,h-iru co X mach ho duoc cdu tao tu hai nguy6n tO C va H, trong d6 C chi6m gg,235(yo
vd l'hdi lucrng' Mdt kh6c, hidro h6a hodn todn X thu duoc hqp chAt Y Clo h6a y (theo ti 1€ mol I : t), thu duoc 4 ddnxuitmonoclo id d6ng phAn cua nhau Tim cai cdngthuc c6u tao ,O t6e-J il; '
C6u 9 (2,0 diem)
H6n hqp X g6m hai hidrocacbon mach ho DAn ti ti 4,481it.(dkrc) h5n hqp X vdo binh chua dung dich nucvc Brz du, sau khi phdn ring xdy ra hodn todn th6y ktrOi tuqng binh tang th€m 7,0 gam Lugn8 khi tho6t ra dem d6t chay hodn todn thu duoc 3,36 lit cb2 lotctc; u{ +,05 gam H2o Tim cdng thric cAu tao co thd co cria trmg hidrocacbon trons X
H6n hqp khi X gdm m6t ankin M vd H2-co ti 16 mol tucrng un12: 3 Nung nolg 0,75 mol hdn hqp X mdt thoi gian vdi xuc ttrc Ni thu duoc h6n hqp khi Y co ti kh6i so voi H2 Aing Z1,Sl5 DAn h6n hqp Y qua dung dich brom du, sau khi phan img xdy ra hodn todn, khdi luq ng brom tham giaphdnung
Id 40 gam Tim cdng thfc phdn tu cta M
Trang 6Ky rHr cHoN Hec,srNH Gror cAp rixs LoT s THCS
xttoA xcay rs _: _ zorz Mon thi: VAT Lf
Thoi gian: 150 phrit (iihong lie tho,i gian phdt d€) Ngdy thi: 18/3/2017
Bdi 1 (1,0 dietn)
M6t chdt di6rn chLrytin d6ng trdn dLrong thing tu'A ddn g,
"f chLry6n d6ng du.o-c 3 gidy rhi lai nghi i gidy Trong 3 giay d6u ti6n chdt di6rn chuy6n d6ng vdi t6c d6 uo 15 m'l s Trong c6c khodng th"cri gian
.?,eiAy ti6p theo chdt diem chuydn d6ng vcri
crja chdt di6m tren qudng duong AB trong cric tru.dng h
Bdiz (4,0 diAm)
Hai 6ng nghidm hinh tru c6 cung ti6t di6n, 6
hr : 40 cm con 5ng nghidm 2 chu.a nu6.J o nhi6t d6
h€t nu'6'c o 6ng nghidm 2 vdo 6ng nghi€m l Khi c6 ,
cao th6m Lh= 0,2 cm so v6i lirc viLa r6t xong Tin
n6ng ch6y cria nu'dc dd A=3,4.r0s J/kg; nhiOt dung ri€ng cta nud'c d6 c, : 2100 J/kgKvd nudc c2:
4200 llkgK; kh5i lu-o ng ri6ng cria nu6'c dii Dr : 900 kg/mt vitnudc D2 : 1000 kg/m3.nl quu ,olouola, nhiet vdj mdi trudns -of"c
BAi3 f5, 0 diiirn)
Mdt b6ng ddn c6 di6n tro Ro : 2 e, hi6u di€n th6 dinh mri'c ns: 4,5
v dugc thip srtng bing ngu6n di€n c6 hi6Lr diQn th6 U : o'v cqi rrid, ,u6t
cta mach di€n ld tj, s6 giira c6ng sudt ti6u thu crja ddn vd c6ng ,uit todn
mach Mdc mach di€n nhu'hinh v6 1, didu chinh bi6n trd R d6 ddn s6ng yr
a HiCu su6t cuc dqi cta mach di6n c6 the dat duoc ld
Khi d6 phAi diOu chinh c6ch mic ddn, biSn tro theo c6ch rhich h 7,
b X6c dinh giri tri diOn tro' todn phAn tOi thi6u crla bi6n
suAt cira mach di6n lch6ng nh6 hon 600/o
Bdi 4 (4,0 dienl
nho dit vu6ng g6c voi truc chinh (A nim tr6n truc
r O, v6t srlng AB quath6u kinh L cho dnh 6o A,8,
5itra d, d' vd f trong rruong hqp thdu kinh L ld th6u 4.2 Mil thAu l<inh hoi tu L, quang tAm O, truc chinh Ox,
tao 6nh thet A;B;crja m6t vAt sdng A1B1 vu6ng g6c v6i Ox (A1 ^._8,
nim trdn Ox) Di chuy6n ,41 trdn Ox vd A1B1 song song v6i
chinh n6, t6i vi tri A2B2 thi thu duoc Anh A.B, nguoc chidu v6i _ O
anh A,B, Trdn hinh vE 2 chi ba diem B,, O vdr B, NOu c6ch
vd vd vE hinh xric dinh vi tri cta truc chinh ox vd c6c tiOu di6m
crha th6u kinh L
Bdi 5 (3,0 die@
Khi don ohong.thi nghiOm cua trudng, m6t nh6m hoc sinh tim thdy m|y citi di6n tro'vd m6t v6n
k€ cfr Khiki0m tra, thdy v6n l<6 v6n hoat d6ng binh thu'ong, nhung chi c6 tn6 ltrin Ar.q kim cfia v6n k6
chi mdy vach md khdng bi6t duo'c gitt tri nng-vOi m6i va "
c6 m6t crii c6 ghi gid trj Ro = 4 ke), con c6c di6n tri
rnQt ngu6n di6n kh6ng doiphu ho.p vdi v6n k6 vd rnr
crtat6t cd cac di6n tro con lai Hoi nh6m hoc sinh nd
so GrAo pUc VA EAo rAo
BlrvIIerJLH E6 chinh thri.c
B Hinh vE I
8,,
a '
Hinh vE 2
Trang 7so crAo pVc vA oAo r4o
BINII DINIT
DO chinh thri'c
Ciu 1 (3,0 diem) I N€u khuynh huorig chinh tri, bi u hi6n chdng Ph6p o Vi6t Nam dAu th6 ki XX
CAu2 (4,0 di6d ,l 3,
Cdu 4 (3,5 di€m) ,
KY THI CI{QN HOCSINII GIOI CAP TiruTT LOP g THCS
x n o A x c A y r s _ s _ z o r z
M o n t h i : L I C H S L / Thcri gian: 150 phrit (kh6ng k6 thoi gian phat d6) Ngdy thi: 7813/2017
vd k6t cuc cria phong trdo y6u nu
\
( { f
Trinh bdy doi tugng, rnuc ti6u, luc luc4g vd y nghia cira cuQc van d6ng d h[
1936-1939 Tt d6, em hdy n6u tinh ch6t crta cuOc ven d6ng ndy : o -
' i,.
Hdy lam s6ng to chu truong vd bi6n phap cua DAng, Chinh phu ta OOi ptrO vOi thuc ddn Ph6p vd quan Tudng sau ngdy 6-3-1946 dantru6c ngiLy tg-tz-lg4l.
C6u 5 (3,0 diem)
-Trinh bity t6m rEt qy6 tlnh ph6t tri6n thEng lgi cua pho.ng trdo gihi ph6ng d6n t6c o cdc nulc A, Phi vd Mi La tinh tt sau Chi6n tranh tne [iOi th; hai d6n"nam
2000.
C6u 6 (3,0 di6m)
Ph6t biOu y kiiln ,re nnan dinh: Hiep h6i cdc quti gia D6ng Nam A laSeaN) ra doi ndm 1967 nhung vi6c m6 rOng thdnh vi6n tir 5 nu6c ban diu 16n 10 nu6c lai diSn
ra ldu dai va dAy tro ngai.
I't
1
Trang 8K Y T H I CHQN HOC SINH GI6I CAP TINH LOP 9 THCS
x u o A N c e y r s _ s _ z o r z M6n thi: TOAN
Thoi gian: 150 phft iliirong lt€ thoi gian phat d6) NgAl,thi' l8l3l20t7
Bili 1 (6,0 di6m).
i c h o b i e r r t h u c ; p = 2 n t + { 9 : + - 6 J ; - + ; - - 2
m + 2 ^ l m - 3 J m - I J m + 3 -a) Rtt gQn P.
b) Tirn gi6,tri tu nhi6n cta m dC p h stl tU nhiCn.
2 chobi€u thuc: p :(a+b)(b+c)(c+a)-ahc voi a, b, c ld cdc s6 nguyon chimg minh ring n6u o+ b + c chia h6t cho 4 thi p chia ht5t cho 4.
Biti2 (5,0 dia@.
a ) C h r i n g m i n h r 6 n g : v o i m o i s 6 t h ' ; c x , y d u 0 n g , t a 1 u 6 n " o , f * 1 > 4
x y x + y b) cho phuong trinh: 2x2 + 3mx -,fz = 0 (ru ld tham s6) c6 hai nghidm x, vd xr.
J"im gi6 tri nho nh6t cua bi6u thric: M = (x, - *,1, *(l* 4 - r +;r; I
\ 4 x 2 )
Bni 3 Q,0 diAm)
Cho x, y, z ld ba s6 ducrng Chung minh ring :
2 ' t- T J-: l r
x - + y z y ' + x z z.+xy \ " y y z z x )
Bii 4 Q,0 di6m)
1' Cho tam giilcgcri agc ndi titip trong ducmg trdn tAm O brin kfnh R M ld m6r di6m di dQng tr6n cung nho BC cua ducrng tron d6.
a) Chtmg minh: MB + MC : MA
b) Gqi rI, I, K lAn luort ld chan ducmg vu6ng goc hqtu M xu6ng AB, BC, cA Gqi E s,
Dn luo't ld diOn tich cua tam giitc ABC, MBC Chung t"inh-;"; rcrri rtr di d6ng ta
1u6n c6 d[ng thric:
n tn t
]\TMF
3R
AD, BE, CF ld cilc ducrng cao L6y M h6n doan Chimg minh ring MA ld tia phdn gi6.c cua goc
socrAo PUC vA oAo r4o
BINH DINH E6 chinh thri'c