70 bai tap tu luyen ve he phuong trinh bac nhat hai an
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HNGDNSDNGSCH
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HNGDNSDNGSCH
BnangcmtrntaycunschtngtccphttrinbiTilado.Cunschnylphinbnincaschinttihttp://tilado.edu.vn.cthsdnghiuqucunsch,bncnctikhonsdngtiTilado.Trongtrnghpbnchactikhon,bncntotikhonnhsau:
1. Votranghttp://tilado.edu.vn2. Bmvont"ngk"gcphitrnmnhnhhinthraphiung
k.3. inthngtincabnvophiungkthnhvinhinra.Chnhng
chcdusaomulbtbuc.4. Saukhibm"ngk",bnsnhnc1emailginhmmailcabn.
Trongemail,c1ngdnxcnhnvicngk.Bnchcnbmvongdnlvicngkhontt.
5. Saukhingkxong,bncthngnhpvohthngbtkkhino.
Khictikhon,bncthkthpvicsdngschintvischincngnhau.Schbaogmnhiucuhi,dimicuhic1ngdntngngvicuhitrnphinbnintnhhnhdi.
Nhpngdnvotrnhduytsgipbnkimtrapnhocxemligiichititcabitp.Nubnsdnginthoi,cthsdngQRCodeikmtintruycp.
CmnbnsdngsnphmcaTilado
Tilado
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BITPCHNLC
BITP1.Giicchphngtrnhsaubngphngphpth:
a.
72x
13y = 6
14x +
56y = 3
b.2x 1, 2y = 1, 081, 3x + 0, 5y = 0, 31
Xemligiiti:http://tilado.edu.vn/764/95221
2.Giicchphngtrnhsaubngphngphpcngis:
a.23x + 45y = 16
53x 2y = 15 5
b.(3 + 2)x (5 2)y = 2(5 + 2)x + (3 2)y = 2
Xemligiiti:http://tilado.edu.vn/764/95231
3.Chohphngtrnhmx + y = 2m 1
(2m + 1)x + 7y = m + 3.
a. Giivbinlunhphngtrnhtheothamsm.b. Khihcnghim(x0 y0),xcnhhthclinhgiax0vy0khngph
thucvom.
{{
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{
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Xemligiiti:http://tilado.edu.vn/764/95282
4.Giivbinlunhphngtrnh:
2x + 3y = 5 (1)x y = 2 (2)x + 4y = m (3)
Xemligiiti:http://tilado.edu.vn/764/95272
5.Giihphngtrnhsau:
4x + y 1
5
2x y + 3=
52
3x + y 1
+1
2x y + 3=
75
.
Xemligiiti:http://tilado.edu.vn/764/95262
6.Chohphngtrnhvithamsa:(a + 1)x y = a + 1 (1)x + (a 1)y = 2 (2)
.
a. Giihphngtrnhvia = 2.b. Giivbinlunhphngtrnh.c. Tmccgitrnguyncaahphngtrnhcnghimnguyn.d. Tmccgitrnguyncaanghimcahphngtrnhthamnx + y
nhnht.
Xemligiiti:http://tilado.edu.vn/764/95293
{
{{
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7.Giihphngtrnh:
2x 3y4
x + y 1
5= 2x y 1
4x + y 24
=2x y 3
6x y 1
3
Xemligiiti:http://tilado.edu.vn/764/95242
8.Giihphngtrnh:
1x + y
+1
x y=
58
1x + y
1
x y=
38
Xemligiiti:http://tilado.edu.vn/764/95252
9.Tmsnguyndnganhnhtsaochotnticcsnguynbvcthamn2a 3b = 4v3a + 5c = 2.
Xemligiiti:http://tilado.edu.vn/764/952103
10.Giihphngtrnhsau:
(x + 20)(y 1) = xy(x 10)(y + 1) = xy
Xemligiiti:http://tilado.edu.vn/764/95352
{
{
{
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11.Chohphngtrnh:
ax + by = cbx + cy = acx + ay = b
tronga, b, c 0.Bithphngtrnhcnghim,chngminh:a3 + b3 + c3 = 3abc.
Xemligiiti:http://tilado.edu.vn/764/95392
12.Giihphngtrnhsau:
4x + y 1
5
2x y + 3=
52
3x + y 1
+1
2x y + 3=
75
Xemligiiti:http://tilado.edu.vn/764/953143
13.Giihphngtrnhsau:
4x + 5yxy
= 2
20x 30y + xy = 0
Xemligiiti:http://tilado.edu.vn/764/953133
14.Tmgitrcaavbhphngtrnh:
{
{
{
-
2ax + (b + 2)y = 3(a 1)x by = 5
cnghimx, y = (2 1).
Xemligiiti:http://tilado.edu.vn/764/95382
15.Giihphngtrnh:
2x y + 1
3
x + y 2= 1
3x y + 1
+1
x + y 2= 12
Xemligiiti:http://tilado.edu.vn/764/95331
16.Giihphngtrnh:
x |y 5| = 8|x + 1| + 3|y 5| = 21
Xemligiiti:http://tilado.edu.vn/764/95342
17.Giihphngtrnh:3x + 5y = 2xy
20x 15y + xy = 0.
Xemligiiti:http://tilado.edu.vn/764/95321
18.Binlunhphngtrnhsaubngphngphpnhthc:
{
{
{
{
-
x + (m 1)y = 2(m + 1)x y = m + 1
Xemligiiti:http://tilado.edu.vn/764/95372
19.Hygiihphngtrnhsau:
1x
+1y
= 10
2x
3y
= 25
Xemligiiti:http://tilado.edu.vn/764/953123
20.Giihphngtrnh:
1x 2
+1
y 1= 2
2x 2
3
y 1= 1
Xemligiiti:http://tilado.edu.vn/764/953112
21.Khiu[x]lchphnnguyncasthcx.Giihphngtrnh:
3[x] + y = 7x + 3[y] = 5
{
{
{
{
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Xemligiiti:http://tilado.edu.vn/764/95362
22.Giihphngtrnhsau:3(2x + y) = 3(x + 2)(1)
3x + 4y = 7(2)
Xemligiiti:http://tilado.edu.vn/764/95311
23.Trongmthitrngcmtsghbng,mighbngquynhngimtsnginhnhau.Nubt2ghbngvmighbngngithm1ngiththmc8ch.Nuthm3ghbngvmighbngngirtimtngithgim8ch.Tnhsghbngtronghitrng.
Xemligiiti:http://tilado.edu.vn/764/95442
24.Giscmtcnhngcdynhnhau,mccaounhnhautrntonbcnhngtrongsutthigianbnctrncnhngy.Bitrngc9conbnhtctrncnhngtrong2tun,6cnbnhtctrncnhngtrong4tun.Hibaonhiuconbnhtctrncnhngtrong6tun?(githitrngmiconbnscnhnhau).
Xemligiiti:http://tilado.edu.vn/764/95493
25.HaiaimA,Bcchnhau360km.Cngmtlc,mtxetikhihnhtAchyvBvmtxeconchytBvA.Saukhigpnhauxetichytiptrong5ginathnBvxeconchy3gi12phtnathnA.Tnhvntcmixe.
Xemligiiti:http://tilado.edu.vn/764/95431
{
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26.Haimybmncvorung.Nuchomythnhtbmsut8gimimmythhaicngbmthm4ginathyrung.Nuchomythnhtbmsut10gi30phtmimmythhaicngbmthm3ginathyrung.Nudngmtmybmthphibmtrongbaolumiyrung?
Xemligiiti:http://tilado.edu.vn/764/95482
27.HaibnsngAvBcchnhau40km.MtcanxuidngtAnBriquaytrliAvivntcringkhngihtttc2gi15pht.KhicankhihnhtAthcnglc,mtkhcgcngtritdotAtheodngncvgpcantrnngvtimtimcchA8km.Tnhvntcringcacanvvntccadngnc.
Xemligiiti:http://tilado.edu.vn/764/95472
28.imtrungbnhca100hcsinhtronghailp9Av9Bl7,2.Tnhimtrungbnhcacchcsinhmilp,bitrngshcsinhlp9Agprishcsinhlp9Bvimtrungbnhcalp9Bgpriimtrungbnhcalp9A.
Xemligiiti:http://tilado.edu.vn/764/95421
29.Tmhaistnhin,bitrngtngcachngbng780vnulyslnchiachosnhthcthngl4vsdl30.
Xemligiiti:http://tilado.edu.vn/764/95411
30.Tnhdibanucahaicnhgcvungcamttamgicvung.Bitrngnugimmicnhgcvungi2mthdintchcatamgicgimi12m2.Cnnumtcnhgcvungtng4mvcnhcnlitng3mthdintchtamgictngthm31m2.
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Xemligiiti:http://tilado.edu.vn/764/95462
31.Tmccgitrcaavbhphngtrnh:ax + by = 32ax 3by = 36 cnghiml
(3 2)
Xemligiiti:http://tilado.edu.vn/764/95514
32.Tmmtschaichsbitrnghailnchshngchclnhn5lnchshngnvl1vchshngchcchiachochshngnvcthngl2vdcngl2.
Xemligiiti:http://tilado.edu.vn/764/95524
33.Haiixechctsanlpmtkhut,nuhaiicnglmthsau12ngyxongvic.Nhnghaiichcnglmtrong8ngy.Sauithnhtlmtipmtmnhtrong7ngynathxongvic.Himiilmmtmnhthbaoluxongvic?
Xemligiiti:http://tilado.edu.vn/764/95534
34.Mtsntrnghnhchnhtcchuvi340m.Balnchiudihn4lnchiurngl20m.Tnhchiudivchiurngcasntrng.
Xemligiiti:http://tilado.edu.vn/764/95544
35.Choccngthng:d1 : 2x y = 2m 1
d2 : 4x 3y = 4m + 1
a. Giithchvsaokhimthayi,haingthngd1vd2lunctnhau.XcnhtagiaoimMtheom
{
-
b. ChngminhrngkhimthayithimMlundingtrnmtngthngcnh
c. TmgitrnhnhtcabiuthcS = x2 + y2vix,ythamnphngtrnhcad1vd2.
Xemligiiti:http://tilado.edu.vn/764/95554
36.Trnmtcnhngcy60(ha)lagingmiv40(ha)lagingc.Thuhochcttc460tnthc.Hinngsutmiloiginglatrnmt(ha)lbaonhiubitrng3(ha)lagingmithuhochcthn4(ha)lagingcl1tn.
Xemligiiti:http://tilado.edu.vn/764/955104
37.Chohphngtrnh:mx y = 2m (1)x my = 1 + m (2)
a. Xcnhmhphngtrnhcnghimduynhtb. Xcnhmhphngtrnhcnghimnguync. ChngtrngM(x;y)vi(x;y)lnghimcahphngtrnhlunthuc
mtngthngcnhd. TmgitrcambiuthcP = xycgitrlnnhtvi(x;y)lnghim
cahphngtrnh.Tmgitrlnnht.
Xemligiiti:http://tilado.edu.vn/764/955154
38.Chohphngtrnh:(a + 1)x y = 3ax + y = a ( )
a. Giihphngtrnhvia = 2.b. Xcnhgitrcaahphngtrnhcnghimduynhtthamniu
kinx + y > 0.
Xemligiiti:http://tilado.edu.vn/764/955204
{
{
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39.Giihphngtrnh:x2 + y2 = 5
x4 x2y2 + x4 = 13
Xemligiiti:http://tilado.edu.vn/764/955254
40.Chohphngtrnh:(m 1)x my = 3m 12x y = m + 5
a. Xcnhmhcnghimduynht(x;y)saochox + y > 0b. Xcnhmhcnghimduynht(x;y)thamn3x y = 0
Xemligiiti:http://tilado.edu.vn/764/955304
41.Chohphngtrnh:2x + my = 1mx + 2y = 1
Tmsnguynmhphngtrnhcnghimnguynduynht(x;y)vix,ylccsnguyn.
Xemligiiti:http://tilado.edu.vn/764/955294
42.Giihphngtrnh:x3 + 1 = 2y
y3 + 1 = 2x
Xemligiiti:http://tilado.edu.vn/764/955284
43.Giihphngtrnh:x2 + xy + y2 = 4x + xy + y = 2
{
{
{
{
{
-
Xemligiiti:http://tilado.edu.vn/764/955274
44.Giicchphngtrnhsau:
a.x2y + xy2 = 6xy + x + y = 5
b.
x + y +1x
+1y
= 5
x2 + y2 +1
x2+
1
y2= 9
Xemligiiti:http://tilado.edu.vn/764/955264
45.Chohphngtrnh:2x 3y = 2m + 6x y = m + 2
(m 0)
a. Giihphngtrnhvim = 4b. GiihphngtrnhtrnsaochoS = x + ynhnht.
Xemligiiti:http://tilado.edu.vn/764/955214
46.TrongmtphngtaOxy,choimM(3;2).CbaonhiungthngiquaM,ctOxtiimchonhlmtsnguyndng,ngthictOytimtimctunglmtsnguyndng.
Xemligiiti:http://tilado.edu.vn/764/955164
47.ChohnhvungABCDcnhy(cm),imE AB,G ADsaocho
AG = AD +32EB.DnghnhchnhtGAEF.tEB = 2x(cm).Tnhxvy
dintchcahnhchnhtbngdintchhnhvungvnggicABCFGcchu
{
{{
-
vibng100 + 413(cm)
Xemligiiti:http://tilado.edu.vn/764/955114
48.Chongthng d1 : 2x y = 3vngthng(d2) : y = ax + b.Tnhtng
a + btrongcctrnghp.a. (d1)ixng(d2)quatrchonh
b. (d1)ixng(d2)quatrctung
Xemligiiti:http://tilado.edu.vn/764/95564
49.samtnginhcnmtsthlmvictrongmtthigianquynh.Nugimbangiththigiankodithm6ngy,nutngthmhaingithxongsmhnhaingy.Hitheoquynhthcnbaonhiuthvlmtrongbaonhiungyhonthnhcngvictrn?Bitrngkhnnglaongcamithunhnhau?
Xemligiiti:http://tilado.edu.vn/764/95574
50.HmquamcaLanichmua5qutrnggv5qutrngvtht31000ng.HmnaymLanmua3qutrnggv7qutrngvtht30600ngmgitrngvnnhnhauhigimtqutrngmililbaonhiu?
Xemligiiti:http://tilado.edu.vn/764/95584
51.Trongmtphnghccmtsghdi.Nuxpmigh3hcsinhth6hcsinhkhngcch,nuxpmigh4hcsinhththamtgh.Hilpcbaonhiughvbaonhiuhcsinh?
Xemligiiti:http://tilado.edu.vn/764/95594
52.Haixelangthikhihnhthaigacchnhau750kmvingc
( )
-
chiunhau,sau10gichnggpnhau.Nuxethnhtkhihnhtrcxethhai3gi45phtthsaukhixethhaiic8gichnggpnhau.Tnhvntccamixe.
Xemligiiti:http://tilado.edu.vn/764/955144
53.Chohphngtrnh:mx + 4y = 10 mx + my = 4 (*)vimlthams
a. Giivbinlunhtheom
b. Giihphngtrnhkhim = 2Xemligiiti:http://tilado.edu.vn/764/955194
54.Giihphngtrnh:
x2 xy + y2 = 3(x y)
x2 + xy + y2 = 7(x y)
Xemligiiti:http://tilado.edu.vn/764/955244
55.Giihphngtrnh:x2 + y2 + xy = 7
x4 + y4 + x2y2 = 21
Xemligiiti:http://tilado.edu.vn/764/955234
56.Giihphngtrnh:x + y = 1
x3 + y3 = x2 + y2
Xemligiiti:http://tilado.edu.vn/764/955224
{
{
{
{
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57.Mtngimua30conchimgm3loi:chims,chimngivbcuhtttc30ng.Bit3conchimsgi1ng,2conchimngigi1ngvmiconbcugi2ng.Himiloicmycon?
Xemligiiti:http://tilado.edu.vn/764/955174
58.Tngstuicativemtinmnayl26.Khitngstuicachngtigp5lntuicatihinnaythtuicatikhigp3lntuicaemtihinnay.Hytnhtuihinnaycamingichngti.
Xemligiiti:http://tilado.edu.vn/764/955124
59.Mtxelaphivnchuynmtlnghng.Nuxpvomitoa15tnhngthcnthali3tn,nuxpmitoa16tnthcthchthm5tnna.Hixelacmytoavphichbaonhiutnhng?
Xemligiiti:http://tilado.edu.vn/764/955134
60.Chohphngtrnhx + my = 2mx 2y = 1 (*)
a. Giihphngtrnhtrnkhim = 2b. Tmmhcnghimduynht(x;y)c. Tmccsnguynmhcnghimduynhtmx > 0 y < 0d. Tmmhcnghimduynht(x;y)mS = 2x ytgitrlnnht.
Xemligiiti:http://tilado.edu.vn/764/955185
61.Giihphngtrnh:x4 + 3 = 4y
y4 + 3 = 4xvi x, y
34
{
{ ( )
-
Xemligiiti:http://tilado.edu.vn/764/95615
62.Giihphngtrnh:x3 + 2x = y
y3 + 2y = x
Xemligiiti:http://tilado.edu.vn/764/95625
63.Giicchphngtrnhsau:
a.x2 yxy = 36y2 xxy = 72
b.x
1x
= y 1y
2y = x3 + 1
Xemligiiti:http://tilado.edu.vn/764/95655
64.Giihphngtrnhx2 = |x| + y
y2 = |y| + x
Xemligiiti:http://tilado.edu.vn/764/956105
65.Giihphngtrnhx2 xy 6y2 2x + 11y 3 = 0
x2 + y2 = 5
{
{{
{
{
-
Xemligiiti:http://tilado.edu.vn/764/956155
66.Giihphngtrnhx2 + 2xy + 2y2 + 3x = 0
y2 + xy + 3y + 1 = 0
Xemligiiti:http://tilado.edu.vn/764/956145
67.Giihphngtrnh
x 2y 2x
+ 1 = 0
x2 4xy + 4y2 4
x2+ 1 = 0
Xemligiiti:http://tilado.edu.vn/764/95685
68.Giihphngtrnhx2 2xy 3y2 = 0
x2 + y2 + 2x + 3y = 19
Xemligiiti:http://tilado.edu.vn/764/956125
69.Khithmmtltaxitvodungdchaxitcngloi(gmncvaxit)thdungdchmicnngaxitl40%,lithmmtltncvodungdchva
thucthnngaxittrongdungdchl3313%.Tnhnngaxittrong
dungdchbanu.Xemligiiti:http://tilado.edu.vn/764/95675
70.Mtchicnhngi204,cbangimunmuachicnhnnynhng
{
{{
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ukhngtin:Ngithnhtnivihaingikia:mingichotivaymtnastincamnhthtitinmuanhn.
Ngithhainivihaingikia:mingichotivay13stincamnhth
ticngtinmuanhn.
Ngithbani:chcnccanhchotivay14stincamnhthchicnhn
kiaslcati.Hychobitmingicbaonhiutin?
Xemligiiti:http://tilado.edu.vn/764/95665