ƪһпר-һԪһβʽ()Ӧ
ѧݣһԪһβʽ()Ӧ
ص㡢ѵ㡢㡿
ص㣺1ȷⲻʽʽĽ⣬ʽĽ⼯ⲻʽȸ
2ղʽĻʲʽⲻʽ飩صӦáѵ㣺ֲ̽ʽ֪ʶ뷽̣֪ʶۺDZܸϰѵ㡣
㣺пԲʽ뷽̡ۺϽ͵ʽп⣬ʱҲѡУԲʽⷨΪ2~3⣬ֵΪ5~10ҡ
䷶·
1 1вʽ飬ȷǣ
?x?5?x??Aʽ?
?x?3Ľ⼯x>3
Bʽ?
7?x??1Ľ⼯x<
1
?Cʽ?x??8?x??4
?x??7Ľ⼯ǣ8<x<7Dʽ??x?2Ľ⼯ǣ4<x<2
2x<yõax<ayǣ A.a0
B.a0
C.a>0
D.a<0
2 1M3a9,1aǵ㣬Mꡣ2ijƶ2001ijƷƻݣ
˲ƷйΪ400ˡ ÿ˵깤ʱԼ2200Сʱ
Ԥһ1017֮䡣 ÿ4Сʱ10
Ŀǰ1000֣껹1400֣2001ɲ2000֡ Ըȷ2001ܵIJݲȷ
ͬϰ
1.ʽ2x1<3ǣ
?2.ʽ?
2x?1?0
?4?x?0Ľ⼯ǣ
3.ʽ3x+4>0Ľ⼯ǣ
??x?4??x
?14.xIJʽ?
32?x?a?0Ľ⼯Ϊx<2aȡֵΧǣ
??x?1
???2?
3?5.㲻ʽ??1?1?x3?xxΪ
6.֪ʵa,b,c϶Ӧĵͼʽȷǣ
A.cb>ab
B.ac>ab
C.ab>ac
D.c+b>a+b
?x?5??29.ʽ?
?3?x?4Ľ⼯ʾӦΪ
??
3x?4?x?x?3
10.ⲻʽ飩??5?x?1
??
3(x?1)?4x?2
?xx11.ⲻʽ??2??13дʽ⡣
3x?5
12.ⲻʽx24Ľ⼯ϱʾ
13.һnΣȥһڽ⣬ڽǺ2570㣬n
14.ijѧסÿס4ˣ20ûסÿס8ˣһססļ
2x?1x?1
15.֪x㲻ʽ3x46x2Ͳʽ31<2㷽
13(x+a)=5a2ʽ5a22aֵ
16.ij̶ҪƸסֵֹĹ150ˣסֵֹĹ˵¹ʷֱΪ600Ԫ1000ԪҪֵֹڼֹ2ʼסָֹƸʱʹÿĹ٣
±ѵ
17.ij½̳аٻװͼҵ粿Ӫ190ۻԱƻȫ̳ӪҵΪ60ԪӪҵʲͬ䵽ۻԱҲͲȣݾ飬Ʒÿ1ԪӪҵۻԱ±1ÿһԪӪҵ±2 ̳ƻӪҵӪٻװͼҵ粿ӪҵֱΪxԪ,yԪzԪ,(xyz)
1úxĴʽֱʾyz
2̳ԤÿյΪCԪ19C19.7̳ӦӪҵӪӦֱŶλۻԱ
һ
??
5a?1?3(a?1)?118.֪ʽ??2
a?1?7?3
?ax?2y??72aa㷽??2x?3y?4ʽ(x+y)(x2xy+y2)ֵ
?x?19.kȡֵʱ?
y?3?x?3?2y?kõx,yֵС1
20.շѱDz1ǧ5Ԫÿ1ǧףѼ2Ԫ1ǧ·̣1ǧշѣij˳˳Ӽصҵأ35ԪӼȲ800ףȻ˳ҵ踶35ԪӼסصе˳ҵ踶ѶԪ
21.3x2<4x+12xa>x+aͬⲻʽaֵ
10
22.xIJʽ(2ab)x+a5b>0⼯Ϊx<7xIJ
ʽax>bĽ⼯
23.ָֻӣÿֻӷ3ʣ8ÿֻӷ5һֻӷֵ˻û5ӵֻ
ƪ(п)һԪһβʽӦ
B
һԪһβʽ飩Ӧ
1ֱl1:y?k1x?bֱl2:y?k2xʾxIJʽk2x?k1x?b
2һκy?kx?bkbdzͼ2ʾʽkx?b?0
ͼ2
x
?b(12ͼ
3. ij˾Ҫ300ijأABͺŵijɹã֪Aͳÿװ20֣Bͳÿװ15֣ÿص£300װ꣬ʣȷ5AͳǰٻBͳ
42008壩(12)ijмסƷƷÿ10Ԫۼ15ԪƷÿ30Ԫۼ40Ԫ
(1)óͬʱһιסƷ80ǡȥ1600Ԫܹ
Ʒټ
(2)óΪʹסƷ80(=ۼ-)600Ԫֲ
610ԪóӦĽ
5. (2008) 512Ĵ봨ǿҵijѸٵ֯30ʳ13ľʣڵüסͺŵĻǿٵ.֪ͻÿװʳ5ֺ1֣ͻÿװʳ3ֺ2֣ʱִ٣ֻļ9;ʻԱ־Ը.
3ʻԱֻ6ʻԱֻܷһԵ ҪʹһԵļ˻
6.2008ɽijΪĴʡ봨ļ裬յʳ100֣ʳƷ54. ּƻüסֻ8ȫ봨֪һֻͬʱװʳ20֡ʳƷ6֣һֻͬʱװʳ8֡ʳƷ8. (1) Щһ˵Ŀĵأмûķ
(2) ֻÿ1300Ԫֻÿ1000ԪҪʹܷ٣Ӧѡַ
7(2008 )512Ĵ֯ҽԱϸĴμԱȹ 30ҽԱЯ20ҩƷеüסͺŵ8ҹ̸ϸ˽⣬ÿ4˺3ÿ2˺8
1üxпܵ
2סÿֱΪ8000Ԫ6000ԪѡʡǮ
8ijмסƷƷÿ10Ԫۼ15ԪƷÿ30Ԫۼ40Ԫ
1óͬʱһιסƷ80ǡȥ1600ԪܹסƷټ
2óΪʹסƷ80?ۼ?ۣ600Ԫֲ610ԪóӦĽ
9. ijУʦΪ봨ڵ֪صһɹֹɹ3˾סС۸ÿ160Ԫɹ10˾סĴ۸ÿ400ԪѧУȥ96000Ԫÿɹ2300ʱס 1Уɹ˶ٶ3Сٶ10˴
2ѧУּƻüסͺŵĿ20֪Ϳÿͬʱװ4С11Ϳÿͬʱװ12С7ΰżסֿһԽļַ
10.ijѧУһЩйᡱڽҡ̵ȥÿйᡱҪ10Ԫ֯һЩͬѧԼÿйᡱijɱ4Ԫ٣蹲200ԪװͬѧѧУ⣬ַʽáйᡱķýϽʡ
11. ijλҪӡˢһ˻ϣҪ֧ư600Ԫÿ0.3Ԫӡˢѵǰ£סӡˢֱ˲ͬŻӡˢӡˢ2000ݵģֵӡˢѿɰ9շѣӡˢӡˢ3000ݵģӡˢѿɰ8շѡ
õλҪӡˢ2400ݣôӡˢķǣӡˢѵǡ
ӡˢС۸õλļӡˢӡˢϿɻøŻݣ 12.ij̳ABƷƵ500䣬ÿĽۺۼ±ʾ蹺Ax䣬ȫõΪyԪ yxĺϵʽ
ϵܷò20000Ԫô̳νܻࣿעۼۣɱ
13.2008̶Улʯ֯10װABCֲͬƷʵ100ֵۣƻ10Ҫװÿֻװͬһ±ṩϢ⣺ 1װAijΪxװBijΪyyx֮ĺϵʽ
2װÿij2ôİŷм֣дÿְŷ
3Ҫʹ˴ۻӦְŷֵ.
14(2008 ʮ)512գҹĴʡ
صȵطǿҵڿе֪סһִھҪ25
̨ҵҪ23̨ABʡֱ֪ͺھ26̨22̨ȫAʡһ̨ھҪ0.4ԪҵҪ0.3ԪBʡһ̨ھҪ0.5ԪҵҪ0.2ԪAʡx̨ھABʡھȫ
yԪ
ֱдyx֮ĺϵʽԱxȡֵΧ Ҫʹܺʲ15Ԫļֵ˷ Ƶ˷ʹܺ٣ٺǶԪ
39(1) 35+63=333031+62=1513 1
3ʻԱֻ6ʻԱֻܽһԵ˵ 2 (2) 谲żֻxֻ(9Cx) 3
ã??5x?3(9?x)?30,
?
x?2(9?x)?13. 5
ã1.5x5 6
עxΪx=2345 7
8 ˵ֱá1827ȷȥԣóȷй̣Ҳȫ.
40⣨1?װAΪxװBΪyװCΪ10-x-y 1
ã12x?10y?8(10?x?y)?100 2?y?10?2x 3 210?x?y?10?x?(10?2x)?x 4
ƪпϰһԪһβʽ()Ӧ
⣺һԪһβʽ飩Ӧ
༶
ѧϰĿ
1ղʽĻʣòʽ飩ĻʽһԪһβʽ()ʽо֮ϵҪģ֮һ
2νϺת˼뷽⣮
صѵ㡿
ص㣺һԪһβʽ飩⣮
ѵ㣺ɾʵʽģ͵Ḷ́νϺת˼뷽ʵ⣮
֪ʶ
һһ
1ʽĻʣ
1aba-c b-c 2abc0ac bc
3abc0ac bcab ccab cc
2һԪһβʽһ㲽裺ȥĸ1
3һأʽĽ⼯ģɵIJʽĽ⼯
4.һԪһβʽɵIJʽ⼯֪a?bʾ⼯ ?x?aĽ⼯ ?x?b?
?x?aĽ⼯ ??x?b
?x?aĽ⼯ ?x?b?
?x?aĽ⼯ǣ ??x?b
ϰ
1a32IJС5òʽʾΪ
2֪abáգ
1a5 b5 2a b
34a3 4b3432a32b
3ʽm?1?1ֵΪmķΧǣ 3
4 һһԪһβʽĽ⼯ϵıʾͼ
ʽĽ⼯ǣ
A?1?x?3B ?1?x?3 Cx??1D x?3
5С100ԪǮñʼDZֱʹ30֪ÿʼDZ2Ԫÿֱֻ5ԪôС ֱֻʣ
ѧ
1 ⲻʽ飩ѽ⼯ʾϣ
?x?3(x?2)?43?x4x?3?1 2 ?1?2x ?1??x?126??3
2 ij̵깺50ÿɱΪ80Ԫÿ95Ԫļ۸̵ۣ۶ټܳܳɱ
3 ֪㣨2,-3ֱy=ax+b(a0)һޣS=a+2bSȡֵΧ
ü⡿
1вʽ飩
?x?2?01? 1x?x?1 2?x?1 2?1?x ??2
?x?3?3x?1x?27?x??314ⲻʽ?2дò23??1?3(x?1)?8?x
ʽ⣮
2ʽ??x?2⣬
?x?m
A m?2B m?2C m?2D m?2
3ڷ?
4ijƻ15ټӹ408ǰ3ÿӹ24˺óƽÿҪӹٸڹ涨ʱ
κ̡
1ʽ2x?6?0Ľ⼯ǣ ?2x+y=1-mУδ֪xyxy>0mȡֵΧΪ ?x+2y=2
Ax?3Bx?3Cx??3Dx??3
2ʽ??2x?1?3Ľ⼯ϱʾȷǣ
?3x?51
2 2
2 2 C D
3ʽ3xm0123ômķΧ_
?x?a0,4 ʽ?н⣬aȡֵΧ() 1?2x?x?2?
A a1 (B)aݣ1 (C)a1(D)a1
5ijƷĽΪ800ԪʱΪ1200ԪڸƷѹ̵ۣҪ֤ʲ5%ɴ ۣ
6ѧҪӡƱУ¼ȡ֪ͨ飬ӡˢǰϵҵ׳Żǣÿݶ15Ԫİշѣ900ԪưѣҳŻǣÿݶ15Ԫļ۸䣬ư900ԪŻݣҼ涨һӡˢ500ݣ
(1)ֱӡˢշy(Ԫ)ӡˢx()ĺϵָԱxȡֵΧ
(2)θӡˢѡȽϺķ?ѧҪӡ2000¼ȡ֪ͨ顣ôӦѡһ?Ҫٷ?