四川省仁寿一2021-2022学年中考联考数学试题含解析及点睛

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(3)1.ூ2᪆௃(1)ᵫAḄ#ᦪMᐸᡠᓰPᑖQRS#ᦪS#ᦪTUᐸVWX#ᦪR8Ḅ#ᦪᓽ⊡ᐰH;;

15(2)᪷\]ᦪḄ^_R2(3)ᵨS#ᦪab᪵d஺5E#ᦪᓰS#ᦪḄQfᓽ.ூ&#௃2)(1)•.•ghiḄS#ᦪj20+20%=100(#),ᑣmn1op(BWX)Ḅ#ᦪj100-(20+30+10+5)=35(#),⊡ᐰH;᝞9)(2)᪷\dqhiḄᦪ\rᕜtuv᜜mnxḄpᦪḄ]ᦪ1opᦑzᫀj1;(3)|}~᪥ᐰᕜᑁtuv᜜mnxᙠ3op(3op)bCḄᐳᨵ2000x=1(#)ᦑzᫀj1.ூ௃⚪⌕ὃiᩩ;}HḄᵨbMᡧ;}Hᵨஹᑭᵨ᪵d|}SᑭᵨH;-.R᪵d2⚪ᐵ.21ஹ(1)35%,126
(2)I2᪆(3)1344#ூ#᪆௃(1)ᵫᡧ;}HᐸḄPᑖQR“''ḄPᑖQab360ᓽᑮ¢(2)R3£¤bCḄ#ᦪ⊡ᐰᩩ;}Hᓽ(3)ᵫrᕜ¥ᵨ¦§¤¨ᙠ2£¤bC(©2£¤)ḄPᑖQab2100ᓽᑮ¢.ூ&#௃(1)᪷\⚪ª)1-(40%+18%+7%)=35%,«!1“”®Ḅᙊ°±²ᦪ36(Fx35%=126஺ᦑzᫀj35%,126
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16⊡ᐰ¦§᝞©:ᕜ«ᵨ¬Ḅq®ᑣᕜ«ᵨ¬q®ᙠ2q¯°B±2q²Ḅrᦪ³ᨵ1344.ூMN௃b⚪ὃdeᩩ§¶·¦ᡧ§¶·¦¢ᵨ᪵bº·»¼½¦¾@¿ᑮÁ⌕ḄÂÃY⚪ᐵ.22ஹ1ᡭᢚÆᵬÈÉÊËÌ70ᐗÍÈÉÊËÌ80ᐗ.2ᡭᢚÎÏÐÑᢇÊËBᡭᢚ⁚ḕe3120ᐗ.ூ᪆௃ᑖ᪆&1ÕᡭᢚÆᵬÈÉÊËÌxᐗÍÈÉÊËÌyᐗ᪷U“ᡭᢚÆÐ6ÌᵬÈÉÊË=3ÌÍÈÉÊË◤600ᐗEᡭᢚÎÐ50ÌᵬÈÉÊË=40ÌÍÈÉÊË◤⌕5200ᐗ”ᓽ%ᐵAxஹyḄᐗ
<ᓽ%ÙÚE2᪷U⁚ḕÛᦪ=ÜÝÏÐᡠ◤Ûᦪ-ᡭᢚÎÏÐᡠ◤Ûᦪᓽ%⁚ḕḄÛᦪ.1ÕᡭᢚÆᵬÈÉÊËÌxᐗÍÈÉÊËÌyᐗ᪷U⚪&6x+3^=600'50x0.8^+40x0.75^=5200'x=40&ß>=120Z&ᡭᢚÆᵬÈÉÊËÌ40ᐗÍÈÉÊËÌ120ᐗ.(2)80x40+100x120-80x0.8x40-100x0.75x120=3640(ᐗ).Z&ᡭᢚÎÏÐÑᢇÊËBᡭᢚ⁚ḕe3640ᐗ.MN&b⚪ὃdeᐗ
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E2᪷Uᦪàᐵ5ᑡ·á.1223ஹ(1)y=—
(2)1
x

17ூ
᪆௃(1)âMBḄᙶ᪗åᐭVç᪆kèᓽ%VçéᦪḄ᪆E(2)᪷UMB(3,4)ஹC(m,0)m+3Ḅᙶ᪗êBCḄ@MEᙶ᪗(

2),ëMEḄᙶ᪗åᐭVçéᦪḄ᪆mḄè᪷UYìê§Ḅ☢îᓽ%.ூ௃(DâBᙶ᪗åᐭVç᪆&k=12,ᑣVçéᦪ᪆y=EX(2)VB(3,4),C(m,0),...êBCḄ@MEᙶ᪗(.2),12ëMEḄᙶ᪗åᐭVçéᦪ2=ï~2~&m=9,ᑣYìê§OBCDḄ☢î=9x4=1.ூMN௃b⚪VçéᦪḄðᔠᵨὃdḄñ½MᨵòW5ᦪ¡ஹYìê§Ḅឋôஹ@MḄ¡.ᙠ(1)@õòW5ᦪ¡Ḅᵨᙠ(2)@ᵨm⊤\EMḄᙶ᪗⚪Ḅᐵ.24ஹ(1)y=—(1)(-1730)ᡈ(10)xூ
᪆௃(1)âAḄᙶ᪗åᐭVçéᦪḄ⊤÷ᓽ%ZᫀE(1)NA=60஺N5=30஺øù஺4=08,AA05Ḅ☢î᪷UúñSAAOP=AOB,஺ûü,2ᓽ%Zᫀ.ூ௃(1)âA(G1)åᐭVçéᦪ^=
&A=lxþ=6ᡠVçéᦪḄ⊤÷(1)VA(g,1),OA±AB,ÿC,OC=0,AC=1=ᔆ+=L9OC/-VtanA=-----=A/3,ZA=60°.AC"OALOB,.ZAOB=W°,.,.N8=30°,.OB=1OC=1J3,ASAAOB=~OA*OB=-x1x1J3=2^3.22

18SAAOP——SAAOBr—xOPxAC——X2,^/3.222•.•AC=1,³஺´=1P...´Ḅᙶ᪗j·-1730ᡈ16,.d⚪ὃiᵨ¹^ºᦪ»R¼Qf½ᦪḄ2᪆¾±;Ḅ☢À2Á±±;R¼Qf½ᦪḄ2᪆¾5RAOBḄ☢À2z⚪Ḅᐵ.25ஹ©ÂÃÄᐰ⌕R,ᳮᵫI2᪆.ூ#᪆௃ᙠRtAABCᵫNACB=90஺AC=15m,NABC=45஺RBC=15m
ᙠRtAEGDᵫNEGD=90஺EG=15m,NEFG=37஺2GF=20m
ÅÆÇᩩ!&';EACGÈ;GC=AE=2m
É᪵2)DF=GC+BC+BD-GF=2+15+5-20=2<2.5,ᵫ)“Ê}Ëᫀ©ÂÃÄᐰ⌕R”.ூ&#௃2)ÌÍËÎÏḄÊ}Ëᫀ©ÂÃÄᐰ⌕Rᳮᵫ᝞9)ᙠRtAABCAC=15m,NABC=45஺.AC.*.BC=--------7r=15m.tan45°ᙠRtAEFGEG=15m,NEFG=37஺“15.EG.♦.GF=--------7-»3=20m.tan37°-4•.,EG=AC=15m,ACJLBC,EG_LBC,.♦.EG஻AC,•••&';EGCAÈ;.*.GC=EA=2m,.•.DF=GC+BC+BD-GF=2+15+5-20=2<2.5.ÌÍËÎÏḄÊ}Ëᫀ©ÂÃÄᐰ⌕R.26ஹ2.7Ð.ூ#᪆௃

19ᐜ᪷\ÒÓ^ᳮRABḄÔᳮBDḄÔÕ.ூ&#௃ᙠRSACBVZACB=90°,BC=0.7ÐAC=2.2Ð.*.AB2=0.72+2.22=6.LᙠRtAA,BDVZA,DB=90o,AD=1.5Ð,BD2+ArD2=AB,2,.,.BD2+1.52=6.1,.*.BD2=2.VBD>0,BD=2Ð.³CD=BC+BD=0.7+2=2.7Ð.z)£ÖḄײCDj2.7Ð.ூ௃d⚪ὃiḄÒÓ^ᳮḄᵨᙠᵨÒÓ^ᳮ2ØÙ▭Û⚪¤ÒÓ^ᳮÜËÝḄᔠ2ØÙ▭Û⚪ÞᵨḄË»ᐵ⚪ßàÒÓ^ᳮÉᦪáâãä.ḄåªH.⚞çᦪ;ᔠḄèéḄᵨ.27ஹ(l)y=10x+100
(2)Éêë¢rᓟíîï9ᐗ(3)~ë¢rᓟíîï5ᐗ¤ᖪòóôõᑭᨬᜧᨬᜧᑭø2250ᐗ.ூ#᪆௃(1)ᵫ¹^ºᦪ»ᓽᑮ½ᦪḄ2᪆¾(2)᪷\├úxrᓟíᑭø=SᑭøᑡËÝR2ᓽ(3)᪷\├úxrᓟíᑭø=Sᑭøᑡ½ᦪ2᪆¾R2ᓽ.ூ&#௃(1)ÊyÜxý¨Ḅ½ᦪᐵº¾j)y=kx+b,'2k+b=U0þ(2,120)5(4,140)ÿᐭ
4Z+/?=140ᦇ=10
,8=100'...yxḄᦪᐵy=10x+100
(2)᪷⚪
(60-40-x)(10x+100)=2090,
x=lᡈx=9,•••
ᑮᜧḄ!,x=9,

20ᓟ9ᐗ(3)ᓟxᐗᖪᑭwᐗ᪷"⚪$w=(60-40-x)(10x+100)=-10x2+100x+2000,.*.w=-10(x-5%+2250,Va=-10<0,...'x=5(wᨬᜧ=225()ᦑᓟ5ᐗ(ᖪᑭᨬᜧᨬᜧᑭ2250ᐗ.ூ-.௃0⚪ὃ2Ḅ456ᦪḄᵨ9:⚪;<⌕ὃ2>?ᑖ᪆ஹCDE▭G⚪HIJHKLᙢὃ2>?“ᵨᦪ>”Ḅ$P.