2022年四川省宜宾市中考数学真题（解析版）

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⚪A.5B.10C.15D.20ூ2ᫀ௃Bூ5᪆௃ூᑖ᪆௃ᵫÐ஺E஻/18,DF//AC,ᑣalâÃÞß\4ãDE-¦Þß\&ᯠåᑭᵨ¦Þß\Ḅឋéalêë&1EDEḄᕜáíÐN8+4C.ூ75௃,CDE//AB,DF//AC,ᑣÞß\ZEDE-¦Þß\&ZB=ZEDC,4FDB=/C'AB=AC,,Z5=ZC,:.NB=4FDB,/C=/EDF,:.BF=FD,DE=EC,ᡠlSFDEḄᕜáíÐ48+ZC=10.ᦑ2ᫀ´BூBC௃!⚪ὃF§¦Þß\ḄឋéஹíῪcò\Ḅឋéஹ¦Þß\Ḅᑨ9&GHI¹óefB-!⚪5⚪ḄᐵK.6.202012ᨴ17õ&ᡃ÷øùúûüᘤþÿḼᨴᳫ᪵᳘ᡂḼ▮ᙢᳫ.202110ᨴ19H,▾⚗Ẇᡂ!"#$%&'()*+,Ḅ᳘.ᡂḄ/020.30±0.044.ᵨ6ᦪ8⊤:;᳘.ᡂḄ/ᨬ=Ḅ0>?>ᓫA"?A2.034xlO8B.2.034xlO9C.2.026xl08D.2.026xlO9ூLᫀ௃DூO᪆௃ூᑖ᪆௃6ᦪ8Ḅ⊤:.R0axlO"Ḅ.R&ᐸ1SWX10,஻0᦮ᦪ.[%஻Ḅ\]&^=ᦪ_`abcA&”Ḅef\g=ᦪ_`aḄAᦪhi.=ᦪ_ᔣk`a]&஻lm᦮ᦪn=ᦪ_ᔣo`a]&஻lp᦮ᦪ.ூqO௃O"20.304—0.044=20.264=2026000000=2.026x109,t3⚓&ᐳ28⚓

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14ὃCDEᜓὃGᧇIὃCE⚪KLv%!10Ḅ'.OM=MN=ON=\0,NMON=NMNO=ZAf=60°,ZOBC=ZMAB=ZNAD=30°,OC=x,§¨J0B=2x,BC=y^>x,MB=\Q-2x,MA=2MB=20-4x,.NA=\Q-MA=Ax-\0,DN=gNA=2x-5,AD=GDN=6(2x-5)=2Gx-5©#.OD=ON-DN=l5-2x,.••c8(x,©x),cZ(15-2x,2©ª5©)'k•ᦪI(x>0)ḄzMNஹOᵨᑖsc“ஹB,x#x0x=(15-2x)(2©x-5©)'Yx=5(\])ᡈx=3,...c8(3,373)-:.k=9.ᦑaᫀ!9y/3•ூcd௃e⚪vᦪḄ¬ᔠ⚪'ὃfgḄឋ'30ḄḄឋ¡kliᳮ'⚪Ḅᐵxv®ᑭᵨ¯ᦪ᪀±3o²³⚪.ஹa⚪eᜧ⚪ᐳ71⚪'ᐳ78ᑖ.19.(1)V12-4sin30o+|V3-2ூaᫀ௃প73<15⚓'ᐳ28⚓

15ὃCDEᜓὃGᧇIὃCE⚪KL(2)a-\ூ᪆௃ூᑖ᪆௃(1)ᐜᓄ·On᪷¹'ºᱯ¼ᦪ½ᐭ'¿ÀÁ'¤ÂÃ'ᨬÅᔠ¿ÆÇOn᪷¹ᓽÈ(2)ᐜÉÊ'¤Ëᵨ◀ÃÃᑣÍᓄᡂÂÃᓽ.ூ1³1௃Ϲ=2©-4x1+2-VJ2=V3ூ1³2௃.…Ò+11)«2-1Ϲ=|------------------(a+1a+l)aa(tz+—1)a+la=a-\.ூcd௃e⚪ὃfÓᦪḄÔᔠË'ᑖ¹ḄÔᔠË'ÕLqrÓᦪÔᔠËᑖ¹ÔᔠËÃᑣ'ÕÖᱯ¼Ḅᦪ.20.×Ø᝞z'c4ஹDஹCஹÙᙠÆIhÛ'AB//DE,NB=NE,BC=EF.ÜAD=CF.ூaᫀ௃Ý᪆ூ᪆௃ூᑖ᪆௃᪷ÞKLN4=NEDF,᪷ÞAASÜá{/BC,YZC=Z)/,᪷ÞhãḄäåᐵæᓽ.ூ௃Üá/.ZA=NEDF,ᙠ{48CADEEç'<16⚓'ᐳ28⚓

16ὃCDEᜓὃGᧇIὃCE⚪KL//=NEDF?@(1)AḄBᦪD⊡ᐰᩩH%&0(2)ᙠᡧH%&0LḄM(3)᝞+⌱CḄᨵ2O᝕ᐸQRᵱT⌕ᙠ⌱CḄ⌱U2OVWXYZ[\]^_ᵨa᪛c0ᡈᑡ⊤Ḅghាjkᵱ᝕VWXYZ[\]Ḅᭆ᳛.ூ:ᫀ௃(1)40Bst᪆2(2)40(3)-3ூt᪆௃ூᑖ᪆௃(1)᪷)AḄBᦪyᓰ{ᓽ}~Bᦪ#ᓽ}~஺ḄBᦪ⊡ᐰ%&0(2)᪷)8ḄBᦪyBᦪᓽ}t.(3)ᵨa᪛c0ᡈᑡ⊤Ḅghᭆ᳛ᓽ}t.ூ;1t௃17⚓ᐳ28⚓

17ὃᜓὃᧇὃ⚪>(1)ABᦪ12+30%=40(B),ூ;2t௃%=—xl00%=40%,m40m=40,ூ;3t௃gha᪛c0ᐳᨵ12}ឋ*+ᐸᵱ᝕ḄLᨵ8,•4~᝕ghᑡ⊤᝕1᝕2ᵱ2᝕i᝕τ᝕2᝕'ᵱ1᝕1ᵱ2᝕2᝕2᝕1᝕2ᵱ1᝕2ᵱ2
ᵱ1᝕,ᵱ1᝕2ᵱ1ᵱ218⚓ᐳ28⚓

18ὃᜓὃᧇὃ⚪ᵱ2ᵱ2᝕1ᵱ2᝕2ᵱ2ᵱ1ᐳᨵ12}ឋ*+ᐸᵱ᝕ḄLᨵ8P_£_2•4-ᵱ-᝕-ᓝூ¡௃¢⚪ὃ£ḄkᩩH%&0¤ᡧH%&0Ḅ¥ᔠ§ᵨ᪵¢©&ªa᪛c0ᡈᑡ⊤Ḅghᭆ᳛Y«%&04Ḅ%&0~ᑮ⌕Ḅ78kt®;⚪Ḅᐵ°.ᩩH%&0±²ᙢ⊤1´µ⚗·Ḅᦪ)ᡧH%&0¸¹º᧜¼ᑖᓰªḄ½ᑖ{ᜧ.22.¿ÀÁÂÃÄÅᖆÇÈÄÅ¿ÀÄÉ2200ᕜ?Ë▭Ḅ2018?ÍÄᡂḄÁÂ᝞01+ᡂRÏÐ✌ÉÒᔉஹÕÖ×Ø·Ḅᙢஹᦻᓄᙢ᪗ᡭᓱᙢ.ÝᦪÞRßàÁÂḄáâᙠãäåᜐ᝞02+ß~Â⚔஺ḄèéR45஺êᚁ{R7-24Ḅìᚁ48í$25îᑮïðñ8ᜐß~Â⚔஺ḄèéR60°,ÁÂḄáâOE.*+òóᑮ1î.Wὃᦪ)V3«1.7«V2»1.4+0102ூ:ᫀ௃40mூt᪆௃ூᑖ᪆௃᪷)i=7:24,AB=25,GBF=7a,ᑣ4b=24஺᪷)õö÷ᳮ~a=l,ùúBE=xᑣFC=BE=x,CE=BF=7,஺E,᪷)NC=OCᑡgûtgû#᪷)0E=Gxᓽ}t.ூt௃tᙠz=7:24,AB=25,GBF=7a,ᑣAF=24a,ᵫAF2+BF2=AB2>W924a+2+97a+2=25\t~4=1,:.BF=1,AF=24ùú8£=x,ᑣRC=8E=x,CE=BF=119⚓ᐳ28⚓

19ὃᜓὃᧇὃ⚪ᙠᵨABOENDBE=60°,ᑣDE=6BE=þ•••DC=DE+EC=6x+7ᙠᵨÿZC஺ZCUC=45஺KIJAC=DC,AF+FC=24+x,,,24+x=y[3x+7»:V3x=—x3+—V3«40.22.•.Ḅ!"#40m.ூ&'௃)⚪ὃ,-./0/1Ḅ2▭4ᵨ670/1Ḅ8/ᐵ:;⚪Ḅᐵ<.23.᝞>?@AᦪN=+bḄ>EFxGHI&/(4,0),F᜛GHI&8,FOPQAᦪ_y=g(x>0)Ḅ>EHI&CஹD.Wtan/[4஺=2,BC=3AC.(1)]?@Aᦪ^OPQAᦪḄ⊤`ab(2)]AOCOḄ☢d.ூeᫀ௃(1)y=-2x+S,y=-x(2)8ூ᪆௃ூᑖ᪆௃(1)᪷jtan/ᑗ஺=2,lm8&Ḅᙶ᪗pᵨqr:ᦪsᓽl]mḄ᪆auvwxPQᐵ:m&CḄᙶ᪗lOPQAᦪ⊤`au(2)x஺y஺z,yGᚖ|#&zὶᑡm&஺Ḅᙶ᪗v᪷jS&OCD=S&AOB—SAODB-S&OACᓽl]mAOCDḄ☢d.20⚓ᐳ28⚓

20ὃᜓὃᧇ?ὃ⚪ூ1௃ᙠ/AZOBVtanABAO=2,BO=2OA,•.•4(4,0),.•.3(0,8),V/l>8&ᙠAᦪy=ax+bZ(4,0)ஹ8(0,8)ᐭy=ox+b4a+b=0b=3a=-2,b=8,y=—2x+8C(X1,)x&CyGᚖ|#E,ᑣCE஻8O,.ACCEߟ⁰’BC=3AC,ACCE1•t•_—_—___——fABBO4CE1ᓽ——=—,CE=2,ᓽ=2,84/.—2X|+8=2,Xj=3,C(3,2)k—=3x2=6,21⚓ᐳ28⚓

21ὃᜓὃᧇ?ὃ⚪ூ2௃y=—2x+8H#=316Vi=61=2z?Ix.♦.0(3,2),0(1,6)x஺y஺zyGᚖ|#&zS.ocD=S^AOB-S^ODB-S&OAC-'-S^=-OAOB--BODF--OACEOCD°8222=8.ூ&'௃)⚪ὃ,OPQAᦪḄឋ¢£¤OPQAᦪF?@AᦪḄH&⚪OPQAᦪḄ☢d⚪¥pᵨOPQAᦪḄឋ¢¦¤ᮣ¨pᵨ☢d©ªḄs;⚪Ḅᐵ<.24.᝞>&C;¦N8#.«Ḅ஺஺?&&஺;Z8Ḅ¬®?&ᙠ஺(¯?&zS(FyḄᚖ®H/CI&G,H஺CḄ¬®I&E,°EG=EC.(1)]±bOE;0OḄᑗ®;22⚓ᐳ28⚓

22ὃᜓὃᧇ?ὃ⚪92+W&F;஺4Ḅ&BD=4,sinZD=-,]ECḄ.3ூeᫀ௃91+³᪆92+´4ூ᪆௃ூᑖ᪆௃91+µ¶0C,ᑭᵨ¸Ὺ0/1Ḅឋ¢^ᙊᕜ/rᳮ±NOCE=90஺ᓽlᵫᑗ®Ḅᑨrrᳮm¶¿u92+ÀOC0,]mCO=2,ÁÂ]஺஺=6,ᑣl]஺஺=4Ãv±m=C2,ᓽl]PÄ=ÅÆᓽlᵫEC=ED—CD].EDFD4ூ1௃±Çb᝞>µ¶OC,OA=OC,D•NN=N1,•••EG=EC,.N3=N2,bZ3=Z4,N4=N2,,EFAB,.N/+N4=90°,Nl+N2=90஺#BPZOC£=90°,OC±DE,...DE;஺஺Ḅᑗ®uூ2௃23⚓ᐳ28⚓

23ὃᜓὃᧇ?ὃ⚪CO1bᙠÀÈOC஺BD=4,sinZD=—=-,OD3.CO_CO_CO"~OD~OB+BD-03+4-3)CO-2,OD-6)CD=y/OD2-OC2=V62-22=472•FO,F0^-A0^-x2=l,22.FD=FO+OD=1,ZD=ZD,NOCD=NEFD=90°AOCDSAEFD,.ODCD64V2••--=----,ᓽ----=-----,EDFDED7.m21V2••h/D=--,4-8521V2n5¤••EC=ED-CD=----4v2=---44ூ&'௃)⚪ὃ,ᑗ®Ḅᑨrᙊᕜ/rᳮ¸Ὺ0/1Ḅឋ¢./0/1ÊË0/1ḄᑨrFឋ¢¥67Êᐵឋ¢Fᑨr;⚪Ḅᐵ<.25.᝞>Ìᱥ®᜛=o?+bx+cFxGHIÎ(3,0)ஹ3(—1,0)&FyGHI&C(0,3),ᐸ⚔&(1)]ÑᩩÌᱥ®ᡠÔ4ḄÕ@AᦪḄ⊤`a¤⚔&DḄᙶ᪗:24⚓ᐳ28⚓

24ὃᜓὃᧇ?ὃ⚪Ö2ÄᙠÌᱥ®ḄÔ×G¯?&E,&z#Ìᱥ®?Ù&Ú¦&4ஹCஹEஹz#⚔&ஹ4c#8ḄÜ81#ÝÞÜ81]&zḄᙶ᪗bÖ3ÄᙠÖ2ÄḄᩩßà&஺ᔣàÝâ5ãᓫåᑮ&&P#Ìᱥ®ḄÔ×G?Ù&]3PF+yPMḄᨬë.ூeᫀ௃Ö1Äì=?/+2í+3,⚔&஺Ḅᙶ᪗#Ö1,4ÄÖ2Ä9Ö?2,—5Äᡈ/Ö4,?5Äஹ24Ö3Ä—5ூ᪆௃ூᑖ᪆௃Ö1Äᵨqr:ᦪs]Õ@Aᦪ᪆avᓄᡂ⚔&aᓽlm⚔&ᙶ᪗uÖ2Äᐜᵨqr:ᦪs].®ZC᪆a#ó=-x+3,vx&zyQGI&G,±TOACqAGFE,O4=GE=3,F&Ḅᙶ᪗#Ö÷—øù+2÷+3Ä,ᑣG&Ḅᙶ᪗#Ö1,-/M2+2/M+3Ä,ᡠ¦EG=|/M—1|=3,ᓽl]m÷=-2ᡈ÷=4,ÁÂ]&Fᙶ᪗uÖ3Ä,;Ýâ&MḄᙶ᪗#஺,?1Ä,ᑣÖ2Äû&ὡÖ4,?5ÄF&ᨴÖߟ2,-5ÄᐵIÔ×Gþ=1Ô×,µ¶ᧅ
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ᐳ28⚓

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27ὃcdeᜓὃgᧇiὃce⚪kl_28⚓
ᐳ28⚓