2022届福建省部分市中考一模数学试题含解析及点睛

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10ᑖḄaᓣᵫᦪ!"20+8(5-a)=30,#"a=(஺%ᐵ'()*+Ḅ,-(ᑖ)஺1530+2=8412ஹ1.ூ᪆௃ᵫᢚ5Ḅឋ7"FE=BE,NFAE=NBAE,NAEB=NAEF,8NBAE=NFAE=1஺ᵫ9:;:<Ḅឋ7"NAEF=NAEB=54஺8NCEF=72஺8FE=CE,ᵫ=Ὺ;:<Ḅឋ78NECF=54஺ᓽ@"NDCFḄAᦪ.ூ௃#,••DE

11ᦑKᫀ1.INP⚪ὃST|ᦪḄ}i~eᢣᦪtஹijkl᪷Ḅmnq᦮ᦪᢣᦪᗩḄ}iᑣF#KP⚪Ḅᐵ].14ஹ-1ூ#᪆௃ᑖ᪆ᐜ8v={Ḅ#8={Ḅ#ᓽ@"Kᫀ.x+5>2জy#4-x>3®•••#={জ"x>-3,#={ঝ"xWl,%={Ḅ#-3VxWL%={Ḅᨬ᦮ᦪ#F-1,ᦑKᫀ-1.INP⚪ὃST#`ᐗ`f={X={Ḅ᦮ᦪ#᪷c={Ḅ#"={Ḅ#F#⚪Ḅᐵ].15ஹ-30®y#5-2x>lঝ,ᵫ={জ#"x>aᵫ={ঝ⚗ᔠ"-2x>-4,#"x<2,z={Ḅ#a

12¢⚪ᑖ᪆ᵫBCḄᚖ9kᑖ¤¥ABgID,@"CD=BD=6,¦ᵫ=E§=:@8"NBCDḄAᦪ¨©8"NADCḄAᦪᑣ@ᑨY«ACDF=Ὺ;:<¨©8"Kᫀ.¢⚪#᪆...BCḄᚖ9kᑖ¤¥ABgID,.*.CD=BD=6,.,.ZDCB=ZB=40°,:.ZADC=ZB+ZBCD=80°,.,.ZADC=ZA=80°,.AC=CD=6,.♦.ADCḄᕜAD+DC+AC=2+6+6=l.ὃI1.¤®ᚖ9kᑖ¤Ḅឋ72.=Ὺ;:<ḄᑨY¯ឋ7.;ஹ#K⚪(ᐳ8⚪ᐳ72ᑖ)17>(1)±²³`´ᵬ¶³·X²³`´¸¶³·ᑖ¹◤⌕15ᑖஹ20ᑖ(2)জ600-2஺ঝaq.4ூ᪆௃(1)²³`´ᵬ¶³·X²³`´¸¶³·ᑖ¹◤⌕xᑖஹyᑖ᪷c@"²³10´ᵬ³·10´¸³·ᵨ,350ᑖ²³30´ᵬ³·20´¸³·ᵨ,850ᑖᑡl¾8#(2)জ᪷c²³`´ᵬ¶³·X²³`´¸¶³·ᑖ¹◤⌕Ḅ,-ᐵ¿ᓽ@⊤ÀÁঝ᪷c“±DᨴÄḄÅÆÇg1500ᐗ”ᓽ@ᑡ={.ூ௃(1)²³`´ᵬ¶³·◤xᑖ²³`´¸¶³·◤yᑖᵫ⚪m"10^+10y=350,30x+20y=850'"x=15#uvl¾",[y=20K±²³`´ᵬ¶³·X²³`´¸¶³·ᑖ¹◤⌕15ᑖஹ20ᑖ(2)জ•.•²³`´ᵬ¶³·◤15ᑖ²³`´¸¶³·◤20ᑖ...`,²³ᵬ³·4´²³¸³·3´ᡠʱDᨴIJ³¸¶³·Ḅ´ᦪ3(25x8-q)=600—a443ঝË⚪m1.5a+2.8(600--a)N1500,41680-0.6a>1500,#"a

13ூ௃g⚪ὃOᐗKÔ'®ÕḄ¯ᵨஹKᐗKÔ·{)Ḅ¯ᵨ1ᳮ⚪±×Ø⚪,Ḅ{ᐵÌᑡF'®Õஹ·{ᐵÌᑡF·{)⚪Ḅᐵ/.18ஹ--0,7x>-2·{)?2K7x<0,23ᑣ·{)ÕḄÚ*--

14.\AB2=32+(AB-1)2,#"AB=5(2)ÌPÍPF_LBQgF,.120.\BF=-BQ=—,29.,.PBF^AABE,.PBBF••=9ABBE20:.PB_g,•\PA=AB-PB=—,9ÌPÍPG±CDgG¥AEgM,.•.GM=AD=1,VDC±BC.♦.PG஻BC/.APM^AABE,.APPM..=-----,ABBE20:.~9PM,.,.PG=PM+MG=—=PB,9.,.ᙊP¯9¤DCÏᑗ.ூIN௃P⚪ὃST9¤¯ᙊḄÑÒᐵ¿G<ḄᑨYXឋ7ÏÓ;:<ḄᑨYXឋ7wÔḄÍÕÖ¤F#⚪Ḅᐵ].20ஹ×1Øᱥ¤#᪆{y=-x2-4x+12,⚔Iᙶ᪗×-2,16
2জm=2gᡈm=-2ÞঝmḄ¡ßà.

15ூ᪆௃ᑖ᪆(1)áIA(2,0)âᐭØᱥ¤y=-x2-4x+cH8"cḄ¡ᓽ@"Øᱥ¤Ḅ#᪆{᪷cØᱥ¤Ḅ#᪆{8"Øᱥ¤Ḅ⚔Iᙶ᪗ᓽ@(2)জᵫB(m,n)ᙠØᱥ¤å@"-n?-4m+12=n,ᵫIBᐵgzIḄ§æIC,@"ICḄᙶ᪗(-m,-n),¦çCèᙠØᱥ¤å@"-m2+4m+12=-n,ᓽn?-4m-12=n,ᡠÊ-m2+4m+12=m2-4m-12,#l¾8"mḄ¡ᓽ@ঝé[IC(-m,-n)ᙠ_D!▲@"-m>0,-n<0,ᓽmVO,n>0,ᵫØᱥ¤⚔Iᙶ᪗(-2,16),ᓽ@"0VnW16,çIBᙠØᱥ¤åᡠÊ-n?-4m+12=n,m2+4m=-n+12,ᵫA(2,0),C(-m,-n),@"AC2=(-m-2)2+(-n)2=m2+4m+4+n2=n2-n+16=(n-—)2+-^-,24ᡠÊën=1,AC?ᨵᨬ¡ᓽ-n?-4m+12=5#l¾8"mḄ¡ᵫmVOᓽ@ÔYmḄ¡.22y#(1)I•Øᱥ¤y=-X?-4x+cìÌIA(2,0),-4-8+c=0,ᓽc=12,.•.Øᱥ¤#᪆{y=-x2-4x+12=-(x+2)2+16,ᑣ⚔Iᙶ᪗(-2,16)(2)জᵫB(m,n)ᙠØᱥ¤å@"-n?-4m+12=n,•••IBᐵgzIḄ§æIC,••C(-m,-n),VCèᙠØᱥ¤å-m2+4m+12=-n,ᓽm2-4m-12=n,#"-m2+4m+12=m2-4m-12,#"m=2«ᡈm=-2^/3ঝ..•IC(-m,-n)ᙠ_D!▲-m>0,-n<0,ᓽmVO,n>0,•••Øᱥ¤⚔Iᙶ᪗(-2,16),/.0

16n=5AC?ᨵᨬ
2-m2-4m+12=~,27ïa⌹2_.•.muMq·ᔠ⚪±õö2ᑣmḄ
*÷ø.2g⚪OÔÅᦪùᔠ⚪J(1)Ëú*ûᓫJ(2)Ë᪷iB(m,n)ᐵrḄ³C(-m,-n)ᙳᙠOÔÅᦪḄAa¡ᐭ>ᓽDÆFmḄ
ᓽD(3)12FAC?nÿḄᦪᐵᑭᵨᦪḄឋn=LAC?ᨵᨬᙠmḄᓽ.221ஹপ!᪆ফBC=/5ூ᪆௃(1)AB#஺஺Ḅ%&NADB=90஺'()NBAD=NDBC,ᓽNABC=90஺ᓽBC#஺஺Ḅᑗ+,BeCD(2)-ABCsaBDC,ᑣ——=——ᓽ)BC=Ji6.CABCூ௃(1)...AB#஺OḄᑗ%&.••ZADB=90°,2•.,/BAD=NBED,ZBED=ZDBC,.*.ZBAD=ZDBC,:.ZBAD+ZABD=ZDBC+ZABD=90°,:.ZABC=90°,...BC#஺OḄᑗ+,(2)3NBAD=NDBC,NC=NC,.,.ABC^ABDC,BCCDஹ:.——=——BPBC2=AC«CD=(AD+CD)«CD=10,CABC-,.BC=ViO.ὃ531.ᑗ+Ḅᑨ7,2.89:;<Ḅᑨ7=ឋ.

1722ஹîïHðÇᨵ`î9ñḄᭆ᳛ூ᪆௃ூᑖ᪆௃à᪛õöᡠᨵ9¶=@ḄÀÁᦪ÷“ðÇᨵ`î9ñ”ḄÀÁᦪᯠ)᪷cᭆ᳛ù{8#.ூy#௃à᪛õú9ûZN/1\A\ú9ûú9ûú9üᐳᨵ9¶=@ḄÀÁᦪᐸHîïHðÇᨵ`î9ñḄÀÁᦪ5,ᡠÊîïHðÇᨵ`î9ñḄᭆ᳛.ூIN௃P⚪ὃSTᑡ⊤¯᪛õᑭᵨᑡ⊤ᡈ᪛õöᡠᨵ=@ḄÀÁn,ÿ⌱ᔠAᡈBḄᦪm,ᯠᑭᵨᭆ᳛AᡈBḄᭆ᳛.ᭆ᳛=ᡠᦪᦪ.23ஹ(1)"#$%᪆'(2)4.1.ூ%᪆௃*⚪ᑖ᪆-(1)ᵫBE஻CO,0NOCB=NCBE,ᵫOC=OB,0NOCB=NOBC,12NCBE=NCBO(2)ᙠRSCDO4OD,ᵫOC஻BE,125=64ᵫ7ᓽ1%9:⚪'CEOB*⚪%᪆-(1)"#-•'<£>ᑗ@4AOCIDE,VBE/7CO,AZOCB=ZCBE,VOC=OB,AZOCB=ZOBC,.".ZCBE=ZCBO,AᑖNABE.(2)ᙠRSCDO4VDC=1,OC=OA=6,AOD=^CD2+OC2=10>OC஻BE,/.—=—,,CEOBCE6/.EC=4.1.ὃC-ᑗ@ḄឋE.24ஹ(1)y=F4y=-2x-4(2)1xூ᪆௃(DGCAᙶ᪗JᐭLMNᦪmḄO4PQ2ᑮCAḄᙶ᪗STLMNᦪ%᪆4UGCBᙶ᪗JᐭLMNᦪnḄO4PQ2ᑮCBḄᙶ᪗4ᯠᑭᵨVWXᦪYFZNᦪ%᪆%'(2)[ABx\]^_CC,᪷aFZNᦪ%᪆CCḄᙶ᪗4PQ2ᑮCOCḄbc4U᪷aSAAOB=SAAOC+SABOCᑡᓽ12%.ூ௃m(1)GA(-3,m+1)JᐭLMNᦪef—24Xm—=m+l,%2m=-6,

18m+l=-6+1=2,ᡠ?5AḄᙶ᪗BC-3,2,DEFᦪ᪆By=-XG5B
n,-6Hᐭy=--------=-6,xnn=l,ᡠ?5BḄᙶ᪗BI,-6,G5A
-3,2,B
1,-6Hᐭy=kx+b,3᝕+N=2'k+b=-6Ob=-4ᡠ?Pᦪ᪆By=-2x-42QABRxS8TU5C,V-2x-4=0x=-2,ᡠ?5CḄᙶ᪗BC-2,0,ᡠ?OC=2,SAAOB=SAAOC+SABOC,1,,1P=_x2x2+—x2x6,22=2+6,=1.ὃ53DEFᦪRPᦪḄT5W⚪.