2022年广东省佛山市南海区中考数学三模试卷（含解析）

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2022
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17...........Oo(2)ᡠpqᕒstuvSḄKwᦪxᙠefB.......ᦑᫀ/Bz.......(3)900x(30%+20%)=450(b),郝郑..}~ᨵ450bᐜ⌱ᐳᓫ...........(1)ᵫj@kBM⍝efḄᨵ56bᓰaFbᦪḄ35%,BIPaFbᦪ[I..........P஺efᡠᓰḄcᑖd+BefḄcᑖd'IP8efḄbᦪ⊡ᐰᩩij@kஹ......oOᡧij@kKBஹ஺ᡠᓰḄcᑖd.....(2)4efᓰ35%,BefḄᓰ20%,ᑮKwᦪxᙠ50%Ḅ*xᙠ8..鼠....(3)᪵C@᪵CK“ᙠ3cxW9ᓟᓰ(30%+20%)”@KḄᓰ50%,...蒯.[IPbᦪ.笈氐C⚪ὃFᩩij@kஹᡧij@kḄᱯᑴ¢j@kK£qᦪ¤+ᦪ¤.....£-.......¥¦Ḅᐵ¨©ª⚪Ḅᐵ«᪵C@¬j@KᵨḄ...郑.............氐.o20.ூᫀ௃(1)®¯iBEDF/°\®¯i.O..ᳮᵫ᝞t.热....•••®¯iABCO¬°\®¯i...祖.AD=BC,AD//BC...期堞邮³Z-DAC=!ACB.......ᙠ´4FD+´CEBK..氐........AF=CE.....姆.!DAF=!BCE,....冰..AD=CBOo/.´i4FD=ACEB(SAS),......ADF=BE,Z-EFD=Z.BEC......•DF//BE...®¯iBEDµ/°\®¯iz氐S.(2)vBEJ.AC,BF=10,BE=6,.......EF=y/BF2-BE2=8........-AF=CE,...o0•AE=CFOf...¶AE=CF=x,ᑣ4c=2x4-8,CE=%+8,.....¸18⚓ᐳ28⚓....

18BC2=BE2+CE2=62+(x+8)2=x2+16x+100,AB2=BE2+AE2=36+/,•••®¯iABC஺¬ºi•••4ABC=90°,AB2+BC2=AC2,x2+36+x2+16x+100=(2x+8)2,4x=-2V13-4(»)ᡈ¼=2^13-41•••CF=2V13-4.ூ᪆௃(1)᪷9°\®¯iḄO¯½e¾°\B44D=BC,^DAC=/.ACB,¿À´AFDwaCEB^DF=BE,^EFD=!BEC,9:DF஻BE,[4®¯iBEOµ/°\®¯iz(2)ᵫÁÂÃᳮI4EF,¶CF=Ä'ᵨÁÂÃᳮ⊤oBCஹAB,ᙠRtAABCKᵫÁÂÃᳮᑡPxḄSÇB4.C⚪ὃF°\®¯iḄÈCឋÊᑨúiḄឋÊᐰ☠ÍÎiḄឋÊÏᑨÃÁÂÃᳮÐÑ-ᵨ°\®¯iḄឋʬ©⚪Ḅᐵ«.21.ூᫀ௃(1)ᵫ⚪BMḄÒᙶ᪗/1,!x=1>ᐭy=3%4y=3,•••4(1,3),:Öd×Øᦪy=>0)ḄkÙÚR4fc=1x3=3,3•,y=7•B(L0),BC=2,AC(3,0),!¼=3>ᐭ4y=1,:.M(3,l).(2)¶4(?n,3m),

19::••OO............熬郑............•®¯i48co/ºi............ABO=ᓃBAD=90°,....OOvAM10Af....•OAB+ᓃBAM=DAM+ᓃBAM=90°,.鼠...••Z-OAB=Z.DAM,...蒯.•.OBA~XMDA,III-DMADunDM2--=--,ᓽ--=---,OBABm3m.£-.....4DM=I郑......³Mᙶ᪗/(m+2,3m-1),feOO•A,MìᙠÖd×ØᦪkÙ.热.....•3m•m=(m+2)(3m—|),.祖.....4m=i4,蒸邮堞....•••Aᙶ᪗/G3)......氐.......ூ᪆௃(1)ᵫïð᪆I44Ḅᙶ᪗ᓽB᪷9ñèᦪI4Öd×ØᦪḄ᪆.....姆....冰.!MḄÒᙶ᪗>ᐭᓽBI4MḄᙶ᪗z..OO(2)¶4(⊈,3⊈)ᵫAM_L஺4^BAD=90°WAOBA^LMDA,B4mḄJ......[I.....C⚪ὃFÖd×ØᦪÏõöØᦪḄ÷ª⚪⚪ᐵ«¬øùñèᦪIØᦪ᪆,..øùÖd×ØᦪḄឋÊøù½úÍÎiḄᑨÃឋÊ.氐S..........22.ூᫀ௃(1)¶ûüýþÿḄ
XᐗᑣᜮḄ
(x+50).......ᐗ...Onp-TV.40003000O⚪^=—.....x=150,....!20⚓ᐳ28⚓...

20+,-x=150./0Ḅ■1•x+50=200,3456Ḅ
150ᐗᑣᜮ200ᐗ7(2)89:;ᑜ=
456>ᜮ(200-?)@ḄᑭBwᐗᑣ⚪w=150x18%m+200x15%(200-m)=-3m+6000,ImJKLMᩩO:PQR,133WznW200,Vk=-3<0,ᡠZw[mḄ\ᜧ^_`ᦑbm=134d@ḄᑭBᨬᜧIᨬᜧᑭB5598ᐗᦑKᖪ9JK=
456134ᜮ66.ூ᪆௃(1)88456Ḅ
xᐗᑣᜮḄ
Q+50)ᐗ᪷mᦪo=p+ᓫrᔠᵨ4000ᐗ=
Ḅᜮuᵨ3000ᐗ=
Ḅ456ᦪov᪵xᓽz{ᐵ}~Ḅᑖ/0+,-ᓽz{r7(2)89:;ᑜ=
456mᜮ(200—m)z%!ᵫஹᨵ1331

21..........:.Z.ADF=!DFA,OO..4஺=/F=4஺+஺µ=5+3=8,....•AD=AF=8,....vZ-ADF=!AFD,Z.ADF=!FBE,Z.AFD=!BFE,....♦!BFE=!FBE,郝郑..:.BE=EF,..........ᵫ(1)¶!A=2(BDE=cBOF,..........v!BED=Zi4,......OO•Z,BEF=!BOE,....v!FBE=!OBE,.鼠...•••.BEF~>BOE,...蒯.EFBF•••-9笈氐OBBE..EF10-8...£-.■,w=·........郑..EF=Vio...........ᦑEFḄ¸“U..氐.OOூ᪆௃(1)OE,✌ᐜ{»ABDsaOCE,
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22BPC=GPC,vBECG,:.BE//PG,•GPF=PFB,•BPF=BFP,•BP=BF,•BEC=90°,•AAEB+Z.CED=90°,•Z,AEB+ABE=90°,•Z.CED=Z.ABE,v/.A=AD=90°,ABEsADECtABDE•=,AECD8AE=X,•DE=25—x,1225-x•v=---,x12~=9ᡈ%=16,vAEGCP,EFCECF:.=—=—,PGCGPC8BP=BF=PG=y,.15-y_20y-25*y=y•BP=Ù3EF=BE-BF=15-=33

23........20CFEFu4,•77=77='zT=OOrLru—□3..(3)᝞ÛFG,........郝郑..............Û3........••zGFF=Z.PGC=90°,......OO:.Z-GEF+Z.PGC=180°,....•BF//PG,.鼠...♦:BF=PG,..蒯•ÜÝÞßÌBPGFàÌ笈I-•BP"GF,...-.£.:.Z-GFE=Z-ABE,.....郑....•••
GEFEAB,.....EF_ABOfe**GF-BE9O..热.•BEBF=AB-GF,...vBE-EF=84,AB=12,.祖...•GF=7,期邮堞:.BP=GF=7........氐...ூ᪆௃(1)ᐜᑨ¿{¤4=NO=90஺AB=DC,ᑨ¿{4E=OE,ᓽz{r;..........(2)ᑭᵨᢚ×Ḅឋ{"GC=4PBC=90,BPC=CGPC,
^ᑨ¿{4GPF=.姆....冰...PFB,{BP=BF,»ABEâ{ãäᑡåæ/0Çãçᜧ`ᓽOO..z{4EஹDE,ᑨ¿{âZiGCP,
^Ç{PB,ᓽz{rè7....(3)ᑨ¿{{8E•EF=48•GF,ᓽz{rè.....⚪Î⌕ὃÓÌḄឋᐰÊËÌḄᑨÅឋÉÊËÌḄᑨÅឋᢚ×氐Ḅឋᑭᵨ/0Ḅêëìí⚪⚪Ḅᐵ.S...................OO.......!24⚓ᐳ28⚓...

2425.ூ3ᫀ௃(1)᝞Û1,8îᱥÑuxðḄñvÙÔ1ᵫòóឋ£>(3,0),8îᱥÑḄ᪆y=a(x-l)(x-3),ô4(0,3)õᐭ3=3a,a=l,•••îᱥÑḄ᪆7y=x2—4x+3(2)᝞Û2,•••»AOEḄ☢÷ÅøᡠZb»OEP☢÷ᨬᜧdÞßÌ40PE☢÷ᨬᜧ,■28P(7n,m2—4m+3),0EÜᑖ440B,^LAOB=90°,:.!AOE=45°,.•.»AOEῪ¨ËÊËÌ•.AE=0A=3,:.E(3,3),ᑣ0EḄ᪆y=%,úPûPG஻yðÙ0E}ÔG,••G(m,m),:.PG=m-(m2—4m+3)=-m2+5m—3,•••SDE6AOPE=SுAOE+S“OE,=*X3+»G,᩽

25........=—+—x3x(—77i2+57n—3),OO..37,15m=——H---------,..22......v-f<0,郝郑2.......•.bm=|dSᨵᨬᜧøg7..............
3ᑖÞþÿ
........জPᙠḄᙠx᝞3,PMN_LyyM,OO..N,...鼠.....蒯笈I-...-.£......郑.........OfeO..热...••OPFῪ஺P=PF,..祖..ᑣ4OMP=APNF,.期邮堞.OM=PN,......vPm,m2—4m+3,..氐........ᑣ!2+4m—3=2—.....姆....冰."#
='()*ᡈ..7nOO..pḄᙶ᪗.(/,*1......ঝPᙠḄᙠX3..4ᳮ#
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s,.......PḄᙶ᪗.(/*..........ঞPᙠḄ;ᙠX.OO᝞4,PMN1xN,FFM1MNM,.......<26⚓ᐳ28⚓...

26Gᳮ:AONPJAPMF,:.PN=FM,ᑣD+4m-3=m—2,"#
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M=Fᡈ()*PḄᙶ᪗.
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27..........ூ"᪆௃T⚪V7WXᦪMᔠ⚪[⌕ὃ^_7WXᦪḄMᔠ`ᵨᐰḄᑨOOdeឋghi"ᐗ7Wk"<(2)l◤⌕nᵨop"<(3)l◤⌕nᵨᑖ....rstuvwkḄuv"xl⚪.......(1)ᑭᵨឋz#P஺Ḅᙶ᪗ᑭᵨP{z#|ᱥ~Ḅ"᪆{1..(2)P(m,m2-4zn+3),᪷0EḄ"᪆{⊤PGḄᙶ᪗⊤PGḄ᪷☢w郝郑..z#AOPEḄ☢ᑭᵨopz#ᐸᨬᜧ1..........(3)ᑖ᪀⌼ᐰkᓽzPPḄᙶ᪗.................OO.....鼠......蒯.笈氐.....£-.........郑.............氐.OO...热......祖...期堞邮.........氐............姆.....冰..OO............氐S...................OO.........<28⚓ᐳ28⚓..