2022-2023学年广东省南部湾经济区中考数学专项突破仿真模拟卷（一模二模）含解析

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2022-2023
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26᪷3BHᑖÉ4BC,OC//AB,SaCBH=^ABH=#CHB,ÓËCH=BC=0A=3ÔMH=3V2,KH=7vLᙠRtAAKHAH=MNHTHBA,ᓽ?Õ=Ö=ᓧ=NHMH3v2V57R⚪ὃTᙊḄ¢ᔠᵨÙZᙊᑗḄᑨ¨ஹÚÛyḄᑨ¨6ឋYஹÜݨᳮ¥¬⚪ḄᐵmjÞßஹ᪀⌼ÚÛyáᡠ<ãḄªäᓄ
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272022-2023
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352022-2023
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'3=ah'3D.a6^a1=a4ூᑖ᪆௃()ᑭᵨᔠ;Z⚗2ᑣḄV12ᑣஹZᦪḄ◀212ᑣஹᓫ⚗Wi⚗W12ᑣ@Aᫀ.B4ஹ+°5=205,ᦑ⌱⚗5ᔠ⚪Bஹ-3=-3a-3b,ᦑ⌱⚗5ᔠ⚪Cஹ-3=ᨌ3/3,ᦑ⌱⚗5ᔠ⚪Dஹa6^a2=a4,ᦑ⌱⚗ᔠ⚪.ᦑ⌱D.5.ᵬஹ¥¦M>?§╔©ª«Mᔜᢗ6®¯°Ḅᡂ±᝞⊤ᓫ²:ᵬ6,7,8,8,9,9¥5,6,x,9,9,10᝞"¦MḄ©ªᡂ±ḄIᦪl´µ¥Ḅvs®ᡂ±xv45⚓/·69⚓

45A.6²B.7²C.8²D.9²ூᑖ᪆௃᪷PIᦪḄ^¹⊤IᦪPᓽ»Aᫀ.B᪷P⚪»@ᵬḄIᦪ¼½=8,2ᵫ¿¦MḄ©ªᡂ±ḄIᦪlᡠ¥ḄIᦪ8,8=(9+x)4-2,ᡠx=7,ᦑ⌱B.6.᝞nÁ48CÂ8cḄÃX/ÁÄ஺RÂ஺ÆḄÃXV2ᑣᨵ()C.h\>hD.Éᨵ»Ê2ூᑖ᪆௃ᑖËÌAÁZBCÂḄÃXᓽ=ÁPQRÂ0?ḄÃXPEᓽ©Íᑭᵨ┦ÏsÏÐᦪᑖË⊤UAÑÒᓽ»⌱Aᫀ.B᝞nᑖËÌAÁNBCÂBCḄÃXZOᓽ/ÁP0RÂQ?ḄÃXÄEᓽÓ,v46⚓ᐳ69⚓

46ᙠRtZ\/DCI/=/O=5Xsin55°,ᙠRtZXPERI஻2=PE=5Xsin55°,.á|=஻2ᦑ⌱A.7.RãᙊḄឋåæ=çk=èéêë=çì“î(ïðᑖḄñÓk(ïᚖ(”=èì“ᵨlÒéÊ▊õöᎷø⚪”.ᑡᑨúḄA.¦MìḄÉûB.=çìḄû=èìḄlÒ5üᙠC.¦MìḄÉ5ûD.=çìḄ5û=èìḄlÒüᙠூᑖ᪆௃᪷Pᚖï^ᳮᑨúᓽ».Bî(ïðᑖḄñÓk(ïᚖ(ö!ë┯þ¼ñ(ï`ÿᩩᡂ,ᦑ⌱D.8.Ḅᨵ2ᳫ4ᳫᳫ◀⁐᜜ᐸ"ᙳ$%&'(᥎*3ᳫ+ᑡ-.ᯠḄ013A.45ᨵ1ᳫB.45ᨵ2ᳫ647⚓/969⚓

47C.45ᨵ1ᳫD.45ᨵ2ᳫூᑖ᪆௃᪷D.ᯠஹFGஹHIḄᭆKᑖLMNOᓽFQ*Oᫀ.N45ᨵ1ᳫ0ᳫ0.ᯠᦑS⌱⚗Uᔠ⚪(X45ᨵ2ᳫ0ᳫ0HIᦑS⌱⚗Uᔠ⚪(X45ᨵ1ᳫ0ᳫ0HIᦑS⌱⚗Uᔠ⚪(X45ᨵ2ᳫ0ᳫ0HIᦑS⌱⚗Uᔠ⚪(Xᦑ⌱A.9.Z[ᐵ]xḄᐗ`abc/-2X+M=0ᨵd$eḄfᦪ᪷xiiᑣ()A.xi+x2<0B.xix2<0C.%iX2>_1D.xix2<1ூᑖ᪆௃᪷DᑨLwḄ(xQᑮ4=(-2)2-4I>0,NQ}<1,~ᑭᵨ᪷ᦪḄᐵQᑮX1+X2=2,X1X2=ᯠᔜ⌱⚗Mᑨ.N᪷D⚪(Q=(-2)2-4/„>0,NQ"7<1,ᡠXI+X2=2,xiX2—ni

48ᑣ©Ḅ01)#8$%ᩩ'9:;()*+,*A.ªজB.ªঞC.জঝD.ঝঞூᑖ᪆௃জᵫᩩ஺FQᑮ0}cQᑮ0~}1Qᑮ0bজ©ঝᵫᩩ6Qᑮ0}d0®~}c®0bঝ©Xঞᵫ஺6¯FQᑮ0~}cQᑮ0GQᑮ0bঞ©.Nজᵫ஺QᑮdᑖL$eḄ0}cᓽ$eḄ0~}”ᓽ0Ḅ0bᦑজ©XঝᵫbQᑮ$eḄ0}dᓽᨵ0Ḅ0®~}cᓽ$eḄ®0bᦑঝ©XঞᵫaQᑮdᑖL$eḄ0}bQᑮ--$eḄ°0~}cᓽ$eḄ0GQᑮ0bᦑঞ©Xᦑ⌱C.11.±²+ᑡ᪛´ᑖᩜḄ¶·¸¹6஻¸᪛´ᦪᵨ»⊤½ᑣ¾9-¿=13649⚓/969⚓

4961¸À=162¸À=363¸Â=764¸&=15A.15X24B.31X24C.33X24D.63X24ூᑖ᪆௃᪷DZ[¸¶·FQY=l+2+22+23+24+25+26+27+---+2n-1,$ÇFQ.nNᵫ⚪(Q61¸H=l,62¸ᓃ=3=1+2,63¸-=7=1+2+22,64¸E>=15=1+2+22+23,69¸r=1+2+22+23+24+25+26+27+28,9.Y-K,=24+25+26+27+28=24(1+2+22+23+24)=24X(3+4+8+16)=24X31.9ᦑ⌱B.12.¸(1),ᙠRt^/BCN/=90°,ÔP&Ô/*Ö×ḄIe”?/ÚḄÛÜ⌮Þ┐àáᕜ¸(2)0ÔãàáÞäå”2ḄæÜy(cm)Hàáèéx(Ú)êᓄḄᐵ¸ìᑣ¸(2)íÔḄᙶ᪗0()650⚓ᐳ69⚓

50A.(13,4.5)B.(13,4.8)C.(13,5)D.(13,5.5)ூᑖ᪆௃¸123Ḅ¸ìᨵåðñ¸113ḄäåBC,AC,ᡠ/8=8,BC=10,òx=13ÞᑣãÔ-8CḄÔ᪷DóôḄäe]óḄõ,öQ÷Þ“ãḄæÜᓽ¸123ÔãḄùᙶ᪗y.Nᵫ¸ìF[AB=8,8c=18-8=10,òx=13ÞᓽÔàáú13>8,...÷ÞÔãᙠäå8cô8P=13-8=5,ᑣãÔ-BCḄÔûᵫ]N/=90°,ᡠ4P=JL8C=5.2ᡠ¸123ãḄᙶ᪗-113,53.ᦑ⌱C.`ஹüý⚪Sᜧ⚪ᐳ6¢⚪ÿ⚪3ᑖᐳ18ᑖ஺ᫀᙠ⚪ᓱḄ஺13.4Ḅᦪ-4.ூᑖ᪆௃᪷⌕"#$%Ḅ&'ᦪ()ᦪ*+,'ᦪḄᦪ.-.4Ḅᦪ-4,ᦑ-4.14.8Ḅ23᪷2.ூᑖ᪆௃ᑭᵨ23᪷Ḅ789:ᓽ*+ᑮ=>.-.8Ḅ23᪷)2,?51⚓/C69⚓

51ᦑ2.GḄ-15.3Fx~l2x~2ூᑖ᪆௃ᑖH3FIᑖJKᓄ)᦮H3FNO᦮H3FḄ-+ᑮxḄPQRSᓽ*+ᑮᑖH3FḄ-.-.IᑖJ+.2x—l,2RS.TU=WX2(x-1)NO,2...ᑖH3FḄ-)x=L.2ᦑU=W16.᝞Z[\]^_`aa3ᔣḄcdᵬஹgh%Xjk\]ᔜmn,o73ᔣpqᵬஹghrXᑖspq12ctu16ct1Xv&ᑖs_`w48ᜐyz20ct᝞>{⍝ᵬnᓅ~40஺3ᔣpqᑣgnᓅ~a50°3ᔣpq.ூᑖ᪆௃᪷⚪ᓽ*{40=12,8^=16,AS=20,ᑭᵨ7ᳮḄ⌮7ᳮ*ON4^8ᵫᵬnᓅ~40°3ᔣpqᓽ*OgḄpq3_.-.ᵫ⚪*{.4P=12,8P=16,48=20,,.,122+162=202,?52⚓ᐳ69⚓

52...ᙠ8,AZAPB=90°,ᵫ⚪{g4PN=40°,:.NBPN=90°-NAPN=90°-40°=50°,ᓽgnᓅ~a50°3ᔣpqᦑᓅ~a50°.17.᝞ZNBCῪABciO,8C஻xy=K/,B&w,Xw஺C0஻y`w஺SA8CQ=8,ᑣᦇḄP3.ூᑖ᪆௃w44E஻᜛5cwE,w4(a,K)ᑣ8(-a,-8),*⊤£Oaa8cu஺CḄSA88=4.BCCD=8,ᓽ*NOᡃḄP.-.w4NE஻᜛BCwE,w/(a,K)ᑣ8(-a,-),aa?53⚓/C69⚓

53:BE=2a,V,N8CῪ8C஻xCD//y^,.BC=4a,/.wDḄᙶ᪗)3a,...wDḄ¦ᙶ᪗)W3a.•.8=ᓰ=^,3aa3a,.,SBCD=y-BC-CD=8'A.1.4kW4a•=8o:k=3,ᦑᫀ)3.18.᝞Zᙠ®¯/8CDE°±²³´஺AE,AC,DF,DB,4C
BDஹM,AE
DFN,MN
ADஹ0,ᑖsµ¶ZB,0c`wG,ᨴ8=3.ᨵ¹º=».@MNVAD]2XMN=2y/3ঞAD4GḄ½¾ஹᑁ¾À᜜¾ᙳw“টÅᱥ8Çw஺⌮X┐ÉK30°ÅZ80E½ᔠᑣ,ᑗ®Ì=»ḄÍ#জঝব.?54⚓ᐳ69⚓

54ூᑖ᪆௃জ®Ì.ÑÒÅÓᓽ*.ঝ®Ì.ÑÒ£)•NODMᓽ*.ঞ®Ì.ÑÒZOGᓽ*.ট┯Ö.×ØÅFACDÇw0⌮X┐ÉK60°ÅNBDE½ᔠ.-.᝞Z±²BE.ᙠ4FNu£>£'*ZAFN=ZDEN=90°

55Å4åNÓᦑজ®ÌVZEDF=ZBDC=30°,ZEDC=120°,NMDN=60°,•:DM=DN,..MN=DM=—ᔩ_=1=2«,ᦑঝ®Ìcos30V3~2~VZDAB=ZADC=60°,./\ADG,DB1AG,ACLDG,...wMZOGḄ½¾ஹᑁ¾À᜜¾ᦑঞ®Ì■:NDOE=60°,...Åᨴ1CZ
Çw஺⌮X┐ÉK60°Å/30E½ᔠᦑট┯Öᦑজঝঞ.ஹ-⚪.èᜧ⚪ᐳ8⚪êᑖᐳ66ᑖ஺-×ᑏOÑÒFᡈí:îᳮïð×Ḅᦻò▊Òôõ-ᑏᙠ⚪ᓱ஺19.6ᑖô9:.Vl6+ï4-n
°+-1
-1-6sin30°.ூᑖ᪆௃²ᑭᵨ:ö÷3᪷¹ÀøᢣᦪúḄឋüஹý᦮ᦪᢣᦪþḄឋüஹḄÿᦪ
ᑖᓄᫀ.=4+1-1-6X—256⚓ᐳ69⚓

56=4+1-1-3=1.20.6ᑖᐜᓄ!
a-2+#,ᐸ&஺()*+,ᦪ-=.Ḅ01ᑖ2a|a|x56ஹ81▲.ூᑖ᪆௃᪷>⚪@“<0,ᑣ|a|=-a,ᯠEFᑖa-2+#+G1?IJKᓄᓽMa|a|!ᡠ!OḄ
.)*+,ᦪy=ᒹḄ01ᑖ256ஹ81▲X'|஺|=-a,Q-2+#ja#2a|a|=a-l2.-aaa-12=-1.21.8ᑖ᝞0ᙠ[N8C&஺ᙠNC^DE//BC,DF//AB.1!_XDFCsXAED2`஺=c,!SqPESfḄ
.3SAACTS57⚓/j69⚓

57BCூᑖ᪆௃(1)ᑭᵨ⚪p&qrsKtuᑮqwxyz{ᓽM!_[஺|Cs[~a(2)ᑭᵨ⚪pᩩuᑮ[ZEOḄ*ᓽM!”•Ḅ
.SAAED(1)_"DF//AB,DE//BC,.4DFC=N4BF,NAED=ZABF,.NDFC=NAED,m,DE//BC,.NDCF=NADE,./\DFCsXAED(2)"CD=—AC,3.CD1="DA~2ᵫ(1)[஺CḄ*=#DA2ᦑ:$:()2=(1)2=1.^AAEDDA2422.(8ᑖ)2021&100ᕜ.“f”E᪥r¢£¤¥ᐜ¦§¨100ᕜ©ª«££ᐜ¦x¬©Ḅ®¯°±᪥²³´µ£¶ᑖ·¸Ḅᡂº»58⚓ᐳ69⚓

58᪵½Fᡂºᢥ¿ÀÁஹᔠÁஹÃÄஹ8Å{¥ᑖJKÆÇÈÉᑴ£᝞Ë¿ÌÍḄᩩÎÆÇ0ÏᡧÎÆÇ0Ñ᪷>0&ÒÓḄÔÕËᑡᡂº1᪷>×ḄÔÕØÙqÅÆÇ0⊡ᐙÌÍ¿ÜᑏÇÞßà2á᪥¤¥ᨵᐜ¦650ãÑäÇᡂºåæᑮ“ÃÄ”Àç^Ḅᨵèéãê3“”ᐜ¦&ᨵᵬஹìஹíஹî82·¸⊤ðñðò&ó2㧨ô¥*«!´ᑮᵬஹìqãḄᭆ᳛.ூᑖ᪆௃1ᵫ“¿ÀÁ”Ḅᐜ¦ãᦪ◀çᡠᓰùᑖ*ú´µḄãᦪᓽMᜐᳮᡂº2ᵫá᪥¤¥ᐜ¦ãᦪýçᡂºåæᑮ“ÃÄ”Àç^Ḅᐜ¦ᡠᓰḄùᑖ*ᓽM3þ᪛
ᐳᨵ12ḄᑮᵬஹḄᨵ2ᵫᭆ᳛ᓽ.:1!"Ḅᐜ$ᦪ&'2+5%=40!ᑣ0ᑮ“23”Ḅᐜ$ᦪ&'40X40%=16!0ᑮ“ᔠ8”Ḅᐜ$ᡠᓰḄ;ᑖ=&:104-40X=25%,0ᑮ“”Ḅᐜ$ᡠᓰḄ;ᑖ=&'12+40X=30%,ABCD
⊡ᐙGH᝞J'K59⚓/O69⚓

59(2)650X(5%+25%)=195(),R'SDᡂUV0ᑮ“23”WXYḄᨵ195Z(3)[᪛
᝞
']^ᵬ_`/4\/T\/T\/N_`ᵬ_`ᵬ`ᵬ_ᐳᨵ12ḄᑮᵬஹḄᨵ2,...ᑮᵬஹḄᭆ᳛&2=a.12623.(8ᑖ)᝞
஺஺defN8CḄe4C,N8ᑖijkl஺E,4Enopql஺rDFLBC,F.(1)s'஺tn஺஺ḄᑗvZ(2)wxEF,zEFn0஺Ḅᑗv{஺஺Ḅ|prdef/BCḄe஺Ḅᦪᐵ.K60⚓ᐳ69⚓

60cூᑖ᪆௃(1)wo஺᪷ᩩneᑭᵨ=ᓽs0£>஻8C,ᓽNZ)FC=NO஺t=90°,ᓽsZ(2)ᵨᨵ஻,•Ḅᑖi⊤BE8tḄ᪷Bt=28Eᑡᓽᑮrd஺Ḅᦪᐵ.(1)s'wOD,᝞
ᡠ'VZDAO=60°,OD=OA,:.ADDAne.ZODA=ZC=60Q,J.OD//BC,mHNDFC=90",.ZODF=90°,K61⚓/O69⚓

61.OD±DF,ᓽ஺tnOOḄᑗvZ(2)¢|p&r,efNBCḄe&°,ᵫ(1)'AD=r,ᑣCD=a-r,BE=a-2rᙠRtZkCFD«ZC=60°,CD=a-r,•,c/?=y(a-r),.BF=a--i-(a-r),°n஺஺Ḅᑗv...fFEBno±NB=60°,NEFB=3Q°,H.BF=2BE,.'.a-—(a-r)=2(a-2r),2²'a=3r,ᓽJ..•஺஺Ḅ|prdefZBCḄeaḄᦪᐵ&'ᔆ=a&.324.(8ᑖ)¶·ᜐᳮᔆᑭᵨº»¼$Ḅ½¾ᵯ.ᨵ4,8Bº»᮱ÁBº»᮱Áᜩº»ᙳ&100ᔴÁº»ÅᔴAº»᮱=Bº»᮱ƾᵯ50o4,Bº»᮱Áᜩᐳ¾ᵯ55000Ç.(1)º»ÅᔴȺ»᮱8º»᮱ᔜ¾ᵯÆÊÇËK62⚓ᐳ69⚓

62(2)ÌᦋaÎdᦋaÎÏÐ=Áº»Åᔴ/º»᮱8º»᮱Ḅ¾ᵯᑖiÑÒa%2a%,ᑣ/,8º»᮱Áᜩᐳ¾ᵯÓÊÑÒ(5+a)%,”ḄᨬÕÖ.ூᑖ᪆௃(1)¢º»1ᔴ/º»᮱¾ᵯÒÇ8º»᮱¾ᵯ"Ç᪷“Áº»ÅᔴAº»᮱=8º»᮱ƾᵯ50ÇA,8º»᮱Áᜩᐳ¾ᵯ55000Ç”ᑡØÙÚRᓽZ(2)᪷⚪ܲᦋaÎÝÁº»Åᔴ4º»᮱¾ᵯ300(1+a%)Çᑣ8º»᮱¾ᵯ250(1+2஻Þ)Ç᪷48º»᮱Áᜩᐳ¾ᵯÓÊÑÒ(5+a)%Åᐗàᓽ.'(1)¢º»1ᔴẻ᮱¾ᵯâÇ8º»᮱¾ᵯ”Ç᪷⚪ܲ'[m-n=50,1100(mW)=55000²(m=300,ln=250R'º»1ᔴẻ᮱¾ᵯ300Ç8¾º»᮱¾ᵯ250ÇZ(2)ᦋaÎÝÁº»Åᔴ4º»᮱¾ᵯ300(1+a%)Çᑣ8º»᮱¾ᵯ250(l+2a%)Çä⚪Üᨵ100X300(1+a%)+100X250(l+2a%)>55000(1+(5+a)%],᦮ᳮ²5aè55,²a/ll,.aḄᨬÕÖ&11.25.(10ᑖ)᝞
ᙠéeZ8CD«êv/Cd8DjklO,O/=OC,OB=OD,ql஺rE/JL8O,ᑖij48ஹDC/E,F,wx஺E,BF.(1)s'éeᔆnì'(2)¢4D஻E£AD+AB=\2,8£>=46aîḄ.K63⚓/O69⚓

63ூᑖ᪆௃(1)ᐜ᪷êvïÐðᑖs²ée/BCD&ðñéeᙠs²fOOFgABOE,ò²ᑮ஺t஻BE,DF=BE,²ᑮée஺E8F&ðñée᪷êvïÐᚖoḄðñéenìòs²ôZ(2)qltrtG_L/BklG,᪷õö÷ᳮ²40ஹḄÇò²ᑮ//3஺=30°,᪷ìឋù²ᑮaBEt&e᪷õö÷ᳮAGGFḄÇ᪷õö÷ᳮ/tḄ.(1)s''HOA=OC,OB=OD,ée"BCD&ðñée.AB//CD,.ZABD=ZCDB,ᙠfBOEf£>(?t«,ZABD=ZCDB,ZBOE=ZDOF.BE=DF,'BE//DF,...ée஺E8tnðñée■:EFLBD,...ée஺E8FnìZK64⚓ᐳ69⚓

64(2)qltrFG_L/8klG,᝞
,'AD//EF,EFLBD,.ZADB=90°,...ᙠRtZ\Z8£!«AD2+BD2=AB2,'/AD+AB=\2,BO=4%.AD2+
4;!2=
12-AD2,²/D=4,/B=8,.•.480=30°,•.•ée஺E8ᔆnì.ZEBF=2ZABD=60a,.♦.f■BEtne'OB=OD,EF//AD,.AE=BE=4,,CFG1.BE,.EG=BG=2,ᙠRtZ\BGt«BF=4,BG=2,᪷õö÷ᳮ²FG=^2_2^3,42=2K65⚓/O69⚓

65ᙠRtZk/GF«AG=6,᪷õö÷ᳮ²22=22=4—=VAG+FG76+2V3!^26.12ᑖᱥy=ax2-3ax-4aa>0x/,B/ᙠBḄ⚔D.14,BḄᙶ᪗$ᱥḄ%&'2()y=--ᱥ.N,/M,Nᐵ.3%&ᱥḄ4᪆6;3᝞:;2<Ḅᱥᔣ>?@ABCḄᱥḄ⚔ᙠ)/y=D>8F)/yḄ஺'3ᱥ>ḄP?@JḄ%K0,(O'P=O'Q,M0Ḅᙶ᪗.ூᑖ᪆௃1᪷Q᪗⚪STḄ4᪆6U)VT4B,஺Ḅᙶ᪗'2ᐜFTᵨNḄYᙶ᪗᪷Q3%&ḄᱯᑡTᐵ.஺Ḅ6\TᓽU'3ᐜ᪷Q⚔Ḅ^ᓄ`aᑏT?@JḄᱥḄ4᪆6ᯠJFTMḄᙶ᪗x,y,᪷QO'P=O'஺ᑡTᐵ.xḄ6\dTxᓽUTM0Ḅᙶ᪗.41ey=0,ᑣᨵa/-3ax-4a=0,h66⚓ᐳ69⚓

66ᓽx2-3x-4=0,4Bxi=-bX2=4,.A(-1,0),B(4,0),%&)x=±l=3,22(2)FkḄYᙶ᪗xi,NḄYᙶ᪗X2,y=ax2-3ax-4a᪷Q⚪lB3y=7xᓽax2-(3a-|-)x-4a=0,mM,Nᐵ.3%&,------------=0*a.a=—,2(3)•ynx2oᱏ2=D6o)2_ry22228ᵫ⚪lBᔣ>?@JḄᱥ4᪆6y[(J-)2+l,x228.♦.ᱥᔣ>?@tuvᓫxh67⚓/y69⚓

6722FP(x,-^--1--2)>ᑣQ(x,y-1-+2)>XXXxᵫ⚪lB஺'(0,1)8'O'P=O'Q,.12Tx4+2=2X/4B=nJ_,X12221(x2ᑣM~-2=ᔁ242.P(a02828(BᑣM-2-%2="g)-yX(y)-2=^.723755p2828>P,2-Fᡈ஺h68⚓ᐳ69⚓

68h69⚓/y69⚓