山东省济南市2021-2022学年中考数学模拟试卷（一模）含解析版

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”ᜧḄAᳫBCD᣸ᳫ⚗!Ḅᐜ#$%&'()*+,-./01ᑖᐜ#34*+567ᑴᡂ:1,:2Ḅ>?:@:ḄABCDEᑡᡂGHI1J@?KLM*+$%“”Ḅᐜ#OᦪQᡠᓰTᑖU34VW>?:⊡ᐙZ[\I2J,-./03_$%“”Ḅᐜ#ᐸᨵ2_ᵱ#1_᝕#def3_ᐜ#gh./2_ᐜ#@ᵨj᪛l:ᡈᑡ⊤Ḅopqrst.ᑮvᵱ#v᝕#Ḅᭆ᳛.2ூDᫀ௃I1J40%\I2J—.ூC᪆௃ூC௃⚪ᑖ᪆HI1JᵨAḄOᦪ◀ᡠᓰḄTᑖUᓽqr*+Ḅᐜ#ᦪHᵨ.+ḄOᦪAஹBஹDḄOᦪqr$%“”Ḅᐜ#Oᦪ◀*+Ḅᐜ#ᦪqrᡠᓰḄTᑖUj:ᓽ\I2JᵨA⊤ᵱ#B⊤᝕#jr᪛:᪷ᭆ᳛()?Kᓽ.⚪C᪆HI1J᪷⚪hH15+10%=150I_J.L⚗*+$%“”Ḅᐜ#Oᦪ\150-15-45-30=60IOJᡠᓰTᑖUH——x=40%,150j:᝞EH19⚓/27⚓

19ᐳᨵ6&'vᵱ#v᝕#Ḅ&'4,42ᑣst.ᑮvᵱ#v᝕#Ḅᭆ᳛v=—63ὃ¦H1.ᑡ⊤p§᪛l:p\2.ᡧ>?:\3.ᩩ>?:.23.ªᓭ¬ᨴ®6¯✏±²³r´Ḅ“µ᪶₢¸”Q“¹º⁤6”ᓫ½ᑖ¾¿ÀᓟÂ26ᐗQ22ᐗ.ÄÅÅÆÇfVÈ6ᐳ30ᓟÂ,ᐳÉ0708ᐗ.@ËÄÅÅÆÇfVÈ6ᔜÍÎᓟÂ?ூDᫀ௃ÄÅÅÆÇ“µ᪶₢¸”12ᓟÂÆÇ“¹º⁤6”18ᓟÂ..ூC᪆௃ூᑖ᪆௃ÄÅÅÆÇ“µ᪶₢¸”xᓟÂÆÇ“¹º⁤6”yᓟÂ᪷ÑÒ¿30ᓟÂ,ÉÓ¿708ᐗroÔÕCrᓽ.ூC௃CHÄÅÅÆÇ“µ᪶₢¸”xᓟÂÆÇ“¹º⁤6”yᓟÂ,x+y=30x=12ᵫ⚪h'HZx+22Ù708'CHÚÛ18DHÄÅÅÆÇ“µ᪶₢¸”12ᓟÂÆÇ“¹º⁤6”18ᓟÂ.24.᝞:ᙠÝÞßÔàá)Ḅá-âãᑮᙠ¦4äå¿30஺oᔣḄÛ¦ᜐᨵᶧêá-ZëḄᱥIíᱥî¿☟ðJ.¿0ñòâóá-ôõᔣöá)0800÷ᑮøB¦ùúã¦Ûᙠ¦8äå¿60஺Ḅoᔣû@ü?Kýá-áþÛḄÿ
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21ூ2ᫀ௃(1)XYZJᦪḄ6᪆b$o3JᦪḄ6᪆b$y=x+lU(2)-32U(3)5.ூ6᪆௃ூᑖ᪆௃(1)᪷=Ar_XYZJᦪḄR\ᑭᵨuvwᦪxKgXYZJᦪ6᪆byBᙶ᪗|ᐭXYZJᦪ6᪆bKgnḄ#~KgJᦪ6᪆b(2)᪷=A?BḄᙶ᪗R\ᱯᓽPKgXYZJᦪ#ᜧ_Jᦪ#xḄ#(3)ᵫA?BḄᙶ᪗KLIHBCḄ10,KLIHABCḄ☢ூ86௃6$প$A(2,3)ᙠyḄR\U.m=6,XYZJᦪḄ6᪆b$y=?VA(2,3),B(-3,-2)`ᙠkx+b,f3=2k+b-2=-3k+b'刀0得kT-1牛n-1:•JᦪḄ6᪆b$y=x+lU(2)ᵫR\PA-32U(3)BCᑣBCḄ3+2=5,*22⚓//27⚓

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AE=^yk,CE=AF=3k,.EF=8k,AE2+EF2=7k2+2k2=9k2,AF2=9k2,ᓽAE2+EF2=AF2.♦.AEFHIHZBEF=90°ZAED=ZAEF+DEF=90o+45°=135°(3)ABF.".MA=—AB=—AD,22AB஻CD,.OM_OAAM''~OD~^C~~DC~2'ᙠRtADAMFDM=4ADஹAM?=J16+4=275.♦.D0=ᑮ13VOF=—3.'.DF=V5ZDFN=ZDCO=45°,ZFDN=ZCDO/.DFN^ADCO.DFDN"~DC~~DO*24⚓//27⚓

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