山东省青岛市2021-2022学年中考数学模拟试卷（二模）含解析版

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ᑖᐜ.ூ^_௃?⚪ὃbc⚣ᦪᑖOPQ3d⚣ᦪ12⊤ᑭᵨ123⊤ghijklmnopqஹᑖ᪆ஹẆs123tuv'wxḄᑨzdᜐᳮᡂ5.18.}ᖪMcᔾc%>Ḅ(᝞3ᙳᒴᑖM20)200ᐗḄᖪugḄ.᝞ᢣ┐w¡¢£¤⁐ஹ¦⁐ஹ§⁐¨©ª«%>ᑖ¬g200ᐗஹ100ᐗஹ50ᐗḄᱥᑶ¯ᱥᑶ%>ᙠ°ᖪ±²ᱥ.᝞6³´ª«%>Pµgᱥᑶ30ᐗ.(1)&gᱥᑶḄᭆ᳛,(2)dPµgᱥᑶ·nM¸¹Qº¢»ᔠ½¾ூKᫀ௃(1)P(gᱥᑶ)=!,(2)⌱Á¢»ᔠ½.2ூ᪆௃ூ௃(1)ᙳᒴᑖM20gᱥᑶḄᨵ10¹³Ã,.•.gᱥᑶᭆ᳛="=2021□ZO(2)ᵫ8¤⁐ᭆ᳛=Æ,¦⁐ᭆ᳛=Ƨ⁐ᭆ᳛=Æ=Æ20202010v40>30Ç⌱Á¢»ᔠ½.19.᝞3ÈÉÊËÌdÍ⍝ḄÏÐ.Ñᙠ3ᜐÒÓÌ⚔A,ËÕÖN8=3F"×ÌḄ19⚓/28⚓

19QᔣÙÐQᔣÚÛ80<ÜÍ⍝Ý஺ᜐßÍ⍝QᔣÒÓÌ⚔ËÕÖNZCE=39°.1
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m,ᙠRtZkABDdRsACDᑖ¬⊤ê'BDdCDḄÏÐᯠ᪷.BD-CD=80m,ᑡ'QÙ&'xḄ),AH2
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BD=--------r-3=—x,tan31°53ᙠRtAACDADVZADC=90°,tan39°=-----,AC20⚓/28⚓

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511•
Æx---x=80,39:x=180.ᓽÌḄÐM180è;(2)ᙠR3ACDZADC=90°,ADsin390=~AC180ADAAC=------ù282.9(m).sin39°nKÍ⍝ACÏçM282.9è.ூ^_௃?⚪ὃbcPÖüÖýḄþᵨK?⚪ᐵ
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)*-/2ᳫᦪ9Ḅ2:ᑡ{vᓽsF@2A~Sᡠ!᪥WX)*y=-/2ᳫ᪷⚪ᑡ0{vᓽs.ூ{௃{@1A~)*<=ᵬ/2ᳫ◤xᐗᑣ)*<=-/2ᳫ◤G+20A,s21⚓/l28⚓

212000\1400=2x-----,x----x+20{x=50,50
Ḅ{.v)*<=ᵬ/2ᳫ◤50ᐗᑣ)*<=-/2ᳫ◤70ᐗ.(2)~Sᡠ!᪥WX)*y=-/2ᳫs50X(1+10%)X(50-J)+70*(1-10%)K2900,{18.75,ᵫ⚪sᨬ?s)*18=-/2ᳫvSᡠ!᪥ᨬ?s)*18=-/2ᳫ.21.᝞¡¢£_¤¥ABCD,ª«ADᑮE,®DE=AD,¯°BE±DC²³஺µ.(1)B¶·BOC¹/XEODF(2)»4ABE¼2½qᩩ¿b¤¥BCED
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£_¤¥Ï◤¶ÁDCLBEᓽs¶Á¤¥BCDE⌕ÀnÒsOD஻AB,ÓÔNEOD=NABE,ᵫks»NABE=90஺bBE±CD,¤¥BCED
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22NOBC=/OEDᙠ·BOCÚaEOD×(3C=DE,Z.OCB=NODEAABOC^AEOD(ASA)F(2)ÃÄ»NABE=90஺bBE1CD,¤¥BCED
ÀVDE=BC,DE஻BC,¤¥BCED
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y=-\x+160.(2)+⊤-.᪆0(3)1Ḅᨴ4050ᐗ2ᨴ307050ᐗூ.᪆௃ூᑖ᪆௃(1)ᑨ6y%xḄ'ᦪᐵ*'ᦪᐵ*7᪷9:*ᦪ;'ᦪ.᪆<.(2)᪷9⚪>?ᵨAᦪ<ḄᦪBCḄᦪᓽ?.E23⚓/H28⚓

23(3)ḄḄᑭLMNCḄOPQᓽᨴ.ூR.௃.S(1)ᵫ⊤Vᦪ9?Wy%x
'ᦪᐵ*Zᐸ.᪆<y=kx+b,3000k+b=100k=-—(3000,100),(3200,96)Aᐭh—,“.Sh50.3200k+b=96lub=160/•y=---x+160.50(3500,90),(4000,80)Aᐭpqᔠ〉.Ay%x&Ḅ'ᦪᐵ*
y=-(jX+160.(2)+⊤᝞xSḄᦪ--x+160CḄᦪ—x-605050Ḅᨴx-150yᑗCḄᨴḄOPQx-3000(3)Z{ḄᨴWᐗ}⚪>?SW=(-150x+160)(x-150)-(x-3000)=(-150x2+163x-24000)-(x-3000)=-150X2+162X-21000=—150(x—4050)2+307051x=40502Wmax=307050,1Ḅᨴ4050ᐗ2ᨴ307050ᐗ23.S᝞1,M,NABᑖᒘᡂAM,MNBBN,AM,MN,BNḄ
yᑣM,N
ABḄᑖᒘ.1(1)WM,N
ABḄᑖᒘAM=2,MN=3,ᑣBN=0(2)᝞2,ᙠAABCFG
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ABḄᑖᒘMN>AM>BN,©AMDC,©MNFEB©HGᙳ
«¬PᙠEF®¯SAACN.SPB.SBHḄᦪ°ᐵ*.AAAMSAACN=0SAMBH=0SAAPB=0SAACN,SAAPB"SAMBHḄᦪ°ᐵ*
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ABḄᑖᒘ•*-BN=4MN2-AM2=A/32-22=0ঝ1BN2:MஹN
ABḄᑖᒘ,BN=^MN2+AM-=A/32+22=V130E25⚓/H28⚓

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BN,2SAAPB=SAACN+SAMBH"ᦑ!ᫀSAAPB=SAACN+SAMBH.24.᝞ÓῪAABCḄῪºAB=AC=25,BC=40,ÕPÖB×ØBCᔣCÚÕÛÜ10ᓫ/Þ.ÕQÖC×ØCAᔣAÚÕÛÜ5ᓫ/Þ1yᑮàáḄ2ᑖ·â2ãÚÕP'
Pᐵ§ACḄ䣤P"PBQ,ZÚÕåætÞ.(1)1tḄçm2PP"ាéA,mḄç0(2)Z5PTQḄ☢Åy,y%tê&Ḅ'ᦪᐵ*<(m

2677_ூ!ᫀ௃(1)m=-sS(2)y=78t2-504t+768(-

27P-7=BVtaOᵫ5PCNs^ACM,PC=4070t,PN=P'N=24-6t,CN=32-838VCQ=5t,ANQ=CN-CQ=32-13t,117Ay=B
PP'
NQ=—(48-12t)•(32-13t)=78t2-504t+768(-