2022年山东省济宁中考数学三模试卷（附答案详解）

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2022
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216.ᐜᓄ-./0Q+W)+Wᐸ3*5᦮ᦪ89:;<=>+17.@ABḄCᓝᜧFᑭHIJ3KLM“ᖛPQRSBT”ᔠᖛWXYZ.[\]✌_`aᦪᨬcḄRdefgᖛRd.hijklA,B,C,஺n✌ᜓ⌱dqrKs⌱tuv᪵xyLz{Ḅᦪ|}ᑴ᝞;᦮Ḅᑖ;(2)Lঝ⊡ᐙ᦮(3)ᙠhxyYZ3ᵬKv᪵xyᵨ᪛ᡈᑡ⊤.a_`]✌RdḄᭆ᳛.18.᝞ᙠ£¤BC34c=90஺஺ᙠAC¥¦0A§¨Ḅ஺஺©A8£>,8¤Ḅᚖ®ᑖ¯©8c£,©8஺°±AOE.(1).²0¯QE5஺஺Ḅᑗ¯(2)AC=6,BC=8,0A=2,.¯´40µ஺EḄ.

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7ூᑖ᪆௃⚪ὃḄ@RaᦪḄᙶ᪗ᱯRaᦪy=ax2+bx+c(a=0)ḄḄᙶ᪗ᐸ-᪆.ᑖ-4ஹ-1ஹ1¢ᐭ-᪆Ebcd¤ᓽK.ூ-*௃-Nyi=-|(-4+2)2-1=-3,y-2.=i=-|,ª3=«(1+2)2_1=£,ᑣ

8ᔠPḄXYñPḄXYòwᑖᡂ0-4ஹA-BஹBfCmÔyõᩭEbᑖ᪆mn0Mp☢âḄcd>øḄᱯᑖ᪆I☢âçᓄḄúûÍFHᑮ*ᫀ.⚪ὃ3à¤áᦪឋ~ஹ┦nmnᦪឋ~-⚪ḄᐵB@ÀüÉᙠ஺4ஹ4-8ஹB-CmÔyõÞmn஺MPḄ☢âcd>.11.ூ*ᫀ௃22Å%40ூ-᪆௃-Nᵫ⚪QHNᑐ-220Åÿ0,x>20,ᦑᫀ220.᪷᪷ᨵḄᩩx-2>0᪷ᑖᨵḄᩩx*0,!"#ᓽ.%⚪'⌕ὃ*+᪷ᨵ,ᑖᨵḄᩩ-ᐵ/012᪷3Ḅ456ᦪ089ᦪ:ᑖᨵḄᩩ0ᑖ;"#<=.12.ூᫀ௃A=C4ூ᪆௃6FḄGHIJx(x+3),%4-3=5%,x=74RSTA=UVᐭ+3)=XH0.•[6FḄx=l4ᦑᫀ%=;.4]^ᨬ`aᑖ;0x(x+3),6FGHJᨬ`aᑖ;-bTᑖ6Fcᓄ᦮6Ff.ὃ*+ᑖ6F-g(1)ᑖ6FḄhijk0“cᓄjk”-Tᑖ6Fcᓄ᦮6Ff.(2)ᑖ6Fnog⌕S᪷.13.ூᫀ௃:ᐔn1ூ᪆௃᝞s-tu0C."^^AOB^AEOF=90஺-y6zA8CDḄ⚔C0Ḅ3,•••AC0F=45°,OC=V2CD=2,

9•OD=CD=V2,•▢ᑖḄ☢=ᡧzrocḄ☢-CzOOCḄ☢451=^7XX7TX22--X(V2)2DOUZ1=■ᐔ—1.2ᦑᫀ|TT—1.tOC,᪷oᳮfOCḄ-᪷⚪▢ᑖḄ☢=ᡧzOCḄ☢-CzOQCḄ☢-%ᑡᓽf.i⚪ὃ*+y6zḄឋ-oᳮ,#ῪCzḄឋ,ᑨo-ᡧz☢Ḅ-⚪Ḅᐵ/0¡ᵨᑖᒘ¤f▢ᑖḄ☢.14.ூᫀ௃4042ூ᪆௃m,”0nᐗ6F/+%-2021=0ḄG§¨ᦪ᪷-•••mn——2021,m2+m—2021—0,ᓽm?+=2021,7nᑣ[=m2+m-(m+n)=2021-(-2021)=2021+2021=4042.ᦑᫀ4042.ᵫ®-஻6FḄ-Tx=niVᐭ6Ff±2+Ḅ²-!ᑭᵨ᪷´µᦪḄᐵµf7nm+nḄ²-[¶z·Vᐭᓽf².%⚪ὃ*+᪷´µᦪḄᐵµ-¸¹12nᐗ6F᪷´µᦪḄᐵµ0i⚪Ḅᐵ/.15.ூᫀ௃ூ᪆௃•.•yºHzA8CDEFḄ3½஺[¾¿À☢ᙶ᪗µ-AP10B,rPP1OC,PP1OD,r223•••Ã(MB#HCz-NOAPI=30°,OP௃=IOA=I-Iᳮ^PPiO=30",2•••0P=OP1=4P3P2஺=30°,2,-.OP=^OP=^x^=^,ᓽ0ᓃ=/-32•••OP2022=22022'•••2022+6=337,••஺஺2022ᙠÍnÎ▲-22022ḄÐᙶ᪗ḄU஺஺2022=X£^7=9H-•2022ḄÐᙶ᪗1Í10⚓-ᐳ19⚓

10ᦑᫀᵫ⚪0P1=R/1=0P2=OP1=≶,0P3=0X£=/-×04=*,஺Ø2022=9,×஺22022ᙠÍnÎ▲,ᵫ02022ḄÐᙶ᪗ḄÙ஺஺2022ᓽÚ.i⚪ὃ*+yºHzḄឋஹ#HCzḄឋஹÜ30஺ḄCzḄឋbÝÞßà:¸¹12yºHzḄឋ-áÞß0⚪Ḅᐵ/.16.ூᫀ௃+x+112(x+1)%+1x+1-(x+2)(x—2)x+22(x+1)%+1X(%+2)(%-2)2=—,X-2"#âã2x4*T?ᵫজx<-1,ᵫঝx>-3,*,•-3çççn1,••X0᦮ᦪ-x=-1,-2,—3,"x+10,x+20,x=-3,èx=—3é-[=—|.ூ᪆௃ᐜᓄ`ᑖ-!nᐗn"#â-᪷⚪ìᔠᑖᨵḄᩩîoïx=-3,ᵫ%f.i⚪ὃ*ᑖḄᓄ`f²-nᐗn"#âḄ¤-¸¹12ᑖᓄ`f²Ḅ6¤,ᑖᨵḄᩩ-nᐗn"#âḄ¤0⚪Ḅᐵ/.17.ூᫀ௃18020%ூ᪆௃পஹ•4ñ*Ḅòóᦪ30+ô;=180(õ)-360••⌱÷øùVúAḄûᓰý᪵òᦪḄÿᑖ
x100%=20%,180ᦑᫀ180,20%(2)Cᦪ180-(36+30+44)=70(A),⊡ᐰ"#᝞%

11"ঝ(3)ᑡ⊤᝞%:ABcDA(44)(BM)(CM)CD,A)B(4B)(B,B)(C,B)(D*B)C(4C)(B,C)(&C)(C,C)D(4D)(B,D)CD)(D,D)ᵫ⊤,*ᐳᨵ16/01234*ᐸ6789:;✌=>Ḅᨵ4/34*ᡠA789:;✌=>Ḅᭆ᳛ᔁ=7164(1)ᐜ᪷G3>HḄᦪIᐸᙊKLᓰᕜLḄ
OPQRSTḄUᦪ*V᪷GWᑖ
ḄᭆXPY1Zᫀ(2)᪷G[\>HḄᦪ]^0_RSTUᦪPQC>Hᦪᓽ1⊡ᐰ"#(3)ᑡ⊤ZQᡠᨵ01234*a6bᑮdᔠᩩgḄ34ᦪ*V᪷Gᭆ᳛hiPYᓽ1.k⚪ὃTnᑡ⊤oᡈ᪛r"oPᭆ᳛AIᩩ#st"uᡧ#st".ᵨᑮḄ,xy:ᭆ᳛zᡠP{|ᦪuU{|ᦪ]
.18.ூᫀ௃(1):0D,EFᚖᑖBD,•EB=ED,:.Z.B=/EDB,v0A=0D,:.Z.ODA=•/C=90°,:.Z,A+(B=90°,4EDB+4004=90°,•4ODE=90°,OD1DE,•••DEO0Ḅᑗ.(2)YOE,OH14D_H.ᑣAH=12⚓*ᐳ19⚓

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2=22+x2,YZ=4.75,•••DE=4.75.ூY᪆௃1
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A/¹₝»¼Ḅ½¾xᐗ*8/¹₝»¼Ḅ½¾yᐗ*᪷G⚪À/Âf30x+15y=675Z12x+5y=265'YZ:5°-•••Ä/¹₝»¼Ḅ½¾20ᐗ*B/¹₝»¼Ḅ½¾5ᐗ.2
A/¹₝ḄᦪÅ஻?¼*ᑣB/¹₝ḄᦪÅ31-Èɼ*•:B/¹₝ḄᦪÅÊ_A/¹₝ḄᦪÅḄ2Ë*•31—m<2m,YZ771>Í*.•᪷Î᦮ᦪ*•*,gᨬ34=11,ÐÑ᪛ÒUÓᵨW=20m+531-zn
=15m+155,k>0,•••WÔxḄÕÖ×ÕÖ*Øm=llÙ*WÚÖÛ=15x11+155=320ᐗÉ.ÐÜA/¹₝ḄᦪÅ11¼ஹB/20¼*ÓᵨᨬḕᨬḕÓᵨ320ᐗ.ூY᪆௃1
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