甘肃省定西市2021-2022学年中考数学模拟试题（一模）含解析版

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18ூ9ᫀ௃(1)E(3,3),F(3,0)4(2)<=᪆.ூ=᪆௃ூ@=௃ᑖ᪆A(1)ᑭᵨ*+ᱯEḄឋGO,BE,F,HIᑮaAEF,ᯠKᑏEஹFḄᙶ᪗(2)ᑖLMOEஹOF,ᯠKᑖNOAஹOEஹOFḄOPQᑮ4ஹEiஹFi,HIᑮA1E1F1.@=A(1)᝞4AEFᡠ"E(3,3),F(3,0)4(2)᝞AiEiFiᡠ".TAUḄVWXYAᐜ[\ᑖLM]^E_`⊤(ḄᐵcMḼ᪷fg[h_`⊤ᡠ"ḄUḄᐵcᯠKijLMklᔜᑮnᜧᡈ&'ḄU.22.ᙠR3ABCNC=90஺᪷fqᑡᩩ2=stOtUA(1)a=8.x/5-b=8V15;(2)ZB=45°,c=14.ூ9ᫀ௃(1)c=16,ZA=30°,ZB=60°4(2)ZA=45°,a=b=7u.ூ=᪆௃ூᑖ᪆௃(1)ᵫa=8j^,b=8jf?,᪷fwᑗḄhyz{NAḄwᑗᑮ/A,ᑭᵨ|}ᑮZB,ᯠK᪷fstOtUO~Ḅᐵᑮc4(2)ᵫ/B=45°,ᑭᵨ|}ᑮ/A,ᯠK᪷fPῪstOtUO~Ḅᐵᑮa,b.319⚓/627⚓

19ூ@=௃(1),1=8,b=8Vl?,ZC=90°4c=ylb2+a2=«82¥+(85¥=1675,1+_«_875_73/A••tanz_A=—f—=b8V153111ZA=30°,ZA+ZB=90°ZB=60°,(2)VZB=45°,c=14,ZC=90°,•*.ZA=45°,a=b==7y[l.ூT௃{stOtUḄ~EtḄ=stOtUstOtUḄᩩst~ᑖa,b,~c,ᑣM+b2=c2,ᑭᵨz{stOtUḄ~hᳮ┦tOtᦪhy=⚪Ḅᐵc.23.᪷f᝞ᓫ:ூ9ᫀ௃10887imm3ூ=᪆௃ூ@=௃¡⚪ᑖ᪆Aᵫ¢£¤zᑨ¦§ᱥ©zᵫ.ª«Ḅᙊkqᚮ¯ᑮ°±᪷f¢£²Ḅᦪfᑖ³´ᙊḄ©µ\{Eᓽzᑮᱥ©Ḅ©µ.¡⚪=᪆A·kq.ᙊḄ¸ᔠU.216+4x4tx(§)=1088n(mm!).K=16><7CX2ᡠ§ᱥ©Ḅ©µ1088ᐔmmTAᙊḄ©µº»☢µX½.320⚓/627⚓

2024.᝞ᙠÀUABCDAB=4,BC=6,MBCḄDE_LAMÊE.(I){ÍAZ\ADES/\MABூ=᪆௃ூ@=௃¡⚪ᑖ᪆AᑭᵨÀUtÎPḄឋGÍÏD4ES4/M3.¡⚪=᪆A(1)ÍÏA•.•Ô~UÀU.AD//BC,.NDAE=NAMB,•NDEA=NB=90஺,:./\DAES/\AMB.(2)ᵫ(1)/.DEAAD=ABAM,11,”~8cḄBC=6,:
BM=3,
AB=4,ZB=90°,.AM=5,.DE6=4A5,24:
DE=—.5k25.ÝÞßàAy=-£âᱥàAy=ax2+bx+cçÊA(2,3)ஹB(m,2)>C(-3,nîO.X(1){Þßà£âᱥàḄ=᪆(2)ᙠë☢stᙶ᪗ìAஹBஹC,{4ABCḄ☢µ.321⚓/627⚓

21-»Xூ9ᫀ௃(1)y=-y=—x2+-1-x+3(2)5.x33ூ=᪆௃ூ@=௃ᑖ᪆A(1)ᦪðñ-·òóôᐵᑭᵨõhᦪöᑖ{÷gøᦪ£ºjᦪ=᪆ᓽz(2)᪷fA,B,COḄᙶ᪗zAADB,4BCEEùUADECḄ☢µᵨùU☢µ&NOtU☢µᓽzᑮ4ABCḄ☢µ.k@=A(1)úA(2,3)`ᐭy=-Ak=6,úB(m,2)ஹC(-3,n)ᑖ`ᐭy=9,m=3,n=-2,úA(2,3)ஹB(3,2)ஹC(-3,-2)ᑖ`ᐭy=ax2+bx+c:4஺+2b+c=39a+3ü+c=2,9a-36+c=-2=Aýc=3322⚓/627⚓

22122º.âᱥàḄ=᪆Ay=--x+jx+3(2)ìASABC=SADEC-SADB-SBCE»AAA11I=—(z1+6)X5——X1X1——X6X4,222351——12,T2✌ᐜᦪᐵᦪḄᐭᑮ"#ᡈ"#%&'"#ᡈ"#%.ᦪᐵḄ")ᨵ+,-(1)./ᓽ1ᦪ23+ᙶ᪗6ᦪᐵ78ax2+bx+c,>+ᙶ᪗ᐭ&'?(2)⚔ᓽ1ᦪ23AB⚔ᙶ᪗(h,k),6ᦪᐵ7Ea(x-h)2+k,>ᡠ123Aᙶ᪗ᐭ&'?(3)I᪷ᓽ1ᦪKxLḄIᙶ᪗(xi0),(X2,0)B23Aᙶ᪗6ᦪᐵ7y=a(x-xi)(x-X2),>ᡠ123Aᙶ᪗ᐭ&'.k26.᝞ᦪyi=-x+4ḄKᦪR=A(x>0)ḄTUA(m,1),B(1,n)I.x(1)&k,m,nḄZ?(2)ᑭᵨᑏ^x_layibyzḄᜧeᐵ.f23⚓/i27⚓

23ூlᫀ௃(1)m=3,k=3,n=3?(2)^lyz;^x>3ayiAᙶ᪗ᐭqrs'᪆&kḄZ?(2)ᑭᵨt6uᑖx=lᡈx=3,l3+,vwᑨyzby2Ḅᜧeᐵᓽ6.ூ{'௃(1)A(m,1)ᐭy=-x+4-1=-m+4,ᓽm=3,AA(3,1),kA(3,1)ᐭ|A-k=3,xB(1,n)ᐭᦪ'᪆-n=-1+4=3?(2)VA(3,1),B(1,3),᪷}t^1y2s^x>3ayi

24ᙠRtZ\DEBtanZDBE=---,BEVZDBC=65°,DE=xtan65°.È,.1NDAC=45஺AE=DE.132+x=xtan65°,I.'xH15.8,ADE-248Í®Î.1♦1§DᑮᓭACḄ¯°±7248®.28.᝞Ïy=ax+lKXÐஹVLᑖ¤ÒTUA,8IKÓÔy=Õ(x>0)ÒTxU88஺_1_8LU஺×஺஺=2,ØḄᙶ᪗7(-2,0).(2)஺7ÓÔ8ÙÚḄA×LU“^Ü0,C,஻7⚔Ḅ+¢ÞKßàa&஺Ḅᙶ᪗.ூlᫀ௃(1)N=±(2)஺(4,1)ᡈ+—2)xூ
᪆௃f25⚓/i27⚓

25ூᑖ᪆௃Í1Î4ᙶ᪗ᐭÏ'᪆&஺ḄZâãÏ'᪆᜛=2ᐭÏ'᪆&xḄZâã|ᙶ᪗ᐭqrs'᪆&RḄZᓽ6âãÓÔ'᪆?4Í2Î0Íå஻Îᐭqrs'᪆ᑮ஻=—,ᑖI,vwὃ⇋-^C/ZQSA/OBa?m:AQHCS“OB,ᵫßàrs&èḄZ¨âã஻ḄZᓽ60ᙶ᪗.ூ{'௃'-Í1Î஻ÍA2,0Îᐭy=ax+l஺=?1,V=—X+1,2-8஺=2,...y=2ᐭy=gx+lx=2,ᓽPÍ2,2Î,PÍ2,2Îᐭy=«Xz=4,4ᑣÓÔ'᪆7í=—?xÍ2Î᝞LUH,îïCQ?0Íñ஻Î4••n——,m/Bᙠ_Î/=gx+l,ABÍO,1Î.f26⚓/i27⚓

26^óC7/Qs4O8a,ZiPHCHQHm-2n6——,nᓽiI-----=-AOBO81••å-2=2஻ᓽ஻2—2=—'஻7=4ᡈå=A2(ö÷),.•.2(4,1)?^AOHCsAZQga,rCHQHW2-2n61g——=^,aᓽn-----=-BOAO124᦮ᳮ2/w—4=—,'/w=1+üᡈm=1—ü(ö).••0(1+42ü-2)ýᡠþ0(4,1)ᡈ(1+-2).ூÿ௃
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