2021-2022学年河南省南阳市方城县八年级（下）期中数学试卷（附答案详解）

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2021-2022
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320.᝞ᡠ-ᙠA-LAC,BD[I7஺-0MJ.4C,ADM.(1)S4cB=40஺-NCMDḄᦪ'(2)(?£)”ḄᕜHP10,MBCOḄᕜH.21.ᡃḄᐹ-Ḅᵨ-¡nU¢Ḅuv.᝞1,£¤ᵨᚈᑮ§Ḅ¨s©ª-ᩭ¬*mᡠᢞᱥ°Ḅe.±4-ᩚmᚈᑮ§Ḅ¨s©ªCx(ᔖ´)4-ᡠᢞᱥCy(µ)-ᑣyPxḄᦪ.¶⊤AC·±4ᡠ¸¹Ḅºᦪ».x(ᔖ´)12471112y¼µ½0.751.001.502.753.253.50(1)ᙠm⊤x,yḄᦪ»A-¾¿ᨵᦪ»¸¹┯Á.ᙠ2A-ÂÃḄÄ,+,ᑨÆÇP┯ÁḄÈ(2)᪷»(1)Ḅ¾¿-Êᩚmᚈᑮ§Ḅ¨s©ªC16ᔖ´4-ᡠᢞᱥPËgÈ22.ᦪÌ=Î+6qÏfÐᦪ'=?ḄI74(-4,3)ஹ8(2,n)T.(1)ᦪÒÏfÐᦪḄ⊤%&'(2)AHOBḄ☢Ô'(3)PᙠxÕm-ÖAPA஺C×ῪÙÚ4-./ᑏ*PḄᙶ᪗.j4⚓-ᐳ18⚓

423.᝞জᡠ-àsáâãÚABCDA-DEPḄsᑖL-IBC7E.(1)NOCD=CE(2)᝞ঝᡠ-PPsáâãÚABCDḄãBCᡠᙠ.Lm-BE=CE,æAE=3,DE=4.জNOAEsᑖçঝAPDḄ☢Ô.জঝ

5èᫀÒê᪆1.ூèᫀ௃Bூê᪆௃êO᪷»ᑖ&îḄïð£Oᑖ&îᨵO=2,^|=|,ᐳᨵ2.ᦑ⌱OB.᪷»ᑖ&îḄïðOᑖòAóᨵôᦪḄîõöᑖ&î⌲øáᑨÆ.ù⚪ὃüḄPᑖ&î-ê⚪ḄᐵþPÿᑖḄ.2.ூᫀ௃Aூ᪆௃:0.00000094=9.4x10~7.ᦑ⌱A.1Ḅᦪᑭᵨ!"ᦪ#⊤%&'()*+,ᜧᦪḄ!"ᦪ#./Ḅ0ᐸᡠ3ᵨḄ04ᢣᦪ6&ᢣᦪᵫ8ᦪ9:;<'=.*>Ḅᦪ?@☢Ḅ0Ḅ=ᦪᡠB.C⚪ὃFᵨ!"ᦪ#⊤%,Ḅᦪ&'()*ax10-",ᐸGlS|a|<10,H*ᵫ8ᦪ9:;<'=.*>Ḅᦪ?@☢Ḅ0Ḅ=ᦪᡠB.3.ூᫀ௃Cூ᪆௃ᵫIMᑮxKḄLM*3,NᱥKḄLM*4,P\y\=3,|x|=4,ᵫIQ&Yᙶ᪗>&Pᫀ.C⚪ὃF\IḄᙶ᪗&]"IḄᙶ᪗ᱯ_0⚪ᐵa.4.ூᫀ௃Dூ᪆௃Ὦc=e&ᦑ⌱⚗A┯hi4a9b26bj+l=j.m=n&ᦑ⌱⚗B┯hi3ab3a3ab2b22b3<6⚓&ᐳ18⚓

6q+q'2-+-L--Lᦑ⌱⚗c┯h;2aa2a2a2a'11a+l-(a-l)_a+l-a+1_22ᦑ⌱⚗஺u;a-1a+1(a+l)(a-l)(a+l)(a-l)a-l,ᦑ⌱D.᪷XᑖḄv◀#xyz#{|}ᔜ=⌱⚗GḄu&C⚪.C⚪ὃFᑖḄᔠ|&C⚪Ḅᐵa0uᑖᔠ|Ḅ{|#.5.ூᫀ௃Bூ᪆௃•.•R:)4BCD0R:)&A0A=OC,OB=OD,AB=CD,AD=BC,AB//CD,AD//BC,A08COO(SAS),AOD=ACOBRAS'),48஺DCB(SAS),A4OCACBA(SAS).ᦑ⌱B.ᐜXSASPN48஺CO஺ஹAADgKCBO,ᯠXᐰ¡)Ḅឋ£PᑮAD=BCஹDC=AB,ᯠ&¤XSSS¥ABD^^CDBAACD^LC4B¦ᑨ¨.©⌕ὃF\R:)Ḅឋ£&ᐰ¡)Ḅᑨxឋ£&BC⚪Ḅᐵa0«R:)Ḅឋ£.6.ூᫀ௃Aூ᪆௃4ᵫZᙶ᪗¦}&®¯°*20-5=15(ᑖ´)&ᦑC⌱⚗µᔠ⚪¶imᵫYᙶ᪗¦}&·!᪥M·ḄLM*2100¹&ᦑC⌱⚗.ᔠ⚪¶iC.ᵫZᙶ᪗¦}&º®»\30-20=10(min)ᑮÀ!᪥&ᦑC⌱⚗.ᔠ⚪¶i஺.º®Áᑮ!᪥ḄᙳÃÄ0(2100-1000)+10=110(¹/ᑖ´)=?(m/s),ᦑC⌱⚗.ᔠ⚪¶iOᦑ⌱A.᪷XZᙶ᪗&P¯°i᪷XÈᦪÉSḄYᙶ᪗&PÊ.C⚪ὃF\ÈᦪÉS&ËÌÈᦪÉSP}ÍÎḄ¯°&ÈᦪÉSḄYᙶ᪗P}Ê0⚪ᐵa.7.ூᫀ௃Aூ᪆௃•.•8{ᑜÑᕜÓÔxÖ=×Ø&'ᕜ8ᩭÃÄḄL5ÛÓÔ,j'ᕜÑᕜÓÔ1.5xÖ=×Ø&

7180—X180—%⚪¶&P:+1.x1.5%ᦑ⌱4ᵫ8{ᑜÑᕜÓÔḄ×ØÜᦪᔠ'ᕜÝÞḄÃÄ&P}'ᕜÑᕜÓÔ1.5xÖ=×Ø&᪷Xq߯°=qßcà+qßᦔ᳛&ᔠã▭å8{ᑜÝ@'ᕜæᡂèéê<'ᕜᢥ8qßᦔ᳛ì&ᓽP}ᐵxḄᑖ&î⚪P.C⚪ὃF\ᵫã▭ï⚪ðS}ᑖ&ñòàᐵó&uᑡ}ᑖ0⚪Ḅᐵa.8.ூᫀ௃Cூ᪆௃ூᑖ᪆௃C⚪ὃF\õåöÈᦪÉSnIḄᙶ᪗ᱯ_&]÷«õåöÈᦪḄឋ£0⚪Ḅᐵa.᪷XõåöÈᦪḄឋ£PᑮÈᦪy=êk>0ìḄÉSᑖûᙠ<'ஹS▲&ᙠÑ'S▲&yýxḄþᜧz&ᑣb>c>0,a<0.ூ௃k>0,ᦪ=Ḅ>0Ḅᑖᙠஹ▲ᙠ▲y"xḄ$ᜧ&'(V-2<0<2<3,A6>c>0,a<0,Aa

8-.AF=5-4=1,DE=4-3=1,••EF=4-1-1=2.ᦑ⌱B.᪷H<=567ḄឋJCKDF=CD,AE=AB,L&BMANOEDḄPᯠRBMᫀ.S⚪U⌕ὃXY<=567ḄឋJᙠ<=567Z[\]^<ᑖ_`aBᑭᵨdῪ^7ḄឋJ⚪.10.ூᫀ௃Aூ᪆௃᪷HfPḄghBM\4D=BC=6,AB=CD=10-6=4,i4BjCOkḄlm;d,[fPᙠC஺o`y=x4d=10,Md=5.ᦑ⌱A.᪷HfPḄghBM\AD=BC=6,AB=CD=10-6=4,p᪷H^7Ḅ☢rstBM\uv.S⚪U⌕ὃXhfw⚪Ḅᦪ᪷HfPḄghx^ABPḄ☢rzᓄM\4BOADḄP;⚪ᐵ}.11.ூᫀ௃~K1ூ᪆௃⚪Mx-1^0,Mx*1,ᦑᫀx^l.ᑖtᨵ`ᑖX-1H0,HMxḄ.S⚪ὃXYᑖtᨵḄᩩᑖtᨵḄᩩ;ᑖd.12.ூᫀ௃35°ூ᪆௃•••5674BCD<=567NB=55஺:.4D=B=55°,?•••AEJ.CD,/.DAE=90°-ZD=35°.

9ᦑᫀ:35஺.᪷H<=567Ḅ^dND,ᵫ4E_LCD,ᑭᵨᐵND4E.S⚪ὃXY<=567ḄឋJ.⚪Ḅᐵ};ᑭᵨ<=567ḄឋJ^Ḅ^pᑭᵨᐵ.13.ூᫀ௃(2,-1)ூ᪆௃ூᑖ᪆௃S⚪ὃX<=567ḄឋJஹᙶ᪗j7ឋJS⚪Ḅᐵ};K£⚪ᑭᵨ<=567ḄឋJ.᪷H<=567;Z¤¥7p᪷HMBC஺^_Ḅ¨f஺©fOf4Ḅᙶ᪗ᓽBMᑮfCḄᙶ᪗.ூ௃••"BCD^_Ḅ¨f஺©f4fᙶ᪗(—2,1),••fCḄᙶ᪗(2,—1),ᦑᫀ(2,—1).14.ூᫀ௃y=2%-5ூ᪆௃i<¯RḄ᪆ty=2x+b,±f(2,-1)²ᐭM-1=4+b,M6=-5.ᦑ<¯RḄ´_ᡠ¶Ḅᦪᐵty=2x-5.ᦑᫀy=2%—5.·;<¯ᡠ¸Bi<¯RḄ᪆ty=2x+b,±f(2,-1)²ᐭBM\bL&M᪆t.S⚪ὃX¹ºᦪ»ᦪ᪆t¼<¯½¾kḄ;ᐵ}.15.ூᫀ௃7ூ᪆௃ᵫÁᢚBMBE=EF,CF=BC,•••5674BCD<=567•AD—BC,AB=CD,AD=CF,10⚓ᐳ18⚓

10AB=AE+BE=AE+EF,AF=AD-DF=CF-DF,•••AAEFḄᕜP8,•••AE+EF+AF=AB+CF-DF=8,?•••ÄCDFḄᕜP22,CD+DF+CF=AB+DF+CF=22,/.AB+DF+CF-(AB+CF-DF)=22-8,MDF=7.ᦑᫀ7.ᵫÁᢚBMBE=EF,CF=BC,L&BMAD=CF,AB=AE+EF,AF=CF-DF,uᔠAAEFḄᕜP8,ÄCDFḄᕜP22,BM4B+OF+CNQ4B+CF—OF)=22-8,ᓽBM\ᫀ.S⚪ὃXÁᢚzᣚ(ᢚÇw⚪)ஹ<=567ḄឋJÈÉÊËÁᢚḄឋJ;S⚪Ḅᐵ}.16.ூᫀ௃©t=jÌ+Í*a{a—l)a—1(Q+1)2a-1---------•,■a(a-l)a+1a+1=~~a~f[a=—l,0,1`©tÏᨵ[a=2`©t=|.ூ᪆௃©tÑÒZÓ⚗ÕᑖÖᑭᵨ@ᑖᑖtḄ×»»ᑣÙÚ@`ᑭᵨ◀»»ᑣz7ÜᑖMᑮᨬÞußàaḄ²ᐭÙÚᓽB\.⚪ὃXYᑖtḄᓄÞÈÉÊËgÚ»ᑣ;S⚪Ḅᐵ}.17.ூᫀ௃(1)iáᦪḄ⊤ãty=kx+b,²ᐭ(3,3),(1,-1),M{MEäᓃ•.æçáᦪ⊤ãty=2x-3(2)ᦪ᝞ᡠé

11rL-Yiml_J._l_J_Lê_JrIIIIIIL--r-r-i-rr-1I-1-LJ-LJ-JHiiiiiiIrulrLlr——§ëzìrIIIIIILr-rT-ñmLêIIlr-rrT-r-i-r-i-1Lê_1_LJ_LJiiIIIIIIh-T—ïT+-LT-ïT-4IIIIII(3)òóB[1.5`ᦪy>0.ூ᪆௃(1)¹ºᦪ»᪆tᓽB(2)᪷H᪆tᓽBô\ᦪ(3)᪷HᓽB£ºõ.S⚪ὃXYáᦪḄ᪆táᦪḄOឋJÈÉÊËæö÷;⚪Ḅᐵ}.18.ூᫀ௃CK.•567/BCD;<=5674D஻BC,AD=BC,•Z,CBE=F,•fEC஺ḄZf•.CE=DE,ᙠAB"OZZCBE=FCEB=DEF,CE=DE•••0BCEWAFDE(AAS),BE=FE,BC=DF,AD=DFyᓽfE;BFḄZff஺;aNḄZf.ூ᪆௃ᵫᙠQ4BC஺ZfECDḄZf᧕CMABCEÄF0EQL4S),ᯠRᵫᐰd^7Ḅ¶6dCMuv.12⚓ᐳ18⚓

12⚪ὃXY<=567ḄឋJ¸xᐰd^7ḄᑨºjឋJ.⚪üýᜧ.19.ூᫀ௃(1)iæþᖪḄᓫxᐗ/.ITS*xpq30002400yᵫ⚪---=10x=60,x=60Ḅ᪷.ᖪḄᓫ60ᐗ/.(2)48,50(3)!"ூ᪆௃(1)'ᫀ1:ᖪḄᓫ60ᐗ/.(2))*+,-.ᖪ/Ḅᓫ60-20=40(ᐗ/))*+,-.ᖪ/ᵬ,-Ḅᦪ2400-40=60())*+,-.ᖪ/3,-Ḅ4(3000+60)x40=2000(ᐗ)•••ᵬ6+,-ᖪḄ7ᙳᓫ2400X2+(9+60)=48(ᐗ/)36+,60-ᖪḄ7ᙳᓫ(3000+2000)+(ᘠX2)=50(ᐗ/).ᦑᫀ4850.(3)•♦•48<50,*ᢥ>?!"@ABᔠD.ᦑᫀ!".(1)EᖪḄᓫxᐗ/.᪷F“ᵬᵨ2400ᐗ,-ḄᖪᦪIJ3ᵨ3000ᐗ,-ḄᖪᦪIK10”Mᑮ>9ᐵPᑡRRᓽTRᫀ(2)ᐜVDR)*+,-.ᖪ/ᵬ,-ḄᦪIW3,-Ḅ4Xᵨ6+4W◀Z6+ḄᦪIWᓽTR6+Ḅ7ᙳᓫ(3)[\J](2)ḄVD^_ᓽTRᫀ.`⚪ὃbcdḄeᵨMᑮ⚪fgḄ>9ᐵPhi⚪ḄᐵjVD7ᙳᓫḄᐵjklmnḄR4WᦪIXoὃpᱯrᑮstḄuv.20.ூᫀ௃(1)•••wxyABC஺7{wxy,•••OA=OC,AD//BC,/.Z.ACB=Z.MAO=40°,

13VMOLAC,•••AMOA=AMOC=90°,ᙠ~4/஺4CMOgOM=OMNMOA=4MOC=90°,,OA=OCXMO^ACMO(SAS),2-AMO=ZCMO=90°-40°=50°,•••Z.CMD=180°-50°-50°=80°(2)ᙠ஺ABCDgAD=BC,AB=CD,••஺ACḄgM஺4cḄᚖ7ᑖ•••MC=MA,•••~CDMḄᕜ=MC+MD+CD=MA+MD+CD=AD+CD=10,•••7{wxyBCDḄᕜ=2(AD+CD)=20.ூ᪆௃প᪷F7{wxyḄឋR04=OC,ᳮᵫS4S~4஺CM஺ᐰ9ᑭᵨᐰ9yḄឋW7ḄᓽT(2)᪷F7{wxyḄឋT7{wxyx>9ᡠZ7{wxyḄᕜ=2Q4D+CD),᪷FgᚖḄឋTCM=4M,ᡠZ~CDMḄᕜ=4D+CD,ᡠZ7{wxyḄᕜT.`⚪⌕ὃbc7{wxyḄ`ឋᑭᵨឋ⚪.7{wxy`ឋজ7{wxy6¢xᑖ£7{ঝ7{wxyḄ6¢xᑖ£>9ঞ7{wxyḄ6¢ᑖ£>9ট7{wxyḄ§>7ᑖ.21.ூᫀ௃(1)¨©ª«Tx=7,y=2.75¢ᦪF┯.(2)E®=/«+°±x=l,y=0.75,x=2,V=1²ᐭT)14⚓ᐳ18⚓

141k¶:,b=21.1•.yjx+1¸x=16/y=4.5,¹ᩚ°¹ᚈᑮ¹¼Ḅ½7¾¿16ᔖÁ/¹ÂᡠᢞᱥÅ4.5Æ.ூ᪆௃`⚪ὃbs+ÇᦪḄeᵨÈPᦪÉ9Ê⚪Ḅᐵjᳮ⚪ᮣÌÍᵨᡠÎÊhi⚪(1)ᑭᵨÏÉÐRªyᓽTᑨÒ.(2)EÇᦪᐵPdy=kx+b,ᑭᵨÈPᦪÉhi⚪ᓽT.22.ூᫀ௃(1);s+Çᦪy=kx+bÔJÕÇᦪy=?Ḅª«×ØZ(—4,3)ஹB(2,n)6.:.m=-4x3=-12,•.ÔJÕÇᦪ᪆dy=-?¸Ú=2/y=—6,•n=-6,5(2,-6),Û(s4,3),8(2,—6)²ᐭ®=kx+b2,C—4k+b=3l2fc+&=-6'*Ü=-1,U=-3*s+Çᦪ᪆dy=-|x-3(2)ᵫ(1)4BḄ᪆dy=-|x-3,¸y=0/,x=-2,S^AOB=5X2X3+]X2X6=9ব••(-4,3),•0A=5,¸஺=Þ/,ßa”10PH.l

15:.PஹH=OH=4,•P(-8,0),¸04=OP/ᑣP2(—5,0),P(5,0),3¸PA=P஺/E4K=0P=%,4ᑣ”24=4—%,•.(%—4)2+32=%2,X=áo•••P(-â0)ã°P(—8,0)ᡈ(s5,0)ᡈ(5,0)ᡈ(så,0).Oூ᪆௃(1)ᑭᵨÈPᦪÉᓽTRÇᦪ᪆d(2)ᑭᵨᑖᒘÉTᫀ(3)ᑖZP=40,PA=P0,஺4=OPçyᑖ£VD.`⚪ÔJÕÇᦪãᔠ⚪⌕ὃbcÈPᦪÉÇᦪ᪆dyḄ☢é9ῪyḄឋëìᳮ9ÊÍᵨᑖíîïoð⚪Ḅᐵj.23.ூᫀ௃প:DE34DCḄ7ᑖ,Z-ADE=CDE,ᙠ7{wxy/BCOgAD//BC,••Z.ADE=Z.CED,•Z-CDE=4CED,)16⚓ᐳ18⚓

16:,CD=CE(2)জvCD=CE,BE=CE,:.BE=CD=ABf.•.~ABE9Ὺy•BAE=Z-AEB,,•wxy4BCD7{wxy/.AD//BC,Z-DAE=Z.AEB,:.Z-DAE=4BAE,ᓽ4E7ᑖ3BADঝ•••CD=CE,BE=CE,•.BE=CD=AB,.~ABE9Ὺy••ENB4E=Z.BEA=a,Z-CED=Z-CDE=0,Z,ABE=180°-2a,DCE=180°-2/3,ñ•Z.ABE+Z.DCE=180°,2•180°-2a4-180°-2/?=180°,•Q+£=90°,:.Z.AED=90°,ᓽ~AEDy•AD=y/AE24-ED2=V32+42=5\EßEK_LØK,•EK=AD5-1-1~APDḄ☢é=-ADEK=-x5x-=6.ூ᪆௃(1)᪷F7ᑖḄTN4DE=CDE,᪷F7{wxyḄx7{TAD//BC,X᪷F67{ᑁ┯>9T34DE=CED,pRNCDE=/.CED,ᯠôᑭᵨ99xᓽT(2)জ᪷F7{wxyḄឋW9ῪyḄឋᓽTঝᐜA/IE஺y\EßEK14DØK,᪷Fy☢éõdREK,X᪷Fy☢éõdR~4P஺Ḅ☢é.`⚪ὃbcwxyḄãᔠ⚪7{wxyḄឋZö7ᑖḄឋy☢é

17ãᔠឋ]÷ᨵsḄùú.)18⚓ᐳ18⚓