2022-2023学年河北省廊坊九年级（上）开学数学试卷（含解析）

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20222023
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ᦪᔁIᔁ⌱⚪ஹ⌱⚪ᐳ16⚪ᐳ48ᑖ.1.!"ᨬ$ὁḄ'()*+ᐸᙠ./01234Ḅ5/6)*78.9ᑡ;<=!>?@ABC!D?@ABḄ!2.9ᑡFG!ᐵIxḄᐗLMFGḄ!A./+2=4B,ax2+bx+c=0C.x—lx+3=4D.4%2-xy+7=03.[☢]^ᙶ᪗aᑁcdᐵIed?@ḄdḄᙶ᪗!A.1,-1B.—1,1C.1,-2D.-1,-14.FG+3mx+1=0!ᐵIxḄᐗLMFGi4A.m=±2B.m=2C.m=—2D.mH±25.mFBᐹᨵpqBrsᐹᨵḄឋu!A.?^vwxB.yᩩ{wxC.?^v|wᚖ]D.~ᩩ?^v[ᑖ?^6.9ᑡmḄ!A.FG8/-7=0ḄM⚗aᦪ7B.ᐗLMFGḄB!a/+bx+c=0C.k=0FG+3x—1=/ᐗLMFGD.ᡠᨵᦪᐵIxḄFGm2+1/——3=0ᐗLMFG7.m!FGM+%-2=0Ḅ᪷ᑣᦪ27n2+22022Ḅ!A.-2018B.2018C.-2026D.2026

1..........8.᝞ᐵIxḄFGx-92=m+42ᵨ][F¡¢mḄ¤!OO....A.m>3B.m>3C.m>—4D.m>—4....9.ᵨ¦FFG/+4x+l=0,¦F§ḄFG!()....A.(x+2)2=5B.(x—2)2=3C.(%—2)2=5D.(%+2)2=3郑郑..10.X=T¬2+4X3XL!9ᑡ®¯ᐗLMFGḄ᪷()......2x3......A.3x2+5%+1=0B.3x2-5x+l=0..........C.3x2—5x—1=0D.3x2+5%—1=0..OO11.ᐵI°ḄᐗLMFG3/+2x+1=0Ḅ᪷Ḅ±²9ᑡᑨ´mḄ!....A..鼠.ᨵµ¯wxḄᦪ᪷B.ᨵµ¯rwxḄᦪ᪷....C.¶ᨵᦪ᪷D.·ᑨ´您..12.᝞AᙠA4BCZ5=50°,ºAABC»d4ᢥ⌮3宏..┐FᔣÀÁÂᑮÄAB'C'.ÆdB'ាÈÉᙠBC{.-E......ᑣNCAC'ḄËᦪ.翔......A.50°...O氐OB.80°...塘.C.90°....D.100°...tti.13.ÌÍÎ^BḄÎᩩ{a,b,c,ÏÐÑa2—10a+᮱16b+89=0,ᑣÔ¯Î堞堞郦^BḄᨬᜧ{cḄ¤!........A.c>8B.5

215.(x—l)2—5(%—1)+4=0,ᡃx—1ᡂ᦮x—1=y,ᑣᓄ—5y+4=0,y1=1,2=4.ஹ=1ᓽx-l=l,x=2!y=4ᓽx—1=4,x=5,ᡠḄ$ᓃ=2,x=5.2ᑣᑭᵨ()*+(2x+5)2-4(2%+5)+3=0Ḅ()A.x=1,x=3B.=-2,g=3x2C.%!=—3>%2=—1D.=—1,%2=—216.᝞/012344BCC54B=8,4஺=6,=60°,E734஺894E=2DE,F73:B8Ḅ;<=>E?@

3..........21.({I⚪16.0ᑖ)OO|ᑡ$....(1)஺-5)2=16!....(2)x2—6=6x!....(3)x2+2x-2=0!郑郑..(4)x2-2x-3=0...........22.({I⚪6.0ᑖ)........../$᝞/,4<ᙶ᪗(-2,3),4஺48@<஺⌮┐CD90஺,ᑮO&B].....OO(1)〉Ḅ0☢aᙶ᪗!....(2)pOA^i.鼠......您.3宏....-E......翔......23.({I⚪6.0ᑖ)...O氐OPQ$ᐵSḄᐗK/+mx=3(?nᦪ)....塘.(1)ut$mJᨵijḄᦪ᪷!....(2)ᨵ᪷2,+Ḅ᪷....tti.24.({I⚪6.0ᑖ)堞堞郦᝞/ᙠ44BC05AB=12cm,BC=6cn.

4ḄÎᦪᐵe!(஻)ÁÃIᖪ¶├¿¸7ÈÐᐗᖪ³Áᜩ├¿()Iᖪ¶ḄᑭËᨬᜧÒᨬᜧᑭË7ÈÐÒ26.({I⚪8.0ᑖ)᝞/jῪABC5AB=BC,ABC@⚔

5mᫀÿ᪆OO....1.ூᫀ௃A....4ᔠ⚪..郑郑ᕒᔠ⚪......C.ᔠ⚪..........Dᔠ⚪..........ᦑ⌱A...OO᪷Ḅᭆᓽ..i..i.!⚪"⌕ὃ%&'ḄᭆḄᐵ)*+,...M!...ᐵ)您...H.2.ூᫀ௃C.-E...4-.ᑖ0-.᦮0-.2ᐗ45-.ᦑ!⌱⚗ᔠ⚪.翔.....B.7a=08-.2ᐗ45-.ᦑ!⌱⚗ᔠ⚪氐C.-.2ᐗ45-.ᦑ!⌱⚗ᔠ⚪OO.塘.D-.4ᐗ45-.2ᐗ45-.ᦑ!⌱⚗ᔠ⚪....ᦑ⌱C....tti.᪷2ᐗ45-.Ḅ9:⌲<ᑨ>ᓽ.堞郦堞!⚪ὃ%&2ᐗ45-.Ḅ9:?@A2ᐗ45-.Ḅ9:B⚪Ḅᐵ)CDᨵ..........2

6tm=-2.ᦑ⌱C.ᵫ2ᐗ45-.Ḅ9:G=2,Jm-2X0,z{tmḄ|.!⚪"⌕ὃ%Ḅ2ᐗ45-.Ḅ9:}~2ᐗ45-.Ḅ9:⚪Ḅᐵ).5.ூᫀ௃A••`-ḄᩩRᚖQOᑖIJᩩROᑖ2RḄᩩRᚖQIJ2ᩩROᑖ2R`-ᐹᨵ{29ᐹᨵḄឋR.ᦑ⌱A.᪷`-Ḅឋ'Ḅឋᓽ.!⚪ὃ%&`-'Ḅឋ!⚪Ḅᐵ)}~`-Ḅឋ.6.ூᫀ௃Dஹ-.8/-7=0Ḅ25⚗Uᦪ0,ᦑ⌱⚗┯Bஹ2ᐗ45-.Ḅ20ax2+bx+c=0(aH0),ᦑ⌱⚗┯Cஹ7210,ᓽ8-.+3x-1=/2ᐗ45-.ᦑ⌱⚗┯Dஹ7m¡ᡠᨵ¢ᦪ8ᐵXxḄ-.(62+1)/__3=02ᐗ45-.`aḄ.ᦑ⌱D.᪷2ᐗ45-.Ḅ9:.2ᐗ45-.¥¦§¨©<ᩩª(1)FGᦪḄᨬM5ᦪ2(2)45⚗Uᦪ0(3)᦮0-.(4)Dᨵ22<-.ᔲ2ᐗ45-.✌ᐜ⌕°ᔲ᦮0-.ᯠ²°ᓄ´²ᔲCDᨵ2

7..........•2m2+2m-2022=2(m24-m)—2022=—2018.OOᦑ⌱A.....·*=ni¹ᐭ»G-.¼t½2+=2,ᯠ²᦮¾¹ᐭᡠḄ¹ᦪ0|ᓽ...7n..!⚪ὃ%&2ᐗ45-.Ḅ.?¿2ᐗ45-.ÀÁÂḄFGᦪḄ|2ᐗ4....5-.Ḅ.ÃÄCDᨵ20,...M!.:.m>—4,...您.ᦑ⌱D.3宏᪷2ᐗ45-.-QÊËO-^ÌÍÎÏᓽ.....-E..!⚪ὃ%&2ᐗ45-.-QÊËO-^@Ð}~ÑᦪÒᨵO-᪷⚪Ḅᐵ).....翔.........氐.9.ூᫀ௃DOO..ூ᪆௃.塘...ூᑖ᪆௃....tti!⚪"⌕ὃ%Ó-^2ᐗ45-.@Ð}~Ó-^2ᐗ45-.ḄÔ!ÕÖ..堞郦堞⚪Ḅᐵ).......×⚗²ÂÓ25⚗Uᦪ2ØḄO-t......K-i.....i..ூ௃...®....i.x2+4x+1=0,.Oi.O•••x2+4x=-1,....••x2+4x+4=—1+4,ᓽ(x+2)2=3,......ᦑ⌱D...区氐10.ூᫀ௃D....A3/+5x+l=0X=-5±V52-4X3Ùᔠ⚪....2X3..........A3--5x+l=0X=5±«2-4X3X\ᔠ⚪....2X3......OOC.3--5X—1=0X=5±V52+4X3X1ᔠ⚪2X3....D3Ú2+5%-1=0X=-5±«2+4ஹ3<,ᔠ⚪..2X3..q8⚓ᐳ17⚓....

8ᦑ⌱DᵨÜ0^2ᐗ45-.Ḅ2ÕÖজ·-.ᓄᡂ20Ì{a9a,b,cḄ|ঝà᮱-4acḄ|(âᓃ224ac<0,-.ä¢ᦪ᪷)ঞᙠ஻-4ac20Ḅèéê·aஹbஹcḄ|¹ᐭÜ0ÌÍÎÏà-.Ḅ᪷.!⚪"⌕ὃ%&Ü0^2ᐗ45-.@A᪷Ü0⚪Ḅᐵ).11.ூᫀ௃C4=22-4x1x3=4-12=-8,ᦑY-.ä¢ᦪ᪷ᦑ⌱C.᪷᪷Ḅᑨë0ᓽàᫀ.!⚪ὃ%᪷Ḅᑨë0⚪Ḅᐵ)@Ðìᵨ᪷Ḅᑨë0!⚪íXÔẠ⚪ï.12.ூᫀ௃B•••ðAABCñW4ᢥ⌮8┐-ᔣö÷tᑮ4A'B'C,AB=AB',Z-AB'B=Z-B,•••B=50°,AB'B=50°,NB4B'=180°-50°-50°=80°,ᵫö÷ឋG"AC'=BAB'=80°,ᦑ⌱B.᪷ö÷ḄឋtᑮB=4B',=ᵫùRᑁR'9ᳮtᯠ²᪷ö÷ឋtᑮ_û.!⚪ὃ%&ö÷ḄឋῪùRḄឋᮣþìᵨÆÿḄឋ⚪⚪Ḅᐵ.13.ூᫀ௃C•••a2-10a+b2-16b+89=0,•••(a2-10a+25)+(h2-16b+64)=0,

9..........•(Q-5)2+(b—8)2=0,OOv(a-5)2>0,(b-8yNO,....Aa-5=0,6—8=0,....Q=5,b=8.....•••Ḅᩩa,b,c,郑郑..b-a?%&'ᙠḄᐵT3gᦪḄBᵨ.⚪ḄᐵuO⚪J.v8ᡠj⚪◤⌕Ḅᩩd.ᑭ......ᵨᦪzᔠḄ|}.....................15.ூᫀ௃D.O.O(2X+5)2-4(2X+5)+3=0,......~y=2x+5,..10⚓.ᐳ17⚓....

10&6iy2-4y+3=0,***y1=1,y2=3,y=l.ᓽ2%+5=l,7=—2y=3.ᓽ2%+5=3,7=—1,ᡠi&Ḅ/=-2,x=-1.2ᦑ⌱D.✌ᐜ᪷1⚪J6i~y=2%+5,&6iy2—4y+3=0,ᯠ;ᐵyḄTᐗ3&.Ḽ6ij8ᓅ⚪⌕ὃ>?ᑭᵨᣚᐗ'Tᐗ3&.⚪Ḅᐵᑭᵨᣚᐗ'ᓄ&.ᯠ;ᑭᵨTᐗ3&Ḅ'⚪.16.ூᫀ௃A᝞K.¡4BḄA¢M£EN,EC,GN,¤E”_LCD¥CDḄ¦§¨”.-AE=2DE,:.AE=4,DE=2,••¢NABḄA¢..AN=NB=4,4E=AN,••c4=60°,ª4EN«.•Z.AEN=(FEG=60°,•Z.AEF=
NEG,•EA=EN,EF=EG,/ªNEG(S4S),:.
ENG==60°,•••CANE=60°,•
GNB=180°-60°-60°=60°,

11..........•••¢GḄ®¯°±²¨NG,OO,:BN=EN,BNG=LENG=6஺°,NG=NG,....EGN)4BGN(SAS),....•••GB-GE,....GB+GC=GE+GC2EC,郑郑..ᙠRMDEHA.AH=90°,DE=2,AEDH=60°,............•••DH=1DE-1,EH=V3>............ᙠRtªEC“A.EC=\/EH2+CH2="3+81=29...OOGB+GC>2V21.....GB+GCḄᨬÇ92VH,...M!...ᦑ⌱A.您..¡ABḄA¢N.£EN,EC,GN,¤EH1CD¥CDḄ¦§¨H.ᑭᵨᐰ«Ḅឋ3宏..ÉuNGNB=60஺.¢GḄ®¯°±²¨NG,ᵫ“S4S”012EGNNABGN,67.-E......GB=GE,Ë8GB+GC=GE+GCNEC,j8ECᓽ6⚪..翔......⚪ὃ>ÌÍᣚ.°±.ÎḄឋ.Ï.ᐰ«ḄᑨÐ,ឋ«Ñ...氐.OOÒ.⚪ḄᐵÓÔÕÖ×ᵨØÙ¨.᪀⌼ᐰ«⚪.ÓÔᵨÍᓄḄ|}...塘.|ὃ⚪.ÜAὃ×ὃ⚪Ý.......tti..17.ூᫀ௃1堞郦堞ßx=2áᐭ&/+mx—6=0,..........74+2m—6=0,..K-........&7m=1..®.......OOᦑᫀL..ßx=2áᐭ&/+mx-6=07ᑮTᐵznḄTᐗT3&.j8&Ḅᓽ6.....⚪⌕ὃ>(TᐗT3&.«*Ḅឋ.Tᐗ3&Ḅ«ÑÒ¢Ḅᳮ,E....F.é7ᑮ&4+2ê—6=0⚪Ḅᐵ...区氐......18.ூᫀ௃(1,T2)..........•:¢M(a,2)ᙠL▲.î|a|=l,..........•••¢M(-1,2),.O.O••¢Mᐵ¢(ñḄ¢Ḅᙶ᪗(1,-2).......ᦑᫀ(1,—2)...12⚓.ᐳ17⚓....

12ᐜOТMḄᙶ᪗./᪷1ᐵ¢(ñḄ¢.ôᙶ᪗õöᙶ᪗÷øùúᦪ.ûl78ᫀ.⚪⌕ὃ>?ᐵ¢(ñ¢Ḅឋ.⚪ḄᐵEFü(ñ¢Ḅᙶ᪗ýþ:ᐵ¢(ñḄ¢.ôᙶ᪗õöᙶ᪗÷øùúᦪ.19.ூᫀ௃y=—2x+2•Ï¨õϨy=-2x+5ÿ
.••Ḅ⊤y=-2x+b,•••(2,-2),-4+b=-2,:.b=2,Ḅ⊤y=—2%+2.ᦑᫀy=-2x+2.᪷Ḅ᪆Ḅ
ᦪ᪆
ᯠ"#$ḄḄᙶ᪗'ᐭ)ᓽ+.,⚪ὃ/01Ḅ2⚪
᪷Ḅ᪆Ḅk᪆3⚪Ḅᐵ5.20.ூᫀ௃<-2:y=mx+9x:;<(2,0),ᐵmx+n<0Ḅ?<-2.ᦑᫀx<—2.ᦪy=mx+nḄBCDᙠx:FGḄHᑖJKḄLMNḄOQᓽ>mx+n<0Ḅ?.,⚪ὃ/0ᦪ9ᐗ>ḄᐵSTᦪḄUVW
X3Y)Zᦪy=kx+bḄᜧ<(ᡈ]<)0ḄLMNḄOQ^TᦪBCḄUVW
X3_`y=kx+bᙠx:a(ᡈF)GHᑖᡠᨵḄḄeᙶ᪗ᡠ᪀ᡂḄ?ᔠ.21.ூᫀ௃(l)x-5=±4,ᡠiX1=9,x=1;2(2)x2-6x+6=0,4=(-6)2—4x1x6=12>0,

13..........-b±vb2-4ac6±2jX==3kj,OO2a2x1..ᡠi=3+V3>m=3—V3;....(3)4=22—4x1x(-2)=12>0,....-b±y/b2-4ac..X=-----------------=ko
2a郑郑ᡠi]——1+V3»x——1—V3;..2......(4)(x-3)(%+1)=0,..........x—3=0ᡈx+1=0,........ᡠi—3,%2——1.OO..ூ᪆௃(1)ᑭᵨtuGvGw^...鼠.(2)ᐜ#Gwᓄz
{|}᪷ḄᑨḄ
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ᯠ"ᑭᵨ)᪷ᑮGwḄ^.您.3宏(4)ᑭᵨᑖvGw.....-E.,⚪ὃ/0ᐗGw-ᑖvᑖvX3ᑭᵨᑖ)GwḄ.....翔..ḄGv
Gv᧕ᵨ
3ᐗGwᨬᵨḄGv.ὃ/0vᐗ......Gw.氐.OO...塘.22.ூᫀ௃(1)☢Uᙶ᪗S᝞Bᡠ:.......tti.堞堞郦............K-.........磐....冰.OO............(2)᝞B,&ᓽᡠ).区氐ூ᪆௃(1)᪷4Ḅᙶ᪗
_`☢Uᙶ᪗Sᓽ+^..........(2)ᑭᵨMᣚḄឋᑖ4BḄJK
ᓽ+...........,⚪ὃ/B-Mᣚ
☢Uᙶ᪗S
⚪Ḅᐵ53MᣚḄឋ,......OO<ὃὃ⚪.........14⚓
ᐳ17⚓....

1423.ூᫀ௃(1)¦§%2+mx-3=0,va=1,b=m,c=-3••2=b2-4ac=m2—4x1x(-3)=m24-12,vm2>0,:.TH2+12>0,,•¨>0,•©ª]«
¬Gwᨵ1®>Ḅ¯ᦪ᪷;(2)GwḄ±®᪷%1
ᑣ2.%1=*=3=-3,al3•••GwḄ±®᪷/ூ᪆௃(1)ᐜ#Gwᓄz
{|}ᑨḄᑮ4=^2+12>0,ᯠ"᪷ᑨḄµ¶ᑮ·ª^(2)ᑭᵨ1᪷¸¹-2_`GwḄ±᪷.,⚪ὃ/0᪷9SᦪḄᐵSº9
>3ᐗGwa/+v+c=0(a¼0)Ḅ1᪷½
]+&=—
ᓃᑮ=¿ὃ/0ᑨ.24.ூᫀ௃ÀÁt½
AP=2t,AQ=6-t,᪷⚪µt(6-t)=2t=3-V7ᡈt=3+᜛t3-V7ᡈ3+V7½
¨QAPḄ☢¹<2cm2ூ᪆௃ÀÁt½
AP=2t,AQ=6-t,⊤¨Q4PḄ☢¹ᓽ+ᑮᨵᐵtḄGw)ᓽ+.,⚪ὃ/0ᐗGwḄKᵨ
⚪Ḅᐵ53᪷BÄ⊤ÅUÄḄ1ÆTÇᑮᨵᐵtḄGw)ᓽ+.25.ூᫀ௃(/)ÈÉÊᐗ½ᑭËyᐗ
Ì⚪µy=(13.5-X-2.5)(500+100x)=-100x2+600x+5500^(஻)•.•y=-100x2+600x+5500=-100(x-3)2+6400(0

15..........•├ÎᓫÉ10.5ᐗ½
OᜧᑭË6400ᐗ.OO├ÎᓫÉ10.5ᐗ½ᑭËᨬᜧ
ᨬᜧᑭË6400ᐗ.....ூ᪆௃(/)᪷ÐᑭË=(¯▭ÎÉ-ÒÉ)x├ÎN
ᓽ+ᦪ᪆^....(஻)Ô(/)ᦪ᪆ÕG·ᔠḄOQᓽ+ᨬÖ×.....,⚪Ø⌕ὃ/ᦪḄKᵨ
ᳮ⚪µÛᑮ⚪ÜⅾÞḄᐵSᑡᦪ᪆3郑郑..⚪Ḅᐵ5.....................26.ூᫀ௃(1)¦§•,¨ABC3ῪÅUÄ,......OO:.AB=BC,Z.A=Z.C,.ñ..ñ.••ÔῪ448Cá⚔8⌮½┐GᔣaVᑮ¨418clḄæç
...M!.•ArB—AB=BCfZ-A—ZJli=zC,Z-A1BD=Z.CBC1,...您.ᙠ¨BAi஺9ABCé
3宏ê=zC...AB=BC,.-E..rZ.ABD=Z-CBF...1翔..........氐.(2)ëÆÄBCE3ìÄ
OO..ÔῪ4ABCá⚔B⌮½┐GᔣQVᑮ¨&BGḄæç
.塘...•zjli=Zi4,....tti,:Z.ADE=Z-AYDB,..堞郦堞:.Z.AED-Z-ABD=a,1......•
DEC=180°-a,.....K-ñ.....ñ..•••Z.C=a,...®....ñ.•]=a,..OñO••^ABC=360°-ê4i-zC-Z-AEC=180°-a,..rX..•Z.A=
C,
A]BC=Z-AEC,..11....•ëÆÄ&BCE3ëÆÄ
..:.AB=BC,区氐r....••ëÆÄ&BCE3ìÄ...........ூ᪆௃,⚪ὃ/0Ḅឋ
ᐰÅUÄḄᑨ`îឋ
ῪÅUÄḄឋ
ï_..........Ḅᳮ⚪µ3⚪Ḅᐵ5.....OO(1)᪷ῪÅUÄḄឋᑮAB=BC,ê4=ZC,ᵫḄឋᑮ=AB=BC,....44=N4=
C,^BD=4CBC1
᪷ᐰÅUÄḄᑨ``ᳮᑮ¨BCF48&D^....16⚓
ᐳ17⚓....

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