2022-2023学年福建省龙岩某中学九年级（上）期中数学试卷（含解析）

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2022-2023
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0,-3,ÔÕLM~PḄᡠᨵÖÑᨬ×ḄÖḄØQA.4B.5C.8D.10ூᑖ᪆௃ᐜÚᑮM~Pᨬ×ḄÖ᪷#ᚖÍ´ᳮ\A8=2PB=2AP,᪷#ÜÝ´ᳮ\8P,ᓽ)\ᫀ.89MÞßÖABLOP,ᑣABMP~Ḅ஺஺Ḅᨬ×ḄÖàá஺8,ᑣᵫᚖÍ´ᳮ)9AB^2AP=2BP,ᙠRt^OPBÑPO=3,OB=5,ᵫÜÝ´ᳮ)9Þ8=4,ᑣA8=2P8=8,ᦑ⌱9C.10.᝞xAB஺஺Ḅ¥Í~CQᙊ±E~AC=3,NABCḄeᑖ4co~CD=\,ᑣ஺஺Ḅ¥ÍQ)

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11ᙠRtAWTÑᵨÜÝ´ᳮ)kᵫᚖÍ´ᳮ)AB=24T)8.ᦑ⌱9B.l.óô⚪T⚪4ᑖᐳ6⚪24ᑖ11.öÉ~AḄᙶ᪗Q-2,3,ᑣ~AᐵoI~1Ḅ~BḄᙶ᪗Q2,-3.ூᑖ᪆௃ᑭᵨe☢ᑁ~ᐵox19øᙶ᪗ùúᙶ᪗ûQüᦪ568.89~AḄᙶ᪗Q-2,3,ᑣ~4ᐵoI~1Ḅ~8Ḅᙶ᪗Q2,-3,ᦑᫀQ92,-3.12.öÉlNrᦪy=f+6x+cḄxyxḄE~Q-1,0,ᑣCḄ5.ூᑖ᪆௃ÿ-10ᐭy=N+6x+c,ᓽcḄ.T,0ᐭᦪ=f+6"+஺$1-6+c=0,c=5,ᦑ'ᫀ)5.13.+ᦪy=x2-2x+3ᓄ).x-m2+kḄ/0ᐸ$m,k)2ᦪᑣm+k—3.ூᑖ᪆௃ᐜᵫᦪ;ᓄᡂ⚔>0ᓽᑮ@ᦇḄBC.ᦪD=r-2%-3ᓄ)y=x-஻?2+k,ᑣy=/-2x+3=x-12+2,ᡠL஻?=1,k=2,ᡠLm+k=3.ᦑ'ᫀ)3.14.᝞OPOOCSᵫPOABV>OWX┐Z;31°\ᑮḄO/+>Dា^_ᙠA3abNAOCḄcᦪ)100°,ᑣND03ḄcᦪS38஺.ூᑖ᪆௃᪷gZ;hᣚḄឋkᑮ/AOD=31°,ZBOC=3r,lᔠO/noᓽ.ᵫZ;ḄឋkpZAOD=3r,ZBOC=31°,/DOB=ZAOC-ZAOD-ZBOC=38°,ᦑ'ᫀ)38஺.

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13:•$BCP91XACP(S4S),ᦑজ,BPL>B)Z;$WX┐Z;60°ᑮBQ,:BP=BQ,ZPBQ=60°,•••P3PQSy|}~/.PQ=BP=BQ=a,NBQP=60°=NPBQ=/BPQ,.ZABC=ZPBQ=60°,NABP=NCBQ,%BP=BQ,AB=BC,:•$ABP^ACBQ(SAS),.AP=CQ=a,/APB=NBQC,,:P©=2&,2஺2+஺஺=2/.,.pc2=pe2+ce2,.,/.஺஺=90°,.ZBQC=\50°=NAPB,ᦑঝ┯ZQPC=ZQCP=45°,AZBPC=105°,ᦑঞ*SMBP+S»BPC=SABQLS4BPC=SABPQ+S&PQC,SMB^BPC=^-a2+^a2=(2+)a1,ᦑট┯424ᦑ'ᫀ)জঞ.}ஹ'⚪(ᐳ9²⚪³ᑖ86ᑖ)17.µ¶:(1)(x+3)2-4=0(2)%2-4%-5=0.ூᑖ᪆௃(1)ᑭᵨ·ᐗµ¶-¹º»µ¼½¾noᓽ';(2)ᑭᵨ·ᐗµ¶-¿0ᑖ¼½¾noᓽ'.(1)(x+3)2-4=0,(x+3)2=4,x+3=±2,x+3=2ᡈx+3=-2,

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19ᡂḄ°±Ḅᨬᜧ☢m>ÎÏÐூᑖ᪆௃(1)᪷⚪ÒÓᑡyÕḄÖ×ؤÓ/Ù9(2)᪷⚪ÒᑮSᐵRxḄᐵ-lᯠᓄG⚔Sl|᪷⚪ÒᑡyᐵRxḄÇ8lÜÝÞÓᑮ«ᡂḄ°±Ḅᨬᜧ☢m./0(1)ᵫ⚪Òx(28-%)=192,/xi=12,X2=16,ᓽxḄ³>12ᡈ169(2)¯°±Ḅ☢mGS,S=x(28-x)=-f+28x=-(x-14)2+196,V-1<0,.•.x<14SåxḄæᜧÞæᜧx>14SåxḄæᜧÞç,(x>66«13,l28-x>15x=13,Séᨬᜧ³,êS=195,ᓽË«ᡂḄ°±Ḅᨬᜧ☢m>195m2.24.᝞L஺஺Ḅ\ìABḄPG10,íACPG6,NACBḄZᑖaQ஺஺RD(1)8cḄP.(2)î4஺BD,ᑨð"ABOḄñò'ᳮᵫ.óḄP.(3)COḄP.ூᑖ᪆௃(1)᪷ᙊᕜ
ᳮᑮ/ACB=90°,ᯠᑭᵨ÷øᳮÈùyBC9(2)᪷ᙊᕜ
ᳮᑮ/AOB=90°,|᪷
Zᑖaú/ACQ=/BCZ),ᑣ

20AD=BD,R>ᑨð"AB஺G8Ὺ\

ᯠ᪷8Ὺ\

ḄឋᑮBD=*AB=5᝞;(3)üBH±CDRH,᝞L&'"BC”G8Ὺ\

ᑮBH=CH=^BC=2᜜ᔊ|ᑭᵨ÷øᳮÈùy஺஻=3ÿ,
CH+஺”ᓽ.(1);AB஺஺Ḅ/.ZACB=90",ᙠRtz^ACBAB=10,AC=6,•-BC=VAB2-AC2=^(2)A8DῪ.ᳮᵫ᝞•AB஺஺ḄAZADB=90",VZACBḄᑖ!"஺O#D,:.NACD=/BCD,:AD=BD,43஺Ὺ:.BD=J^AB=5<;(3)=BHLCD>H,᝞$VZBCH=45°,...8CHῪBH=CH=%BC=4<,ᙠDW=V(5V2)2-(4^/2)2=3V2>:.CD=CH+DH=4<+3?=௃<.

21AD25.()*ᱥ!(aHO)%x1Ḅ"2A(-50),B(3m,0),ᐸm>0,%y1"#2C(0,-6),஺ᙶ᪗?2.(1)A஺b(ᵨCᨵmḄEF⊤H)I(2)᝞$2஺J*ᱥ!Ḅ⚔2ZABC=ZODCALḄM;f(3)PL=4ST*ᱥ!ḄUV1%x1"#2"X2"Ḅ!(Y0)%*ᱥ!"#2P,஺([ᙠUV1\])^PQ2`X2Ebᵨx1"*ᱥ!#2[Jᔲdᙠ2E,e!fEFḄhi%jkdᙠlAm2EḄᙶ᪗Ikn(2)X2DbDELy1"#2E,X2CbCF±OD"#2F,ᑭᵨpqAmCF6mḄhrᵫsin/A8C=sinNCOF,yᑮ{$-=/64+~,
AmḄMᓽ;v36+9m-/nV4+m^y=g-x2-x-6᪷᪷%ᦪḄᐵ((3)Am!᪆Ey=H-43rὶy=kx-4kym+XQ=8(1+k),ᑖAmE(4+4k,4d)F(4+4k,2/-8),rᵫ⚪y%=|2᮱+8|,AmḄMᓽ.(1)A(-0),8(3m,0),C(0,-6)ᐭy=or2+bx+c,

222am-bm+c=Oo9am+3bm+c=0'c=-6(2)X2஺b஺1"#2E,X2CbCEL03"#2[,2•Iy=-/2-x-6=-2(%-L)2~8,m*mm.DCm,-8),I.0D=42+6©C£>=
+2,1rl,?SAODE=*X6XCFXA+64,6m.CF=I,9v64+m♦B(3ª0),C(0,-6),.OC=6,BC=436+9nt2ZABC=ZODC,61nsinZABC=i6=/64+m29v36+9m*74+m2yL=±2&,Vm>0,,•᪷=2&I(3)dᙠ2E,e!fE[Ḅhi°ᳮᵫ᝞:•:L=4,.\y=-x2-x-6=—(x-4)2-8,88*ᱥ!ḄUV1!x=4,

23.H(4,0),•஻2ᙠ!µ=¶+஻·4%+஻=0,■•¹º-42,.\y=kx-4ᨌὶy8xX6,y=kx-4k᦮ᳮy½-(l+k)x-6+4Z=0,8.♦.xp+x0=8(1+Z),JPQḄ2.E(4+42,4·2),EELx1.F(4+4A,2^-8),.EF=\2lc+S\,2...¾=.+8|,