宁夏银川市名校2022-2023学年八年级数学第一学期期末达标检测模拟试题含解析

《宁夏银川市名校2022-2023学年八年级数学第一学期期末达标检测模拟试题含解析》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

2022-2023
ᦪᔁὃ1.ᵨ2B⌱⚪ᫀᙠ⚪!"ᵨ0.5#$%&'⁐)*Ḅ,ᡈ.)/0⚪Ḅᫀᑏᙠ⚪Ḅ⚪2ᑁ஺ᑏᙠ⚪ᔁஹ₝7ᙳ9ᦔ஺2.⚪;"<=▅?⚪Ḅ@A⚗C"ᢥEF⚪஺Gஹ⌱⚪HI⚪4ᑖ"ᐳ48ᑖL1.᝞N"OῪA3CQ"AB=AC,ZA=20°.RSABḄᚖUVᑖRWABXO,WACXE,YZBE,ᑣNC5EOXHL2.]ᑡᔜ`Q"abᵨ“Vdef`”hij`ᑖkḄlHLA.X2-4XB.-஺2+ẚC.X2-4X+4D.-x2-lx=2,3.qrீ"ltᐗGvdw&+2y=6ḄGxk"yz஺Ḅ{|
JA.2B.-2C.4D.-44.᝞N"AABCḄ}~AB,BC,CAᑖl20,30,40,ᐸ}ᩩVᑖR4ABCᑖ|}x}"ᑣSAABO:SABCO:SACAOOXHLA.111B.123C.234D.3455.Gᦪ1,4,5,2,8,Ḅᦪᑖ᪆Ḅl
A.Vᙳᦪl5B.Qᦪl4C.del30D.᩽el66.᝞N"஺|O~}ᑁḄG"ZM=5,OB=4,OC=3,RSAO&A|Q⌮┐60°ᑮRS4T,]ᑡ:জ஺஺'Ḅ|5ঝNA£C=150°ঞAC஺'&ᵫAh┐60°ᑮ¡ট஺ᑮ

18’Ḅ3ঠᜐ=6+ᐸḄᨵA.2B.3C.4D.57.᝞!ABCNACB=90஺#CDᢚ%ACBD,&'Bា)*ᙠAC,ḄA.44°B.60°C.67°D.77°8.᝞Bஹ/ஹCஹEᙠ/ᩩ12,AB//ED,AC//FD,3456ᑡ/ᩩ89:;<ᑨ>ABCgZkOE?Ḅ@A.AB=DEB.AC=DFC.ZA=ZDD.BF=EC9.BC1DEDFGᱏḄIᩩ1DJᑖL“N஻P஻Q┦D⚔'TUGᱏVᡂIEDF.XYIEDFZ@[ῪEDFᑣA.—3m2+2mn+n2=0B.nr+2mn-n2=0C.2m2-2mn+n2-0D.3m2—mn-n2=010.2015b•deᨴὃ6ᑡᔜijkᑮmḄnF@oiᑖpḄ@A.a+5a-5=a-25B.a2-b2=a+ba-bC.a+b2-l=a2+2ab+b2-1D.a2-4a-5=aa-4-511.4Ḅz{|}᪷@A.V2B.2C.±2D.&

212.᝞N"ADlAABCḄVᑖR"DELAB,DFVAC,ᚖ£ᑖ|E,E,YZEF",¤AOWXG,]ᑡ¥¦§GFḄlHLA.DE=DFB.AD=BDC.EG=FGD.ADLEFtஹ¨⚪HI⚪4ᑖ"ᐳ24ᑖL13.©ᨵGxdᱏABCD,ᐸQAB=6,AD=10.᝞Nᡠ"ᢚ¯ᱏ"°A±ᙠ8c~Ḅ4ᜐ"ᢚ³|PQ,´A'ᙠµ¶"ᢚ³Ḅ·¸ஹQ¹º»µ¶.¼▲F¾ஹ஺ᑖᙠA3ஹAO~µ¶"ᑣA'ᙠBC~µ¶Ḅᨬᜧ|14.᝞N1
,ᙠ}ABCQ"NA=38஺NC=72஺"8c~Cᢥ⌮┐dᔣa0°«a<180஺L"ᙠÂwQHN2
,´"|á´C8'ᡠᙠURᚖUX45"|__________Ã.15.᝞N"!ABCÅUR஺Eᢚ¯Æ"°5AÇᔠ.qrAC=5cm,AADCḄᕜ|17cm,ᑣ8cḄ|.I772772+316-¼ᐵXXḄdwtr-TK9k'ᑣmḄ{|G

3ah17.qra+஻=—3aZ?,ᑣ3a+3b-ab18.¼a=2019,1=2020,ᑣM(a-2b)-a(a-b)2]+"Ḅ{|.}ஹk⚪(ᐳ78ᑖ)19.(8ᑖ)᝞Nজ"ᙠAABCQ"AB=AC,ÂABGDÏDE஻ACWBCXE,&E|⚔"ED|G~"ÏNDEF=NA,ÑG~EFWACXF.(1)ÒÓÔ~ADEF|ViÔ~¡(2)´D|ABQ"ᑨÖ஺ADEFḄס(3)ØNজQḄDEᑮG,°EG=DE,YZAE,AG,FG,ᑮNঝ"¼AD=AG,ᑨÖÔ~AEGFḄ×"Ú¥Ûᳮᵫ.20.(8ᑖ)᝞N"qrdA5CDdCE¸G᝞NÝ!"YZAG,AE.(1)ÒÓAG=AE(2)¸ÏX¸"WA3ஹAOXMஹN,WAEஹAGX¸ஹQ,BCH,.ÒÓNH=FM21.(8ᑖ)ᵬஹßàáᙠâᨴᜧ⊙åæஹåçஹådᔣᒴéêi2400$"ᐜᑮçḄáìᙢîï.qrᵬᐜðñ4ᑖò"ᙠ᦮xêiÂwQ"ᵬஹßàáôḄy($)ᵬðñḄôx(ᑖ)»ôḄᐵõ᝞NQᢚR஺4-AB-3C-CQᡠ.(1)ᵬḄéÃ|$/ᑖ"ßḄéÃ|$/ᑖ¡ßᵨᑖò÷ᵬ¡ßøùᐰwᵨûᑖò.(2)ᔠNüýᑏðGᩩþï.

4A௃
22.10ᑖ
1
ᑖᑡᑏᙠx2+4x+4=,16x2+24x+9=,9x2-12x+4=2
⚗Ḅᦪᨵ42=4X1X4,242=4X16X9,-12
2=4X9X4,!"#$%&⚗ax2+bx+ca>0
!'ᐰ)*ᑣ,ᦪᦪaஹbஹc./0ᙠ12ᐵ.জ67ᵨᦪ9:⊤Ḅᐵ?ঝAB⚪&⚗X?-2m-3
x+10-6m
!.'ᐰ)*DmḄE.23.10ᑖ1F9GHIJ᪥9LᕜN)ᙳPᜩRSTᡠᵨV>ḄWXYZHI[50\]9᝞_!᪷aHIᡠbᦪacᑴḄef_Ḅ.gᑖ஺6᪷aijkᑡB⚪পDmPᜩSTᵨV!4"VḄnᦪo⊡ᐰef_?2
qrHIḄᦪaFRSTᡠᵨV>Ḅsᦪ!—,Fvᦪ!—)ᙳᦪ!.?ব&x᪥ᐳᨵ1500\9L᪷aHIzfx᪥ᐰ{9LPᜩRSTV>ᙠ3"Vᑁ}3"VḄ]9ᐳᨵ~n24.10ᑖᑖ(1)a3-16«(2)8a2-8a3-2a25.12ᑖ᝞_AB஻CD,BC)ᑖNABD,N1=65஺,DN2Ḅᦪ.26.᝞_8ஹEஹCஹfᙠ.ᩩS.AB=DE,BE=CF,AB//DE.D

5AC//DFADFὃkᫀ.ஹ⌱⚪(P⚪4ᑖᐳ48ᑖ)1ஹCூᑖ᪆௃᪷aᙠABCFAB=AC,NA=20஺DmNABCḄᦪ᪷aᚖ)ᑖḄឋDmAE=BE,ᓽNA=NABE=20஺ᓽbmkᫀ.ூ௃ᙠAABCFAB=AC,ZA=20°,ᡠNABC=80°,GDEᚖ)ᑖAB,ᡠAE=BE,ᡠNABE=NA=20°,ᡠNCBE=80஺-20°=60°,ᡠkᫀ⌱C.ூ௃J⚪⌕ὃIḄᚖ)ᑖῪ¡Ḅឋ.ᐵ¢!£¤¥¦Ḅᚖ)ᑖḄᑮḄ¨©Ḅª«¬.2ஹBூᑖ᪆௃᪷a)*®Ḅᱯজ¨⚗?ঝ¨ᦪḄ)*°P⌱⚗±²ᑨ´ᓽ.ூ௃A.X2-4X=X(X-4),µ®±²ᑖᦑA⌱⚗·¸ᔠ⚪ºB.-a2+4b2=(2b+a)(2b-a),ᑭᵨ)*®±²ᑖᦑB⌱⚗¸ᔠ⚪ºC.X2-4X+4=(X-2)2=(X-2),¼ᵨ'ᐰ)*®±²ᑖᦑC⌱⚗·¸ᔠ⚪ºD.---1,·½ᑖᦑD⌱⚗·¸ᔠ⚪ºᦑ⌱Bூ௃J⚪ὃI[ᵨ)*®±²ᑖḄ¾⚪Ḅᐵ¢!¥¦)*®ᱯ.

63ஹAூᑖ᪆௃¿xÀyḄEÁᐭ*ÃfÄᓽDmaḄE.x=2ூ௃Áᐭ*Ãox+2y=6b=t1b2a+2=6ba=2ᦑ⌱Aூ௃J⚪ὃI[Æᐗ.r*ÃḄ*ÃḄᓽG½È*ÃÉʨˬḄÌᦪḄE.4ஹCூᑖ᪆௃ᵫ¡Ḅᩩ)ᑖḄÎG¡ḄᑁÏᑣOG^ABCḄᑁÏ,ÐOᑮËḄª«¬ᓽ¡ḄѬᑭᵨ¡Ḅ☢Ó®¡Ḅ☢Ó=ÔᓽG°ÕÖË=Ô.ூ௃ᵫ⚪ºOGABCḄᑁÏᑣOᑮËḄª«¬×ª«Gr,Ø!JSAABO=_AB,r,SABCO=_BC,r,SACAO=_AC•r,SAABO:SABCO:SACAO=ABBCAC=203040=234,ᦑ⌱C.ூ௃J⚪ὃI¡Ḅ)ᑖḄឋஹ¡ḄᑁÏஹ¡Ḅ☢Ó®ᐵ¢!£¡Ḅᩩ)ᑖ¬Î.q.!x¡ḄᑁÏ.5ஹBூᑖ᪆௃᪷a)ᙳᦪஹFvᦪஹ*Ú᩽ḄᭆÝᑖÞfÄb.ூ௃ᦪaßà᣸ᑡG1ஹ2ஹ4ஹ5ஹ8,ᑣqâᦪaḄ)ᙳᦪG1+2++5+8=%FvᦪG%*G;x[(1-4)2+(2-4)2+(4-4)2+(5-4)2+(8-4)2]=6,᩽G8-1=7,ᦑ⌱B.

7ூ'௃⚪⌕ὃ}p⚪Ḅᐵ@|ᙳᦪஹ¡ᦪஹ}N᩽Ḅᭆ¤.6ஹBூᑖ᪆௃¦§DD᪷¨©ªḄឋ¬AD=ADNDAD=60஺®ᑨ¯AADD[EDF°l±DD=5,®²জ´µᑨ¯ᵫAABC[EDFᑮAB=AC,ZBAC=60°,ᑣTAABD⌮¸┐©ª60஺9ABºAC»ᔠADºAD»ᔠ½@®²ঞ´µᑨ¯¿᪷¨ÀÁ>ᳮḄ⌮>ᳮᑮADD©1DEDFᑣ®²ঝট´µᑨ¯;ᵫ½SÆ∎ADCD=SAADD+SADDC,ᑭᵨ[EDFḄ☢ËÌiN1DEDF☢ËÌiÍz9®²ঠ´µᑨ¯.ூÎp௃pϦ§DD᝞•.•2ÐADÑ'A©ªÒ⌮¸┐©ª60஺ᑮ2ÐADS.,.AD=AD\ZDADf=60°,.•.ADD[EDFDDr=5,ᡠÑজ'.,ABC[EDFAB=AC,ZBAC=60°,.,.TAABD⌮¸┐©ª60஺9ABºAC»ᔠADºAD»ᔠ.•.AC
®ÑᵫAABDÔ'A⌮¸┐©ª60஺ᑮᡠÑঞ;.,.D'C=DB=4,•DC=3,ᙠADD'CV32+42=52,.•.DC2+DC2=DD",.,.DDfC1DEDF...NDCD=90஺•••ADD[EDFADD'=60°,...NADG4150஺ᡠÑঝ┯Ö,.•NDCD'=90°,.•.DC±CD\

8.•.'DᑮCDḄ3,ᡠÑট;"•'SADCD,=SAADD'+SAD,DC=52,×64=6+,ᡠÑঠ┯Ö.424ᦑ⌱ÏB.ூ'௃⚪ὃÚ©ªḄឋ¬Ï©ªÛ9IFᐰ[²Ý'ᑮ©ªÒḄÞ[²Ý'º©ªÒḄ¦2ḄᜳD[½©ªD.àὃÚ[EDFḄᑨ>ºឋ¬ÑáÀÁ>ᳮḄ⌮>ᳮ.7ஹCூp᪆௃ᑖ᪆Ï!ABCZACB=90°,NA=22஺,.*.ZB=90°-ZA=68°.ᵫᢚ%Ḅឋ¬®ÏNCED=NB=68஺NBDC=NEDC,:.ZADE=ZCED-ZA=46°....NBDCJ800-NADE=67஺.2ᦑ⌱C.8ஹCூp᪆௃â⚪ᑖ᪆ÏpÏ⌱⚗Aஹ5AB=DE®ᵨAAS´µᑨ>ᦑ⌱⚗┯Ö;⌱⚗Bஹ5AC=DF®ᵨAAS´µᑨ>ᦑ⌱⚗┯Ö⌱⚗Cஹ5NA=NDäåᑨ>!ABCgaDEF,ᦑ⌱⚗⌱⚗Dஹ5BF=EC®æBC=EF,ᯠ9®ᵨASA´µᑨ>ᦑ⌱⚗┯Ö.ᦑ⌱C.ὃ'Ïᐰ[EDFḄᑨ>.9ஹBூᑖ᪆௃è᪷¨[ῪEDFḄឋ¬NÀÁ>ᳮ®M+2஻"7-஻2=0,᦮ᳮᓽ®ëpm2+m2=(n-m\,2m2=n2-2/nn+irr,

9nr+2nm—n2=0•ᦑ⌱ÏB.ூ'௃ὃÚ[Ὺ1DEDF[ῪEDFḄឋ¬ÀÁ>ᳮᐵ@ìí[ῪEDFḄឋ¬᪷¨ÀÁ>ᳮᑮ[îᐵï.10ஹBூp᪆௃â⚪ᑖ᪆Ï᪷¨oiᑖp@T/ð⚗iªᓄᡂò᦮iËḄFi®óᫀ.pÏAஹ@᦮iḄõ<ᦑA┯ÖBஹT/ð⚗iªᓄᡂò᦮iËḄFiᦑBCஹ@᦮iḄõ<ᦑC┯ÖDஹöT/ð⚗iªᓄᡂò᦮iËḄFiᦑD┯Öᦑ⌱ÏB.ὃ'ÏoiᑖpḄ÷ø.11ஹBூp᪆௃â⚪ᑖ᪆Ï᪷¨z{|}᪷Ḅ>ø®4Ḅz{|}᪷@2,ᦑóᫀ⌱B.ὃ'Ïz{|}᪷Ḅ>ø.12ஹBூᑖ᪆௃᪷¨D|ᑖ2ឋ¬æDE=DF,ùæRtAAED^RtAAFD,úæAF=AE,᪷¨2Ðᚖ1|ᑖ2ឋ¬æᓽ®.ூÎp௃AD@AABCḄD|ᑖ2DEJ_AB,DF±AC,.,.DE=DF,ᦑA⌱⚗äüᔠ⚪÷VZAED=ZAFD=90°,—A஺ᙠRtAAEDNRtAAFD\,\DE=DF...RtAAED^RtAAFD(HL),/.AE=AF,VDE=DF,:.AஹDZᙠ2ÐEFḄᚖ1|ᑖ2,.•.EG=FG,ᦑC⌱⚗äüᔠ⚪÷AD_LEF,ᦑD⌱⚗äüᔠ⚪÷᪷¨BCäåúæEG=AG,ᦑB⌱⚗üᔠ⚪÷ᦑ⌱ÏB

10ூ'௃⚪ὃÚ2Ðᚖ1|ᑖ2ឋ¬D|ᑖ2ឋ¬ᐰ[EDFḄឋ¬Nᑨ>ḄÝᵨþ÷ÏD|ᑖ2,Ḅ'ᑮDIḄÞ[.ÿஹ
⚪⚪4ᑖᐳ24ᑖ13ஹ1ூ᪆௃᪷ᢚḄឋBA'APḄᐵ᪷ḄA'C,᪷ᳮA'C,᪷Ḅ"ᫀ.ூ%௃জ'PB(ᔠ*BA=BA=6,CA'=BC-BA'=10-6=1,ঝ'QD(ᔠ*ᵫᳮCA=1AD1-CD஺=8,CAᨬ./8,CA'ᨬ0/1,1A'ᙠBC3456Ḅᨬᜧ89:8-1=1,ᦑ"ᫀ:1.ூ1<௃=⚪ὃ?@ᢚAᣚᑭᵨ@ᢚḄឋᳮᑖEFG/⚪ᐵH.14ஹ701ூᑖ᪆௃ᙠJKLABCM᪷JKLḄᑁKᑮ/8=180஺-38஺-72஺=70஺᝞T1,'CB஻AB*᪷UVḄឋᓽᑮXGY᝞T2,'CB_LAB*᪷ᚖ[Ḅ\ᓽᑮXG.ூ%௃],••ᙠJKLABCMNA=38஺ZC=72°,.,.ZB=180o-38o-72o=70°,᝞T1.'CB஻AB*`aK=NB=70஺,.•.'CB஻AB*`aK:70஺Y᝞T2,

11'CB±AB*ZBCB,,=90°-70°=20°,`aK=180஺-20஺=1஺,.•.'CBJ_AB*`aK:1஺Yᦑ"ᫀ:]70Y1.ூ1<௃=⚪ὃ?@JKLḄᑁKUVḄឋpqḄrsTL/⚪ḄᐵH.15ஹ12cmூᑖ᪆௃ᑭᵨᢚAᣚḄឋs4஺=ᓽxyᑭᵨAO+CZ)=5Csᓽ.ூ%௃•••}~4BC[OEᢚ181A(ᔠ.•.AO=BD.'AC=5cm,~AOCḄᕜ:17cm,.AD+CD=BC=17-5=12(cm).ᦑ"ᫀ:12cm.ூ1<௃=⚪ὃ?@ᢚAᣚḄឋ᪷⚪s/⚪ḄᐵH.16ஹ-1ᡈ5ᡈ3(ᑖ᪆௃[ᑭᵨᐗᑖᑖᑖ᪆s"ᫀ.ூ%௃ᑖ]x+4+(-4)=+3,]=,'᪷+1=0*ᐗ,*=1,'+1஺0*5m-1ᑣx=-----=±4,m+1]᪷=5ᡈ.ᦑ"ᫀ:]1ᡈ5ᡈ-g.

12ூ1<௃⚪⌕ὃ?@ᑖḄpqᑖEFG/⚪ᐵH.117ஹ--.10ூᑖ᪆௃¢—=¤⁰,¦a+b=-3ab§ᐭᑖ,ᓄª«¬ᓽ•,ababூ%௃]-c7=^/7,3a+3ᓃ—cib3
4+¦a+b=-3ab§ᐭᑖab3a+b-abab-3
஻+b
-஻bab-9ab-abab-"10ab1=--.10ᦑ"ᫀ:-5.ூ1<௃⚪ὃ?ᑖḄ¬®᦮°§ᐭ±xVᓄª/⚪ḄᐵH.18ஹ-1.ூᑖ᪆௃²M³´MᑭᵨµᐰU·ᓫ⚗º»¼⚗±ᑣ½¾ᔠ¿ᑭᵨ¼⚗◀»ᓫ⚗±ᑣ½¾ᑮᨬªXÁ¦஺ÂḄ¬§ᐭ½¾ᓽ«s¬.ூ%௃$:²=a3-2a2b-a3+2a2b-ab2}]-rb2=-a9'a=l*²=-1.ᦑ"ᫀ:]-1.ூ1<௃=⚪⌕ὃ?@᦮º±ḄÃᵨÄqḄÅÆ¿ᓄᡂᨬªḄȦÉÊḄᦪ¬§ᐭ«ᓄª/ᐵHÌ.Jஹ"⚪ᐳ78ᑖ19ஹ1
ÍÎÏ᪆Y
2
ÐADEFḄLÑ:ÒLᳮᵫÏ᪆Y
3
Ó3LAEGF/ÔLᳮᵫÏ᪆.ூ᪆௃
1
᪷UVḄឋᑮNBDEÕNA,᪷⚪ᑮNDEF=NBDE,᪷UVḄᑨᳮᑮAD஻EF,᪷UVÓ3LḄᑨᳮÍÎY

13
2᪷JKLM×ᳮᑮDE=AC,ᑮAD=DE,᪷ÒLḄᑨᳮÍÎY23
᪷ØῪJKLḄឋᑮAE_LEG,᪷ᨵÛK/[KḄUVÓ3L/ÔLÍÎ.ூ%௃
1
ÍÎ]DE஻AC,.,.ZBDE=ZA,VZDEF=ZA,NDEF=NBDE,.AD஻EF,ÜTDE஻AC,...Ó3LADEF:UVÓ3LY2
]6DEFḄLÑ:ÒLᳮᵫ᝞Ý]•.•1D:ABM11AD=-AB,2•.•DE஻AC,1D:ABM11.,.DE=-AC,2VAB=AC,AD=DE,J.UVÓ3LADEF:ÒL3
Ó3LAEGF/ÔLᳮᵫ᝞Ý]ᵫ
1
Ó3LADEF:UVÓ3LAF஻DE,AF=DE,,:EG=DE,AF஻DE,AF=GE,Ó3LAEGF/UVÓ3LVAD=AG,EG=DE,AAEXEG,Ó3LAEGF/ÔL.ᦑ"ᫀ:]
1
ÍÎÏ᪆Y
2
ÒLY
3
ÔL.ூ1<௃=⚪ὃ?Ḅ/UVÓ3LஹÔLஹÒLḄᑨ®ÞßḄᑨᳮ/⚪ḄᐵH.20ஹ1
ÍÎÏ᪆Y
2
ÍÎÏ᪆.ூᑖ᪆௃
1᪷pLḄឋÍBG=DE,ᑭᵨSASÍÎABGgAADE,

14ᑭᵨᐰØḄឋᓽᑮXGY(2)àMáMKLBCâK,ãEFäABâT,᪷ASAÍÎMHKgAEDᑮAE=MH,ᑭᵨAASÍÎ77V/gAZMEᑮNF=AE,åyÍMH=NF,ᓽᑮXG.ூ%௃ÍÎ](1)•Ó3LABCDÓ3LCEFGᙳ:pLAAB=AD=BC=CD,CG=CE,ZABG=ZADE=90°,BC-GC=CD-EC,BPBG=DE,AABGg^ADE,.*.AG=AE(2)àMáMK_LBCâK,ᑣÓ3LMKCD:ÔLAZMKH=ZADE=90°,MK=CD,ZAMK=90°,AMK=AD,ZAMP+ZHMK=90°,♦FPAE,/.ZEAD+ZAMP=90°,AZHMK=ZEAD,:.^MHKgAAED,AMH=AE,ãEFäABâT,ᑣÓ3LTBGF:ÔLAFT=BG,ZFTN=ZADE=90°,V*ABGQAADE,ADE=BG,AFT=DE,VFP±AE,ZDAB=90°,AZN+ZNAP=ZDAE+ZNAP=90°,

15NN=NDAE,,ATTVF^AZME..♦.FN=AE,.♦.FN=MH,.,.FN-FH=MH-FH,.NH=FM.ூ௃J⚪ὃI[ë*¡Ḅឋì¡Ḅᑨ/Àឋᐰ¡Ḅᑨ/Àឋ£¤¥¦ᔜឋஹᑨ//ᳮ!⚪Ḅᐵ¢.21ஹ(1)60,80,12,30(2)ï᪆(kᫀ·ð.).ூᑖ᪆௃(1)᪷añᦪ_òFḄᦪafÄmᵬஹôḄõôᵨ~ᑖö÷ᵬôø'ᐰÃ◤⌕~V>?(2)kᫀ·ð.ú⌕¸ᔠ,▭ᓽ.ூ௃(Dᵫ_bᵬḄõG240+4=60(
/ᑖö)ôḄõG16X604-(16-4)=16X604-12=80(
/ᑖö)ôᵨ16-4=12(ᑖö)÷ᵬôø'ᐰÃᵨ[24004-80=30(ᑖö)ᦑkᫀG60,80,12,30(2)ᵬø'ᐰÃ◤⌕2400+60=40(ᑖö).ூ௃J⚪ὃI[ñᦪ_òḄÕᵨ⚪Ḅᐵ¢!ëýᳮ_òoDmᵬô¨nḄõᑭᵨᦪ¡ᔠḄþÿ
.22ஹ(1)(x+2)2,(4x+3)2,(3x-2)2(2)জb?=4ac,ঝm=±lூ᪆௃(D᪷ᐰᑖᓽ(2)জ᪷b2=4ac,ᓽ
ᫀঝᑭᵨজḄ⚪.ூ!௃(1)x2+4x+4=(x+2)2,16X2+24X+9=(4X+3)2,9x2-12x+4=(3x-2)2,ᦑ
ᫀ#(x+2)2,(4x+3)2,(3x-2)2(2)জb)=4ac,ᦑ
ᫀ#b2=4acঝ\,&⚗x2-2(m-3)x+(10-6m)()*ᐰ+

16/.[-2m-3
]2=4xlx10-6m
,m2-6m+9=10-6mm2=lm=±l.ூ-.௃/⚪ὃ123ᐰḄᳮ56ᵨ+7᪷ᐰb2=4ac(8⚪Ḅᐵ:.23ஹ1
8;<=>᪆
2
3?@+3?@+3?@
3
A

17X1Ḅᐵᭆ(⚪ᐵ:.24ஹ(1)a(a+4)(a-4)(1)-la(la-1)1.ூᑖ᪆௃(1)✌ᐜa,jᑭᵨᑖᓽ(1)✌ᐜ-la,jᑭᵨᐰᑖᓽ.ூ!௃(1)=a(a1-16)=a(a+4)(a-4)(1)=-la(4a1-4a+l)=-la(la-1)1.ூ-.௃8⚪⌕ὃ1ᑖ+⚪Ḅᐵ:(_Ḅ6ᵨ.25ஹ50°.ூ!௃⚪ᑖ᪆uᵫḄឋᑮNABC=N1=65஺+ZABD+ZBDC=180°,ᵫBCᑖNABD,JNABD=2NABC=13O஺+(ᑮ.uVAB/7CD,.••ZABC=Z1=65°,VBCᑖ/ABD,:.ZABD=2ZABC=130°,ZBDC=1800-ZABD=50°,.•.Z2=ZBDC=50°.ூ-௃/⚪ὃ12Ḅឋ5ᑖbc}-+8⚪Ḅᐵ:(gNABDḄᦪ+⚪¡¢+£¤ᜧ.26ஹ>᪆ூᑖ᪆௃᪷SAS¦§¨ABC^ADEFᐰ+©ªᑮNACB=NF,jᑮAC//DF.ூ!௃'AB//DE,NB=NDEF,\,BE=CF,.•.BE+EC=CF+EC,ᓽBC=EF,ᙠ4ABC^flADEF`

18AB=DE