江苏省东台市第一联盟2022-2023学年数学九年级第一学期期末调研模拟试题含解析

《江苏省东台市第一联盟2022-2023学年数学九年级第一学期期末调研模拟试题含解析》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
ᦪᔁ
⚗1.⚪ὃᐜḄஹὃᑏᩩṹᙠὃ!"ᩩṹ#஺2.⌱&⚪'()ᵨ2B+,-./⌱&⚪'()ᵨ0.5012⁐45Ḅ64,7ᑏ489᦮ஹ,5஺3,;ᢥ᯿⚪>?ᙠᔜ⚪AḄ⚪#BᑁDEF⚪#B7ᑏḄᫀHᦔ.ᙠ₝KLஹM⚪ᔁO⚪Hᦔ஺4.Pᢝᓱ☢TU⌕ᢚXU⌕YẚஹY[U)ᵨ-ᦋ]ஹ^_`ஹaLᑐ஺cஹ⌱&⚪(ef⚪3ᑖᐳ30ᑖ)1.᝞klc᪷nopqrḄstkl())A.3.5B.4.2C.5.8D.73.uvwᱥyḄz᪆|}~=(x-2)2+1,ᑣᩩwᱥyḄ⚔ᙶ᪗l().A.(-2,1)B.(2,1)C.(2,-1)D.(1,2)4.᝞k,AB஺OᑗA,BO஺OC,DlACOcNCDA=27஺,ᑣNBḄᜧfl()C.36°D.54°5.⌕ᑮᦪy=2(x—l)2+3Ḅkᦪy=2x2Ḅk()A.ᔣ1ᓫ¡ᔣO3ᓫB.ᔣ1ᓫ¡ᔣ¢3ᓫC.ᔣ£1ᓫ¡ᔣO3ᓫ

1D.ᔣ1ᓫᔣ3ᓫ6.ᢥ᝞Ḅ᤮"#⚔%C&'(ᔠ*CA&*FE(ᔠ⚔%BஹCஹ஺ᙠᩩ/01.3OE'4Ḽ%'ᢥ⌮7┐9ᔣ:;஻஺=0<«<1801,᝞?R4஻DE,@A஻ḄBC#17.᝞ᙠᡧF஺46GZAOB=90°,OA=2,ᑣ▢JKᑖḄ☢NC#1A.2B.ᐔC.2TID.7T—28.᝞PQAAO8Rᐭ404CT%஺UVGWḄVFXAAO8RḄᕜZ[U1
2,%8Ḅᙶ).C.(—1,4)I).(-4,2)9.᝞A,B,C,DC஺OḄ^%_AC,BD`a%P.bNA=NC=40஺ᑣNBPCḄᦪU#

2AB.80°C.50°D.40°10.᝞%DஹEᑖcᙠAABCḄd*BAஹCAḄe0ᑡᩩghᑨjED஻BCḄC().ADAEB.-----=-----ABBCACABC.ADAB=DEBCD.ADAC=ABAE.lஹmn⚪(pq⚪3ᑖᐳ24ᑖ)11.᝞sᱥ0y=-g(x+1)(x-9)&ᙶ᪗v`aAஹBஹC%DU⚔%wxAC,BC.%PCysᱥ0PFᙠz{▲ᑁḄ%.~%PyvḄ0`BCa%E,wxAP`BCa%F,ᑣḄᨬᜧBU_______.AF12.ᑖ
-4=.13.sᱥ0y=-3(x-1)2+2Ḅᔣ,vU⚔%ᙶ᪗U.14.᝞ᙠFABCDGNB=60஺AB=2,MU*ABḄG%NU*BC%(&%B(ᔠ)3aBIVlN/0MNᢚ%Bᙠ%EᜐwDEஹCE,4CDEUῪF7BNḄU.

315.᝞T%0UVGW3^*FA5C஺ᢥ1
2"ᜧᑮ^*FA®஺஺ᑣ^*FA5C஺&^*FḄ☢N[C.C'16.᝞/0y=*+l&sᱥ0y=/—4x+5`aA,3d%%PC1'vḄ%A7%8Ḅᕜᨬq7S"AB17.᝞BCJLyvBCVOA,%Aஹ%CᑖcᙠxvஹyvḄvDC0BC%BD=-OA=2,4AB=3,NOAB=45஺EஹFᑖcC0OAஹABḄd%X¡ᢝNDEF=45஺3AAEFᩩ*£ᢚ£ᢚ¤=dF¥ᡂḄ^*FUFᑣ0OEḄBU18.ᑏ¨©~%0,0
,#-2,0
Ḅlª«ᦪḄ᪆#ᑏᓽ®1.ஹ¯⚪#ᐳ66ᑖ119.10ᑖ1ᙠ°±²³Gᡃµ©±¶ᵨᑮ¸¹º᝞MNC»¸ºḄ¼½C»¸ºḄᡲ¿AB&¼½wᩚ஺EḄ஺%Áj%EÂ4ᔣ8ᜐÃÄÅ8C4Ḽ;v3:;.PQwᩚ8cḄU20c/n,

4BD=cm,ÄÅ&ᡲ¿ḄÆ.1
ᡲ¿&ÄÅḄᜳNA஻C=30஺7᝞জ%EÂA%ÃÉ2“஻ÊwᩚOEḄ.2
ÄÅ8cÂ1
GḄ:;ᑮ&¼½ᚖ/᝞ঝ.ÊÍ~ÎG%EÃḄÏÐ.#x?¡ᶇ᪷Ó120.6ᑖ1¤Ôὶᦟ×ØÔÙÚ᪍ÜÝÞ~“à²áâãḄ9äC⊡æCçèéêëC▅í▅í,▅í”.æ᜜▅íð®TñòᡃµóᡂôõḄõö.÷ᓭù᪥¥û²ᑭᵨæý7þÿ

᪥ᑖᕜ▅ᑴ᦮Ḅ⚣ᦪᑖ⊤"⚣ᦪᑖ#$%᝞%ᡠ(:*+⚣ᦪ,ᑖ-0

5¤¥¦§ὁ©9Dª«¬Ḅ«ᦪ®¯°±᝞¢²ᓫ³´2020281520253020121330251520101020172426“¶·¸¹”«¬f»᪷¼Oᦪ¼½ᑴF⚣ᦪᑖÀ⊤Â⚣ᦪᑖÀÃpkḄcÄᑖ᝞k:⚣ᦪᑖÀ⊤ᑖ»⚣ᦪ²ᓫᜩ´10qV15415

6ADBC24.8ᑖ+Omn├pqᖪsᡂuᓟw40ᐗyzᓟwp{|}ᡂu~}60ᐗnᜩḄ├py*ᓫ:ᓟw+ᓟwp{x*ᓫ:ᐗ+ᦪᐵᑖᦪ/᝞6⊤:p{X*ᐗ/ᓟw+455060├py*ᓟw+110100801
yxḄᦪ⊤@2
ᖪsᜩḄᑭw*ᓫ:ᐗ+ᑣᓟwp{xzLMᐗmnᜩḄᑭᨬᜧNᨬᜧᑭLMᐗN25.10ᑖ+$Ḅ¡¢$£¤¥1¡ᓫḄ¦$§ᙠ]¨S☢#ªᙶ᪗A8CḄ⚔®ᙳᙠ®[~°¡⚔®Ḅᙶ᪗ᑖ±41,-4
,B5,-4
,C4,-1
.1
²³A5Cᐵ}´®OµḄᵫiG,ᑏ³®GḄᙶ᪗@1
a³ABC¸Ḽ®A⌮┐$ᔣ½¾90஺ᑮḄABG.26.10ᑖ+ÁÂ:᝞%B,C,D°®ᙠ0A[NBCD=45°,PAêAABCḄÄPAḄÅ¥ÄÄCDe}®E.1
=ᙠ%Ƴ¡NCAPÇÈḄªÉ¡ª2
ᵨÈ⊤(ÄAC,EC,EDḄᦪᐵËÌ.

7Íὃ5ᫀஹ⌱Ò⚪*¢⚪3ᑖᐳ30ᑖ+1ஹBூᑖ᪆௃Ö×%ØᱥÚḄ[☢ÛᡠᑮḄ%§:ÜÝÛᑮḄᵨÞÄ⊤(ÛᑮḄᵨßÄ⊤(.ூàá௃᝞%ᡠ(:Ö×%âAᦑ⌱:B.ூ®ä௃u⚪ὃa%-°×%á⚪ḄᐵæçèÛᑮḄᵨÞÄ⊤(ÛᑮḄᵨßÄ⊤(.2ஹDூàá௃á:᪷/ᚖÄᨬêëÂAPḄ¥ë¢}3'.•ABCZC=90°,AC=3,NB=30஺.AB=1,.•.APḄ¥ᜧ}1.A3

8...NB=90°-54°=36°.ᦑ⌱C.ὃᑗḄឋ.5ஹCூ᪆௃ᑮᱥḄ⚔᪷ᱥḄ⚔ᓽᑨ᝞!"#$ᑮ.ூ%௃..e=2(*—1&+3Ḅ⚔ᙶ᪗*(1,3),y=2x2Ḅ⚔ᙶ᪗*(0,0),.•.,ᱥy=2x2ᔣ."#1ᓫ01ᔣ2"#3ᓫ0$ᑮᱥy=2(x-1A+3ᦑ⌱C.ூ3௃4⚪ὃ6789:ᦪ<=>?!@ᣚBCDEᢕGḄ"#HIJKLᐵN⚔ᙶ᪗.6ஹAூᑖ᪆௃PL

9ூ3௃4⚪⌕ὃ6ᡧQ☢{JSTQ☢{ᡧQ☢{⚪ḄᐵN.8ஹAூᑖ᪆௃0*k,ᐜ᪷ᕜKLkḄ1᪷BḄᙶ᪗ᓽ$LBᫀ.ூ%௃0

10EDAnDFA.V—=—,NEAD=ZBAC,øᔠô¤âᡂ-úûᜳªÇÈḄÇý°ª§ᑨzzᳮ.ABBCÿᑨAM
AABCᓽ஺E//BC,ᦑ⌱⚗┯;ADAEBஹ-ACAB'.■ZEAD-ZBAC,.AADEs.cB,;./E=NB,ND=NC,ᓽDE//3C,ᦑ⌱⚗┯;4»npCஹᵫ=—,ZMESMAC,ᓽND=N8,ᓽBCAD!"#ᦑ⌱⚗┯DஹVADAC^ABAE,ADAE-AB-AC*AEAD=ABAC,\DAE^\BAC,.AD=AB,.DE//BC,ᦑ⌱⚗$%&ᦑ⌱'D.ூ)*௃⚪ὃ./012Ḅឋ56ᑨ76"#!Ḅᑨ7Ḅ8ᵨ:⌕ὃ.<=Ḅᳮ6?᪆ABC'ᨵEF8GḄHIJKGḄᜳ1IḄ012.NஹOP⚪QRS⚪3ᑖᐳ24ᑖV8111ஹ—40ூᑖ᪆௃᪷XYᱥ!Ḅ[᪆\]^AஹBஹCḄᙶ᪗ab]^ABஹBCஹACḄc᪷Xd7eᦪ]^!BCḄ[᪆\gPNLBC,ᚖijN.ᐜlmPNEs^BOC,ᵫ012Ḅឋ5PN=noPE,ᯠqrlm10

11PFN-AAFC,ᵫ¨STQḄឋ$ᑮPF:AF>mḄ:ᦪᐵÄÅÆK$”Ḅᨬᜧ.AFூ%௃•••ᱥy=-g(x+l)(x-9)>ᙶ᪗ÉÊrAஹBஹCS.*.A(-1,0),B(9,0),Ëx=0,ᑣy=l,AC(0,1),•••BC=yloB2+OC2=A/92+32=3V1OÌBCḄ᪆*y=kx+b.9k+h-01•••,BஹCḄᙶ᪗Íᐭ$஺$k=-Ïb=Lb=33ÌBCḄ᪆*y=-1x+l.PḄᙶ᪗*m,ᑣᙶ᪗*-5(m+1)(m-9),E(m,--m+1),33PE=----(m+1)(m-9)-(------m+l)=-----m2+lm.333ÐPN_LBC,ᚖÒ*N.•.•PE஻yÉPN±BC,ZPNE=ZCOB=90°,ZPEN=ZBCO..'.PNE^ABOC..Ó8"_9_3M.g3710nn3Ö/12,\PN=------PE=--------m2+lm).10103VAB2=(9+1)2=100,AC^P+1^10,BC2=90,AAC^BC^AB2.:.ZBCA=90°,TNPFN=NCFA,

12.,.PFN^AAFC.ØÙÚ(-J+3ÜÝ2+2m=Ý(m-2)W.1nAFAC——ᯅ----101010240gpFQi.•.ßm=1CàḄᨬᜧ*8.2AF40Q1ᦑBᫀ*—.40ூ3௃4⚪⌕ὃ6Ḅ89:ᦪḄ±ᔠáᵨB4⚪⌕áᵨ789:ᦪ<=2Ḅᙶ᪗ᱯãஹ9:ᦪḄ᪆ஹePFῪSTQḄឋஹåæ´ᳮḄáᵨV³¨STQḄçè>ឋK$>mḄ:ᦪᐵÄ⚪ḄᐵN.AF12ஹab(Z?+2)(Z?-2)ூ᪆௃éêëìJìëᑖ.ூᑖ᪆௃⌕,í⚗ᑖëḄîïð✌ᐜòᔜ⚗ᨵõᨵëöᨵëᑣ÷øéêLᩭc1úûᔲýᐰ"^ᡈ"^ÿ
ὃ⇋ᵨᑖ.
a—4ab=-4)="(/?+2)(஻2).13ஹx=l(L2)ூᑖ᪆௃᪷y=a(x-h)2+kḄឋᓽ!"#ᫀூ%௃V-3<0,•••'ᱥḄ)*ᔣ
Vy=-3(x-1)2+2,-.ᦪḄ⚔1
,2'ᱥḄ345x=l,⚔1ᙶ᪗8(1,2),ᦑ#ᫀ8:
x=L(1,2)ூ1;௃<⚪>⌕ὃ@A,-.ᦪḄឋ
BCDE,-.ᦪḄFGHIឋ⚪ᐵK.14ஹ|■ᡈ1ூᑖ᪆௃ᑖOGPQ:জSDE=DCT
UVDM,WDG_LBCXG,ᵫZHḄឋ"[AB=CD=BC=LAD/7BC,AB//CD,"[NDCG=NB=60஺
ZA=110°,DE=AD=1,][DG=JiCG=^
BG=BC+CG=3,ᵫᢚ`Ḅឋ"EN=BN,EM=BM=AM,ZMEN=ZB=60°,abADMg/lEDM,"[NA=NDEM=H0°,a[DஹEஹNF1ᐳ
dBN=EN=xcm,ᑣGN=3-x,DN=x+l,ᙠRSDGNg
ᵫhijᳮ"[lm
lmᓽ!nঝSCE=CD

13p
CE=CD=AD,T1EqArᔠ
Nq1Crᔠ
CE=CD=DE=DA,ACDEtuFvH
BN=BC=1wCE=DExGPQynூ%௃:ᑖOGPQ:জSDE=DCT
UVDM,WDG_LBCXG,᝞{1ᡠ}:•.•~uHABCDZH
.*.AB=CD=BC=LAD஻BC,AB஻CD,NDCG=NB=60஺
NA=UO஺
DE=AD=1,VDG±BC,:.ZCDG=90°-60°=30°,1/.CG=-CD=L2.DG=CG=,BG=BC+CG=3,•••M8ABḄg1
ᵫᢚ`Ḅឋ":EN=BN,EM=BM=AM,ZMEN=ZB=60°,ᙠaADMAEDMg
AD=ED

144pᡠ
S4CDE8tῪFvHT
BNḄ8,ᡈ1n4ᦑ#ᫀ8:1ᡈ1.{1ூ1;௃<⚪>⌕ὃ@Aᢚ`ᣚḄឋஹZHḄឋஹᐰtFvHḄᑨjqឋஹhijᳮ
DEᢚ`ᣚḄឋஹZHḄឋஹᐰtFvHḄᑨjqឋஹhijᳮ⚪ḄᐵK.15ஹ1:1.ூ᪆௃᪷ᣚḄឋj"ᑮ~uHA5CDq~uH4
l00,
᪷uHḄឋᓽ!.ூ%௃:108g
¡~uHABC஺ᢥ1:2¤ᜧ"ᑮ~uH4,ᓝ஺ᑣ~uH45C஺q~uHATTCTT
¨81:2,~uHABCZyq~uHªTBOḄ☢¨1:1,ᦑ#ᫀ8:1:1.ூ1;௃<⚪ὃ@Ḅᣚ
᝞®O¯{H°±{H
²³3´⚔1ḄUµX1
3´u¶·¸
¹ºx᪵ḄO¯{H¼½{H.1216-.—.5ூᑖ᪆௃᪷534
!]"Á"ḄᕜᨬÄT1ÅḄᙶ᪗
ᯠ^][1ÅᑮA3ḄÈÉA3ḄÊ,ᓽ!]"APA6Ḅ☢
<⚪"Ì.y=x+lூ%௃ὶÎ".=x2-4x+5x=1x=4",ᡈÔuy=2U=5...1AḄᙶ᪗81,2y,13Ḅᙶ᪗84,5y,

15.
•AB=J5-2Ø+4-1y2=3A/2W1AᐵXy'5Ḅ341A'
UVA8qÛ5ḄµXP
ᑣTḄᕜᨬÄ,14Ḅᙶ᪗8T2y,1BḄᙶ᪗84,5y,dA'BḄ.ᦪ᪆8y=kx+b,,3-k+b-2/-5'4Ü+Ý=5
"Þ13
Ib=—I5313
A'BḄ.ᦪ᪆8y=13Sx=0T
y=fᓽ1PḄᙶ᪗8Þ0,
y
¡x=0àᐭy=x+ig
"y=l,•y=x+iqy'5Ḅᜳv45°,.•.1PᑮABḄÈÉ:f--l\sin450=-x^=^I5)5251rr4\/2ARABḄ☢:^5_12>2<⚪ὃ@,-.ᦪḄឋஹ-.ᦪḄឋஹ534-ᨬïðñò⚪
#<⚪ḄᐵKbó⚪ô
ᑭᵨᦪHöᔠḄ÷ø#.

1617ஹ6-·ᡈ6ᡈ9-3®ூᑖ᪆௃!"ᑮNDOE=NEAF,NOED=NAFE,ᓽ!ᑨjùDOEs/iEAF,ᑖPQú¸ûü:জSEF=AFT
AAEFýAEþᢚ
ᡠ"~uH8ZH
ú²"ᑮOEḄnঝSAE=AFT
AAEFýEFþᢚ
ᡠ"~uH8ZH
ú²"ᑮOEḄnঞAE=EF
AAEFAFᢚᡠᑮOEḄ.ூ௃OD,BHJ_xজḼEAᢚ᝞1
NOAB=45஺AB=3,.•.co="2VBD=—OA=2,2.*.BD=2,OA=8,/.BC=8-^1,2rn—#3%CD-o------;2,••FENA(/.ZFAN=90°,)EFAN(*+...AEF(,Ὺ./0/,VZDEF=45°,DE_LOA,.*.OE=CD=6-^1&2

17ঝvḼAFxᢚ᝞{2
BF|ᔠ.*.ZBDE=45O,V~G2ABDE"#~G2AE=BD=2,/.OE=OA-AE=8-2=6ঞvḼEFxᢚ᝞{3
.♦.AE=AF,VNEAF=45஺.•.AEFIῪ012)FgFMJLx)DgDN_Lx,...EFMSADNE,.FM_EM''~DN~~NEf

18!2AEAE--AE.2______2NE'NE=3-2.\OE=6-^1+3-12/1=9-30.2234ᡠ"OEḄ6-6ᡈ6ᡈ9-3⊈ᦑ:ᫀ6-<ᡈ6ᡈ9-3a.ூ=௃>⚪@⌕ὃCDᦪFGH3ᔠ⚪ḄᐵK(LM,Ὺ0/ḄឋOஹQRஹS*+ḄឋOᑭᵨ0/DᦪஹVWXᳮSZ[0/ḄឋOR\.18ஹy=x2+2x(:ᫀ^_`).ூ᪆௃c>)dDᦪḄ᪆ey=ax(x+2),fa=lᓽh.ூ௃•••iᱥk(0,0),(-2,0),...hc>)dDᦪḄ᪆ey=ax(x+2),la=lmᐭy=x?+2x.ᦑ:ᫀy=x?+2x(:ᫀ^_`).ூ=௃o⚪ὃCḄ(pXqᦪr\)dDᦪ᪆e>⚪stuឋ⚪v:ᫀ^_`.0ஹ:⚪(ᐳ66ᑖ)19ஹ(1)DE=2cm(2)yz{|E}~Ḅ(18-66)cm.ூ᪆௃(1)᝞1|DH_LBEH.\DH,BHᓽh⚪.(2)./0/\BEᓽh⚪.ூ௃(1)᝞1|OHJL8E//.

19ᙠ/?8£)”VZDHB=90°,BD=4
m,ZABC=30°,.DH=^BD=2y/3(cm),BH=6DH=6(cm),VAB=CB=2^cm,AE=2cm9AEH=20-2-6=12(cm),•*-DE=^DH2+BH2=7(2V3)2+122=2V39(cm).(2)ᙠKfABZJE,:DE=2,80=4NO5E=90஺:.BE=JDE?-BD2=66(.cm),K)EḄ(18-66)cm.ூ)*௃⚪ὃ.[1012Ḅ8ᵨ[⚪Ḅᐵ.20ஹ(1)25%,30(2)[᪆&(3)1800ூᑖ᪆௃(D᪷XᑖH6I1]mḄᵫ0KxV3Ḅ⚣ᦪ⚣᳛]ᦪᦪ¡¢F8ḄᑖH]nḄ&(2)ᦪ¡¢F8ḄᑖH]aḄ£b⊡ᐰ¦{&(3)ᦪ¡¢F8ḄᑖH^§ᫀ.ூ©[௃(1)ª«Ḅ<=ᦪj'10-10%=100()25...஻=—x100%=25%,n=100x30%=30.100ᦑ§ᫀj'25%,30(2)a=20%x100=20,⊡ᐰ⚣ᦪᑖ®¦{᝞[{ᡠ°;

20§'±²<=Rᕜ▅µ¶·XQ¶Vᙠ6Vx12¹ᑁḄᦪᨵ1800.ூ)*௃┯»ᑖ᪆'¼1
½জ¿ÀÁÂᔜEᑖH6I1;ঝᔜE⚣ᦪ6Iª«Ḅ᪵ᦪ&¼2
½ÅᑭᵨᔜEḄ⚣ᦪI᪵ᦪ¡ᔜEᡠᓰḄᑖHᩭ²É¼3
½᪵±²Ê¶Ëᶍ/⌕ᵨᦪ¡¶·Í“696912”K¶·ÍᡠᓰḄᑖH6.21ஹ1
7ஹ1,¦{[᪆&2
20Î.ூᑖ᪆௃1
᪷X⚪ÏᡠÐᦪXᓽ^aஹbḄ£b⊡ᐰ¦{&2
᪷X"ᙳᦪḄᭆÓᑡ\][^.ூ©[௃['Dᵫ⚪C20᜛Ö25Ḅᜩᦪa=7,25᜛Ö30Ḅᜩᦪ¦=1,⊡ᐰ¦{᝞Ø'ᦑ§ᫀj'7ஹ1.2
K20ᜩÙ½ÚὁÜÝgÞḄÙ½ÎḄ"ᙳᦪj'-10x2+12+13+15x2+17+20x6+24+25x2+26+28+30x2“x=------------------------------------------------------------------------------=2020§'K20ᜩÙ½ÚὁÜÝgÞḄÙ½ÎḄ"ᙳᦪj20Î.ூ)*௃ß⚪ὃ./⚣ᦪQ᳛Vᑖ®¦{"ᙳᦪ$%àá²{á²⊤ḄᦪX[⚪Ḅᐵ.22ஹl
x=4±V15&2x=lᡈx=ூ[᪆௃ä⚪ᑖ᪆'Dᐜåæᦪ⚗çᑮ¦ḄéGrå¦GêëìÎ⚗eᦪḄíḄ"¦å¦îGᑏðᐰ"¦Ḅ2\ᯠ

21ᵨ.tQ+r\(2)l+{Ḅ⚗ᑮᯠᵨeᑖr\.⚪᪆প•.•2-8X=T,.•.¡2`8¢+16=-1+16,ᓽ஺-4)2=15,¤Ux-4=±ᔍx-4+y/15;ফ•.♦3x(x-l)+2(x-l)=0,.•.(x-l)(3x+2)=0,¤!lx-l=Oᡈ3x+2=0,2x=lᡈ¡=`e.323ஹ§¨Ḅ©ª1«.ூ᪆௃c§¨Ḅ©ªx¬®₝°Ḅ±²³±©²ª´(16-2x),(9-x)®᪷¶⚪·+{+{ᓽh.ூ௃c§¨Ḅ©ªx¬᪷¶⚪·(16-2x)(9-¸)=112,X]=1,x=16.2V16>9,)x=16^¹ᔠ⚪·º»••x=1♦:§¨Ḅ©ª1¬.ூ=௃o⚪ὃC`ᐗ)d+{Ḅªᵨ½¾“₝°Ḅ±²³±©²”(o⚪ḄᐵK.24ஹ(1)y=-2x+200(40

2250k+8=100ñ(50,100)ஹ(60,80)òᐭ^'°õ60-+-=80k=-2[^'(D᪷0?@Ḅឋ)7!᜜GḄBCD9E,᜜G.ூ,௃G(1)᝞+A/CiIᡠ$G(-4,1)(1)᝞+ABGIᡠ$,ூ௃K⚪ὃ?@LM+Ḅ34?@+NḄឋ)⚪Ḅᐵ.

2326ஹ(1)NBAP(2)AC,EC,EDÕÖḄᦪËᐵqEC?+ED2=2AC2.×ØÙ᪆.ூᑖ᪆௃(1)᪷¶,Ὺ0/AABC0kᔠ`:ᓽh(2)EB,ᵫPA(ACABḄᚖ.QᑖkÜEC=EB.,NECP=NEBP,NECA=NEBA.ᯠÝZBAD=ZBED=90°,ᑭᵨVWXᳮhEB2+ED2=BD2,ÞᑮBD2=2AlVmᐭh\ḄEC?+ED2=2AC2Ḅ,Ëᐵqᓽh.ூ௃(1)•.•,Ὺ0/AABCßPA(à/AABCḄák•••PA(NCABḄ/Qᑖk.••NCAP=NBAP(2)AC,EC,EDÕÖḄᦪËᐵqEC2+ED2=2AC2.×ØEB,FADâF•B,Cãᙠ஺A4AC=AB,NACP=NABP.
PA(à/AABCḄákAPA(ACABḄᚖ.Qᑖk.VPAḄåkFkæCDâE,/.EC=EB.:.NECP=NEBP.:.ZECP—ZACP=NEBP—ZABP.ᓽNECA=NEBA.VAC=AD,:.NECA=NEDA.•.ZEBA=ZEDA■:NAFB=NEFD,ZBCD=45°,:.NAFB+NEBA=ZEFD+ZEDA=90°BPZBAD=ZBED=90°.•.EB2+ED2=BD2.VBD2=AB2+AD2,:.BD2=2AB2/.EB2+ED2=2AB2,r.EC2+ED2=2AC2

24ூ௃⚪ὃPᙊḄឋ)ஹRῪTUNḄឋ)V'WX!ᳮZL[\ᔠ⚪^_ᦪN`ᔠ.