河南省各地（部分地区）2022-2023学年数学八上期末统考试题含解析

《河南省各地（部分地区）2022-2023学年数学八上期末统考试题含解析》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.⚪ὃᐜḄஹὃ!ᑏ#$ᩩ&ṹ()*ᙠὃ,-ᩩ&ṹ)*.஺2.⌱1⚪234ᵨ2B67!89:⌱1⚪234ᵨ0.5;<=⁐?@ḄA?7Bᑏ,?DE᦮ஹ7@#$஺3.Gᢥ᯿⚪JKᙠᔜ⚪MḄ⚪.NᑁPQR⚪.NBᑏḄᫀTᦔ9ᙠ₝WXஹ⚪ᔁ⚪Tᦔ஺4.Yᢝᓱ☢#]^⌕ᢚa^⌕bẚஹbd^4ᵨ8ᦋfஹghiஹjXᑐ஺lஹ⌱1⚪mno⚪3ᑖᐳ30ᑖr1.s
t1uᕜw᪥Ryᑮ{|}~ᙢẆ|}~ᙢ᪥150ᓟ<lᑖ᠒ᐜRy30ᑖlᑖᑮ|}~ᙢḄ᠒Ḅ1.2᝞᠒Ḅxᓟ

1A.ÇlÅ▲B.ÇÈÅ▲C.ǸÅ▲D.ÇÉÅ▲7,°ᑡÊËᦪÂ̶TᳮᦪḄᦪ()A.V?B.C.().101001D.8.᝞³lпÉÑ&XᱏᥟÔÕᔣ×ÑØ¿ÙÚÛÙÔḄÜ1c,",AB=2cm,N8=60஺ᑣÙÔᑖḄ☢Ý(ᓽ▢à☢Ý)()/7A.1cm2B.----cm2C.6cm2D.2^/3cm229,
a+b=3,ᑣ/+68ḄámrA.3B.6C.9D.1210.Ãâm-1,2ᐵ¶xäåæÃḄᙶ᪗mrA.(1,-2)B.(-1,2)C.(1,2)D.(-1,-2)Èஹ!ç⚪(no⚪3ᑖᐳ24ᑖ)11.èéᦪ2.019ê(ᑮëᑖìḄ.12.᝞³µÑAOWḄÑ·2,ᑣÃBḄᙶ᪗.13.ᢥlíîï᣸ᑡḄlᑡᦪ2',22,23,2\2\213.....Ûx,y,z⊤òóᑡᦪÂḄôõ¸Ëᦪö÷x,y,zøùḄᐵ¯ú.14.½¹y=2x-6«yäḄûÃᙶ᪗.15.᝞³ᙠRtAABCÂNA5c=90஺AB=BC=8,ÛÃMᙠ5cü8M=2,ÃNAClýÃᑣ8N+MNḄᨬoá.16.ÿᨵ
᪷4cm,9cmḄᩈᡭῪᑣḄ᪷ᩈ

2Ḅcm.17.᝞ᙠAABCZABC=90°,A5=6,AC=10,BC=8,Dஹ£ᑖA3ஹACḄ""P#$OE%Ḅ&"BPஹCP,ᑣABPCḄᕜḄᨬ)*.18.#ABCZC^90°,ZB=30°,,-AB=6,ᑣACḄ.ஹ./⚪1ᐳ66ᑖ319.10ᑖ3ᙠ-AABC"EᙠAB%"DᙠCB4#%5ED=EC.প7"EAB"8᝞জAEDB1:“>”“<”ᡈ“=”3ABCᳮᵫFফ7"EAB%HI"8᝞ঝAEDB1:“>”“<”ᡈ“="3,ABCᳮᵫF1MNOP"EQEF஻BC,RAC*"F
বᙠ-aABC"EᙠT#AB%"DᙠT#BC%5ED=EC.U4ABCḄ-1,AE=2,VWXYATZᑏY\ḄCDḄ.20.6ᑖ3᝞BᙢᙠAᙢḄ^_`ᔣ
ᙢ\b280km.X,B
ᙢcdᨵᩩ_ᓅgᔣḄhijk5A,B
ᙢᑮmᩩhijkḄbn\.%ᓤ8%00pqrᙠhijk%stḄuvw*AᙢḄ^ᓭ`ᔣPᜐz%ᓤ8%20,Bᙢ{|}vᙠ~Ḅᓅ`ᔣQᜐ}$hijk▲i110A,”/O}vᔲist21.6ᑖ3vᑮ᪥⌕P$ᐜ%ᚁᚁḄkᙠm$k%v

3ḄbnS(ᓟ)vḄ8dt(ᑖ)cdḄᦪᐵ᝞ᡠNV᪷/ᑡ⚪O(1)¢᪥8ᚁkᓟF(2)ᚁḄi£ᓟ/ᑖF(3)U8ᢥ¦k§5%ᚁḄi£¨©ᚁḄi£ª¨©«¬vgm$kḄ8dᑖ.22.(8ᑖ)᝞P"A(1,3)Ḅᦪy=kx+6(kWO)Ḅ®ᑖx¯y¯\R*B,C
".(1)°kḄ)F(2)T#1y¯\R*"D(0,2),#$BC\R*"E.(i)UT#1±BOCᑖᡂ☢´µ1
2Ḅ
¶ᑖ°T#1Ḅᦪ⊤¸¹F(ii)ºZAD,U4ADE»AEῪḄῪ°¼½ᩩ¾Ḅ"EḄᙶ᪗.23.(8ᑖ)ÁÂa+b=3,ab=2,°Ãᦪ¹a3b+2a2b2+ab3Ḅ).24.(8ᑖ)Ä(1)(V3-2)(V3+2)-|3V27-^°l——-\3(2)+-\/3--\/3j+A/12-i-y/3

4x+4y=14(3)&'()%x-3y-3_1-43~~U.25.
10ᑖ1᝞,1ᙠAA8C./ZBAC=90°,AB=AC,01/஻234A,80J_015/CE_L015/ᚖ7ᑖ894஺ஹE.;<%DE=BD+CE
2᝞,2=1.Ḅᩩ@ᦋ9%ᙠAA5C./AB=AC,஺ஹ4ஹ£C4Dᙠ01/”F/GHᨵN5ZM=NAEC=N3AC=a,ᐸ.a9KL┦NᡈPN.QRSTOE=BO+CEUᔲᡂXY᝞ᡂX/QZ[<\]^_ᡂX/Q`\ᳮᵫ.E-DAEmDAE,প,226.
10ᑖ“eᓄ”Uᦪh.Ḅijk⌕mn/ᓽpqrḄR⚪eᓄᡂt៉ḄR⚪/pvᩖḄR⚪eᓄᡂxᓫḄR⚪/pz{ḄR⚪eᓄ9ᐹ}ḄR⚪.
1Q~᪷2h3Ḅ;[☢,
1.NA+NB+/C+ND+NEḄᦪ]
2^,
1.iN/᝞,
2,Q~;[NA+NB+NC+ND+NE+NFḄᦪ]ব^,ফ.ḄNi/~ᵫ⚪ফ.ᡠḄ'ᡈ/n,3.ḄNA+NB+NC+ND+NE+NF+NG+NH+NM+NNḄᦪᔩY⌕ᑏ[ST/_◤⌕Åὃ/ᫀiஹ⌱⚪⚪3ᑖ/ᐳ30ᑖ

51ஹcூᑖ᪆௃Ë᠒vḄi£Xᓟ/8ᑣÍvḄi£L2Xᓟ/8᪷⚪IÎqgP150ᓟÍvµ᠒vÏᵨ,8ᑡ`ÑᓽÎ.2ூÓ.௃Ë᠒vḄi£xᓟ/8ᑣÍvḄi£L2xᓟ/8,᪷⚪IÎqO--1=-^-x21.2%ᦑ⌱C.ூ"Ö௃×⚪ὃØÙᵫÚ▭⚪Ü®Yᑖ¹`Ñ.⚪ḄᐵÝÞß⚪IàYᔠ〉Ḅãᐵ,ᑡ`Ñ.2ஹBூᑖ᪆௃᪷⚪Iᵫ`Ñäå¢mᓽÎqᑮyxḄᐵ¹æsᑨèᓽÎ.|\+/஻=4জூÓ.௃..G±ঝÃᐭজqOx+y-3=-4,ᑣx+y=-l.ᦑ⌱OB.ூ"Ö௃×⚪ὃØ.ïᐗ`ÑäñIòóᑭᵨåᐗḄõöåᐗḄ`÷ᨵOÃᐭåᐗ÷øùåᐗ÷.3ஹCூᑖ᪆௃ᑖ᪷úᐰü`j¹ஹᔠAýþ⚗Ḅ
ᑣஹᓫ⚗⚗ᦪḄ◀

ᑣ⌲ᑨᓽ.ூ௃A.(a+b)2^a2+2ah+b2,ᦑ⌱⚗┯B.3a2-22=3a2-4.ᦑ⌱⚗┯;C.-2(a—1)=-2஺+2,ᦑ⌱⚗%&D.ᦑ⌱⚗┯ᦑ⌱C.ூ'(௃⚪*⌕ὃ-᦮Ḅ/0ஹ1ᐰ3456ᦪ7Ḅ◀
8⚪ᐵ:;<=>?@A
ᑣ.

64ஹBூᑖ᪆௃᪷OA=OB,OC=OD<\#ODBgAOCA,ᑮNOAC=NOBD,᪷NO=50஺/ND=35஺ᓽ°±ᫀ.ூ³&௃&%OA=OB,OC=OD,ᙠ40´8µ4OCA./OB=0A

7BCD▲(+,7ஹDூ᪆௃᪷JKᳮᦪ;K▲MNOPᦪ8ᡈὅSMT4Ḅᦪ8⌲UVᑨᓽ.ூ௃WA.X=2;ᨵᳮᦪ8Mᔠ⚪[B.Q=-2;ᨵᳮᦪ8Mᔠ⚪[C.0.101001;ᨵᳮᦪ8Mᔠ⚪[D.V2;Kᳮᦪ8\ᔠ⚪[.ᦑ⌱D.ூ'(௃]⚪*⌕ὃ^_KᳮᦪḄ`a8b[c᪷dḄ⌕SMT4e;Kᳮᦪ8ᡈὅK▲MNOPᦪfKᳮᦪ.8ஹCூᑖ᪆௃hiSj3VCklḄmfa,iSn3VCklḄ☢pfb,ᑣa-b=km,᪷JqrsᦪḄtuvw3VCklḄx,yzᩭ|ᔠ3VCklḄ☢p5@Aᓽ.ூ௃Wᵫ3VCklḄkAB=2cm,NB=60஺8t3VCklḄxfWh=2sinB=~cm.hiSj3VCklḄmfacm,iSn3VCklḄmfbcm,ᑣa-b=lcm,ᑣiSᑖḄ☢pfWS=ah-bh=(a-b)h=lx^=ᦑ⌱C.ூ'(௃⚪*⌕ὃ^3VCklḄឋ8⚪Ḅᐵ:;ᵨᜧ☢p0P☢pḄ4
UVMᑣl☢pḄ@A.9ஹCூ᪆௃Va+b=3,:.a2-b2+6b=(a+b)(a-b)+6b=3(a-b)+6b=3a-3b+6b=3a+3b=3(a+b)=9,ᦑ⌱C.10ஹDூ᪆௃᪷Jᐵx'Ḅᙶ᪗ᱯ'Wᙶ᪗M8ᙶ᪗fᦪyᑮᫀ.

8ூ³&௃4P
-1,2ᐵÑxðñḄ4Ḅᙶ᪗9-1,-2,ᦑ⌱O.ூ4·௃Ù⚪ò⌕ὃº»ᐵÑxðñ4Ḅᙶ᪗ᱯ4/ᐵÇUÃÄ4Ḅᙶ᪗Ḅóᓄ.èஹô⚪⚪3ᑖ/ᐳ24ᑖ11>2.1ூᑖ᪆௃᪷îõöᐭ°ø&±¸⚪.ூ³&௃2.019஺2.1
ùÞᑮúᑖû/ᦑ±ᫀ92.1.ூ4·௃¸⚪ὃºüýᦪµᨵᦔᦪÿ
⚪ḄᐵᦪᨵᦔᦪḄ.12ஹ
1,73.ூᑖ᪆௃BBD1.OAD,ᑣNBDO=90஺᪷!"#$%ឋ'()OD,᪷*+,ᳮ()BD,ᓽ/0)ᫀ.ூ2
௃
3᝞5BBDJ_OAD,6IJNBDO=90஺.
.0D=AD=-0A=-x2=\22ᙠRtABDO8ᵫ*+,ᳮ03BD=-12=5.•.;BḄᙶ᪗>3
1,V3.ᦑᫀ>31,6.ூ;@௃⚪ὃBC!"#$%Ḅឋ'ᙶ᪗D5%*+,ᳮ.EF)GHI᪀⌼RtABDO
LM⚪Ḅᐵ.13>xy=zூ
᪆௃N⚪ᑖ᪆3OPᦪQRS/TU7x22=2122x23=25,23x2'=2®……ᡠWX

9ᑡᦪJᡠḄ;nᦪḄpBqᦪ.᪷JXஹyஹz⊤¢ᑡᦪ£Ḅ¤¥qᦪ8ᑣxஹyஹz¦§Ḅᐵ¨;xy=z.ὃ'W©ª⚪.14ஹ
0,-6ூᑖ᪆௃«x=0v¬yḄ8ᑣvᫀ.ூ௃Wᙠy=2x-6£8«x=0y=-6,¯y=2x-6°yḄ±'ᙶ᪗f0,-6,ᦑᫀfW0,-6.ூ'(௃⚪ὃ^_²sᦪD³'Ḅᙶ᪗ᱯ´8>?sᦪD°ᙶ᪗±'Ḅv
;⚪Ḅᐵ:.15ஹ10ூᑖ᪆௃µ'B¶BOJ_ACO,·mBOᑮB*¸OB=OB,¤yMB',±ACN,]¹MB'=MN+NB'=MN+BNḄᨬPூ௃W¤yCBVBO±AC,AB=BC,ZABC=90°,I.,.ZCBO=-x90°=45°,2VBO=OB',BO±AC,.*.CB'=CB,.•.ZCB'B=ZOBC=45O,.,.ZB'CB=90°,ACBIBC,᪷J»¼`ᳮMBMO,MBḄm½¾;BN+MNḄᨬP.ᦑᫀfW10ூ'(௃

10⚪ὃ^-ᨬÀÁ¯Â⚪»¼`ᳮ.&`Ã'EÄÅƹ8¸BN+MNḄᨬP;ᐵ:.16ஹ1ூᑖ᪆௃⚪ÇÈwᩩPÊmf4cm61cmᡭAÌῪqrl8ÎÏᨵÐ&ῪஹᑖÑ;Ò8ᡠ⌕UVÓÔ8Õ⌕¬ᵨqrlḄqkᐵ¨Ö×ØᔲÚᡂqrl.ூ௃WÜBq᪷;4cm¹8ᐸqkᑖÑf4cm,4cm,km,M\ᔠqrlqkᐵ¨8ᦑÞßÜBq᪷;1cm¹8ᐸqkᑖÑ;1cm,1cm,4cm,\ᔠqrlqkᐵ¨,Bq᪷m1cm.ᦑᫀfW1.ூ'(௃⚪ὃ^_ῪqrlḄឋ6qrlḄqkᐵ¨àtÏᨵÐ&Ὺ6kḄ⚪Ç`⌕áᑮâãä8ᑖåUVÓÔ8Õ¬Ö×ᔜâãä;ᔲØ᪀ᡂqrlUV8¢'èéê⌕8ë;⚪Ḅᐵ:.17ஹ1ூᑖ᪆௃ᵫ⚪[WÜ'P°'Eêᔠ¹8ABPCḄᕜmᨵᨬP8ᓽfAC+BCḄm½8ᵫ]UV@Aᓽ.ூ௃NABC=90஺,DஹEᑖÑfABஹACḄ£'8ADE1AB,ADE;¯íABḄᚖ3ᑖ¯8Ü'P°'Eêᔠ¹8ABPCḄᕜmḄᨬPBE=AE,᝞ᡠW/.BPCḄᕜm=EC+BE+BC=AC+BC,XVAC=10,BC=8,AABPCḄᕜm=10+8=1.

11ᦑᫀfW1.ூ'(௃ὃ^_-ᨬÀÁ¯Â⚪8⚪ᐵ:ᑭᵨ¯íᚖ3ᑖ¯6'ñò¯íᨬÀᑮ'P°'Eêᔠ¹8ABPCḄᕜmᨵᨬP.18ஹ1ூᑖ᪆௃᪷J⚪[8ówl8ᯠj᪷J10°ᡠḄrk;õkḄöᓽvw|Ô.ூ௃W᝞ᡠW2ᦑᫀfW1.ூ'(௃]⚪ὃ^Ḅ;rqrlḄឋ8>?10°ᡠḄrk;õkḄö;÷]⚪Ḅᐵ:.qஹ⚪øᐳ66ᑖú19ஹ
1=,ᳮᵫû᪆
2=,ᳮᵫû᪆3û᪆ூᑖ᪆௃1᪷Jkqrlឋ6ῪqrlḄឋvwND=NECB=30஺8vwZDEB=30°,vwBD=BEᓽ
2µE¶EF஻BC±ACF,vwkqrlAEF,×aDEB64ECFᐰ8vwBD=EFᓽ
3ÜDᙠCBḄ·m¯³8EᙠABḄ·m¯¹8ᵫ2vwCD=3,ÜEᙠBAḄ·m¯³8DᙠBCḄ·m¯³¹8vwCD=1.ூ௃W1=,ᳮᵫ᝞zWVED=EC:.ZD=ZECD•.'ABC;kqrlZACB=ZABC=60°

12••;E>AB8;AZBCE=ZACE=30°,AE=BEAZD=30°AZDEB=ZABC-ZD=30°AZDEB=ZDABD=BEBD=AEফ;EEF஻BC,[AC;F:ABC!"#$%ZAEF=ZABC=60°,ZAFE=ZACB=60°,ZFEC=ZECBAZEFC=ZEBD=120°VED=ECAZD=ZECDAZD=ZFECᙠAEFCZXDBE8/D=/FEC!"#$%AAE=EFADB=AE(3)
3CD=1ᡈ3,ᳮᵫ3ᑖ>]^_`3জ᝞53,AAMJ_BCM,EEN_LBCN,6RJAM஻EN,

13•••ABC;kqrl8AAB=BC=AC=1,VAM±BC,ABM=CM=—BC=—,22VDE=CE,EN±BC,ACD=2CN,VAM/7EN,AAAMB^AENB,.AB_BM,11••------=-92-12.BN=213ACN=1+—=-,22ACD=2CN=3ঝ᝞4,¶AM_LBCM,µE¶ENJ_BCN,ýøIAM/7EN,•••ABC;kqrl,AAB=BC=AC=1,VAM±BC,.11ABM=CM=—BC=—,22VDE=CE,EN±BC,ACD=2CN,VAM/7EN,.AB_BM

14.*.CN=1—=.,.CD=2CN=1,ᓽCD=3ᡈ1.ூ'(௃⚪þᔠὃ^_kqrlḄឋ6ᑨ`8ῪqrlḄឋ8ᐰqrlḄឋ6ᑨ`,qrlḄ᜜ឋḄᵨឋᑨ⚪Ḅᐵ.20ஹ!"ூ᪆௃&⚪ᑖ᪆(᪷*⚪+,ᑮAB=280,ZP=45°,NPAC=90஺ZABQ=45°,ᑣNACP=45஺NBCQ=45஺0AH^PQ1H,᪷*⚪+ᨵAH=BQ,345ACH^ABCQ,ILLBC,6!]AC=BC=-AB=14J5᪷*Ὺ8Ḅឋ,PC=J^AC=28,CQ=y=14,ᡠ:PQ=PC+CQ=42,ᯠ<᪷*=>?@ABḄ==126km/h,3C110km/hDEᓽGᑨH!".&⚪᪆(᪷*⚪+G,AB=280,ZP=45°,ZPAC=90°,NABQ=45஺.,.ZACP=45°,/.ZBCQ=45°,0AH_LPQ1H,ᑣAH=BQ,ZAHC=ZBQC,ᙠKACHLBCQMZACH-ZBCQ>ᑠ=80,...AACH^ABCQ(AAS),

15BC.♦.PC=5C=28,CQ=PQ=PC+CQ=42,a•\cdḄef=*=126(km/h),5V126km/h>110km/h,...cdiejkC21ஹ(1)2(2)0.5(3)1ூᑖ᪆௃(1)᪷⚪lmᦪ5n/W0ᑮpᚁrḄsft(2)᪷mᦪ5n8Ḅᦪ/W(ḄuvpᚁḄeft(3)᪷⚪l/W(0uvwᚁḄefxy(0uvz{|◤⌕Ḅ|.ூ2
௃(1)ᵫ⚪l5n/03uv᪥|pᚁr>33-1=2(ᓟ).ᦑᫀ>32(2)uvpᚁḄef>324-(10-6)=0.5ᓟ/ᑖ.ᦑᫀ>30.5(3)uvwᚁ|Ḅef>31+6=)ᓟ/ᑖᦑuv{dXrḄ|362J_1+0,5=1(ᑖ).6ᦑᫀ>31.ூ;@௃⚪ὃBCmᦪ5n
⚪Ḅᐵ⚪l)ᡠ(⚪◤⌕Ḅᩩ.22ஹ(1)-3(2)(i)y=±x+2
(u);EḄᙶ᪗>3(ᒹ£,"25)ᡈ(3,5523).2ூᑖ᪆௃(1);AḄᙶ᪗ᐭmᦪy=kx+68ᓽ/
0kḄt(2)(i)ᐜ()BCOḄ☢᪷I1¡aBOCᑖᡂ☢£>1
2Ḅ]¤0)CDEḄ☢᪷#$%☢¥¦0)EḄ§ᙶ᪗§ᙶ᪗ᐭy=kx+6ᓽ/0ᑮEḄᙶ᪗;EḄᙶ᪗ᐭII⊤©¦ᓽ/()Iூ⊤©¦t(ª)«;E(m,-3m+6),᪷];Ḅ¬¥¦ᑡ)¯°
0;EḄᙶ᪗.ூ2
௃(1);AḄᙶ᪗ᐭmᦪy=kx+6±
03k=-3

16(2)mᦪy=-3x+6ᑖ²Dx³y³´[B,C];ᑣ;BஹCḄᙶ᪗ᑖ²>3(2,0)ஹ(0,6)(i)SABCO=-xOBXCO=-x2X6=6,22I1¡ABOCᑖᡂ☢£>1
2Ḅ]¤ᑖ6RISZ\CDE=2ᡈ4,ySCDE=XCDXXE=x4XXE=2ᡈ4,6!)4=1ᡈ2,ᦑ;E(1,3)ᡈ(2,0),;EḄᙶ᪗ᐭII⊤©¦±
03I1Ḅ⊤©¦>3y=±x+2(ii)«;E(m,-3m+6),y;AஹDḄᙶ᪗ᑖ²>3(1,3)ஹ(0,2),ᑣAE?=(m-1)2+(3-3m)2,AD2=2,ED2=m2+(4-3m)2,µAE=AD|(m-1)2+(3-3m)2=2,
035+3^(»ᔠ⚪l½¾);m=5.3µAE=ED|Àᳮ/03m=—2Áw;EḄᙶ᪗>3(2Â15-9.)ᡈ(3,3).5522ூ;@௃⚪ὃBCI
᪆¦ḄÁᔠ⚪ÃÄI
᪆¦Ḅ
Åஹ#$%☢¥¦ஹ];Ḅ¬¥¦ஹ!Ὺ#$%Ḅឋ'ஹᐗ¯°Ḅ
Å
⚪Ḅᐵ.23^ab(a4-b)2,18ூᑖ᪆௃ᐜ¡03È+2/02+஺3ᑖ
ɦÊ᦮Ìᐭ(ᓽ/.ூ2
௃
3c^b+la^+ab3=ab^a2+2ab+b2^=+.Q+஻=3,Q஻=2ᐭ0Ц=2x3?=18ூ;@௃⚪ὃBḄᑭᵨɦᑖ
(ᦪ¦ḄÃÄɦᑖ
Ḅ¯Å3ӥɦť¦Å

17
⚪Ḅᐵ.x=324ஹ(1)0(2)1(3)]11ூᑖ᪆௃(1)ᙠxjÕᦪÖ×|⌕ØÙÚᑮÛÚᓽᐜ×ܯஹݯÊ×Ü◀ᨬà×áâᨵãäḄ⌕ᐜ×ãäå☢ḄÀÚÖ×⌕ᢥ᯿ØèᑮᨵḄéêxj.(2)ᐜᑭᵨë¯ì¥¦᪷¦Ḅ◀ÅÅᑣÖ×ᯠàᔠ±ᓽ/t(3)¯°îᑭᵨáâïᐗÅᓽ/
.(1ஹTூ2
௃প
3(V3-2)(V3+2)-|3A/27I---=342(3)=-1+1=0(2)
3Ц=23+J12+3=-1+2=1(3)
3¯°î᦮ᳮᡂñ¦03x+4y=14জ<3x_4y=-2ঝজ+ঝ034x=12
0x=3,x=3ùজ033+4y=14,
03y=?4x=3ᡠW¯°îḄ
>11.y=7ூ;@௃M⚪ὃBÕᦪḄÖ×úᢣᦪ■ý᦮ᦪᢣᦪþë¯ì¥¦᪷¦Ḅÿᔠ
,ᐗ⚪ᐵᙠ
ᑣ.25ஹ(1)᪆(2)ᡂᳮᵫ᪆ூᑖ᪆௃(1)᪷#AAS$%A&ᑮAD=CE,ᓽ)$%(2)*ᳮ$%AAOBg/XCEA,&ᑮAE=BO,AD=CE,ᓽ)$%ூ+௃$%,(1)-.CEJ_-.5.ZBDA=ZCEA=90°,

18'ZBAC=90°,.ZBAD+ZCAE=90°,VZBAD+ZABZ)=90°,.ZCAE=ZABD,\•ᙠA4஺834CEA4NABD=ZCAE?@AḄᑨDEឋG⚪ḄᐵHIJᐰ>?@AḄᑨDDᳮ.26ஹ(1)180°(2)360-(3)10800.ூᑖ᪆௃(D᪷#?@A᜜@ḄឋG3?@Aᑁ@3Dᳮ)&NA+/B+NC+ND+NEḄMᦪ(2)᪷#?@A᜜@ḄឋG3OPAᑁ@3>360஺)&NA+NB+NC+ND+NE+/FḄMᦪ(3)᪷#Q4)RSTUNA+NB+NC+ND+NE=180°,VWXYZ[@ᑣ\]^180Mᵫ8ᓽ)_S`ᫀ.ூ+௃(1)VZ1=Z2+ZD=ZB+ZE+ZD,Zl+ZA+ZC=180",:.ZA+ZB+ZC+ZD+ZE=180"(2))VZ1=Z2+ZF=ZB+ZE+ZF,Zl+ZA+ZC+ZD=360",

19/.ZA+ZB+ZC+ZD+ZE+ZF=360°3bc)defQ1ᑮQ2)defXYZ[@ᑣ\]^180M,ᡠdhYZ5[@i]^j180X5Mk!INA+NB+NC+ND+NE+NF+NG+NH+NM+NN=180X5+180=1080°.ூ67௃9⌕ὃ