2021-2022学年湖南省永州市宁远县七年级（下）期末数学试卷（附答案详解）

《2021-2022学年湖南省永州市宁远县七年级（下）期末数学试卷（附答案详解）》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。

2021-2022
ᓭḕ
ᦪᔁஹ⌱⚪ᜧ⚪ᐳ10⚪ᐳ40.0ᑖ1.ᑡ!"#$%&ᐗ(!"Ḅ*A.4%—y=5B.3a—b=2cx2=3D.2+3=0X2.+,!"-&;ᑣx—y0*()A.5B.-1C.0D.13.ᑡ3456Ḅ*()A.a3-a2=a5B.(a2)3=a5C.(aZ?)2=ab2D.a3+a2=a54.Iᑡ78#*9:;78<:;9ᩩᦪᨬ?Ḅ*ᑡᔜ3ABᑮDḄE8#*F3ᑖGḄHA.ax+bx+c=x(a+b)+cB.x2—1=(x+l)(x—1)C.x(a—b)=ax+bxD.x2—1+y2=(x+l)(x—1)+y26.+,54-1IJ20K30LMḄNO᦮ᦪ᦮◀ᑣRNO᦮ᦪ*()A.25,27B.26,28C.24,26D.22,247.᝞7TUa,bJcᡠWᑣ41X42*A.YZ[B.ᑁ┯[C.Y^ᑁ[D._⊡[8.NOᐰbḄ5cd8᝞7᤮fXA4BC☢hiYḄOj[8*

1EDA.^ABDB.AABEC.AABFD.p4BG9.ᵬஹuஹvஹwxyz4(ᦪ{|ᡂ~ḄᙳᦪY!ᑖ*Sஹ=36,S=24,S3=25.5,S2J.=6,ᑣRxyzḄᦪᡂ~ᨬḄ*A.ᵬB.uC.v10.᝞7ᡠO!8ᱏEFᢚD,Cᑖᙠ஺C'ḄZ¡.EFB=65°,ᑣu4E஺'b%A.70°B.65°C.50°D.25°&ஹ¤¥⚪ᜧ⚪ᐳ8⚪ᐳ32.0ᑖ11.§¨-஻«.a6=.12.¬ᦪx,y°±!"-ᑣ2%+/2஺22=.13.+,ab=2,a-b=-4,·¸¹02ºab?=.14.F3ᑖGa-4a=.15.᝞7H¼½#Ḅ¾¿ᑮCᜐÁÂCÃCD%஺---------------------------ᯠCDÅÆR᪵ÈÁÉᡠÅḄÆ⍝ᨬËRÌͧBḄÎÏ*.C16.᝞7TUAB,CDJBCᡠWAB஻CD,41=45°,AZ2=35°,ᑣ43=.Ñ.D17.¬Ò,x,X3ḄᙳᦪH3ᑣ5X+1,5ᡭ+2,5X3+3ḄᙳᦪH2Õ2⚓ᐳ17⚓

218.Nd×ØḄNO[ᐸ#O[ḄÑᦪ*ÚO[Ḅ3ÛÜ20஺RNO[ḄÑᦪᑖ*.jஹGÝ⚪(ᜧ⚪ᐳ8⚪ᐳ78.0ᑖ)19.G!"-ÞßOফ■â320.ᑖGF3:(1)-8ax2+16axy—8ay2(2)(x2+9y2)2-36x2y2.21.+,(7+mx+71)(/-3x+2)#iä&⚗æx⚗çm,nḄ0.22.èᡂ☢Ḅéê᝞7BEᑖ44BD,DEᑖ4BDC,<4a+N0=90஺çéAB//CD.èᡂëᳮÂ"BEᑖu4BD(+,)ABD=2za().•••OEᑖ4BDC(+,)BDC=2()•••4ABD+Z.BDC=24a+24=2("+)()•••Na+/᜛=90஺(+,):.ABD+Z.BDC=180°().AB//CD().23.᝞7ᡠAABCḄ⚔ᑖH4(3,5),B(-6,1),C(-l,3).পÃðAABCᐵ%x9:;Ḅ78p4B1Gò(2)ᑏð&ஹBiஹGḄᙶ᪗ò

3(3)çp4BCḄ☢h.24.Hᨵᦔ■úûüýþÿ
Ḅᝤᝤᑮ⏀
2ᒹ3ᒹ⏀ᐳ◤19ᐗ
5ᒹ1ᒹ⏀ᐳ◤28ᐗ.(1)ᒹᒹ⏀Ḅᓫ(2)ᝤᝤ50ᐗ!ᐰ#ᵨ%&⏀(()⌕),-.ᨵ0123ᫀ525.6789:;⃩=>
ᨵ89ஹ@A9ஹBA9ᜧ89DE
ᐳ200F
ᔜH89FᦪJKLᡧNOPQ.(1)DER7:;⃩=>Ḅ@A9ᐳᨵSTF5(2)=>UVὅXYDER7:;⃩=>Ḅᡠᨵ89[\]89ᣎ_.`a89Fᣎ_5ᐗ
@A9Fᣎ_10ᐗ
BA9Fᣎ_15ᐗ
ᜧ89Fᣎ_20ᐗ
.bᙳFᣎ_dSTᐗ5(3)ᙠ(2)Ḅᩩgh
ij89Ḅᣎ_ᦪk(lᐗ[ᓫm)nnophᩭ
ᑣᙠRUᦪsA
tᦪdST5u4⚓
ᐳ17⚓

426.᝞Q1,AB//CD,Z.PAB=130°,/.PCD=120°,y4PCḄzᦪ.NḄ{|d}~PPE஻A8,~bឋᩭN/1PC.(1)ᢥḄ{|
NAPCḄzᦪ(.⚪)(2)᝞Q2,AB஻CD,PᙠOM>
oNP4B=a,PCD=0,PᙠBஹ஺>
.44PCaஹᨵᦪᐵ5-ᳮᵫ}(.⚪ᵨ)(3)ᙠ(2)Ḅᩩgh
᝞aPᙠBஹD᜜>(P஺ஹBஹ஺¡ᔠ),-£¤ᑏ¦N4PCaஹ•Ḅᦪᐵ(¨©¦ªḄQN).

5«ᫀ¬᪆1.ூ«ᫀ௃Aூ¬᪆௃¬}4²ᔠ³ᐗn73´Ḅµ¶
d³ᐗn73´
ᦑ&⌱⚗²ᔠ⚪ºB.dᐗn73´
d³ᐗn73´
ᦑ&⌱⚗²ᔠ⚪ºC.dnᐗ³73´
d³ᐗn73´
ᦑ&⌱⚗²ᔠ⚪ºD3´¾¿d᦮Á
d³ᐗn73´
ᦑ&⌱⚗²ᔠ⚪º.ᦑ⌱:A.᪷s³ᐗn73´Ḅµ¶⌲nᑨÆᓽÈ.É⚪ὃˬ³ᐗn73´Ḅµ¶
¬⚪ᐵÌdÍγᐗn73´Ḅµ¶}ÏᨵjÐÎᦪ
¨(ÏᨵÐÎᦪḄ⚗Ḅ7ᦪ)d1Ḅ᦮Á3´ÑÒ³ᐗn73´.2.ூ«ᫀ௃B2%+y=7জூ¬᪆௃¬}3Ôn:%+2y=8ঝ'ঝx2-জß}3y=9,y=3,iy=3âᐭঝß}%=2,(x=2ᑣx-y=2—3=-1,3Ô³}জnঝßᑮ}x-y=-l,ᦑ⌱}B.&⚪✌ᐜ¬3´U¬
ᯠèâᐭxஹyߦ«ᫀ.&⚪ὃËḄd¬³ᐗn73´U
ᐵÌdᐜ¬3´U
éâᐭê.3.ூ«ᫀ௃Aூ¬᪆௃¬}ëஹa3-a2=a5,ᦑ4²ᔠ⚪ºBஹ(a2)3=a6,ᦑ8²ᔠ⚪ºCஹ(ab)2=a2b2,ᦑC²ᔠ⚪ºDஹa3a?ðᔠ¨
ᦑ஺²ᔠ⚪ºu6⚓
ᐳ17⚓

6ᦑ⌱}A.᪷sñḄò3óḄò3
ᔠ¨ôH⚗
ôõᦪöḄòÔÔᑣ
÷Pø⌲nᑨÆᓽȬ«.É⚪ὃËùḄò3óḄò3
ᔠ¨ôH⚗
ôõᦪúḄòÔ
ÍûüýþÿḄ
ᑣ⚪Ḅᐵ.4.ூᫀ௃Cூ᪆௃ஹᨵ1ᩩ8ஹCஹᨵ5ᩩDஹᨵ3ᩩᡠᩩᦪᨬ!ḄC⌱⚗.ᦑ⌱C.᪷&Ḅឋ()*+ᔜ⌱⚗ḄḄᩩᦪᯠ.⌱/ᓽ1.2⚪ὃ45Ḅᭆ7Ḅᐵ89:;ᑖᢚ>.1?ᔠ.5.ூᫀ௃Bூ᪆௃4BCḄDEFG᦮CḄIḄCᓽJKᑮDḄMNOPCᑖᦑ2⌱⚗Qᔠ⚪RS8JKᑮDḄMNOPCᑖᦑ2⌱⚗Qᔠ⚪RSC.JKᑮDḄMNO᦮CTNOPCᑖᦑ2⌱⚗Qᔠ⚪RSDBCḄDEFG᦮CḄIḄCᓽJKᑮDḄMNOPCᑖᦑ2⌱⚗Qᔠ⚪RSᦑ⌱B.UVG!⚗CᓄXFG᦮CḄIḄCYZM[\UYG!⚗CPCᑖ]&ᑖPCḄ*^_`ᑨbᓽ1.2⚪ὃ45PCᑖḄ*^⚪cdRPCᑖe᦮CTfgḄhijὅVGClḄm⊤oC.PCᑖ:GᡈFGPCIḄ⊤oC᦮CT!⚗CḄ⊤oC.6.ூᫀ௃C

7ூ᪆௃54-1=(52+1)(52-1)•••54-1{|20~30Ḅ:G᦮ᦪ᦮◀152+1=26,52-1=24.ᦑ⌱C.54-1ᑭᵨᑖPCḄ_`ᑖᔠ⚪54-1{|20~30Ḅ:G᦮ᦪ᦮◀ᓽ1+ᫀ.2⚪ὃ4PCᑖḄᵨᜧᢈឋm⌕dR⚪cᡠ
ᵨḄ.7.ூᫀ௃Bூ᪆௃ூᑖ᪆௃2⚪ὃ45m¡ᑁ┯¡¤m¥ᑁ¡.¦⚪)*§¨©¡ᐵ1ª«J¬¨ᐭ®.¯☢F±²ᭆ7ḄᳮV*⌕´ᡷᭆ7²Ḅᐵ¶·⌕\ᑮ¸¹)ᳮmḄF±·ºḄ⊤»⌕dRᳮ¸ᡠᒹ½ḄR^.ᵫᑁ┯¡Ḅ*^(:ᩩª¨|¿§ᩩª¨ᡠ¬ᡂḄ¡²Á:G¡Âᙠ:ª¨ḄÄᙠ¿§ᩩª¨(¬¨)Ḅ:¥ᑣY᪵V¡[\ᑁ┯¡)_`.ூ௃:ᩩª¨aஹb|ª¨cᡠ¬ᡂḄ¡²41e42Âᙠaஹbª¨ḄÄᙠª¨cḄ:¥ᡠÉ1eÉ2ᑁ┯¡.ᦑ⌱B.8.ூᫀ௃Bூ᪆௃ᵫ⚪R4B஻C஺AB//FG,BeCDḄÐÑBO28eÒGḄÐÑ,SA4BC=S&ABD=SA48F=SAABG>■.ÕÖ4BEḄ☢IØÖ4BCḄ☢Iᦑ⌱B.¿8⚓ᐳ17⚓

8ᵫ⚪R4B஻CZ),4B஻FG,ABeCDḄÐÑBO4BeFGḄÐÑÞ+S-BC=SAABD=S&ABF=SAABGᵫᓽ1ᑨb•2⚪ὃ4¹!Eeᙊஹ¯`¨Ḅឋ(ஹ§¡Ḅ☢IஹBáâãB⚪ḄᐵäEḄឋ(ᮣæᵨᡠçè⚪NO²ὃéẠ⚪.9.ூᫀ௃Dூ᪆௃,•,S3=36,sS=24,Se=25.5,S2=6,r•••s%?@NDEF,Fᵫᢚ0Ḅឋ->@NDEF=4D'EF,Jᔠ7>?@L4ED'.ூ"௃"M•••OPQ4BCDTUQAD//BC,•••4DEF=EFB=65°,Fᵫᢚ0Ḅឋ->@LD'EF=DEF=65°,AAAED'=180°-65°-65°=50°,ᦑ⌱MC.11.ூᫀ௃a12ூ"᪆௃"M(-a3)2-a6=a6a6=a12.ᦑᫀTMa12.ᑭᵨᗩḄc
Ḅdᑣ.efᦪhḄcdḄdᑣijkl+mnᓽ>.%⚪'⌕ὃ*pḄc
efᦪqḄcd"Ḅᐵ<:i8rḄmndᑣḄ12m

9ᵨ.12.ூᫀ௃1ூ"᪆௃"Mstuvெx+y=2ঝজ+ঝ@X=T=-1ᐭজ@y=3,2x+y=1,•••(2x+y)2022=1,ᦑᫀTM1.ᵨᐗduᐗt
Ḅ"?ᦪjḄᓽ>.%⚪ὃ*uᐗt
Ḅ"12ᐭdᐗd"uᐗt
:"⚪Ḅᐵ<.13.ூᫀ௃-8ூ"᪆௃"Ma2b—ab2—ab(a—b),ab=2>a—b=—4j=2x(-4)=-8.ᦑᫀT-8.✌ᐜ⚗jᑖ"jᯠnᓽ>?".%⚪'⌕ὃ*¡jᑖ"Ḅrᵨ¢£¤jᓽ>"¥¦⚪.14.ூᫀ௃a(a+2)(a-2)ூ"᪆௃ூᑖ᪆௃§⚪'⌕ὃ*¡¢£¤jd¤jdᑖ"j12
¤j:"⚪ᐵ<.✌ᐜ¢£¤ja,l¨ᑭᵨ
¤jᑖ"j@©ᓽ>.ூ"௃"Ma3-4a=a(a2-4)=a(a+2)(a—2).ᦑᫀTMa(a+2)(a—2).15.ூᫀ௃ᚖ,«ᨬ®10⚓ᐳ17⚓

10ூ"᪆௃"M±஺³´CD_L/1B¸D,ᯠ¹CDº»>¼ᡠº»⍝ᨬ¿ÀÁḄÂÃ:ᚖ,«ᨬ.ᦑᫀTMᚖ,«ᨬ.±4,᜜t³Å4,Ḅᚖ,¿t³ᚖÆÇḄ,«È:ᚖ,«Éᚖ,«ᨬ.çÅ.%⚪ὃ*¡ᚖ,Ḅឋ-ᙠË▭ÍÎÏḄmᵨиqẠ⚪.16.ூᫀ௃80ூ"᪆௃"M±³EÅEF஻4B,•:AB“CD,=45஺BEF==45°,vEF//AB,AB//CD,•••CD//EF,•••DEF=z2>v42=35°,DEF=35°,Z3=4BEF+DEF=80°,ᦑᫀTM80.%⚪ὃ*¡+,Ḅឋ-"§⚪Ḅᐵ<:±³EÅE/7/AB.17.ூᫀ௃17ூ"᪆௃"Mᵫ(X1+×2+%3)+3=3,%1+%2+x3=9>ᡠÚ(5x1+1+5%2+2+5%3+3)+3=[5(%1+&+%3)+6]+3=17.ᦑÞ17.%⚪ὃ*Ḅ:tᦪÃß±àᓄ@ᑮtãᦪÃᐸᙳᦪᨵtḄåæ>Ú4çᑭᵨᙳᦪḄn¤j.%⚪ὃ*Ḅ:ᙳᦪḄ?d.ᮣÎrᵨ¤j:"¥%⚪Ḅᐵ<.18.ூᫀ௃10°,10஺ᡈ130஺50°

11ூ"᪆௃"M•.•3ê7Ḅ3Pë+•••§37ì⊡ᡈ89ÁᐸÏtê7TX஺...ᐸÏtê7Ḅᦪ:îtê7Ḅ3ïð20஺uñ3789ᑣx=3x—20,"@Mx=10,•••ñ37ì⊡W=3(180-x)-20,"@Mx=130,3ê7Ḅᦪᑖò:10°,10஺ᡈ130஺50°.ᦑᫀTM10°,10஺ᡈ130஺,50°.ᵫ3ê7Ḅ3Pë+>@§37ì⊡ᡈ89ᯠÁᐸÏtê7T%஺ᑖòó3789ᡈì⊡ôᑖ᪆ᵫᐸÏtê7Ḅᦪ:îtê7Ḅ3ïð20஺ᑡ
?"ᓽ>?@ᫀ.§⚪ὃ*¡+,Ḅឋ-.§⚪ö÷ᜧ"⚪Ḅᐵ<:12ñ3ê7Ḅ3Pë+ᑣ§37ì⊡ᡈ89øù
úûḄrᵨ.19.ூᫀ௃"Mপs+?þ1°জU=2yঝঝᐭজ@M2y+3y=10,"@My=2,y=2ᐭঝ@Mx=4,ᑣ
Ḅ"T1MJ5+=8জ(6%—y=11ঝ’জx2-ঝ@M5y=5,"@My=1জ+ঝx2@M15%=30,"@M%=2,ᑣ
Ḅ"Tÿ;ூ᪆௃(1)ᑭᵨᐭᐗᓽ(2)ᑭᵨᐗᓽ.⚪ὃᐗᑭᵨᐗḄ"#ᐗḄᨵᐭᐗ%ᐗ.&12⚓ᐳ17⚓

1220.ூ,ᫀ௃(1)01=8<1(/2xy+y2)=-8a(x-y)2;(2):01=(x2+9y2)2_(6xy)2=(%2+9y2+6xy)(x2+9y2-6xy)=(x+3y)2(x-3y)2.ூ᪆௃(1)ᐜCDE1FᑭᵨGᐰID1ᑖᓽ;(2)ᐜᑭᵨIKD1ᑖFᑭᵨGᐰID1ᑖᓽ.L⚪ὃCDE1%D1ḄMᔠOᵨP⌕RS᝞UV⚗1Ḅᔜ⚗YᨵDE1,[\ᐜCDE1.21.ூ,ᫀ௃01=%4—3x3+2x2+mx3—3mx2+2mx+nx2—3nx+2n=x4—(3—m)x3+(2—3m+n)x2+(2m-3n)x+2nᵫ⚪Sb3—m=0,2m—3n=0,b=3,n=2.ூ᪆௃᪷dV⚗1%V⚗1efḄᑣhᔠijk⚗ᑣlmᓽ.L⚪ὃḄnV⚗1fV⚗1opV⚗1%V⚗1efḄᑣV⚗1%V⚗1efᐜᵨqV⚗1Ḅr⚗fs᜜qV⚗1Ḅr⚗FuᡠbḄwen⚪Ḅᐵy.22.ூ,ᫀ௃zIᑖ{ḄP|zIᑖ{ḄP|}~ᣚ}~ᣚjᑁz⊡{Iூ᪆௃BEIᑖ4BD()•••^ABD=24a(zIᑖ{ḄP|).■:DEIᑖNBDC():.BDC=2“(zIᑖ{ḄP|)•••AABD+BDC=2za+2=2(za+4᜛}~ᣚ)vNa+40=90஺()ABD+BDC=180஺(}~ᣚ).B஻CD(jᑁz⊡{I).ᦑ,ᫀzIᑖ{ḄP|zIᑖ{ḄP|}~ᣚ}~ᣚjᑁz⊡{I.✌ᐜ᪷dzIᑖ{ḄP|b4BD=24a,BDC=2,᪷d}~ᣚb4BD+Z.BDC=2"+2B=2("+")bᑮ4BD+BDC=180°,ᯠ£F᪷djᑁz⊡{Ib,ᫀ.

13⚪¤⌕ὃI{ḄᑨPᐵynopzIᑖ{P|hI{ḄᑨP.(2)ᵫ¦§&Ḅᙶ᪗(-3,-5),%Ḅᙶ᪗(6,-1),GḄᙶ᪗(-1,-3);(3)«ABCḄ☢w=4x5-1x3x4-|x2x2-|x2x5=7.ூ᪆௃(1)᪷d®¯ḄP|°±⚔³ᐵ´xḄ®¯³µ¶·b;(2)᪷dᡠ°¦¸bDஹ&ஹGḄᙶ᪗;(3)ᑭᵨᒘ⊡ᵨ»¸Ḅ☢w¼3qz±z¸Ḅ☢w.⚪¤⌕ὃ®¯½ᣚ¾¿b®À³ÁÂn⚪ᐵy.24.ூ,ᫀ௃(1)ÃrᒹÅÆḄᓫÈxᐗrᒹ⏀ÊËÌḄᓫÈyᐗ,Í⚪Sb:&Î/ÏÐ,rᒹÅÆḄᓫÈ5ᐗrᒹ⏀ÊËÌḄᓫÈ3ᐗ.(2)ÃÑÒÓÅÆÑᒹ⏀ÊËÌnᒹᵫ⚪Sb5m+3n=50.rc3:.m=10--n,•••mஹn¾᦮ᦪ••Ñᨵ3×ÒÓᫀজÒÓÅÆ9ᒹ⏀ÊËÌ5ᒹ;ঝÒÓÅÆ6ᒹ⏀ÊËÌ10ᒹ;ঞÒÓÅÆ1ᒹ⏀ÊËÌ15ᒹ.&14⚓ᐳ17⚓

14ூ᪆௃Û1ÃrᒹÅÆḄᓫÈXᐗrᒹ⏀ÊËÌḄᓫÈyᐗᵫ⚪SÒÓ2ᒹÅÆh3ᒹ⏀ÊËÌᐳ◤19ᐗÒÓ5ᒹÅÆh1ᒹ⏀ÊËÌᐳ◤28ᐗ.ᑡᐗᓽ;
2ÃÑÒÓÅÆÑᒹ⏀ÊËÌriᒹᵫ⚪SÑ50ᐗÞᐰßᵨ´ÒÓÅÆh⏀ÊËÌÛàá⌕ÒÓâᑡᐗ¾᦮ᦪᓽ.L⚪ὃᐗḄÀᵨãäᐗḄÀᵨ⚪ḄᐵynÛ1åæ}~ᐵ羿ᑡᐗ;Û2åæ}~ᐵ羿ᑡᐗ.25.ூ,ᫀ௃Û1èéêë⃩íîḄïðñᐳᨵ200x
l-10%-20%-30%=80ò;(2)ÑóñஹôðñhᜧóñḄòᦪ200x20%=40,200x30%=60,200x10%=20,40X5+80X10+60X15+20X20ᡠãIᙳròᣎø==11.5ù);200
3EïðñᨬVᡠãûᦪ10
ᐗâ.ூ᪆௃Û1èéêë⃩íîḄïðñᡠᓰýþn110%-20%-30%=40%,ÿ
ᦪ.
2ஹᜧḄᦪ200x20%=40,200x30%=60,200x10%=20,᪷ᙳᦪ
ᙳᦪ.
3ᨬᡠ
ᦪᣎᦪ.!⚪#$⚪ὃ&'ᡧ)*ஹ+ᩗᙳᦪᦪḄ-../'Ḅ0ᔠ2ᵨ456⚪7⌕9:.26.ூ=ᫀ௃6@পBCPDPE஻4B,-AB//CD,•••PE//AB//CD,Z-A+/.APE=180°,ZC+CPE=180°,vZ.PAB=130°,PCD=120°,•••/.APE=50°,/.CPE=60°,^APC=Z.APE+CPE=110°.

15(2)ZTlPC=Na+4Sᳮᵫ@᝞*2,BPDPE஻4BIACJE,-AB//CD,).AB//PE//CD.:.za=Z-APE,0=(CPE,•Z.APC=Z.APE+CPE=4a+Q᜛S(3)জ᝞*ᡠUVPᙠBDXYZ[7,:.La=Z.AFC,VZ71FC>A4FPḄ]^᜛_`,:.Z-AFC=/-CPA+4,•Z.CPA=Z-AFC*0=஺*0ঝ᝞*ᡠUVPᙠDBXYZ[7,:.0=Z-AFC,••44b஺d4AFTḄ]^᜛_`,•Z.AFC=Z.CPA+Za,f16⚓ᐳ17⚓

16•••/.CPA--/.AFC-z_a=zj5-NaS0[ᡠi@4஺24=4஺]/0ᡈὅ/£7\4=4?-/^.ூ6᪆௃(1)pBqZឋstQ4+N4PE=180°,C+Z.CPE=180°,uvᐭZ.PAB=130°,Z_PCD=120°Q4PCᓽS(2)BPDPE஻5BI4CJE,yAB//PE஻DC,᪷qZḄឋstNa=4APE,B=LCPE,ᓽt=ᫀS(3)ᑖ{|}~@Pᙠ8஺XYZ[SPᙠDBXYZ[ᑖ*)᪷qZḄឋst4a=NAPE,=LCPE,ᓽt=ᫀ.!⚪⌕ὃ&'qZḄឋsᑨḄ2ᵨ⌕ὃ&Ḅyᳮ45⚪d]⍝ᐺḄ⚪6⚪7ᑖḄᵨ.