北京市某中学2021-2022学年七年级下学期期中数学试题（含答案解析）

《北京市某中学2021-2022学年七年级下学期期中数学试题（含答案解析）》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。

ᓅ
2021-2022ᦪ⚪᪥:ὃஹᓫ⌱⚪1.25Ḅ᪷A.5B.V5C.-5D.±52.'ᑡᔜᦪ*Ḅ+ᳮᦪ1A.-B.0.3C._D.-3."./0,ᑣ013,2MᡠᙠḄ4▲)A.74▲B.784▲C.794▲D.7:4▲4.᝞a஻6,஺."N2=4N1,ᑣN1Ḅ$ᦪ&C.40°D.45°5.ᙠ'ᑡ;⚪*&<;⚪ḄA.=>Ḅ?@⚔?B.BHCᩩḄJᩩF=BC.CDᑁ?F⊡D.ᚖHCᩩḄJᩩF=B6.᝞⌕MN*ḄOPᑮORA*SᙠNT2ᜐAB1CDVW᢬YZ[\OYḄ]$ᨬ_`᪵bcdḄefgᳮCBD4AA.J0hijᨬ_B.0ᑮḄklC.J0mnᩩD.ᚖjᨬ_7.᝞জp:qrsᱏABCD,NA=50஺"=150஺"uᐸᢥ᯿ঝᡠz{ᢚ}~ាMD//AB,ND஻BC,ᑣNDḄ$ᦪ&

1AAC.85°D.80°8ஹ⌱⚪8.'ᑡᔜ{*mḄA.#_23=2B.V-0.064=-0.4C.&2=±2D.-752+3=9ஹ⚪9.-Ḅ=ᦪ,1-Ḅ¡@¢.10.M“@⚔?=>”ᦋᑏᡂ“᝞¨…ª«…”Ḅr{11.᝞AB,CD=¬H0O,EO±AB,ᚖ¯&O."/EOD=20஺ᑣ12.ab,±²bJ´µ¶Ḅ᦮ᦪᑣ஺+¸Ḅ¢&.13.᝞¹ºAB//C£,ZC=125°,ZA=45°,ᑣNEḄ$ᦪ&14.¹º¾ᦪx,yÁ¯|x—4|+J"=0,ᑣy-xḄ᪷15.᝞u☢Ç&5Ḅ9?rA8CÈ8cᔣËÌ9?rDEᔆḄÎÏËḄk

2lq8C]ḄJЪ«*Ḅ:qrACEDḄ☢Ç&16.ᙠ☢?ᙶ᪗ÓxOy*/ÔÕ0A-1,0
,0A&&&,4,……ᢥ᝞ᡠzḄÖ×᣸ᑡᙠ/Ù."/ÙÚÛ=ÜJ´0ḄÝᙶ᪗Þ=ß1ஹàᙶ᪗áÞ=ß1,ᑣ4Ḅᙶ᪗&;"0A,“&᦮ᦪḄÝᙶ᪗&2022,ᑣ"=.17.᝞ãäṹḄæᑖ.&èéäêëì'íîᵨCḄäṹðñòᵨᡠºóôᑮẚöḄ“÷ᓇùú¹ẚöû“üᜩὃþ”Ḅ<¾Ûÿ“ᢵ“”ᡠᜐḄx,y
,ᑮḄṹᓇ,ẚ“ᦪ”Ḅ!ஹ⚪

318.(1)#$:(2)#$&46-2(1+75)+|2-(|19.*+ᑡᔜ./xḄ0:পT=°(2)(1-x)3=-51220.᝞234AᙠNOḄ67OA8.ᢥ⌕*<2=>?:(1)@44?&᝞23BD1AC,EF±AC,DஹYᑖ[ᚖK3\Nl=/4,*V&ZCZX7+ZC=18O°VW&VBD1AC,EF1AC3N2=N_______—(ᳮᵫ&)ABD//(ᳮᵫ&)Z4=(ᳮᵫ&)

4•/Z1=Z43Z1=______.DG//(ᳮᵫ&)AZCZX7+ZC=18O°(ᳮᵫ&)23.op&᝞23ABHDC,ACqEFG4஺3E88643r஺஺86143\4=ZA.(1)*V&FE//OC(2)NB=40஺3Zl=60°,*NOFEḄ{ᦪ.24.᝞23ᙠR☢A}ᙶ᪗xOy/3}ABC⚔4Ḅᙶ᪗ᑖ[A(-5,1),B(-4,4),C(-1,-1).}A8CᔣR5ᓫ{3ᔣ+R4ᓫ{3ᑮ}A8C,ᐸ/44,B,,஺ᑖ[4A,B,CḄ4.(1)ᙠᡠᙶ᪗/<}A/C,=Aᑏ4஺Ḅᙶ᪗H(2)AB7864P@8RḄ4P(x,>'),ᵨx,yḄ.¡⊤£

54PḄᙶ᪗&(Aᑏ¤Mᓽ¦)(3)*}40஺Ḅ☢§.25.¨aஹ/?ᦪ3ᵫ=ai+h+[^-\¦p3«¬®(¯ᜐ°±V2a)\2a)a-<0.1)²3»(),G^a2+h.y/aFxa+!(*).ᑭᵨ¶a{2aJV2a.(*)¦·*¸¹ᦪḄ$ºRS᪷Ḅ»¼0.᝞J10005=71002+5*100+——=100.0252x100½#$¾¿Ḅ»¼0.(¤MÀᶇ®ᦪ4)26.R☢A}ᙶ᪗/3op஺(0,-3),/(4,-3),Â6A}}ÃA8CḄ7CÄÅᑖ[FG஺ஹGÆ43CAB஺”ᑖ[FGEஹFÆ4.(1)ÂA}}Çᢥ2জ᤮Ê3*V&ZCEF-ZAOG=90°(2)ÂA}}Çᢥ2ঝ᤮Ê3NAC8643ZNEF+ZCEF=180°,½ÌÍNNEFqZAOGḄᦪÎᐵ.27.SÐÑ8ᨵ223ÓÔḼÐBÂÖ62×ᑖᡂÙᐰEÛḄÆÜᑖᔩÞ<ᑖᒘB.28.ᙠR☢A}ᙶ᪗/3ᡃá±â3Æ4ãäḄ“A}PQ”åÆ4Ḅæᙶ᪗

6çḄè0é8êᙶ᪗çḄè0.ᓽᙠR☢A}ᙶ᪗X஺)3/3ëÆ44(ì3í)C8(®3í)ãäḄ“A}PQ⊤£2s=|/-+|%-·|•GR☢ᑁḄ6ñ4P.஺"=஺ᑗ3ᑣôñ4PḄõöAஹBÆ4Ḅ“÷PB”.ø᝞&op4MQ-2),4M3-=13-1|+1-5-(-2)|=5.op44(1.0)34B(-1,4),C(1,3),£>(-1,1)(1)#$·+ᔜ4ãäḄA}PQ&DAC=3DHC=.DAD=3Dnn=3(2)ᡃá±â3ᑮ4AḄA}PQḄ4ùᡂḄ2“A-n÷P2᝞82/ḄSG"஻A-1÷P2.ᙠ82ᙶ᪗/

7

8ὃᫀ1.Aூ௃"#$ᦪḄ$Ḅ&'᪷)*#ᦪḄ+,&'᪷.-)±5f=25,ᑣ25Ḅ+,&'᪷)5.ᦑ⌱A.2.Cூᑖ᪆௃᪷23ᳮᦪḄ56ᓽ89ᑮᫀ.ூ௃A.5:ᨵᳮᦪᦑ<⌱⚗>?ᔠ⚪BCB.0.3:ᨵᳮᦪᦑ<⌱⚗>?ᔠ⚪BCC.-E:3ᳮᦪᦑ<⌱⚗?ᔠ⚪BCD.ᔿ=2:ᨵᳮᦪᦑ<⌱⚗>?ᔠ⚪B.ᦑ⌱C.ூG௃<⚪ὃHI3ᳮᦪḄ56⚪ḄᐵK:LM56NO⚪.3.Dூᑖ᪆௃᪷2ᔜQ▲ᑁḄᙶ᪗ᱯU.V#Q▲Ḅ?Wᱯᑖ:X"Q▲Y+,+\CX]Q▲+\CX^Q▲Y-,-\CXVQ▲Y+,-\.ூ௃:!!!*஺.".2m<0,...P3,2m
ᙠXVQ▲.ᦑ⌱D.ூG௃<⚪ὃHIᔜQ▲ᑁḄᙶ᪗Ḅ?WᱯUMcᔜQ▲ᑁḄᙶ᪗Ḅ?W:⚪ḄᐵK.4.Bூᑖ᪆௃᪷2de&Ofgᑁhi⊡89/1+/2=180஺ᯠlᙠ᪷2N2=44ᑡ'noᓽ8.ூ௃Ca஻b,.".Zl+Z2=180°,VZ2=4Z1,.♦.N1+4/1=180஺,9N1=36஺.ᦑ⌱B.ூG௃<⚪ὃHI&OḄឋrLMឋrstu:⚪ḄᐵK.5.Bூᑖ᪆௃᪷2v⚔hஹ&OyᳮḄz{ஹ&OḄᑨ5ஹfgᑁh⌲⚗ᑨ~ᓽ89.ᫀX1⚓ᐳ14⚓

9ூ௃AஹḄh>"5:v⚔h⚗:Ꮇ⚪CBஹ&Of"ᩩeḄdᩩei&O⚗:⚪CCஹde&Ofgᑁhi⊡⚗:Ꮇ⚪CDஹᙠf"&☢ᑁᚖef"ᩩeḄdᩩei&O⚗:Ꮇ⚪Cᦑ⌱B.ூG௃<⚪ὃHI⚪5ᳮஹ&OḄᑨ5ឋruL&OḄᑨ5ឋr:⚪ᐵK.6.Dூᑖ᪆௃᪷2ᚖḄឋrᚖᨬNO.ூ௃⌕ḄᑮAᙠBᜐA3,C0᢬¡Ḅ¢£ᨬ*᪵¥¦2Ḅ§¨©ªᳮ:ᚖᨬᦑ⌱D.ூG௃<⚪ὃHᚖḄឋrᚖᨬLᚖḄ56:⚪ḄᐵK.7.Dூᑖ᪆௃ᐜ᪷2¬ᢚ®ᣚḄឋr9N1=/DMN,/2=NDNM,°ᵫ&OḄឋro/1+/DMN²/2+/D³MḄ£ᦪN´89µ{.ூ௃᝞2ঝ•.•¸MNDᵫAMND¬ᢚ´ᡂN1=ND'MN,N2=ND'NM,MD஻AB,ND஻BC,ZA=50°,ZC=150°.".Z1+ND'MN=ZA=50°,Z2+ZD'NM=NC=150°,/A50°NCISO0/.Z]=ND'MN=—=—=25°,Z2=ZD"NM=——=——=75°,2222ZD=1800-Zl-Z2=l80o-25°-75o=80°.ᦑ⌱D.ூG௃<⚪ὃHḄ:¬ᢚ®ᣚḄឋr²&OḄឋrº⚪»¼½½◚¿I^hḄᑁh:180஺*"u.8.ACDூᑖ᪆௃᪷2&'᪷À'᪷ḄᨵᐵÁ+v⌱⚗⌲#ᑨ~ᓽ8.ᫀX2⚓ᐳ14⚓

10ூ௃Aஹ´Â=Ä=_2,⌱⚗┯Ç?ᔠ⚪B;Bஹ2-0.064=-0.4,⌱⚗$t>?ᔠ⚪BCCஹÉÊ=2,⌱⚗┯Ç?ᔠ⚪BCD.(-^)2+(W=4,⌱⚗┯Ç?ᔠ⚪BCᦑ⌱ACDூG௃⚪ὃHI+,&'᪷À'᪷ḄᨵᐵÁ+LᐵÁ+:⚪ḄᐵK.9.0y-1ூᑖ᪆௃᪷2eËᑭᵨÎᦪḄ56ϲÐᦪḄÑvÒÓḄÎᦪ.ூ௃ḄÎᦪ)⌲Cvl——<0,2ᦑᫀ)0;——1.ூG௃⚪Ô⌕ὃHIÎᦪḄ56ÑvÒḄÕᦪឋr$tᐵ56:⚪ᐵK.10.᝞Öd#h:v⚔h×ØÓÙூᑖ᪆௃ᐜÚᑮ⚪Ḅ⚪Ûµ{°ᑏᡂ“᝞Ö…×Ø…'’Ḅá.ூ௃•••ª⚪Ḅᩩã:“d#h:v⚔h“µ{:“ÓÙ”⚪“v⚔h”ᑏᡂ“᝞Ö…×Ø…''Ḅá)“᝞Öd#h:v⚔h×ØÓÙ”.ᦑᫀ)᝞Öd#h:v⚔h×ØÓÙ.ூG௃<⚪ὃHI⚪Ḅᩩãµ{ḄåæçBt5"#⚪Ḅᩩãµ{Ḅ'è:✌ᐜ*#⚪ᑏᡂ“᝞Ö…×Ø…”Ḅá.II.110°.ூ௃⚪ᑖ᪆êOE1.AB,᪷2ᚖeḄ5689NBOE=90஺ᵫ-ZEOD=20°,ᡠÏNBOD=/BOE-NEOD=90O-2()o=70஺°᪷2ì⊡hḄ5689ZCOB=1800-ZBOD=180°-70°=110°.ὃᚖeḄ56Cì⊡hḄ56.ᫀX3⚓ᐳ14⚓

1112.11ூᑖ᪆௃ᐜᑨ~ᵨḄíÒït5a6ḄÒᓽ8o.ூ௃C5,-.v=4,4Ḅ&'᪷:±2,ᦑᫀ)±2.ூG௃⚪Ô⌕ὃHI+,&'᪷ϲÑvÒḄឋr$tᐵ56:⚪ḄᐵK.ᫀX4⚓ᐳ14⚓

1215.20ூᑖ᪆௃ÛAᑮBCḄý)þ᪷2&ÿḄឋᵨBC⊤A஺ஹCF,ᯠ᪷Ḅ☢Ḅ☢ᑡᓽ!"#.ூ&#௃#()*Aᑮ8cḄ./012♦.•4Ḅ./5BCḄ6Ḅ278.AD=CF=2BC,AC=DF,AB=DE,8ACFDḄ☢=C=2BG/?=4x5=20,ᦑDᫀ0(20.ூ*F௃⚪HI⌕ὃLMḄ48NOPQ4Ḅឋ"RS☢TUḄᐵW5#⚪ᐵX.16.[-5,4]4045ூᑖ᪆௃`⚪I⌕ὃLabcdᦪMfg*Ḅᙶ᪗ᱯk8#⚪ḄᐵX5lᙶ᪗Ḅmn.opজ஻0᜻ᦪt8uᙶ᪗vᙶ᪗wᓄ"mn(ঝ஻0Ꮤᦪt8uᙶ᪗vᙶ᪗wᓄ"mn8{|#.M+1ூ&#௃opজ”0᜻ᦪt8uᙶ᪗wᓄ(-1+1,-1+2,-1+3,…-1+——,2W4-1vᙶ᪗wᓄ0(0-1,0-2,0-3,...»---2»7ঝ஻0Ꮤᦪt8uᙶ᪗wᓄ(-1-1,-1-2,-1-3,Hvᙶ᪗wᓄ0(1,2,3,…8411b!?ᓽA[b*4]•.•*[஻0᦮ᦪ]Ḅuᙶ᪗02022,/74-1/.-1+---=2022#"“=4045,2ᦑDᫀ0([-5,4]4045.ூ*F௃`⚪I⌕ὃLbcdᦪMfg*Ḅᙶ᪗ᱯk8PQbcdᦪMfg*Ḅᙶ᪗ᱯk5#⚪ḄᐵX.17.ᦻuᙶ᪗1,vᙶ᪗2ᡂூ&#௃ᑖ᪆(•••ẚ“ὃ”Ḅ5“¡¢ᢵ“”ᡠᜐḄ¦§0[x,y],ᑣᦻ“''Ḅ¦§5([x+1,y+2].8lᑮḄ«ṹᓇ5(ᦻuᙶ᪗1,vᙶ᪗2.Dᫀ¯5⚓8ᐳ14⚓

138“'’Ḅ¦§0[4,2]ᦻ¦§5[5,4]ᓽ0“”“³”Ḅ¦§0[5,6]ᦻ¦§5[6,8]ᓽ0“”“ᦪ''Ḅ¦§0[7,2]ᦻ¦§5[8,4]ᓽ0“ᡂ”“´''Ḅ¦§0[2,4]ᦻ¦§5[3,6]ᓽ0“”.•••“³ᦪ´”Ḅ5(ᡂ.18.[1]y[2]273-72ூᑖ᪆௃[1]ᐜ|¶·᪷¸¹º·᪷8{|»ᓽ!;[2]ᐜ½¾¿8ᓄÀ|ÁÂ8{c᪷ḄÃÄᓽ!.ூ&#௃#([1]#:=9+(-3)+-|_20(2)46-2(1+6)+|2-Ê=473-2-25/3+2-5/2=2>/3-x/2ூ*F௃`⚪I⌕ὃLc᪷ḄÌᔠÎ8PQc᪷Ḅឋ»ÎÄᑣ5#⚪ḄᐵX.19.[1]%,=y,%=-y2
2x=9ூᑖ᪆௃[1]᪷·᪷Ḅឋ#·Ñᓽ![2]᪷º·᪷Ḅឋ#·Ñᓽ!.[1]#(=0492121x'=——49#"(0=?■8&=b3ফ(1-X)3=-512Dᫀ¯6⚓8ᐳ14⚓

14l-x=-8,#"(x=9.ூ*F௃Õ⚪ὃLḄ5Ö·»º·Ḅ·Ñ8PQ·᪷Ḅឋ»º·᪷Ḅឋ5#×Õ⚪ḄᐵX.20.পÙ#᪆(2)Ù#᪆(3)Ù#᪆;ভÛூᑖ᪆௃(1)᪷ᚖÝḄÞÄᓽ!"(2)᪷ᚖÝḄÞÄᓽ!"((3)᪷ÝḄÞÄᓽ!"(4)᪷ÝḄឋ!"NCDB=NO/W=90஺8ᯠᑭᵨḄ☢ᓽ!".(1)᝞M8ᚖÝACᓽ0ᡠ|;(3)᝞M8áÝ8ᓽ0ᡠ|;(4)\-ABVOA,ZOAB=90°,---CD//OA,NCDB=NOAB=90°,Dᫀ¯7⚓8ᐳ14⚓

15#.#OA=8,A3=6,03=10,.-.S=-OB-AC=-OA-AB,ᓽ'xlOAC='x6x8,^Aoti22J2224#"AC=],24ᓽ*AᑮáÝ08Ḅ./0824ᦑDᫀ0(y.ூ*F௃`⚪ὃLaÞᚖÝ»ÝஹÝḄឋஹ*ᑮáÝḄ./âãä*8NOPQÝḄÞÄ»ឋ5#⚪ᐵX.21.±73ூᑖ᪆௃ᐜ᪷åæᦪḄឋ|x,yḄÂ8çᐭçᦪᓽ!"éê.ூ&#௃#()3x+y-1*2=o,k-1=013x+y-l=0X=1#,.ë=j5xl+4=3.8ᢈ+VḄ·᪷0±6.ூ*F௃`⚪ὃLḄ5åæᦪḄឋ8NãåæᦪT»âî0t8ᔜ⚗ñâî05#DÕ⚪ḄᐵX.22.3/900ᚖáòó(EFZ5/RáÝ8ô¦õâN5/BCᑁ┯õâ8RáÝRáÝ8ô¦õâ.ூᑖ᪆௃ᐜᵫᚖáḄòó"ᑮ(Z2=Z3,ᯠᵫô¦õâ8RáÝ"ᑮ(EF//BD,{ᵫRáÝ8ô¦õâ"ᑮ(Z4=Z5,ᯠ᪷âùçᣚ"ᑮ(Z1=Z5,{᪷ᑁ┯õâ8RáÝ"ᑮ(DG//BC,ᨬᵫRáÝ8ô¦õâᓽ!üNADG=NC.ூ&#௃üý(,••BDLAC,EF_LAC[ã]8AZ2=Z3=90°[ᚖáḄòó]8[ô¦õâ8RáÝ]8AZ4-Z5[RáÝ8ô¦õâ]8VZ1=Z4)þã]8Dᫀ¯8⚓8ᐳ14⚓

16••.Z1=Z5(âùçᣚ),.•.OG஻8C(ᑁ┯õâ8RáÝ)8.ZADG=ZC(RáÝ8ô¦õâ)8ᦑDᫀ0(3/90°,ᚖáòó8EF,Z5,RáÝ8ô¦õâZ5/BCᑁ┯õâ8RáÝRáÝ8ô¦õâ.ூ*F௃Õ⚪ὃLaÝḄឋᑨ
⚪ᐵḄឋᑨḄᔠᵨ.23.(1)᪆(2)ZOFE=100°ூᑖ᪆௃(1)᪷A5//DCNA=NC,ᦑZ1=ZC,᪷Ḅᑨᓽ"(2)᪷ḄឋND=N3=40஺
᪷$%&᜜%ḄឋᓽᑮNOFEḄ)ᦪ.ூ+௃প".//AB//DC,.ZA=ZC,*/Z1=ZA,Z.Z1=ZC,...FEHOC-,(2)/'ABHDC,ZB=40஺
r.ZD=ZB=40°,ZOFE=ZD+Z1=40°+60°=100°.ூ01௃2⚪ὃ4Ḅᑨ5ឋஹ$%&᜜%Ḅឋ
78Ḅᑨ5ឋ$%&᜜%Ḅឋ⚪Ḅᐵ.24.(1)᪆
0CḄᙶ᪗;(4,-5)/(2)0PḄᙶ᪗;(x-5,y+4);(3)$%&A5CḄ☢=;7.ூᑖ᪆௃(1)᪷>?@᪀BC04ஹC'ḄDE
ᯠGHIJKᓽ
L᪷☢M%ᙶ᪗NᑏC0஺Ḅᙶ᪗(2)᪷ᔣQRSᙶ᪗T
ᔣURVᙶ᪗WᓽXYᑮZᫀ(3)ᑭᵨAA'3'C'ᡠᙠḄ_&Ḅ☢=W`aᕜ$cM%$%&Ḅ☢=
ᑡeXYᓽ.ூ+௃/(1)᪷RḄឋ
ᙠ>fgᑖhBC$c0Ḅij0
ᯠGHIJKkᩭᓽ᝞nᡠo஺Ḅᙶ᪗;(4,-5)/Zᫀp9⚓
ᐳ14⚓

17(2)᪷RḄឋ/ᔣQRSᙶ᪗T
ᔣURVᙶ᪗WᑣwḄᙶ᪗;(x-5,y+4)(3)᝞nᡠo⍝AA'8'C'ᡠᙠḄ_&Ḅ☢=W`aᕜ$cM%$%&Ḅ☢=**•=4x5-~x3x5-~x1x3—-x2x4=7.ூ01௃2⚪ὃ4ᑭᵨRᣚn
$%&Ḅ☢=
78>?@᪀BCij0ḄDE⚪Ḅᐵ.25.120.025ூᑖ᪆௃᪷⚪Ḅ
14406ᑖᡂcᦪc᦮ᦪḄ14400+6,ᓽa2=i44oo,h=6,¢ᐭ¤eXYᓽ.ூ+௃/V14406=71202+66*120+2x120=120.025ூ01௃2⚪ὃ4Y¥᪷᪷¤e¦§ᳮᦪᜧªY
⚪ᐵ«ᳮᩩᡠḄe®¯ᳮ°¢ᐭXY.26.(1)᪆(2)ZAOG+ZNEF=90°,ᳮᵫ᪆ூᑖ᪆௃(1)CP஻xµ
ᑭᵨ஺ஹM0Ḅᙶ᪗ᑮ஺M஻xµ
ᑣCP஻£>M஻xµ
᪷Zᫀp10⚓
ᐳ14⚓

18Ḅឋᨵ/AOG=N1,Z2+ZC£F=180°,ᯠGᑭᵨ/1+/2=90஺ᑮZAOG+Z180°-ZC£F=90°,L᦮ᳮZCEF=90°+ZAOG6(2)CP஻§µ
ᑣCP஻OM஻xµ
᪷ḄឋN4OG=N1,Z2+ZCEF=180°,ᵫºNNEQ+NCEF=180°,ᡠ8N2=NNED,ᯠGᑭᵨNl+N2=90°ᓽᑮZAOG+ZNEF=90°.(1)./CP஻xµ
᝞n1,VD(0,-3),M(4,-3),µ
/.CP//DM//x^A,
NAOG=/1,N2+NCEF=180°,.•,Z2=180°-ZCEF,VZ1+Z2=9O°,ZAOG+Z1800-ZC£F=90°,/.ZCEF-ZAOG^90°^(2)ZAOG+ZNEF=90°.ᳮᵫ᝞U:CP஻xµ
᝞n2,\'CP//DM//x^,Zᫀp11⚓
ᐳ14⚓

19AZAOG=Z\,Z2+ZC£F=180°,À/NED+/CEF=180°,/.42=4NED,VZ1+Z2=9O°,ZAOG+ZNEF=90°.ூ01௃2⚪ὃ4Ḅᑨ5ឋ/ºÈᩩMḄÉMÉM
ÈD%ÊËÉM
ÈÌᑁ%Î⊡ËÐ0
Ð0Ñ)Òᜧ
ÓᔠឋÔÕÖ⚪Ḅᐵᙠº×ØḄÙ2ÚÛᶧÑÝ⚪ḄÞß.27.᪆ூᑖ᪆௃áâpcn
ngᐳᨵ20c?
⌕ᑖᡂäᐰÊÈÉæᑖ
ᑣçcᨵ10c?
ᑣᢥ᝞nᡠo
éATBTCT஺ᑖᒘpëcnÈᳮéETFTGTHTPTQᑖᒘᓽ.ூ+௃/᝞nᡠo
pcn
ngᐳᨵ20c?
⌕ᑖᡂäᐰÊÈÉæᑖ
ᑣçcᨵ10c?
ᑣᢥ᝞nᡠo
éATBTCT஺ᑖᒘpëcnÈᳮéETFTGTHTPTQᑖᒘᓽ.ூ01௃2⚪ὃ4n&ᐰË
78ᐰËn&Ḅì⚪Ḅᐵ.28.(1)3/333(2)᪆/(3)᪆ூᑖ᪆௃(1)᪷íÉ0îïḄ“M%ñò”ḄìXYᓽ(2)᪷ᑮ04ḄM%ñò;nḄ0ôᡂḄn&;A-nËñn&Ḅìõnᓽ(3)᪷ᑮ04ḄM%ñò;஻Ḅ0ôᡂḄn&;4஻Ëñn&Ḅìõnᓽö÷Zᫀp12⚓
ᐳ14⚓

20(2)g0A08ḄËñ;ngḄøOFஹù஺úøCEôᡂḄᢚ
ᓽÛÝ⚪.(1)/ᵫ⚪
2c=|lT|+|3-q=3D=|l-(-l)|+|4-3|=3sc;%="(-1)|+|1-஺|=3;O„=|-l-(-l)|+|4-l|=3oᦑᫀ3333ফ(3)45!A-6!E-5!£6!&A'&EḄ)᝞ᡠᫀ,13⚓!ᐳ14⚓

21ூ&0௃⚪345678ᣚ:ᔠ⚪!ὃ=>?@A&BCḄDEFḄGH,ᑮ&AḄDEF஻Ḅ&LᡂḄNO!P⚪ᐵRSᳮP⚪@!ᮣVWᵨᡠYNOPZ[⚪.ᫀ,14⚓!ᐳ14⚓