2021-2022学年河南省安阳市安阳县八年级（下）期末数学试卷（附答案详解）

《2021-2022学年河南省安阳市安阳县八年级（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⚪ᐳ30.0ᑖ1.ᑡ᪷!"ᨬ$%&᪷Ḅ"A.Vo3B.716C.V10D.V32.(᝕*ᖪ,ᙠᜧ.├01234567&8Ẇ:;ᖪ,ᨬ<=*ṹḄA.?ᦪB.ABC.CᙳᦪD.!Eᦪ3.&Fᦪy=ntx+nḄGH᝞GᡠKᑣy=-2mx+nḄGHA4.MNOPQḄR᪆Ty=—3%-4,UOPVWOPkC6XYZ1,2
,ᑣOP஺ḄR᪆TA.y=—3x+4B.y=-3x+1C.y=3x+1D.y=3x+45.X2…WoḄCᙳᦪTm,\21*22…ᑐ66ḄCᙳᦪTnᑣ^X2>_66ḄCᙳᦪTA,am+n-10m+33nb10m+23n

16.᝞GᙠC☢Ofᙶ᪗i!MNZ஺(0,0),>4(2,4)ppZ஺Tᙊs஺4tTuvwxyx{Ḅ|u{}BZᑣZBḄᙶ᪗"()/'ஹஹஹA.(275,0)-1ߟIB.(2V3.0)C.(0,2V5)D.(0,2V3)7.᝞GᙠRtAABC!N4CB=90஺஺"ABḄ!ZUBC=RV5AC=2>/5,ᑣCDḄtT()CAA.V5B.|C.5D.V158.᝞G᪛(᪛Wᙢ☢ᚖO)3.6ᙠ&!᪛ᢚ᎔Ḅ᪛⚔CW᪛᪷4ḄT2.4ᑣ᪛¡ᜐZ8ᙢ☢Ḅ£Ḅ¤T()A.2.4B.2.6C.0.6D.19.᝞G|A¥4BCDḄ¦tT4an,1ZPªB«¬ᙠ|A¥Ḅ¦®B-C-DḄAᔣ±1ᑮ஺³´µZPḄ±1¶·Tx(cm),ᙠᑡGH!º⊤K¼A8PḄ☢½y(cm2)ᐵ}x(cm)ḄFᦪᐵiḄGH"()10.᝞GᙠÁ¦¥ABCO!AC=a,BD=b,X4CJ.BD,ᚖÄT஺Å&ÆÇÁ¦¥ABC஺ᔜ¦!ZÉᑮÁ¦¥T8³1஺1ÊÅ&ÆÇÁ¦¥&B1C1D1ᔜ¦!Z,Ì2⚓ᐳ20⚓

2ÉᑮÁ¦¥482C2D2…᝞Ï56ÐÉᑮÁ¦¥AnBnCnD”.ᑡÒÓ|ÔḄᨵ()জজ஺1"¼4BDḄ!EP×ঝ&஺2"4AB஺Ḅ!EP×ঞÁ¦¥4c4஺4"Ú¥×টÁ¦¥48nḄ᜜Ḅ☢½"Ý.1A.জঝB.জঞC.জঞটD.জঝঞট%ஹÞß⚪(ᜧ⚪ᐳ5⚪ᐳ15.0ᑖ)11.d(x_2)2=2_x,àáḄâ¤ä".12.(᪥æ%(1)ç⌕⌱éEêëì᪥íîïðñò(1)çᨵóᾠõ,ö4Eêëì⌱éò⌱éò÷ᑖ50ᑖøù5úñòḄCᙳᡂüýAB᝞⊤ᡠK:óᾠõöCᙳᡂü46474745AB0.60.60.70.7᝞ÿ⌕⌱ᡂḄ.13.ᦪy=(2-+6Ḅ#$%&'P(xiy஺,')?(%2%)01i<%23yi>y>ᑣMḄ679:.214.<=2BCDḄAᩩCDEFᑖHI12,16,ᑣ<=ḄKFI.15.᝞#ᙠODᙶ᪗RS'BḄᙶ᪗I(15,8),OEy=x+niាWXY=஺ABCḄ☢\ᑖIL2ḄA^ᑖᑣmḄ7I•

3aஹcd⚪(fᜧ⚪ᐳ9i⚪ᐳ83.0ᑖ)16.jklV18-V5xV10+(2022-7T)0.17.ᦪy=(a—l)x+2a+l(aImᦪ)Ḅ#$᝞#ᡠopaḄ679.18.᝞#ᙠqrsK=2BCDSACஹBDtu'஺.v'4IᙊxyzFI{|}~,tEOBuPஹQA'.ᑖHvPஹQIᙊxᜧuI{|}~Aᩩ~tu'M,4M.ᙠE4Mᓃ6'G,BG=BA,BG.BG=C஺plDE=3BE.19.a=>/n+1—,b=Vn+14-Vn(n>0).(1)pl஺bI᎔ᦪ.(2)0n=83p£Ḅ7.20.᪥ᦪ1,2ᦪᑖI5ᑖAᑖᦪᑖHI2ᑖஹ3ᑖஹ4ᑖஹ5ᑖ.᪷jḄᦪ¡ᑴv£j#⊤.2ᡂj⊤ᑖᦪ2ᑖ3ᑖ4ᑖ5ᑖᦪ8a35(l)aḄ7I.(2)⊡ᐰ#2Ḅᩩ=j#.(3)§ᑖHjk1,2Ḅqᙳᑖ,S©ᦪª«ᑖ᪆Ḅᡂ®W?¯4⚓ᐳ20⚓

41ᡂᡧ=j##121.᝞#ᙠsK=ABCDSAB=AD,Z_B=ND=60஺AB//CD.(1)plsK=ABCDI<=.(2)'EஹFᑖHᙠEBCஹCD²4EஹAF,4EAF=60°,plAE=AF.22.³◤⌕ᙠᩩµ¶ḄAK·¸¹FºḄr⍝¼ᨵᵬஹ¿AÀÁÂᔜ·¸Kr⍝.᝞#ᡠoḄ:AÀÁ·¸r⍝Fºy(Ä)·¸3Åx(ᜩ)ÇÅᐵRḄ^ᑖ#$.§cd£ᑡÊ⚪l(1)§pËᵬஹ¿AÀÁÂyxÇÅḄᦪᐵRÌ.(2)¿ÀÁÂᙠ·¸5ᜩÍ·¸ÎºឮÐᑮÒ2ᜩḄÀ}ᦔ᳛ᨬÍA¹3Öᡂy×.Ê¿ÀÁ·¸Ḅr⍝ØFºIÙÚÄÛ23.᝞#OEÜ=ÝÀ+/?ÀßஹyßᑖHtuBஹCA'OC=2OB=2,4(a,n):OEy=kx+b²Ḅà'('4Cáâᔠ).(1)pOEBCḄc᪆Ì.(2)äᑏËæAOCḄ☢\SaḄᦪᐵRÌ.(3)জ0'4ᙠ¯$▲A40CḄ☢\:23p4'Ḅᙶ᪗.

5ঝᙠজḄᩩê£yß²:ᔲìᙠ'M,AMOA:ῪaD=Ûìᙠ§OᑏËîᩩêḄᡠᨵM'Ḅᙶ᪗ªáìᙠ§ïðᳮᵫ.24.Ê⚪ó᛻:᝞#1,ö÷=ABCDö÷=EBE'Fᐳ⚔'B,'CᙠE'FùFE²4EஹDE.úûð:(1)plAஹEஹüa'ᐳE.(2)᝞#2,D2=DE,§úûECFE'FḄᦪýᐵR«þvð.cÿ⚪:(3)᝞1,48=10,26⚓ᐳ20⚓

6ᫀ᪆1.ூᫀ௃cூ᪆௃4VU?ḄᦪḄᦪ᦮ᦪᨬ᪷"ᦑ$⌱⚗'ᔠ⚪)*RV1+Ḅᦪ,ᨵ./0Ḅ1ᦪᨬ᪷"ᦑ$⌱⚗'ᔠ⚪)*C.mᨬ᪷"ᦑ$⌱⚗'ᔠ⚪)*D23᪷"ᦑ$⌱⚗'ᔠ⚪).ᦑ⌱C.᪷4ᨬ᪷"Ḅ56⌲8ᑨ:ᓽ<.$⚪ὃ>?ᨬ᪷"Ḅ56.@Aᨬ᪷"Ḅ56B⚪ḄᐵDEFGHI8ᩩKḄ᪷"Lᨬ᪷"জᦪḄ1ᦪ᦮ᦪ1"᦮"ঝᦪ,ᨵ./0Ḅ1ᦪᡈ1".2.ூᫀ௃Aூ᪆௃•••QᦪRSᦪ4ḄᨬTḄUVW᪵?qrḄᨵᐵsto⌕QᦪḄ)6.u᧜ᦪ4TwxḄqr\ᨵgᙳᦪஹjᦪஹQᦪᔜᨵz▲ឋ1B⌕}qr\Z~ᔠᳮḄ⌱ាḄᵨ.3.ூᫀ௃Cூ᪆௃Uᦪ=^1*+^1ḄUஹ3▲ᑣm>0.ayᑣn>0.ᡠG—2nl<0.ᡠGUᦪy=mx+nḄஹ▲y.⌱⚗ᨵ⌱⚗C'ᔠ⚪).ᦑ⌱C.ᐜ᪷4Uᦪ=^1+71Ḅ/mஹnḄ¡᪷4UᦪḄ¢ᦪḄᐵ¢£sy=-2mx+nḄᡠḄ▲B⚪/.

7$⚪ὃ>?ᦪḄឋ¤ஹUᦪḄឋ¤¥stV.᪷4/mmஹnḄB⚪ḄᐵD.4.ூᫀ௃Bூ᪆௃¦%Ḅ᪆"¨y=kx+b,•.kḄ᪆"¨y=-3x-4,஺kg~•••k=—3>ª(L—2)«ᐭy——3%+b:-3+b=-2,/b=1,ᦑLḄ᪆"¨y=-3x+l.ᦑ⌱B.¦m஺Ḅ᪆"«ᐭV(0,6),m®Ḅ᪆"ᓽ<.$⚪ὃ>?Ig~Ḅ⚪@Ag~Ḅ᪆"Ḅk¯°¥⚪ḄᐵD.5.ூᫀ௃Dூ᪆௃TX1x>...20Ḅgᙳᦪ¨m,x,x>■■■>%66Ḅgᙳᦪ¨±22122%1.X<…%20Ḅ¨206%21,x22<…06Ḅ¨46n,,2•XlX,6Ḅgᙳᦪ¨m³=U´.2ᦑ⌱D.ᑭᵨgᙳᦪḄ56¶.$⚪ὃ>gᙳᦪḄ56gᙳᦪḄ·¥¸Ạstὃ>º.±¸Ạ⚪.6.ூᫀ௃Aூ᪆௃V4»4Clx᝞ᙠRt½40COA=>JOC2+AC2=2¾•••GV஺¨ᙊn஺4À¨ÁÂÃxḄBV,8⚓ᐳ20⚓

8OB=02=2V5,••VBḄᙶ᪗¨(2A/5,0).ᦑ⌱A.V4»4c1xÇÈÉÊ5ᳮᙶ᪗Ëឋ¤ḄᐵDᵫÉÊ5ᳮ/஺4ḄÀx.7.ூᫀ௃Bூ᪆௃44CB=90஺BC=AC=2A/5•••AB=yjBC2+AC2=V5+20=5•••஺4BḄV•••CD=-AB=22ᦑ⌱B.ᵫÉÊ5ᳮÉÊ5ᳮÍ3ÍËÎÏÐḄḄᐵD@AÍ3ÍËÎÏÐḄ¥ÎÏḄU.8.ூᫀ௃Dூ᪆௃••½ABCÍ3ÍËAB+BC=3.6m,AC=2.4m,BC2=AB2+AC2,ᓽ(3.6—48)2=AB2+2.42,/AB=1,ᦑ⌱D.ᐜ᪷4ÉÊ5ᳮmᜧ᪛ᢚ:ÔᑖḄÕx¡᪷4ᜧ᪛ḄÕx¥ᢚ:ÔᑖḄÀÖ:ÔᑖḄᓽḄÉÊ5ᳮḄ`ᵨYᵨÉÊ5ᳮ⚪ᐵD.9.ூᫀ௃Bூ᪆௃PVᵫBÙᑮCVÛᓽ0WxW4Ûy=1x4x=2x,PVᵫCÙᑮ஺VÛᓽ4WXW8Ûy=gx4x4=8,

9'ᔠ⚪)Ḅᦪᐵ¢ḄB.ᦑ⌱B.½4BPḄ☢à<ᑖ¨IÔᑖáØᵫBÙᑮCÛ☢à⌲ãäᜧᵫCÙᑮ஺Û☢àåÇÈ/mᦪᐵ¢Ḅ.$⚪ὃ>?ÙVᦪ⚪ᵨᑮḄstV3ÍËḄ☢àஹUᦪᙠ`b)æå\Ḅç¯10.ூᫀ௃Cூ᪆௃•.,èABḄVDi2஺ḄV.•ḄjᦑজY*•••&஺2ᙠ½48஺ḄÏÐïᓽ448஺ḄÏḄVð½48஺Ḅjᦑঝ┯ò*•••4ஹ5ஹB]ஹ&ᑖôÏ48ஹAD.BCஹCDḄV:MC\஻AC,AD=\BD,BG=%BD,A^DJ/BD,Bg/BD,rx•AD/AD=Bc,11111l•ÏËg~ÏËõᳮÏË4282c2஺2g~ÏË♦:D\G"AC,AMJ/BD,AC1BD,•BC//DCf1111ᓽND1C1/=900,••ÏË4aḄ஺1ýË•**A1C]—B]D],,:A?ஹB?ஹQஹ஺2ᑖ4/1ஹB[C]ஹC,D]ஹ415Ḅ*,•%2஺2=2^1^1,஺2c2=41஺1•,*A202=஺24282c2஺2!"ᳮA3B3c3஺3&484c4/!ᦑঞ)*+ট•••4BCDAC=a,BD=b,H.AC1,BD,S345ABCD=2ab,ᵫ/0Ḅ12Ḅឋ456789:ᑮ<=>Ḅ☢@ABCᩭḄ

10LMᡠOP)*Ḅᨵজঞট.ᦑ⌱PC.✌ᐜ᪷W⚪YZ[Aᓄ]ḄḄ^_4BCDᔜ^Ḅ^aᐵcdeᯠ]g6h⌱⚗j[ᑖ᪆_ᑨmPজ᪷W12Ḅnopqᑖ᪆ᓽ5+ঝ᪷W12Ḅnopqᑖ᪆ᓽ5+ঞ᪷W!Ḅᑨnnᳮ7m+ট᪷WAnBnCMnḄ☢@_4BCDḄ☢@tḄᦪvᐵcᩭwᐸ☢@.y⚪ὃ{Ḅ/012nᳮ|}/012~I/Ḅ%.x—2<0,x<2ᑣxḄx<2ᦑᫀBPx<2.᪷W8:[x-2<0,w[~Ḅᓽ5.y⚪ὃ{=᪷Ḅឋ4ḄᵨYPaS0]=-12.ூᫀ௃¡ᾠூ᪆௃P••¡ᾠ¡£Ḅᙳᦪᨬᜧ¡ᾠḄ§¨¡¡£Ḅ§¨¡ᾠḄᙳ©ª«ᡂ®¯°ª±n²³¡ᾠ´ᦑᫀBP¡ᾠ.᪷WᙳᦪḄᜧ¡§¨Ḅᜧ¡°ª:[ᫀ.⚪µ⌕ὃ{§¨·ᙳᦪᐵ|}§¨ᵨᩭ⊝v<¹ᦪWº»ᜧ¡Ḅv§¨¼ᜧ⊤¾¿¹ᦪWÀÁᙳᦪ¼ᜧᓽº»¼ᜧᦪW¼±n+Â稼¡⊤¾¿¹ᦪWᑖÄ°ªᔜᦪWÀÁᙳᦪ¼¡ᓽº»¼¡ᦪW¼±n.13.ூᫀ௃m>2

11ூ᪆௃:<=Æᦪy=(2<É)Ë—4ḄÍÎÏÐ4(Ñ,ᨴ)·8(%22)2.ᦑᫀBPm>2.ᵫxi<Þ2B>2568⍝yÕxḄ×ᜧØÙ¡,ᑣᵫ<=Æᦪឋ4568⍝ᨵP2—m<0.y⚪ὃ{<=ÆᦪÍÎMḄᙶ᪗ᱯã.ä*ᳮ<=ÆᦪÍÎḄឋ4*nyÕxḄAᓄåæ⚪Ḅᐵ.14.ூᫀ௃10ூ᪆௃P᝞Í!4BCDAC=16,BD=12,11:•AB=BC=CD=AD,OA=-AC=8,OB=-BD=6,22AC1BD,é408=90°,.-.AB=y/OA2+OB2=V82+62=10,ᦑᫀBP10.ᐜî[Íïᵫ!Ḅឋ4·ðñnᳮw:ᐸ^ᓽ5.⚪ὃ{!Ḅឋ46òðñnᳮó|}!Ḅឋ4·ðñnᳮ⚪Ḅᐵ.15.ூᫀ௃-1ᡈ-6ூ᪆௃P•••8(15,8),S34ᱥABC=X8=120,:õ2y=x+ntាùú&04BCḄ☢@ᑖB1P2Ḅûüᑖõ2y=x+ni_BCḄýBE(8—m,8),_xÿ
(ߟm,0),•••ᑖᡂᑖ☢4080,m=-1ᡈm=-6.ᦑᫀ!-1ᡈ-6."#$ᡠ&Ḅ☢S=15x8=120,,-y=x+mា1204BCḄ☢ᑖ512⚓7ᐳ20⚓

121!2Ḅᑖ7ᡠ9,-:ᑖᡂᑖ☢4080,᪷<=☢>?mḄ@.A⚪C⌕ὃFGḄឋI9JKLMᦪOPQ
Ḅᙶ᪗ᱯU7⊤W$
EஹḄᙶ᪗Y?⚪Ḅᐵ[.16.ூᫀ௃?!V18-V5xV10+(2022-TT)°=3V2-5V2+1=-2V2+1.ூ?᪆௃,_ᑭᵨbᢣᦪdḄឋI7L᪷eḄfᔠh#ᑖiᓄk7lmᔠno$ᫀ.p⚪C⌕ὃFGqᦪḄh#L᪷eḄfᔠh#7rsᓄkᔜᦪY?⚪ᐵ[.17.ூᫀ௃?!ᵫK■LMᦪy=(a—l)x+2a+1ḄOPo!ra-1<012a+1>1'?o!-[

1319.ூᫀ௃(1)!va=yjn4-1—Vn,b=Vn4-14-y/n(n>0),:.ab=«n+1—y/n)(s/n+1+Vn)=(Vn+l)2-(Vn)2=n+1—n=1,Q¦b¨᎔ᦪª(2)?!7«=8,:.a=V9—ᡃ7b=E+V8»a,bA-+-ba—>/9+x/8ᓝx/9-V8=(V9-V8)2+(V9+V8)2=17-2V72+17+2V72=34.ூ?᪆௃(1)ᑭᵨ±²³e7"#abḄ@7ᓽ?ª(2)ᐜ>$a,bḄ@7ᯠ·¸ᐭeº7ᑭᵨᑖ»ᨵᳮᓄl"#ᓽ?.A⚪ὃFGL᪷eḄfᔠh#7ᑖeᓄk>@7qᦪḄឋI7¾sᙢl"#Y?⚪Ḅᐵ[.20.ூᫀ௃4ூ?᪆௃?!(1)ÀÁÂÃÄᦪ4+ញ=20(Ä),a=20—8—3—5=4,ᦑᫀ!4ª(2)1Áo3ᑖḄÄᦪ20-8-4-5=3(Ä),⊡ᐰᩩÉ"O᝞ËOᡠW.1ÁᡂÌᩩÉ"O(3)1Áᙳᑖ!(8x2+3x3+4x4+5x5)+20=3.3(ᑖ).1ÁÎᦪ!3.514⚓7ᐳ20⚓

142Áᙳᑖ!(8x2+3x4+4x3+5x5)+20=3.25(ᑖ).2ÁÎᦪ!3.•••ÁÎᦪ|71ÁᡂÌḄᙳᦪᜧÐ2ÁḄᙳᦪ7•••ÑᙳᑖÎᦪÒQᑨÔ71ÁḄᡂÌÕ1.(1)ᵫ1Á4ᑖÄᦪJᐸᡠᓰØᑖÙoÚÄᦪ7ÚÄᦪÛÜ2Áo2ஹ4ஹ5ᑖḄÄᦪᓽ>oa!(2)ÚÄᦪÛÜ1Áo2ஹ4ஹ5ᑖḄÄᦪ>o1Áo3ᑖḄÄᦪ7ᓽ⊡ᐰOª(3)᪷<ÝᩗᙳᦪÎᦪḄßàᑡe"#7álᑖ᪆ᓽ.A⚪ὃFᩩÉ"OஹᡧÉ"O7?A⚪Ḅᐵ[Ys⚪7ᑭᵨᦪᔠḄ?.21.ூᫀ௃!(1)-AB//CD,:.(B+Z.C=180°,vFB=(D,•ZD4-ZC=180°,^AD//BC,.4BCDY7vAB=AD,•48CDYãª(2)ä_/C,%AB=BC,Z-B=60°,.ABCY|7AC=4B,Z.BCA=Z.ACD=zB=60°,Z-BAC=60°.••Z.BAC=Z-EAF,•FBAE=Z-CAF.ᙠABE¦7/.BAE=Z.CAFAB=AC,ZB=æ4c

15•••48E4CFG4S4),•••AE=AF.ூ?᪆௃(1)ᐜ4D஻BC,o4BCDY7ᵫãḄᑨßoèª(2)ᵫ“4S4”AABEZiACF,oè.A⚪ὃFGãḄᑨßឋI7ᐰ|ḄᑨßឋI7|ḄឋI7ãḄᑨß±éY?⚪Ḅᐵ[.22.ூᫀ௃?!(1)êᵬìíîy¦xïðḄMᦪᐵñe'ó=ḄìᵫO7MᦪOPô
(5,750),5/q=750,?oõ=150,**•yᵬ—150%êæìíîy¦öïðḄMᦪᐵñe÷æ=Ḅ4+b.ᵫO7ø0SxW2ù7MᦪOPô
(0,0),(2,400),(b=0'''12k+b=400'2?oú[=°2001:.=200%.ᵫO7ø24%45ù,MᦪOPô
(5,700)(2,400),(5k+b=7002"l2/c+b=400,2?oR=200,ûü(ý=100••yæ=100%+200,_6200%(0

1645z=900.67Ḅ⍝89900.ூ4᪆௃(1)ᑭᵨABCᦪEF4ᓽHI(2)ᑖKFLᵬNO2ᜩḄḄ⍝z,Q᪷“ᙠ5ᜩឮᑮ2ᜩḄᦔ᳛ᨬ#$%&ᡂ()”ᑡS46ᓽH.T⚪ὃWXYZᦪḄ[ᵨ\]Zᦪ^_`LaḄᙶ᪗ᑭᵨABCᦪEFLXYZᦪᐵCe4⚪Ḅᐵf.23.ூ6ᫀ௃47(1)OC=2OB=2,haBḄᙶ᪗(1,0),aCḄᙶ᪗(0,—2).i8(1,0),஺(0,—2)kᐭm=/^+q57rsh2,45th2•vw4᪆ey=2%-2.11(2)xa>0%S=--OC-\a\=-x2xa=aH-i-1xa<0%S=-OC-\a\=-x2x(-a)=-a.AOCḄ☢zS{aḄZᦪᐵCeS=|(—Q(Q<0)(3)জxS=2,~Aaᙠ-X_▲%a=2,••71=2x2—2=2,•••4aᙶ᪗(2,2).ঝxAM=2஺%a4AE1yaE,iJOE==2,•0Ml=4,•••aM
Ḅᙶ᪗(0,4)Ix஺”=஺4%7a4Ḅᙶ᪗(2,2),0A=2V2:.0M=0M3=2>/2>2haM2Ḅᙶ᪗(0,2)aM3Ḅᙶ᪗(0,-2);xMA=M஺%஺“4=2,•••aM4Ḅᙶ᪗(0,2).

17•••ᙠজḄᩩyᙠXaM,AMOAῪa”Ḅᙶ᪗Mi(0,4),M(0,2V2),M(0,-2V2).M(0,2).234ூ4᪆௃(1)ᵫ஺C,஺8Ḅ9H5La8,CḄᙶ᪗QᑭᵨABCᦪEᓽHFLvwBCḄ4᪆eI(2)ᑖa>0Oa<0#ὃ⇋ᑭᵨḄ☢zeᓽH`LSᐵaḄZᦪᐵCeI(3)জᵫSḄOa4ᡠᙠḄH5La4Ḅᙶ᪗QᑭᵨXYZᦪ^_aḄᙶ᪗ᱯᓽHFLaAḄᙶ᪗IঝᑖAM=4஺0M=04OMA=M஺ὃ⇋ᑭᵨῪḄឋ¢O#a£Ḅ¤¥e(ᡈ§¨Bᳮ)ᓽHFLᔜMaḄᙶ᪗.T⚪ὃWABCᦪEFXYZᦪ4᪆eஹḄ☢zஹXYZᦪ^_aḄᙶ᪗ᱯஹ#a£Ḅ¤¥eNOῪḄឋ¢4⚪Ḅᐵf7(1)᪷aḄᙶ᪗ᑭᵨABCᦪEFLXYZᦪ4᪆eI(2)ᑭᵨḄ☢ze`LSᐵaḄZᦪᐵCeI(3)জᑭᵨXYZᦪ^_aḄᙶ᪗ᱯ`La4Ḅᙶ᪗7ঝᑖAM=4஺0M=஺4OMA=M஺FLa”Ḅᙶ᪗.24.ூ6ᫀ௃প®7••¯°4BCD{¯°EBE'F±²S•••BE=BE',AB=BC,
FEB=
E'=AEBE'=^ABC=90°,Z.ABE="BE',ABE=^CBE'(SAS),/.AEB=
CE'B=90°.•,(FEB=90°,^LAEF=Z.AEB+Z-BEF=90°+90°=180°,h³ஹEஹ´aᐳw.(2)CF=E'F.®7᝞^a஺DH14EH,1-18⚓ᐳ20⚓

18VDA=DE,DHLAE,i%.AH=-AE^ADH+^LDAH=90°.2f••¯°4BCD²S•.AD=AB,/.DAB=90°,••Z.DAH+Z.EAB=90°,:.Z-ADH=Z.EAB.ᙠ¶4஺”·484E¸2ADH=AEABFAHD=^AEB,AD=AB••¶4DHWAB4E(44S),-11%.AH=BE=-AE=-CE'.22VE'F=BE,E'F=-CE',2CF=E'F.(3)47DE=2g.᝞^a஺DH_LAEH.ᵫ(1)H54AEB=90஺.-%AB=10,BE=6,.•■AE=7AB2-BE?=8.ᵫ(2)H¹BE=AH=6,DH=AE=8,•••HE=2,DE=y/DH2+HE2=V4+64=2717.ூ4᪆௃(1)®¶ABE^CBE'CSAS),ᵫᐰḄឋ¢5L4EB=ACE'B=90°.LN4EF=180°,ᑣH5L¼½I(2)a஺DH1AEJH,®¶ADH^ABAE(AAS),ᵫᐰḄឋ¢5L4H=

19BE=\AE=ᑣH5L¼½7(3)a஺DH1AE¾ᵫ(1)H5N4EB=90஺.ᵫ§¨BᳮH5L¼½.T⚪¿¯°Àᔠ⚪ὃW²SḄឋ¢ᐰḄᑨB·ឋ¢§¨Bᳮ¹Ã4⚪Ḅᐵf²ÄÅ`ᐰ4ÆÇ⚪.-20⚓ᐳ20⚓