2020-2021学年上海市某实验中学七年级（下）期末数学试卷（附答案详解）

《2020-2021学年上海市某实验中学七年级（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。

2020-2021
☘
ᦪᔁ1.ᑡᦪᨵᳮᦪA.V2B.4C.V4D.V42.ᑡ┯ḄA.2018°=1B.-23=-6C.4=2d-3y3.ᑡ᪷!ᨬ#᪷!A.V9aB.V5a3C.Va24-b24.-ᑐḄ&'ᨵᳮᓄ)!()A.yjm+nB.>Jm—nC.y/m+yjnD.y/m—Vn5.ឋ-“/Ὺ123Ḅ14ᔠ&”ᐸᡠᢣḄ“4”:&A./Ὺ123;2Ḅ<ᑖ4B./Ὺ123ῪḄ>C./Ὺ123ῪḄ4D./Ὺ123⚔2Ḅ<ᑖ46.ᑡAB┯ḄABA.ᨵC2Dᐸ&2Ḅ2<ᑖ4EFG/ḄC'123ᐰ/B.ᨵCIDᐸ&IḄ4EFG/ḄC'123ᐰ/C.ᨵCIDᐸ&IḄ>EFG/ḄC'123ᐰ/D.ᨵ;ID&ᑁ2G/ḄC'/Ὺ123ᐰ/7.16Ḅ

117.᝞BஹCஹE1ᙠ^&«4¬B=AD,AC=AE,BC=DE,1+42+43=94°,ᑣ43=18.᝞N4BCḄIABḼA¯°┐²³a0°

2c26.᝞ᙠ£ABCABAC=90°,AB=AC,AEíAḄ&ᩩ«4B,Cᙠ4EḄCî஺ᙠ4,E:e8014Eq஺CE1AEqE,ÕïMBD=DE+CE.27.ðC'Åᨵ45஺2Ḅ«212ñ᝞òó஺ᙠ8côõBEஹAD,ADḄöÁ4éBEqF.(1)ÕïMAD=BE(2)ᑨøAùúBEḄûóᐵýþåæᳮᵫ.28.᝞/.AOB=90°,ÿOCᙠ4OBᑁ04=OB=OC,ὶACஹBC,0E14C,OF1BC,ᚖᑖEஹF.(1)᝞1,OC4OBḄᑖOC1EF(2)᝞2,8AOE஺OF=6.জ!ᑏ#8%B&'(Ḅᦪ*ᐵ,;ঝὶAO,AD஻OF,/01408஺Ḅ☢3.

312ᜓᵨ74⚓ᐳ15⚓

4:ᫀ<=᪆1.ூ:ᫀ௃Dூ=᪆௃ூᑖ᪆௃A⚪ὃDᨵᳮᦪḄᭆH᪷JᨵᳮᦪK᦮ᦪMN᦮ᦪஹ0ஹO᦮ᦪP<ᑖᦪḄQRSTᑖ᪆ᓽV.ூ=:௃=WXஹ/ஹZ[\Kᑖᦪ]\K᦮ᦪ\^ᨵᳮᦪᦑAஹBஹCᙳ\aᔠ⚪c;V4=2,K᦮ᦪ^ᨵᳮᦪᦑd⌱⚗aᔠ⚪cgᦑ⌱WD.2.ூ:ᫀ௃Bூ=᪆௃=WAஹ2018°=1,ᦑh⚪ijNkgBஹ—23=-8,ᦑh⚪ij┯mgCஹ4=2,ᦑh⚪ijNk;Dஹ3-1nᦑh⚪ijNkgᦑ⌱WB.᪷JoᢣᦪqWa°=l"0
,O᦮ᦪᢣᦪqWr=tM"0/N᦮ᦪPSTijᓽV.v⚪w⌕ὃDyoᢣᦪzஹO᦮ᦪᢣᦪz<ᑖᦪᢣᦪ{ᐵ|K}~ᔜj.3.ூ:ᫀ௃Cூ=᪆௃=WAஹᦪḄᦪᡈᦑA\aᔠ⚪cg8ஹᦪḄᦪᡈᦑB\aᔠ⚪cgCஹᦪ\ᑖgᦪ\ḄᦪᡈᦑCaᔠ⚪cgDஹᦪᑖᦑ஺\aᔠ⚪cgᦑ⌱WC.Dᨬ᪷ḄᩩKᔲḄKᨬ᪷ᔲᑣ\K.A⚪ὃDᨬ᪷Ḅᨬ᪷ᩩWᦪ\ᑖ;ᦪ\Ḅᦪᡈ.4.ூ:ᫀ௃Bூ=᪆௃=Wᵫ-97m-ri=m—n,ᡠ¡m—nḄ¢ᨵᳮᓄK¤¢¢,

5ᦑ⌱WB.¦#hḄ¢ᨵᳮᓄᓽV.v⚪ὃDy᪷Ḅ§¨©ª}~ᨵᳮᓄḄ¨K=A⚪Ḅᐵ|.5.ூ:ᫀ௃Dூ=᪆௃=W¬Ὺ®¯1Ḅ“®ᔠ¢”Kᢣ⚔¯ᑖ³0´Ḅµ³0´Ḅ¶·¸¹ᔠºᨵ⌱⚗஺aᔠᩩᦑ⌱WD.᪷J¬Ὺ®¯1Ḅ“®ᔠ¢”Kᢣ⚔¯ᑖ³0´Ḅµ³0´Ḅ¶·¸¹ᔠ,⌲⌱⚗STᑖ᪆ᓽV#¼.A⚪w⌕ὃDḄK¬Ὺ®¯1Ḅឋ¾©ª}~¬Ὺ®¯1Ḅឋ¾KNk=:A⚪Ḅᐵ|¿Àᓫ.6.ூ:ᫀ௃Cூ=᪆௃=:ᨵ¯Åᐸ¶¢¯Ḅ¯ᑖÇȸ¬Ḅ®¯1ᐰ¬ᦑ⌱⚗4Nk\aᔠ⚪cgᨵ0Åᐸ¶¢0´Ḅ¶Çȸ¬Ḅ®¯1ᐰ¬ᦑ⌱⚗3Nk\aᔠ⚪c;ᨵ0Åᐸ¶¢0´ḄµÇȸ¬Ḅ®¯1\¢ᐰ¬᝞ÌᡠÍWHE/AB=EF,AC=EG,/.ABC=60°,Z.FEG=120°,ᑣCO=GH,ffijA/lBCSlAEFG^ᐰ¬ᦑ⌱⚗C┯maᔠ⚪cgᨵ³0Å¢ᑁ¯¸¬Ḅ¬Ὺ®¯1ᐰ¬ᦑ⌱⚗DNk\aᔠ⚪cgᦑ⌱WC.᪷J⚪c<ᔜ⌱⚗¶ḄݨV¡ᑨßà⌱⚗¶ḄݨK┯mḄáâV¡=:A⚪.A⚪ὃDᐰ¬®¯1Ḅᑨ=:A⚪Ḅᐵ|Kãk⚪cᑭᵨᐰ¬®¯1Ḅᑨ¨=:.7.ூ:ᫀ௃±4ூ=᪆௃=W•gM±4P2=16,16Ḅ᪷K±4.ᦑ:ᫀ:+4.᪷J᪷ḄᦪaḄ᪷]K¢ᦪx,ë/=a,ᑣxK“Ḅ76⚓ᐳ15⚓

6᪷ᵫvᓽV=ìí⚪.A⚪ὃDy᪷Ḅ.îc¢Nᦪᨵ᪷ïð·¸ñᦪg஺Ḅ᪷K0WOᦪòᨵ᪷.8.ூ:ᫀ௃5V2ô=᪆õ=Wh=V2xV5xV5=-2x5x5-5ᡈᦑ:ᫀW5V2.᪷J᪷Ḅ§◀¨¨ᑣஹ᪷Ḅឋ¾ijᓽV.A⚪ὃDḄK᪷Ḅ§◀¨©ø᪷Ḅ§◀¨¨ᑣK=⚪Ḅᐵ|.9.ூ:ᫀ௃35ூ=᪆௃=WúûᓄüḄ1ᡂþ=3J,ᦑᫀ35.᪷ᑖᦪᢣᦪḄᓽ.⚪⌕ὃᑖᦪᢣᦪ‘!"ᑖᦪᢣᦪ#Ḅ$⚪Ḅᐵ&.10.ூᫀ௃ுூ᪆௃᪷.ᦪ/0ᜧ2Ḅ345-2V3>-4.ᦑᫀ>.;.ᦪ<ᜧ=0,>.ᦪ<2=0,;.ᦪᜧ=?ᑗ>.ᦪAB>.ᦪCDEᜧḄFG2HᑨJᓽ.H⚪⌕ὃ.ᦪᜧ2/0Ḅ34⌕!"H⚪Ḅᐵ&$⌕KL;.ᦪ>0>>.ᦪAB>.ᦪCDEᜧḄFG2.1I.ூᫀ௃2ூ᪆௃•••3ci-1=11-3a,A6a=12,*e•ci—2.ᦑᫀ2.᪷?WᙢYZB[\᪷]ᓄᨬ`[\᪷]a᝞cdeḄfg3ᦪhijYkZB[\᪷]lmin[\᪷]ᑡp3qraᓽ.⚪ὃin[\᪷]ᨬ`[\᪷]!"?WᙢYZB[\᪷]ᓄᨬ`[\᪷]a᝞cdeḄfg3ᦪhijYkZB[\᪷]lmin[\᪷]$⚪Ḅᐵ

7&.12.ூᫀ௃|ூ᪆௃ᙠᡠᑡḄ7Bᦪvwᳮᦪᨵz0.1313313331…….{AB1|}~\?B3k2B•.k7Bᦪv?BᦪᑮwᳮᦪḄᭆ᳛$ᦑᫀpᑭᵨᭆ᳛]5.⚪⌕ὃᭆ᳛]⚪Ḅᐵ&$!"4Ḅᭆ᳛P
4=ApḄcᦪ+ᡠᨵpḄcᦪ.13.ூᫀ௃1.9x105ூ᪆௃:186000=1.86X105x1.9x105.ᦑᫀ$1.9x105.ᦪ4Ḅ⊤]ax10,Ḅ]ᐸvlW|a|<10,"᦮ᦪᨵᦔᦪḄ34$¡¢£?B¤$0Ḅᦪ¥a☢ᡠᨵḄᦪ<$ᨵᦔᦪ.H⚪ὃᦪ4Ḅ⊤34§¨ᵨᦪ4⊤ḄᦪḄᨵᦔᦪḄL34.14.ூᫀ௃©ªABḄᚖ¬ᑖ©¤ᒹ®ABḄv¯ூ᪆௃••
ABC§©ªAB°¢C4=CB,.•.¯Cᙠ©ªABḄᚖ¬ᑖ©±◀³´A8Ḅµ¯{µ¯¤¶·¸¹Ḅᩩ».•.§©ªA8°¢Ḅ¼Ὺ¸¹Ḅ⚔¯CḄ¿À$©ªABḄᚖ¬ᑖ©¤ᒹ®ABḄv¯.ᦑᫀ©ª4BḄᚖ¬ᑖ©¤ᒹ®ABḄv¯.¶·
4BC§©ªA3°¢ÁC4=C8,᪷©ªḄᚖ¬ᑖ©ᑨ5ᑮ¯Cᙠ©ªABḄᚖ¬ᑖ©±◀³´ABḄµ¯{µ¯¤¶·¸¹Ḅᩩ».⚪ὃ¿À¿À$¯ᢥ?ᩩÄÂᡠÅÆḄÇÀ.Èὃ©ªḄᚖ¬ᑖ©ᑨ´ឋÊ.15.ூᫀ௃72ᡈ36ூ᪆௃জÍ72஺¹$⚔¹Ï⚔¹72஺ঝÍ72°¹$°¹Ï⚔¹=180஺?72஺X2=36°.ѱᡠÒ⚔¹$72ᡈ36Ó.ᦑᫀ72ᡈ36.¼Ὺ¸¹Ḅ?Bᑁ¹$72஺ᑣÖ¹$°¹È$⚔¹×Øᑖn.⚪ὃ¼Ὺ¸¹ḄឋÊᙠÙHnÚ⚪ḄÏ᎛⌕×ØÜÚ⚪ḄᡠᨵḄÝ£8⚓ᐳ15⚓

8àápᑖâãä.16.ூᫀ௃4E=4D(ᫀ¤æ?ᡈZB=NC,ᡈç4ED=N4EC)ூ᪆௃ᵫ⚪éAB=AC,ç4=ç4,§êëᩩ4E=40,ìᓃÏᙠAABEî4C0vAB=ACç4=ç4,AE=AD•A8EgZk4C0(S4S)§êëᩩ4B=4C,ìᓃÏᙠAABEî4C0v4=4AB=AC(fZ-B=Z-C•••48E^A4C0Q4S4)§êëᩩç4ED=41EC,11ᓃÏᙠïA8EîïAC஺vLA-=LA{ç4EB=/.ADC,AB=AC.ABEg/kACD(A4S)ѱéÍêë?Bᩩ$4?=/D,ᡈ/B=ZC,ᡈç4ED=ç4EC,<§ð5LABE^LACD.ᦑᫀAE=4஺(ᫀ¤æ?ᡈçB=஻ᡈç4ED=஻EC)òvóᐳ¹ç4=ç4Ḅᩩᔠ⚪võpḄᩩ=4C,öêë?Bᩩ,÷⌕øᑨAB¸¹ᐰ¼Ḅ<§.⚪ὃᐰ¼¸¹Ḅᑨ៉ᐰ¼¸¹ᡠᨵḄᑨᳮ$⚪Ḅᐵ&.17.ூᫀ௃47û᪆üᙠA/BCîA4DEv,AB=ADBC=DE,AC=AE••4BCgZk4DE(SSS),•
ABC=Z1,
BAC=42,•z3=
ABC+Z,BAC=+42,41+42+ᓃ3=94°,243=94°,z3=47°,ᦑᫀ47.

9ᐜþKïABCDE,4BC=41,^BAC=z2,ᵫḄ᜜ḄឋZ3=/.ABC+Z.BAC=zl+Z2,᪷41+42+43=94°,ᓽ#$43=47°.'⚪ὃ*+ᐰ-Ḅᑨ/0ឋ12345ᐰ-Ḅᑨ/0ឋ1᜜Ḅឋ6789⚪Ḅᐵ;.18.ூ>ᫀ௃ABூ7᪆௃7D•••-FABCḄFHI“1•AB=AC=Q,BAC=60°,•••NABCḄFABOḼQARS┐UVaX0஺ᫀIDia2.✌ᐜ᪷-Fஹ“jU”Ḅ/lAAB'C'6-Ὺn1ᐸpAB'=AC'=a.᪷SAMc1=•C'ᓽ#$7.'⚪ὃ*+UVḄឋ1-FḄឋqrḄ☢t.uᵨUVḄឋ67⚪Ḅᐵ;.19.ூ>ᫀ௃7D%&=3-2'+a-a+2'-6=3-yj2.ூ7᪆௃w⚪x⌕ὃ*+z{᪷|Ḅ}ᔠu1ᓄᔜᦪ67⚪ᐵ;.nᑭᵨ᦮ᦪᢣᦪḄឋz{᪷|Ḅឋᑖᓄ>ᫀ.20.ூ>ᫀ௃7D|=3-ᡃ+=3.ூ7᪆௃᪷z{᪷|Ḅuᓽ#$>ᫀ.'⚪ὃ*z{᪷|Ḅu17⚪Ḅᐵ;623uᵨz{᪷|Ḅuᑣ1'⚪Ạ⚪.10⚓1ᐳ15⚓

1021.ூ>ᫀ௃7D|=33x(33)5+3231---632233-+-3232-=9.ூ7᪆௃᪷ᑖᦪᢣᦪ¡Ḅឋ¢ᦪḄuᑣ7>ᓽ#.'⚪x⌕ὃ*+ᑖᦪᢣᦪ£12345¤Ḅឋ67>'⚪Ḅᐵ;.22.ூ>ᫀ௃7D᦮ᳮDV2x-V3x<3,7Dx>=-2V2-3V3,V2-V3ᓽx>-2V2-3V3.ூ7᪆௃✌ᐜ¦⚗1¨©ᑭᵨªᐗª{¬-|Ḅ7$>ᫀ.w⚪x⌕ὃ*+ªᐗª{¬-|Ḅ7qrz{᪷|Ḅᵨ1ᓄz{᪷|67⚪ᐵ;.23.ூ>ᫀ௃7Dv%=2-V3,•••x-1=1—V3<0,(x+l)(x-l)|=x(x-l)x-1X+1|x—1|XX-1x+1.=------F11,x_2%+1=-----,x®¯=2—±S1|=—5~2^=4+V3.2—v32—V3ூ7᪆௃᪷ᑖ|Ḅ}ᔠuᑣஹz{᪷|Ḅឋ²|ᓄ1²XḄ³´ᐭ¶ᓽ#.'⚪ὃ*Ḅ6ᑖ|Ḅᓄ$³ஹz{᪷|Ḅឋ145ᑖ|Ḅ}ᔠuᑣ67⚪Ḅᐵ;.24.ூ>ᫀ௃7D᝞¸1¹8D,vAB=AD,A•Z.ABD=Z.ADB.vZ.ABC=Z-ADC,:.Z-CBD=Z.CDB.BC=CD.ூ7᪆௃¹BO,᪀⌼-ῪABCBCD,ᑭᵨ-ῪḄឋ¨¼½¾.

11'⚪x⌕ὃ*+-ῪḄᑨ/0ឋ17⚪S1¿ÀÁÂÃÄ᪀⌼-Ὺ1ᑭᵨ“-Å-F”Ḅឋ½¾ÆÇ.25.ூ>ᫀ௃7D"AC=AB,AO6pÄ1AD1BC,♦••BEÈᑖ4BC,EF1BA,ED1BC,+.ED=EF=3.ூ7᪆௃ᐜ᪷-ῪḄឋᑮ4D1BC,ᯠÊ᪷ÈᑖÄḄឋᑮED=EF=3.'⚪ὃ*+ÈᑖÄḄឋDḄÈᑖÄËḄQᑮḄÌFḄÍÎÏ-.Ðὃ*+-ῪḄឋ.26.ூ>ᫀ௃ÑÒDv/.CAE+BAD=90°,4BAD+ABD=90°,•••/-CAE=ABD.•••4ADB=Z.AEC=90°,AB=AC,+.XABDQ4CAE.•••AD=CE,BD=AE.■■AE=AD+DE=CE+DE,BD=DE+CE.ூ7᪆௃ᐜ᪷Ó¾ÑÒAABD^^C4E,Ô©ᑮAD=EC,BD=AE,ÕIAE=AD+DE=CE+DE=BOÔ©ᑮ+ÆÇBO=DE+CE.w⚪x⌕ὃ*Ö×Å-ῪḄឋrᐰ-Ḅᑨ/ØḄ45ÙÚ.ÑÒÄÛḄÜ9⚪ÝÝ¿Àᐰ-ᩭÑÒ1⌕45ßàá⌕ḄØ.27.ூ>ᫀ௃(1)ÑÒD•••DCE,AaCBã6-Ὺn,CE=CD,CB=CA,^ACD=BCE=90",ᙠ4(704BCEp1AC=BCZ-ACD=BCE,CD=CE:.&ACDQ&BCE(SAS),:.AD=BE.(2)7:ÆÇDAF1BE.ᳮᵫDSACDqABCE,:.Z.CAD=Z-CBE,vZ-CDA=BDF,12⚓1ᐳ15⚓

12•BFD=Z-ACD=90°,.AF1BE.ூ7᪆௃'⚪ὃ*ᐰ-Ḅᑨ/ឋ1-ῪnḄឋ-¾æ17⚪Ḅᐵ;6çèᐰ-789⚪1pὃéὃ⚪.(1)᪷S4SÑÒBCEᓽ#789⚪.(2)ÆÇDAF1BE,ᑭᵨᐰ-Ḅឋ1᪷“8ê”ÑÒ8?0="CD=90°ᓽ#.28.ூ>ᫀ௃CD+BF=6ூ7᪆௃পÑÒDOC644086ÈᑖÄ,••Z.AOC=Z-BOCᙠzkaocBOCp10A=0BZ.AOC=BOC,0C=0C••
A0CgA80C(S4S),••Z.OCA=OCB,v0E1AC,OF1BC,:.OEC=M)FC=90°,ᙠ^஺íCp1Z.OEC=Z.OFCOCE=Z.OCF,OC=OC••.
OEgAOFC(A4S),•OE=OF,CE=CF,,OCᚖnÈᑖEF,•OC1EF(2)7DজÆÇDCD+BF=6.ᳮᵫD•••OA=OC=OB,
A180°—ᓃ40c1800-Z.BOC•Z,OCA=---------,OCB=------------22360°-4OB3600-90°=135°,224ECD=180°-(AOCA+40C8)=45°,•••OE1AC,:.Z.OEC=90°,•ZD=Z.OEC-ECD=45°,vOB=OC,OFIBC,(OFC=90°,CF=BF,

13.•.
OFD6-Ὺn1..OF=DF=6,•:DF=CD+CF,CF=BF,•CD+BF=6ঝᵫ(1)¾4஺OF6-Ὺn,DOB:.OF=DF=6,4OFD=60°,OF1BC,OB=OC,•OFC=Z.OFB=90°,CF=BF,ᙠ
OFC
OrBp1OF=OFZ.OFC=OFB,CF=BFOFB(SAS),S&OFC=S&OFBvOA=OC,OE1ACf•OEᚖnÈᑖAC,:.DA=DC,ᙠ/஺஺
COOp1OA=OCDA=DC,OD=OD•
A஺஺"COO(SSS),•••SMOD=S&CODS-./AOBD~S4A஺஺+S&COD+SdOFC+S^OFB=2(SdCOD+S2OFC)=2SAODF1=2x—x6x6=36.(1)ÑÒ
0ECg40FC(44S),½OE=஺òCE=CF,#ÆÇó(2)জÆÇ:CD+BF=6.ÑÒOFD6-Ὺn,½OF=DF=6,#ÆÇóঝÑÒ஺íCô஺/B(SZS),½SAO”=S^OFHÑÒ
40஺õZkCOOGSS),½S—oo=SஹCOD,ᑭᵨSôFᱥ08஺=SfOD+S&COD+=2(S+S^)AC0D0FC#ÆÇ.'⚪ôF÷ᔠ⚪1ὃ*+ᐰ-Ḅᑨ/ឋ1ôFḄ☢t-¾æ17⚪14⚓1ᐳ15⚓

14Ḅᐵ;6çèᐰ-789⚪1pὃéὃ⚪.