2021-2022学年浙江省杭州市西湖区七年级（下）期末数学试卷（附答案详解）

《2021-2022学年浙江省杭州市西湖区七年级（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
ḕ
ᦪᔁஹ⌱⚪ᜧ⚪ᐳ10⚪ᐳ30.0ᑖ1.⌕!ᑖ"#7ᨵ%&'Ḅ)*,-.X—1A%஺—1B.%1C.%>1D.%<12.122022TḄ34567A.2022B.-2022C.—D•93.:;Ḅ<=>0.00129g/cm3,0.00129?@ᦪᵨBCᦪDE⊤G>()A.0.129x10-2B.1.29x10-2C.1.29x10-3D.12.9x10-14.᝞KL41=70஺⌕!a//b,ᑣ◤ᐹᜓQ@ᩩS7A.Z-2=110°B.43=70°C.Z4=105°D.Z5=115°5.ᑡ12U34Ḅ7A.(—a)3+a2=a5B.(—a)3—a2=—aC.(-a)3xa2=-a5D.(—a)3+Q?=6.ᑡV⚗"XᵨYZ[\"ᑖ]^"Ḅ7A.a2+(-6)2B.a2+h2C.-a2-b2D.-a2+627.⌕!V⚗"஺p
%-q_`aḄb⚗cdAp+q=0B.pq=1C,p=qD.pq=-1(-D(ax+by=7R8.L:f;7Zhijk'Ḅ]ᑣQ—cḄ*7()—J-oxᓝLey—3A.1B.1C.2D.n229.᝞KopAB//CD,BE,OEᑖqYᑖ/4BFrNCCF,stuvE,ᑣA.
E=4FB.NE+NF=180°C.2z.fi1+d=360°D.2%-NF=180°

110.La,b>}ᦪs-.஺~1,b^-1,Ef+ᨵ2a+1b+1a+1b+1@5nজLab=I,ᑣM=NঝLa+b=0,ᑣMN<0.ᑡᑨ34Ḅ7()A.জঝ┯B.জ┯ঝC.জঝ┯D.জঝfஹ:⚪(ᜧ⚪ᐳ6⚪ᐳ24.0ᑖ)11.^"ᑖ]nx2+2x+1=.12.12nx-x3+(2x2)2=.13.LiᦪḄ᪵>40,ᑖᡂ6i¡5iᦪḄ⚣ᦪᑖq79,5,8,6,8.ᑣ¦6iᦪḄ⚣᳛7.14.¨©ªᔆᨵ¬25®¯¯ᜩYᙳ²³ª´9@ᡈªᱏ12ᱏ.>·!¯ᜩ²³Ḅª´rªᱏ¸¹ºᝅx®¬²³ª´y®¬²³ªᱏᑣEᑡ½Zhi:15.L(1+m)(2+m)=3,ᑣ(1+m)2+(2+¿>=.16.ᡃÂÃ&n/(x)=Wᑣ/(10)=;ẑ)+ᶚ+…+È)+fপ+(°)+/প+/ফ+…+.19)+f(20)=.ஹ]Í⚪(ᜧ⚪ᐳ7⚪ᐳ66.()ᑖ)17.7ᙊᙊ12f+4Ḅ]ÍÐh.x-11-XAnX2,1X2.1X2+lx-11-xx-1x-1x-1ᙊᙊḄ]ÍÐh7ᔲᨵ┯Ö×᝞6ᨵ┯Öᑏ½34Ḅ]ÍÐh.18.]ZhᡈZhin19.¨᪥Ú¿Û)·Üᑖ²“ᨬß᰿Ḅáâãäå⚗æ”èéêᔁëì(¯íî⌱sïX⌱ᐸU⚗)ñᑮóô_õ᦮Ḅ÷1K⊤.ø᪷K⊤úûüÍê⚪n(1)ýþÿᔁḄᦪ.(2)ᙠᔁḄᨬ᰿“ᔠ”Ḅᨵ(3)᪥ᐳᨵ#1500'(᪥#ᨬ᰿“)*+”Ḅ,2⚓ᐳ14⚓

2ᦪ./0Ḅᨬ᰿Ḅ1234⚗6Ḅ78⊤/0Ḅᨬ᰿Ḅ1234⚗6Ḅᡧ;78

322.᝞<1,JDG;oᱏABCDqMNᢚstᑮ<2,v4,BḄwxvᑖ@EvA,B',ᢚsy4MCNz{|vE.(1)m48'NC=48஺eNA'MOḄ~ᦪ.(2)NB'NC=a,
A'MN=0.জ[ᵨ]aḄ^ᦪ_⊤`..ঝcMA'ាᑖWMNdeNA'MCḄ~ᦪ.23.⌕ᙠDG;₝ᑜ3ᙽᜧ;B᪵ḄDG;(<▢LMᑖ).(1)᝞<1,ᜧDG;ḄzDᑖ@E60m*45m,eDG;ḄzD.(2)᝞<2,ᜧDG;ḄzDᑖ@Ea*dDG;ḄzDᑖ@Ex*y-জ1DG;ḄᕜDᜧDG;ḄᕜDḄlᔲElm[el;m[¡¢ᳮᵫ.ঝmḄ☢b᦮ᙽ₝☢bḄ¦ex*y§¨Ḅᐵª_(]a,b).,4⚓ᐳ14⚓

4«ᫀ*᪆1.ூ«ᫀ௃Bூ᪆௃¦ᵫ⚪²t¦x-1*0,t¦xM1,ᦑ⌱¦B.᪷»ᑖ_ᨵ²¼Ḅᩩ¾¿tx-1*0,Àᓽ¿.Â⚪Ã⌕ὃÅᑖ_ᨵ²¼Ḅᩩ¾ᐵÆÇÈᑖ_ᨵ²¼Ḅᩩ¾ᑖÉÊ|Ë.2.ூ«ᫀ௃Cூ᪆௃¦2022T=Îᦑ⌱¦C.᪷»Ï᦮ᦪᢣᦪÑÒ=*(a*0)ᓽ¿t«ᫀ.Ô⚪ὃÅÏ᦮ᦪᢣᦪÕÇÈÖ=×0)⚪ḄᐵÆ.3.ூ«ᫀ௃Cூ᪆௃¦0.00129ᦪᵨÙÚᦪÛ¿⊤`E1.29x10-3.ᦑ⌱CÝwl|1ḄUᦪÞ¿ßᑭᵨÙÚᦪÛ⊤`Bà;_EaxlO-%äᜧᦪḄÙÚᦪÛåḄᐸᡠçᵨḄÏᢣᦪÕᢣᦪᵫèᦪéê,BEËḄᦪëì☢Ḅ஺Ḅᦪᡠí.Ô⚪ὃᵨÙÚᦪÛ⊤`äḄᦪBà;_Eax10-%ᐸ1îïð10,nEᵫèᦪéê,BEËḄᦪëì☢Ḅ0Ḅᦪᡠí.4.ூ«ᫀ௃Bூ᪆௃¦c43=70஺d41=43,a஻”åõözÊ÷øP).ᦑ⌱¦B.ùúû1=70஺⌕ça஻4¿ᢥåõözÊ÷øPýᑁ┯
;ᑁ⊡⊡ᐙᩩ.

5⚪⌕ὃḄᑨ!⌕ᑨḄ⚪"#$%&'ஹᑁ┯*ᑁ.5.ூᫀ௃Cூ᪆௃14ஹ(4஺)38a?;<ᔠ>ᦑA;Aᔠ⚪BCBஹ(-a)384a?;<ᔠ>ᦑ8;Aᔠ⚪BCCஹ(—a)3xa2=-a5,ᦑCAᔠ⚪BCDஹ(-a)3-T-a2=-a,ᦑ஺;Aᔠ⚪BCᦑ⌱1C.᪷Iᔠ>!⚗KᦪMḄNOKᦪMḄ◀OOᑣRST⌲4ᑨVᓽ".⚪ὃᔠ>!⚗KᦪXḄNOKᦪMḄ◀OYZ[\]^Ḅ_TOᑣ`⚪Ḅᐵb.6.ூᫀ௃Dூ᪆௃1dஹa2+(-b)2,eOᑖgh;ᔠ⚪BCBஹa2+b2,eOᑖgh;ᔠ⚪BCCஹ-a2-b2,eOᑖgh;ᔠ⚪BC஺ஹ—a2+b2=(b—a)(b+a),Aᔠ⚪BCᦑ⌱1D.kᑭᵨnhOᑖghopᫀ.⚪⌕ὃnhOᑖghqrsᵨnh`⚪ᐵb.7.ூᫀ௃Aூ᪆௃1(x-p)(x-q)=x2-px-qx+pq=x2—(p+q)x+pq,gz;{xḄ4|⚗ᡠ~-(p+q)=0,ᡠ~p+q=0,ᦑ⌱1A.ᐜ᪷I⚗hN⚗hḄOᑣST(x-p)(x-q),ᯠxḄ4|⚗ᦪz0ᓽ".⚪ὃ⚗hN⚗h⚪Ḅᐵb`YOᑣ⚗h8⚗h
Nᐜᵨ46⚓ᐳ14⚓

6⚗hḄ4⚗84⚗hḄ4⚗
NᡠoḄ
.8.ூᫀ௃A2a+b=7জூ᪆௃1Ḅᐭo:b+2c=5ঝজ4ঝo12"2c=2,••a—c=1.ᦑ⌱:A.Ḅᐭoᑮ1h
ᓽ"opᫀ.⚪ὃ|h
koᑮa-cḄ`⚪Ḅᐵb.9.ூᫀ௃Cூ᪆௃1E᝞¢1AB■AB//CD,EM//AB•••CDHEM,/.ABE=/.BEM,4CDE=LDEM,£BFḄᑖ84CDFḄᑖ
¤¥E,11Z.ABE=-/.ABF,Z.CDE=-Z.CDF,22•••ABED=BEM+Z.DEM=[(UBF+/.CDF),•:ABF+Z.BFD+Z.CDF=360°,Z.ABF+Z.CDF=360°-BFD,/.BED=|(3600-zBFD),᦮ᳮo12BED+BFD=360°.ᦑ⌱1C.EEM஻4B,ᑭᵨḄឋª"«oNBED=8448/+“஺)"~oᑮNBED8NBFOḄᐵ.⚪⌕ὃḄឋª*ᑖ®¯⚪Ḅᐵb`°±᪀⌼ᑁ~

7´ᑁ┯µIḄឋªR¶·ST⚪¸¹Bᦪº»ᔠ¼½Ḅ_ᵨ.10.ூᫀ௃D,1,1ஹa-1,b-12ab-22(ab-l)ூ᪆௃:,•,”"Á+ញ4--------1--------J=---------1=-------------------a+1b+Ya+1---b+1-----(a+l)(b+l)(a+l)(b+l)'.•.Ãab=l¸M-N=0,ᓽ¸=7,ᦑজqr;M.N=(ÄÅ)Æ+#=(a+l)2+(a+al)+(bh+l)+g+bl)2'ab_a(d+l)2+d(a+l)24abÃQ+b=0¸,M•N=(a+1)2+(d+1)2—(a+l)2(b+l)2(a+l)2(d+l)2•••QH—1,b#$1,(Q+l)2(b+l)21>0,••Q+b=0,•a=%b>•4ab=-4b2<0,AM-/V<0,ᦑঝqr.ÈÉᡠÊ»ËজঝÌqrᦑ⌱1D.ᓄÎM—N,"oM-N=J*?ᑣÃ▬=1¸M-N=0,ᓽ"=N,ᦑজqrCÃa+b=0¸ᓄÎM,N,",M-N=,ᵫa*—l,bd—1,a+b=0,22"oM-NW0,ᦑঝqr.⚪ὃᑖhḄÑᔠ_TYZ[\ᑖhḄÑᔠ_TḄ_TOᑣ`⚪Ḅᐵb.11.ூᫀ௃Òx+l2ூ᪆௃1X2+2%+1=ÒX+12,ᦑᫀz1ÒX+12.⚪_ᵨÓᐰnhRghᑖᓽ".⚪ὃ_ᵨnhORghᑖ[

8hOḄXºh>

9ூ᪆௃1%-X3+(2%2)2=X4+4%4=5x3ᦑᫀz15x4.ᐜTNTNOTᓽ".⚪ὃMḄN8ḄNKᦪMḄNOYZ[\]^Ḅ_TOᑣ`⚪Ḅᐵb.13.ூᫀ௃0.1ூ᪆௃1ᵫ⚪Bo140—9—5—8—6—8=4,4-5-40=0.1,••6ᦪIḄ⚣᳛`0.1,ᦑᫀz10.1.ᐜpÛᦪIḄ⚣ᦪᑭᵨ⚣᳛=⚣ᦪ+Ü|ᦪRSTᓽ".⚪ὃ⚣ᦪ8⚣᳛ÜÝஹÝஹ᪵ஹ᪵ßàYZ[\⚣᳛=⚣ᦪ+Ü|ᦪ`⚪Ḅᐵb.14.ூᫀ௃ூ᪆௃1áXâãäåæçèyâãäåæçᱏ᪷I⚪Bo:(x+y=25(9x=2x12yᓄÎ᦮ᳮofx+y=25(.9%—24y=O'‘ï+y=25ᦑᫀz:9%—24y=0'áXâãäåæçèyâãäåæçᱏ"ox+y=25,ð᪷I2çᱏ*1çèាòó4ᝅ"o9x=2xl2y.⚪ὃᵫö▭¯⚪øùp4ᐗ4|⚪Ḅᐵb`ûü⚪Bápýþᦪ,&pᔠ〉Ḅ
ᐵᑡ.15.ூᫀ௃7

10ூ᪆௃,(1+⊈)(2+6)=3,:.2+3m4-m2=3,•m2+3m=1.•(1+m)2+(2+m)2=1+2m4-m24-44-4m+m2=2m2+6m+5=2(m2+3m)+5=2x1+5=7.ᦑᫀ7.ᐜᑭᵨ⚗!⚗Ḅ"ᑣ$%(l+m)(2+m)=3,&'(2+36=1,ᯠ*+ᵨ,ᐰ./012Ḅ3ᦪ560Tn?+3mḄ2᦮83ᐭᓽ;.<⚪ὃ?@᦮!"/⚗!⚗⚗A⚗B!CᐜᵨDE⚗ḄFD⚗!GDE⚗ḄFD⚗HIᡠ&ḄKBL.16.ூᫀ௃120ூ᪆௃/()=O=P•."(0)=0,/প=af(2)=|/ব=%/€)=S.•.••/(2)+T)=1/(3)+/(|)=1,...•••f(x)+f(U=l•1•/ᡈ)+f)+-+T)+fপ+/(0)+r(l)+Z(2)+/(19)+”20)=/(0)+[/(I)+/প]+[/(2)+Y+•-•+[/(20)+[)]=0+1+1+-+1=20.ᦑᫀ20.᪷^_`IBaḄ23ᐭ+%Hᑖ᪆ᐸdḄefgh;i1.<⚪j⌕ὃ?ᦪlḄmᓄefḄᐵopᵫᡠrḄs&'/(t+uU=1.v10⚓ᐳ14⚓

1117.ூᫀ௃ᨵ┯{.|+2_=|D_=±=@0=+1.x-l1-xx-1x-1x-1x-1ூ᪆௃aᵨᑖḄL"ᑣ$%ᓽ;&'ᫀ.<⚪j⌕ὃ?@ᑖḄL+%ᑖḄL+%"ᑣ1p<⚪Ḅᐵo.18.ூᫀ௃l2y—3"UজX=y-12Iঝ3ᐭজ&2y—30y—1=1,&y=2,Iy=23ᐭঝ&%=2-1=1,ḄI:321-£=-1%—1—1=1-X,&¢=1.5,£¤Px=1.5Cx—10,.•.%=1.5pḄ᪷.ூ᪆௃1ᑭᵨ3ᐭ¥ᐗ"$%ᓽ;S2ᢥ᯿ᑖḄ©ª$%ᓽ;.<⚪ὃ?@ᑖᐗD«¬ᙢ$%p⚪Ḅᐵo.19.ூᫀ௃14+8%=50±,²A³?Ḅ´µ¶ᦪ50±S250x32%=16A,ᨬº᰿“6ᔠ¾”Ḅ´µᨵ16±;50—11—16—4(3)1500x=570(±),50Á᪥Ãd´µdᨬº᰿“¾ÄžƔḄ±ᦪÇ570±.ூ᪆௃1gÈ$É⊤d;&“E”Ḅ⚣ᦪ4,ᡠᓰḄÎᑖÏ8%,;1'³?´µ¶ᦪS

12(2)“6ᔠ¾”Ḅ±ᦪᓰ³?±ᦪḄ32%,ᓽ;1'ᨬº᰿“6ᔠ¾”Ḅ±ᦪS(3)ᑭᵨ᪵<Ñ$¶8ᓽ;.<⚪ὃ?È$⊤ஹᡧÔÈ$ÉḄÕ`Åᑴ×"ᳮÈ$É⊤dḄᦪÙÚḄᐵpÛ⚪Ḅᐵo.20.ூᫀ௃(1)᪷^⚪Õ;&ÜÝᙢ☢KS,ᑣS=(3a+b)(2Q+b)-(a-b)2=6a2+Sab4-h2-(a2-2ab+d2)=6a2+Sab+h2-a2+2ab—b2=5a2+7ab1(2)Ia=4,b=33ᐭS=5a2+7abd,S=5x4?+7x4x3=164.Ýᓄ☢K164.ூ᪆௃(1)᪷^⚪ÕÝᓄ☢K
ßᜧáÔ☢KâdÚãÔ☢Kᑡ'3ᦪaᵨ⚗!⚗Ḅ"ᑣ$%ᓽ;&'ᫀS(2)IIa=4,b=33ᐭS(l)dḄäåd$%ᓽ;&'ᫀ.<⚪j⌕ὃ?@⚗!⚗᪷^⚪Õᑡ'3ᦪaᵨ⚗!⚗Ḅ"ᑣ$%p<⚪Ḅᐵo.21.ூᫀ௃(1)(Q-b)2+(Z?-c)2+(a-c)2=a2-2ab4-h2+62-2bc4-c2+a2-2ac4-c2=2a2+2b2+2c2-2ab—2ac—2bc1(2)a=98,b=100,c=102,a-b=-2,b-c=-2,a-c=-4,:.2a2+2b2+2c2—2ab—2bc—2ac=4+4+16=24,•a2b2+c2—ab—be—ac=121(3)va—h=1,b—c=2,•Q-c=3,•2a2+2b2+2c2—2ab—2bc—2ac=14-4+9=14,•a2b2+c2—ab-be—ac=7,va24-h2+c2=7,•ab+be+ac=0.v12⚓ᐳ14⚓

13ூ᪆௃(1)᪷^,ᐰ./ᓄæᓽ;S(2)᪷^⚪Õ;&a-b=-2,b-c=-2,a-c=-4,3ᐭ(1)dḄ
12ᓽ;S(3)᪷^6=1,b-c=2,;&a—cḄ2H+ᵨ(1)dḄ
12ᓽ;.<⚪ὃ?@,ᐰ./Ḅ+ᵨiê᦮Ḅᓄæ12,ᐰ./p⚪Ḅᐵo.22.ூᫀ௃(1)vNB'//A'M,•••^A'EC=B'NC=48°,•••CN//MD,ALA'MD=NA'EC=48°.(2)জᵫ(1)&4A'MD=KB'NC=a,<2A'MN+Z.A'MD=180°,A6=90஺-pঝVM4ាõ.ᑖNDMN,Z.A'MD=180°+3=60°.ூ᪆௃(1)᪷^.ö&ឋø1S(2)জ᪷^.öḄឋøêêᢚúḄឋø1Sঝ᪷^ᢚúḄឋøêû.ᑖöḄ_`1.<⚪ὃ?@.öḄឋøäᔠᢚúḄឋøp⚪Ḅᐵo.23.ூᫀ௃(1)ü⚪Õᨵýþᦑÿ
Ḅ10,25(2)জ1
Ḅᕜ2(x+y),1ᜧ
Ḅᕜ2(2x+y+x+2y)=6(x+y)•••2(x+y)6(x+y)=g.ᦑ1
Ḅᕜ#ᜧ
ḄᕜḄ$%&%#ঝ(⚪*ᨵ(2%+y)(x+2y)=2x3xy,ᓄ/02/23+2y2=o.ᦑ56y78Ḅᐵ:;2<->+2y2=o.

14ூ@᪆௃(1)᪷Dᜧ
ḄᑖF607n6456ᑡH
IJKLMN
Ḅ.(2)জᑖFNH1
Ḅᕜ#ᜧ
ḄᕜONHPQḄ$%ᓽMN@ঝ᪷D
Ḅ☢TU;ᓽMN@.V⚪ὃXYZᐗ2\
IJḄ]ᵨᑡ_ᦪ;@⚪ḄᐵabcdefVghijkὃlὃ⚪m.n14⚓ᐳ14⚓