2022-2023学年北京市海淀区七年级上册数学期中试卷（二）含解析

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2022-2023
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ᦪᔁஹ⌱⌱⚪ᐳ10⚪⚪ᨵ⌱⚗!ᔠ⚪#⚪3ᑖᐳ30ᑖ£1.3Ḅ&'ᦪ(]_A.3B.-3C.3D.3Dூᑖ᪆௃ᙠᦪ.☢0"2‘4(5ᦪḄ&'ᦪ.£j_ூ78௃89§Ḅ&'ᦪ;-ᦑ⌱9Q.⚪ὃ@A&'ᦪḄᭆCDᦪḄ&'ᦪ⌕ᦋGHᦪḄ!IᓽK.2.ᙠᨵᳮᦪ3,-2,o,1Ḅᨵᳮᦪ(A.-3B.-2C.0D.1Dூᑖ᪆௃᪷NᙠᦪO⊤QḄᨵᳮᦪRSḄᦪTUVSḄᦪᜧXYUZᓽK.ூ78௃891>0>-2>-3,Ḅ(1,ᦑ⌱9D.⚪[⌕ὃ@AᨵᳮᦪḄUZᜧ8⚪Ḅᐵ](^_`ᦪaᜧb0,cᦪab0,`ᦪᜧbᑗcᦪ.ecᦪUZᜧfᜧḄ'g.3.hᑡᔜklmI`nḄ(.Aa+26—3c+d=a—2b+3c—dR஺—26—3c+d=a—2b—3c+dCa—
2b—3c+d=a—2b+3c—dpa—26—3c+d=a—26+3c+dC

1ூ78௃⚪8᪆9Aஹa+(2b-3c+d)=a-26-3c+d,┯qrBa—(2b—3c+d)=a—2b+3c—d┯q.r'—(2b—3c+d)=a—2b+3c—dcஹ,7,unrDa—(2b—3c+d)=a—2b+3c—d┯qᦑ⌱C.vw9lmIḄxy9lmIz{ᵨ}yḄᑖ~ᐜmI.ḄᦪmIᔜ⚗&}{ᵨmI.(lmImIḄᔜ⚗aᨵᦋG!ImI.(lmImIḄᔜ⚗aᦋG!IlmI.4.2017
10ᨴ18-25ᙠᓅᑭA“ᓝ⊤ᜧ”.uᑮ2017
10ᨴ256zᙠᐵ]“”QḄ;96500000ᩩ¢96500000ᵨ£¤ᦪy⊤Q¥;().A.96.5xlO7B.9.65xl07.9.65xlOx.cD0.965xlO9Bூ78௃⚪8᪆996500000ᵨ£¤ᦪy⊤Q¥;99.65x107,ᦑ⌱B.vw9£¤ᦪyḄ⊤Q¨k;axionḄ¨kᐸIª«10,n;᦮ᦪ.nnḄfz⌕®¯ᦪGᡂazᦪv±²A³´µnḄfᦪv±²Ḅµᦪ&¶.·¯ᦪf1z,n(`ᦪr·¯ᦪḄfVIzn(cᦪ.5.hᑡᔜk¸¹`nḄ(().A.a2+a2=2a435m2-3m1=2Q~x2y+-0D.n-m2n=2mnCூ78௃⚪8᪆99Aஹ/+ᱏ=21,┯q;Bஹ5m2-3m2=2m2┯qr1C஺+¿=0,`nDஹ4m2n-m2n=3m2n,┯q2

2ᦑ⌱C.3Â2y6.ᓫ⚗k2ḄÇᦪᦪᑖÈ(331---__A.-3,3B.2,3C.2,2D.2,3B33—x2y—ூ78௃⚪8᪆92ḄÇᦪ;2,ᦪ;3.ᦑ⌱B.7.ᙠhᑡᔜᦪ+3,HÏಔÑ°,-|-5|cᦪᨵA.2B.3C.4D.5Bூ78௃⚪8᪆9Ö3=3,U=-4,-22=4-12020=1-|-5|=-5cᦪᨵ3.ᦑ⌱B.8.hᑡᔜÚᦪᦪf&ÛḄ(.A.TPÞ32B.-32Þ—3>-33Þ-â-3x23ÞcD-3x23Cூ78௃⚪8᪆:Aஹ-2-'=-8,-32=9B-32=-9
-32=9ஹ•Cஹè=-27,-33=-27D-3x23=-24
—3x23=—216ஹ•ᦑ⌱C.9.᝞êvAÞ8⊤QḄᦪᑖÈ;஺Þ6,hᑡkëᨵ`nḄ(.3

3A.a>-bgab<0Qa-h>0□a+h>0Cூ78௃ᵫᦪOKí9~}\fA⌱⚗b<—1,ᡠï஺>—b,`nrB⌱⚗ðIᡠïñ<0,`nrC⌱⚗a—b<0,┯qrD⌱⚗o+bு0,`n.ᦑ⌱C10.ᙠóṹõöKï®ᑮḄᑁø;ùṹÚùṹXYúûᜐᳮíᑮḄᑁø;óṹ.ᨵûóṹ¢ýᦻ26ÿa,b,c,z
ᨵᜧᑏ1,2,3,26x+126ᯠᦪ⊤.ṹḄx᜻ᦪṹḄ2,ṹX---F13ḄXᏔᦪṹḄ2.,-ahcdefghiJk/m12345678910111213,-nOPqrStliVwXyz14151617181920212223242526ᢥ#$%&'ṹ“Ẇ”(ᡂṹ*A.shxcBgawqsdrilovecDAூᑖ᪆௃ᢥ᯿ṹ4ṹḄᐵ67ᑮ/ove9:,-Ḅᢥ%&;<=ṹḄ>ᵫ7ᑮḄ,-ᓽABṹ.ூCD௃/ஹ஺ஹvஹeḄᑖG12ஹ15ஹ22ஹ5,ᢥ%&ṹḄᑖGH19ஹ8ஹ24ஹ3,ᑣJKḄ,-ᑖGsஹhஹxஹc.4

4ᦑ⌱HAN⚪ὃQRSTᦪUḄVḄᵨᐵX*ᳮD⚪9Ḅ%&.ஹ⚪⚪ᐳ8⚪⚪2ᑖᐳ16ᑖ11.ᓅᜧ▬9\]^_⍝ab☢Ḅde3fg+3fhijk✂ᙢnoᳫ✂ᩈᙢraᙢ☢Ḅde12fAgf.-12ூCD௃s⚪D᪆H..•\]^_⍝ab☢Ḅde3fg+3fuhijk✂ᙢnoᳫ✂ᩈᙢraᙢ☢Ḅde12fAg-12f.ᦑvᫀ-12.-1-12.2Ḅ᎔ᦪ*Vyz1°Ḅᦪ*._2জ.3ঝ.±10_2_2ூCD௃s⚪D᪆HH22,3Ḅ᎔ᦪ*3,}•••2Ḅ᎔ᦪ3,,.|+10|=10|-10|=10«.|±10|=10••_2ᦑvᫀ3,±10.13.᝞a+4
a>0Ḅᱏ9
a+1ḄᒕᑖᡂABCD
ᨵ◣ᑣABCDḄᕜ*.4a+165

5ூCD௃s⚪D᪆H᝞,V*Va+l

6ூCD௃DH,/-3-4=-7,-3+4=1,...ᦪ¬#ᑮ-3Ḅa4ᓫ®eḄ¯⊤°ᦪ*1§-7.ᦑvᫀ1§-7.N⚪µ⌕ὃQRᦪ¬Ḅᱯ¸§ᵨ¹ºᑖª»¼½Ḅᵨ⌕¾¿ÀÁ.17.¥a-2b=3,Ââ2a-4b-5=.1ூᑖ᪆௃ÄᡠSTᦪUÆᓄÈᨵa-2bUḄTᦪUᯠÉ'a-243᦮jTᐭÌSVᓽA.ூCD௃DHa-2b=3,,2a-4b-5=2
a-2%-5=2X3-5=1.ᦑ1.18.ᙠᨵᳮᦪḄÍᨵ\<Îᑣ9ᡃK⊡ᐙ&Òh\<“೙”᝞nHa೙b=b?,a೙6=a,ᑣx=3஺೙ÕÖÕ4೙xḄV.“•"§"ET¨ᨵᳮᦪ\<9ḄاÙ-6ூCD௃s⚪D᪆H,..Ú}3.
1೙xx-
4೙x=(1೙3>3—(4೙3)=1x3-9=—6ᦑvᫀ6ஹ⚪ᜧ⚪ᐳ8⚪ᐳ54ᑖ19.;<:94(-81)4--x--j-(-16)(1)-1.5+1.4-(-3.6)-4.3+(-5.2)(2)ஹ2121113-3X+ᓝᓝx(—24)(3)374687

7(-2)4-[(-3)2-fl-23x^^(-2)(4)LIè.(1)1(2)-6(3)-20(4)17ூCD௃s⚪ᑖ᪆H(1)ÍUíᑮî;<ᓽAïᑮðñu(2)ÍUᑭᵨÙÎÎᑣóôõᓽAïᑮðñH(3)ÍUᐜ;<Ø\<>ᑭᵨØÎᑖ÷ø;<<õÙ\<ᓽAïᑮðñ;(4)ÍUᐜ;<Ø\<>;<Ø◀\<<õÙ\<ᓽAïᑮðñ.o4(ߟ81)+—x—+(—16)s⚪D᪆H(1)49-1.5+1.4-(-3.6)-4.3+(-5.2)(2)=-0.1+3.6-4.3-5.2=3.6-(0.1+4.3+5.2)=3.6-9.6=-61113=-9x----x24x24x249468=—1—6—4—92034=16-[9+(1-6)x2]=16-[9-10]=16+18

8=17.20.:1-3x+5=2x-124x35—x
—66x=—1
52
=3xூ௃⚪ᑖ᪆$ᐜ&'()ᯠ+,⚗ᔠ/)ᓄ1ᦪ31ᓽ567Ḅ.⚪᪆$1-3X+5=2X—1-3x-2x=-l-5-5x=-66x=—.5.4X-35-X=624x-15+3x=67x=21..x=32Lᓄ:j2x2y-2xy-4xy2+xy+4x2y-3xy22~\ci~h+—3cih~
3;/=x?_3x_l,B=X2-2X+\,=$>x=-2?)22—38Ḅ@.4
AB/+6?=6,ab=-2,=CᦪD4/+3E-஻-7“2-5M+2Z?
Ḅ@.1^y-xy-lxy2-3/63-x2-5.4-3a2+8aZ>-362=-342=9ூ௃⚪ᑖ᪆$1
GDᔠ/HI⚗ᓽ56ᑮKLM2
GD&'(ᔠ/ᓽ56ᑮKL$3
NAOBCᐭGD)&'(ᔠ/6ᑮᨬ:KL)NxḄ@CᐭRSᓽ5=7@M4
GD&'(ᔠ/+)TABUDCᐭRSᓽ5=7@.⚪᪆$1-2xy-4xy2+V+4x2y-3xy29

9=(2x2y+4x))+(~2xy+xy)+(-4xy2-3xy2)=6x2y-xy-lxy2(2)-6W-^2b+2(a2b-3W)]a=-6ah2-a2b-2(a2b-3ab2)=-6ab2-a2b-2a2b+6ab2=-3a2b(3)2ZX3B=2(X2-3X-1)-3(X2-2X+1)=2x~—6x—2—3%2+6x—3=-x2-5,Y=2Cᐭ)GD=Y2-5=—4—5=—9(4)(4a2+3ab-b2)-(7a2-5ab+2b2)=4a2+3ab-b2-la2+5ab-2b2=-3a2+Sab-3b\••a2+b2=6ab=-2...GD=-3(?+2+8"=-3x6+8x(-2)=-18-16=-34a22.ABabீO,஺>0,a|c|>|b|>|a|,ᦪdea,b,cfgḄhiA,B,C.-1-------------------->0(1);|al=-a?)nᙠᦪde᪗7A,B,CḄᜧrst)/ᑨva,b,cḄᜧw;(2)ᙠ(1)Ḅᩩz{)ᓄ:|ab||b-c+|c+a|.(1)|}᪆)c

10ூ௃⚪ᑖ᪆$(1)᪷⚪ᑨv7abcḄ(ᜧw)ᙠᦪde⊤7ᔜᦪᓽ5;(2)᪷ᔜhᙠᦪdeḄst&@()ᔠ/HI⚗ᓽ5.⚪᪆$(1)CToB(2)•.•᝞ᦪdᡠ)a-h

115M(2)᪷£¤Ḅ¥¦°±ᑏ7ᓽ5.⚪᪆$(1)⊤᝞{$|জ|ঝ|ঞelx(-l)x2=-2(-3)x(-4)x(-5)=-60(-2)x(-5)x17=170ᦪḄe1+(-1)+2=2(-3)+(-4)+(-5)=-12(—2)+(—5)+17=10ᦪḄOḄᖪ(-2)+2=-1-60+(-12)=5170+10=17(2)ট5x(-8)x(-9)=3605+(-8)+(-9)=-12360+(—12)=—30..x=-30x2=-60.lx3x(-6)=-181+3+(-6)=-2rF18+(-2)=9j^=9x2=1824.᝞|)²ᵬ´ᙠ5x5Ḅ(µw¶·31)e¸Ḽº»¼½)º»Oº»Ḅ¾h3h)ᵬ´¿Aᜐ7£&ÁÂh8ஹCஹ஺ᜐḄᐸÅᵬ´);¥Æ$ᔣeᔣÈÉᙳ3Ë)ᔣ{ᔣÌÉᙳ3Í)᝞L¿Aᑮ8Î3$Ï+1,+4),¿8ᑮAÎ3$”(-1,-4),ᐸᦪ⊤ÌÈᔣ)Ðᦪ⊤e{ᔣ.(1)|Cf.(2);Ѳᵬ´¿Aᜐ7£)ÒÉÓ»ÔÕ3(+2,+2),(+2,-1),(-2,+3),(-1,-2),ᙠÖh×ؼ½)nᙠ|᪗7hÖḄst.(3);Ѳᵬ´ḄÒÉÓ»34-8fCfD,ᑣÚᵬ´ÉÛḄÓ·Ü3(4);|ÝᨵßhàஹN,a஻>MTN(5-a,b-2),ᑣNtAgÎ3.12

12cb}᪆ூ௃⚪ᑖ᪆$(1)᪷ᔣeᔣÈÉᙳ3Ë)ᔣ{ᔣÌÉᙳ3Íᑖ¯ᑏ7ᔜhḄᙶ᪗ᓽ5;(2)᪷⚪$A—M—N—QTP,᝞|1;(3)ᑖ¯᪷ᔜhḄᙶ᪗RSâ·ᓽ5M(4)ãM-AOM-NfgḄäåᙶ᪗æçᓽ567.⚪᪆$(1)|A-C(+3,+4),BߟC(+2,0),C->D(+1,-2);ᦑᫀ3(+3,+4),(+2,0),D;(2)Phst᝞|1ᡠM|1(3)᝞|2,᪷ABᩩz5B:|2A—B⊤3$(1,4),B—CÎ3(2,0)C—DÎ3(1,-2);ᑣÚᵬ´ÉÛḄÓ»·3$1+4+2+1+2=10;(4)ᵫM—A(3-a,b-4),M-»N(5-a,b-2),ᡠÏ)5-a-(3-a)=2,b-2-(b-4)=2,13

13ᡠÏ)hAᔣÈÉ2h)ᔣeÉ2hᑮhN,ᡠÏ)N—AgÎ3(-2,-2).¼ᵨìËᦪÍᦪ⊤Ḅí)îïᳮ"ᔣeᔣÈÉᙳ3Ë)ᔣ{ᔣÌÉᙳ3ÍMᦪ⊤ÌÈᔣ)Ðᦪ⊤e{ᔣ"Ñòóôiᐵö)÷øµᙶ᪗C⊤Ḅùí)¿úûᑮfgḄh.25.¼S$(+3)*(+15)=+18,(-14)*(7)=+21,(ߟ12)*(+14)=-26,(+15)*(-17)=-32M0*(-15)=(-15)*0=+15,(+13)*0=0*(+13)=+13(1)n¢îïþὃ
*Ḅᑣᦪ*.ᱯᙢ°ᦪ*ᡈᦪ°*.(2)(+11)*[0*(-12)]=.(3))ᔲ+ᙠᨵᳮᦪ஺ஹb,12஺*6=0,6+ᙠ786Ḅ96:ᨵ+ᙠ;<ᳮᵫ.(1)>?ᦪ@A?BC9DEFGHIᦪḄ9(2)23(3)a=b=QூKL௃N⚪ᑖ᪆(1)᪷SᡠUVWXYZᓽ\](2)᪷S(1)ḄYZᓽ\](3)᪷S(1)ḄYZ7L.N⚪L᪆(1)>?ᦪ@A?BC9DEFGHIᦪḄ9.(2)(+ll)*[0*(T2)]=(+11)*(+12)=23(3)ᵫ`a\b...0*0=0,.•.4=6=026.▅fghᩞᧇklᙠẆnᦪop⚪⍗ᑮsI`atGᢥv`wxḄyIᦪX1,*2,*3,L,%,|}ᦪᑡ4஽“3,L,,ᐸ}᦮ᦪN3.14

14`a"4)=kl-*2|+|%2-X3…+|x«T-x/᝞6ᦪᑡ41,2,3,4,5,ᑣ/ভ="2|+|2-3|-4|+|4-5|=4.᪷Sᩞᧇgᑡp⚪(1)bᦪᑡ43,-5,-2,7“4).(2)bᦪᑡ4*2,“55Iᦪᙳ}ᦪX[+X2+%3+%4+X5=1009,ᑏ8P(4)Ḅ9ᨬk9.(3)bᦪᑡ4᳝&,*3,ᐸ*1,*2,*3,“4,}4I᦮ᦪ=3,5=5,%(4,)=4,ᑏ8ᡠᨵ\¡Ḅᦪᑡ4¢£¤.(1)11ফ9}1009,ᨬk}°বজ¨=2,஽=3ঝ஽=4,=3ூKL௃N⚪ᑖ᪆(1)᪷S`aV(Ak)=|xªX2|+|X2-X3|+...+|XkrXk|,«ᐭᦪSᓽ\78X;(2)ᵫᦪᑡAxX,X3,X,X55Iᦪᙳ}ᦪ9ᓽ\280[%)-x|x>|x-x|x>|x-x|x>|x-x|x>02223334445s.0<|^1-X|+|x-x|+|x-x|+|x-x1¸9}1009,ᨬk}0.(3)-(4)=72,s¹+-x/15

15=|3-X|+|X-X|+|X-5|2233=4,.|3-X|<4,1x-5|<423•••X2=1,0,1,2,3,4,5,6,7]X3=1,2,3,4,5,6,7,8,9ÁÂÃ\¡Ḅ@9᝞g,জÄÅ=2,=3r(^4)=|3-2|+|2-3|+|3-5|=4ঝÄ*2=4,=3È(4)=|3_4|+|4_3|+|3_5|=4.•.জ/=2,%2=3,ঝZ=4,x=3316