2022-2023学年北京某属实验中学七年级（上）期中数学试卷（含解析）

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2022-2023
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13ூᑖ᪆௃ᐜáᑭᵨáᑖê±ñòáde◀deᨬae[Ü.:-32-(W)X6+(-2)♦8=-9-(&X6ᔁX6)+(-8)+8=-9-(-4+3)-1=-9+1-1=-9.ூ=>௃?⚪ὃDᨵᳮᦪḄæᔠoeGõö÷Lᐵoeᑣᢥ᯿oeøpde⚪ḄᐵQ.ùrúᵨoe±ûeḄ⌕ñòûe.åஹ1⚪(?⚪ᐳ6⍝Ú⚪23ஹ24ஹ27Û⚪6ᑖ25⚪4ᑖ26⚪5ᑖ28⚪7ᑖ,ᐳ34ᑖ)23.ᐜᓄûâjP:SHx=J,y=-6,j3x2y-[6xy2-2(xy+yx2y)]+2(3xy?-xy)ḄP.ூᑖ᪆௃ᐜýþãᯠa᪷"᦮iḄ[Üdeᑣᓄûᨬa*Pdeᓽ0.:3x2y-[6xy2-2(xy+|-x2y)]+2(3xy2-xy)=3/,-(6xy2_2xy-3x2y)+6xy2-2xy=3x2y-6xy2+2x)!+3x2y+6x>'2-2xyx.y=-6=6X()2X(-6)=6X—X(-6)9=-4.ூ௃⚪⌕ὃ᦮Ḅᓄ!"#$᦮Ḅ%&'()ᑣ+,⚪Ḅᐵ..24.ᨵᳮᦪmh,cᙠᦪ56Ḅ78᝞:ᡠ<(1)ᑨ?@Aᵨ“ு”ᡈGHIa+b<0,a-c<0.(2)ᓄI\b-c\-\a\+\b+c-a\.ூᑖ᪆௃(1)᪷Pᨵᳮᦪa,b,cᙠᦪ56Ḅ78RSTUḄVWஹYZ"[\Ḅᜧ

14^ᓽ`abcdஹ!,e(2)Pᨵᳮᦪa,b,Cᙠᦪ56Ḅ78ᓄᔜYZ"hab%&i(.,I(1)ᵫ⚪klaভ>ᡂ,.,.b-c<0,b+c-a>0,\b-c|-\a\+\b+c-a\=-(b-c)-(-a)+(b+c-a)=-b+c+a+b+c-a=2c.ூ௃⚪ὃᑭᵨᦪ5abzᦪḄᜧ^cd{YZ"Ḅᓄ|}ᐵ.+|~Rᳮ,iᵨ6$.25.ᜩ6ᓤ^ᓫtᙠᓭᓅᔣḄ6i⃩.᝞Sᔣᓅt@ᔣᓭtAᜩ6ᓤb(ᓫ7Iᓟ)᝞I+5ஹ-4ஹ+3ஹ+13ஹ-8ஹ-6ஹ+11ஹ-13ஹ+2ஹ-5ஹ+15ஹ-7.£rᑡ¥⚪I(1)¦ᨬ¨©ᢇ«¬〈ᑮ¯Ḅᙢ^±ᓫḄ²³t6ᓟ,ᙠᓫḄ@ᓅ.(2)´µᙳ·ᓟὑ¹Ḅºᵨt0.6ᐗᑣᜩ6ᓤὑ¹ºᵨᐳ½¾ᐗ¿ூᑖ᪆௃(1)ÀᡠᨵbÁÂÃ%ᯠ¨᪷P{Ḅ@AÅÆRSᨬ¨Ḅ78e(2)!ᡠᨵbÁÂḄYZ"Ḅ{h«0.5ᓽ`.,I5-4+3+13-8-6+11-13+2-5+15-7=6(ᓟ),^±ᓫḄ²³t6ᓟᙠÇÈÉÊḄ@ᓅᔣᦑrᫀtI6,@ᓅe(2)|5|+|-4|+|3|+|13|+|-8|+|-6|+|11|+|-13|+|2|+|-5|+|15|+|-7|=92(ᓟ)92X0.6=55.2(ᐗ)ᜩ6ᓤὑ¹ºᵨt55.2ᐗ.ூ௃Ì⚪ὃ@ᦪ{Aᦪ[ᨵᳮᦪi(ḄÍᵨÎÏ⚪k+,⚪Ḅᐵ..26.ᙠ☢Ḅ⊤ÒÓÔxÖ×nᦪ"Øᦪ-2x+3±MX+”ᑖÚᡠlḄ"Û᝞x=-l-2x+3=-2X(-1)+3=5.

15X•-2-1012…-2r+3.•a53b-1nvc+n•1_32_53•~2~2(1)᪷P⊤ÓßàáᑏIa,b,m஻Ḅ".a=7,b=1,m—0.5,nf=2(2)fwc\+n=y\5x=X2஻a2+஻=ä2,myi+y2=2022,!x1+x2Ḅ".ூᑖ᪆௃(1)᪷P⚪¯ᡠÔÉ{ᦪPab!,ᓽ`e(2)᪷På+)஺=2022`l"¿(xi+%2)+2஻=2022,h᪷P(1)ᡠ!m=0.5,஻=2,lᑮa(xi+x)+4=2022,'(ᓽ`.2,I(1)ᵫ⚪kl஺=-2X(-2)+3=7,b=~2X1+3=1e.•x=0-ØᦪḄ+஻Ḅ"t2,.ç஻=2,ç•x=2Øᦪè+஻Ḅ"t3,/.2/71+2=3,,•%=0.5ᦑrᫀtI7e1e0.5e2e(2)ç•é=tx=X2%ê2+஻=>2,må+ä2=2022,fwc\+n+nvc2+n=2022,:.m(xi+%2)+2஻=2022,;m=0.5,n=2,•••y(X+X)+4=2022.12/.XI+X2=4036.ூ௃⚪⌕ὃØᦪ!"@Rᳮ,⚪k+,⚪Ḅᐵ..27.ᡃUS©ìií^=d-cb,᝞23=2X5-3X4=-2,h᝞-1=-4x+2.ᢥaIcd4512-4᯿ìi(S,rᑡᔜ⚪I(1)'(-3.=_.745------2-2xফ´=2,!xḄ"e3-5x

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17ூᑖ᪆௃(1)᪷ᦪḄឋAᨬRḄS᦮ᦪL1ᓽw(2)জᑭᵨ6gfh⊤I?6g"Au"B⊤IḄᦪ᪷stcvᑡ?-.ᓽwঝজ⊤I?ᔜᦪw?G"c⍗a⊤IḄᦪᓽ.:(1)(a+10)2+\b-6|=0,.“+10=0,b-6=0,a--10,b=6,•c:ᨬRḄS᦮ᦪ/.c=1,ᦑWᫀL[-10,6,1(2)A"ḄfhLij3kᓫmnh8"ḄfhLij2kᓫmnh6gḄaoLfj.•.6g"Au"B⊤IḄᦪᑖKL-10+3/A6-2t.জ"Aᑮ"CḄstL|-10+3L1|,"Bᑮ"CḄstL|6-2t-1|,᪷⚪I-10+3/-1|=|6-2t-1|,ᡈ=6;5ঝqA"6gᑮ"Dª«a-10+3f=6-2t,,t=*5aG"⊤IḄᦪL-10+3X¬=55q4"6gᑮ"஺atF¯"=&a8"6gᑮ6-2f=6-8=-2,"Au"8⊤IḄᦪᑖKL2-3(f-4)A-2-2(f-4),ᵫ2-3(Z-4)=-2-2(/-4),f=8aG"⊤IḄᦪL2-3(8-4)=-109µFᡠ·A,BG"`aᑮḄ"ᙠᦪEFḄᦪ:-10ᡈ4.5ூ"#௃%⚪ὃ)¸*ᐗ*,-.ḄᵨᦪEu¹_ºᦪE»ᦪA"¼ᩭ,½:»“ᦪ”A“¿”Àᔠ¼ᩭÁὅÃc⊡ᐙcÆcᡂ»ÇÈÉᩖḄZ⚪ËᓄLÍᓫḄZ⚪ᙠÎÏ⌕ÐÑÒᦪ¿ÀᔠḄᦪÎÓÔ.ÕஹW⚪(%ᜧ⚪ᐳ3kR⚪Ø29⚪5ᑖØ30⚪7ᑖØ31⚪8ᑖᐳ20ᑖ)

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19(4)1234*+ᑖ.56JK1ᑖᕜNO1P&NOYZ[\]^YḄᓽ☢<_L..•.-.஻ᑖᑮḄᕜ74aX2”=2"+2"☢<7ᶭ.ᦑdᫀ2"2a&a2.ூrs௃!⚪ὃvwxyzḄLᓄ{|⌕~Ḅ12ᭆ12X/ḄᕜḄNO1P7G⚪Ḅᐵ⚪ᨵ.30.᝞5ḄG^”᦮ᦪᑣGᜧḄ55Ḅ“k—/5”.᝞5x-3=075x-1=0Ḅ“2—/5”.(1)¢52x+3=0752x+5=0Ḅ/5"ᑣa=1&(2)¢ᐵ¤xḄ54x+/n+஻=07ᐵ¤xḄ54x+஻=0Ḅ“2—/5”F§ᦪCOḄ¨&(3)©Z᝞5"+6=175or+c-1=0Ḅ“3—/5”F§ᦪC6a+2b-2(c+3)Ḅ¨.ூᑖ᪆௃(1)ᑖ®FX5ḄGᓽEᑮdᫀ&(2)ᑖ®FX5ḄG¯᪷A“2/5”Ḅ°FXmḄ¨ᓽEᑮdᫀ;(3)ᑖ®FX5ḄG¯᪷A“2/5”Ḅ°FX3a+6-c=0,ᯠ/³3a+b-c=0᦮´§ᐭᡠF§ᦪCFGᓽE.G(1),.-2x+3=0,3,.*2x+5=0,552x+3=0752x+5=0Ḅ“1—/5”.".a—1,ᦑdᫀ1;(2)V4x+/n+/i=0,m+n'/4x+n=0,

20nxyᐵ¤xḄ54x+஻?+஻=07ᐵ¤xḄ54x+஻=0Ḅ“2—/5”m-hi/nx••»(¼)=r2/./n=-8,/./n2+|/w+11=(-8)2+1-8+11=64+7=71&(3)\*ax+h=l,._l-b••x=-----'aVax+c-1=0,■be•"x=-----'a•5¾x+b=l75
+c-1=0Ḅ“3—/5”1-b1-c__••-------=o>aa/.I-b-\+c=3a,3a+h-c=0,:.6a+2b-2(c+3)=6a+2b-2c-6=2(3a+b-c)-6=-6.ூrs௃⚪|⌕ὃvwGᐗ5§ᦪCF¨ÀᳮG⚪ÂᡠÃḄ“/5”Ḅ°7G⚪Ḅᐵ.31.¢ÄᦪḄᓝÄÄ*ḄᦪÆᑖ®xy,ᡃÈEÉÄᦪÊ☢.Yᳮ,ËÄᦪḄÌÄஹᓝÄÄ*ḄᦪÆᑖ®“ᓃc.ᑣÉËÄᦪEÊÏ.(1)¢x=3,ᑣÐÑ=56&¢f=2,ᑣ-246(2)£+ⅉÓ11᦮◀,Ð-ÕÓ9᦮◀.(Ö×ᜧ¤3Ḅ᦮ᦪ6⌱Ùᔠ〉ḄᦪÜÝ)(3)Þ⌱ËÄᦪ⌕FஹᓝஹÌÄḄᦪÆᔜ_^Yà_á³ÉËÄᦪḄË

21ᦪÆᢥᜧ(ã᣸ᑡXᨬᜧḄᦪᨬḄᦪᵨXḄᨬᜧḄᦪ\èᨬḄᦪᑮãᦪ¯Éãᦪᢥ*+C(ã᣸ᑡ¯^\éÉ᪵ëì¢í/îᑮY()XIḄᦪÉᦪ“ᓱðñᓱòóôᦪ”.জ“ᓱðñᓱòóôᦪ”7495.ঝ¢aËÄᦪ÷(_øaa>6>c>0),ùúûᐸEý“ᓱðñᓱòóôᦪ”.ூᑖ᪆௃(1)ᢥ᯿ᡠðKFGᓽE(2)ᢥ°Eab+ba=ll(a+b)ab-ba=9(a-b)A!FGᓽE&(3)জ⌱ÿ
ᦪᢥ᯿ᓄᑮᓽঝᢥᓄᩩ஻>6>c,Ḅᵨᓄᑮᦪ495ᓽ.#$(1)ᵫ⚪()+,=23+33=56,t83-5t9=283-529=-24e-ᦑ.ᫀ0$56-246(2)ab+ba=10a+b+lOb+a=lla+llb=ll(a+b),2"ஹ஺0᦮ᦪAllCa+b)78᦮ᦪ.•.11(a+b)9:11᦮◀ᓽ)<9:11᦮◀,**ab-ba=10a+b~(10b+a)=9a-9b=9(a-b),2“ஹ஻0᦮ᦪA9(a-b)78᦮ᦪ.♦.9(a-b)9:9᦮◀ᓽ)>9:9᦮◀ᦑ.ᫀ0$119(3)জ@⌱Ḅᦪ0325,BIC532-235=297,DEᢥ᯿FGHᑣḄឋKLM$972-279=693,963-369=594,954-459=495,954-459=495…•••“ᓱPQᓱRSTᦪ”8495.ᦑ.ᫀ0$495ঝVW⌱ḄXYᦪ0Z[\]^M_($lOOa+lOHc-(lOOc+lO/a)=99(a-c),`a099Ḅbᦪ\*a>b>c,.•.aNb+l2c+2,-cN2,c,92஻>c>0,

22*.a-c<9,.\a-c=2,3,4,5,6,7,8,\]^M_9(ᑮ$198,297,396,496,594,693,792,defgᦪhij^MᑖlD(ᑮ$981-189=792,972-279=693,964-469=495,963-369=594,954-459=495,954-459=495,...D(ᑮ“ᓱPQᓱRSTᦪ”8495.ூno௃Z⚪q⌕ὃtu᦮ḄvwLMᨵᳮᦪvwLMz{ᳮ#⚪8#⚪Ḅᐵ}.