广东省汕头市澄海区2021-2022学年七年级下学期期末考试数学试题（含答案解析）

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6Óὃ"ᫀ&1.Bூᑖ᪆௃ØᳮᦪÙÁØ▲Û~Üᦪ.ᳮ!ØᳮᦪḄᭆÞß⌕à»ᳮ!ᨵᳮᦪḄᭆÞᨵᳮᦪÁ᦮ᦪÎᑖᦪḄá.ᓽᨵ▲ÜᦪØ▲Û~ÜᦪÁᨵᳮᦪãØ▲Û~ÜᦪÁØᳮᦪ.ᵫ¼ᓽåᑨß⌱è⚗.ூê!௃!&ë=4,2?.•.ᙠíᦪ:3.14159,ï1.010010001...,ᐔe,Øᳮᦪᨵ1.010010001...,ᐔᐳ2.ᦑ⌱&B.ூcò௃8⚪ó⌕ὃØᳮᦪḄßôõöØᳮᦪḄßôÁ!⚪ḄᐵøᐸeùeûᑁüýḄØᳮᦪᨵ&ᐔ2ᐔ'EþrþÿḄᦪ0.1010010001...,ᨵ᪵Ḅᦪ.2.Cூᑖ᪆௃᪷ᔣᙶ᪗ᔣᙶ᪗ᑡ!"ᓽ$%&.ூ'&௃•••)P(-3,4)ᔣ4*ᓫ,-./ᔣ3*ᓫ,-.0-3+4=1,4-3=1,.••)P'Ḅᙶ᪗1(1,1).ᦑ⌱C.ூ)4௃5⚪ὃ89ᙶ᪗:;<=ᓄ-@)Ḅ=ᓄABᙶ᪗Cᙶ᪗D.3.Dூᑖ᪆௃ᑭᵨG᪵H8Ḅᱯ)BজK⊤ឋঝᐰ☢ឋᓽ$QRᑨT.ூ'&௃&BA.⌕9&V᪥1000XY@ZḄ[᜜]^_`H8ᐰa᝕Zcdeᱏ☢gᔠᳮgjᔠ⚪kB.⌕9&V᪥1000XY@ZḄ[᜜]^_`H8ᐰaᵱZcdeᱏ☢gᔠᳮgjᔠ⚪kC.⌕9&V᪥1000XY@ZḄ[᜜]^_`H8mnoᐰapZcdeᱏ☢gᔠᳮgjᔠ⚪kD.⌕9&V᪥1000XY@ZḄ[᜜]^_`H8qஹsஹmnoᔜ100XpZᐹK⊤ឋvwᔠᳮjᔠ⚪k.ᦑ⌱BD.ூ)4௃5⚪ὃ89H8ᱯ)ᐵyAᙠ⌱{᪵5|⌱{Ḅ᪵5⌕ᐰ☢ᐹᨵK⊤ឋ.}ᫀ1⚓ᐳ14⚓

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9ூ)4௃5⚪ὃ8ḄAZñ@Ḅò¼᪷;<%RᙢïḄ-¢å▤Ḅ-é%RA&}·⚪Ḅᐵy.10.Bூᑖ᪆௃᪷ÆᑖØḄឋóÆ<ḄᑁÆÉᓽ$%ᑮ}ᫀ.ூ'&௃&BᑖND48,CP(ᑖNDCB,ZDAP=NPAB,ZDCP=NPCB,•,ZD+ZDAP=NP+ZDCPZPAB+ZP=NPCB+NB,Z£>+ZDAP+ZPCB+NB=NP+ZDCP+NPAB+NP,:.ND+NB=2NP,NP=g(ND+NB).ᦑ⌱BB.ூ)4௃5⚪ὃ89ÆᑖØḄឋóÆ<ᑁÆÉḄḄôᵨóÆ<ᑁÆÉ1180஺.᪷óÆ<ᑁÆÉᑡRA&⚪ᐵy.11.5ூ'&௃஺Ḅd᪷AöB,JḄ"÷d᪷A5.24242ᦑ}ᫀ1Bூ)4௃·⚪ὃ89"÷d᪷Ḅᭆù&⚪ḄᐵyA£¤d᪷É"÷d᪷Ḅᭆù.12.(3,0)ூᑖ᪆௃᪷xúDḄ)Ḅᙶ᪗ᱯû$%“-1=0,&d¹ÌRaḄ»ᓽ$Ì%)¿Ḅᙶ᪗.ூ'&௃&Bᵫ⚪k%B«-1=0&%Ba=\ᑣ2a+l=3.••)Pᙶ᪗1(3,0)ᦑ}ᫀ1B(3,0).ூ)4௃5⚪ὃ89ᙶ᪗úDḄ)Ḅᙶ᪗ᱯû§þxúDḄ)Ḅᙶ᪗10,yúDḄ)Ḅᙶ᪗1஺A&⚪Ḅᐵy.13.7ᡈ11ூᑖ᪆௃ᐜᑖÿ
a,bḄᯠ
ᓽூ௃|a|=2a=2ᡈ஺=-2yfb=3ᫀ4⚓ᐳ14⚓

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yḄᓽ&⊤LḄᦪqx)Ḅᐭ]RST
“1”⊤LḄᦪᓽ.ூ௃'x=5ᐭlr+j=12D'y=2,x=5,)=2ᐭD'x-2y=5-4=1,ᑣ⊤LḄᦪᑖ&1,2.ᦑᫀ&'1,2.ூ()௃⚪ὃ-\1ᐗ]2RSḄRSRSḄ:CḄᦪḄᓽcRSḄ.⚪Ḅᐵdc⌕⍝:RSḄᐵ.17.(4,g)ᡈ(T,g)ூᑖ᪆௃᪷Hj(ᐵD£…¥¦
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ᑮᐵQ¸ḄC4c⚪Ḅᐵd.[x=\t18.¹ூᑖ᪆௃᪷H¸º»ᐗ¼1ᐗ]2RSᓽT.[y=o(5x+2y=5জூ௃'¿…Lঝজx2+ঝD'13x=13,D'x=l,x=lᐭজD'ᫀ6⚓ᐳ14⚓

125+2Ã=5,D'y=o,,fx=l...ÅRSḄ&'\.n[y=0ூ()௃*⚪ὃ-\1ᐗ]2RSÆÇ1ᐗ]2RSḄR¼c⚪Ḅᐵd.19.-^<%<3,᦮ᦪ&0,1,2,3.ூᑖ᪆௃ᐜT
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13Fூ()௃*⚪Þ⌕ὃ-\krᑖtḄÑÒrstḄឋo0ᑨÑᮣá⌱ãÑᳮc⚪Ḅᐵd.21.(1)200,45%,15%(2)⊡¶Ð᪆(3)2000æூᑖ᪆௃(1)ᵫBḄᦪç◀_BᡠᓰḄëᑖìDíᦪçqᑖT
î”Ḅᓽ(2)ᑖᵨ200ï_ᐸᡠᓰëᑖì
Cஹ஺Ḅᦪçq⊡ᐰᩩlóô¶ᓽ(3)ᵨ8000ï_Cஹ஺ᡠᓰḄìᑖëᓽ.(1)90ᵫ⚪7D'60-30%=200,w=-xl00%=45%,=1-45%-30%-10%=15%/7ᡠ_*2ö÷-Ḅᵯùúûᐳᨵ200æ¸=45%,"=15%.ᦑᫀ&'20045%15%(2)⚪7D'CḄᦪç&'15%x200=30,஺Ḅᦪç&'10%x200=20,⊡ᐰḄᩩlóô¶᝞ý¶ᡠL'ᫀ8⚓ᐳ14⚓

14ᵯឋ!ᩩ#$%&ᦪ(&)(3)8000x(15%+10%)=2000(æ).'þôÿᑮCஹ஺Ḅᐳᨵ2000.ூ௃⚪ὃḄᩩᑮ!⌕Ḅ#$%&'⚪Ḅᐵ).ᩩ*+,ᙢ⊤/012⚗4Ḅᦪ6.22.(1);%᪆(2)8ூᑖ᪆௃(1)᪷6@☢BCᙶ᪗FG0Ḅᙶ᪗H(2)᪷6SJK488=S-./EFGH0SMEB—SdBFC0S&CGD~^^DHASJKABCT)=SQRPQA/N+5.ᓽ+S&BCQ+^CDM+^ADNV☢WᓽXV%.(1)%Y᝞ᡠ/Y4ஹBஹC.஺\ᡠGḄ.(2)R]^Y᝞ᡠ/_`RE/P”YᑣᨵSfKASS=S-./EFGH-^EB-^SBFC-,^ACGD-SbDHA=5x3——x2x2——xlx3——x2x2——xlx32222=8pᫀr9⚓ᐳ14⚓

15R]uY᝞ᡠ/vJKABCDᑖᒘ\ABCQஹKMDஹANDxQRPQMN,ᑣᨵSJKABCO=SQRᱥgm+S+S"BCQ+SACO.”+^AADNMBP=1+—x2x2+—xlx3+—x2x2+—xlx32222ூ௃⚪ὃ|ᙶ᪗}ᦪ~ᔠ%⚪Ḅᐵ).23.(1)\8ᔴḄᓱᨵ5\12ᔴḄᓱᨵ7(2)ᐳᨵ3RᫀYজ\8ᔴḄᓱ12ᔴḄᓱ6Hঝ\8ᔴḄᓱ112ᔴḄᓱ5Hঞ\8ᔴḄᓱ212ᔴḄᓱ4ூᑖ᪆௃(1)ᨵ\8ᔴx12ᔴḄᓱᑖᨵxஹ)᪷6⚪ᑡ0R%RV%ᓽXH(2)\8ᔴḄᓱ|“᪷6⚪ᑡ0^ᐗ^%ᯠᑖ¡¢ᓽXV%.(1)%Yᨵ\8ᔴx12ᔴḄᓱᑖᨵxஹyfx+y=12᪷6⚪Y8[8x+12y=124x=5%:y=7pᫀr10⚓ᐳ14⚓

16pY\8ᔴḄᓱᨵ5\12ᔴḄᓱᨵ7.(2)\8ᔴḄᓱ|§¨⚪Y8(5+§)+12(7+6-஻஺>184,%Ym<3,••20¬\᦮ᦪ/.m=Q1,2Hf6—=6,5,4.111ᐳᨵ3RᫀYজ\8ᔴḄᓱ12ᔴḄᓱ6Hঝ\8ᔴḄᓱ112ᔴḄᓱ5Hঞᦟ\8ᔴḄᓱ212ᔴḄᓱ4.ூ௃⚪ὃ|uᐗ^RḄ¯ᵨ^ᐗ^Ḅ¯ᵨ᪷6⚪ᑡ0R}%⚪Ḅᐵ).24.(1)±²;%᪆ফ/EBO=30஺(3)NBOC=45°ூᑖ᪆௃(1)±²/C+/B=180஺ᓽXH(2)±²NEB·NABCᓽXᑮ~¢H(3);

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