小升初2022-2023学年北师大版数学升学分班考专项模拟试卷（比的运用）含解析

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ᓣ௃2022-2023ᓅᜧ᱐ᦪᓣᑖὃ⚗ᔁḄᵨஹ⌱⚪1.ᑡ┯Ḅ஺A.Ḅ᡽ᜧᩭḄ4"☢$%᡽ᜧᩭḄ4"஺B.'()ᨵ200-./ᐸ1᝕/ᨵ120-ᵱ/4᝕/Ḅ5ᦪḄ7593஺C.<=>?>@ᔣᓅCD50஺Eᔣ=FG1200ᓟI,KLMN⌕ᔣᓭCQ50஺EᔣᓃF1200ᓟI஺32.ᵬᙊUVWᙊUVḄXᵬWYᙊḄ☢$7)oA.394B.493C.9916D.16993.ᵬWY]ᦪ7395,Wᦪ7ᵬᦪ^20,ᵬᦪ)oA.10B.20C.30D.504.3I950ᔖIḄ7`஺350A.50B.60C.6D.35.abaஹbᙳf0,ga+b=1.8,akbl7,A.a>bB.a=bC.a

1ஹ⚪9.18:24Ḅᨬ᦮ᦪ7,7`»10.Y]EḄ7392,vY]EḄ$7஺11.'()ᔠᖛḄᵱ/ᨵ75᝕/ᨵ135஺᝕/5ᦪk5ᦪḄ7஺12.149=30=0.7=7+=%o13.EḄk48cm,ஹஹḄ739291,v]EḄ⊤☢$cm?஺14.FKᵬ◤⌕¡NW◤⌕@¡NᵬW£uḄᨬ᦮ᦪ7஺“9C25Ax—=B---15.᝞z56A,Bᙳ0,|}A,8ᡂ7©A9B=ᨬ᦮ᦪ7஺16.ᵬஹWY5ªᨵ«¬᝞zᵬḄ«¬ᦪ®25%,WḄ«¬ᦪ¯°20%,ᑣ²NY5Ḅ«¬ᦪlrᩭᵬஹWY5«¬ᦪḄ79஺ஹ³´⚪17.ᵬஹWYµᐳᨵ1055᝞zY]µᔜ¸¹3-./|}ᵬஹWYµḄ5ᦪ7495,Y]µᩭᔜᨵ^°5º18.ᙽ¼ᙢḄ☢$ᨵ60¾⚕ᐸ1ÀÁÂÃḄ☢$ᓰ*,ᒕḄ☢$ᢥ594ÀÁQÈÉkÊËvÀ̼ḄÀÁ☢$ᔜ^°¾⚕º19..᪥Îᩭ400Ïᦪ.▅ÑÒÓᐸ1Ḅ10%ᑖÕὁ×ØÙḄᢥ69594ᑖÕGÚஹÛஹ'()'()ᑖᑮG^°Ïᦪ.▅ÑÒº2⚓/16⚓

220.ÝÞᨵᢇàᱥâ¹Ḅàᱥ4ᒕḄàᱥãä727,᝞zåâ¹64ᔴ|}ᒕḄàᱥçᨵÝÞᨵàᱥḄ60%஺ÝÞᨵàᱥ^°ᔴº21.ᨵÀ▨é᝞êëUìᑖᙊíUìᑖᙊ┵஺ïðñòóᙊíḄ$4ᙊ┵Ḅ$741N▨éô¸õåöå÷஺abᙊ┵Ḅ☢V4ᔖI1.5ᔖI஺øùúúv]▨éḄ$^°Nûüý▨é¸õåöå÷ºþÿ3.1422.
Ḅᵨஹᩈᢥ᯿2315Ḅᡂ᝞ᑴᵨḄᩈᐳ35ᓟᑣ◤⌕#$ᓟ%23.&᪥()✂ᨵᦑ-)ஹ.ᢈ)012ᐳ12003ᐸᦑ-)Ḅᦪ6ᓰ60%,.ᢈ)012Ḅᦪ68923,()✂ᨵ#$3012%24.:;<=>?>@ḄAᙇᵨ12000ḄC2ᙠ(E஺AᙇḄGᩩ=>IḄJ▭LMḄ923,NOJ▭LM89300P஺Q=>?>@Aᙇᙠ(EḄ☢S9#$TUᔖP%WஹᓄYZ[25.ᓄY஺^3⚓/a16⚓

3135313e58eo,250.45e0.2625TUᔖP:nTUᑖP^4⚓/a16⚓

4pᫀe1.Bூᑖ᪆௃A.?>@☢S=xஹy+2,᪷|SḄ}ᓄ~x}y᡽ᜧᩭḄ☢S᡽ᜧᩭḄ஺B.aᦪ;᝕ᦪ=ᵱᦪ᪷|Ḅᑏᵱ᝕ᦪᓄᓽ஺C.᪷|UᔣḄឋᓅᓭ>M}¡ᑖ᪆஺ூ¢£௃A.?>@Ḅx}y᡽ᜧᩭḄ4☢S᡽ᜧᩭḄ4¤¥¦§஺B.(200-120)e120=80e120=2e3,«¬ᨵ200®&ᐸ᝕ᨵ120®ᵱ¯᝕ḄᦪḄ2e3,⌱⚗¤¥┯³஺C.;´µ¶·¶¸ᔣᓅ50Uᔣµ¡¹1200ᓟPº»¼⌕ᔣᓭ50஺Uᔣµ¡1200ᓟP¤¥¦§஺ᦑBᐵ¾9¿À?>@☢SÁÂᳮ£ḄÄUᔣÅᔠÇᩭÈÉÊË⌕Ì?<⌕Íe;9ÎÏÐÑ9Uᔣ?9஺2.C3ூᑖ᪆௃᪷|“ᵬᙊÕÖ9×ᙊÕÖḄØᵬᙊÕÖ:×ᙊÕÖ=3e4,Ù᪷|ᙊḄ☢S9ÕÖḄTU£pᓽ஺ூ¢£௃ᵬᙊÕÖ:×ᙊÕÖ=3e4,ᑣᵬ×GᙊḄ☢S99e16஺ᦑC£p3⚪ᐜ᪷|ᵬ×GᙊḄÕÖᐵÝᑏÕÖ8ÞḄÙ᪷|ÕÖ8ÞḄ§ß☢S஺3.Cூᑖ᪆௃᪷|⚪Ø×ᦪᵬᦪ#2à¦á920,ᵨ20+2ᓽZ;à9#$ÙâᵬᦪãḄàᦪᓽ஺ூ¢£௃20+(5-3)x3=20+2x3=30ᦑCᐜZ;à9#$9£p3⚪Ḅᐵ¾஺pᫀ^1⚓ᐳ11⚓

54.Cூᑖ᪆௃ᵨḄå⚗◀çḄè⚗ᓽZ[஺ூ¢£௃3Pe50ᔖP3P=300ᔖP300-50=6ᦑC᪷|Z[ḄU¥¡£pÌᓫÊ®ᦪḄ;.5.Aூᑖ᪆௃᪷|a¯bḄᐵÝZaஹbḄìZaஹbḄᜧíᐵÝ஺ூ¢£௃îØaஹbᙳ>0,ña+b=1.8,ᡠçaeb=1.8e1=18e10=9e5ᡠça>boᦑA3⚪ὃô¹ᮣö÷ᵨᡠöØø£ùQ⚪Ḅúû஺3⚪ᐵ¾ᑭᵨḄឋýþ⚪஺6.Cூᑖ᪆௃᪷|?>@ᑁ
ᳮῪḄᱯḄᑁ
180஺ᙳᑖ33ᡂ(3+1+1)ᐸ⚔ᓰᑁ
Ḅ3+1+1,᪷%ᑖᦪ'(Ḅ)*ᵨ180஺'3+1+1,,-.⚔Ḅ/ᦪ஺3ூ12௃180°X3+1+13=180°x5=108°ᦑC:⚪ὃ=Ḅ>?@Aᑁ
ᳮஹῪḄᱯஹᢥDEᑖFG⚪஺HI⚔3ᓰᑁ
ḄJK-2⚪ḄᐵM஺7.Cூᑖ᪆௃ᵫRᵬᦪDTᦪU20%,ᓽᵬᦪYZRTᦪḄ1+20%=120%,[\]Tᦪ^10,ᓽᵬᦪA10xl20%=12,᪷%DḄ)*ᓽ[`aᵬᦪ:Tᦪ=12A10,c᪷%DḄdeឋgᓄiᓽ[஺jᫀl2⚓ᐳ11⚓

6ூ12௃Ꮇ]Tᦪ-10஺ᵬᦪA10x(1+20%)=10x120%=12ᵬᦪ:Tᦪ=12:10=(12+2)A(10-2)=6A5ᦑCe⚪r⌕ὃ=DtᦪUuᑖvwḄᦪ-UxᵨᦪX(1+uᑖvw)஺8.Bூᑖ᪆௃᪷%DḄ)*[>ḄᑁḄᦪᑖ{-123ᓽtᐳ-1+2+3=6ᵫRᑁ
-180஺᪷%|}A~ᦪ+~ᦪ=1c'ᨬᜧḄᦪᓽ[`aᨬᜧḄ/ᦪ%:ᓽ[ᑨa-஺ூ12௃180஺+(1+2+3)=180°-6=30°30°X3=90°ᡠ\-t஺ᦑBe⚪r⌕ὃ=DḄᵨ|}A~ᦪ+~ᦪ=1-2⚪ḄᐵM஺39.3A40.75##4ூᑖ᪆௃DḄ⚗
⚗◀\6,ᐜ`aᨬi᦮ᦪDcᨬi᦮ᦪDḄ⚗◀\⚗`aD஺ூ12௃18A24=(18+6)A(24+6)=3A433+4=0.75=43ᡠ\18A24Ḅᨬi᦮ᦪD-3A4,D-0.75,ᓽe⚪ὃ=DḄᓄi
`DḄᓄi-ᨬi᦮ᦪD`DᵨDḄ⚗◀\⚗஺10.27A8jᫀl3⚓ᐳ11⚓

7ூᑖ᪆௃¡¢£Ḅ¤¥D-3:2,ᑣ¡¢£Ḅ¤¥ᑖ{§¨3
2஺᪷%¡¢£Ḅ£©|}(¡¢Ḅ£©=¤¥x¤¥x¤¥)`aªḄ£©«¬`a£©vD஺ூ12௃(3x3x3):(2x2x2)=27A8ᡠ\¡¢£Ḅ£©D-27A8஺:⚪r⌕ὃ=¡¢££©|}
DḄ)*Ḅᮣ®¯ᵨ஺11.13A20ூᑖ᪆௃°>ᵱ²
᝕²Ḅ´ᦪᐜ`a~´ᦪcᵨ᝕²´ᦪDµ~´ᦪᓽ[஺ூ12௃13A(7+13)=13A20e⚪ὃ=DḄ)*ᐵM-ᐜ`a~´ᦪ஺12.20A21¶10¶70ூᑖ᪆௃ᐜ·ᦪᓄᡂᑖᦪ᪷%ᑖᦪ¸◀(
DḄᐵ¹\ªºᵨḄdeឋg«»¼½·ᦪᓄuᑖᦪ·ᦪ@ᔣ¿ÀÁÂõuᑖÄᓽ[஺77ூ12௃0.7=10,14+7x10=20¶30-10x7=21¶10=7-10¶0.7=70%ᑖᦪḄᑖÅYZRÆ◀ᦪஹDḄ⚗ᑖÇYZR◀ᦪஹDḄ⚗஺13.88ூᑖ᪆௃¥¢£Ḅ¤¥~
=(¥+È+É)x4,°>¤¥~

¥ஹÈஹÉḄDᵨ¤¥~
◀\4`a¥ஹÈஹÉḄ
¶Ê>¥ஹÈஹÉḄD-3A2A1,᪷%ᢥDEᑖFḄ¢(`a¥ஹÈஹÉc᪷%¥¢£Ḅ⊤☢©|}AS=(ab+ah+bh)x2,ᦪ%Ñᐭ|}«»2j஺ூ12௃48-4=12(cm)3312x3+2+1=12x6=6(cm)2212x3+2+1=12x6=4(cm)1_12x3+2+1=12x6=2(cm)(6X4+6X2+4X2)X2=(24+12+8)x2=44x2jᫀl4⚓ᐳ11⚓

8=88(cm2):⚪r⌕ὃ=¥¢£Ḅ⊤☢©ḄÖ×✌ᐜ᪷%ᢥDEᑖFḄ¢(`a¥ஹÈஹÉcᦪ%Ñᐭ⊤☢©|}2jᓽ[஺14.5A8ூᑖ᪆௃tÙÚḄ¥/§¨“1”,᪷%ÚÝ+Þ=ß/ᑖ{`aᵬஹTḄß/ᑏaáḄDcᓄiᓽ[஺]_Jூ12௃ä1+Mæ:ä1^8æ=5A82j:⚪ᵨᑮḄ>?@Aä1æDḄ)*¶ä2æÚÝஹÞ
ß/ὅvÞḄᐵ¹஺15.¡2A15ூᑖ᪆௃᪷%DEḄdeឋgA᜜⚗©Rᑁ⚗©ᑏᡂDE}cᓄi¶ᑨYᐵὶḄvÞᡂDE,§-áḄDtì-áḄ'©t᝞-Dt,ᡂ¡DE᝞-'©tᑣᡂîDE஺925AX—=B+—ூ12௃ï56äA,Bᙳñ^0æ[òA9^6Ax—=Bx—52569AAB=25A5=2:152AAB=15ätæᦑA
Bᡂ¡DE஺DEḄdeឋg\ᓄiDḄ¢(
ô?ᡂ¡ஹîDEḄḄ¢(-2⚪ḄᐵM஺16.1625ூᑖ᪆௃ᵫRᵬḄõöᦪ÷ø25%,ᓽ:ḄõöᦪYZRùᩭḄ1+25%=125%,ᓽ:ḄõöᦪAᵬùᩭḄõö*125%¶TḄõöᦪüx20%,ᓽ:TḄõöᦪYZRùᩭḄ1—20%=80%,ᓽ:TḄõöᦪATùᩭḄõöx80%,ᵫR:´ḄõöYᓽᵬùᩭḄõöxl25%=TùᩭḄõö*80%,᪷%DEḄdeឋgᑁ⚗©=᜜⚗©ᓽᵬùᩭḄõö:TùᩭḄõö=80%A125%,ᵫ:ᓄi80%A125%ᓽ[`2஺ூ12௃ᵫᑖ᪆[>AᵬùᩭḄõöxl25%=TùᩭḄõöx80%ᵬùᩭḄõö:TùᩭḄõö=80%A125%jᫀl5⚓ᐳ11⚓

9=(80%x20)A(125%x20)=16A25e⚪r⌕ὃ=DEḄdeឋg\DtᦪU(ᡈx)uᑖvwḄᦪ-UxªḄ¯×¢(þᮣ®¯ᵨ஺17.ᵬÿᩭᨵ47ᩭᨵ58ூᑖ᪆௃ᵬᨵxᑣᨵ(105-x)ᔜ3ᵬ!ᒕ(x-3)!ᒕ(105-X-3)$%&'ᵬḄᦪ*+4,5,ᵫ&ᑡ012(X—3),(105—X—3)=4,5,6&*7ᓽ9஺ூ;6௃6,ᵬᨵx஺(X—3):(105—X—3)=4,55x(x-3)=4x(105-X-3)5x-15=420-4x-125x-15+4x=420-4x-12+4x9x-15=4089x—15+15=408+159x=4239x+9=423+9x=47105-47=58()@,ᵬᩭᨵ47ᩭᨵ58஺&⚪ᐵCᙠEFG%ᦪ⊤IFḄᦪ᪷KLᩭᵬḄᦪ*+4,5,ᑡ16@஺18.NOPQḄ☢S215T⚕NOVWXḄ☢S225T⚕NOYZḄ☢S220T⚕஺ூᑖ᪆௃ᵨ\ᙢḄ^☢S_PQḄ☢Sᓰ^☢SḄᑖ᳛ᓽ9bFNOPQḄ☢Scᵨ^☢SdeNOPQḄ☢SbFNOVWXfYZḄ☢Sfg◀i^jᦪbFkjlmT⚕g_NOVWXfYZᔜnopḄjᦪᓽ9஺ூ;6௃60x4=15(T⚕)(60-15)r(5+4)@ᫀt6⚓ᐳ11⚓

10=45+9=5wT⚕x5x5=25wT⚕x5x4=20wT⚕x@,NOPQḄ☢S215T⚕NOVWXḄ☢S225T⚕NOYZḄ☢S220T⚕஺yz{|ᑖᦪ_}Ḅ~ᢥ*7ᑖḄ6@}+ᐵC஺19.96ூᑖ᪆௃᪥ᩭᦪ▅Ḅᦪᓫ“1”᪷Kᑖᦪ_}Ḅ~ᵨᩭḄ^ᦪ_w110%x,+ᑖஹஹḄᦪgᑖஹஹḄᦪ4ᓫ“1”ᐸᑖᑮḄᦪᓰ6+5+4,g᪷Kᑖᦪ_}Ḅ~ᵨᑖஹஹ4Ḅᦪ_6+5+4,+ᑖḄᦪ஺4ூ;6௃400xw1U10%xx6+5+44=400x90%x15=96wx@,ᑖᑮ96ᦪ▅஺ᐵC+*ᓄᡂᑖᦪg᪷Kᑖᦪwᑖᦪx_}Ḅ~6@஺20.360ᔴூᑖ᪆௃¢£ᨵ¤ᱥᓫ“1”¦Ḅ¤ᱥ§ᒕ¨Ḅ¤ᱥḄ©ª*22,7,«+7ᒕ¬¤ᱥᓰ^©ªḄ2+7,¦64ᔴᒕ¨Ḅ¤ᱥ®ᨵ¢£ᨵ¤ᱥḄ60%,ᐜbFt°±ᒕ¬¤ᱥ©ª*¦t²±Lᒕ¬¤ᱥᓰḄᑖ᳛«+64ᔴᓰ¤ᱥ©ªḄᑖ᳛³Kᑖᦪ◀}~ᓽ96@஺ூ;6௃2+7=9764-w2+7-60%x8=64+4545=64x8=360wᔴx@ᫀt7⚓ᐳ11⚓

11@,¢£ᨵ¤ᱥ360ᔴ஺᪷Kᢥ*7ᑖ´⚪iµ$%²ᦪḄ¶ᑖ·¶+lmb¸ᦪḄ%¹º»6@஺21.31.4¼ᔖ¾V=-7rr2hmூᑖ᪆௃᪷Kᙊ┵ḄÁ☢ÂÃbFᙊ┵ḄÁ☢ÄÃgᑭᵨ“3bFᙊ┵ḄÆ1SÇ▨ÉÊËÌ'ᙊ┵ḄÆSᓰ▨ÉÆSḄÍᨬL᪷K“ª+opḄᑖ᳛”bF¸▨ÉḄÆSK&6@஺]_ூ;6௃5x3.14'(4-2)2X1.5£=3x3.14x4x1.51-3xl.5)x(3.14x4)=0.5x12.56=6.28(¼ᔖ¾)16.28+4+1=6.28-5=31.4(¼ᔖ¾)@,¸▨ÉḄÆS+31.4¼ᔖ¾'ÒÓÔ▨ÉÊËÌ஺{|ᙊ┵ḄÆSÕÖT1+6@⚪×ḄᐵC஺22.105ᓟÙ2ூᑖ᪆௃ÚÛÜḄ^ݪᓫ"1”,ßàḄݪᓰ^ݪḄ2+3+15,ᩈâݪᓰ^3ݪḄ2+3+15,᪷KßàfᩈâḄ^ݪᑭᵨ“ª+opḄᑖ᳛“bFÚÛÜḄ^ݪᨬLᵨ_}bFãäḄݪK&6@஺2315[;6௃35+(2+3+15+2+3+15)x2+3+15J_3=35+(10+20)4xj_3=35+4x43=140x4=105(ᓟÙ)@ᫀt8⚓ᐳ11⚓

12@,◤⌕105ᓟÙãä஺{|ᢥ*7ᑖ´⚪Ḅ6⚪}+6@⚪×ḄᐵC஺23.288ூᑖ᪆௃ëNìḄ^ᦪᓫ"1”,᪷Kᑖᦪ_}Ḅ~ᵨëNìḄ^ᦪ_w1-60%x+íᢈfïðñḄ^ᦪcíᢈfïðñḄᦪª·*+2,3,᪷K3ᑖᦪ_}Ḅ~ᵨíᢈfïðñḄ^ᦪ_Í+ïðñḄᦪ஺31200xw1x-60%X——ூ;6௃2+3=1200x40%x-53=480x-5=288wx@,ì✂ᨵ288ïðñ஺⚪ὃôḄ+ᑖᦪwᑖᦪx_}Ḅ~µpᵨb²ᦪḄ¶ᑖ·¶+lmᵨ¸ᦪ_ᑖ᳛஺24.27õᔖ¾ூᑖ᪆௃᪷Kᢥ*7ᑖÂöëö÷ḄᩩÂöùḄf+300¾ᩩÂöùḄ*+232,3cᵨ300xú300x2^3,bFᩩÂöùḄüýcg᪷Kìþÿ=▭xᩩḄᑭᵨ☢x-2,#ᐭᦪ&☢஺2ூ)*௃300x2+32=300x3=1201233300x2+33=300x5=1801231202=12000ᔖ2112000x2000=61ᔖ237ᫀ99⚓ᐳ11⚓

131802=18000ᔖ2118000x2000=91ᔖ236*9+2=54+2=271=>ᔖ237?ᙇḄ☢A27=>ᔖ2஺ᑭᵨᢥᑖDE▭ḄᣚGHI☢ḄJᵨKL*7஺25.539.52.94503;ூᑖ᪆௃ᑭᵨḄNOឋQRKLᓄTUVWᨵᓫZḄ⌕ᐜ]ᓄ^_ᓫZḄKLᓄT஺J_.3ூ)*௃=9653`653=539-0.25a1b=520.450.2=4520=94.3625=>ᔖ2c=>ᑖ2=62537.5=5037ᫀ910⚓ᐳ11⚓

147ᫀ911⚓ᐳ11⚓

157ᫀ912⚓ᐳ1⚓