二 混合运算-【勤径千里马】2025-2026学年新教材三年级上册数学同步竖式脱式计算（人教版2024）

二、混合运算 1同级运算—加减混合(1)》 ②易错点分析计算加减混合时，没有按运算顺序计算。 计算：87-28+14 ⑧错误解箸 ©错误改正 87-28+14 87-28+14 87-42■ 59+14 =45先算右边的致误 73 应从左注右 依次计算 ①计算常练 用时： 分 秒错误：个_家长评价：☆☆☆☆☆一 ①15+54-42 221+33-36 316+62-45 = 450+20-60 540+30-20 618+51-6 = 7)90-80+50 8)22+45-31 980-30+40 = = 同步竖式脱式计算·三年级（上册）】 2 同级运算一加减混合(2) ①计算常练 用时： 分秒 错误：_个家长评价：☆☆☆☆☆一4 ①16+36-11 240+50-80 ③26+42-8 415+29-15 580-60+10 634+49-24 = 727-18+23 824-19+13 927-17+10 = = 1036+38-16 135+26-12 1232-16+12 = 同步竖式、脱式计算·三年级（上册） 3同级运算—连减(1) ②易错点分析 计算连减算式时，没有按运算顺序计算。 计算：80-20-11 ⑧错误解箸 ⑦错误改正 80-20-11 80-20-11 = 80-9 60-11 = 71 先算右边致误 49 从左到右依次计算 ⊙计算常练 用时：。 分 秒错误： 个 _家长评价：☆女☆☆女一一 ①40-10-10 262-16-45 351-18-6 470-20-40 538-28-6 688-28-42 二 757-15-20 866-33-11 972-18-23 同步竖式脱式计算·三年级（上册）】 4同级运算一 连减(2) ①计算常练 用时： 分秒 错误：_个_家长评价：☆☆☆☆☆一 ①60-40-10 275-55-12 387-12-54 425-10-2 572-13-41 661-25-23 781-9-43 892-90-2 951-21-30 1044-21-15 153-27-16 1236-13-20 = 同步竖式、脱式计算·三年级（上册） 5同级运算—乘除混合(1)》 ⑦易错点分析 记错乘法口诀导致结果计算错误。 计算：2×9÷6 ⑧错误解箸 ⑦错误改正 2×9÷6 2×9÷6 18÷6 =18÷6 4 3×6=18, =3 18÷6 的商应为3 ⑦计算常练 用时：， 分 秒错误：个_家长评价：☆☆☆☆☆一一 ①36÷9×8 220÷4×7 ③81÷9×9 = 44×6÷3 532÷4×6 625÷5×6 = 7)20÷5×6 8)6×9÷6 93×6÷2 = = 同步竖式脱式计算·三年级（上册） 6 同级运算—乘除混合(2) ①计算常练 用时：分秒 错误：_个_家长评价：☆☆☆☆☆一4 ①2×5÷2 23×4÷2 ③2×6÷4 ④2×7÷2 518÷3×2 63×9÷3 715÷3×9 835÷7×1 912÷2×2 1035÷5×8 1①16÷8×2 124×4÷8 同步竖式、脱式计算·三年级（上册） 9 7同级运算一连除(1) ②易错点分析 误将除法算成乘法。 计算：40÷5÷8 ⑧错误解箸 Q错误改正 40÷5÷8 40÷5÷8 =8÷8 误将除法 =8÷8 64 算成乘法 =1 ①计算常练 用时：， 分 一秒一错误：一个_家长评价：☆☆☆☆女一一 ①56÷7÷2 240÷8÷5 363÷7÷3 427÷9÷3 554÷6÷9 681÷9÷3 7)24÷3÷4 836÷6÷2 948÷8÷3 70y 同步竖式脱式计算·三年级（上册） 8同级运算— 连除(2) ①计算常练 用时： 分秒 错误：_个_家长评价：☆☆☆☆☆一一 ①30÷5÷2 235÷5÷7 340÷5÷4 445÷5÷3 518÷3÷2 624÷6÷2 742÷7÷3 848÷6÷4 954÷6÷3 1049÷7÷1 156÷8÷7 1263÷9÷1 同步竖式、脱式计算·三年级（上册） 阶段练习(1)》 )计算常练 用时：。分 秒错误：个，家长评价：☆女☆☆☆一 一、脱式计算。 ①34-12+12 26×5÷5 355-16-13 = = = 48×3÷6 527+31-13 648÷8÷3 = = = : 724÷6÷2 881÷9×2 944-20+11 = = = = 1044-13+17 1016÷2÷4 1225÷5×6 = = = 12 同步竖式脱式计算·三年级（上册）】 二、将下列错误的计算改正过来。 ①77-34+8 257-23-3 =77-42 改正 =57-20 改正 =35 =37 318÷2÷3 46×6÷9 =9÷3 =36÷9 =27 =5 523+16-17 649÷7×2 =40-16 =6×2 改正 =24 =12 772-44+11 824÷3÷4 =72-55 =8÷4 改正 =17 =32 同步竖式、脱式计算·三年级（上册）参 一、观察物体 1.复习乘加、乘减(1) ①6 ②4 38 ④18 ⑤4 620 ⑦17 ⑧11 ⑨27 2.复习乘加、乘减(2) ①8 ②40 ③48 ④59 ⑤80 ⑥75 ⑦17 891 ⑨82 1070 ①86 122 1361 ④18 1521 3.复习乘加、乘减(3) ①13 ②66 3100 40 ⑤20 646 ⑦60 886 ⑨61 036 ①90 1234 1377 1432 1596 二、混合运算 1.同级运算一加减混合(1) ①15+54-42 ②21+33-36 =69-42 =54-36 =27 =18 316+62-45 ④50+20-60 =78-45 =70-60 =33 =10 540+30-20 618+51-6 =70-20 =69-6 =50 =63 三年级（上册） 考答案 ⑦90-80+50 ⑧22+45-31 =10+50 =67-31 =60 =36 ⑨80-30+40 =50+40 =90 2.同级运算—加减混合(2) ①16+36-11 ②40+50-80 =52-11 =90-80 =41 =10 ③26+42-8 ④15+29-15 =68-8 =44-15 =60 =29 580-60+10 634+49-24 =20+10 =83-24 =30 =59 ⑦27-18+23 824-19+13 =9+23 =5+13 =32 =18 ⑨27-17+10 4036+38-16 =10+10 =74-16 =20 =58 ①35+26-12 232-16+12 =61-12 =16+12 =49 =28 。1 同步竖式、脱式计算 3.同级运算 —连减(1) ①40-10-10 262-16-45 =30-10 =46-45 =20 =1 ③51-18-6 ④70-20-40 =33-6 =50-40 =27 =10 538-28-6 ⑥88-28-42 =10-6 =60-42 =4 =18 ⑦57-15-20 866-33-11 =42-20 =33-11 =22 =22 ⑨72-18-23 =54-23 =31 4.同级运算—连减(2) ①60-40-10 ②75-55-12 =20-10 =20-12 =10 =8 387-12-54 ④25-10-2 =75-54 =15-2 =21 =13 572-13-41 661-25-23 =59-41 =36-23 =18 =13 ⑦81-9-43 ⑧92-90-2 =72-43 =2-2 =29 =0 ⑨51-21-30 044-21-15 =30-30 =23-15 =0 =8 ①53-27-16 236-13-20 =26-16 =23-20 =10 =3 5.同级运算 乘除混合(1)】 ①36÷9×8 ②20÷4×7 =4×8 =5×7 =32 =35 ③81÷9×9 ④4×6÷3 =9×9 =24÷3 =81 =8 ⑤32÷4×6 ⑥25÷5×6 =8×6 =5×6 =48 =30 ⑦20÷5×6 86×9÷6 =4×6 =54÷6 =24 =9 ⑨3×6÷2 =18÷2 =9 2· 6.同级运算一乘除混合(2) ①2×5÷2 ②3×4÷2 =10÷2 =12÷2 =5 =6 ③2×6÷4 ④2×7÷2 =12÷4 =14÷2 =3 =7 ⑤18÷3×2 63×9÷3 =6×2 =27÷3 =12 =9 ⑦15÷3×9 835÷7×1 =5×9 =5×1 =45 =5 ⑨12÷2×2 1035÷5×8 =6×2 =7×8 =12 =56 ①16÷8×2 24×4÷8 =2×2 =16÷8 =4 =2 7.同级运算一连除(1) ①56÷7÷2 240÷8÷5 =8÷2 =5÷5 =4 =1 ③63÷7÷3 ④27÷9÷3 =9÷3 =3÷3 =3 =1 三年级（上册）‖ ⑤54÷6÷9 ⑥81÷9÷3 =9÷9 =9÷3 =1 =3 ⑦24÷3÷4 ⑧36÷6÷2 =8÷4 =6÷2 =2 =3 ⑨48÷8÷3 =6÷3 =2 8.同级运算—连除(2) ①30÷5÷2 ②35÷5÷7 =6÷2 =7÷7 =3 =1 ③40÷5÷4 ④45÷5÷3 =8÷4 =9÷3 =2 =3 ⑤18÷3÷2 ⑥24÷6÷2 =6÷2 =4÷2 =3 =2 ⑦42÷7÷3 ⑧48÷6÷4 =6÷3 =8÷4 =2 =2 ⑨54÷6÷3 1049÷7÷1 =9÷3 =7÷1 =3 =7 ·3 「同步竖式、脱式计算 ①56÷8÷7 263÷9÷1 =7÷7 =7÷1 =1 =7 阶段练习(1) 一、①34-12+12 ②6×5÷5 =22+12 =30÷5 =34 =6 355-16-13 ④8×3÷6 =39-13 =24÷6 =26 =4 527+31-13 648÷8÷3 =58-13 =6÷3 =45 =2 724÷6÷2 881÷9×2 =4÷2 =9×2 =2 =18 ⑨44-20+11 044-13+17 =24+11 =31+17 =35 =48 ①16÷2÷4 225÷5×6 =8÷4 =5×6 =2 =30 二、①77-34+8 257-23-3 =43+8 =34-3 =51 =31 ③18÷2÷3 ④6×6÷9 =9÷3 =36÷9 =3 =4 ⑤23+16-17 649÷7×2 =39-17 =7×2 =22 =14 ⑦72-44+11 824÷3÷4 =28+11 =8÷4 =39 =2 9.含有两级运算—乘加(1) ①6×8+7 ②4×8+36 =48+7 =32+36 =55 =68 35×6+47 ④5×9+27 =30+47 =45+27 =77 =72 ⑤6×8+35 ⑥5×5+72 =48+35 =25+72 =83 =97 ⑦8×9+13 83×6+52 =72+13 =18+52 =85 =70 ⑨6×9+2 =54+2 =56 4· 10.含有两级运算一乘加(2) ①7×7+21 ②7×8+14 =49+21 =56+14 =70 =70 ③65+2×9 ④71+6×2 =65+18 =71+12 =83 =83 ⑤33+4×5 629+3×7 =33+20 =29+21 =53 =50 ⑦55+5×5 838+6×4 =55+25 =38+24 =80 =62 ⑨5×7+43 104×9+36 =35+43 =36+36 =78 =72 ①8×8+19 25×8+24 =64+19 =40+24 =83 =64 11.含有两级运算一乘减(1) ①5×6-4 28×8-7 =30-4 =64-7 =26 =57 37×2-4 ④2×6-11 =14-4 =12-11 =10 =1 三年级（上册）1 ⑤9×9-20 ⑥81-5×5 =81-20 =81-25 =61 =56 ⑦64-7×7 849-6×5 =64-49 =49-30 =15 =19 ⑨4×6-12 =24-12 =12 12.含有两级运算—乘减(2) ①58-4×7 ②50-2×4 =58-28 =50-8 =30 =42 ③8×9-31 ④8×7-24 =72-31 =56-24 =41 =32 ⑤5×5-12 68×4-11 =25-12 =32-11 =13 =21 ⑦60-3×8 870-9×4 =60-24 =70-36 =36 =34 ⑨5×9-34 059-8×6 =45-34 =59-48 =11 =11 5 「同步竖式、脱式计算 ①90-5×8 211-3×3 =90-40 =11-9 =50 =2 13.含有两级运算 —乘加、乘减(1) ①38+3×8 ②2×6+51 =38+24 =12+51 =62 =63 363+2×9 ④72-4×6 =63+18 =72-24 =81 =48 ⑤80-2×5 ⑥7×7-21 =80-10 =49-21 =70 =28 ⑦1×9+51 866-6×5 =9+51 =66-30 =60 =36 ⑨7×6-21 =42-21 =21 14.含有两级运算一乘加、乘减(2) ①4×7+27 25×8-19 =28+27 =40-19 =55 =21 37×3+14 ④3×4+56 =21+14 =12+56 =35 =68 ⑤8×2-14 699-9×9 =16-14 =99-81 =2 =18 ⑦17+7×9 83×9+27 =17+63 =27+27 =80 =54 ⑨2×4+15 1064-8×8 =8+15 =64-64 =23 =0 ①59+3×6 242-5×6 =59+18 =42-30 =77 =12 15.含有两级运算—除加(1) ①64÷8+7 ②42÷7+4 =8+7 =6+4 =15 =10 ③81÷9+2 ④27÷9+21 =9+2 =3+21 =11 =24 ⑤30÷5+6 640+40÷8 =6+6 =40+5 =12 =45 754÷6+91 828÷7+14 =9+91 =4+14 =100 =18 ⑨25+25÷5 =25+5 =30 16.含有两级运算一除加(2) ①20+48÷6 ②12÷4+15 =20+8 =3+15 =28 =18 ③17+49÷7 ④17+64÷8 =17+7 =17+8 =24 =25 527+18÷9 630+30÷6 =27+2 =30+5 =29 =35 ⑦75+16÷4 856+56÷8 =75+4 =56+7 =79 =63 ⑨54÷9+61 021+21÷7 =6+61 =21+3 =67 =24 ①26+81÷9 1221+36÷6 =26+9 =21+6 =35 =27 17.含有两级运算一除减(1)】 ①80-40÷8 240-42÷7 =80-5 =40-6 =75 =34 350-20÷5 ④82-81÷9 =50-4 =82-9 =46 =73 三年级（上册） ⑤54-15÷3 692-14÷7 =54-5 =92-2 =49 =90 ⑦72-36÷6 ⑧61-28÷4 =72-6 =61-7 =66 =54 ⑨44-35÷5 =44-7 =37 18.含有两级运算—除减(2) ①51-24÷4 ②33-18÷9 =51-6 =33-2 =45 =31 ③12-15÷5 ④20-12÷4 =12-3 =20-3 =9 =17 ⑤33-64÷8 629-24÷3 =33-8 =29-8 =25 =21 ⑦86-56÷8 ⑧52-63÷9 =86-7 =52-7 =79 =45 ⑨82-28÷4 035-28÷7 =82-7 =35-4 =75 =31 7 「同步竖式、脱式计算 ①44-32÷8 218-25÷5 =44-4 =18-5 =40 =13 19.含有两级运算—除加、除减(1)》 ①26+15÷3 ②13+18÷6 =26+5 =13+3 =31 =16 328+28÷4 ④15+35÷7 =28+7 =15+5 =35 =20 529-27÷9 627-36÷4 =29-3 =27-9 =26 =18 ⑦22+20÷4 872+15÷5 =22+5 =72+3 =27 =75 ⑨36-12÷6 =36-2 =34 20.含有两级运算一除加、除减(2) ①14+35÷7 215+20÷5 =14+5 =15+4 =19 =19 36÷3+18 ④32÷4+52 =2+18 =8+52 =20 =60 ⑤45-40÷8 664-56÷7 =45-5 =64-8 =40 =56 740-12÷6 857-27÷9 =40-2 =57-3 =38 =54 ⑨81-54÷6 040+21÷3 =81-9 =40+7 =72 =47 ①63+36÷9 227+9÷3 =63+4 =27+3 =67 =30 21.带小括号的混合运算 一加减混合(1) ①70-(40+8) 285-(50+7) =70-48 =85-57 =22 =28 351-(30+3) ④92-(70+4) =51-33 =92-74 =18 =18 566-(40+21) 688-(50+21) =66-61 =88-71 =5 =17 ⑦70-(40+6) 856-(20+21) =70-46 =56-41 =24 =15 ⑨35-(15+13) =35-28 =7 22.带小括号的混合运算 —加减混合(2) ①90-(75-25) ②64-(52-23) =90-50 =64-29 =40 =35 341-(20-18) ④55-(28+14) =41-2 =55-42 =39 =13 ⑤40-(11+21) 623-(17-6) =40-32 =23-11 =8 =12 ⑦85-(75+7) 898-(66-43) =85-82 =98-23 =3 =75 ⑨64-(25+34) 1049-(23-11)】 =64-59 =49-12 =5 =37 ①57-(15+16) 1225-(30-15) =57-3引 =25-15 =26 =10 23.带小括号的混合运算 —乘除混合(1) ①4×(9÷3) ②6×(3÷1) =4×3 =6×3 =12 =18 三年级（上册）1 ③8×(4÷2) ④6×(6÷3) =8×2 =6×2 =16 =12 ⑤72÷(2×4) ⑥81÷(1×9) =72÷8 =81÷9 =9 =9 ⑦16÷(4×2) ⑧30÷(2×3) =16÷8 =30÷6 =2 =-5 ⑨24÷(2×3)》 =24÷6 =4 24.带小括号的混合运算 乘除混合(2) ①49÷(1×7) ②48÷(3×2) =49÷7 =48÷6 =7 =8 ③2×(18÷9) ④3×(63÷9)】 =2×2 =3×7 =4 =21 ⑤2×(35÷7) ⑥28÷(2×2) =2×5 =28÷4 =10 =7 ⑦6÷(2×3) ⑧27÷(3×3) =6÷6 =27÷9 =1 =3 9. 同步竖式、脱式计算 ⑨7×(14÷2) 07×(81÷9) =7×7 =7×9 =49 =63 ①8×(64÷8) 23×(40÷5) =8×8 =3×8 =64 =24 25.带小括号的混合运算 —含有两级运算(1) ①16÷(4+4) ②(11-7)×8 =16÷8 =4×8 =2 =32 ③7×(3+5) ④35÷(18-11) =7×8 =35÷7 =56 =5 ⑤(15+1)÷2 69×(5-2) =16÷2 =9×3 =8 =27 ⑦(36-16)÷4 864÷(19-11) =20÷4 =64÷8 =5 =8 ⑨2×(15-9) =2×6 =12 26.带小括号的混合运算 一含有两级运算(2) ①9×(18-12) ②(15+20)÷5 =9×6 =35÷5 =54 =7 ③(49-21)÷7 ④52+(63-41) =28÷7 =52+22 =4 =74 ⑤(8+1)×4 675-(27+18) =9×4 =75-45 =36 =30 ⑦9×(3+3) 836÷(30-24) =9×6 =36÷6 =54 =6 ⑨(24+6)÷6 =30÷6 =5 27.列不带括号的综合算式 ①92272÷8+13=22 ②81018-16÷2=10 ③56307×8-26=30 ④512932+19-22=29 ⑤21016÷8×5=10 ⑥241741-3×8=17 28.列带括号的综合算式 ①306(24+6)÷5=6 ②4205×(32÷8)=20 ③432770-(36+7)=27 ④549(76-22)÷6=9 ⑤493382-(40+9)=33 ⑥155(12+3)÷3=5 29.列综合算式 ①306030+5×6=60 ②52642-37+21=26 ③94334+72÷8=43 10·