第一单元 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（北师大版2024）

一、混合运算 1同级运算一加减混合( 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 ⑦计算常练 用时：。 分 秒错误：个_家长评价：☆☆☆☆☆ ①15+54-42 221+33-36 316+62-45 d 450+20-60 540+30-20 618+51-6 = 7)90-80+50 8)22+45-31 980-30+40 = 见此图标©跟抖音/微信扫码掌握技巧，笔算快人一步！ 业 2 同级运算一加减混合(2) ①计算常练 用时：。分秒 错误：_个一家长评价：☆☆☆☆☆一 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 1135+26-12 1232-16+12 同步竖式、脱式计算·三年级·北师版·上册 3含有两级运算— 乘加(1)》 ②易错点分析 脱式计算时，没有将不参与计算的运算符号和数落下来。，一一一 计算：9×5+41 ⑧错误解答 Q错误改正 9×5+41 9×5+41 计算时不参 与计算的运 45 忘把“+41” = 45+41 算符号及数 落下来 =86 直接落下来 ①计算常练 用时：， 分 秒错误： 个 _家长评价：☆☆☆☆☆一一 ①6×8+7 24×8+36 35×6+47 45×9+27 56×8+35 65×5+72 7)8×9+13 83×6+52 96×9+2 见此图标©跟抖音/微信扫码掌握技巧，笔算快人一步！ 31 4含有两级运算— 乘加(2)》 ①计算常练 用时：分秒 错误：_个_家长评价：☆☆☆☆女一 ①7×7+21 27×8+14 ③65+2×9 ④71+6×2 533+4×3 629+3×7 755+6×6 838+6×4 95×7+43 104×9+36 118×8+19 125×8+24 同步竖式、脱式计算·三年级·北师版·上册 5含有两级运算— 乘减(1)》 ②易错点分析 计算含有乘法和减法的算式时，光算减法致误。 计算：6×6-2 ⑧错误解答 Q错误改正 6×6-2 6×6-2 6×4 先算减法致误 = 36-2 24 34光算乘法再算减法 2 ①计算常练 用时：， 分 秒错误： 个 家长评价：☆☆☆☆☆一一 ①5×6-4 28×8-7 37×2-4 42×6-11 59×9-20 681-3×7 7)64-7×7 849-6×5 94×6-12 见此图标©跟抖音/微信扫码掌握技巧，笔算快人一步！ 5 6含有两级运算— 乘减(2)》 ①计算常练 用时：分秒一错误：一个 家长评价：☆☆☆☆☆一」 ①58-4×7 250-2×4 ③8×9-31 4)8×7-24 55×5-12 68×4-11 = = 7)60-3×8 870-9×4 95×9-34 = 04444小 1059-8×6 1①90-5×8 1211-3×3 = 同步竖式、脱式计算·三年级·北师版·上册 7含有两级运算— 乘加、乘减(1) ②易错点分析 忘记进位。 计算：36+5×9 ⑧错误解箸 Q错误改正 36+5×9 36+5×9 =36+45→忘记进位· =36+45 =71 =81 ①计算常练 用时：分秒-错误： 个_家长评价：☆☆☆☆☆一一 ①38+3×8 22×6+51 363+2×9 472-4×6 580-2×5 67×7-21 = 71×9+51 866-6×5 97×6-21 见此图标©跟抖音/微信扫码掌握技巧，笔算快人一步！ 业 8含有两级运算— 乘加、乘减(2) ①计算常练 用时：分秒 错误：一个一家长评价：☆☆☆☆☆一4 ①4×7+27 25×8-19 ③7×3+14 43×4+56 58×2-14 699-9×9 717+7×9 83×9+27 92×4+15 1064-8×8 1159+3×6 1242-5×6 同步竖式、脱式计算·三年级·北师版·上册 9含有两级运算— 除加(1)》 ②易错点分析 计算含有加法和除法的算式时，没有先算除法。一一一一一一 计算：12+9÷3 ○错误解箸 Q错误改正 1 2+9÷3 12+9÷3 21 ÷3换从左注右的 = 12+3 = 7 顺序计算致误 15应先算深法，再算加洁 ①计算常练 用时：， 分 秒错误： 个 _家长评价：☆☆☆☆☆一一 ①64÷8+7 242÷7+4 381÷9+2 427÷9+21 530÷5+6 640+40÷8 754÷6+91 828÷7+14 925+25÷5 见此图标©跟抖音/微信扫码掌握技巧，笔算快人一步！ 9 10含有两级运算— 除加(2) ①计算常练 用时：，一 分秒 错误：_个_家长评价：☆☆☆☆☆一 ①20+48÷6 212÷4+15 317+49÷7 ④17+64÷8 5)27+18÷9 630+30÷6 775+16÷4 856+56÷8 954÷9+61 1021+21÷7 1126+81÷9 1221+36÷6 同步竖式、脱式计算·三年级·北师版·上册三年级·北师版·上册 参考答案 一、混合运算 ⑨27-17+10 036+38-16 1.同级运算 加减混合(1) =10+10 =74-16 ①15+54-42 ②21+33-36 =20 =58 =69-42 =54-36 =27 =18 ①35+26-12 232-16+12 316+62-45 ④50+20-60 =61-12 =16+12 =78-45 =70-60 =49 =28 =33 =10 3.含有两级运算 —乘加(1)》 ⑤40+30-20 618+51-6 =70-20 =69-6 ①6×8+7 24×8+36 =50 =63 =48+7 =32+36 =55 =68 (790-80+50 822+45-31 =10+50 =67-31 ③5×6+47 ④5×9+27 =60 =36 =30+47 =45+27 ⑨80-30+40 =77 =72 =50+40 =90 ⑤6×8+35 ⑥5×5+72 =48+35 2.同级运算 加减混合(2) =25+72 =83 =97 ①16+36-11 ②40+50-80 =52-11 =90-80 ⑦8×9+13 ⑧3×6+52 =41 =10 =72+13 =18+52 ③26+42-8 ④15+29-15 =85 =70 =68-8 =44-15 =60 =29 ⑨6×9+2 =54+2 580-60+10 634+49-24 =56 =20+10 =83-24 =30 =59 4.含有两级运算—一 乘加(2) ⑦27-18+23 824-19+13 ①7×7+21 ②7×8+14 =9+23 =5+13 =49+21 =56+14 =32 =18 =70 =70 1· 同步竖式、脱式计算 ③65+2×9 ④71+6×2 6.含有两级运算 乘减(2) =65+18 =71+12 ①58-4×7 ②50-2×4 =83 =83 =58-28 =50-8 =30 =42 ⑤33+4×3 629+3×7 =33+12 =29+21 38×9-31 ④8×7-24 =45 =50 =72-31 =56-24 =41 =32 ⑦55+6×6 838+6×4 =55+36 =38+24 ⑤5×5-12 68×4-11 =91 =62 =25-12 =32-11 ⑨5×7+43 04×9+36 =13 =21 =35+43 =36+36 ⑦60-3×8 870-9×4 =78 =72 =60-24 =70-36 ①8×8+19 25×8+24 =36 =34 =64+19 =40+24 95×9-34 059-8×6 =83 =64 =45-34 =59-48 5.含有两级运算 乘减(1) =11 =11 ①5×6-4 ②8×8-7 ①90-5×8 211-3×3 =30-4 =64-7 =90-40 =11-9 =26 =57 =50 =2 37×2-4 ④2×6-11 7.含有两级运算 =14-4 =12-11 —乘加、乘减(1)》 =10 =1 ①38+3×8 ②2×6+51 ⑤9×9-20 681-3×7 =38+24 =12+51 =81-20 =81-21 =62 =63 =61 =60 ③63+2×9 ④72-4×6 ⑦64-7×7 ⑧49-6×5 =63+18 =72-24 =64-49 =49-30 =81 =48 =15 =19 ⑤80-2×5 67×7-21 ⑨4×6-12 =80-10 =49-21 =24-12 =70 =28 =12 ·2· 三年级·北师版·上册 ⑦1×9+51 866-6×5 381÷9+2 ④27÷9+21 =9+51 =66-30 =9+2 =3+21 =60 =36 =11 =24 ⑤30÷5+6 ⑥40+40÷8 ⑨7×6-21 =42-21 =6+6 =40+5 =45 =21 =12 8.含有两级运算 ⑦54÷6+91 828÷7+14 =9+91 =4+14 乘加、乘减(2) =100 =18 ①4×7+27 ②5×8-19 =28+27 =40-19 ⑨25+25÷5 =55 =21 =25+5 =30 ③7×3+14 ④3×4+56 10.含有两级运算 除加(2) =21+14 =12+56 ①20+48÷6 =35 =68 ②12÷4+15 =20+8 =3+15 ⑤8×2-14 699-9×9 =28 =18 =16-14 =99-81 ③17+49÷7 ④17+64÷8 =2 =18 =17+7 =17+8 ⑦17+7×9 ⑧3×9+27 =24 =25 =17+63 =27+27 527+18÷9 ⑥30+30÷6 =80 =54 =27+2 =30+5 ⑨2×4+15 1064-8×8 =29 =35 =8+15 =64-64 ⑦75+16÷4 856+56÷8 =23 =0 =75+4 =56+7 =79 =63 ①59+3×6 242-5×6 =59+18 =42-30 ⑨54÷9+61 021+21÷7 =77 =12 =6+61 =21+3 9.含有两级运算—除加(1) =67 =24 ①64÷8+7 ②42÷7+4 ①26+81÷9 221+36÷6 =8+7 =6+4 =26+9 =21+6 =15 =10 =35 =27 ·3· 同步竖式、脱式计算 11.含有两级运算—除减(1) ①44-32÷8 218-25÷5 ①80-40÷8 240-42÷7 =44-4 =18-5 =80-5 =40-6 =40 =13 =75 =34 13.带小括号的混合运算 350-20÷5 ④82-81÷9 加减混合 =50-4 =82-9 ①70-(40+8) 285-(50+7） =46 =73 =70-48 =85-57 ⑤54-15÷3 692-14÷7 =22 =28 =54-5 =92-2 =49 =90 ③51-(30+3) ④92-(70+4) =51-33 =92-74 ⑦72-36÷6 861-28÷4 =18 =18 =72-6 =61-7 =66 =54 566-(40+21) 688-(50+21) ⑨44-35÷5 =66-61 =88-71 =44-7 =5 =17 =37 ⑦70-(40+6) ⑧56-(20+21) 12.含有两级运算—一除减(2)》 =70-46 =56-41 ①51-24÷4 ②33-18÷9 =24 =15 =51-6 =33-2 ⑨35-(15+13)】 =45 =31 =35-28 312-15÷5 ④20-12÷4 =7 =12-3 =20-3 14.带小括号的混合运算 =9 =17 乘加混合 ⑤33-64÷8 629-24÷3 ①7×(4+4)》 ②5×(5+4) =33-8 =29-8 =7×8 =5×9 =25 =21 =56 =45 ⑦86-56÷8 ⑧52-63÷9 ③3×(6+3) ④8×(2+4) =86-7 =52-7 =3×9 =8×6 =79 =45 =27 =48 ⑨82-28÷4 035-28÷7 ⑤4×(2+7) 62×(4+3) =82-7 =35-4 =4×9 =2×7 =75 =31 =36 =14 ·4· 三年级·北师版·上册 ⑦5×(1+7) 89×(1+4) 16.带小括号的混合运算 =5×8 =9×5 除加混合 =40 =45 ①(24+32)÷8②(15+20)÷5 =56÷8 =35÷5 ⑨8×(3+3) 03×(2+7) =7 =7 =8×6 =3×9 =48 =27 ③(14+35)÷7 ④(36+18)÷6 =49÷7 =54÷6 ①4×(6+3) 26×(2+5) =7 =9 =4×9 =6×7 =36 =42 ⑤(8+56)÷8 ⑥(24+6)÷6 =64÷8 =30÷6 15.带小括号的混合运算 =8 =5 —乘减混合 ⑦(21+6)÷3 ⑧(28+8)÷4 ①(11-6)×3 29×(5-2) =27÷3 =36÷4 =5×3 =9×3 =9 =9 =15 =27 ⑨56÷(5+2) 0(42+21)÷7 ③2×(15-9) ④(11-7)×8 =56÷7 =63÷7 =2×6 =4×8 =8 =9 =12 =32 ①64÷(2+6) 1248÷(2+4) ⑤7×(12-6) ⑥(17-12)×9 =64÷8 =48÷6 =7×6 =5×9 =8 =8 =42 =45 17.带小括号的混合运算 除减混合 ⑦7×(6-3) 8(44-38)×9 =7×3 =6×9 ①(36-9)÷9 ②(43-19)÷8 =54 =27÷9 =24÷8 =21 =3 =3 ⑨(11-9)×4 06×(10-3) ③(36-16)÷4④(42-6)÷4 =2×4 =6×7 =20÷4 =36÷4 =8 =42 =5 =9 ①6×(8-0) 24×(18-13)） ⑤35÷(18-11) ⑥(34-16)÷6 =6×8 =4×5 =35÷7 =18÷6 =48 =20 =5 =3 5… 同步竖式、脱式计算 ⑦24÷(18-14)⑧(44-8)÷9 15(77-42)÷7 =24÷4 =36÷9 =35÷7 =6 =4 =5 ⑨(91-10)÷9 0012÷(15-11) 二①×15-6÷3 =81÷9 =12÷4 =15-2 =9 =3 =13 ①64÷(19-11) 1256÷(23-15) ②×68-21+9 =64÷8 =56÷8 =47+9 =8 =7 =56 阶段练习(1) ③×36+18÷9 一、①77-81÷9 ②3×7+20 =36+2 =77-9 =21+20 =38 =68 =41 ④×48÷(8-2) ③16÷4+25 ④22-21+43 =48÷6 =4+25 =1+43 =8 =29 =44 二、测量（二） 542+4×6 633-12÷4 1.复习带小括号的混合运算(1) =42+24 =33-3 ①75-(15+17) ②100-(11+11) =66 =30 =75-32 =100-22 =43 =78 ⑦3×5+33 847-16-22 =15+33 =31-22 325+(95-48) ④86-(56+13) =48 =9 =25+47 =86-69 =72 =17 ⑨27+3×8 026-1×8 =26-8 ⑤22+(93-21) ⑥91-(11+13) =27+24 =22+72 =91-24 =51 =18 =94 =67 ①25+18÷9 1261-41-18 ⑦11+(87-30) ⑧46+(97-65) =25+2 =20-18 =11+57 =46+32 =27 =2 =68 =78 1B24÷(3+3) 148×(8-6) ⑨95-(10+18) 012+(47-28) =24÷6 =8×2 =95-28 =12+19 =4 =16 =67 =31 6…