2021-2022学年冀教版七年级数学上册《1.11有理数的混合运算》
计算能力达标专题突破训练(附答案)
1.计算:.
2.计算:23×(﹣+1)÷(1﹣3).
3.计算:
(1);
(2)﹣(﹣3﹣5)+32×(4﹣3).
4.计算:(﹣3)2×()3﹣(﹣9+3).
5.计算:
(1)(﹣20)+(+3)﹣(﹣5)﹣(+7).
(2)(﹣+)÷﹣(﹣1)2021.
6.计算:
(1)(+﹣)÷;
(2)(﹣1)2021×|1|﹣(0.5)÷(﹣).
7.计算:.
8.计算:
(1)4+(﹣3)2×2.
(2)×6.
9.计算:
(1)﹣32﹣9×(﹣);
(2)[(﹣2)3+]÷4+(﹣).
10.计算:
(1)7+(﹣6)﹣(﹣4)×3;
(2)﹣23÷8﹣×(﹣2)2.
11.计算:[2+(﹣5)2]÷3×﹣|﹣4|+23.
12.计算:
(1)﹣(﹣3)+|﹣1|﹣(+9);
(2)[﹣3×(﹣)2+(﹣1)3]÷(﹣).
13.计算:
(1)3×(﹣4)+18÷(﹣6);
(2)(﹣2)×2×5+(﹣2)×3÷4.
14.计算:.
15.计算:﹣23÷4+|﹣3|×(﹣1)2020.
16.计算:
(1)8+(﹣9)﹣5﹣(﹣6);
(2)(﹣1)3﹣(1﹣7)÷3×[3﹣(﹣3)2].
17.计算:24÷(﹣2)3+[(﹣3)2+5]×|﹣|.
18.计算:.
19.计算:﹣32+(﹣3)2﹣(﹣3)+|﹣3|+(﹣2)3.
20.计算:.
21.计算:.
22.(1)简算:(﹣+﹣)÷(﹣);
(2)简算:(﹣96)÷6;
(3)﹣32+[﹣+(﹣)]×12;
(4)﹣1﹣2×|﹣|+(﹣6)×(﹣).
23.计算:.
24.计算:(﹣﹣)÷(﹣)+(﹣).
25.计算:32÷(﹣2)3﹣3×|﹣1|.
26.计算:
(1)(﹣4)﹣(﹣2)+(﹣9)+3.5;
(2)(﹣1)÷(0.75)×(﹣1)÷3×(﹣0.5)2;
(3)(﹣3)2﹣(1)3×﹣6÷;
(4)(﹣3+﹣)×(﹣62).
27.计算:﹣24÷﹣(﹣2)×4+1÷×(﹣2).
参考答案
1.解:原式=﹣9÷(4﹣1)+(﹣)×24
=﹣9÷3+(×24﹣×24)
=﹣3+(16﹣6)
=﹣3+10
=7.
2.解:原式=8×÷(﹣2)
=4÷(﹣2)
=﹣2.
3.解:(1)
=﹣×12+×12﹣×12
=﹣6+4﹣3
=﹣5;
(2)﹣(﹣3﹣5)+32×(4﹣3)
=﹣(﹣8)+9×1
=8+9
=17.
4.解:(﹣3)2×()3﹣(﹣9+3)
=9×﹣(﹣6)
=+6
=6.
5.解:(1)(﹣20)+(+3)﹣(﹣5)﹣(+7)
=(﹣20)+3+5+(﹣7)
=[(﹣20)+(﹣7)]+(3+5)
=(﹣27)+8
=﹣19;
(2)(﹣+)÷﹣(﹣1)2021
=(﹣+)×24﹣(﹣1)
=×24﹣×24+×24+1
=16﹣18+21+1
=20.
6.解:(1)原式=(+﹣)×24
=
=6+9﹣14
=1;
(2)原式=(﹣1)×﹣×(﹣3)
=﹣﹣(﹣)
=0.
7.解:
=9××﹣(1﹣8)﹣6
=6+7﹣6
=7.
8.解:(1)原式=4+9×2
=4+18
=22;
(2)原式=×(﹣12+32﹣6)
=×14
=8.
9.解:(1)﹣32﹣9×(﹣)
=﹣9﹣(﹣3)
=﹣9+3
=﹣6,
(2)[(﹣2)3+]÷4+(﹣)
=[﹣8+]×﹣
=﹣﹣
=﹣.
10.解:(1)7+(﹣6)﹣(﹣4)×3=7﹣6+12=13;
(2)﹣23÷8﹣×(﹣2)2=﹣1﹣1=﹣2.
11.解:原式=[2+25]÷3×﹣4+8
=27÷3×﹣4+8
=9×﹣4+8
=3﹣4+8
=7.
12.解:(1)原式=3+1﹣9
=﹣5;
(2)原式=[﹣3×+(﹣1)]×(﹣)
=[﹣+(﹣1)]×(﹣)
=﹣×(﹣)
=2.
13.解:(1)原式=﹣12+(﹣3)
=﹣15;
(2)原式=﹣20+(﹣)
=﹣+(﹣)
=﹣.
14.解:原式=9×+25
=27+25
=52.
15.解:原式=﹣8÷4+3×1
=﹣2+3
=1.
16.解:(1)原式=8+(﹣9)+(﹣5)+6
=(8+6)+[(﹣9)+(﹣5)]
=14+(﹣14)
=0;
(2)原式=﹣1﹣(﹣6)÷3×[3﹣9]
=﹣1﹣(﹣2)×(﹣6)
=﹣1﹣12
=﹣1+(﹣12)
=﹣13.
17.原式=24÷(﹣8)+[9+5]×
=﹣3+14×
=﹣3+7
=4.
18.解:
=﹣9+×[2+(﹣8)]﹣3×(﹣4)
=﹣9+×(﹣6)+12
=﹣9+(﹣4)+12
=﹣1.
19.解:﹣32+(﹣3)2﹣(﹣3)+|﹣3|+(﹣2)3
=﹣9+9+3+3+(﹣8)
=﹣2.
20.解:
=×(﹣1.2)﹣×(﹣1.2)+1×(﹣1.2)
=﹣0.9+1.4+(﹣1.2)
=﹣0.7.
21.解:
=×﹣×+×
=(+)×
=()×
=(﹣1)×
=﹣.
22.解:(1)原式=(﹣+﹣)×(﹣36)
=(﹣)×(﹣36)+×(﹣36)+(﹣)×(﹣36)
=3﹣12+18
=9.
(2)原式=(﹣96﹣)×
=(﹣96)×﹣×
=﹣16﹣
=﹣16.
(3)原式=﹣9+(﹣)×12+(﹣)×12
=﹣9﹣10﹣3
=﹣22.
(4)原式=﹣1﹣2×+2
=﹣1﹣+2
=.
23.解:
=125÷+(﹣)×
=45﹣
=44.
24.解:(﹣﹣)÷(﹣)+(﹣)
=﹣÷(﹣)+(﹣)
=+(﹣)
=﹣1.
25.解:原式=32÷(﹣2)3﹣3×
=9÷(﹣8)﹣3×
=﹣2
=﹣3.
26.解:(1)(﹣4)﹣(﹣2)+(﹣9)+3.5
=(﹣4)+2+(﹣9)+3.5
=[(﹣4)+(﹣9)]+(2+3.5)
=(﹣14)+6
=﹣8;
(2)(﹣1)÷(0.75)×(﹣1)÷3×(﹣0.5)2
=(﹣1)××(﹣)××
=1××××
=;
(3)(﹣3)2﹣(1)3×﹣6÷
=9﹣×﹣6×
=9﹣﹣9
=﹣;
(4)(﹣3+﹣)×(﹣62)
=(﹣3+﹣)×(﹣36)
=×(﹣36)﹣3×(﹣36)+×(﹣36)﹣×(﹣36)
=(﹣18)+108+(﹣30)+21
=81.
27.解:﹣24÷﹣(﹣2)×4+1÷×(﹣2)
=﹣16÷+8+2×(﹣2)
=﹣+8﹣4
=﹣.