内容正文:
2023-2024学年八年级数学上学期复习备考高分秘籍【人教版】
专题2.11整式的混合运算大题培优专练(50题)
班级:_____________ 姓名:_____________ 得分:_____________
一.解答题(共50小题)
1.(2023秋•西城区校级期中)计算:
(1)4x2•(﹣3x)2;
(2)(2m﹣3)(m+5);
(3)(4a3+12a2b﹣7a3b2)÷4a2;
(4)2xy(x2﹣3y2)﹣4xy(2x2+y2).
2.(2023秋•西城区校级期中)计算:
(1);
(2)(3n﹣2)(n+5);
(3)(﹣x﹣2y)(﹣x﹣2y);
(4)(2x3y2﹣3x2y2+6xy)÷(2xy).
3.(2023秋•如皋市期中)计算:
(1)(﹣2a)3•b6÷(2ab2)2;
(2)(x+1)(x2﹣x+1).
4.(2023秋•西城区校级期中)计算:
(1)a2(2ab﹣1)+(a﹣3b)(a+b);
(2)(2x﹣3)2﹣(x+2)2.
5.(2023秋•海门市期中)计算:
(1)(4x﹣3y)2;
(2)(x+y+1)(x+y﹣1);
(3)(2x+3y)2﹣(2x+y)(2x﹣y);
(4)(﹣x2y5)•(xy)3.
6.(2023秋•东城区期中)计算:
(1)28x4y2÷7x3y;
(2)x•x3+(﹣x2)2;
(3)(2a+b)(a﹣2b)﹣3a(2a﹣b).
7.(2023秋•西城区校级期中)计算:
(1)(x﹣1)(x+3)﹣2x2;
(2)(x﹣2)2+x(x﹣3).
8.(2023秋•西城区校级期中)计算:
(1)(﹣2x)2•x•(x3)2;
(2)(x+3)2﹣(x+2)(x﹣2).
9.(2022秋•天山区校级期末)计算:
(1)4a4b3÷(﹣2ab)2;
(2)(3x﹣y)2﹣(3x+2y)(3x﹣2y).
10.(2022秋•浏阳市期末)计算:
(1)(a2)3•(a2)4÷(a2)5;
(2)(x﹣1)(x+3)+(x﹣1)2.
11.(2023秋•海口期中)计算:
(1);
(2)(9x2y3﹣27x3y2)÷(﹣3xy)2;
(3)9(a﹣1)2﹣(3a+2)(3a﹣2);
(4)20232﹣2024×2022(用简便方法计算).
12.(2023秋•东城区校级期中)计算:
(1)a3•a+(﹣a2)3÷a2;
(2)(6x4y3﹣8x3y2+9x2y)÷(2xy).
13.(2023秋•渝中区校级期中)计算:
(1)(﹣a2)3+(﹣2a3)2﹣a3•a2.
(2)[(x+2y)(x﹣2y)+4(x﹣y)2]+6x.
14.(2023秋•西城区校级期中)计算:
①3a•a2+a3•a2;
②(2x)3•(﹣5xy2);
③(3x+1)(x+2);
④(﹣2ab2)2•(3ab﹣a2•4b).
15.(2023秋•青秀区校级期中)计算:
(1)(﹣a2)3+2a2•a4.
(2)(x+1)(x+3)﹣(x+2)(x﹣2).
16.(2023秋•旅顺口区期中)计算:
(1)(3x2y﹣6xy)÷3xy;
(2)(a+b+2)(a+b﹣2).
17.(2023秋•道里区校级月考)计算
(1)2ab2•(﹣3ab);
(2)(36x3﹣24x2+2x)÷4x;
(3)(2x+y+1)(2x﹣y﹣1);
(4)(﹣3ax)2(5a2﹣3ax2).
18.(2023春•栾城区校级期中)计算:
(1)(﹣2a2b)3•(ab2c)÷a4;
(2)(2xy2)(﹣3xy2)+(5xy3)(﹣xy);
(3)(3x+2)(x+1)+2(x﹣3)(x+2).
19.(2023秋•西城区校级期中)计算:
(1)a3•a4•a+(a2)4+(﹣2a4)2;
(2)(x﹣8y)(x﹣y);
(3);
(4)998×1002.
20.(2023秋•鼓楼区校级期中)计算:
(1)1112+222×889+8892;
(2)(a+3)(a﹣2)﹣(a3+a2)÷a.
21.(2023秋•天心区期中)计算:
(1)(a2b3)4÷(ab3)2;
(2)0.252023×42024;
(3)(5a+2)(2a﹣1);
(4)(2a+3)2﹣(2a+1)(2a﹣1).
22.(2023•新田县校级开学)计算:
(1);
(2)(﹣a)3•a2+(2a4)2+a3;
(3)(x﹣2y)2﹣(3x+y)(3x﹣y);
(4)(a﹣2b﹣c)(a+2b﹣c).
23.(2023秋•海淀区校级期中)计算:
(1)6x2•3xy;
(2)(3x+1)(x﹣2);
(3)(6x4﹣9x3)÷3x2.
24.(2023秋•二道区期中)计算:
(1)20232﹣2024×2022;
(2).