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七年级的计算题和答案100道

2023-05-06 07:10:48 编辑:join 浏览量:559

七年级的计算题和答案100道

七年级的计算题和答案100道

计算:-9÷27/4×(-7)+4-4×(+4/3)

解:原式= 9×4/27×7+4-4×4/3

=4/3×7-4×4/3+4

=(7-4)×4/3+4

=4+4

=8

22/7×(22/7-22/3)×7/22÷22/21

解:原式=22/7×(22/7-22/3)×7/22×21/22

=22/7×7/22×(22/7-22/3)×21/22

=22/7×21/22-22/3×21/22

=3-7

=-4

(-1)^2011÷1/15+(-1/5)×(-5)^3

解:原式=(-1)÷1/15+(-1/5)×(-125)

=(-1)×15+1/5×125

= -15+25

=10

-12^56×[(-1)^1999-22/3×(9/22-6/11)]

解:原式=-12^56×[(-1)^1999-(22/3×9/22-22/3×6/11)]

=-12^56×[(-1)^1999-(3-4)]

=-12^56×(-1+1)

=0

1、3ab-5ab2+3a2b-4ab+2ab2-3ab

解:原式=(3ab-3ab)-4ab+(-5ab2+2ab2)+3a2b

=-4ab+(-5+2)ab2+3a2b

=-4ab+(-3)ab2+3a2b

=-4ab-3ab2+3a2b

2、2(2x-y)-3(2x-y)2+2x-y-5(2x-y)2

解:原式=2(2x-y)-3(2x-y)2+(2x-y)-5(2x-y)2

=[2(2x-y)+(2x-y)]+[-3(2x-y)2-5(2x-y)2]

=(2+1)(2x-y)+(-3-5)(2x-y)2

=3(2x-y)-8(2x-y)2

1、化简

(1) (2a+b)-(a-2b)

解:原式=2a+b-a+2b

=2a-a+b+2b

=(2-1)a+(1+2)b

=a+3b

(2) -3(a-2b)-2(2a-b)

解:原式=-3a+(-3)(-2b)+(-2)(2a)+(-2)(-b)

=-3a+6b-4a+2b

=(-3-4)a+(6+2)b

=-7a+8b

(3) -1/4(-4a+4b/3)-1/3(3a-2b)

解:原式=-[1/4•(-4a)+1/4•4b/3]-(1/3•3a-1/3•2b)

=-(-a+b/3)-(a-2b/3)

=a-b/3-a+2b/3

=(a-a)+(-1/3+2/3)b

=b/3

(4) 3x2y-2[3x2y-3(3xyz+2x2z)+x2z]-3xyz

解:原式=3x2y-2[3x2y-(9xyz+6x2z)+x2z]-3xyz

=3x2y-2(3x2y-9xyz-6x2z+x2z)-3xyz

=3x2y-2[3x2y-9xyz+(-6x2z+x2z)]-3xyz

=3x2y-2(3x2y-9xyz-5x2z)-3xyz

=3x2y-(6x2y-18xyz-10x2z)-3xyz

=3x2y-6x2y+18xyz+10x2z-3xyz

=-3 x2y+15xyz+10x2z

2、若A=3x2y+4xy2,B=2xy2-x2y,求-2A-3B

解:-2A-3B=-2(3x2y+4xy2)-3(2xy2-x2y)

=-(6x2y+8xy2)-(6xy2-3x2y)

=-6x2y-8xy2-6xy2+3x2y

=(-6x2y+3x2y)+(-8xy2-6xy2)

=-3x2y-14xy2

3、先化简再求值:若|x+1|+(y-1/3)2=0,求8xy-2{xy+3[3x4y-2(x4y+2xy)+5xy]-2x4y}的值

解:化简:原式=8xy-2{xy+3[3x4y-(2x4y+4xy)+5xy]-2x4y}

=8xy-2[xy+3(3x4y-2x4y-4xy+5xy)-2x4y]

=8xy-2[xy+3(x4y+xy)-2x4y]

=8xy-2(xy+3x4y+3xy-2x4y)

=8xy-2(4xy+x4y)

=8xy-8xy-2x4y

=-2x4y

由|x+1|+(y-1/3)2=0,得

x=-1,y=1/3

将x=-1,y=1/3代入-2x4y,得

-2×(-1)4×1/3=-2/3

所以,原式=-2/3

4、有一道题:求两个多项式的差。小刚错把2a2b-3ab2当作被减数,解得差为-a2b,求正确的差。

解:设A=2a2b-3ab2,C=-a2b,另外一个多项式为B

小刚列的式子为:A-B=C,所以B=A-C

B=(2a2b-3ab2)-(-a2b)

=2a2b-3ab2+a2b

=3a2b-3ab2

正确的差应为:

B-A=(3a2b-3ab2)-(2a2b-3ab2)

=3a2b-3ab2-2a2b+3ab2

= a2b

(别解:因为a-b与b-a是相反数,小刚将被减数和减数搞反了,所以得到的差是正确的差的相反数,因此,正确的差为-(-a2b)= a2b)

标签:七年级,计算题

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