13. 下列运算正确的是(
A.$(2y - x)(2y - x) = 4y^2 - x^2$
B.$(-2y + x)(2y - x) = -4y^2 - x^2$
C.$(2y + x)(2y - x) = -4y^2 - x^2$
D.$(-2y - x)(-2y + x) = 4y^2 - x^2$
D
).A.$(2y - x)(2y - x) = 4y^2 - x^2$
B.$(-2y + x)(2y - x) = -4y^2 - x^2$
C.$(2y + x)(2y - x) = -4y^2 - x^2$
D.$(-2y - x)(-2y + x) = 4y^2 - x^2$
答案
13. D
14. 声音的强弱用分贝表示. 通常讲话时的声音为50分贝,它表示声音的强度是$10^{5}$;摩托车发出的声音是110分贝,它表示声音的强度为$10^{11}$;喷气式飞机发出的声音是150分贝,它表示声音的强度是$10^{15}$.那么,喷气式飞机发出的声音的强度是摩托车声音强度的( )倍.
A.$10^{3}$
B.$10^{4}$
C.$10^{5}$
D.$10^{6}$
A.$10^{3}$
B.$10^{4}$
C.$10^{5}$
D.$10^{6}$
答案
14. B
15.一根绳子弯曲成如图1所示的形状.当用剪刀像图2那样沿虚线a把绳子剪断时,绳子被剪为5段;当用剪刀像图3那样沿虚线$b(b// a)$把绳子再剪一次时,绳子就被剪为9段.若用剪刀在虚线$a,b$之间把绳子再剪$(n-2)$次(剪刀的方向与$a$平行),一共剪$n$次可得绳子的段数是(

A.$4n+1$
B.$4n+2$
C.$4n+3$
D.$4n+5$
A
).A.$4n+1$
B.$4n+2$
C.$4n+3$
D.$4n+5$
答案
15. A
16. 计算下列各题.
(1) $(-a^{3})^{2} + (-a^{2})^{3} - a^{3}a^{2}$
(2) $( \dfrac{3}{4}ab^{2} - ab + \dfrac{2}{3}b )( -\dfrac{1}{2}ab )$
(3) $(3 × 10^{5})^{2} ÷ ( \dfrac{1}{3} × 10^{3} )$
(4) $(2x - 3)(x - 2)$
(5) $(4a^{3}b - 6a^{2}b^{2} + 12ab^{3}) ÷ 2ab$
(6) $10^{3} ÷ 10^{-2} × 10^{0} × ( \dfrac{1}{10} )^{2}$
(7) $2(x + 3)^{2} - (x - 3)(x + 3)$
(8) $(a + 1)^{2}(a - 1)^{2}(a^{2} + 1)^{2}$
(9) $(3mn + 1)(1 - 3mn) - 8m^{2}n^{2}$
(10) $(3x^{2}y^{2} + 4)(3x^{2}y^{2} - 4) - 9x^{4}y^{4}$
(11) $(a + b)^{2} - 2(a + b)(a - b) + (a - b)^{2}$
(1) $(-a^{3})^{2} + (-a^{2})^{3} - a^{3}a^{2}$
(2) $( \dfrac{3}{4}ab^{2} - ab + \dfrac{2}{3}b )( -\dfrac{1}{2}ab )$
(3) $(3 × 10^{5})^{2} ÷ ( \dfrac{1}{3} × 10^{3} )$
(4) $(2x - 3)(x - 2)$
(5) $(4a^{3}b - 6a^{2}b^{2} + 12ab^{3}) ÷ 2ab$
(6) $10^{3} ÷ 10^{-2} × 10^{0} × ( \dfrac{1}{10} )^{2}$
(7) $2(x + 3)^{2} - (x - 3)(x + 3)$
(8) $(a + 1)^{2}(a - 1)^{2}(a^{2} + 1)^{2}$
(9) $(3mn + 1)(1 - 3mn) - 8m^{2}n^{2}$
(10) $(3x^{2}y^{2} + 4)(3x^{2}y^{2} - 4) - 9x^{4}y^{4}$
(11) $(a + b)^{2} - 2(a + b)(a - b) + (a - b)^{2}$
答案
16. (1) $-a^5$
(2) $-\dfrac{3}{8}a^2b^3 + \dfrac{1}{2}a^2b^2 - \dfrac{1}{3}ab^2$
(3) $2.7 × 10^8$
(4) $2x^2 - 7x + 6$
(5) $2a^2 - 3ab + 6b^2$
(6) $10^3$
(7) $x^2 + 12x + 27$
(8) $(a^4 - 1)^2$
(9) $1 - 17m^2n^2$
(10) $-16$
(11) $4b^2$
(2) $-\dfrac{3}{8}a^2b^3 + \dfrac{1}{2}a^2b^2 - \dfrac{1}{3}ab^2$
(3) $2.7 × 10^8$
(4) $2x^2 - 7x + 6$
(5) $2a^2 - 3ab + 6b^2$
(6) $10^3$
(7) $x^2 + 12x + 27$
(8) $(a^4 - 1)^2$
(9) $1 - 17m^2n^2$
(10) $-16$
(11) $4b^2$
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