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1、4.(2012春?靖江市校級期中)A.15a2+5a=5a(3a+l)B.C.ax+x+ay+y二(a+l)(x+y)5.(2012春?沿灘區(qū)校級月考)A.(x+y+1)(x-y-1)B.(x+y-1)(x-y+1)C.(x+y?1)(x+y+1)D.(x-分組分解法的初中數(shù)學(xué)組卷一.選擇題(共16小題)1.(2014秋?白城校級期屮)分解因式x2-m2+4mn-4n2等于()A-(x+m+2n)(x-m+2n)B.(x+m-2n)(x-m+2n)C.(x-m-2n)(x-m+2n)D.(x+m+2n)(x+m-2n)2.(2014秋?白城校級期中)下列各式按如下方法分組后,不能
2、分解的是()A-(2ax-10ay)+(5by-bx)B.(2ax-bx)+(5by-lOay)C.(x2-y2)+(ax+ay)D.(x2+ax)-(y2-ay)3.(2014秋?白城校級期中)多項式J-10xy+25y2+2(x-5y)-8分解因式的結(jié)果是()C.(x-5y-4)(x-5y-2)A.(x-5y+l)(x-5y-8)B.(x-5y+4)(x-5y-2)D.(x-5y-4)(x-5y+2)卜-列分解因式錯課的是()-x2+y2=(y+x)(y-x)D.-a~-4ax<4x^=-a(a*4x)+4x把x2?y2+2y-1分解因式結(jié)果」E確的是(y+1)(x+y+1)
3、6.(2011春?邵陽校級月考)下列四個等式屮錯課的是()A-1-a-b+ab=(1-a)(1-b)B?1+a+b+ab二(1+a)(1+b)C.1-a+b+ab=(1-a)(1+b)D.1+a-b-ab=(1+a)(1-b)7.(2010?自貢)把x2-y2-2y-1分解因式結(jié)果正確的是()A.(x+y+1)(x-y-1)B.(x+y-1)(x-y-1)C.(x+y-1)(x+y+1)D.(x-y+1)(x+y+1)8.(2009?玉山縣模擬)分解因式a2-b2+4bc-4c2的結(jié)果是()A.(a-2b+c)(a-2b-c)B.(a+2b-c)(a-2b+c)C.(a+b-2c
4、)(a-b+2c)D.(a+b+2c)(a-b+2c)9.把多項式a3+2a2b+ab2-a分解因式正確的是()A.(a2+ab+a)(a+b+1)B.a(a+b+1)(a+b-1)C.a(az+2ab+b-1)D.(a"+ab+a)(a+ab-a)10.下列多項式已經(jīng)進(jìn)行了分組,能接下去分解因式的有()(1)(m3+m2-m)-1;(2)-4b2+(9a2-6ac+c2);(3)(5x+6y)+(15x+2xy);(4)(x?y)+(mx+my)A.1個B.2個C.3個D.4個11.將多項式x2+2xy+y2-2x-2y+l分解因式,止確的是()A.(x+y)2B.(x+y-1
5、)2C.(x+y+1)2D.(x-y-1)212.下列多項式中,不能用分組分解法分解因式的是()A-5x+mx+5y+myB?5x+mx+3y+myC.5x-mx+5y-myD.5x-mx+lOy-2my13.分解因式4-x2+2x3-x°,分組合理的是()A.(4-x2)+(2x3-x4)B.(4-x2-x4)+2x3C.(4-x4)+(-x2+2x3)D.(4-x+2x)-x14.把x?(x+1)-y(xy+x)分解因式為()A.x(x-y)(x+y+1)B.x(x+y)(x-y+1)C.x(x-y)(x-y-1)D.x(x-y)(x+y-1)6.把多項式2xy-x2-y2+
6、1分解因式是()A.(x-y+l)(y-x+l)B.(x-y-1)(y-x+1)C.(x-y-1)(x-y+1)D.(x-y+1)(x-y+1)7.多項式x2y-y2z-?z2x-x2z-iy2x+z2y-2xyz因式分解后的結(jié)果是()A.(y-z)(x+y)(x-z)B.(y-z)(x-y)(x+z)C.(y+z)(x-y)(x+z)D.(y+z)(x+y)(x-z)二.填空題(共14小題)8.(2016*壽光市模擬)分解因式:1-x^2xy-y2=.9.(2016*黃岡模擬)分解因式:1?x?+4xy?4『=?10.(2016?黃岡模擬)分解因式:y2-4-2xy+x2=.1
7、1.(2016*黃浦區(qū)三模)因式分解:x2-y2+x+y=.12.(2016*溫州二模)因式分解:a2-2a+l-b2=.13.(2016春?欽州期末)分解因式:a2-6a+9-b2=.23?(2016春?潛江校級月考)分解因式2xy+『?4x+4y+3二?24.(2015?濡水縣校級模擬)分解因式:1?a2+2ab?b?=.25.(2015*遵義模擬)分解因式:n2-2n+l-m2=.26.(2015秋?莒縣期末)將xy?x+y?1因式分解,其結(jié)果是?27.(2015春?醴陵市