中考数学专题复习卷 因式分解（含解析）

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1、因式分解一、选择题1.下列各式中，不含因式a+1的是（  ）A. 2a2+2a                             B. a2+2a+1                             C. a2﹣1                             D. 2.下列因式分解错误的是（  ）A. 2x（x﹣2）+（2﹣x）=（x﹣2）（2x+1）          B. x2+2x+1=（x+1）2C. x2y﹣xy2=xy（x﹣y）                                        D. x2﹣

2、y2=（x+y）（x﹣y）3.下列因式分解中，正确的个数为（  ）①x3+2xy+x=x（x2+2y）；②x2+4x+4=（x+2）2；③﹣x2+y2=（x+y）（x﹣y）A. 3个                                       B. 2个                                       C. 1个                                       D. 0个4.若x=1，，则x2+4xy+4y2的值是（  ）A. 2                            

3、               B. 4                                           C.                                            D. 5.化简:(a+1)2-(a-1)2=(  )A. 2                                        B. 4                                        C. 4a                                        D. 2a2+26.下列因式

4、分解正确的是(  )A. (x-3)2-y2=x2-6x+9-y2                                       B. a2-9b2=(a+9b)(a-9b)C. 4x6-1=(2x3+1)(2x3-1)                                       D. -x2-y2=(x-y)(x+y)7.若代数式x2+ax可以分解因式，则常数a不可以取（  ）A. ﹣1                                          B. 0                        

5、                  C. 1                                          D. 28.下列各多项式中,不能用平方差公式分解的是(    ).A. a2b2－1                           B. 4－0.25a2                           C. －a2－b2                           D. －x2+19.分解因式x2y﹣y3结果正确的是（  ).A. y(x+y)2                         B. y(x-y

6、)2                                    C. y(x2-y2)                         D. y(x+y)(x-y)10.边长为a、b的长方形周长为12,面积为10,则的值为(   )A. 120                                        B. 60                                        C. 80                                        D. 4011.如果2x2+mx﹣2可因式分解

7、为（2x+1）（x﹣2），那么m的值是（  ）A. ﹣1                                         B. 1                                         C. ﹣3                                         D. 312.下列各式从左边到右边的变形是因式分解的是（  ）A.          B.          C.          D. 二、填空题13.分解因式：x2﹣16=________．14.两个多项式①a2+2ab+b2，②a2﹣

8、b2的公因式是________15.分解因式：x2﹣2x+1=__