乘法公式和因式分解作业-2025-2026学年高一上学期数学初高衔接

乘法公式因式分解作业 一、选择题 1.下列分解因式中，错误的是 A.1-9x2=(1+3x)1-3x) -a+- C.-m+my =-m(x+y) D.ax-ay -bx+by =(x-y)(a-b) 2.把多项式2y-x2-y2+1分解因式的结果是 A.(x-y+1)(y-x+1) B.(x+y-1)(y-x+1) C.(x+y-1)(x-y+1) D.(x-y+1)(y-x-1) 3.若ax2+24x+b=(mx-3)2则m,a,b的值是 A.m=-4,a=16,b=9 B.m=-4,a=-16,b=-9 C.m=-8,a=64,b=9 D.m=4,a=16,b=9 二、计算题 4.分解因式： (1)x2-12x+20= (2)6x2-7x-5= (3)2x2-5x+3= (4)7x2-19x-6= (5)12x2-11xy-15y2= (6)-20y+64y2+x2= (7)4x2+24xy+27y2= (8)y-1-x+y= 5.分解因式： (1)x2-a2+x-a (2)m2-n2+2n-1 (3)x2+y2-9z2-1-2xy-6z (4)4(x-y+1)+y(y-2x) 6.分解因式： 0x3+x2-y3-y2. 2)ab(c2-d2)-(a2-b2)cd 答案 1.C2.A3.A 4.(1)(x-2)(x-10) (2)(2x+1)(3x-5) (3)(x-1)(2x-3) (4)(x-3)(7x+2) (5)(3x-5y)(4x+3y) (6)(x-4y)(x-16y) (7)(2x+3y)(2x+9y)(8)(x+1)(y-1) 5.(1)(x-a)(x+a+1) (2)(m+n-1)(m-n+1) (3)(x-y+3z+1)(x-y-3z-1) (4)(y-2)(y-2x-2) 6. (1)(x-y)x2+y+y2+x+y) (2)=abc 2-abd 2-a'cd b'cd (abc2-a'cd)+(b2cd-abd2) ac(be-ad)+bd (bc -ad)=(ac+bd)(bc-ad). -2-