1、2.2.1合并同类项一选择题1下列各式中,是3a2b的同类项的是()A2x2yB-2ab2Ca2bD3ab2如果2x2y3与x2yn+1是同类项,那么n的值是()A1B2C3D43计算-a2+3a2的结果为()A-2a2B2a2C4a2D-4a24下列计算正确的是()A3a2-2a2=1B5-2x3=3x3C3x2+2x3=5x5Da3+a3=2a3来源:学科网ZXXK5当a=-5时,多项式a2+2a-2a2-a+a2-1的值为()A29B-6C14D246如果x2+xy=2,xy+y2=1,则x2+2xy+y2的值是()A0B1C2D3二填空题7若代数式3a5bm与-2anb2是同类项,那么
2、m=,n=,m+n=8如果a3bx与-5a2yb4是同类项,则这两个同类项合并的结果是9当x=-2时,代数式-x2+2x-1=,x2-2x+1=10如果x4+y4=25,x2y-xy2=-6,则x4-y4+3xy2-x2y-2x2y+2y4=三解答题11合并同类项(1)4a2+3b2-2ab-3a2-5b2;(2)3xy2-5xy+0.5x2y-3xy2-4.5x2y;(3)3x3+x3;(4)xy2xy2;(5)4a2+3b2+2ab4a24b2来源:学科网12先化简,再求值:2x+7+3x-2,其中x=2答案:1C2B解析:2x2y3与x2yn+1是同类项,n+1=3,解得:n=23B解析
3、:原式=(-1+3)a2=2a24D5B解析:原式=a-1,当a=-5时,原式=-5-1=-66D解析:x2+2xy+y2=x2+xy+xy+y2,而x2+xy=2,xy+y2=1,x2+2xy+y2=x2+xy+xy+y2=2+1=372,5,7解析:3a5bm与-2anb2是同类项,m=2,n=5,则m+n=2+5=7来源:学科网ZXXK8-4.5a3b49-9,9解析:-x2+2x-1=-(x2-2x+1)=-(x-1)2,当x=-2时,-x2+2x-1=-9;x2+2x-1=(x-1)2,当x=-2时,x2-2x+1=91043解析:当x4+y4=25,x2y-xy2=-6时,原式=x4+y4+3xy2-3x2y=x4+y4-3(x2y-xy2)=25-3(-6)=25+18=4311解:(1)原式=a2-2b2-2ab;(2)原式=-5xy-4x2y(3)原式=(3+1)x3=4x3(4)原式=(1-)xy2=xy2(5)原式=(4-4)a2+(3-4)b2+2ab=-b2+2ab来源:Zxxk.Com12解:原式=5x+5,当x=2时,原式=52+5=15来源:学科网