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首页 因式分解习题15221973

因式分解习题15221973.doc

因式分解习题15221973

sarah倩夏天
2017-09-28 0人阅读 举报 0 0 暂无简介

简介:本文档为《因式分解习题15221973doc》,可适用于高等教育领域

因式分解习题因式分解练习题(pq)pq(m((mn)(mn)n(mn)(((xy)xxy((a(abbcac)abc((abab((xyzxyxzxyzyz((xyxyxy((abc(abc)abcabc(((abc)(abc)(bca)(bca)((a(bc)b(ca)c(ab)(a(ab)(ab)a(ab)(((xx)x(x)(公式法(acdcaad(((xy)(yx)zz((xaxabb((abcdabcdabcd(((axby)(aybx)(axby)(aybx)(((a)(b)(a)(b)((xy(((x)(x)(((xpq)(pq)x(((xy)(xy)((ab(ab)((ab(abc)(((cab)ab(((xbya)(abxy)((a(x)b(x)((abacaca((acabbc(nn(xy(((xy)(((mn)(mn)(((x)(x)((ab(((zx)(yz)(((mn)(mn)((x(xy)y(yx)(((xy)(((a)(b)(((abc)abc((xxyy((xyxy((xx((xx((xx((xx((mm((xxyy((xxx((aabab((xxx(nknkk(aaa((xxyy((mm(答案((pq)(m)(m)(((mn)((y(xy)((a(bc)(((b)(a)(((x)(y)(z)(提示:方法一原式=x(yzyz)(yzyz)=(yzyz)(x)=y(z)(z)(x)=(x)(y)(z)(方法二原式=xy(z)x(z)y(z)(z)=(xyxy)(z)=x(y)(y)(z)=(x)(y)(z)(((xy)(xy)(xxyy)(提示:方法一原式=x(xy)y(xy)=(xy)(xy)=(xy)(xy)(xxyy)(方法二原式=x(xy)y(xy)=(xy)(xy)=(xy)(xy)(xxyy)((abc(bc)(提示:原式=abc(abcabc)(((bc)(abc)(提示:原式=(abc)(abc)(abc)(bca)=(abc)(abc)(bca)=(bc)(abc)(((ab)(bc)(ac)(提示:原式=abacbcabc(ab)=(abab)(acbc)c(ab)=ab(ab)c(ab)c(ab)=(ab)abc(ab)c=(ab)a(bc)c(bc)=(ab)(bc)(ac)(提示:原式=a(ab)ab(ab)=a(ab)(b)=ab(ab)((x)(提示:原式=x(x)x(x)=x(x)=(xx)=(x)((a(cd)(((xyz)(((xb)(xab)((((abcd)提示:原式=(ababcdcd)(abcd)=(abcd)(abcd)=(abcd)(((axbyaybx)(((a)(a)(b)(b)(abab)(((xy)(xy)(xy)(((x)(x)(((xpxqxpq)(xpxqxpq)(((xy)(xy)(xyxy)(((ab)(ab)(((abc)(abc)(cab)(cab)(提示:原式=(ababc)(ababc)=(ab)cc(ab)=(abc)(abc)(cab)(cab)(((cab)(cab)(cab)(cab)(((xyab)(xyab)(xyab)(xyab)(提示:原式=(xbyaabxy)(xbyaabxy)=(xxyy)(aabb)(xxyy)(aabb)=(xy)(ab)(xy)(ab)=(xyab)(xyab)(xyab)(xyab)(((x)(abxb)(abxb)((a(bc)(bc)(提示:原式=a(bcc)=a(bcbbcc)=a(bc)(bc)(bc)(bc)=a(bc)(bc)(((ac)(acb)(nnnnnn((xy)(xxyy)(((xy)(xxyyxy)((mn(nm)(mn)(提示:原式=(mn)(mn)=(mn)(mn)(mn)(mn)=m(mn)(mn)(mn)(mn)×{n(mn)(mn)(mn)(mn)}=mn(mn)(mn)((x(x)(x)(提示:原式=(x)(x)=(x)(x)(x)(x)=x(x)(x)(x)(x)×(x)(x)(x)(x)=x(x)(x)(((ab)(ab)(ab)(aabb)(aabb)(aabb)(提示:原式=(a)(b)=(ab)(ab)=(a)(b)(a)(b)=(ab)(aabb)(ab)(ab)(((xy)(xyzxyyzxz)((m(mn)(((xy)(xy)(xxyy)(xxyy)(提示:原式=(xy)(xy)=(xy)(xy)(xy)(xy)(((xy)(xxyyxy)(((ab)(aabbab)(((bc)(ab)(ca)(提示:原式=(abc)a(bc)(((xy)(xy)(((xy)(xy)(((x)(x)(((x)(x)(((x)(x)(((x)(x)(x)(((m)(m)(m)(((xy)(xy)(xy)((x(x)(x)(x)((a(ab)(ab)((x(x)(xx)(x)(xx)(提示:原式=x(xx)=x(x)(x)=x(x)(xx)(x)(xx)(knn(a(a)(a)(((xy)(xy)(((m)(m)(m)(一、填空题:((a,)(,a)=(,a)(,a)(若m,m=(ma)(mb)则a=b=(当m=时x(m,)x是完全平方式(二、选择题:(下列各式的因式分解结果中正确的是A(abab,b,b(aa)B(xy,xy,y=y(x,)(x)C(xyz,xy,xyz(,xy)D(,aab,ac,,a(ab,c)(多项式m(n,),m(,n)分解因式等于A((n,)(mm)B((n,)(m,m)C(m(n,)(m)D(m(n,)(m,)(在下列等式中属于因式分解的是A(a(x,y)b(mn),axbm,aybnB(a,abb=(a,b)C(,ab,(,ab)(ab)D(x,x,=x(x,),(下列各式中能用平方差公式分解因式的是A(abB(,abC(,a,bD(,(,a)b(若xmxyy是一个完全平方式那么m的值是A(,B(C(D((把多项式an,an分解得A(an(a,a)B(an(a,)C(an(a,)(a,a)D(an(a,)(aa)(若aa,,则aa,a,a的值为A(B(C(D((已知xyx,y=那么xy的值分别为A(x=y=B(x=y=,C(x=,y=D(x=y=,(把(mm),(mm)分解因式得A((m)(m)B((m,)(m,)(mm,)C((m)(m,)D((m)(m)(mm,)(把x,x,分解因式得A((x,)(x)B((x)(x,)C((x)(x,)D((x,)(x)(把x,xy,y分解因式得A((x)(x,)B((x,)(x)C((xy)(x,y)D((x,y)(xy)(把aab,b分解因式得A((a)(a,)B((a,b)(a,b)C((ab)(a,b)D((a,b)(ab)(把x,x分解因式得A((x,)(x,)B((x,)(x)(x,)C((x)(x)D((x)(x)(x,)(多项式x,ax,bxab可分解因式为A(,(xa)(xb)B((x,a)(xb)C((x,a)(x,b)D((xa)(xb)(一个关于x的二次三项式其x项的系数是常数项是,且能分解因式这样的二次三项式是A(x,x,或xx,B(x,x,或xx,C(x,x,或xx,D(以上都可以(下列各式x,x,xxy,xy,xx,x,y(xx),(x)中不含有(x,)因式的有A(个B(个C(个D(个(把,xxy,y分解因式为A((x,y)(x,x,)B(,(x,y)(x,y,)C(,(x,y)(xy,)D(,(x,y)(x,y)(下列因式分解错误的是A(a,bcac,ab=(a,b)(ac)B(ab,ab,=(b,)(a)C(xxy,x,y=(xy)(x,)D(x,xy,y=(xy)(xy,)(已知axxb是完全平方式且ab都不为零则a与b的关系为A(互为倒数或互为负倒数B(互为相反数C(相等的数D(任意有理数(对x进行因式分解所得的正确结论是A(不能分解因式B(有因式xxC((xy)(xy,)D((xy,)(xy,)(把aabb,ab分解因式为A((abab)B((abab)(ab,ab)C((a,bab)(a,b,ab)D((ab,ab)(,(x,)(xy)是下列哪个多项式的分解结果A(xxy,x,yB(x,xyx,yC(xyxxyD(xy,x,xy(a,b因式分解为A((a,b)(ab)B((a,b)(ab)C((a,b)(ab)D((a,b)(ab)((x,y)(x,y)(xy)因式分解为A((x,y)B((xy)C((x,y)(xy)D((x,y)((y,x),(x,y)因式分解为A((x,y,)B((xy)C((x,y)D((y,x,)(把(ab),(a,b)(a,b)分解因式为A((a,b)B((ba)C((b,a)D((ab)(把a(bc),ab(a,c)(bc)b(a,c)分解因式为A(c(ab)B(c(a,b)C(c(ab)D(c(a,b)(若xy,x,y,k有一个因式为(,xy)则k的值为A(B(C(,D((分解因式ax,by,bxay正确的是A(,(ab)(xy)B((a,b)(ab)(xy)C((ab)(x,y)D((a,b)(ab)(x,y)(分解因式aabb,c正确的是A((ab,c)B((abc)(ab,c)C((abc)(ab,c)D((abc)(ab,c)三、因式分解:(m(p,q),pq(a(abbcac),abc(x,y,xyxy(abc(abc),abcabc(a(b,c)b(c,a)c(a,b)((x,x)x(x,)((x,y)(y,x)zz(x,axab,b((axby)(ay,bx)(axby)(ay,bx)((,a)(,b),(a,)(b,)((x),(x,)(ab,(ab,c)(ab,acac,a(xnyn((xy)((m,n)(mn)(x(x,y)y(y,x)((xy)((abc),a,b,c(xxyy(xx,(xx,(,mm,(x,x,x(xx,x((x,x)(x,x),((a),(a)((xx)(xx,),(xy,xy,xy,((x,)(x,)(x,)(x,),(x,y,x,y(ax,bx,bxax,ab(mm(a,bacc(a,aba,b(b,(a,b)(x,yxy,xy(xxyy,x,y,(m,aab,b(m,n,mmn,n(四、证明(求值):(已知ab=求a,bab,ab的值((求证:四个连续自然数的积再加上一定是一个完全平方数((证明:(ac,bd)(bcad)=(ab)(cd)((已知a=kb=kc=k,求abcab,bc,ac的值((若xmxn=(x,)(x)求(mn)的值((当a为何值时多项式xxyay,xy,可以分解为两个一次因式的乘积((若xy为任意有理数比较xy与xy的大小((两个连续偶数的平方差是的倍数(参考答案:一、填空题:((a,)(x,yx,yx,ya,b(,(,,(或,,)(bcacaba,c(或,二、选择题:(B(C(C(B(B(D(A(C(D(B(C(C(B(C(D(B(B(D(A(B(B(D(C(A(A(C(C(C(D(D三、因式分解:((p,q)(m,)(m)(((x,b)(x,ab)(((x,)(,x)(((xy)(xy)(((x,)(x)(((a)(,a)(((xy)(x,y,)(((xy,)(xy)(四、证明(求值):(提示:设四个连续自然数为nnnn(提示:a=,(a=,(

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