初二分式混合运算题一共8道,4道加减混合的,4道乘除混合的,计算题,最好不要是增根
初二分式混合运算题
一共8道,4道加减混合的,4道乘除混合的,计算题,最好不要是增根
初二分式混合运算题一共8道,4道加减混合的,4道乘除混合的,计算题,最好不要是增根
初二分式混合运算题
一共8道,4道加减混合的,4道乘除混合的,计算题,最好不要是增根
(1)已知1/x-1/y=3,求x-3xy-y/2x+3xy-2y的值
(2)已知x+1/x=3,求x^2/x^4+x^2+1的值
(3)已知x/3=y/4=z/6≠0,求x+y-z/x-y+z的值
(4)计算:1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)(提示:应用拆项相消法,每一项都可拆成A-B/AB=1/B-1/A)2a+1-a+3a2-4a-5÷a2-9a2-3a-10.
解原式=[x+2x(x-2)-x-1(x-2)2]?x4-x(括号内分式的分母中的多项式式分解因式.分式的除法法则)
=[(x+2)(x-2)x(x-2)2-x(x-1)x(x-2)2]?x4-x(异分母的分式减法的法则)
=x2-4-x2+xx(x-2)2?x4-x(整式运算)
=x-4x(x-2)2?x4-x(合并同类项)
=x-4x(x-2)2?(-xx-4)(分式的符号法则)
=-1(x-2)2.(分式的乘法法则)
计算x+yx2-xy+(x2-y2x)2?(1y-x)3.
解原式=x+yx(x-y)+(x+y)2(x-y)2x2?1(y-x)3
=x+yx(x-y)-(x+y)2x2(x-y)
=x2+xy-x2-2xy-y2x2(x-y)
=-xy-y2x2(x-y)=-xy+y2x2(x-y).
x-y+4xyx-y)(x+y-4xyx+y)
答案x2-y2
[1(a+b)2-1(a-b)2]÷(1a+b-1a-b)
答案2a(a+b)(a-b);
xx-y?y2x+y-x4yx4-y4÷x2x2+y2
答案-xyx+y
3x-2x2-x-2+(1-1x+1)÷(1+1x-1)
答案x2(x+1)(x-2);
(2xx+1+2x-1+4xx2-1)×(2xx+1+2x-1-4xx2-1).