急求初二的分式运算计算题50道,应用题不要,只要计算题,要带答案!
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急求初二的分式运算计算题50道,应用题不要,只要计算题,要带答案!
2 a+1-a+3 a2-4a-5÷a2-9 a2-3a-10.
解 原式=[x+2 x(x-2)-x-1(x-2)2]•x 4-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+x x(x-2)2•x4-x (整式运算)
=x-4x(x-2)2•x4-x (合并同类项)
=x-4 x(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+y x2-xy +(x2-y2 x)2•(1 y-x)3.
解 原式=x+y x(x-y)+(x+y)2(x-y)2x2•1(y-x)3
=x+y x(x-y)-(x+y)2 x2(x-y)
=x2+xy-x2-2xy-y2 x2(x-y)
=-xy-y2 x2(x-y)=-xy+y2 x2(x-y).
x-y+4xy x-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);
x x-y• y2 x+y-x4y x4-y4÷x2 x2+y2
答案-xy x+y
3x-2 x2-x-2+(1-1x+1)÷(1+1x-1)
答案x2 (x+1)(x-2);
(2x x+1+2 x-1+4x x2-1)×(2x x+1+2 x-1-4x x2-1).
答案4
(2m^2-4m)/(2-m)(m-1)-(1+m)/(1-m^2)
=2m(m-2)/(2-m)(m-1)-(1+m)/(1-m)(1+m)
=-2m/(m-1)-1/(1-m)
=(2m-1)/(1-m)
(-1)-a^2)/(a-1)-a
=(1-a-a^2-a^2+a)/(a-1)
=-(2a^2-1)/(a-1)
(5/x-1)-(3/x+2)+(3/x+3)-(5/x-2)
原式=[5(x+2)-3(x-1)]/(x-1)(x+2)-[5(x+3)-3(x-2)]/(x-2)(x+3)
=(2x+13)/(x²+x-2)-(2x+21)/(x²+x-6)
=[(2x+13)(x²+x-6)-(2x+21)(x²+x-2)]/(x²+x-6)(x²+x-2)
=(2x³+16x²+x-78-2x³-23x²-17x+42)/(x²+x-6)(x²+x-2)
=(-7x²-16x-36)/(x^4+2x³-7x²-8x+12)
就这些了.
再问: 不够,再来一些就给你分
再答: (1)1/6x-4y - 1/6x+4y +3x/4y^2-9x^2 =[6x+4y-(6x-4y)-12x]/(36x^2-16y^2) =(8y-12x)/(36x^2-16y^2) =4(2y-3x)/[4(3x+2y)(3x-2y)] =-1/(3x+2y) (2)1/1-x +1/1+x +2/1+x^2 +4/1+x^4 =2/(1-x^2)+2/(1+x^2)+4/(1+x^4) =4/(1-x^4)+4/(1+x^4) =8/(1-x^8) 1.(2x分之3) + 2 = 0 2.(x-1分之x) + (x+1分之2) =1 3.(x+1分之1) - (x²+3x+2分之x²)=-1 3/2x=-2 3=-4x x=-3/4 x/(x-1)+2/(x+1)=1 x(x+1)+2(x-1)=(x-1)(x+1) x^2+x+2x-2=x^2-1 3x=1 x=1/3 1/(x+1)-x^2/(x^2+3x+2)=-1 1/(x+1)-x^2/(x+1)(x+2)=-1 (x+2)/(x+1)(x+2)-x^2(x+1)(x+2)=-1 x+2-x^2=-(x+1)(x+2) x^2-x-2=x^2+3x+2 4x=-4 x=-1 拓展:原题=1-1/2+1/2-1/3....+1/99-1/100 =1-1/100 (2):根据(1)得: 1-1/2+1/2-1/3+.....+1/N-1/(N+1) =1-1/(N+1) 3.(1)1/1*2+1/2*3+1/3*4+...+1/99*100=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/99-1/100)=1-1/100=99/100 (2)1/1*2+1/2*3+1/3*4+...+1/n(n+1)==(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+[1/n-1/(n+1)]=1-1/(n+1)=n/(n+1) 就这么多了。实在不行也没办法!谢谢
解 原式=[x+2 x(x-2)-x-1(x-2)2]•x 4-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+x x(x-2)2•x4-x (整式运算)
=x-4x(x-2)2•x4-x (合并同类项)
=x-4 x(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+y x2-xy +(x2-y2 x)2•(1 y-x)3.
解 原式=x+y x(x-y)+(x+y)2(x-y)2x2•1(y-x)3
=x+y x(x-y)-(x+y)2 x2(x-y)
=x2+xy-x2-2xy-y2 x2(x-y)
=-xy-y2 x2(x-y)=-xy+y2 x2(x-y).
x-y+4xy x-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);
x x-y• y2 x+y-x4y x4-y4÷x2 x2+y2
答案-xy x+y
3x-2 x2-x-2+(1-1x+1)÷(1+1x-1)
答案x2 (x+1)(x-2);
(2x x+1+2 x-1+4x x2-1)×(2x x+1+2 x-1-4x x2-1).
答案4
(2m^2-4m)/(2-m)(m-1)-(1+m)/(1-m^2)
=2m(m-2)/(2-m)(m-1)-(1+m)/(1-m)(1+m)
=-2m/(m-1)-1/(1-m)
=(2m-1)/(1-m)
(-1)-a^2)/(a-1)-a
=(1-a-a^2-a^2+a)/(a-1)
=-(2a^2-1)/(a-1)
(5/x-1)-(3/x+2)+(3/x+3)-(5/x-2)
原式=[5(x+2)-3(x-1)]/(x-1)(x+2)-[5(x+3)-3(x-2)]/(x-2)(x+3)
=(2x+13)/(x²+x-2)-(2x+21)/(x²+x-6)
=[(2x+13)(x²+x-6)-(2x+21)(x²+x-2)]/(x²+x-6)(x²+x-2)
=(2x³+16x²+x-78-2x³-23x²-17x+42)/(x²+x-6)(x²+x-2)
=(-7x²-16x-36)/(x^4+2x³-7x²-8x+12)
就这些了.
再问: 不够,再来一些就给你分
再答: (1)1/6x-4y - 1/6x+4y +3x/4y^2-9x^2 =[6x+4y-(6x-4y)-12x]/(36x^2-16y^2) =(8y-12x)/(36x^2-16y^2) =4(2y-3x)/[4(3x+2y)(3x-2y)] =-1/(3x+2y) (2)1/1-x +1/1+x +2/1+x^2 +4/1+x^4 =2/(1-x^2)+2/(1+x^2)+4/(1+x^4) =4/(1-x^4)+4/(1+x^4) =8/(1-x^8) 1.(2x分之3) + 2 = 0 2.(x-1分之x) + (x+1分之2) =1 3.(x+1分之1) - (x²+3x+2分之x²)=-1 3/2x=-2 3=-4x x=-3/4 x/(x-1)+2/(x+1)=1 x(x+1)+2(x-1)=(x-1)(x+1) x^2+x+2x-2=x^2-1 3x=1 x=1/3 1/(x+1)-x^2/(x^2+3x+2)=-1 1/(x+1)-x^2/(x+1)(x+2)=-1 (x+2)/(x+1)(x+2)-x^2(x+1)(x+2)=-1 x+2-x^2=-(x+1)(x+2) x^2-x-2=x^2+3x+2 4x=-4 x=-1 拓展:原题=1-1/2+1/2-1/3....+1/99-1/100 =1-1/100 (2):根据(1)得: 1-1/2+1/2-1/3+.....+1/N-1/(N+1) =1-1/(N+1) 3.(1)1/1*2+1/2*3+1/3*4+...+1/99*100=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/99-1/100)=1-1/100=99/100 (2)1/1*2+1/2*3+1/3*4+...+1/n(n+1)==(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+[1/n-1/(n+1)]=1-1/(n+1)=n/(n+1) 就这么多了。实在不行也没办法!谢谢
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