已知x-3分之x-2=x-3分之m

（1）y=x/x(x-1)*(x-1)²/(x-1)(x+1)-2/(x+1)=1/(x+1)-2/(x+1)=-1/(x+1)=1/3∴x+1=-3,x=-4即x=-4时,y=1/3（2）

A/(x-3)+1/(x+4)=[A(x+4)+(x-3)]/(x-3)(x+4)=(Ax+4A+x-3)/(x-3)(x+4)=[(A+1)x+(4A-3)]/(x-3)(x+4)∵(2x+1)/(

1/X(X+1)+1/(x+1)(x+2)+.+1/(x+99)(x+100)=1/x-1/(x+1)+1/(x+1)-1/(x+2)+.+1/(x+99)-1/(x+100)=1/x-1/(x+10

解题思路：先解方程求出x，再化简另一分式并把x值代入计算即可解题过程：解：经检验是原方程的解。

右边通分=[A(x-2)-B]/(x-2)²=[Ax+(-2A-B)]/(x-2)²=(x+3)/(x-2)²所以Ax+(-2A-B)=x+3A=1-2A-B=3所以A=

2-（X-1）/3=(1-X)/2+3-X(7-X)/3=(7-3X)/214-2X=21-9X7X=7X=1把X=1代入方程得4-K/3=0K=12

原式=[(1-1分之x+5)-(1-1分之x+4))+(1-1分之x+3)-(1-1分之x+2)]*[(x+3)(x+5)]\(x^2+7x+13)=[(1分之x+2)-(1分之x+3)+(1分之x+

已知分式4x^2-1分之6x^2+x-2的值为0,则x^-1=∵分式4x^2-1分之6x^2+x-2的值为0∴6x²+x-2=04x²-1≠0(3x+2)(2x-1)=0∴3x+2

由于A/(X+6)+B/(X-3)=(AX-3A+BX+6B)/(X+6)(X-3)=(2X+1)/(x+6)(x-3)所以,A+B=2,6B-3A=1,解得,A=11/9B=7/9

[(x+2)+1]/(x+2)-[(x+1)+1]/(x+1)=[(x+4)+1]/(x+4)-[(x+3)+1]/(x+3)1+1/(x+2)-1-1/(x+1)=1+1/(x+4)-1-1/(x+

x/(x^2+x+1)=-1/2即-2x=x^2+x+1x^2+3x+1=0(x-1)/(2x^2+x^3-1)/(x^2-x+1)=(x-1)/(2x^2+x^3-1)(x^2-x+1)=(x-1)

1题目是：x²/(x²-2)=3,求[1/(1-x)-1/(1+x)]/[x/(x²-1)+x]吧?如果是这样,那么由x²/(x²-2)=3得,x&#

x²-2分之x²=33x²-6=x²2x²=6x²=3(1-x分之1-1+x分之1)除以（x²-1分之x+x)=[(1-x)(1+

向量a乘以向量b=cos(3x/2)乘以cos(x/2)-sin(3x/2)乘以sin(x/2)=cos(3x/2+x/2)(余弦函数两角和公式）=cos2x因为x属于（0,π/2),则2x属于（0,

a=(cos3x/2,sin3x/2),b=(cosx/2,-sinx/2),(1)a*b=(cos3x/2,sin3x/2)*(cosx/2,-sinx/2)=cos(3x/2)*cos(x/2)-

不用也可以算(x^4+x^2+1)/x^2=x^4/x^2+x^2/x^2+1/x^2=x^2+1+1/x^2你说的不对这里没有x+1/x而是x^2+2+1/x^2这个是完全平方即x^2+2*x*1/

裂项相消：1/[x(x+1)]+1/[(x+1)(x+2)]+1/[(x+2)(x+3)]+...+1/[(x+2011)(x+2012)]=1/x-1/(x+1)+1/(x+1)-1/(x+2)+1

x-1=1-3^(1/2)

（1）原方程即为：(x2-1)/(-2x)+(x+1)/(2x-1)=0即为：(x2-1)/(2x)=(x+1)/(2x-1)即：(x+1)(x-1)(2x-1)=(2x)(x+1)双方除以（x+1）