3道分式的运算题目1.如果分式(1/x)+(1/y)=1/(x+y),那么分式(y/x)+(x/y)的值为( )A.1 B.2 C.-1 D.-2不知道这样大家看不看得明白,真是抱歉!最好能把运算过程写详细点.2.(X的平方+2X)/(1+X)÷{X-[2/(X+1)]} (计算
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![3道分式的运算题目1.如果分式(1/x)+(1/y)=1/(x+y),那么分式(y/x)+(x/y)的值为( )A.1 B.2 C.-1 D.-2不知道这样大家看不看得明白,真是抱歉!最好能把运算过程写详细点.2.(X的平方+2X)/(1+X)÷{X-[2/(X+1)]} (计算](/uploads/image/z/1752144-24-4.jpg?t=3%E9%81%93%E5%88%86%E5%BC%8F%E7%9A%84%E8%BF%90%E7%AE%97%E9%A2%98%E7%9B%AE1.%E5%A6%82%E6%9E%9C%E5%88%86%E5%BC%8F%281%2Fx%29%2B%281%2Fy%29%3D1%2F%28x%2By%29%2C%E9%82%A3%E4%B9%88%E5%88%86%E5%BC%8F%28y%2Fx%29%2B%28x%2Fy%29%E7%9A%84%E5%80%BC%E4%B8%BA%28+%29A.1+B.2+C.-1+D.-2%E4%B8%8D%E7%9F%A5%E9%81%93%E8%BF%99%E6%A0%B7%E5%A4%A7%E5%AE%B6%E7%9C%8B%E4%B8%8D%E7%9C%8B%E5%BE%97%E6%98%8E%E7%99%BD%2C%E7%9C%9F%E6%98%AF%E6%8A%B1%E6%AD%89%21%E6%9C%80%E5%A5%BD%E8%83%BD%E6%8A%8A%E8%BF%90%E7%AE%97%E8%BF%87%E7%A8%8B%E5%86%99%E8%AF%A6%E7%BB%86%E7%82%B9.2.%EF%BC%88X%E7%9A%84%E5%B9%B3%E6%96%B9%2B2X%29%2F%281%2BX%29%C3%B7%7BX-%5B2%2F%28X%2B1%29%5D%7D+%28%E8%AE%A1%E7%AE%97)
3道分式的运算题目1.如果分式(1/x)+(1/y)=1/(x+y),那么分式(y/x)+(x/y)的值为( )A.1 B.2 C.-1 D.-2不知道这样大家看不看得明白,真是抱歉!最好能把运算过程写详细点.2.(X的平方+2X)/(1+X)÷{X-[2/(X+1)]} (计算
3道分式的运算题目
1.如果分式(1/x)+(1/y)=1/(x+y),那么分式(y/x)+(x/y)的值为( )
A.1 B.2 C.-1 D.-2
不知道这样大家看不看得明白,真是抱歉!最好能把运算过程写详细点.
2.(X的平方+2X)/(1+X)÷{X-[2/(X+1)]} (计算题)
3.已知(X的平方-4X+1)=0.求:(1)[X的平方+1/X的平方);
(2)X的平方/(X的4次方+X的平方+1)
各位对不起了,题目写得不清不楚的,
/这个是÷
3道分式的运算题目1.如果分式(1/x)+(1/y)=1/(x+y),那么分式(y/x)+(x/y)的值为( )A.1 B.2 C.-1 D.-2不知道这样大家看不看得明白,真是抱歉!最好能把运算过程写详细点.2.(X的平方+2X)/(1+X)÷{X-[2/(X+1)]} (计算
1、
(1/x)+(1/y)
= (x+y)/(xy)
= 1/(x+y)
所以:(x+y)^2 = xy(注:这道题的x和y要涉及到复数,在实数范围内(x+y)^2 = xy无解)
即:x^2 + y^2 = -xy
所以:(y/x)+(x/y) = (x^2+y^2)/xy = -xy/xy = -1
2、
X-[2/(X+1)]
= (x^2+x-2) / (x+1)
= [ (x-1)(x+2) ] / (x+1)
所以:
[(x^2+2x)/(x+1)]÷{X-[2/(X+1)]}
= [ x(x+2)/(x+1) ] × { (x+1)/[(x-1)(x+2)] }
= x/(x-1)
3、
(1)
x^2 - 4x + 1 = 0
显然x不等于0,两边同除以x,得:
x - 4 + (1/x) = 0
即:x + (1/x) = 4
[ x + (1/x) ]^2 = x^2 + 2 +(1/x^2) = 4^2 = 16
所以:x^2 + (1/x^2) = 16-2 = 14
(2)
先求倒数:
(x^4+x^2+1)/x^2
= x^2 + 1 + (1/x^2)
= 14 + 1 = 15
所以:
x^2/(x^4+x^2+1) = 1/15