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数学;分式的加减
若b+ 1/c =1,c+ 1/a =1,问 ab+1/b 的值
已知y= x2+2x+1/x2-1 除 x+1/x2-x -x+1 试说明不论x为何值,y的值不变
第一题是;b+(1/c)=1,c+(1/a),问ab+1/b的值。
人气:416 ℃ 时间:2020-02-18 14:48:52
解答
b+1/c=1得b=1-1/c c+1/a=1得c=1-1/a (ab+1)/b =a+1/b =a+1/(1-1/c) =a+c/(c-1) =a+(1-1/a)/[(1-1/a)-1] =a+[(a-1)/a]/(-1/a) =a+[-(a-1)] =1y= x2+2x+1/x2-1 除 x+1/x2-x -x+1=(x+1)^2/[(x+1)(x-1)]*x(x-1)/(x+1) -x...
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