共50条信息
\((1)\)已知\(x-\dfrac{1}{x}=3\)，则\({{x}^{2}}+\dfrac{1}{{{x}^{2}}}\) \(=\)______________；
\((2)\)已知\(\dfrac{1}{x}- \dfrac{1}{y}=3 \)，则代数式\(\dfrac{2x-14xy-2y}{x-2xy-y} \)的值为___________。
当\(a=2017\)时，分式\(\dfrac{{{a}^{2}}-9}{a-3}\)的值是 ．
若记\(y=f(x)=\dfrac{x^{2}}{1{+}x^{2}}\)，则\(f(1)\)表示当\(x=1\)时\(y\)的值，即\(f(1)=\dfrac{1^{2}}{1{+}1^{2}}=\dfrac{1}{2}\)；\(f\left( \dfrac{1}{2} \right)\)表示当\(x=\dfrac{1}{2}\)时\(y\)的值，即\(f\left( \dfrac{1}{2} \right){=}\dfrac{\left( \dfrac{1}{2} \right)^{2}}{1{+}\left( \dfrac{1}{2} \right)^{2}}{=}\dfrac{1}{5}……\)求\(f(1)+f(2)+f\left( \dfrac{1}{2} \right)+f(3)+f\left( \dfrac{1}{3} \right)+f(4)+f\left( \dfrac{1}{4} \right)+…+f(2 018)+f\left( \dfrac{1}{2\ 018} \right)=\)__________．
已知\(\dfrac{{ab}}{a{+}b}{=}2{,}\dfrac{{bc}}{b{+}c}{=}3{,}\dfrac{{ac}}{a{+}c}{=}1{,}\)则\(\dfrac{{abc}}{ab{+}bc{+}ac}{=}\)__________．
若\(a=\dfrac{1}{2}\)，则\(\dfrac{a}{{{(a+1)}^{2}}}+\dfrac{1}{{{(a+1)}^{2}}}\)的值为________．
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