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\(f\left ( {x} \right )=k{a}^{x}-{a}^{-x}\)(\(a>0\)且 \(a≠1\))是定义在 \(\text{R}\) 上的奇函数,且\(f\left ( {1} \right )=\frac {3} {2}\)
求 \(a,k\)
参考答案:由题意,\(f\left ( {0} \right )=k-1=0⇒k=1\),代入验证,符合题意,\(f\left ( {1} \right )=a-\frac {1} {a}=\frac {3} {2}⇒a=2\) 或\(a=-\frac {1} {2}\) (舍),故\(k=1,a=2\) .
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