已知函数f(x)=ax的3次方-3/2x的平方+1(x属于R),其中a>0.(1)若a=1,求曲线y=f(x)在点(2,f(2))处的切线方程.(2)若在区间[-1/2,1/2]上,f(x)>0横成立,求实数a的取值范围.
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![已知函数f(x)=ax的3次方-3/2x的平方+1(x属于R),其中a>0.(1)若a=1,求曲线y=f(x)在点(2,f(2))处的切线方程.(2)若在区间[-1/2,1/2]上,f(x)>0横成立,求实数a的取值范围.](/uploads/image/z/12709443-3-3.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3Dax%E7%9A%843%E6%AC%A1%E6%96%B9-3%2F2x%E7%9A%84%E5%B9%B3%E6%96%B9%2B1%EF%BC%88x%E5%B1%9E%E4%BA%8ER%EF%BC%89%2C%E5%85%B6%E4%B8%ADa%3E0.%EF%BC%881%EF%BC%89%E8%8B%A5a%3D1%2C%E6%B1%82%E6%9B%B2%E7%BA%BFy%3Df%28x%29%E5%9C%A8%E7%82%B9%EF%BC%882%2Cf%282%29%EF%BC%89%E5%A4%84%E7%9A%84%E5%88%87%E7%BA%BF%E6%96%B9%E7%A8%8B.%EF%BC%882%EF%BC%89%E8%8B%A5%E5%9C%A8%E5%8C%BA%E9%97%B4%5B-1%2F2%2C1%2F2%5D%E4%B8%8A%2Cf%28x%29%3E0%E6%A8%AA%E6%88%90%E7%AB%8B%2C%E6%B1%82%E5%AE%9E%E6%95%B0a%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4.)
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