已知函数f(x)=alnx-1/2x^2+1/2 已知函数f(x)=alnx-1/2x^2+1/2(a属于R 且a不等于零)1.求f(x)的单调区间2.是否存在实数a,使的对任意的x属于[1,+无穷),都有f(x)小于等于零?,若存在,求a的取值范
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![已知函数f(x)=alnx-1/2x^2+1/2 已知函数f(x)=alnx-1/2x^2+1/2(a属于R 且a不等于零)1.求f(x)的单调区间2.是否存在实数a,使的对任意的x属于[1,+无穷),都有f(x)小于等于零?,若存在,求a的取值范](/uploads/image/z/3938078-38-8.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%3Dalnx-1%2F2x%5E2%2B1%2F2+%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%3Dalnx-1%2F2x%5E2%2B1%2F2%EF%BC%88a%E5%B1%9E%E4%BA%8ER+%E4%B8%94a%E4%B8%8D%E7%AD%89%E4%BA%8E%E9%9B%B6%EF%BC%891.%E6%B1%82f%EF%BC%88x%EF%BC%89%E7%9A%84%E5%8D%95%E8%B0%83%E5%8C%BA%E9%97%B42.%E6%98%AF%E5%90%A6%E5%AD%98%E5%9C%A8%E5%AE%9E%E6%95%B0a%2C%E4%BD%BF%E7%9A%84%E5%AF%B9%E4%BB%BB%E6%84%8F%E7%9A%84x%E5%B1%9E%E4%BA%8E%5B1%2C%2B%E6%97%A0%E7%A9%B7%EF%BC%89%2C%E9%83%BD%E6%9C%89f%EF%BC%88x%EF%BC%89%E5%B0%8F%E4%BA%8E%E7%AD%89%E4%BA%8E%E9%9B%B6%3F%2C%E8%8B%A5%E5%AD%98%E5%9C%A8%2C%E6%B1%82a%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83)
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