已知函数f(x)=ax^2+2bx(a不等于0),g(x)=2Inx,设F(x)=f(x)-g(x),且F(x)在x=1处取极值1,试用a表示b2若函数有F(x)在x属于(0,1/2】上不是单调函数,求a的取值范围;并求出函数y=F(x)在x属于(0,1/2】图像
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![已知函数f(x)=ax^2+2bx(a不等于0),g(x)=2Inx,设F(x)=f(x)-g(x),且F(x)在x=1处取极值1,试用a表示b2若函数有F(x)在x属于(0,1/2】上不是单调函数,求a的取值范围;并求出函数y=F(x)在x属于(0,1/2】图像](/uploads/image/z/10194913-1-3.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3Dax%5E2%2B2bx%28a%E4%B8%8D%E7%AD%89%E4%BA%8E0%EF%BC%89%2Cg%28x%29%3D2Inx%2C%E8%AE%BEF%28x%29%3Df%28x%29-g%28x%29%2C%E4%B8%94F%28x%29%E5%9C%A8x%3D1%E5%A4%84%E5%8F%96%E6%9E%81%E5%80%BC1%2C%E8%AF%95%E7%94%A8a%E8%A1%A8%E7%A4%BAb2%E8%8B%A5%E5%87%BD%E6%95%B0%E6%9C%89F%EF%BC%88x%EF%BC%89%E5%9C%A8x%E5%B1%9E%E4%BA%8E%EF%BC%880%2C1%2F2%E3%80%91%E4%B8%8A%E4%B8%8D%E6%98%AF%E5%8D%95%E8%B0%83%E5%87%BD%E6%95%B0%2C%E6%B1%82a%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4%EF%BC%9B%E5%B9%B6%E6%B1%82%E5%87%BA%E5%87%BD%E6%95%B0y%3DF%EF%BC%88x%EF%BC%89%E5%9C%A8x%E5%B1%9E%E4%BA%8E%EF%BC%880%2C1%2F2%E3%80%91%E5%9B%BE%E5%83%8F)
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