已知函数f(x)=alnx-bx2图像上一点p(2,f(2))处的切线方程为y=-3x+2ln2+2(1)求a,b的值(2)若方程f(x)+m=0在[1/e,e]内有两个不等实根,求实数m的范围(3)令g(X)=f(x)-nx,如果g(x)图像与x轴交于A(X1,0),B(X2,0),X1
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![已知函数f(x)=alnx-bx2图像上一点p(2,f(2))处的切线方程为y=-3x+2ln2+2(1)求a,b的值(2)若方程f(x)+m=0在[1/e,e]内有两个不等实根,求实数m的范围(3)令g(X)=f(x)-nx,如果g(x)图像与x轴交于A(X1,0),B(X2,0),X1](/uploads/image/z/121975-7-5.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3Dalnx-bx2%E5%9B%BE%E5%83%8F%E4%B8%8A%E4%B8%80%E7%82%B9p%282%2Cf%282%29%29%E5%A4%84%E7%9A%84%E5%88%87%E7%BA%BF%E6%96%B9%E7%A8%8B%E4%B8%BAy%3D-3x%2B2ln2%2B2%281%29%E6%B1%82a%2Cb%E7%9A%84%E5%80%BC%EF%BC%882%EF%BC%89%E8%8B%A5%E6%96%B9%E7%A8%8Bf%28x%29%2Bm%3D0%E5%9C%A8%5B1%2Fe%2Ce%5D%E5%86%85%E6%9C%89%E4%B8%A4%E4%B8%AA%E4%B8%8D%E7%AD%89%E5%AE%9E%E6%A0%B9%2C%E6%B1%82%E5%AE%9E%E6%95%B0m%E7%9A%84%E8%8C%83%E5%9B%B4%EF%BC%883%EF%BC%89%E4%BB%A4g%28X%29%3Df%28x%29-nx%2C%E5%A6%82%E6%9E%9Cg%28x%EF%BC%89%E5%9B%BE%E5%83%8F%E4%B8%8Ex%E8%BD%B4%E4%BA%A4%E4%BA%8EA%28X1%2C0%29%2CB%28X2%2C0%29%2CX1)
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