设f(x)=lnx-(x-a)/√x(其中a>0),g(x)=2(x-1)-(x^2+1)lnx⑴已知f(x)和g(x)在[1,+∞)上单调性一致,求a的取值范围.⑵设b>1,证明不等式2/(1+b^2)<lnb/(b-1)<1/√b.
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![设f(x)=lnx-(x-a)/√x(其中a>0),g(x)=2(x-1)-(x^2+1)lnx⑴已知f(x)和g(x)在[1,+∞)上单调性一致,求a的取值范围.⑵设b>1,证明不等式2/(1+b^2)<lnb/(b-1)<1/√b.](/uploads/image/z/8771441-41-1.jpg?t=%E8%AE%BEf%28x%29%3Dlnx-%28x-a%29%2F%E2%88%9Ax%28%E5%85%B6%E4%B8%ADa%3E0%29%2Cg%28x%29%3D2%28x-1%29-%28x%5E2%2B1%29lnx%E2%91%B4%E5%B7%B2%E7%9F%A5f%EF%BC%88x%EF%BC%89%E5%92%8Cg%EF%BC%88x%EF%BC%89%E5%9C%A8%EF%BC%BB1%2C%2B%E2%88%9E%EF%BC%89%E4%B8%8A%E5%8D%95%E8%B0%83%E6%80%A7%E4%B8%80%E8%87%B4%2C%E6%B1%82a%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4.%E2%91%B5%E8%AE%BEb%EF%BC%9E1%2C%E8%AF%81%E6%98%8E%E4%B8%8D%E7%AD%89%E5%BC%8F2%EF%BC%8F%EF%BC%881%2Bb%EF%BC%BE2%EF%BC%89%EF%BC%9Clnb%EF%BC%8F%EF%BC%88b-1%EF%BC%89%EF%BC%9C1%EF%BC%8F%E2%88%9Ab.)
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设f(x)=lnx-(x-a)/√x(其中a>0),g(x)=2(x-1)-(x^2+1)lnx⑴已知f(x)和g(x)在[1,+∞)上单调性一致,求a的取值范围.⑵设b>1,证明不等式2/(1+b^2)<lnb/(b-1)<1/√b.
设f(x)=lnx-(x-a)/√x(其中a>0),g(x)=2(x-1)-(x^2+1)lnx
⑴已知f(x)和g(x)在[1,+∞)上单调性一致,求a的取值范围.
⑵设b>1,证明不等式2/(1+b^2)<lnb/(b-1)<1/√b.
设f(x)=lnx-(x-a)/√x(其中a>0),g(x)=2(x-1)-(x^2+1)lnx⑴已知f(x)和g(x)在[1,+∞)上单调性一致,求a的取值范围.⑵设b>1,证明不等式2/(1+b^2)<lnb/(b-1)<1/√b.