在区间[1/2,2],函数f(x)=x*2+px+q与g(x)=2x+1/x*2在同一点取得相同的最小值,那么f(x)在[1/2,2]上的最大值是?4,我想知道具体的原因.g(x)=2x+1/x*2=x+x+1/xx>=3(x*x*1/xx)^1/3=3 不懂.
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/27 18:55:14
![在区间[1/2,2],函数f(x)=x*2+px+q与g(x)=2x+1/x*2在同一点取得相同的最小值,那么f(x)在[1/2,2]上的最大值是?4,我想知道具体的原因.g(x)=2x+1/x*2=x+x+1/xx>=3(x*x*1/xx)^1/3=3 不懂.](/uploads/image/z/12583956-12-6.jpg?t=%E5%9C%A8%E5%8C%BA%E9%97%B4%5B1%2F2%2C2%5D%2C%E5%87%BD%E6%95%B0f%28x%29%3Dx%2A2%2Bpx%2Bq%E4%B8%8Eg%28x%29%3D2x%2B1%2Fx%2A2%E5%9C%A8%E5%90%8C%E4%B8%80%E7%82%B9%E5%8F%96%E5%BE%97%E7%9B%B8%E5%90%8C%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC%2C%E9%82%A3%E4%B9%88f%28x%29%E5%9C%A8%5B1%2F2%2C2%5D%E4%B8%8A%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC%E6%98%AF%3F4%2C%E6%88%91%E6%83%B3%E7%9F%A5%E9%81%93%E5%85%B7%E4%BD%93%E7%9A%84%E5%8E%9F%E5%9B%A0.g%28x%29%3D2x%2B1%2Fx%2A2%3Dx%2Bx%2B1%2Fxx%3E%3D3%28x%2Ax%2A1%2Fxx%29%5E1%2F3%3D3+%E4%B8%8D%E6%87%82.)
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