已知幂函数
在
上单调递增
(1)求m的值;
(2)若
,且
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700cf041d31cff475734be1fe347142a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
(1)求m的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/314e0a910b9927645b4dbaefb2935913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/904102713a56329cbb56b153127dc1c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd311f055e0ab607145b36b915cd116e.png)
更新时间:2022-11-24 20:18:23
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【推荐1】已知x和y是正数,且
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【推荐2】甲、乙同学分别解“已知
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甲:由基本不等式得
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,又
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乙:因为
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,
.
同学们,请通过思考用合适的方法求解下题:
已知
,
,若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ccbe255a7d973e1041d1476152b4dc.png)
求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a9344f4fca7b9779ca7720e5277ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21c7501096f4be07c98e97e29db21a21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/407e4330cfdd5cd0bcfd4f3bd1a898e6.png)
甲:由基本不等式得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3d79e354cf1cf6c5bb0d043b68d07a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21c7501096f4be07c98e97e29db21a21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca151609ac905d7afb1029e46871eb8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/421b46658c918a524d2bac634a43439a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1b90fe86747dc4b2db35a84a3fa1f45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91aabebca1d156f88f56fd50f9fe5bbe.png)
乙:因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21c7501096f4be07c98e97e29db21a21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08677c8308807e4dca6fd9410d301a39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ec42d8fad3691c5174f28306ddd63af.png)
同学们,请通过思考用合适的方法求解下题:
已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ccbe255a7d973e1041d1476152b4dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c915b4ce31fabfd4703c547291ad9277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43895441ab985675e2facdedf18575dc.png)
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