1 . 设实数
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a629ff9dcd6c23bf7846116c8581998b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb76c4956c01d52c178ae2ef29007689.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9623f28eff10a0df572b338888f1ea62.png)
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解题方法
2 . 设非负实数
,
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2046bf4297cc13491ec10c59a35b2f75.png)
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12-13高三·江苏·课后作业
3 . 给定两个数列
,
满足
,
,
.证明对于任意的自然数n,都存在自然数
,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9db87ffceab6741bf496f69449cc728d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e5b6a7d5f02b1bcad4651da55d7018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eae65e482011240d754603939aff90b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb93fa7102e3102b7e699acd8cff4d0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c49c88cf3882a48ba6b5a93de74df61a.png)
![](https://img.xkw.com/dksih/QBM/2013/8/19/1571317009309696/1571317014691840/STEM/ea95fb4ded51409dbd9648f01e29bbea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae58cd66daebc6dcfeaec8cd883f8573.png)
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4 . 已知点
在函数
图象上,数列
是以
为公比的等比数列,
.
(Ⅰ)设
,且
,求
的值;
(Ⅱ)令
,当
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6233dda29a7c4965bec023e5ef0c7388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f0fadbe551b0e0eb7bf9440be740b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1cf411c8f75433d8a9c5a817d02cf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b70b148a3590d2b779b3343f2d5346.png)
(Ⅰ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e7dcca2acb8fb6e6a6933a02e0a130b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcaeb620957993afaba97f4c4d7a6f0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
(Ⅱ)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e2f469ac7ea992166f4d75253bc8c83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58f45f5bc7c648c0e8924b4fa7b1ad08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83e7d3aacf3060cb96240090533646d1.png)
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