计算:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c54879a047c806f4517936eaca663722.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dbe849b2e2cd5415379e948b31b26ab.png)
(3)已知
,用a,b表示
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c54879a047c806f4517936eaca663722.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dbe849b2e2cd5415379e948b31b26ab.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75dce6eb14f816d62e18c69e2e24faf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48af01a5d238347724aebaeba1ca8bc2.png)
19-20高一·浙江·期末 查看更多[1]
(已下线)【新东方】双师 (17)
更新时间:2020-11-18 16:48:40
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相似题推荐
解答题-证明题
|
适中
(0.65)
名校
解题方法
【推荐1】悬索桥(如图)的外观大漂亮,悬索的形状是平面几何中的悬链线.
年莱布尼兹和伯努利推导出某链线的方程为
,其中
为参数.当
时,该方程就是双曲余弦函数
,类似的我们有双曲正弦函数
.
![](https://img.xkw.com/dksih/QBM/2022/1/23/2900721970536448/2907279254913024/STEM/8a914e2499134cf68207c8add767fe65.png?resizew=325)
(1)从下列三个结论中选择一个进行证明,并求函数
的最小值;
①
;
②
;
③
.
(2)求证:
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/046db679c09a10434e81f7a01c55e243.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ad2f5a11d7437f506adab0996961269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0099b9b80ed478824fa95677ebe9d5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3321510a9eb73909a36c084a8630e89.png)
![](https://img.xkw.com/dksih/QBM/2022/1/23/2900721970536448/2907279254913024/STEM/8a914e2499134cf68207c8add767fe65.png?resizew=325)
(1)从下列三个结论中选择一个进行证明,并求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3634cf0ca04b381dec8fcfee8805bdac.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ff61bdd9ed784248cfdcc965ce06db0.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e40ff30f6f7fca28159dedeff7168c74.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c3de984177769fa426e10eb14cd82c.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0645c3c42e19271f86a10b1fe9dbb0f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b39ee39c38f49390a03be161109a2b4.png)
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