1 . 在锐角
中,
的最小值是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196999f3700590ae7489adee3148827e.png)
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名校
2 . 设
,则当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/695797cbadfe77a292710550f4482427.png)
_______ 时,
取到最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dad0ec1a1335d90dc7017d033d9370e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/695797cbadfe77a292710550f4482427.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/066c7466a8590462cec2f8a4a25f61fd.png)
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21-22高一上·上海浦东新·阶段练习
名校
解题方法
3 . 已知
,则
的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338ac09ffd9addc3dadf363152c3e39d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed03a22ed5672327fb3bce1a2ac21bc.png)
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4 . 设正实数
满足
,则
最大值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21aea4b9cdf4b1c51f1e770e74370b93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b80dfb28a5c41cfdd9d2a43465ced0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c888074323d7e57f80ad31235e4840d.png)
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5 . 已知正实数
满足
,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21aea4b9cdf4b1c51f1e770e74370b93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6f560f01fd966becba43e5c1baf6062.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdfc58fb5609724783d8e9ec311378c.png)
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6 . 实数a、b满足
,则
的最大值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04959523a28786962d51cfb43a8767d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ee9a91d646136a91f5b5621d23b19b8.png)
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解题方法
7 . 已知圆
与
轴相交于
两点,抛物线
与圆
相交于
两不同的点,则梯形
面积的最大值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97afdeaa1d4433cffe5005446fcbbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c29a7e8eea08197bf53164a560bee58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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8 . 使得
对一切正实数
,
恒成立的
最大实数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38e8a2d3734f01397e337b2fc81196dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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9 . 已知
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338ac09ffd9addc3dadf363152c3e39d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8768eb59703832c4ba706df72471a8c.png)
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10 . 在
中,
,
.若动点
,
分别在
,
边上,且直线
把
的面积等分,则线段
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43136f56e59f3f9e878d0c5d4ccbeecd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
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