名校
1 . 如图所示,合肥一中积极开展美丽校园建设,现拟在边长为0.6千米的正方形地块
上划出一片三角形地块
建设小型生态园,点
分别在边
上.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/71886729-eb46-4b62-9618-1ccb10024ad5.png?resizew=135)
(1)当点
分别时边
中点和
靠近
的三等分点时,求
的余弦值;
(2)实地勘察后发现,由于地形等原因,
的周长必须为1.2千米,请研究
是否为定值,若是,求此定值,若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70db40c42655327adee01caedfc9d50c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9df7fc746f8c4801d8f2f0471ba3297e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/71886729-eb46-4b62-9618-1ccb10024ad5.png?resizew=135)
(1)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f8eff113ca3f0d0200253c7c2f5a7a.png)
(2)实地勘察后发现,由于地形等原因,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a9fc2dda89829fa2c610a8fce86d22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f8eff113ca3f0d0200253c7c2f5a7a.png)
您最近一年使用:0次
2019-10-14更新
|
1258次组卷
|
3卷引用:辽宁省沈阳市东北育才学校2019-2020学年高一下学期期中数学试题
2 . 设函数
,已知对于
内的任意
,总存在
内的
,使得
,则
的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b6bc5be1f6650405734febefd2d25a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd81e5bf83113d3c2d086d1db9ab1a80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd81e5bf83113d3c2d086d1db9ab1a80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/621dcdcda531ea579ce0af1380e602d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.最大值为3 | B.最小值为3 | C.最大值为![]() | D.最小值为![]() |
您最近一年使用:0次
10-11高一下·辽宁抚顺·期末
3 . 如图,函数
,
(其中
)的图象与
轴交于点
.
(1)求
的值;
(2)若
,求函数
的最值,及取得最值时
的值;
(3)设
是图象上的最高点,
、
是图象与
轴的交点,求
与
的夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17b3fd9bff12f02f1e178e40a5374e27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/decd18aa25232173ccc2a5cf975dad72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17b3fd9bff12f02f1e178e40a5374e27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f5ad849321c004834b89b6d26594e32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc37a21e51692ea9acb99ff0a25ae280.png)
![](https://img.xkw.com/dksih/QBM/2011/7/13/1570257399169024/1570257404559360/STEM/d8d641e2c887489787bec5969e74f18d.png?resizew=231)
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