解题方法
1 . 已知函数
(
,且
)是奇函数.
(1)判断函数
在
上的单调性,并用定义证明;
(2)令函数
.当
时,存在最大实数t,使得
时,
恒成立,请写出t关于a的表达式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1a4fa622dcfa9d561ea48fdf085a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e1c9c97de9198d47306216e9961b80.png)
(2)令函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879b2f388dfc709652a56929280f5af5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039136f4d7f841ce335ed0b2b505116a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c465618da2b5d14d906d857dc0afe4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbf5fe2d3d2ccb511ce789147d60bb8.png)
您最近一年使用:0次
名校
2 . 如图是某设计师设计的
型饰品的平面图,其中支架
,
,
两两成
,
,
,且
.现设计师在支架
上装点普通珠宝,普通珠宝的价值为
,且
与
长成正比,比例系数为
(
为正常数);在
区域(阴影区域)内镶嵌名贵珠宝,名贵珠宝的价值为
,且
与
的面积成正比,比例系数为
.设
,
.
![](https://img.xkw.com/dksih/QBM/2016/7/5/1572890305806336/1572890311720960/STEM/b9f0198f3bf7407eab6d53f5e112c39a.png)
(1)求
关于
的函数解析式,并写出
的取值范围;
(2)求
的最大值及相应的
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c67f27df0a1d06ba9c2f50478a6740b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69fc86ad68b8f2877570ee85daa40ed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e39748ea77d8f5b48fbfbe16a717de41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b076f71e247ba3ab512b8b2d67a47ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a21e7c3cd84ab1feddfbe9e6f5c11ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a419a1822ea167c15ef2aeeb59bd0bc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2378a9db0b150f0a9a410f01a27175f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f6dcd4c517bfc2ca8f2f97946bd2b2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e39748ea77d8f5b48fbfbe16a717de41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f9c827e46d1a395fafbf15cdd6c6c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f9c827e46d1a395fafbf15cdd6c6c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e39748ea77d8f5b48fbfbe16a717de41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5c03c37814c97ee09cf6d828396b364.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f92c0005348ac35069a9fd56068da81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f92c0005348ac35069a9fd56068da81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5c03c37814c97ee09cf6d828396b364.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5b40364fd5b0f0c555082aeb7c2ca38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc0933312779c310189facf99b147a59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fa9aec90a2ab8df6ac1406780012ed3.png)
![](https://img.xkw.com/dksih/QBM/2016/7/5/1572890305806336/1572890311720960/STEM/b9f0198f3bf7407eab6d53f5e112c39a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce40d798dafc26c90d944965ef87485c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
2016-12-04更新
|
502次组卷
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3卷引用:贵州省安顺市平坝区平坝第一高级中学2018-2019学年高一下学期期末数学试题