名校
1 . 已知函数
,
.
(1)当
时,求函数
的值域;
(2)设
,求函数
最小值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c712cb23bc827ca50a59878b2c509e32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6070f2ee5e48cce77eb4a2cb9f11ccfb.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08ce80e91fdf435a8e3ec05be990e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d26a8f1a01b4c0ea95cf543bcdb49ba4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
您最近一年使用:0次
名校
2 . 已知
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fa16219c81e59619944814961f4f0c8.png)
(1)讨论
的奇偶性;
(2)当
为奇函数时,若方程
在
时有实根,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fa16219c81e59619944814961f4f0c8.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6dffb2d7203d3d40dae17b25b739c1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-01-31更新
|
944次组卷
|
3卷引用:山西省朔州市怀仁市重点中学2019-2020学年高一上学期期末数学试题
3 . 某市政府欲在如图所示的矩形
的非农业用地中规划出一个休闲娱乐公园(如图中阴影部分),形状为直角梯形
(线段
和
为两条底边),已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e33ccc70b853067d184dcc5b8459de04.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/300eaf6cba3b91d8c09db611e11582dd.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ff404c218faa8101298309554c53757.png)
,其中曲线
是以
为顶点、
为对称轴的抛物线的一部分.
![](https://img.xkw.com/dksih/QBM/2016/1/6/1572421473067008/1572421479448576/STEM/2ca0ee604ec24c10a4ea48a7ff78acfb.png)
(1)以
为原点,
所在直线为
轴建立直角坐标系,求曲线
所在抛物线的方程;
(2)求该公园的最大面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34b0c4c783dd55685bd3e88bb31c6696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a256acc1953e3cfe36343a9375169fa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82c9ef70f8fa5a0effb5ddd3ec3201a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b77eb3e3dd6bf9a4e637e98ec2ddccc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e33ccc70b853067d184dcc5b8459de04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5fe30c67ac20cd4e8b9cc2d0d420a7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/300eaf6cba3b91d8c09db611e11582dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5fe30c67ac20cd4e8b9cc2d0d420a7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ff404c218faa8101298309554c53757.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5fe30c67ac20cd4e8b9cc2d0d420a7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7382071f035087d3c35e3ffb741d981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aa5694373bd78b1ca2180f831bf1c8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b693717f525facc79b9a500ed998b109.png)
![](https://img.xkw.com/dksih/QBM/2016/1/6/1572421473067008/1572421479448576/STEM/2ca0ee604ec24c10a4ea48a7ff78acfb.png)
(1)以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aa5694373bd78b1ca2180f831bf1c8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d86a0a3e867a448094f74a54a1fee64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7382071f035087d3c35e3ffb741d981.png)
(2)求该公园的最大面积.
您最近一年使用:0次
2014·全国·一模
名校
4 . 某地需要修建一条大型输油管道通过240公里宽的沙漠地带,该段输油管道两端的输油站已建好,余下工程是在该段两端已建好的输油站之间铺设输油管道和等距离修建增压站(又称泵站).经预算,修建一个增压站的工程费用为400万元,铺设距离为
公里的相邻两增压站之间的输油管道费用为
万元.设余下工程的总费用为
万元.
(1)试将
表示成
的函数;
(2)需要修建多少个增压站才能使
最小,其最小值为多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/749d0e03dc286f2a835768d4ac5f07a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(1)试将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)需要修建多少个增压站才能使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
您最近一年使用:0次
2016-12-03更新
|
1282次组卷
|
8卷引用:山西省朔州市应县第一中学2020-2021学年高一上学期第四次月考数学试题
山西省朔州市应县第一中学2020-2021学年高一上学期第四次月考数学试题(已下线)2014年高考数学考前复习冲刺穿插滚动练习(二)(已下线)2013-2014学年福建省南安一中高一下学期期末考试数学试卷江苏省南通市启东中学2020-2021学年高二上学期第一次月考数学试题江苏省扬州市邗江区公道中学2020-2021学年高二上学期第二次测试数学试题吉林省洮南市第一中学2020-2021学年第一学期高一期中考试数学(理)试题广东省普宁市2020-2021学年高二上学期期末数学试题四川省乐山市2020-2021学年高一下学期期末数学试题