名校
1 . 若函数
的图像上存在两条互相垂直的切线,则实数
是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4b22235757f38ea98ad0e02ca04fc0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2018-12-28更新
|
639次组卷
|
3卷引用:山东省威海市第一中学2024届高三下学期第一次月考数学试题
2008高三·山东·竞赛
2 .
为一定点,
是
轴上的一动点,点
满足
.若点
满足
,求:
(1)点
的轨迹曲线
的方程;
(2)曲线
的任何两条相互垂直的切线的交点轨迹.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1208e24cb1d3ae6a50f161b970ec2b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d811e3371b79f5bd7a816acfa3aa4d0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e48f79069ada435c8225a124f149c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e751487e28612c4d5c75cdc99cbb02f9.png)
(1)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2012高三·山东·竞赛
3 . 设函数
满足当
时,均有
.设
在
时的最大值为
.试求所有函数
,使得存在
,满足
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6d7dec0c25da9ff7e609ba217331d52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88a6bea084567e3055f0e58499398a46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/366839b25310cb3168d411b1d5f73b06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0237b0c9cb09068e76c7f2b9a639161b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88a6bea084567e3055f0e58499398a46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28bb47982e7ef47c982071a70ffa60d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d092459156561e9001b9c56e8fae481.png)
您最近一年使用:0次
4 . 求直角坐标平面
上的点集
{
为R上单调函数,且
}所成图形的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/add507c54e79434e18c4e0c79ee702e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447a9718a502491b47072ce013c26a2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e308bcfae60eacf17af2c774d8e8f5ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a380067a20c25338eb0312e8df6c2760.png)
您最近一年使用:0次
2012高三·山东·竞赛
5 . 函数
的单调递减区间为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4f0a49cba17a64c151939ae43144d5c.png)
您最近一年使用:0次