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
|
636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
3 . 如图,由沿河城市
运货到另一地点
.
离河岸最近的
处
.按沿河的距离算,
的距离为
.如果水路运费是公路运费
(
是大于1的实数),欲从点
修一条公路到河岸点
处,为使由
到
的总运费最小,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d57b4243fa7f6f9c73d11f3123c42ddb.png)
______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d25a880079465f9d55e5874420d8d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69218441ce7f881590be5cad324353b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d57b4243fa7f6f9c73d11f3123c42ddb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce89b633e5d6bcf9406e3f9208fe06d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/a2fe1287-c85f-45f3-a923-2f998962642c.png?resizew=156)
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