题目
题型:不详难度:来源:
①x2-y2=1;
②y=x2-|x|;
③y=3sinx+4cosx;
④|x|+1=
4-y2 |
对应的曲线中存在“自公切线”的有______.
答案
②y=x2-|x|=
|
1 |
2 |
1 |
2 |
1 |
4 |
③y=3sinx+4cosx=5sin(x+φ),cosφ=
3 |
5 |
4 |
5 |
④由于|x|+1=
4-y2 |
故答案为②③.
核心考点
试题【若在曲线f(x,y)=0上两个不同点处的切线重合,则称这条切线为曲线f(x,y)=0的“自公切线”.下列方程:①x2-y2=1;②y=x2-|x|;③y=3si】;主要考察你对曲线与方程的应用等知识点的理解。[详细]
举一反三
(1)求曲线C的轨迹方程;
(2)当M的坐标为(0,-l)时,求过M,A,B三点的圆的标准方程,并判断直线l与此圆的位置关系;
(3)当m变化时,试探究直线l上是否存在点M,使MA⊥MB?若存在,有几个这样的点,若不存在,请说明理由.
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050953-18335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050953-94864.png)
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![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050953-99153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050954-52983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050954-19861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050954-90888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050954-36512.png)
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![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050948-93714.gif)
A.![]() | B.2 | C.![]() | D.4 |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050939-32786.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050939-46434.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050939-69992.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050940-79276.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050939-32786.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050940-23906.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050926-83474.gif)
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![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050927-27336.gif)
(I)求
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050927-23928.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050927-68144.gif)
(II)设抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050926-83474.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050927-53799.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050927-98777.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050927-53799.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050926-83474.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050927-71873.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050927-77586.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050927-71113.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050927-71873.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050927-73856.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050926-83474.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050928-74417.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050928-49110.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050926-83474.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050928-78447.gif)
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