题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234834-37411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234834-99948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234834-31709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234834-14083.png)
(1)试将S表示成的函数S(k),并求出它的定义域;
(2)求S的最大值,并求取得最大值时k的值.
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234835-51113.png)
(2) 即
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234835-22419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234835-60562.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234835-68150.png)
(2)求最值要换元.令
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234835-35275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234836-49548.png)
解:如图,(1)直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234834-37411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234836-55540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234836-96990.png)
原点O到
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234834-37411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234836-70482.png)
弦长
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234837-49027.png)
△ABO面积
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234837-10631.png)
△
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234837-15293.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234837-92756.png)
(2) 令
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234835-35275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234838-95006.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234838-51090.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234838-13225.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234838-89820.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234835-60562.png)
另解:△ABO面积S=
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234838-28557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234839-74396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234839-32582.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234839-99443.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234835-22419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234835-60562.png)
核心考点
试题【已知直线:y="k" (x+2)与圆O:相交于A、B两点,O是坐标原点,ABO的面积为S.(1)试将S表示成的函数S(k),并求出它的定义域;(2)求S的最大值】;主要考察你对点到直线的距离等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234830-57965.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234830-72876.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234825-75769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234814-29971.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234815-12632.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234815-63945.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234815-25947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234815-85621.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234809-51725.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234809-12191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234809-26266.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234759-95974.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234759-60360.png)
A.相交 | B.相切 | C.相离 | D.以上都有可能 |
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